%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWW308+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 : n010.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 18:07:03 EDT 2024 % Result : Theorem 209.33s 209.61s % Output : CNFRefutation 209.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SWW308+1 : TPTP v8.2.0. Released v5.2.0. % 0.07/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n010.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Wed Jun 19 05:27:39 EDT 2024 % 0.12/0.33 % CPUTime : % 0.47/0.58 start to proof:theBenchmark % 208.82/209.44 %------------------------------------------- % 208.82/209.44 % File :CSE---1.7 % 208.82/209.44 % Problem :theBenchmark % 208.82/209.44 % Transform :cnf % 208.82/209.44 % Format :tptp:raw % 208.82/209.44 % Command :java -jar mcs_scs.jar %d %s % 208.82/209.44 % 208.82/209.44 % Result :Theorem 194.890000s % 208.82/209.44 % Output :CNFRefutation 194.890000s % 208.82/209.44 %------------------------------------------- % 208.82/209.44 %------------------------------------------------------------------------------ % 208.82/209.44 % File : SWW308+1 : TPTP v8.2.0. Released v5.2.0. % 208.82/209.44 % Domain : Software Verification % 208.82/209.44 % Problem : Hoare's Logic with Procedures 434931, 5000 axioms selected % 208.82/209.44 % Version : Especial. % 208.82/209.45 % English : % 208.82/209.45 % 208.82/209.45 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 208.82/209.45 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe % 208.82/209.45 % Source : [Bla11] % 208.82/209.45 % Names : hoare_434931.5000.p [Bla11] % 208.82/209.45 % 208.82/209.45 % Status : ContradictoryAxioms % 208.82/209.45 % Rating : 0.81 v8.2.0, 0.75 v8.1.0, 0.78 v7.4.0, 0.87 v7.3.0, 0.83 v7.1.0, 0.78 v7.0.0, 0.87 v6.4.0, 0.81 v6.3.0, 0.79 v6.2.0, 0.88 v6.1.0, 0.97 v6.0.0, 0.91 v5.5.0, 0.96 v5.3.0, 1.00 v5.2.0 % 208.82/209.45 % Syntax : Number of formulae : 5228 (1699 unt; 0 def) % 208.85/209.45 % Number of atoms : 12658 (4465 equ) % 208.85/209.45 % Maximal formula atoms : 13 ( 2 avg) % 208.85/209.45 % Number of connectives : 8428 ( 998 ~; 145 |; 705 &) % 208.85/209.45 % ( 892 <=>;5688 =>; 0 <=; 0 <~>) % 208.85/209.45 % Maximal formula depth : 22 ( 6 avg) % 208.85/209.45 % Maximal term depth : 19 ( 2 avg) % 208.85/209.45 % Number of predicates : 148 ( 147 usr; 0 prp; 1-6 aty) % 208.85/209.45 % Number of functors : 396 ( 396 usr; 53 con; 0-7 aty) % 208.85/209.45 % Number of variables : 16649 (16497 !; 152 ?) % 208.85/209.45 % SPC : FOF_CAX_RFO_SEQ % 208.85/209.45 % 208.85/209.45 % Comments : This file was generated by Isabelle (most likely Sledgehammer) % 208.85/209.45 % 2011-03-01 11:38:10 % 208.85/209.45 %------------------------------------------------------------------------------ % 208.85/209.45 %----Relevant facts (4985) % 208.85/209.45 fof(fact_ext,axiom, % 208.85/209.45 ! [V_g_2,V_f_2] : % 208.85/209.45 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) % 208.85/209.45 => V_f_2 = V_g_2 ) ). % 208.85/209.45 % 208.85/209.45 fof(fact_empty,axiom, % 208.85/209.45 ! [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))) ). % 208.85/209.45 % 208.85/209.45 fof(fact_hoare__derivs_Oequations_I1_J,axiom, % 208.85/209.45 ! [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))) ). % 208.85/209.45 % 208.85/209.45 fof(fact_triple_Oinject,axiom, % 208.85/209.45 ! [V_fun2_H_2,V_com_H_2,V_fun1_H_2,V_fun2_2,V_com_2,V_fun1_2,T_b] : % 208.85/209.45 ( c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_fun1_2,V_com_2,V_fun2_2) = c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_fun1_H_2,V_com_H_2,V_fun2_H_2) % 208.85/209.45 <=> ( V_fun1_2 = V_fun1_H_2 % 208.85/209.45 & V_com_2 = V_com_H_2 % 208.85/209.45 & V_fun2_2 = V_fun2_H_2 ) ) ). % 208.85/209.45 % 208.85/209.45 fof(fact_cut,axiom, % 208.85/209.45 ! [V_Ga_2,V_ts_2,V_G_H_2,T_b] : % 208.85/209.45 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_H_2,V_ts_2) % 208.85/209.45 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_G_H_2) % 208.85/209.45 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ). % 208.85/209.45 % 208.85/209.45 fof(fact_hoare__derivs_Oinsert,axiom, % 208.85/209.45 ! [V_ts_2,V_t_2,V_Ga_2,T_b] : % 208.85/209.45 ( 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)))) % 208.85/209.45 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) % 208.85/209.45 => 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)) ) ) ). % 208.85/209.45 % 208.85/209.45 fof(fact_bot__fun__def,axiom, % 208.85/209.45 ! [V_x_2,T_c,T_b] : % 208.85/209.45 ( class_Orderings_Obot(T_b) % 208.85/209.45 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ). % 208.85/209.45 % 208.85/209.45 fof(fact_triple_Orecs,axiom, % 208.85/209.45 ! [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,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) ). % 208.85/209.45 % 208.85/209.45 fof(fact_triple_Osimps_I2_J,axiom, % 208.85/209.45 ! [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,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) ). % 208.85/209.45 % 208.85/209.45 fof(fact_empty__not__insert,axiom, % 208.85/209.45 ! [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) ). % 208.85/209.45 % 208.85/209.45 fof(fact_insert__not__empty,axiom, % 208.85/209.45 ! [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)) ). % 208.85/209.45 % 208.85/209.45 fof(fact_doubleton__eq__iff,axiom, % 208.85/209.45 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] : % 208.85/209.45 ( 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)))) % 208.85/209.45 <=> ( ( V_a_2 = V_ca_2 % 208.85/209.45 & V_ba_2 = V_d_2 ) % 208.85/209.45 | ( V_a_2 = V_d_2 % 208.85/209.45 & V_ba_2 = V_ca_2 ) ) ) ). % 208.85/209.45 % 208.85/209.45 fof(fact_singleton__inject,axiom, % 208.85/209.45 ! [V_ba_2,V_a_2,T_b] : % 208.85/209.45 ( 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))) % 208.85/209.45 => V_a_2 = V_ba_2 ) ). % 208.85/209.45 % 208.85/209.45 fof(fact_bot__apply,axiom, % 208.85/209.45 ! [V_x_2,T_c,T_b] : % 208.85/209.45 ( class_Orderings_Obot(T_b) % 208.85/209.45 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ). % 208.85/209.45 % 208.85/209.45 fof(fact_escape,axiom, % 208.85/209.45 ! [V_Q_2,V_ca_2,V_Ga_2,T_b,V_Pa_2] : % 208.85/209.45 ( ! [B_Z,B_s] : % 208.85/209.45 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s)) % 208.85/209.45 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),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)))) ) % 208.85/209.45 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),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)))) ) ). % 208.85/209.45 % 208.85/209.45 fof(fact_hoare__derivs_OSkip,axiom, % 208.85/209.45 ! [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)),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)))) ). % 208.85/209.45 % 208.85/209.45 fof(fact_hoare__derivs_Oequations_I7_J,axiom, % 208.85/209.45 ! [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)),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)))) ). % 208.85/209.45 % 208.85/209.45 fof(fact_conseq2,axiom, % 208.85/209.45 ! [V_Q_2,V_Q_H_2,V_ca_2,V_Pa_2,V_Ga_2,T_b] : % 208.85/209.45 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),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)))) % 208.85/209.45 => ( ! [B_Z,B_s] : % 208.85/209.45 ( hBOOL(hAPP(hAPP(V_Q_H_2,B_Z),B_s)) % 208.85/209.45 => hBOOL(hAPP(hAPP(V_Q_2,B_Z),B_s)) ) % 208.85/209.45 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),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)))) ) ) ). % 208.85/209.45 % 208.85/209.45 fof(fact_insert__code,axiom, % 208.85/209.45 ! [V_x_2,V_A_2,V_y_2,T_b] : % 208.85/209.45 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2)) % 208.85/209.45 <=> ( V_y_2 = V_x_2 % 208.85/209.45 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ). % 208.85/209.45 % 208.85/209.45 fof(fact_insert__commute,axiom, % 208.85/209.45 ! [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)) ). % 208.85/209.45 % 208.85/209.45 fof(fact_insert__absorb2,axiom, % 208.85/209.45 ! [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) ). % 208.85/209.45 % 208.85/209.45 fof(fact_the__elem__eq,axiom, % 208.85/209.45 ! [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 ). % 208.85/209.45 % 208.85/209.45 fof(fact_com_Osimps_I17_J,axiom, % 208.85/209.45 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSKIP ). % 208.85/209.45 % 208.85/209.45 fof(fact_com_Osimps_I16_J,axiom, % 208.85/209.45 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ). % 208.85/209.45 % 208.85/209.45 fof(fact_conseq1,axiom, % 208.85/209.45 ! [V_Pa_2,V_Q_2,V_ca_2,V_P_H_2,V_Ga_2,T_b] : % 208.85/209.45 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),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)))) % 208.85/209.45 => ( ! [B_Z,B_s] : % 208.85/209.45 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s)) % 208.85/209.45 => hBOOL(hAPP(hAPP(V_P_H_2,B_Z),B_s)) ) % 208.85/209.45 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),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)))) ) ) ). % 208.85/209.45 % 208.85/209.45 fof(fact_Comp,axiom, % 208.85/209.45 ! [V_R_2,V_d_2,V_Q_2,V_ca_2,V_Pa_2,V_Ga_2,T_b] : % 208.85/209.45 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),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)))) % 208.85/209.45 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),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)))) % 208.85/209.45 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),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)))) ) ) ). % 208.85/209.45 % 208.85/209.45 fof(fact_com_Osimps_I5_J,axiom, % 208.85/209.45 ! [V_com_H_2,V_fun_H_2,V_com_2,V_fun_2] : % 208.85/209.45 ( c_Com_Ocom_OWhile(V_fun_2,V_com_2) = c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) % 208.85/209.45 <=> ( V_fun_2 = V_fun_H_2 % 208.85/209.45 & V_com_2 = V_com_H_2 ) ) ). % 208.85/209.45 % 208.85/209.45 fof(fact_Loop,axiom, % 208.85/209.45 ! [V_ca_2,V_ba_2,V_Pa_2,V_Ga_2,T_b] : % 208.85/209.45 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),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)))) % 208.85/209.45 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),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)))) ) ). % 208.85/209.45 % 208.85/209.45 fof(fact_conseq12,axiom, % 208.85/209.45 ! [V_Q_2,V_Pa_2,V_Q_H_2,V_ca_2,V_P_H_2,V_Ga_2,T_b] : % 208.85/209.45 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),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)))) % 208.85/209.45 => ( ! [B_Z,B_s] : % 208.85/209.45 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s)) % 208.85/209.45 => ! [B_s_H] : % 208.85/209.45 ( ! [B_Z_H] : % 208.85/209.45 ( hBOOL(hAPP(hAPP(V_P_H_2,B_Z_H),B_s)) % 208.85/209.45 => hBOOL(hAPP(hAPP(V_Q_H_2,B_Z_H),B_s_H)) ) % 208.85/209.45 => hBOOL(hAPP(hAPP(V_Q_2,B_Z),B_s_H)) ) ) % 208.85/209.45 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),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)))) ) ) ). % 208.85/209.45 % 208.85/209.45 fof(fact_hoare__derivs_Oequations_I8_J,axiom, % 208.85/209.45 ! [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)),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)))) ). % 208.85/209.45 % 208.85/209.45 fof(fact_Ass,axiom, % 208.85/209.45 ! [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)),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)))) ). % 208.85/209.45 % 208.85/209.45 fof(fact_the__elem__def,axiom, % 208.85/209.45 ! [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))))) ). % 208.85/209.45 % 208.85/209.45 fof(fact_Collect__conv__if,axiom, % 208.85/209.45 ! [T_b,V_a_2,V_Pa_2] : % 208.85/209.45 ( ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 208.85/209.45 => 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))) ) % 208.85/209.45 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2)) % 208.85/209.45 => 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)) ) ) ). % 208.85/209.45 % 208.85/209.45 fof(fact_Collect__def,axiom, % 208.85/209.45 ! [V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),V_Pa_2) = V_Pa_2 ). % 208.85/209.45 % 208.85/209.45 fof(fact_com_Osimps_I3_J,axiom, % 208.85/209.45 ! [V_com2_H_2,V_com1_H_2,V_com2_2,V_com1_2] : % 208.85/209.45 ( c_Com_Ocom_OSemi(V_com1_2,V_com2_2) = c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) % 208.85/209.45 <=> ( V_com1_2 = V_com1_H_2 % 208.85/209.45 & V_com2_2 = V_com2_H_2 ) ) ). % 208.85/209.45 % 208.85/209.45 fof(fact_com_Osimps_I1_J,axiom, % 208.85/209.45 ! [V_fun_H_2,V_vname_H_2,V_fun_2,V_vname_2] : % 208.85/209.45 ( c_Com_Ocom_OAss(V_vname_2,V_fun_2) = c_Com_Ocom_OAss(V_vname_H_2,V_fun_H_2) % 208.85/209.45 <=> ( V_vname_2 = V_vname_H_2 % 208.85/209.45 & V_fun_2 = V_fun_H_2 ) ) ). % 208.85/209.45 % 208.85/209.46 fof(fact_com_Osimps_I25_J,axiom, % 208.85/209.46 ! [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) ). % 208.85/209.46 % 208.85/209.46 fof(fact_com_Osimps_I24_J,axiom, % 208.85/209.46 ! [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) ). % 208.85/209.46 % 208.85/209.46 fof(fact_com_Osimps_I28_J,axiom, % 208.85/209.46 ! [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) ). % 208.85/209.46 % 208.85/209.46 fof(fact_com_Osimps_I29_J,axiom, % 208.85/209.46 ! [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) ). % 208.85/209.46 % 208.85/209.46 fof(fact_com_Osimps_I9_J,axiom, % 208.85/209.46 ! [V_fun_H_2,V_vname_H_2] : c_Com_Ocom_OAss(V_vname_H_2,V_fun_H_2) != c_Com_Ocom_OSKIP ). % 208.85/209.46 % 208.85/209.46 fof(fact_com_Osimps_I8_J,axiom, % 208.85/209.46 ! [V_fun_H_2,V_vname_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OAss(V_vname_H_2,V_fun_H_2) ). % 208.85/209.46 % 208.85/209.46 fof(fact_com_Osimps_I46_J,axiom, % 208.85/209.46 ! [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) ). % 208.85/209.46 % 208.85/209.46 fof(fact_com_Osimps_I47_J,axiom, % 208.85/209.46 ! [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) ). % 208.85/209.46 % 208.85/209.46 fof(fact_com_Osimps_I13_J,axiom, % 208.85/209.46 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ). % 208.85/209.46 % 208.85/209.46 fof(fact_com_Osimps_I12_J,axiom, % 208.85/209.46 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ). % 208.85/209.46 % 208.85/209.46 fof(fact_empty__Collect__eq,axiom, % 208.85/209.46 ! [V_Pa_2,T_b] : % 208.85/209.46 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),V_Pa_2) % 208.85/209.46 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ). % 208.85/209.46 % 208.85/209.46 fof(fact_Collect__empty__eq,axiom, % 208.85/209.46 ! [V_Pa_2,T_b] : % 208.85/209.46 ( hAPP(c_Set_OCollect(T_b),V_Pa_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.46 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ). % 208.85/209.46 % 208.85/209.46 fof(fact_empty__def,axiom, % 208.85/209.46 ! [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)) ). % 208.85/209.46 % 208.85/209.46 fof(fact_insert__Collect,axiom, % 208.85/209.46 ! [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)) ). % 208.85/209.46 % 208.85/209.46 fof(fact_peek__and__def,axiom, % 208.85/209.46 ! [V_s_2,V_Z_2,V_p_2,V_Pa_2,T_b] : % 208.85/209.46 ( hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,V_p_2),V_Z_2),V_s_2)) % 208.85/209.46 <=> ( hBOOL(hAPP(hAPP(V_Pa_2,V_Z_2),V_s_2)) % 208.85/209.46 & hBOOL(hAPP(V_p_2,V_s_2)) ) ) ). % 208.85/209.46 % 208.85/209.46 fof(fact_singleton__conv2,axiom, % 208.85/209.46 ! [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))) ). % 208.85/209.46 % 208.85/209.46 fof(fact_singleton__conv,axiom, % 208.85/209.46 ! [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))) ). % 208.85/209.46 % 208.85/209.46 fof(fact_Collect__conv__if2,axiom, % 208.85/209.46 ! [T_b,V_a_2,V_Pa_2] : % 208.85/209.46 ( ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 208.85/209.46 => 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))) ) % 208.85/209.46 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2)) % 208.85/209.46 => 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)) ) ) ). % 208.85/209.46 % 208.85/209.46 fof(fact_hoare__derivs_OIf,axiom, % 208.85/209.46 ! [V_d_2,V_Q_2,V_ca_2,V_ba_2,V_Pa_2,V_Ga_2,T_b] : % 208.85/209.46 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),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)))) % 208.85/209.46 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),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)))) % 208.85/209.46 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),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)))) ) ) ). % 208.85/209.46 % 208.85/209.46 fof(fact_the__eq__trivial,axiom, % 208.85/209.46 ! [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 ). % 208.85/209.46 % 208.85/209.46 fof(fact_the__sym__eq__trivial,axiom, % 208.85/209.46 ! [V_x_2,T_b] : c_HOL_OThe(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ). % 208.85/209.46 % 208.85/209.46 fof(fact_K__record__comp,axiom, % 208.85/209.46 ! [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 ). % 208.85/209.46 % 208.85/209.46 fof(fact_o__def,axiom, % 208.85/209.46 ! [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)) ). % 208.85/209.46 % 208.85/209.46 fof(fact_o__eq__elim,axiom, % 208.85/209.46 ! [V_d_2,V_ca_2,T_e,V_ba_2,V_a_2,T_b,T_c,T_d] : % 208.85/209.46 ( 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) % 208.85/209.46 => ! [B_v] : hAPP(V_a_2,hAPP(V_ba_2,B_v)) = hAPP(V_ca_2,hAPP(V_d_2,B_v)) ) ). % 208.85/209.46 % 208.85/209.46 fof(fact_o__eq__dest,axiom, % 208.85/209.46 ! [V_v_2,V_d_2,V_ca_2,T_e,V_ba_2,V_a_2,T_b,T_c,T_d] : % 208.85/209.46 ( 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) % 208.85/209.46 => hAPP(V_a_2,hAPP(V_ba_2,V_v_2)) = hAPP(V_ca_2,hAPP(V_d_2,V_v_2)) ) ). % 208.85/209.46 % 208.85/209.46 fof(fact_o__eq__dest__lhs,axiom, % 208.85/209.46 ! [V_v_2,V_ca_2,V_ba_2,V_a_2,T_b,T_c,T_d] : % 208.85/209.46 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_ba_2) = V_ca_2 % 208.85/209.46 => hAPP(V_a_2,hAPP(V_ba_2,V_v_2)) = hAPP(V_ca_2,V_v_2) ) ). % 208.85/209.46 % 208.85/209.46 fof(fact_comp__cong,axiom, % 208.85/209.46 ! [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] : % 208.85/209.46 ( 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)) % 208.85/209.46 => 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) ) ). % 208.85/209.46 % 208.85/209.46 fof(fact_o__apply,axiom, % 208.85/209.46 ! [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)) ). % 208.85/209.46 % 208.85/209.46 fof(fact_o__assoc,axiom, % 208.85/209.46 ! [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) ). % 208.85/209.46 % 208.85/209.46 fof(fact_insert__compr,axiom, % 208.85/209.46 ! [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))) ). % 208.85/209.46 % 208.85/209.46 fof(fact_equalityCE,axiom, % 208.85/209.46 ! [V_ca_2,T_b,V_B_2,V_A_2] : % 208.85/209.46 ( V_A_2 = V_B_2 % 208.85/209.46 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 208.85/209.46 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) % 208.85/209.46 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 208.85/209.46 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ) ). % 208.85/209.46 % 208.85/209.46 fof(fact_emptyE,axiom, % 208.85/209.46 ! [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)))) ). % 208.85/209.46 % 208.85/209.46 fof(fact_insertCI,axiom, % 208.85/209.46 ! [V_ba_2,V_B_2,V_a_2,T_b] : % 208.85/209.46 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 208.85/209.46 => V_a_2 = V_ba_2 ) % 208.85/209.46 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),V_B_2))) ) ). % 208.85/209.46 % 208.85/209.46 fof(fact_insertE,axiom, % 208.85/209.46 ! [V_A_2,V_ba_2,V_a_2,T_b] : % 208.85/209.46 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),V_A_2))) % 208.85/209.46 => ( V_a_2 != V_ba_2 % 208.85/209.46 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 208.85/209.46 % 208.85/209.46 fof(fact_CollectI,axiom, % 208.85/209.46 ! [T_b,V_a_2,V_Pa_2] : % 208.85/209.46 ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 208.85/209.46 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) ) ). % 208.85/209.46 % 208.85/209.46 fof(fact_com_Osimps_I4_J,axiom, % 208.85/209.46 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com2_2,V_com1_2,V_fun_2] : % 208.85/209.46 ( 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) % 208.85/209.46 <=> ( V_fun_2 = V_fun_H_2 % 208.85/209.46 & V_com1_2 = V_com1_H_2 % 208.85/209.46 & V_com2_2 = V_com2_H_2 ) ) ). % 208.85/209.46 % 208.85/209.46 fof(fact_eq__mem__trans,axiom, % 208.85/209.46 ! [V_A_2,T_b,V_ba_2,V_a_2] : % 208.85/209.46 ( V_a_2 = V_ba_2 % 208.85/209.46 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),V_A_2)) % 208.85/209.46 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 208.85/209.46 % 208.85/209.46 fof(fact_eqelem__imp__iff,axiom, % 208.85/209.46 ! [V_A_2,T_b,V_y_2,V_x_2] : % 208.85/209.46 ( V_x_2 = V_y_2 % 208.85/209.46 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.46 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ). % 208.85/209.46 % 208.85/209.46 fof(fact_eqset__imp__iff,axiom, % 208.85/209.46 ! [V_x_2,T_b,V_B_2,V_A_2] : % 208.85/209.46 ( V_A_2 = V_B_2 % 208.85/209.46 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.46 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 208.85/209.46 % 208.85/209.46 fof(fact_mem__def,axiom, % 208.85/209.46 ! [V_A_2,V_x_2,T_b] : % 208.85/209.46 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.46 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ). % 208.85/209.46 % 208.85/209.46 fof(fact_equals0D,axiom, % 208.85/209.46 ! [V_a_2,T_b,V_A_2] : % 208.85/209.46 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.46 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ). % 208.85/209.46 % 208.85/209.46 fof(fact_empty__iff,axiom, % 208.85/209.46 ! [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)))) ). % 208.85/209.46 % 208.85/209.46 fof(fact_ex__in__conv,axiom, % 208.85/209.46 ! [V_A_2,T_b] : % 208.85/209.46 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 208.85/209.46 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 208.85/209.46 % 208.85/209.46 fof(fact_all__not__in__conv,axiom, % 208.85/209.46 ! [V_A_2,T_b] : % 208.85/209.46 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 208.85/209.46 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 208.85/209.46 % 208.85/209.46 fof(fact_insert__absorb,axiom, % 208.85/209.46 ! [V_A_2,V_a_2,T_b] : % 208.85/209.46 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 208.85/209.46 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = V_A_2 ) ). % 208.85/209.46 % 208.85/209.46 fof(fact_insertI2,axiom, % 208.85/209.46 ! [V_ba_2,V_B_2,V_a_2,T_b] : % 208.85/209.46 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 208.85/209.46 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),V_B_2))) ) ). % 208.85/209.46 % 208.85/209.46 fof(fact_insert__ident,axiom, % 208.85/209.46 ! [V_B_2,V_A_2,V_x_2,T_b] : % 208.85/209.46 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.46 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 208.85/209.46 => ( 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) % 208.85/209.46 <=> V_A_2 = V_B_2 ) ) ) ). % 208.85/209.46 % 208.85/209.46 fof(fact_insert__iff,axiom, % 208.85/209.46 ! [V_A_2,V_ba_2,V_a_2,T_b] : % 208.85/209.46 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_ba_2),V_A_2))) % 208.85/209.46 <=> ( V_a_2 = V_ba_2 % 208.85/209.46 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 208.85/209.46 % 208.85/209.46 fof(fact_insertI1,axiom, % 208.85/209.46 ! [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))) ). % 208.85/209.46 % 208.85/209.46 fof(fact_com_Osimps_I52_J,axiom, % 208.85/209.46 ! [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) ). % 208.85/209.46 % 208.85/209.46 fof(fact_com_Osimps_I53_J,axiom, % 208.85/209.46 ! [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) ). % 208.85/209.46 % 208.85/209.46 fof(fact_CollectE,axiom, % 208.85/209.46 ! [V_Pa_2,V_a_2,T_b] : % 208.85/209.46 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 208.85/209.46 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ). % 208.85/209.46 % 208.85/209.46 fof(fact_CollectD,axiom, % 208.85/209.46 ! [V_Pa_2,V_a_2,T_b] : % 208.85/209.46 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 208.85/209.46 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ). % 208.85/209.46 % 208.85/209.46 fof(fact_mem__Collect__eq,axiom, % 208.85/209.46 ! [V_Pa_2,V_a_2,T_b] : % 208.85/209.46 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 208.85/209.46 <=> hBOOL(hAPP(V_Pa_2,V_a_2)) ) ). % 208.85/209.46 % 208.85/209.46 fof(fact_Collect__mem__eq,axiom, % 208.85/209.46 ! [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 ). % 208.85/209.46 % 208.85/209.46 fof(fact_com_Osimps_I26_J,axiom, % 208.85/209.46 ! [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) ). % 208.85/209.46 % 208.85/209.46 fof(fact_com_Osimps_I27_J,axiom, % 208.85/209.46 ! [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) ). % 208.85/209.46 % 208.85/209.46 fof(fact_com_Osimps_I44_J,axiom, % 208.85/209.46 ! [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) ). % 208.85/209.46 % 208.85/209.46 fof(fact_com_Osimps_I45_J,axiom, % 208.85/209.46 ! [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) ). % 208.85/209.46 % 208.85/209.46 fof(fact_com_Osimps_I14_J,axiom, % 208.85/209.46 ! [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) ). % 208.85/209.46 % 208.85/209.46 fof(fact_com_Osimps_I15_J,axiom, % 208.85/209.46 ! [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 ). % 208.85/209.46 % 208.85/209.46 fof(fact_singletonE,axiom, % 208.85/209.46 ! [V_a_2,V_ba_2,T_b] : % 208.85/209.46 ( 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))))) % 208.85/209.46 => V_ba_2 = V_a_2 ) ). % 208.85/209.46 % 208.85/209.46 fof(fact_singleton__iff,axiom, % 208.85/209.46 ! [V_a_2,V_ba_2,T_b] : % 208.85/209.46 ( 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))))) % 208.85/209.46 <=> V_ba_2 = V_a_2 ) ). % 208.85/209.46 % 208.85/209.46 fof(fact_insert__compr__raw,axiom, % 208.85/209.46 ! [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))) ). % 208.85/209.46 % 208.85/209.46 fof(fact_bot__empty__eq,axiom, % 208.85/209.46 ! [V_x_2,T_b] : % 208.85/209.46 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) % 208.85/209.46 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 208.85/209.46 % 208.85/209.46 fof(fact_pred__equals__eq,axiom, % 208.85/209.46 ! [V_S_2,V_R_2,T_b] : % 208.85/209.46 ( 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) % 208.85/209.46 <=> V_R_2 = V_S_2 ) ). % 208.85/209.46 % 208.85/209.46 fof(fact_the__inv__into__def,axiom, % 208.85/209.46 ! [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))) ). % 208.85/209.46 % 208.85/209.46 fof(fact_override__on__def,axiom, % 208.85/209.46 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] : % 208.85/209.46 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 208.85/209.46 => 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) ) % 208.85/209.46 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 208.85/209.46 => 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) ) ) ). % 208.85/209.46 % 208.85/209.46 fof(fact_eq__mem,axiom, % 208.85/209.46 ! [V_y_2,V_x_2,T_b] : % 208.85/209.46 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_fequal,V_y_2))) % 208.85/209.46 <=> V_x_2 = V_y_2 ) ). % 208.85/209.46 % 208.85/209.46 fof(fact_override__on__emptyset,axiom, % 208.85/209.46 ! [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 ). % 208.85/209.46 % 208.85/209.46 fof(fact_image__constant,axiom, % 208.85/209.46 ! [V_ca_2,T_c,V_A_2,V_x_2,T_b] : % 208.85/209.46 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.46 => 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))) ) ). % 208.85/209.46 % 208.85/209.46 fof(fact_override__on__apply__notin,axiom, % 208.85/209.46 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] : % 208.85/209.46 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 208.85/209.46 => 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) ) ). % 208.85/209.46 % 208.85/209.46 fof(fact_override__on__apply__in,axiom, % 208.85/209.47 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] : % 208.85/209.47 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 208.85/209.47 => 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) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_vimage__singleton__eq,axiom, % 208.85/209.47 ! [V_ba_2,V_f_2,T_c,V_a_2,T_b] : % 208.85/209.47 ( 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)))))) % 208.85/209.47 <=> hAPP(V_f_2,V_a_2) = V_ba_2 ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_insert__Diff,axiom, % 208.85/209.47 ! [V_A_2,V_a_2,T_b] : % 208.85/209.47 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 208.85/209.47 => 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 ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_Diff__insert__absorb,axiom, % 208.85/209.47 ! [V_A_2,V_x_2,T_b] : % 208.85/209.47 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.47 => 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 ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_image__eqI,axiom, % 208.85/209.47 ! [T_b,V_A_2,T_c,V_x_2,V_f_2,V_ba_2] : % 208.85/209.47 ( V_ba_2 = hAPP(V_f_2,V_x_2) % 208.85/209.47 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 208.85/209.47 => hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_DiffI,axiom, % 208.85/209.47 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 208.85/209.47 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 208.85/209.47 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) % 208.85/209.47 => 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))) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_DiffE,axiom, % 208.85/209.47 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 208.85/209.47 ( 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))) % 208.85/209.47 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 208.85/209.47 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_vimageI,axiom, % 208.85/209.47 ! [T_c,V_B_2,T_b,V_ba_2,V_a_2,V_f_2] : % 208.85/209.47 ( hAPP(V_f_2,V_a_2) = V_ba_2 % 208.85/209.47 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),V_B_2)) % 208.85/209.47 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_vimage__Diff,axiom, % 208.85/209.47 ! [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)) ). % 208.85/209.47 % 208.85/209.47 fof(fact_Diff__idemp,axiom, % 208.85/209.47 ! [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) ). % 208.85/209.47 % 208.85/209.47 fof(fact_vimage__code,axiom, % 208.85/209.47 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] : % 208.85/209.47 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2),V_x_2)) % 208.85/209.47 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_image__image,axiom, % 208.85/209.47 ! [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) ). % 208.85/209.47 % 208.85/209.47 fof(fact_image__ident,axiom, % 208.85/209.47 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ). % 208.85/209.47 % 208.85/209.47 fof(fact_vimage__ident,axiom, % 208.85/209.47 ! [V_Y_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ). % 208.85/209.47 % 208.85/209.47 fof(fact_image__iff,axiom, % 208.85/209.47 ! [V_A_2,V_f_2,T_c,V_z_2,T_b] : % 208.85/209.47 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 208.85/209.47 <=> ? [B_x] : % 208.85/209.47 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 208.85/209.47 & V_z_2 = hAPP(V_f_2,B_x) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_imageI,axiom, % 208.85/209.47 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] : % 208.85/209.47 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.47 => 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))) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_rev__image__eqI,axiom, % 208.85/209.47 ! [T_c,V_f_2,V_ba_2,V_A_2,V_x_2,T_b] : % 208.85/209.47 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.47 => ( V_ba_2 = hAPP(V_f_2,V_x_2) % 208.85/209.47 => hBOOL(hAPP(hAPP(c_member(T_c),V_ba_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_empty__is__image,axiom, % 208.85/209.47 ! [V_A_2,V_f_2,T_c,T_b] : % 208.85/209.47 ( 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) % 208.85/209.47 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_image__empty,axiom, % 208.85/209.47 ! [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)) ). % 208.85/209.47 % 208.85/209.47 fof(fact_image__is__empty,axiom, % 208.85/209.47 ! [V_A_2,V_f_2,T_b,T_c] : % 208.85/209.47 ( 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)) % 208.85/209.47 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_image__insert,axiom, % 208.85/209.47 ! [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)) ). % 208.85/209.47 % 208.85/209.47 fof(fact_image__compose,axiom, % 208.85/209.47 ! [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)) ). % 208.85/209.47 % 208.85/209.47 fof(fact_Diff__iff,axiom, % 208.85/209.47 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 208.85/209.47 ( 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))) % 208.85/209.47 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 208.85/209.47 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_DiffD1,axiom, % 208.85/209.47 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 208.85/209.47 ( 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))) % 208.85/209.47 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_DiffD2,axiom, % 208.85/209.47 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 208.85/209.47 ( 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))) % 208.85/209.47 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_vimage__eq,axiom, % 208.85/209.47 ! [V_B_2,V_f_2,T_c,V_a_2,T_b] : % 208.85/209.47 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2))) % 208.85/209.47 <=> hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_B_2)) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_vimageD,axiom, % 208.85/209.47 ! [V_A_2,V_f_2,T_c,V_a_2,T_b] : % 208.85/209.47 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2))) % 208.85/209.47 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_A_2)) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_vimageI2,axiom, % 208.85/209.47 ! [T_c,V_A_2,V_a_2,V_f_2,T_b] : % 208.85/209.47 ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2)) % 208.85/209.47 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_empty__Diff,axiom, % 208.85/209.47 ! [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)) ). % 208.85/209.47 % 208.85/209.47 fof(fact_Diff__empty,axiom, % 208.85/209.47 ! [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 ). % 208.85/209.47 % 208.85/209.47 fof(fact_Diff__cancel,axiom, % 208.85/209.47 ! [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)) ). % 208.85/209.47 % 208.85/209.47 fof(fact_vimage__empty,axiom, % 208.85/209.47 ! [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)) ). % 208.85/209.47 % 208.85/209.47 fof(fact_vimage__compose,axiom, % 208.85/209.47 ! [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)) ). % 208.85/209.47 % 208.85/209.47 fof(fact_vimage__Collect__eq,axiom, % 208.85/209.47 ! [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)) ). % 208.85/209.47 % 208.85/209.47 fof(fact_insert__image,axiom, % 208.85/209.47 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] : % 208.85/209.47 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.47 => 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) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_insert__Diff1,axiom, % 208.85/209.47 ! [V_A_2,V_B_2,V_x_2,T_b] : % 208.85/209.47 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 208.85/209.47 => 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) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_insert__Diff__if,axiom, % 208.85/209.47 ! [V_A_2,V_B_2,V_x_2,T_b] : % 208.85/209.47 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 208.85/209.47 => 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) ) % 208.85/209.47 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 208.85/209.47 => 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)) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_Diff__insert,axiom, % 208.85/209.47 ! [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)))) ). % 208.85/209.47 % 208.85/209.47 fof(fact_Diff__insert2,axiom, % 208.85/209.47 ! [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) ). % 208.85/209.47 % 208.85/209.47 fof(fact_insert__Diff__single,axiom, % 208.85/209.47 ! [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) ). % 208.85/209.47 % 208.85/209.47 fof(fact_image__constant__conv,axiom, % 208.85/209.47 ! [V_ca_2,T_c,T_b,V_A_2] : % 208.85/209.47 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.47 => 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)) ) % 208.85/209.47 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.47 => 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))) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_set__diff__eq,axiom, % 208.85/209.47 ! [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)))) ). % 208.85/209.47 % 208.85/209.47 fof(fact_vimage__def,axiom, % 208.85/209.47 ! [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)) ). % 208.85/209.47 % 208.85/209.47 fof(fact_fun__diff__def,axiom, % 208.85/209.47 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] : % 208.85/209.47 ( class_Groups_Ominus(T_b) % 208.85/209.47 => 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)) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_minus__apply,axiom, % 208.85/209.47 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] : % 208.85/209.47 ( class_Groups_Ominus(T_b) % 208.85/209.47 => 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)) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_fun__upd__image,axiom, % 208.85/209.47 ! [V_y_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 208.85/209.47 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.47 => 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)))))) ) % 208.85/209.47 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.47 => 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) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_fold__graph_H_Ointros_I2_J,axiom, % 208.85/209.47 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 208.85/209.47 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.47 => ( 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) % 208.85/209.47 => 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)) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_inj__on__insert,axiom, % 208.85/209.47 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] : % 208.85/209.47 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) % 208.85/209.47 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 208.85/209.47 & ~ 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))))))) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_subset__insert__iff,axiom, % 208.85/209.47 ! [V_B_2,V_x_2,V_A_2,T_b] : % 208.85/209.47 ( 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))) % 208.85/209.47 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.47 => 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)) ) % 208.85/209.47 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_diff__single__insert,axiom, % 208.85/209.47 ! [V_B_2,V_x_2,V_A_2,T_b] : % 208.85/209.47 ( 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)) % 208.85/209.47 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.47 => 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))) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_the__inv__into__comp,axiom, % 208.85/209.47 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] : % 208.85/209.47 ( 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)) % 208.85/209.47 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2) % 208.85/209.47 => ( 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)))) % 208.85/209.47 => 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) ) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_imageE,axiom, % 208.85/209.47 ! [V_A_2,V_f_2,T_c,V_ba_2,T_b] : % 208.85/209.47 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 208.85/209.47 => ~ ! [B_x] : % 208.85/209.47 ( V_ba_2 = hAPP(V_f_2,B_x) % 208.85/209.47 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_vimage__const,axiom, % 208.85/209.47 ! [T_c,V_A_2,V_ca_2,T_b] : % 208.85/209.47 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 208.85/209.47 => 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)) ) % 208.85/209.47 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 208.85/209.47 => 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)) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_vimageE,axiom, % 208.85/209.47 ! [V_B_2,V_f_2,T_c,V_a_2,T_b] : % 208.85/209.47 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2))) % 208.85/209.47 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_B_2)) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_order__refl,axiom, % 208.85/209.47 ! [V_x,T_a] : % 208.85/209.47 ( class_Orderings_Opreorder(T_a) % 208.85/209.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_equalityI,axiom, % 208.85/209.47 ! [V_B_2,V_A_2,T_b] : % 208.85/209.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 208.85/209.47 => V_A_2 = V_B_2 ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_top1I,axiom, % 208.85/209.47 ! [V_x_2,T_b] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) ). % 208.85/209.47 % 208.85/209.47 fof(fact_fun__upd__triv,axiom, % 208.85/209.47 ! [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 ). % 208.85/209.47 % 208.85/209.47 fof(fact_subsetD,axiom, % 208.85/209.47 ! [V_ca_2,V_B_2,V_A_2,T_b] : % 208.85/209.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.47 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 208.85/209.47 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_UNIV__I,axiom, % 208.85/209.47 ! [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)))) ). % 208.85/209.47 % 208.85/209.47 fof(fact_empty__subsetI,axiom, % 208.85/209.47 ! [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)) ). % 208.85/209.47 % 208.85/209.47 fof(fact_inj__on__empty,axiom, % 208.85/209.47 ! [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))) ). % 208.85/209.47 % 208.85/209.47 fof(fact_inj__image__subset__iff,axiom, % 208.85/209.47 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 208.85/209.47 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 208.85/209.47 => ( 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))) % 208.85/209.47 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_predicate1D,axiom, % 208.85/209.47 ! [V_x_2,V_Q_2,V_Pa_2,T_b] : % 208.85/209.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Q_2)) % 208.85/209.47 => ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 208.85/209.47 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_rev__predicate1D,axiom, % 208.85/209.47 ! [V_Q_2,T_b,V_x_2,V_Pa_2] : % 208.85/209.47 ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 208.85/209.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Q_2)) % 208.85/209.47 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_linorder__le__cases,axiom, % 208.85/209.47 ! [V_y,V_x,T_a] : % 208.85/209.47 ( class_Orderings_Olinorder(T_a) % 208.85/209.47 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 208.85/209.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_le__funE,axiom, % 208.85/209.47 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] : % 208.85/209.47 ( class_Orderings_Oord(T_c) % 208.85/209.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 208.85/209.47 => 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))) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_equalityE,axiom, % 208.85/209.47 ! [T_b,V_B_2,V_A_2] : % 208.85/209.47 ( V_A_2 = V_B_2 % 208.85/209.47 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.47 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_xt1_I6_J,axiom, % 208.85/209.47 ! [V_z,V_x,V_y,T_a] : % 208.85/209.47 ( class_Orderings_Oorder(T_a) % 208.85/209.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 208.85/209.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y)) % 208.85/209.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_xt1_I5_J,axiom, % 208.85/209.47 ! [V_x,V_y,T_a] : % 208.85/209.47 ( class_Orderings_Oorder(T_a) % 208.85/209.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 208.85/209.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 208.85/209.47 => V_x = V_y ) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_order__trans,axiom, % 208.85/209.47 ! [V_z,V_y,V_x,T_a] : % 208.85/209.47 ( class_Orderings_Opreorder(T_a) % 208.85/209.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 208.85/209.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z)) % 208.85/209.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_order__antisym,axiom, % 208.85/209.47 ! [V_y,V_x,T_a] : % 208.85/209.47 ( class_Orderings_Oorder(T_a) % 208.85/209.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 208.85/209.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 208.85/209.47 => V_x = V_y ) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_xt1_I4_J,axiom, % 208.85/209.47 ! [V_c,V_a,V_b,T_a] : % 208.85/209.47 ( class_Orderings_Oorder(T_a) % 208.85/209.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 208.85/209.47 => ( V_b = V_c % 208.85/209.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_ord__le__eq__trans,axiom, % 208.85/209.47 ! [V_c,V_b,V_a,T_a] : % 208.85/209.47 ( class_Orderings_Oord(T_a) % 208.85/209.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 208.85/209.47 => ( V_b = V_c % 208.85/209.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_subset__trans,axiom, % 208.85/209.47 ! [V_C_2,V_B_2,V_A_2,T_b] : % 208.85/209.47 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 208.85/209.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_xt1_I3_J,axiom, % 208.85/209.47 ! [V_c,V_b,V_a,T_a] : % 208.85/209.47 ( class_Orderings_Oorder(T_a) % 208.85/209.47 => ( V_a = V_b % 208.85/209.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b)) % 208.85/209.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_ord__eq__le__trans,axiom, % 208.85/209.47 ! [V_c,V_b,V_a,T_a] : % 208.85/209.47 ( class_Orderings_Oord(T_a) % 208.85/209.47 => ( V_a = V_b % 208.85/209.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 208.85/209.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_order__antisym__conv,axiom, % 208.85/209.47 ! [V_x_2,V_y_2,T_b] : % 208.85/209.47 ( class_Orderings_Oorder(T_b) % 208.85/209.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) % 208.85/209.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 208.85/209.47 <=> V_x_2 = V_y_2 ) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_le__funD,axiom, % 208.85/209.47 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] : % 208.85/209.47 ( class_Orderings_Oord(T_c) % 208.85/209.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 208.85/209.47 => 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))) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_order__eq__refl,axiom, % 208.85/209.47 ! [V_y,V_x,T_a] : % 208.85/209.47 ( class_Orderings_Opreorder(T_a) % 208.85/209.47 => ( V_x = V_y % 208.85/209.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_equalityD2,axiom, % 208.85/209.47 ! [T_b,V_B_2,V_A_2] : % 208.85/209.47 ( V_A_2 = V_B_2 % 208.85/209.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_equalityD1,axiom, % 208.85/209.47 ! [T_b,V_B_2,V_A_2] : % 208.85/209.47 ( V_A_2 = V_B_2 % 208.85/209.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_order__eq__iff,axiom, % 208.85/209.47 ! [V_y_2,V_x_2,T_b] : % 208.85/209.47 ( class_Orderings_Oorder(T_b) % 208.85/209.47 => ( V_x_2 = V_y_2 % 208.85/209.47 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 208.85/209.47 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_set__eq__subset,axiom, % 208.85/209.47 ! [T_b,V_B_2,V_A_2] : % 208.85/209.47 ( V_A_2 = V_B_2 % 208.85/209.47 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.47 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_linorder__linear,axiom, % 208.85/209.47 ! [V_y,V_x,T_a] : % 208.85/209.47 ( class_Orderings_Olinorder(T_a) % 208.85/209.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 208.85/209.47 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_le__fun__def,axiom, % 208.85/209.47 ! [V_g_2,V_f_2,T_b,T_c] : % 208.85/209.47 ( class_Orderings_Oord(T_c) % 208.85/209.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 208.85/209.47 <=> ! [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))) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_top__apply,axiom, % 208.85/209.47 ! [V_x_2,T_c,T_b] : % 208.85/209.47 ( class_Orderings_Otop(T_b) % 208.85/209.47 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Otop__class_Otop(T_b) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_subset__refl,axiom, % 208.85/209.47 ! [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)) ). % 208.85/209.47 % 208.85/209.47 fof(fact_top__greatest,axiom, % 208.85/209.47 ! [V_x,T_a] : % 208.85/209.47 ( class_Orderings_Otop(T_a) % 208.85/209.47 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_subset__UNIV,axiom, % 208.85/209.47 ! [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)))) ). % 208.85/209.47 % 208.85/209.47 fof(fact_fun__upd__idem,axiom, % 208.85/209.47 ! [T_b,T_c,V_y_2,V_x_2,V_f_2] : % 208.85/209.47 ( hAPP(V_f_2,V_x_2) = V_y_2 % 208.85/209.47 => c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2) = V_f_2 ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_subset__inj__on,axiom, % 208.85/209.47 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 208.85/209.47 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 208.85/209.47 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.47 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_injD,axiom, % 208.85/209.47 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 208.85/209.47 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 208.85/209.47 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 208.85/209.47 => V_x_2 = V_y_2 ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_inj__eq,axiom, % 208.85/209.47 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 208.85/209.47 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 208.85/209.47 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 208.85/209.47 <=> V_x_2 = V_y_2 ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_inj__fun,axiom, % 208.85/209.47 ! [T_d,V_f_2,T_c,T_b] : % 208.85/209.47 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 208.85/209.47 => 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))) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_fun__upd__other,axiom, % 208.85/209.47 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] : % 208.85/209.47 ( V_z_2 != V_x_2 % 208.85/209.47 => 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) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_fun__upd__twist,axiom, % 208.85/209.47 ! [V_d_2,V_ba_2,V_m_2,T_c,T_b,V_ca_2,V_a_2] : % 208.85/209.47 ( V_a_2 != V_ca_2 % 208.85/209.47 => 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) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_fun__upd__apply,axiom, % 208.85/209.47 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] : % 208.85/209.47 ( ( V_z_2 = V_x_2 % 208.85/209.47 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 ) % 208.85/209.47 & ( V_z_2 != V_x_2 % 208.85/209.47 => 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) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_fun__upd__same,axiom, % 208.85/209.47 ! [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 ). % 208.85/209.47 % 208.85/209.47 fof(fact_fun__upd__upd,axiom, % 208.85/209.47 ! [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) ). % 208.85/209.47 % 208.85/209.47 fof(fact_fun__upd__idem__iff,axiom, % 208.85/209.47 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 208.85/209.47 ( c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2) = V_f_2 % 208.85/209.47 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_inj__on__def,axiom, % 208.85/209.47 ! [V_A_2,V_f_2,T_c,T_b] : % 208.85/209.47 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 208.85/209.47 <=> ! [B_x] : % 208.85/209.47 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 208.85/209.47 => ! [B_xa] : % 208.85/209.47 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 208.85/209.47 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa) % 208.85/209.47 => B_x = B_xa ) ) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_inj__image__eq__iff,axiom, % 208.85/209.47 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 208.85/209.47 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 208.85/209.47 => ( 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) % 208.85/209.47 <=> V_A_2 = V_B_2 ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_inj__comp,axiom, % 208.85/209.47 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 208.85/209.47 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 208.85/209.47 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) % 208.85/209.47 => 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))) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_inj__on__id2,axiom, % 208.85/209.47 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_COMBI(T_b),V_A_2) ). % 208.85/209.47 % 208.85/209.47 fof(fact_vimage__subsetI,axiom, % 208.85/209.47 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 208.85/209.47 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 208.85/209.47 => ( 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))) % 208.85/209.47 => 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)) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_the__inv__f__f,axiom, % 208.85/209.47 ! [V_x_2,V_f_2,T_c,T_b] : % 208.85/209.47 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 208.85/209.47 => 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 ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_fun__upd__def,axiom, % 208.85/209.47 ! [V_ba_2,V_f_2,T_c,T_b,V_a_2,V_x_2] : % 208.85/209.47 ( ( V_x_2 = V_a_2 % 208.85/209.47 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_ba_2),V_x_2) = V_ba_2 ) % 208.85/209.47 & ( V_x_2 != V_a_2 % 208.85/209.47 => 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) ) ) ). % 208.85/209.47 % 208.85/209.47 fof(fact_inj__image__mem__iff,axiom, % 208.85/209.47 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] : % 208.85/209.47 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 208.85/209.48 => ( 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))) % 208.85/209.48 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_range__ex1__eq,axiom, % 208.85/209.48 ! [V_ba_2,V_f_2,T_c,T_b] : % 208.85/209.48 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 208.85/209.48 => ( 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))))) % 208.85/209.48 <=> ? [B_x] : % 208.85/209.48 ( V_ba_2 = hAPP(V_f_2,B_x) % 208.85/209.48 & ! [B_y] : % 208.85/209.48 ( V_ba_2 = hAPP(V_f_2,B_y) % 208.85/209.48 => B_y = B_x ) ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_inj__on__image__set__diff,axiom, % 208.85/209.48 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] : % 208.85/209.48 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 208.85/209.48 => 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)) ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_image__set__diff,axiom, % 208.85/209.48 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 208.85/209.48 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 208.85/209.48 => 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)) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_inj__on__contraD,axiom, % 208.85/209.48 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 208.85/209.48 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 208.85/209.48 => ( V_x_2 != V_y_2 % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 208.85/209.48 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_inj__on__iff,axiom, % 208.85/209.48 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 208.85/209.48 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 208.85/209.48 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 208.85/209.48 <=> V_x_2 = V_y_2 ) ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_inj__onD,axiom, % 208.85/209.48 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 208.85/209.48 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 208.85/209.48 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 208.85/209.48 => V_x_2 = V_y_2 ) ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_inj__vimage__image__eq,axiom, % 208.85/209.48 ! [V_A_2,V_f_2,T_c,T_b] : % 208.85/209.48 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 208.85/209.48 => 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 ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_inj__on__fun__updI,axiom, % 208.85/209.48 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_c,T_b] : % 208.85/209.48 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 208.85/209.48 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 208.85/209.48 => 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) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_inj__on__imageI2,axiom, % 208.85/209.48 ! [V_A_2,V_f_2,V_f_H_2,T_d,T_c,T_b] : % 208.85/209.48 ( 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) % 208.85/209.48 => c_Fun_Oinj__on(T_b,T_d,V_f_2,V_A_2) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_inj__on__diff,axiom, % 208.85/209.48 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 208.85/209.48 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 208.85/209.48 => 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)) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_vimage__subsetD,axiom, % 208.85/209.48 ! [V_A_2,V_B_2,V_f_2,T_b,T_c] : % 208.85/209.48 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.48 => ( 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)) % 208.85/209.48 => 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))) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_fold__graph_H_Ointros_I1_J,axiom, % 208.85/209.48 ! [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) ). % 208.85/209.48 % 208.85/209.48 fof(fact_fold__graph_H_Oequations_I1_J,axiom, % 208.85/209.48 ! [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) ). % 208.85/209.48 % 208.85/209.48 fof(fact_inj__singleton,axiom, % 208.85/209.48 ! [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))) ). % 208.85/209.48 % 208.85/209.48 fof(fact_set__mp,axiom, % 208.85/209.48 ! [V_x_2,V_B_2,V_A_2,T_b] : % 208.85/209.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.48 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_set__rev__mp,axiom, % 208.85/209.48 ! [V_B_2,V_A_2,V_x_2,T_b] : % 208.85/209.48 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.48 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_in__mono,axiom, % 208.85/209.48 ! [V_x_2,V_B_2,V_A_2,T_b] : % 208.85/209.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.48 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_iso__tuple__UNIV__I,axiom, % 208.85/209.48 ! [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)))) ). % 208.85/209.48 % 208.85/209.48 fof(fact_bot__least,axiom, % 208.85/209.48 ! [V_x,T_a] : % 208.85/209.48 ( class_Orderings_Obot(T_a) % 208.85/209.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_subset__empty,axiom, % 208.85/209.48 ! [V_A_2,T_b] : % 208.85/209.48 ( 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)))) % 208.85/209.48 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_UNIV__not__empty,axiom, % 208.85/209.48 ! [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)) ). % 208.85/209.48 % 208.85/209.48 fof(fact_insert__mono,axiom, % 208.85/209.48 ! [V_a_2,V_D_2,V_C_2,T_b] : % 208.85/209.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2)) % 208.85/209.48 => 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))) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_subset__insertI2,axiom, % 208.85/209.48 ! [V_ba_2,V_B_2,V_A_2,T_b] : % 208.85/209.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.48 => 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))) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_subset__insertI,axiom, % 208.85/209.48 ! [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))) ). % 208.85/209.48 % 208.85/209.48 fof(fact_image__mono,axiom, % 208.85/209.48 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] : % 208.85/209.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.48 => 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))) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_subset__image__iff,axiom, % 208.85/209.48 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] : % 208.85/209.48 ( 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))) % 208.85/209.48 <=> ? [B_AA] : % 208.85/209.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_AA),V_A_2)) % 208.85/209.48 & V_B_2 = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),B_AA) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_double__diff,axiom, % 208.85/209.48 ! [V_C_2,V_B_2,V_A_2,T_b] : % 208.85/209.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 208.85/209.48 => 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 ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_Diff__mono,axiom, % 208.85/209.48 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_b] : % 208.85/209.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_D_2),V_B_2)) % 208.85/209.48 => 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))) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_Diff__subset,axiom, % 208.85/209.48 ! [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)) ). % 208.85/209.48 % 208.85/209.48 fof(fact_vimage__mono,axiom, % 208.85/209.48 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] : % 208.85/209.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.48 => 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))) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_vimage__UNIV,axiom, % 208.85/209.48 ! [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)) ). % 208.85/209.48 % 208.85/209.48 fof(fact_weaken,axiom, % 208.85/209.48 ! [V_ts_2,V_ts_H_2,V_Ga_2,T_b] : % 208.85/209.48 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_H_2) % 208.85/209.48 => ( 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)) % 208.85/209.48 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_asm,axiom, % 208.85/209.48 ! [V_Ga_2,V_ts_2,T_b] : % 208.85/209.48 ( 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)) % 208.85/209.48 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_inj__vimage__singleton,axiom, % 208.85/209.48 ! [V_a_2,V_f_2,T_c,T_b] : % 208.85/209.48 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 208.85/209.48 => 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))))) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_pred__subset__eq,axiom, % 208.85/209.48 ! [V_S_2,V_R_2,T_b] : % 208.85/209.48 ( 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))) % 208.85/209.48 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2)) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_the__inv__into__into,axiom, % 208.85/209.48 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 208.85/209.48 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.48 => 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)) ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_UNIV__def,axiom, % 208.85/209.48 ! [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)) ). % 208.85/209.48 % 208.85/209.48 fof(fact_range__composition,axiom, % 208.85/209.48 ! [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)))) ). % 208.85/209.48 % 208.85/209.48 fof(fact_fun__upd__comp,axiom, % 208.85/209.48 ! [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)) ). % 208.85/209.48 % 208.85/209.48 fof(fact_inj__on__imageI,axiom, % 208.85/209.48 ! [V_A_2,V_f_2,V_g_2,T_d,T_c,T_b] : % 208.85/209.48 ( 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) % 208.85/209.48 => 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)) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_comp__inj__on,axiom, % 208.85/209.48 ! [V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 208.85/209.48 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 208.85/209.48 => ( 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)) % 208.85/209.48 => 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) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_comp__inj__on__iff,axiom, % 208.85/209.48 ! [V_f_H_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 208.85/209.48 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 208.85/209.48 => ( 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)) % 208.85/209.48 <=> 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) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_insert__subset,axiom, % 208.85/209.48 ! [V_B_2,V_A_2,V_x_2,T_b] : % 208.85/209.48 ( 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)) % 208.85/209.48 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 208.85/209.48 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_subset__insert,axiom, % 208.85/209.48 ! [V_B_2,V_A_2,V_x_2,T_b] : % 208.85/209.48 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.48 => ( 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))) % 208.85/209.48 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_the__inv__into__f__f,axiom, % 208.85/209.48 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] : % 208.85/209.48 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.48 => 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 ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_the__inv__into__f__eq,axiom, % 208.85/209.48 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 208.85/209.48 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 208.85/209.48 => ( hAPP(V_f_2,V_x_2) = V_y_2 % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.48 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_range__eqI,axiom, % 208.85/209.48 ! [T_c,T_b,V_x_2,V_f_2,V_ba_2] : % 208.85/209.48 ( V_ba_2 = hAPP(V_f_2,V_x_2) % 208.85/209.48 => 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))))) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_rangeI,axiom, % 208.85/209.48 ! [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))))) ). % 208.85/209.48 % 208.85/209.48 fof(fact_subset__singletonD,axiom, % 208.85/209.48 ! [V_x_2,V_A_2,T_b] : % 208.85/209.48 ( 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))))) % 208.85/209.48 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.48 | 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))) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_the__inv__into__onto,axiom, % 208.85/209.48 ! [V_A_2,V_f_2,T_c,T_b] : % 208.85/209.48 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 208.85/209.48 => 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 ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_inj__on__the__inv__into,axiom, % 208.85/209.48 ! [V_A_2,V_f_2,T_c,T_b] : % 208.85/209.48 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 208.85/209.48 => 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)) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_Diff__UNIV,axiom, % 208.85/209.48 ! [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)) ). % 208.85/209.48 % 208.85/209.48 fof(fact_comp__surj,axiom, % 208.85/209.48 ! [V_g_2,T_d,V_f_2,T_b,T_c] : % 208.85/209.48 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.48 => ( 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)) % 208.85/209.48 => 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)) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_image__diff__subset,axiom, % 208.85/209.48 ! [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)))) ). % 208.85/209.48 % 208.85/209.48 fof(fact_image__vimage__subset,axiom, % 208.85/209.48 ! [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)) ). % 208.85/209.48 % 208.85/209.48 fof(fact_surj__image__vimage__eq,axiom, % 208.85/209.48 ! [V_A_2,V_f_2,T_b,T_c] : % 208.85/209.48 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.48 => 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 ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_f__the__inv__into__f,axiom, % 208.85/209.48 ! [V_y_2,V_A_2,V_f_2,T_c,T_b] : % 208.85/209.48 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 208.85/209.48 => 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 ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_inj__on__iff__surj,axiom, % 208.85/209.48 ! [V_A_H_2,T_c,T_b,V_A_2] : % 208.85/209.48 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.48 => ( ? [B_f] : % 208.85/209.48 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2) % 208.85/209.48 & 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)) ) % 208.85/209.48 <=> ? [B_g] : hAPP(c_Set_Oimage(T_c,T_b,B_g),V_A_H_2) = V_A_2 ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_flat__lub__def,axiom, % 208.85/209.48 ! [V_ba_2,V_A_2,T_b] : % 208.85/209.48 ( ( 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))))) % 208.85/209.48 => c_Partial__Function_Oflat__lub(T_b,V_ba_2,V_A_2) = V_ba_2 ) % 208.85/209.48 & ( ~ 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))))) % 208.85/209.48 => 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)))))) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_fold__graph_H_Oequations_I2_J,axiom, % 208.85/209.48 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_c,T_b] : % 208.85/209.48 ( 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)) % 208.85/209.48 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.48 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 ) % 208.85/209.48 | ? [B_x,B_y] : % 208.85/209.48 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y) % 208.85/209.48 & hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a2_2)) % 208.85/209.48 & 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) ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_diff__eq__diff__less__eq,axiom, % 208.85/209.48 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] : % 208.85/209.48 ( class_Groups_Oordered__ab__group__add(T_b) % 208.85/209.48 => ( 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) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_ba_2)) % 208.85/209.48 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),V_d_2)) ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_psubset__insert__iff,axiom, % 208.85/209.48 ! [V_B_2,V_x_2,V_A_2,T_b] : % 208.85/209.48 ( 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))) % 208.85/209.48 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 208.85/209.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) % 208.85/209.48 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 208.85/209.48 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.48 => 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)) ) % 208.85/209.48 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_vimage__if,axiom, % 208.85/209.48 ! [V_B_2,T_c,V_d_2,V_A_2,V_ca_2,T_b] : % 208.85/209.48 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 208.85/209.48 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 208.85/209.48 => 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)) ) % 208.85/209.48 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 208.85/209.48 => 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 ) ) ) % 208.85/209.48 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 208.85/209.48 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 208.85/209.48 => 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) ) % 208.85/209.48 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 208.85/209.48 => 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)) ) ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_rangeE,axiom, % 208.85/209.48 ! [V_f_2,T_c,V_ba_2,T_b] : % 208.85/209.48 ( 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))))) % 208.85/209.48 => ~ ! [B_x] : V_ba_2 != hAPP(V_f_2,B_x) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_vimage__subset__eq,axiom, % 208.85/209.48 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 208.85/209.48 ( 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))) % 208.85/209.48 => ( 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)) % 208.85/209.48 <=> 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))) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_inj__image__Compl__subset,axiom, % 208.85/209.48 ! [V_A_2,V_f_2,T_c,T_b] : % 208.85/209.48 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 208.85/209.48 => 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)))) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_image__subsetI,axiom, % 208.85/209.48 ! [V_B_2,V_f_2,T_c,V_A_2,T_b] : % 208.85/209.48 ( ! [B_x] : % 208.85/209.48 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 208.85/209.48 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,B_x)),V_B_2)) ) % 208.85/209.48 => 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)) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_quotient__diff1,axiom, % 208.85/209.48 ! [V_a_2,V_A_2,V_r_2,T_b] : % 208.85/209.48 ( 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) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 208.85/209.48 => 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)) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_inj__uminus,axiom, % 208.85/209.48 ! [V_A_2,T_b] : % 208.85/209.48 ( class_Groups_Oordered__ab__group__add(T_b) % 208.85/209.48 => c_Fun_Oinj__on(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b),V_A_2) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_ComplI,axiom, % 208.85/209.48 ! [V_A_2,V_ca_2,T_b] : % 208.85/209.48 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 208.85/209.48 => 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))) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_fun__Compl__def,axiom, % 208.85/209.48 ! [V_x_2,V_A_2,T_c,T_b] : % 208.85/209.48 ( class_Groups_Ouminus(T_b) % 208.85/209.48 => 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)) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_double__compl,axiom, % 208.85/209.48 ! [V_x,T_a] : % 208.85/209.48 ( class_Lattices_Oboolean__algebra(T_a) % 208.85/209.48 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_uminus__apply,axiom, % 208.85/209.48 ! [V_x_2,V_A_2,T_c,T_b] : % 208.85/209.48 ( class_Groups_Ouminus(T_b) % 208.85/209.48 => 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)) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_compl__eq__compl__iff,axiom, % 208.85/209.48 ! [V_y_2,V_x_2,T_b] : % 208.85/209.48 ( class_Lattices_Oboolean__algebra(T_b) % 208.85/209.48 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2) % 208.85/209.48 <=> V_x_2 = V_y_2 ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_order__less__irrefl,axiom, % 208.85/209.48 ! [V_x,T_a] : % 208.85/209.48 ( class_Orderings_Opreorder(T_a) % 208.85/209.48 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_double__complement,axiom, % 208.85/209.48 ! [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 ). % 208.85/209.48 % 208.85/209.48 fof(fact_linorder__neq__iff,axiom, % 208.85/209.48 ! [V_y_2,V_x_2,T_b] : % 208.85/209.48 ( class_Orderings_Olinorder(T_b) % 208.85/209.48 => ( V_x_2 != V_y_2 % 208.85/209.48 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 208.85/209.48 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_not__less__iff__gr__or__eq,axiom, % 208.85/209.48 ! [V_y_2,V_x_2,T_b] : % 208.85/209.48 ( class_Orderings_Olinorder(T_b) % 208.85/209.48 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 208.85/209.48 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) % 208.85/209.48 | V_x_2 = V_y_2 ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_linorder__less__linear,axiom, % 208.85/209.48 ! [V_y,V_x,T_a] : % 208.85/209.48 ( class_Orderings_Olinorder(T_a) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 208.85/209.48 | V_x = V_y % 208.85/209.48 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_Compl__eq__Compl__iff,axiom, % 208.85/209.48 ! [V_B_2,V_A_2,T_b] : % 208.85/209.48 ( 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) % 208.85/209.48 <=> V_A_2 = V_B_2 ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_linorder__antisym__conv3,axiom, % 208.85/209.48 ! [V_x_2,V_y_2,T_b] : % 208.85/209.48 ( class_Orderings_Olinorder(T_b) % 208.85/209.48 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) % 208.85/209.48 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 208.85/209.48 <=> V_x_2 = V_y_2 ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_linorder__neqE,axiom, % 208.85/209.48 ! [V_y,V_x,T_a] : % 208.85/209.48 ( class_Orderings_Olinorder(T_a) % 208.85/209.48 => ( V_x != V_y % 208.85/209.48 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 208.85/209.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_less__imp__neq,axiom, % 208.85/209.48 ! [V_y,V_x,T_a] : % 208.85/209.48 ( class_Orderings_Oorder(T_a) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 208.85/209.48 => V_x != V_y ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_order__less__not__sym,axiom, % 208.85/209.48 ! [V_y,V_x,T_a] : % 208.85/209.48 ( class_Orderings_Opreorder(T_a) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 208.85/209.48 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_order__less__imp__not__less,axiom, % 208.85/209.48 ! [V_y,V_x,T_a] : % 208.85/209.48 ( class_Orderings_Opreorder(T_a) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 208.85/209.48 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_order__less__imp__not__eq,axiom, % 208.85/209.48 ! [V_y,V_x,T_a] : % 208.85/209.48 ( class_Orderings_Oorder(T_a) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 208.85/209.48 => V_x != V_y ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_order__less__imp__not__eq2,axiom, % 208.85/209.48 ! [V_y,V_x,T_a] : % 208.85/209.48 ( class_Orderings_Oorder(T_a) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 208.85/209.48 => V_y != V_x ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_order__less__asym_H,axiom, % 208.85/209.48 ! [V_b,V_a,T_a] : % 208.85/209.48 ( class_Orderings_Opreorder(T_a) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 208.85/209.48 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_xt1_I9_J,axiom, % 208.85/209.48 ! [V_a,V_b,T_a] : % 208.85/209.48 ( class_Orderings_Oorder(T_a) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 208.85/209.48 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_ord__eq__less__trans,axiom, % 208.85/209.48 ! [V_c,V_b,V_a,T_a] : % 208.85/209.48 ( class_Orderings_Oord(T_a) % 208.85/209.48 => ( V_a = V_b % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 208.85/209.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_xt1_I1_J,axiom, % 208.85/209.48 ! [V_c,V_b,V_a,T_a] : % 208.85/209.48 ( class_Orderings_Oorder(T_a) % 208.85/209.48 => ( V_a = V_b % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b)) % 208.85/209.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_psubset__trans,axiom, % 208.85/209.48 ! [V_C_2,V_B_2,V_A_2,T_b] : % 208.85/209.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 208.85/209.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_ord__less__eq__trans,axiom, % 208.85/209.48 ! [V_c,V_b,V_a,T_a] : % 208.85/209.48 ( class_Orderings_Oord(T_a) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 208.85/209.48 => ( V_b = V_c % 208.85/209.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_xt1_I2_J,axiom, % 208.85/209.48 ! [V_c,V_a,V_b,T_a] : % 208.85/209.48 ( class_Orderings_Oorder(T_a) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 208.85/209.48 => ( V_b = V_c % 208.85/209.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_order__less__trans,axiom, % 208.85/209.48 ! [V_z,V_y,V_x,T_a] : % 208.85/209.48 ( class_Orderings_Opreorder(T_a) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z)) % 208.85/209.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_xt1_I10_J,axiom, % 208.85/209.48 ! [V_z,V_x,V_y,T_a] : % 208.85/209.48 ( class_Orderings_Oorder(T_a) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y)) % 208.85/209.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_order__less__asym,axiom, % 208.85/209.48 ! [V_y,V_x,T_a] : % 208.85/209.48 ( class_Orderings_Opreorder(T_a) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 208.85/209.48 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_linorder__cases,axiom, % 208.85/209.48 ! [V_y,V_x,T_a] : % 208.85/209.48 ( class_Orderings_Olinorder(T_a) % 208.85/209.48 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 208.85/209.48 => ( V_x != V_y % 208.85/209.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_neg__less__iff__less,axiom, % 208.85/209.48 ! [V_a_2,V_ba_2,T_b] : % 208.85/209.48 ( class_Groups_Oordered__ab__group__add(T_b) % 208.85/209.48 => ( 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))) % 208.85/209.48 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2)) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_neg__equal__iff__equal,axiom, % 208.85/209.48 ! [V_ba_2,V_a_2,T_b] : % 208.85/209.48 ( class_Groups_Ogroup__add(T_b) % 208.85/209.48 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_ba_2) % 208.85/209.48 <=> V_a_2 = V_ba_2 ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_minus__less__iff,axiom, % 208.85/209.48 ! [V_ba_2,V_a_2,T_b] : % 208.85/209.48 ( class_Groups_Oordered__ab__group__add(T_b) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_ba_2)) % 208.85/209.48 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_ba_2)),V_a_2)) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_minus__equation__iff,axiom, % 208.85/209.48 ! [V_ba_2,V_a_2,T_b] : % 208.85/209.48 ( class_Groups_Ogroup__add(T_b) % 208.85/209.48 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_ba_2 % 208.85/209.48 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_ba_2) = V_a_2 ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_less__minus__iff,axiom, % 208.85/209.48 ! [V_ba_2,V_a_2,T_b] : % 208.85/209.48 ( class_Groups_Oordered__ab__group__add(T_b) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_ba_2))) % 208.85/209.48 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_equation__minus__iff,axiom, % 208.85/209.48 ! [V_ba_2,V_a_2,T_b] : % 208.85/209.48 ( class_Groups_Ogroup__add(T_b) % 208.85/209.48 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_ba_2) % 208.85/209.48 <=> V_ba_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_minus__minus,axiom, % 208.85/209.48 ! [V_a,T_a] : % 208.85/209.48 ( class_Groups_Ogroup__add(T_a) % 208.85/209.48 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_le__imp__neg__le,axiom, % 208.85/209.48 ! [V_b,V_a,T_a] : % 208.85/209.48 ( class_Groups_Oordered__ab__group__add(T_a) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 208.85/209.48 => 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))) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_neg__le__iff__le,axiom, % 208.85/209.48 ! [V_a_2,V_ba_2,T_b] : % 208.85/209.48 ( class_Groups_Oordered__ab__group__add(T_b) % 208.85/209.48 => ( 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))) % 208.85/209.48 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_ba_2)) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_minus__le__iff,axiom, % 208.85/209.48 ! [V_ba_2,V_a_2,T_b] : % 208.85/209.48 ( class_Groups_Oordered__ab__group__add(T_b) % 208.85/209.48 => ( 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)) % 208.85/209.48 <=> 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)) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_le__minus__iff,axiom, % 208.85/209.48 ! [V_ba_2,V_a_2,T_b] : % 208.85/209.48 ( class_Groups_Oordered__ab__group__add(T_b) % 208.85/209.48 => ( 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))) % 208.85/209.48 <=> 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))) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_minus__diff__eq,axiom, % 208.85/209.48 ! [V_b,V_a,T_a] : % 208.85/209.48 ( class_Groups_Oab__group__add(T_a) % 208.85/209.48 => 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) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_diff__eq__diff__less,axiom, % 208.85/209.48 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] : % 208.85/209.48 ( class_Groups_Oordered__ab__group__add(T_b) % 208.85/209.48 => ( 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) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2)) % 208.85/209.48 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),V_d_2)) ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_quotient__empty,axiom, % 208.85/209.48 ! [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)) ). % 208.85/209.48 % 208.85/209.48 fof(fact_quotient__is__empty2,axiom, % 208.85/209.48 ! [V_r_2,V_A_2,T_b] : % 208.85/209.48 ( 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) % 208.85/209.48 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_quotient__is__empty,axiom, % 208.85/209.48 ! [V_r_2,V_A_2,T_b] : % 208.85/209.48 ( 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)) % 208.85/209.48 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_bij__image__Compl__eq,axiom, % 208.85/209.48 ! [V_A_2,V_f_2,T_c,T_b] : % 208.85/209.48 ( 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))) % 208.85/209.48 => 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)) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_compl__mono,axiom, % 208.85/209.48 ! [V_y,V_x,T_a] : % 208.85/209.48 ( class_Lattices_Oboolean__algebra(T_a) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 208.85/209.48 => 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))) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_compl__le__compl__iff,axiom, % 208.85/209.48 ! [V_y_2,V_x_2,T_b] : % 208.85/209.48 ( class_Lattices_Oboolean__algebra(T_b) % 208.85/209.48 => ( 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))) % 208.85/209.48 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_Compl__iff,axiom, % 208.85/209.48 ! [V_A_2,V_ca_2,T_b] : % 208.85/209.48 ( 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))) % 208.85/209.48 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_ComplD,axiom, % 208.85/209.48 ! [V_A_2,V_ca_2,T_b] : % 208.85/209.48 ( 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))) % 208.85/209.48 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_ComplE,axiom, % 208.85/209.48 ! [V_A_2,V_ca_2,T_b] : % 208.85/209.48 ( 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))) % 208.85/209.48 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_bij__betw__empty1,axiom, % 208.85/209.48 ! [V_A_2,V_f_2,T_c,T_b] : % 208.85/209.48 ( 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) % 208.85/209.48 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_bij__betw__empty2,axiom, % 208.85/209.48 ! [V_A_2,V_f_2,T_c,T_b] : % 208.85/209.48 ( 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))) % 208.85/209.48 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_less__fun__def,axiom, % 208.85/209.48 ! [V_g_2,V_f_2,T_b,T_c] : % 208.85/209.48 ( class_Orderings_Oord(T_c) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 208.85/209.48 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 208.85/209.48 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_g_2),V_f_2)) ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_Compl__subset__Compl__iff,axiom, % 208.85/209.48 ! [V_B_2,V_A_2,T_b] : % 208.85/209.48 ( 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))) % 208.85/209.48 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_Compl__anti__mono,axiom, % 208.85/209.48 ! [V_B_2,V_A_2,T_b] : % 208.85/209.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.48 => 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))) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_linorder__not__less,axiom, % 208.85/209.48 ! [V_y_2,V_x_2,T_b] : % 208.85/209.48 ( class_Orderings_Olinorder(T_b) % 208.85/209.48 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 208.85/209.48 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_linorder__not__le,axiom, % 208.85/209.48 ! [V_y_2,V_x_2,T_b] : % 208.85/209.48 ( class_Orderings_Olinorder(T_b) % 208.85/209.48 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 208.85/209.48 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_linorder__le__less__linear,axiom, % 208.85/209.48 ! [V_y,V_x,T_a] : % 208.85/209.48 ( class_Orderings_Olinorder(T_a) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 208.85/209.48 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_order__less__le,axiom, % 208.85/209.48 ! [V_y_2,V_x_2,T_b] : % 208.85/209.48 ( class_Orderings_Oorder(T_b) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 208.85/209.48 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 208.85/209.48 & V_x_2 != V_y_2 ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_less__le__not__le,axiom, % 208.85/209.48 ! [V_y_2,V_x_2,T_b] : % 208.85/209.48 ( class_Orderings_Opreorder(T_b) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 208.85/209.48 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 208.85/209.48 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_order__le__less,axiom, % 208.85/209.48 ! [V_y_2,V_x_2,T_b] : % 208.85/209.48 ( class_Orderings_Oorder(T_b) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 208.85/209.48 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 208.85/209.48 | V_x_2 = V_y_2 ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_leI,axiom, % 208.85/209.48 ! [V_y,V_x,T_a] : % 208.85/209.48 ( class_Orderings_Olinorder(T_a) % 208.85/209.48 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 208.85/209.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_not__leE,axiom, % 208.85/209.48 ! [V_x,V_y,T_a] : % 208.85/209.48 ( class_Orderings_Olinorder(T_a) % 208.85/209.48 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 208.85/209.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_linorder__antisym__conv1,axiom, % 208.85/209.48 ! [V_y_2,V_x_2,T_b] : % 208.85/209.48 ( class_Orderings_Olinorder(T_b) % 208.85/209.48 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 208.85/209.48 <=> V_x_2 = V_y_2 ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_order__neq__le__trans,axiom, % 208.85/209.48 ! [V_b,V_a,T_a] : % 208.85/209.48 ( class_Orderings_Oorder(T_a) % 208.85/209.48 => ( V_a != V_b % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 208.85/209.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_xt1_I12_J,axiom, % 208.85/209.48 ! [V_b,V_a,T_a] : % 208.85/209.48 ( class_Orderings_Oorder(T_a) % 208.85/209.48 => ( V_a != V_b % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 208.85/209.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_leD,axiom, % 208.85/209.48 ! [V_x,V_y,T_a] : % 208.85/209.48 ( class_Orderings_Olinorder(T_a) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 208.85/209.48 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_order__less__imp__le,axiom, % 208.85/209.48 ! [V_y,V_x,T_a] : % 208.85/209.48 ( class_Orderings_Opreorder(T_a) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 208.85/209.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_linorder__antisym__conv2,axiom, % 208.85/209.48 ! [V_y_2,V_x_2,T_b] : % 208.85/209.48 ( class_Orderings_Olinorder(T_b) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 208.85/209.48 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 208.85/209.48 <=> V_x_2 = V_y_2 ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_order__le__imp__less__or__eq,axiom, % 208.85/209.48 ! [V_y,V_x,T_a] : % 208.85/209.48 ( class_Orderings_Oorder(T_a) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 208.85/209.48 | V_x = V_y ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_order__le__neq__trans,axiom, % 208.85/209.48 ! [V_b,V_a,T_a] : % 208.85/209.48 ( class_Orderings_Oorder(T_a) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 208.85/209.48 => ( V_a != V_b % 208.85/209.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_xt1_I11_J,axiom, % 208.85/209.48 ! [V_a,V_b,T_a] : % 208.85/209.48 ( class_Orderings_Oorder(T_a) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 208.85/209.48 => ( V_a != V_b % 208.85/209.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_order__less__le__trans,axiom, % 208.85/209.48 ! [V_z,V_y,V_x,T_a] : % 208.85/209.48 ( class_Orderings_Opreorder(T_a) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z)) % 208.85/209.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_xt1_I7_J,axiom, % 208.85/209.48 ! [V_z,V_x,V_y,T_a] : % 208.85/209.48 ( class_Orderings_Oorder(T_a) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y)) % 208.85/209.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_order__le__less__trans,axiom, % 208.85/209.48 ! [V_z,V_y,V_x,T_a] : % 208.85/209.48 ( class_Orderings_Opreorder(T_a) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z)) % 208.85/209.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_xt1_I8_J,axiom, % 208.85/209.48 ! [V_z,V_x,V_y,T_a] : % 208.85/209.48 ( class_Orderings_Oorder(T_a) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y)) % 208.85/209.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_psubsetD,axiom, % 208.85/209.48 ! [V_ca_2,V_B_2,V_A_2,T_b] : % 208.85/209.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 208.85/209.48 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_bij__betw__trans,axiom, % 208.85/209.48 ! [V_C_2,V_g_2,T_d,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 208.85/209.48 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 208.85/209.48 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,V_B_2,V_C_2) % 208.85/209.48 => 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) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_bij__betw__comp__iff,axiom, % 208.85/209.48 ! [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] : % 208.85/209.48 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2) % 208.85/209.48 => ( c_Fun_Obij__betw(T_c,T_d,V_f_H_2,V_A_H_2,V_A_H_H_2) % 208.85/209.48 <=> 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) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_bij__betw__imp__inj__on,axiom, % 208.85/209.48 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 208.85/209.48 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 208.85/209.48 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_not__psubset__empty,axiom, % 208.85/209.48 ! [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)))) ). % 208.85/209.48 % 208.85/209.48 fof(fact_psubset__eq,axiom, % 208.85/209.48 ! [V_B_2,V_A_2,T_b] : % 208.85/209.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.48 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.48 & V_A_2 != V_B_2 ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_subset__iff__psubset__eq,axiom, % 208.85/209.48 ! [V_B_2,V_A_2,T_b] : % 208.85/209.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.48 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.48 | V_A_2 = V_B_2 ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_psubset__imp__subset,axiom, % 208.85/209.48 ! [V_B_2,V_A_2,T_b] : % 208.85/209.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_psubset__subset__trans,axiom, % 208.85/209.48 ! [V_C_2,V_B_2,V_A_2,T_b] : % 208.85/209.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 208.85/209.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_subset__psubset__trans,axiom, % 208.85/209.48 ! [V_C_2,V_B_2,V_A_2,T_b] : % 208.85/209.48 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 208.85/209.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_vimage__Compl,axiom, % 208.85/209.48 ! [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)) ). % 208.85/209.48 % 208.85/209.48 fof(fact_bij__betw__the__inv__into,axiom, % 208.85/209.48 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 208.85/209.48 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 208.85/209.48 => 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) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_Collect__neg__eq,axiom, % 208.85/209.48 ! [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)) ). % 208.85/209.48 % 208.85/209.48 fof(fact_compl__bot__eq,axiom, % 208.85/209.48 ! [T_a] : % 208.85/209.48 ( class_Lattices_Oboolean__algebra(T_a) % 208.85/209.48 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_compl__top__eq,axiom, % 208.85/209.48 ! [T_a] : % 208.85/209.48 ( class_Lattices_Oboolean__algebra(T_a) % 208.85/209.48 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_subset__Compl__self__eq,axiom, % 208.85/209.48 ! [V_A_2,T_b] : % 208.85/209.48 ( 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))) % 208.85/209.48 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_Compl__UNIV__eq,axiom, % 208.85/209.48 ! [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)) ). % 208.85/209.48 % 208.85/209.48 fof(fact_Compl__empty__eq,axiom, % 208.85/209.48 ! [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)) ). % 208.85/209.48 % 208.85/209.48 fof(fact_bij__betw__subset,axiom, % 208.85/209.48 ! [V_B_H_2,V_B_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] : % 208.85/209.48 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2) % 208.85/209.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 208.85/209.48 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2) = V_B_H_2 % 208.85/209.48 => c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2) ) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_bij__is__surj,axiom, % 208.85/209.48 ! [V_f_2,T_c,T_b] : % 208.85/209.48 ( 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))) % 208.85/209.48 => 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)) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_bij__betw__imp__surj,axiom, % 208.85/209.48 ! [V_A_2,V_f_2,T_c,T_b] : % 208.85/209.48 ( 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))) % 208.85/209.48 => 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)) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_bij__comp,axiom, % 208.85/209.48 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 208.85/209.48 ( 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))) % 208.85/209.48 => ( 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))) % 208.85/209.48 => 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))) ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_Compl__eq__Diff__UNIV,axiom, % 208.85/209.48 ! [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) ). % 208.85/209.48 % 208.85/209.48 fof(fact_bij__is__inj,axiom, % 208.85/209.48 ! [V_f_2,T_c,T_b] : % 208.85/209.48 ( 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))) % 208.85/209.48 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_bij__betw__def,axiom, % 208.85/209.48 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 208.85/209.48 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 208.85/209.48 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 208.85/209.48 & hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = V_B_2 ) ) ). % 208.85/209.48 % 208.85/209.48 fof(fact_inj__on__imp__bij__betw,axiom, % 208.85/209.49 ! [V_A_2,V_f_2,T_c,T_b] : % 208.85/209.49 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 208.85/209.49 => 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)) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inj__on__strict__subset,axiom, % 208.85/209.49 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 208.85/209.49 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.49 => 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))) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_Compl__eq,axiom, % 208.85/209.49 ! [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))) ). % 208.85/209.49 % 208.85/209.49 fof(fact_surj__Compl__image__subset,axiom, % 208.85/209.49 ! [V_A_2,V_f_2,T_b,T_c] : % 208.85/209.49 ( 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)) % 208.85/209.49 => 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)))) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_bij__betw__comp__iff2,axiom, % 208.85/209.49 ! [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] : % 208.85/209.49 ( c_Fun_Obij__betw(T_b,T_c,V_f_H_2,V_A_H_2,V_A_H_H_2) % 208.85/209.49 => ( 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)) % 208.85/209.49 => ( c_Fun_Obij__betw(T_d,T_b,V_f_2,V_A_2,V_A_H_2) % 208.85/209.49 <=> 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) ) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_bijI,axiom, % 208.85/209.49 ! [V_f_2,T_c,T_b] : % 208.85/209.49 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 208.85/209.49 => ( 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)) % 208.85/209.49 => 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))) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_bij__def,axiom, % 208.85/209.49 ! [V_f_2,T_c,T_b] : % 208.85/209.49 ( 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))) % 208.85/209.49 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 208.85/209.49 & 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)) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_diff__eq__diff__eq,axiom, % 208.85/209.49 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] : % 208.85/209.49 ( class_Groups_Oab__group__add(T_b) % 208.85/209.49 => ( 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) % 208.85/209.49 => ( V_a_2 = V_ba_2 % 208.85/209.49 <=> V_ca_2 = V_d_2 ) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_Cantor__Bernstein,axiom, % 208.85/209.49 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 208.85/209.49 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 208.85/209.49 => ( 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)) % 208.85/209.49 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2) % 208.85/209.49 => ( 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)) % 208.85/209.49 => ? [B_h] : c_Fun_Obij__betw(T_b,T_c,B_h,V_A_2,V_B_2) ) ) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_bij__image__Collect__eq,axiom, % 208.85/209.49 ! [V_Pa_2,V_f_2,T_c,T_b] : % 208.85/209.49 ( 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))) % 208.85/209.49 => 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))) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_bij__vimage__eq__inv__image,axiom, % 208.85/209.49 ! [V_A_2,V_f_2,T_c,T_b] : % 208.85/209.49 ( 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))) % 208.85/209.49 => 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) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inv__into__comp,axiom, % 208.85/209.49 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] : % 208.85/209.49 ( 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)) % 208.85/209.49 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2) % 208.85/209.49 => ( 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)))) % 208.85/209.49 => 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) ) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_quotientI,axiom, % 208.85/209.49 ! [V_r_2,V_A_2,V_x_2,T_b] : % 208.85/209.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.49 => 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))) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_mk__less__def,axiom, % 208.85/209.49 ! [V_y_2,V_x_2,V_R_2,T_b] : % 208.85/209.49 ( c_Partial__Function_Omk__less(T_b,V_R_2,V_x_2,V_y_2) % 208.85/209.49 <=> ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 208.85/209.49 & ~ hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_psubset__imp__ex__mem,axiom, % 208.85/209.49 ! [V_B_2,V_A_2,T_b] : % 208.85/209.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.49 => ? [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))) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_o__inv__distrib,axiom, % 208.85/209.49 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 208.85/209.49 ( 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))) % 208.85/209.49 => ( 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))) % 208.85/209.49 => 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)) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_fun__left__comm__idem__remove,axiom, % 208.85/209.49 ! [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))))) ). % 208.85/209.49 % 208.85/209.49 fof(fact_o__inv__o__cancel,axiom, % 208.85/209.49 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 208.85/209.49 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 208.85/209.49 => 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 ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom, % 208.85/209.49 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 208.85/209.49 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 208.85/209.49 => 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)) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom, % 208.85/209.49 ! [V_z_2,V_x_2,V_f_2,T_c,T_b] : % 208.85/209.49 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 208.85/209.49 => 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) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_fun__left__comm__idem__insert,axiom, % 208.85/209.49 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)) ). % 208.85/209.49 % 208.85/209.49 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom, % 208.85/209.49 ! [V_x_2,V_f_2,T_c,T_b] : % 208.85/209.49 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 208.85/209.49 => 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) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_bij__betw__inv__into,axiom, % 208.85/209.49 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 208.85/209.49 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 208.85/209.49 => 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) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inv__into__injective,axiom, % 208.85/209.49 ! [V_y_2,V_x_2,V_f_2,V_A_2,T_c,T_b] : % 208.85/209.49 ( 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) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 208.85/209.49 => V_x_2 = V_y_2 ) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inv__into__into,axiom, % 208.85/209.49 ! [V_A_2,V_f_2,T_c,V_x_2,T_b] : % 208.85/209.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 208.85/209.49 => 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)) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_f__inv__into__f,axiom, % 208.85/209.49 ! [V_A_2,V_f_2,T_c,V_y_2,T_b] : % 208.85/209.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 208.85/209.49 => 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 ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inv__into__f__eq,axiom, % 208.85/209.49 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 208.85/209.49 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.49 => ( hAPP(V_f_2,V_x_2) = V_y_2 % 208.85/209.49 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inv__into__f__f,axiom, % 208.85/209.49 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] : % 208.85/209.49 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.49 => 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 ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_image__inv__into__cancel,axiom, % 208.85/209.49 ! [V_B_H_2,V_A_H_2,V_A_2,V_f_2,T_b,T_c] : % 208.85/209.49 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2 % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_H_2),V_A_H_2)) % 208.85/209.49 => 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 ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_image__surj__f__inv__f,axiom, % 208.85/209.49 ! [V_A_2,V_f_2,T_b,T_c] : % 208.85/209.49 ( 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)) % 208.85/209.49 => 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 ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_surj__f__inv__f,axiom, % 208.85/209.49 ! [V_y_2,V_f_2,T_b,T_c] : % 208.85/209.49 ( 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)) % 208.85/209.49 => 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 ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_surj__iff__all,axiom, % 208.85/209.49 ! [V_f_2,T_b,T_c] : % 208.85/209.49 ( 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)) % 208.85/209.49 <=> ! [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 ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inv__f__f,axiom, % 208.85/209.49 ! [V_x_2,V_f_2,T_c,T_b] : % 208.85/209.49 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 208.85/209.49 => 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 ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inv__f__eq,axiom, % 208.85/209.49 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 208.85/209.49 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 208.85/209.49 => ( hAPP(V_f_2,V_x_2) = V_y_2 % 208.85/209.49 => 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 ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inv__into__inv__into__eq,axiom, % 208.85/209.49 ! [V_a_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] : % 208.85/209.49 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 208.85/209.49 => 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) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_bij__imp__bij__inv,axiom, % 208.85/209.49 ! [V_f_2,T_c,T_b] : % 208.85/209.49 ( 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))) % 208.85/209.49 => 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))) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inv__inv__eq,axiom, % 208.85/209.49 ! [V_f_2,T_c,T_b] : % 208.85/209.49 ( 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))) % 208.85/209.49 => 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 ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_singleton__quotient,axiom, % 208.85/209.49 ! [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))) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inj__on__inv__into,axiom, % 208.85/209.49 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] : % 208.85/209.49 ( 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))) % 208.85/209.49 => 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) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inv__into__image__cancel,axiom, % 208.85/209.49 ! [V_S_2,V_A_2,V_f_2,T_c,T_b] : % 208.85/209.49 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_A_2)) % 208.85/209.49 => 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 ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_surj__imp__inj__inv,axiom, % 208.85/209.49 ! [V_f_2,T_b,T_c] : % 208.85/209.49 ( 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)) % 208.85/209.49 => 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))) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inv__image__comp,axiom, % 208.85/209.49 ! [V_X_2,V_f_2,T_c,T_b] : % 208.85/209.49 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 208.85/209.49 => 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 ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_image__inv__f__f,axiom, % 208.85/209.49 ! [V_A_2,V_f_2,T_c,T_b] : % 208.85/209.49 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 208.85/209.49 => 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 ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inj__imp__surj__inv,axiom, % 208.85/209.49 ! [V_f_2,T_c,T_b] : % 208.85/209.49 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 208.85/209.49 => 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)) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_quotientE,axiom, % 208.85/209.49 ! [V_r_2,V_A_2,V_X_2,T_b] : % 208.85/209.49 ( 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))) % 208.85/209.49 => ~ ! [B_x] : % 208.85/209.49 ( 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)))) % 208.85/209.49 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_Image__mono,axiom, % 208.85/209.49 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_c,T_b] : % 208.85/209.49 ( 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)) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_H_2),V_A_2)) % 208.85/209.49 => 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))) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_Image__empty,axiom, % 208.85/209.49 ! [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)) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inj__transfer,axiom, % 208.85/209.49 ! [V_x_2,V_Pa_2,V_f_2,T_c,T_b] : % 208.85/209.49 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 208.85/209.49 => ( ! [B_y] : % 208.85/209.49 ( 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))))) % 208.85/209.49 => 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))) ) % 208.85/209.49 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_quotient__def,axiom, % 208.85/209.49 ! [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)))) ). % 208.85/209.49 % 208.85/209.49 fof(fact_equiv__class__self,axiom, % 208.85/209.49 ! [V_a_2,V_r_2,V_A_2,T_b] : % 208.85/209.49 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 208.85/209.49 => 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)))))) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_Diff1__fold__graph,axiom, % 208.85/209.49 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 208.85/209.49 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_y_2)) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.49 => 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))) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inj__iff,axiom, % 208.85/209.49 ! [V_f_2,T_c,T_b] : % 208.85/209.49 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 208.85/209.49 <=> 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) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inv__o__cancel,axiom, % 208.85/209.49 ! [V_f_2,T_c,T_b] : % 208.85/209.49 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 208.85/209.49 => 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) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_surj__iff,axiom, % 208.85/209.49 ! [V_f_2,T_b,T_c] : % 208.85/209.49 ( 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)) % 208.85/209.49 <=> 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) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_bij__betw__id,axiom, % 208.85/209.49 ! [V_A_2,T_b] : c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_A_2) ). % 208.85/209.49 % 208.85/209.49 fof(fact_SUP1__I,axiom, % 208.85/209.49 ! [T_c,V_ba_2,V_B_2,V_A_2,V_a_2,T_b] : % 208.85/209.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_ba_2)) % 208.85/209.49 => 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)) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_less__by__empty,axiom, % 208.85/209.49 ! [V_B_2,T_b,V_A_2] : % 208.85/209.49 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) % 208.85/209.49 => 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)) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_SUP1__iff,axiom, % 208.85/209.49 ! [V_ba_2,V_B_2,V_A_2,T_c,T_b] : % 208.85/209.49 ( 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)) % 208.85/209.49 <=> ? [B_x] : % 208.85/209.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 208.85/209.49 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_ba_2)) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_id__apply,axiom, % 208.85/209.49 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ). % 208.85/209.49 % 208.85/209.49 fof(fact_id__def,axiom, % 208.85/209.49 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ). % 208.85/209.49 % 208.85/209.49 fof(fact_Image__UN,axiom, % 208.85/209.49 ! [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)) ). % 208.85/209.49 % 208.85/209.49 fof(fact_UN__o,axiom, % 208.85/209.49 ! [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) ). % 208.85/209.49 % 208.85/209.49 fof(fact_image__id,axiom, % 208.85/209.49 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),V_Y_2) = V_Y_2 ). % 208.85/209.49 % 208.85/209.49 fof(fact_o__eq__id__dest,axiom, % 208.85/209.49 ! [V_v_2,V_ca_2,V_ba_2,V_a_2,T_b,T_c,T_d] : % 208.85/209.49 ( 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) % 208.85/209.49 => hAPP(V_a_2,hAPP(V_ba_2,V_v_2)) = hAPP(V_ca_2,V_v_2) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_o__id,axiom, % 208.85/209.49 ! [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 ). % 208.85/209.49 % 208.85/209.49 fof(fact_id__o,axiom, % 208.85/209.49 ! [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 ). % 208.85/209.49 % 208.85/209.49 fof(fact_inj__on__id,axiom, % 208.85/209.49 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_Fun_Oid(T_b),V_A_2) ). % 208.85/209.49 % 208.85/209.49 fof(fact_bij__betw__id__iff,axiom, % 208.85/209.49 ! [V_B_2,V_A_2,T_b] : % 208.85/209.49 ( c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_B_2) % 208.85/209.49 <=> V_A_2 = V_B_2 ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_vimage__id,axiom, % 208.85/209.49 ! [V_A_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_Fun_Oid(T_b)),V_A_2) = V_A_2 ). % 208.85/209.49 % 208.85/209.49 fof(fact_fold__graph_Oequations_I1_J,axiom, % 208.85/209.49 ! [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)) ). % 208.85/209.49 % 208.85/209.49 fof(fact_fold__graph_OemptyI,axiom, % 208.85/209.49 ! [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)) ). % 208.85/209.49 % 208.85/209.49 fof(fact_empty__fold__graphE,axiom, % 208.85/209.49 ! [V_x_2,V_z_2,V_f_2,T_c,T_b] : % 208.85/209.49 ( 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)) % 208.85/209.49 => V_x_2 = V_z_2 ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_SUP__UN__eq,axiom, % 208.85/209.49 ! [V_x_2,V_r_2,T_c,T_b] : % 208.85/209.49 ( 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)) % 208.85/209.49 <=> 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))) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_Image__eq__UN,axiom, % 208.85/209.49 ! [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))))) ). % 208.85/209.49 % 208.85/209.49 fof(fact_surj__id,axiom, % 208.85/209.49 ! [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)) ). % 208.85/209.49 % 208.85/209.49 fof(fact_bij__id,axiom, % 208.85/209.49 ! [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))) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inv__id,axiom, % 208.85/209.49 ! [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) ). % 208.85/209.49 % 208.85/209.49 fof(fact_fold__graph_OinsertI,axiom, % 208.85/209.49 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 208.85/209.49 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.49 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 208.85/209.49 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_UN__I,axiom, % 208.85/209.49 ! [V_B_2,V_ba_2,T_c,V_A_2,V_a_2,T_b] : % 208.85/209.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_ba_2),hAPP(V_B_2,V_a_2))) % 208.85/209.49 => 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))) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_vimage__eq__UN,axiom, % 208.85/209.49 ! [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))))) ). % 208.85/209.49 % 208.85/209.49 fof(fact_image__eq__UN,axiom, % 208.85/209.49 ! [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)))) ). % 208.85/209.49 % 208.85/209.49 fof(fact_UN__equiv__class,axiom, % 208.85/209.49 ! [V_a_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 208.85/209.49 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 208.85/209.49 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 208.85/209.49 => 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) ) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_UN__equiv__class2,axiom, % 208.85/209.49 ! [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] : % 208.85/209.49 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 208.85/209.49 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 208.85/209.49 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a1_2),V_A1_2)) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a2_2),V_A2_2)) % 208.85/209.49 => 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) ) ) ) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_UN__simps_I1_J,axiom, % 208.85/209.49 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] : % 208.85/209.49 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.49 => 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)) ) % 208.85/209.49 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.49 => 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)) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_UN__singleton,axiom, % 208.85/209.49 ! [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 ). % 208.85/209.49 % 208.85/209.49 fof(fact_UN__extend__simps_I1_J,axiom, % 208.85/209.49 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] : % 208.85/209.49 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.49 => 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))) ) % 208.85/209.49 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.49 => 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)) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_UN__upper,axiom, % 208.85/209.49 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] : % 208.85/209.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 208.85/209.49 => 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))) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_UN__insert__distrib,axiom, % 208.85/209.49 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] : % 208.85/209.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2)) % 208.85/209.49 => 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)) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_congruent2__implies__congruent,axiom, % 208.85/209.49 ! [V_a_2,V_f_2,V_r2_2,T_d,T_c,V_r1_2,V_A_2,T_b] : % 208.85/209.49 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r1_2) % 208.85/209.49 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 208.85/209.49 => c_Equiv__Relations_Ocongruent(T_c,T_d,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_ball__UN,axiom, % 208.85/209.49 ! [V_Pa_2,V_B_2,V_A_2,T_c,T_b] : % 208.85/209.49 ( ! [B_x] : % 208.85/209.49 ( 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))) % 208.85/209.49 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 208.85/209.49 <=> ! [B_x] : % 208.85/209.49 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 208.85/209.49 => ! [B_xa] : % 208.85/209.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(V_B_2,B_x))) % 208.85/209.49 => hBOOL(hAPP(V_Pa_2,B_xa)) ) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_SUP__commute,axiom, % 208.85/209.49 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] : % 208.85/209.49 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 208.85/209.49 => 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))) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_UN__extend__simps_I9_J,axiom, % 208.85/209.49 ! [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) ). % 208.85/209.49 % 208.85/209.49 fof(fact_UN__simps_I9_J,axiom, % 208.85/209.49 ! [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)) ). % 208.85/209.49 % 208.85/209.49 fof(fact_UN__UN__flatten,axiom, % 208.85/209.49 ! [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)) ). % 208.85/209.49 % 208.85/209.49 fof(fact_congruent2__implies__congruent__UN,axiom, % 208.85/209.49 ! [V_a_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] : % 208.85/209.49 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 208.85/209.49 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 208.85/209.49 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A2_2)) % 208.85/209.49 => 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)) ) ) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_SUP__le__iff,axiom, % 208.85/209.49 ! [V_u_2,V_M_2,V_A_2,T_c,T_b] : % 208.85/209.49 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 208.85/209.49 => ( 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)) % 208.85/209.49 <=> ! [B_x] : % 208.85/209.49 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 208.85/209.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_less__SUP__iff,axiom, % 208.85/209.49 ! [V_f_2,V_A_2,T_c,V_a_2,T_b] : % 208.85/209.49 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 208.85/209.49 & class_Orderings_Olinorder(T_b) ) % 208.85/209.49 => ( 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))) % 208.85/209.49 <=> ? [B_x] : % 208.85/209.49 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 208.85/209.49 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_UN__iff,axiom, % 208.85/209.49 ! [V_B_2,V_A_2,T_c,V_ba_2,T_b] : % 208.85/209.49 ( 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))) % 208.85/209.49 <=> ? [B_x] : % 208.85/209.49 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 208.85/209.49 & hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(V_B_2,B_x))) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_SUP__const,axiom, % 208.85/209.49 ! [V_M_2,T_b,V_A_2,T_c] : % 208.85/209.49 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 208.85/209.49 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.49 => 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 ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_UNION__empty__conv_I2_J,axiom, % 208.85/209.49 ! [V_B_2,V_A_2,T_b,T_c] : % 208.85/209.49 ( 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)) % 208.85/209.49 <=> ! [B_x] : % 208.85/209.49 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 208.85/209.49 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_UN__constant,axiom, % 208.85/209.49 ! [V_ca_2,T_c,T_b,V_A_2] : % 208.85/209.49 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.49 => 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)) ) % 208.85/209.49 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.49 => 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 ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_UN__empty2,axiom, % 208.85/209.49 ! [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)) ). % 208.85/209.49 % 208.85/209.49 fof(fact_UNION__empty__conv_I1_J,axiom, % 208.85/209.49 ! [V_B_2,V_A_2,T_c,T_b] : % 208.85/209.49 ( 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) % 208.85/209.49 <=> ! [B_x] : % 208.85/209.49 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 208.85/209.49 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_UN__subset__iff,axiom, % 208.85/209.49 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : % 208.85/209.49 ( 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)) % 208.85/209.49 <=> ! [B_x] : % 208.85/209.49 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2)) % 208.85/209.49 => 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)) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_UN__extend__simps_I10_J,axiom, % 208.85/209.49 ! [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) ). % 208.85/209.49 % 208.85/209.49 fof(fact_image__UN,axiom, % 208.85/209.49 ! [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)) ). % 208.85/209.49 % 208.85/209.49 fof(fact_UN__simps_I10_J,axiom, % 208.85/209.49 ! [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)) ). % 208.85/209.49 % 208.85/209.49 fof(fact_SUPR__apply,axiom, % 208.85/209.49 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] : % 208.85/209.49 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 208.85/209.49 => 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)) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_UN__simps_I6_J,axiom, % 208.85/209.49 ! [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) ). % 208.85/209.49 % 208.85/209.49 fof(fact_UN__extend__simps_I6_J,axiom, % 208.85/209.49 ! [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)) ). % 208.85/209.49 % 208.85/209.49 fof(fact_vimage__UN,axiom, % 208.85/209.49 ! [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)) ). % 208.85/209.49 % 208.85/209.49 fof(fact_SUP__subset,axiom, % 208.85/209.49 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 208.85/209.49 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.49 => 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))) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_le__SUPI,axiom, % 208.85/209.49 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] : % 208.85/209.49 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2)) % 208.85/209.49 => 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))) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_UN__equiv__class__type2,axiom, % 208.85/209.49 ! [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] : % 208.85/209.49 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 208.85/209.49 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 208.85/209.49 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 208.85/209.49 => ( 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))) % 208.85/209.49 => ( 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))) % 208.85/209.49 => ( ! [B_x1] : % 208.85/209.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x1),V_A1_2)) % 208.85/209.49 => ! [B_x2] : % 208.85/209.49 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x2),V_A2_2)) % 208.85/209.49 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) ) % 208.85/209.49 => 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)) ) ) ) ) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_UN__equiv__class__type,axiom, % 208.85/209.49 ! [V_B_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 208.85/209.49 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 208.85/209.49 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 208.85/209.49 => ( 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))) % 208.85/209.49 => ( ! [B_x] : % 208.85/209.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 208.85/209.49 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) ) % 208.85/209.49 => 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)) ) ) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_fold1Set_Ointros,axiom, % 208.85/209.49 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_b] : % 208.85/209.49 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,V_a_2,V_A_2),V_x_2)) % 208.85/209.49 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 208.85/209.49 => 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)) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_subset__equiv__class,axiom, % 208.85/209.49 ! [V_a_2,V_ba_2,V_r_2,V_A_2,T_b] : % 208.85/209.49 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 208.85/209.49 => ( 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)))))) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),V_A_2)) % 208.85/209.49 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),V_r_2)) ) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_eq__equiv__class__iff2,axiom, % 208.85/209.49 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 208.85/209.49 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 208.85/209.49 => ( 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) % 208.85/209.49 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_equiv__class__subset,axiom, % 208.85/209.49 ! [V_ba_2,V_a_2,V_r_2,V_A_2,T_b] : % 208.85/209.49 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),V_r_2)) % 208.85/209.49 => 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)))))) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_eq__equiv__class,axiom, % 208.85/209.49 ! [V_A_2,V_ba_2,V_a_2,V_r_2,T_b] : % 208.85/209.49 ( 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)))) % 208.85/209.49 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),V_A_2)) % 208.85/209.49 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),V_r_2)) ) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_eq__equiv__class__iff,axiom, % 208.85/209.49 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 208.85/209.49 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 208.85/209.49 => ( 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)))) % 208.85/209.49 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_equiv__class__eq__iff,axiom, % 208.85/209.49 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 208.85/209.49 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 208.85/209.49 <=> ( 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)))) % 208.85/209.49 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.49 & hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_fold__graph__permute__diff,axiom, % 208.85/209.49 ! [V_a_2,V_x_2,V_A_2,V_ba_2,T_b] : % 208.85/209.49 ( class_Groups_Oab__semigroup__mult(T_b) % 208.85/209.49 => ( 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)) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 208.85/209.49 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),V_A_2)) % 208.85/209.49 => 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)) ) ) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_SUP2__I,axiom, % 208.85/209.49 ! [T_d,T_c,V_ca_2,V_ba_2,V_B_2,V_A_2,V_a_2,T_b] : % 208.85/209.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_ba_2),V_ca_2)) % 208.85/209.49 => 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)) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_times_Oidem,axiom, % 208.85/209.49 ! [V_a,T_a] : % 208.85/209.49 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 208.85/209.49 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_mult__idem,axiom, % 208.85/209.49 ! [V_x,T_a] : % 208.85/209.49 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 208.85/209.49 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_mult__left__idem,axiom, % 208.85/209.49 ! [V_b,V_a,T_a] : % 208.85/209.49 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 208.85/209.49 => 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) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom, % 208.85/209.49 ! [V_c,V_b,V_a,T_a] : % 208.85/209.49 ( class_Groups_Oab__semigroup__mult(T_a) % 208.85/209.49 => 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)) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_pred__equals__eq2,axiom, % 208.85/209.49 ! [V_S_2,V_R_2,T_c,T_b] : % 208.85/209.49 ( 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) % 208.85/209.49 <=> V_R_2 = V_S_2 ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_SUP__UN__eq2,axiom, % 208.85/209.49 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] : % 208.85/209.49 ( 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)) % 208.85/209.49 <=> 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))) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_fun__left__comm__idem,axiom, % 208.85/209.49 ! [T_b] : % 208.85/209.49 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 208.85/209.49 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_congruentD,axiom, % 208.85/209.49 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_c,T_b] : % 208.85/209.49 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),V_r_2)) % 208.85/209.49 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_congruent2D,axiom, % 208.85/209.49 ! [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] : % 208.85/209.49 ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) % 208.85/209.49 => ( 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)) % 208.85/209.49 => ( 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)) % 208.85/209.49 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_pred__subset__eq2,axiom, % 208.85/209.49 ! [V_S_2,V_R_2,T_c,T_b] : % 208.85/209.49 ( 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))) % 208.85/209.49 <=> 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)) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_bot__empty__eq2,axiom, % 208.85/209.49 ! [V_y_2,V_x_2,T_c,T_b] : % 208.85/209.49 ( 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)) % 208.85/209.49 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)))) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_empty__fold1SetE,axiom, % 208.85/209.49 ! [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)) ). % 208.85/209.49 % 208.85/209.49 fof(fact_fold1Set__nonempty,axiom, % 208.85/209.49 ! [V_x_2,V_A_2,V_f_2,T_b] : % 208.85/209.49 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),V_x_2)) % 208.85/209.49 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_Image__iff,axiom, % 208.85/209.49 ! [V_A_2,V_r_2,T_c,V_ba_2,T_b] : % 208.85/209.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2))) % 208.85/209.49 <=> ? [B_x] : % 208.85/209.49 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 208.85/209.49 & 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)) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_rev__ImageI,axiom, % 208.85/209.49 ! [V_r_2,V_ba_2,T_c,V_A_2,V_a_2,T_b] : % 208.85/209.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 208.85/209.49 => ( 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)) % 208.85/209.49 => hBOOL(hAPP(hAPP(c_member(T_c),V_ba_2),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_fold__graph__insert__swap,axiom, % 208.85/209.49 ! [V_z_2,V_y_2,V_A_2,V_ba_2,T_b] : % 208.85/209.49 ( class_Groups_Oab__semigroup__mult(T_b) % 208.85/209.49 => ( 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)) % 208.85/209.49 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),V_A_2)) % 208.85/209.49 => 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))) ) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_fold1Set__sing,axiom, % 208.85/209.49 ! [V_ba_2,V_a_2,V_f_2,T_b] : % 208.85/209.49 ( 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)) % 208.85/209.49 <=> V_a_2 = V_ba_2 ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_Image__singleton__iff,axiom, % 208.85/209.49 ! [V_a_2,V_r_2,T_c,V_ba_2,T_b] : % 208.85/209.49 ( 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)))))) % 208.85/209.49 <=> 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)) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_equiv__class__eq,axiom, % 208.85/209.49 ! [V_ba_2,V_a_2,V_r_2,V_A_2,T_b] : % 208.85/209.49 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),V_r_2)) % 208.85/209.49 => 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)))) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_quotient__eq__iff,axiom, % 208.85/209.49 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 208.85/209.49 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 208.85/209.49 => ( 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))) % 208.85/209.49 => ( 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))) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2)) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2)) % 208.85/209.49 => ( V_X_2 = V_Y_2 % 208.85/209.49 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_quotient__eqI,axiom, % 208.85/209.49 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 208.85/209.49 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 208.85/209.49 => ( 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))) % 208.85/209.49 => ( 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))) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2)) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2)) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) % 208.85/209.49 => V_X_2 = V_Y_2 ) ) ) ) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_Image__singleton,axiom, % 208.85/209.49 ! [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)) ). % 208.85/209.49 % 208.85/209.49 fof(fact_in__rel__def,axiom, % 208.85/209.49 ! [V_y_2,V_x_2,V_R_2,T_c,T_b] : % 208.85/209.49 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_b,T_c,V_R_2),V_x_2),V_y_2)) % 208.85/209.49 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),V_R_2)) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_Nitpick_Orefl_H__def,axiom, % 208.85/209.49 ! [V_r_2,T_b] : % 208.85/209.49 ( c_Nitpick_Orefl_H(T_b,V_r_2) % 208.85/209.49 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_UN__equiv__class__inject,axiom, % 208.85/209.49 ! [V_Y_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 208.85/209.49 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 208.85/209.49 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 208.85/209.49 => ( 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) % 208.85/209.49 => ( 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))) % 208.85/209.49 => ( 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))) % 208.85/209.49 => ( ! [B_x] : % 208.85/209.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 208.85/209.49 => ! [B_y] : % 208.85/209.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2)) % 208.85/209.49 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y) % 208.85/209.49 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2)) ) ) ) % 208.85/209.49 => V_X_2 = V_Y_2 ) ) ) ) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_irrefl__def,axiom, % 208.85/209.49 ! [V_r_2,T_b] : % 208.85/209.49 ( c_Relation_Oirrefl(T_b,V_r_2) % 208.85/209.49 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_equiv__class__nondisjoint,axiom, % 208.85/209.49 ! [V_ba_2,V_a_2,V_x_2,V_r_2,V_A_2,T_b] : % 208.85/209.49 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 208.85/209.49 => ( 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))))))) % 208.85/209.49 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),V_r_2)) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_square__eq__iff,axiom, % 208.85/209.49 ! [V_ba_2,V_a_2,T_b] : % 208.85/209.49 ( class_Rings_Oidom(T_b) % 208.85/209.49 => ( 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) % 208.85/209.49 <=> ( V_a_2 = V_ba_2 % 208.85/209.49 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_ba_2) ) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_minus__mult__minus,axiom, % 208.85/209.49 ! [V_b,V_a,T_a] : % 208.85/209.49 ( class_Rings_Oring(T_a) % 208.85/209.49 => 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) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_minus__mult__commute,axiom, % 208.85/209.49 ! [V_b,V_a,T_a] : % 208.85/209.49 ( class_Rings_Oring(T_a) % 208.85/209.49 => 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)) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_minus__mult__left,axiom, % 208.85/209.49 ! [V_b,V_a,T_a] : % 208.85/209.49 ( class_Rings_Oring(T_a) % 208.85/209.49 => 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) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inf1E,axiom, % 208.85/209.49 ! [V_x_2,V_B_2,V_A_2,T_b] : % 208.85/209.49 ( 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)) % 208.85/209.49 => ~ ( hBOOL(hAPP(V_A_2,V_x_2)) % 208.85/209.49 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inf1I,axiom, % 208.85/209.49 ! [T_b,V_B_2,V_x_2,V_A_2] : % 208.85/209.49 ( hBOOL(hAPP(V_A_2,V_x_2)) % 208.85/209.49 => ( hBOOL(hAPP(V_B_2,V_x_2)) % 208.85/209.49 => 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)) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_IntE,axiom, % 208.85/209.49 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 208.85/209.49 ( 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))) % 208.85/209.49 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 208.85/209.49 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_IntI,axiom, % 208.85/209.49 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 208.85/209.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) % 208.85/209.49 => 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))) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_bot2E,axiom, % 208.85/209.49 ! [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)) ). % 208.85/209.49 % 208.85/209.49 fof(fact_SUP2__iff,axiom, % 208.85/209.49 ! [V_ca_2,V_ba_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 208.85/209.49 ( 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)) % 208.85/209.49 <=> ? [B_x] : % 208.85/209.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 208.85/209.49 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_ba_2),V_ca_2)) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_predicate2D,axiom, % 208.85/209.49 ! [V_y_2,V_x_2,V_Q_2,V_Pa_2,T_c,T_b] : % 208.85/209.49 ( 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)) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 208.85/209.49 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_rev__predicate2D,axiom, % 208.85/209.49 ! [V_Q_2,T_c,T_b,V_y_2,V_x_2,V_Pa_2] : % 208.85/209.49 ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 208.85/209.49 => ( 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)) % 208.85/209.49 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inf1D2,axiom, % 208.85/209.49 ! [V_x_2,V_B_2,V_A_2,T_b] : % 208.85/209.49 ( 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)) % 208.85/209.49 => hBOOL(hAPP(V_B_2,V_x_2)) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inf1D1,axiom, % 208.85/209.49 ! [V_x_2,V_B_2,V_A_2,T_b] : % 208.85/209.49 ( 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)) % 208.85/209.49 => hBOOL(hAPP(V_A_2,V_x_2)) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_Int__assoc,axiom, % 208.85/209.49 ! [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)) ). % 208.85/209.49 % 208.85/209.49 fof(fact_Int__left__commute,axiom, % 208.85/209.49 ! [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)) ). % 208.85/209.49 % 208.85/209.49 fof(fact_Int__left__absorb,axiom, % 208.85/209.49 ! [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) ). % 208.85/209.49 % 208.85/209.49 fof(fact_Int__commute,axiom, % 208.85/209.49 ! [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) ). % 208.85/209.49 % 208.85/209.49 fof(fact_Int__absorb,axiom, % 208.85/209.49 ! [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 ). % 208.85/209.49 % 208.85/209.49 fof(fact_inf__apply,axiom, % 208.85/209.49 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 208.85/209.49 ( class_Lattices_Olattice(T_b) % 208.85/209.49 => 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)) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inf__assoc,axiom, % 208.85/209.49 ! [V_z,V_y,V_x,T_a] : % 208.85/209.49 ( class_Lattices_Osemilattice__inf(T_a) % 208.85/209.49 => 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)) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inf__sup__aci_I2_J,axiom, % 208.85/209.49 ! [V_z,V_y,V_x,T_a] : % 208.85/209.49 ( class_Lattices_Olattice(T_a) % 208.85/209.49 => 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)) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inf_Oassoc,axiom, % 208.85/209.49 ! [V_c,V_b,V_a,T_a] : % 208.85/209.49 ( class_Lattices_Osemilattice__inf(T_a) % 208.85/209.49 => 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)) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inf__left__commute,axiom, % 208.85/209.49 ! [V_z,V_y,V_x,T_a] : % 208.85/209.49 ( class_Lattices_Osemilattice__inf(T_a) % 208.85/209.49 => 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)) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inf__sup__aci_I3_J,axiom, % 208.85/209.49 ! [V_z,V_y,V_x,T_a] : % 208.85/209.49 ( class_Lattices_Olattice(T_a) % 208.85/209.49 => 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)) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inf_Oleft__commute,axiom, % 208.85/209.49 ! [V_c,V_a,V_b,T_a] : % 208.85/209.49 ( class_Lattices_Osemilattice__inf(T_a) % 208.85/209.49 => 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)) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inf__left__idem,axiom, % 208.85/209.49 ! [V_y,V_x,T_a] : % 208.85/209.49 ( class_Lattices_Osemilattice__inf(T_a) % 208.85/209.49 => 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) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inf__sup__aci_I4_J,axiom, % 208.85/209.49 ! [V_y,V_x,T_a] : % 208.85/209.49 ( class_Lattices_Olattice(T_a) % 208.85/209.49 => 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) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inf_Oleft__idem,axiom, % 208.85/209.49 ! [V_b,V_a,T_a] : % 208.85/209.49 ( class_Lattices_Osemilattice__inf(T_a) % 208.85/209.49 => 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) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inf__commute,axiom, % 208.85/209.49 ! [V_y,V_x,T_a] : % 208.85/209.49 ( class_Lattices_Osemilattice__inf(T_a) % 208.85/209.49 => 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) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inf__sup__aci_I1_J,axiom, % 208.85/209.49 ! [V_y,V_x,T_a] : % 208.85/209.49 ( class_Lattices_Olattice(T_a) % 208.85/209.49 => 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) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inf_Ocommute,axiom, % 208.85/209.49 ! [V_b,V_a,T_a] : % 208.85/209.49 ( class_Lattices_Osemilattice__inf(T_a) % 208.85/209.49 => 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) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inf__fun__def,axiom, % 208.85/209.49 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 208.85/209.49 ( class_Lattices_Olattice(T_b) % 208.85/209.49 => 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)) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inf__idem,axiom, % 208.85/209.49 ! [V_x,T_a] : % 208.85/209.49 ( class_Lattices_Osemilattice__inf(T_a) % 208.85/209.49 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inf_Oidem,axiom, % 208.85/209.49 ! [V_a,T_a] : % 208.85/209.49 ( class_Lattices_Osemilattice__inf(T_a) % 208.85/209.49 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inf__sup__ord_I1_J,axiom, % 208.85/209.49 ! [V_y,V_x,T_a] : % 208.85/209.49 ( class_Lattices_Olattice(T_a) % 208.85/209.49 => 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)) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inf__le1,axiom, % 208.85/209.49 ! [V_y,V_x,T_a] : % 208.85/209.49 ( class_Lattices_Osemilattice__inf(T_a) % 208.85/209.49 => 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)) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inf__sup__ord_I2_J,axiom, % 208.85/209.49 ! [V_y,V_x,T_a] : % 208.85/209.49 ( class_Lattices_Olattice(T_a) % 208.85/209.49 => 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)) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inf__le2,axiom, % 208.85/209.49 ! [V_y,V_x,T_a] : % 208.85/209.49 ( class_Lattices_Osemilattice__inf(T_a) % 208.85/209.49 => 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)) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_le__iff__inf,axiom, % 208.85/209.49 ! [V_y_2,V_x_2,T_b] : % 208.85/209.49 ( class_Lattices_Osemilattice__inf(T_b) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 208.85/209.49 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = V_x_2 ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_le__inf__iff,axiom, % 208.85/209.49 ! [V_z_2,V_y_2,V_x_2,T_b] : % 208.85/209.49 ( class_Lattices_Osemilattice__inf(T_b) % 208.85/209.49 => ( 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))) % 208.85/209.49 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 208.85/209.49 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_le__infI1,axiom, % 208.85/209.49 ! [V_b,V_x,V_a,T_a] : % 208.85/209.49 ( class_Lattices_Osemilattice__inf(T_a) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 208.85/209.49 => 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)) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_le__infI2,axiom, % 208.85/209.49 ! [V_a,V_x,V_b,T_a] : % 208.85/209.49 ( class_Lattices_Osemilattice__inf(T_a) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 208.85/209.49 => 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)) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inf__absorb1,axiom, % 208.85/209.49 ! [V_y,V_x,T_a] : % 208.85/209.49 ( class_Lattices_Osemilattice__inf(T_a) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 208.85/209.49 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inf__absorb2,axiom, % 208.85/209.49 ! [V_x,V_y,T_a] : % 208.85/209.49 ( class_Lattices_Osemilattice__inf(T_a) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 208.85/209.49 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_le__infI,axiom, % 208.85/209.49 ! [V_b,V_a,V_x,T_a] : % 208.85/209.49 ( class_Lattices_Osemilattice__inf(T_a) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 208.85/209.49 => 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))) ) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inf__greatest,axiom, % 208.85/209.49 ! [V_z,V_y,V_x,T_a] : % 208.85/209.49 ( class_Lattices_Osemilattice__inf(T_a) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) % 208.85/209.49 => 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))) ) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inf__mono,axiom, % 208.85/209.49 ! [V_d,V_b,V_c,V_a,T_a] : % 208.85/209.49 ( class_Lattices_Osemilattice__inf(T_a) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 208.85/209.49 => 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))) ) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_le__infE,axiom, % 208.85/209.49 ! [V_b,V_a,V_x,T_a] : % 208.85/209.49 ( class_Lattices_Osemilattice__inf(T_a) % 208.85/209.49 => ( 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))) % 208.85/209.49 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 208.85/209.49 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_less__infI2,axiom, % 208.85/209.49 ! [V_a,V_x,V_b,T_a] : % 208.85/209.49 ( class_Lattices_Osemilattice__inf(T_a) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x)) % 208.85/209.49 => 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)) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_less__infI1,axiom, % 208.85/209.49 ! [V_b,V_x,V_a,T_a] : % 208.85/209.49 ( class_Lattices_Osemilattice__inf(T_a) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x)) % 208.85/209.49 => 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)) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inf__bot__right,axiom, % 208.85/209.49 ! [V_x,T_a] : % 208.85/209.49 ( class_Lattices_Obounded__lattice__bot(T_a) % 208.85/209.49 => 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) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inf__bot__left,axiom, % 208.85/209.49 ! [V_x,T_a] : % 208.85/209.49 ( class_Lattices_Obounded__lattice__bot(T_a) % 208.85/209.49 => 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) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inf__top__left,axiom, % 208.85/209.49 ! [V_x,T_a] : % 208.85/209.49 ( class_Lattices_Obounded__lattice__top(T_a) % 208.85/209.49 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inf__top__right,axiom, % 208.85/209.49 ! [V_x,T_a] : % 208.85/209.49 ( class_Lattices_Obounded__lattice__top(T_a) % 208.85/209.49 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inf__eq__top__iff,axiom, % 208.85/209.49 ! [V_y_2,V_x_2,T_b] : % 208.85/209.49 ( class_Lattices_Obounded__lattice__top(T_b) % 208.85/209.49 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_b) % 208.85/209.49 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_b) % 208.85/209.49 & V_y_2 = c_Orderings_Otop__class_Otop(T_b) ) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_IntD2,axiom, % 208.85/209.49 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 208.85/209.49 ( 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))) % 208.85/209.49 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_IntD1,axiom, % 208.85/209.49 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 208.85/209.49 ( 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))) % 208.85/209.49 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_Int__iff,axiom, % 208.85/209.49 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 208.85/209.49 ( 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))) % 208.85/209.49 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 208.85/209.49 & hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_disjoint__iff__not__equal,axiom, % 208.85/209.49 ! [V_B_2,V_A_2,T_b] : % 208.85/209.49 ( 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)) % 208.85/209.49 <=> ! [B_x] : % 208.85/209.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 208.85/209.49 => ! [B_xa] : % 208.85/209.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_B_2)) % 208.85/209.49 => B_x != B_xa ) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_Int__empty__right,axiom, % 208.85/209.49 ! [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)) ). % 208.85/209.49 % 208.85/209.49 fof(fact_Int__empty__left,axiom, % 208.85/209.49 ! [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)) ). % 208.85/209.49 % 208.85/209.49 fof(fact_insert__inter__insert,axiom, % 208.85/209.49 ! [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)) ). % 208.85/209.49 % 208.85/209.49 fof(fact_Int__mono,axiom, % 208.85/209.49 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] : % 208.85/209.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2)) % 208.85/209.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_Int__greatest,axiom, % 208.85/209.49 ! [V_B_2,V_A_2,V_C_2,T_b] : % 208.85/209.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) % 208.85/209.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) % 208.85/209.49 => 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))) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_Int__absorb1,axiom, % 208.85/209.49 ! [V_A_2,V_B_2,T_b] : % 208.85/209.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 208.85/209.49 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_Int__absorb2,axiom, % 208.85/209.49 ! [V_B_2,V_A_2,T_b] : % 208.85/209.49 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.49 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_Int__lower2,axiom, % 208.85/209.49 ! [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)) ). % 208.85/209.49 % 208.85/209.49 fof(fact_Int__lower1,axiom, % 208.85/209.49 ! [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)) ). % 208.85/209.49 % 208.85/209.49 fof(fact_Int__UNIV__right,axiom, % 208.85/209.49 ! [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 ). % 208.85/209.49 % 208.85/209.49 fof(fact_Int__UNIV__left,axiom, % 208.85/209.49 ! [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 ). % 208.85/209.49 % 208.85/209.49 fof(fact_Diff__Int2,axiom, % 208.85/209.49 ! [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) ). % 208.85/209.49 % 208.85/209.49 fof(fact_Diff__Int__distrib2,axiom, % 208.85/209.49 ! [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)) ). % 208.85/209.49 % 208.85/209.49 fof(fact_Int__Diff,axiom, % 208.85/209.49 ! [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)) ). % 208.85/209.49 % 208.85/209.49 fof(fact_Diff__Int__distrib,axiom, % 208.85/209.49 ! [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)) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inj__on__Int,axiom, % 208.85/209.49 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 208.85/209.49 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 208.85/209.49 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 208.85/209.49 => 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)) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_vimage__Int,axiom, % 208.85/209.49 ! [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)) ). % 208.85/209.49 % 208.85/209.49 fof(fact_fun__left__comm__idem__inf,axiom, % 208.85/209.49 ! [T_b] : % 208.85/209.49 ( class_Lattices_Osemilattice__inf(T_b) % 208.85/209.49 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inf__Int__eq,axiom, % 208.85/209.49 ! [V_x_2,V_S_2,V_R_2,T_b] : % 208.85/209.49 ( 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)) % 208.85/209.49 <=> 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))) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_Collect__conj__eq,axiom, % 208.85/209.49 ! [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)) ). % 208.85/209.49 % 208.85/209.49 fof(fact_UN__simps_I5_J,axiom, % 208.85/209.49 ! [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)) ). % 208.85/209.49 % 208.85/209.49 fof(fact_UN__simps_I4_J,axiom, % 208.85/209.49 ! [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) ). % 208.85/209.49 % 208.85/209.49 fof(fact_UN__extend__simps_I5_J,axiom, % 208.85/209.49 ! [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)) ). % 208.85/209.49 % 208.85/209.49 fof(fact_Int__UN__distrib,axiom, % 208.85/209.49 ! [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)) ). % 208.85/209.49 % 208.85/209.49 fof(fact_UN__extend__simps_I4_J,axiom, % 208.85/209.49 ! [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)) ). % 208.85/209.49 % 208.85/209.49 fof(fact_Int__UN__distrib2,axiom, % 208.85/209.49 ! [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))) ). % 208.85/209.49 % 208.85/209.49 fof(fact_compl__inf__bot,axiom, % 208.85/209.49 ! [V_x,T_a] : % 208.85/209.49 ( class_Lattices_Oboolean__algebra(T_a) % 208.85/209.49 => 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) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_inf__compl__bot,axiom, % 208.85/209.49 ! [V_x,T_a] : % 208.85/209.49 ( class_Lattices_Oboolean__algebra(T_a) % 208.85/209.49 => 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) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_diff__eq,axiom, % 208.85/209.49 ! [V_y,V_x,T_a] : % 208.85/209.49 ( class_Lattices_Oboolean__algebra(T_a) % 208.85/209.49 => 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)) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_Int__insert__right,axiom, % 208.85/209.49 ! [V_B_2,V_A_2,V_a_2,T_b] : % 208.85/209.49 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 208.85/209.49 => 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)) ) % 208.85/209.49 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 208.85/209.49 => 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) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_Int__insert__left,axiom, % 208.85/209.49 ! [V_B_2,V_C_2,V_a_2,T_b] : % 208.85/209.49 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 208.85/209.49 => 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)) ) % 208.85/209.49 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 208.85/209.49 => 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) ) ) ). % 208.85/209.49 % 208.85/209.49 fof(fact_Int__insert__right__if0,axiom, % 208.85/209.49 ! [V_B_2,V_A_2,V_a_2,T_b] : % 208.85/209.50 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 208.85/209.50 => 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) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Int__insert__left__if0,axiom, % 208.85/209.50 ! [V_B_2,V_C_2,V_a_2,T_b] : % 208.85/209.50 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 208.85/209.50 => 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) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Int__insert__right__if1,axiom, % 208.85/209.50 ! [V_B_2,V_A_2,V_a_2,T_b] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 208.85/209.50 => 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)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Int__insert__left__if1,axiom, % 208.85/209.50 ! [V_B_2,V_C_2,V_a_2,T_b] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 208.85/209.50 => 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)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_image__Int__subset,axiom, % 208.85/209.50 ! [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)))) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Diff__disjoint,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Diff__triv,axiom, % 208.85/209.50 ! [V_B_2,V_A_2,T_b] : % 208.85/209.50 ( 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)) % 208.85/209.50 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Compl__disjoint,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Compl__disjoint2,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Image__Int__subset,axiom, % 208.85/209.50 ! [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)))) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Diff__Compl,axiom, % 208.85/209.50 ! [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) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Diff__eq,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Int__Collect,axiom, % 208.85/209.50 ! [V_Pa_2,V_A_2,V_x_2,T_b] : % 208.85/209.50 ( 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)))) % 208.85/209.50 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.50 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Int__def,axiom, % 208.85/209.50 ! [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))) ). % 208.85/209.50 % 208.85/209.50 fof(fact_inj__on__image__Int,axiom, % 208.85/209.50 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] : % 208.85/209.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 208.85/209.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 208.85/209.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 208.85/209.50 => 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)) ) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_image__Int,axiom, % 208.85/209.50 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 208.85/209.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 208.85/209.50 => 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)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_disjoint__eq__subset__Compl,axiom, % 208.85/209.50 ! [V_B_2,V_A_2,T_b] : % 208.85/209.50 ( 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)) % 208.85/209.50 <=> 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))) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_image__vimage__eq,axiom, % 208.85/209.50 ! [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)))) ). % 208.85/209.50 % 208.85/209.50 fof(fact_linorder__neqE__linordered__idom,axiom, % 208.85/209.50 ! [V_y,V_x,T_a] : % 208.85/209.50 ( class_Rings_Olinordered__idom(T_a) % 208.85/209.50 => ( V_x != V_y % 208.85/209.50 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 208.85/209.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_quotient__disj,axiom, % 208.85/209.50 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 208.85/209.50 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 208.85/209.50 => ( 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))) % 208.85/209.50 => ( 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))) % 208.85/209.50 => ( V_X_2 = V_Y_2 % 208.85/209.50 | 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)) ) ) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_minus__mult__right,axiom, % 208.85/209.50 ! [V_b,V_a,T_a] : % 208.85/209.50 ( class_Rings_Oring(T_a) % 208.85/209.50 => 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)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_equivp__equiv,axiom, % 208.85/209.50 ! [V_A_2,T_b] : % 208.85/209.50 ( c_Equiv__Relations_Oequiv(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_A_2) % 208.85/209.50 <=> 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)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_ImageE,axiom, % 208.85/209.50 ! [V_A_2,V_r_2,T_c,V_ba_2,T_b] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2))) % 208.85/209.50 => ~ ! [B_x] : % 208.85/209.50 ( 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)) % 208.85/209.50 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_insert__fold1SetE,axiom, % 208.85/209.50 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_b] : % 208.85/209.50 ( 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)) % 208.85/209.50 => ~ ! [B_a,B_A] : % 208.85/209.50 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A) % 208.85/209.50 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_x_2)) % 208.85/209.50 => hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_fold1Set_Oequations,axiom, % 208.85/209.50 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_b] : % 208.85/209.50 ( 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)) % 208.85/209.50 <=> ? [B_a,B_A] : % 208.85/209.50 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A) % 208.85/209.50 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_a3_2)) % 208.85/209.50 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Id__on__def,axiom, % 208.85/209.50 ! [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)))) ). % 208.85/209.50 % 208.85/209.50 fof(fact_inj__on__Un,axiom, % 208.85/209.50 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 208.85/209.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.50 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 208.85/209.50 & c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 208.85/209.50 & 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)) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Int__Collect__mono,axiom, % 208.85/209.50 ! [V_Q_2,V_Pa_2,V_B_2,V_A_2,T_b] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.50 => ( ! [B_x] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 208.85/209.50 => ( hBOOL(hAPP(V_Pa_2,B_x)) % 208.85/209.50 => hBOOL(hAPP(V_Q_2,B_x)) ) ) % 208.85/209.50 => 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)))) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_same__fstI,axiom, % 208.85/209.50 ! [T_b,V_R_2,V_y_2,V_y_H_2,T_c,V_x_2,V_Pa_2] : % 208.85/209.50 ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 208.85/209.50 => ( 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))) % 208.85/209.50 => 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))) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_total__on__def,axiom, % 208.85/209.50 ! [V_r_2,V_A_2,T_b] : % 208.85/209.50 ( c_Relation_Ototal__on(T_b,V_A_2,V_r_2) % 208.85/209.50 <=> ! [B_x] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 208.85/209.50 => ! [B_xa] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 208.85/209.50 => ( B_x != B_xa % 208.85/209.50 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_r_2)) % 208.85/209.50 | 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)) ) ) ) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_sup1E,axiom, % 208.85/209.50 ! [V_x_2,V_B_2,V_A_2,T_b] : % 208.85/209.50 ( 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)) % 208.85/209.50 => ( ~ hBOOL(hAPP(V_A_2,V_x_2)) % 208.85/209.50 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_sup1CI,axiom, % 208.85/209.50 ! [T_b,V_A_2,V_x_2,V_B_2] : % 208.85/209.50 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2)) % 208.85/209.50 => hBOOL(hAPP(V_A_2,V_x_2)) ) % 208.85/209.50 => 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)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_UnE,axiom, % 208.85/209.50 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 208.85/209.50 ( 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))) % 208.85/209.50 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 208.85/209.50 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_UnCI,axiom, % 208.85/209.50 ! [V_A_2,V_B_2,V_ca_2,T_b] : % 208.85/209.50 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) % 208.85/209.50 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) ) % 208.85/209.50 => 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))) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Un__Image,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_sup_Oidem,axiom, % 208.85/209.50 ! [V_a,T_a] : % 208.85/209.50 ( class_Lattices_Osemilattice__sup(T_a) % 208.85/209.50 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_sup__idem,axiom, % 208.85/209.50 ! [V_x,T_a] : % 208.85/209.50 ( class_Lattices_Osemilattice__sup(T_a) % 208.85/209.50 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_sup__fun__def,axiom, % 208.85/209.50 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 208.85/209.50 ( class_Lattices_Olattice(T_b) % 208.85/209.50 => 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)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_sup_Ocommute,axiom, % 208.85/209.50 ! [V_b,V_a,T_a] : % 208.85/209.50 ( class_Lattices_Osemilattice__sup(T_a) % 208.85/209.50 => 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) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_inf__sup__aci_I5_J,axiom, % 208.85/209.50 ! [V_y,V_x,T_a] : % 208.85/209.50 ( class_Lattices_Olattice(T_a) % 208.85/209.50 => 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) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_sup__commute,axiom, % 208.85/209.50 ! [V_y,V_x,T_a] : % 208.85/209.50 ( class_Lattices_Osemilattice__sup(T_a) % 208.85/209.50 => 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) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_sup_Oleft__idem,axiom, % 208.85/209.50 ! [V_b,V_a,T_a] : % 208.85/209.50 ( class_Lattices_Osemilattice__sup(T_a) % 208.85/209.50 => 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) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_inf__sup__aci_I8_J,axiom, % 208.85/209.50 ! [V_y,V_x,T_a] : % 208.85/209.50 ( class_Lattices_Olattice(T_a) % 208.85/209.50 => 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) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_sup__left__idem,axiom, % 208.85/209.50 ! [V_y,V_x,T_a] : % 208.85/209.50 ( class_Lattices_Osemilattice__sup(T_a) % 208.85/209.50 => 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) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_sup_Oleft__commute,axiom, % 208.85/209.50 ! [V_c,V_a,V_b,T_a] : % 208.85/209.50 ( class_Lattices_Osemilattice__sup(T_a) % 208.85/209.50 => 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)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_inf__sup__aci_I7_J,axiom, % 208.85/209.50 ! [V_z,V_y,V_x,T_a] : % 208.85/209.50 ( class_Lattices_Olattice(T_a) % 208.85/209.50 => 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)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_sup__left__commute,axiom, % 208.85/209.50 ! [V_z,V_y,V_x,T_a] : % 208.85/209.50 ( class_Lattices_Osemilattice__sup(T_a) % 208.85/209.50 => 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)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_sup_Oassoc,axiom, % 208.85/209.50 ! [V_c,V_b,V_a,T_a] : % 208.85/209.50 ( class_Lattices_Osemilattice__sup(T_a) % 208.85/209.50 => 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)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_inf__sup__aci_I6_J,axiom, % 208.85/209.50 ! [V_z,V_y,V_x,T_a] : % 208.85/209.50 ( class_Lattices_Olattice(T_a) % 208.85/209.50 => 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)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_sup__assoc,axiom, % 208.85/209.50 ! [V_z,V_y,V_x,T_a] : % 208.85/209.50 ( class_Lattices_Osemilattice__sup(T_a) % 208.85/209.50 => 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)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_sup__apply,axiom, % 208.85/209.50 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 208.85/209.50 ( class_Lattices_Olattice(T_b) % 208.85/209.50 => 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)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Un__absorb,axiom, % 208.85/209.50 ! [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 ). % 208.85/209.50 % 208.85/209.50 fof(fact_Un__commute,axiom, % 208.85/209.50 ! [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) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Un__left__absorb,axiom, % 208.85/209.50 ! [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) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Un__left__commute,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Un__assoc,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_bex__Un,axiom, % 208.85/209.50 ! [V_Pa_2,V_B_2,V_A_2,T_b] : % 208.85/209.50 ( ? [B_x] : % 208.85/209.50 ( 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))) % 208.85/209.50 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 208.85/209.50 <=> ( ? [B_x] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 208.85/209.50 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 208.85/209.50 | ? [B_x] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 208.85/209.50 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_ball__Un,axiom, % 208.85/209.50 ! [V_Pa_2,V_B_2,V_A_2,T_b] : % 208.85/209.50 ( ! [B_x] : % 208.85/209.50 ( 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))) % 208.85/209.50 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 208.85/209.50 <=> ( ! [B_x] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 208.85/209.50 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 208.85/209.50 & ! [B_x] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 208.85/209.50 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_sup1I1,axiom, % 208.85/209.50 ! [V_B_2,T_b,V_x_2,V_A_2] : % 208.85/209.50 ( hBOOL(hAPP(V_A_2,V_x_2)) % 208.85/209.50 => 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)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_sup1I2,axiom, % 208.85/209.50 ! [V_A_2,T_b,V_x_2,V_B_2] : % 208.85/209.50 ( hBOOL(hAPP(V_B_2,V_x_2)) % 208.85/209.50 => 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)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_identity__equivp,axiom, % 208.85/209.50 ! [T_b] : c_Equiv__Relations_Oequivp(T_b,c_fequal) ). % 208.85/209.50 % 208.85/209.50 fof(fact_equivp__def,axiom, % 208.85/209.50 ! [V_R_2,T_b] : % 208.85/209.50 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 208.85/209.50 <=> ! [B_x,B_y] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y)) % 208.85/209.50 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_equivp__reflp,axiom, % 208.85/209.50 ! [V_x_2,V_R_2,T_b] : % 208.85/209.50 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 208.85/209.50 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_equivp__symp,axiom, % 208.85/209.50 ! [V_y_2,V_x_2,V_R_2,T_b] : % 208.85/209.50 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 208.85/209.50 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 208.85/209.50 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_equivp__transp,axiom, % 208.85/209.50 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] : % 208.85/209.50 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 208.85/209.50 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 208.85/209.50 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2)) % 208.85/209.50 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_le__supE,axiom, % 208.85/209.50 ! [V_x,V_b,V_a,T_a] : % 208.85/209.50 ( class_Lattices_Osemilattice__sup(T_a) % 208.85/209.50 => ( 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)) % 208.85/209.50 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 208.85/209.50 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_sup__mono,axiom, % 208.85/209.50 ! [V_d,V_b,V_c,V_a,T_a] : % 208.85/209.50 ( class_Lattices_Osemilattice__sup(T_a) % 208.85/209.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 208.85/209.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 208.85/209.50 => 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))) ) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_sup__least,axiom, % 208.85/209.50 ! [V_z,V_x,V_y,T_a] : % 208.85/209.50 ( class_Lattices_Osemilattice__sup(T_a) % 208.85/209.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 208.85/209.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) % 208.85/209.50 => 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)) ) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_le__supI,axiom, % 208.85/209.50 ! [V_b,V_x,V_a,T_a] : % 208.85/209.50 ( class_Lattices_Osemilattice__sup(T_a) % 208.85/209.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 208.85/209.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 208.85/209.50 => 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)) ) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_sup__absorb1,axiom, % 208.85/209.50 ! [V_x,V_y,T_a] : % 208.85/209.50 ( class_Lattices_Osemilattice__sup(T_a) % 208.85/209.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 208.85/209.50 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_sup__absorb2,axiom, % 208.85/209.50 ! [V_y,V_x,T_a] : % 208.85/209.50 ( class_Lattices_Osemilattice__sup(T_a) % 208.85/209.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 208.85/209.50 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_le__supI2,axiom, % 208.85/209.50 ! [V_a,V_b,V_x,T_a] : % 208.85/209.50 ( class_Lattices_Osemilattice__sup(T_a) % 208.85/209.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 208.85/209.50 => 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))) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_le__supI1,axiom, % 208.85/209.50 ! [V_b,V_a,V_x,T_a] : % 208.85/209.50 ( class_Lattices_Osemilattice__sup(T_a) % 208.85/209.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 208.85/209.50 => 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))) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_le__sup__iff,axiom, % 208.85/209.50 ! [V_z_2,V_y_2,V_x_2,T_b] : % 208.85/209.50 ( class_Lattices_Osemilattice__sup(T_b) % 208.85/209.50 => ( 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)) % 208.85/209.50 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 208.85/209.50 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_le__iff__sup,axiom, % 208.85/209.50 ! [V_y_2,V_x_2,T_b] : % 208.85/209.50 ( class_Lattices_Osemilattice__sup(T_b) % 208.85/209.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 208.85/209.50 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = V_y_2 ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_sup__ge2,axiom, % 208.85/209.50 ! [V_x,V_y,T_a] : % 208.85/209.50 ( class_Lattices_Osemilattice__sup(T_a) % 208.85/209.50 => 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))) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_inf__sup__ord_I4_J,axiom, % 208.85/209.50 ! [V_x,V_y,T_a] : % 208.85/209.50 ( class_Lattices_Olattice(T_a) % 208.85/209.50 => 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))) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_sup__ge1,axiom, % 208.85/209.50 ! [V_y,V_x,T_a] : % 208.85/209.50 ( class_Lattices_Osemilattice__sup(T_a) % 208.85/209.50 => 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))) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_inf__sup__ord_I3_J,axiom, % 208.85/209.50 ! [V_y,V_x,T_a] : % 208.85/209.50 ( class_Lattices_Olattice(T_a) % 208.85/209.50 => 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))) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_less__supI1,axiom, % 208.85/209.50 ! [V_b,V_a,V_x,T_a] : % 208.85/209.50 ( class_Lattices_Osemilattice__sup(T_a) % 208.85/209.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 208.85/209.50 => 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))) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_less__supI2,axiom, % 208.85/209.50 ! [V_a,V_b,V_x,T_a] : % 208.85/209.50 ( class_Lattices_Osemilattice__sup(T_a) % 208.85/209.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b)) % 208.85/209.50 => 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))) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_sup__bot__left,axiom, % 208.85/209.50 ! [V_x,T_a] : % 208.85/209.50 ( class_Lattices_Obounded__lattice__bot(T_a) % 208.85/209.50 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_sup__bot__right,axiom, % 208.85/209.50 ! [V_x,T_a] : % 208.85/209.50 ( class_Lattices_Obounded__lattice__bot(T_a) % 208.85/209.50 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_sup__eq__bot__iff,axiom, % 208.85/209.50 ! [V_y_2,V_x_2,T_b] : % 208.85/209.50 ( class_Lattices_Obounded__lattice__bot(T_b) % 208.85/209.50 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_b) % 208.85/209.50 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_b) % 208.85/209.50 & V_y_2 = c_Orderings_Obot__class_Obot(T_b) ) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_inf__sup__absorb,axiom, % 208.85/209.50 ! [V_y,V_x,T_a] : % 208.85/209.50 ( class_Lattices_Olattice(T_a) % 208.85/209.50 => 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 ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_sup__inf__absorb,axiom, % 208.85/209.50 ! [V_y,V_x,T_a] : % 208.85/209.50 ( class_Lattices_Olattice(T_a) % 208.85/209.50 => 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 ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_inf__sup__distrib1,axiom, % 208.85/209.50 ! [V_z,V_y,V_x,T_a] : % 208.85/209.50 ( class_Lattices_Odistrib__lattice(T_a) % 208.85/209.50 => 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)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_sup__inf__distrib1,axiom, % 208.85/209.50 ! [V_z,V_y,V_x,T_a] : % 208.85/209.50 ( class_Lattices_Odistrib__lattice(T_a) % 208.85/209.50 => 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)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_inf__sup__distrib2,axiom, % 208.85/209.50 ! [V_x,V_z,V_y,T_a] : % 208.85/209.50 ( class_Lattices_Odistrib__lattice(T_a) % 208.85/209.50 => 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)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_sup__inf__distrib2,axiom, % 208.85/209.50 ! [V_x,V_z,V_y,T_a] : % 208.85/209.50 ( class_Lattices_Odistrib__lattice(T_a) % 208.85/209.50 => 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)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_sup__top__right,axiom, % 208.85/209.50 ! [V_x,T_a] : % 208.85/209.50 ( class_Lattices_Obounded__lattice__top(T_a) % 208.85/209.50 => 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) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_sup__top__left,axiom, % 208.85/209.50 ! [V_x,T_a] : % 208.85/209.50 ( class_Lattices_Obounded__lattice__top(T_a) % 208.85/209.50 => 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) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Un__iff,axiom, % 208.85/209.50 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 208.85/209.50 ( 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))) % 208.85/209.50 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 208.85/209.50 | hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_UnI1,axiom, % 208.85/209.50 ! [V_B_2,V_A_2,V_ca_2,T_b] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) % 208.85/209.50 => 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))) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_UnI2,axiom, % 208.85/209.50 ! [V_A_2,V_B_2,V_ca_2,T_b] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) % 208.85/209.50 => 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))) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Un__empty__left,axiom, % 208.85/209.50 ! [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 ). % 208.85/209.50 % 208.85/209.50 fof(fact_Un__empty__right,axiom, % 208.85/209.50 ! [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 ). % 208.85/209.50 % 208.85/209.50 fof(fact_Un__empty,axiom, % 208.85/209.50 ! [V_B_2,V_A_2,T_b] : % 208.85/209.50 ( 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)) % 208.85/209.50 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.50 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Un__insert__right,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Un__insert__left,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Un__upper1,axiom, % 208.85/209.50 ! [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))) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Un__upper2,axiom, % 208.85/209.50 ! [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))) ). % 208.85/209.50 % 208.85/209.50 fof(fact_subset__Un__eq,axiom, % 208.85/209.50 ! [V_B_2,V_A_2,T_b] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.50 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Un__absorb1,axiom, % 208.85/209.50 ! [V_B_2,V_A_2,T_b] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.50 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Un__absorb2,axiom, % 208.85/209.50 ! [V_A_2,V_B_2,T_b] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 208.85/209.50 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Un__least,axiom, % 208.85/209.50 ! [V_B_2,V_C_2,V_A_2,T_b] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 208.85/209.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 208.85/209.50 => 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)) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Un__mono,axiom, % 208.85/209.50 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 208.85/209.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2)) % 208.85/209.50 => 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))) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Un__UNIV__left,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Un__UNIV__right,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_image__Un,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Int__Un__distrib,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Un__Int__distrib,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Int__Un__distrib2,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Un__Int__distrib2,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Un__Int__crazy,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Un__Diff__cancel,axiom, % 208.85/209.50 ! [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) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Un__Diff__cancel2,axiom, % 208.85/209.50 ! [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) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Un__Diff,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Image__Un,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_vimage__Un,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_fun__left__comm__idem__sup,axiom, % 208.85/209.50 ! [T_b] : % 208.85/209.50 ( class_Lattices_Osemilattice__sup(T_b) % 208.85/209.50 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_sup__Un__eq,axiom, % 208.85/209.50 ! [V_x_2,V_S_2,V_R_2,T_b] : % 208.85/209.50 ( 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)) % 208.85/209.50 <=> 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))) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Collect__disj__eq,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_UN__Un,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_UN__Un__distrib,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_distrib__inf__le,axiom, % 208.85/209.50 ! [V_z,V_y,V_x,T_a] : % 208.85/209.50 ( class_Lattices_Olattice(T_a) % 208.85/209.50 => 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)))) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_distrib__sup__le,axiom, % 208.85/209.50 ! [V_z,V_y,V_x,T_a] : % 208.85/209.50 ( class_Lattices_Olattice(T_a) % 208.85/209.50 => 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)))) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_compl__inf,axiom, % 208.85/209.50 ! [V_y,V_x,T_a] : % 208.85/209.50 ( class_Lattices_Oboolean__algebra(T_a) % 208.85/209.50 => 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)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_compl__sup,axiom, % 208.85/209.50 ! [V_y,V_x,T_a] : % 208.85/209.50 ( class_Lattices_Oboolean__algebra(T_a) % 208.85/209.50 => 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)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_compl__sup__top,axiom, % 208.85/209.50 ! [V_x,T_a] : % 208.85/209.50 ( class_Lattices_Oboolean__algebra(T_a) % 208.85/209.50 => 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) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_sup__compl__top,axiom, % 208.85/209.50 ! [V_x,T_a] : % 208.85/209.50 ( class_Lattices_Oboolean__algebra(T_a) % 208.85/209.50 => 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) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_insert__is__Un,axiom, % 208.85/209.50 ! [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) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Un__Int__assoc__eq,axiom, % 208.85/209.50 ! [V_C_2,V_B_2,V_A_2,T_b] : % 208.85/209.50 ( 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)) % 208.85/209.50 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Diff__subset__conv,axiom, % 208.85/209.50 ! [V_C_2,V_B_2,V_A_2,T_b] : % 208.85/209.50 ( 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)) % 208.85/209.50 <=> 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))) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Diff__partition,axiom, % 208.85/209.50 ! [V_B_2,V_A_2,T_b] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.50 => 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 ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Un__Diff__Int,axiom, % 208.85/209.50 ! [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 ). % 208.85/209.50 % 208.85/209.50 fof(fact_Diff__Un,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Diff__Int,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_inj__on__Un__image__eq__iff,axiom, % 208.85/209.50 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 208.85/209.50 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.50 => ( 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) % 208.85/209.50 <=> V_A_2 = V_B_2 ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_inf__Int__eq2,axiom, % 208.85/209.50 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] : % 208.85/209.50 ( 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)) % 208.85/209.50 <=> 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))) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Compl__partition,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Compl__partition2,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Compl__Un,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Compl__Int,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Compl__Diff__eq,axiom, % 208.85/209.50 ! [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) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Un__def,axiom, % 208.85/209.50 ! [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))) ). % 208.85/209.50 % 208.85/209.50 fof(fact_UN__absorb,axiom, % 208.85/209.50 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2)) % 208.85/209.50 => 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) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_insert__def,axiom, % 208.85/209.50 ! [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) ). % 208.85/209.50 % 208.85/209.50 fof(fact_UN__simps_I3_J,axiom, % 208.85/209.50 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 208.85/209.50 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.50 => 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)) ) % 208.85/209.50 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.50 => 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)) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_UN__simps_I2_J,axiom, % 208.85/209.50 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 208.85/209.50 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.50 => 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)) ) % 208.85/209.50 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.50 => 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) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_UN__extend__simps_I3_J,axiom, % 208.85/209.50 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 208.85/209.50 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.50 => 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 ) % 208.85/209.50 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.50 => 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)) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_UN__extend__simps_I2_J,axiom, % 208.85/209.50 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 208.85/209.50 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.50 => 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 ) % 208.85/209.50 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.50 => 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)) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_UN__insert,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Collect__imp__eq,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_total__on__empty,axiom, % 208.85/209.50 ! [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) ). % 208.85/209.50 % 208.85/209.50 fof(fact_vimage__insert,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_bij__betw__combine,axiom, % 208.85/209.50 ! [V_D_2,V_C_2,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 208.85/209.50 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 208.85/209.50 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_C_2,V_D_2) % 208.85/209.50 => ( 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)) % 208.85/209.50 => 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)) ) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_bij__betw__Disj__Un,axiom, % 208.85/209.50 ! [V_f_2,V_B_H_2,V_A_H_2,T_c,V_B_2,V_A_2,T_b] : % 208.85/209.50 ( 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)) % 208.85/209.50 => ( 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)) % 208.85/209.50 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2) % 208.85/209.50 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2) % 208.85/209.50 => 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)) ) ) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Id__on__empty,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Image__Id__on,axiom, % 208.85/209.50 ! [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) ). % 208.85/209.50 % 208.85/209.50 fof(fact_if__image__distrib,axiom, % 208.85/209.50 ! [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))))) ). % 208.85/209.50 % 208.85/209.50 fof(fact_compl__unique,axiom, % 208.85/209.50 ! [V_y,V_x,T_a] : % 208.85/209.50 ( class_Lattices_Oboolean__algebra(T_a) % 208.85/209.50 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a) % 208.85/209.50 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a) % 208.85/209.50 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Id__on__eqI,axiom, % 208.85/209.50 ! [V_A_2,T_b,V_ba_2,V_a_2] : % 208.85/209.50 ( V_a_2 = V_ba_2 % 208.85/209.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 208.85/209.50 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_ba_2)),c_Relation_OId__on(T_b,V_A_2))) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Id__on__iff,axiom, % 208.85/209.50 ! [V_A_2,V_y_2,V_x_2,T_b] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Relation_OId__on(T_b,V_A_2))) % 208.85/209.50 <=> ( V_x_2 = V_y_2 % 208.85/209.50 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Field__insert,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_in__lex__prod,axiom, % 208.85/209.50 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_ba_2,V_a_2,T_c,T_b] : % 208.85/209.50 ( 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))) % 208.85/209.50 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_H_2)),V_r_2)) % 208.85/209.50 | ( V_a_2 = V_a_H_2 % 208.85/209.50 & 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)) ) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Id__onE,axiom, % 208.85/209.50 ! [V_A_2,V_ca_2,T_b] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_ca_2),c_Relation_OId__on(T_b,V_A_2))) % 208.85/209.50 => ~ ! [B_x] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 208.85/209.50 => V_ca_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_SUP2__E,axiom, % 208.85/209.50 ! [V_ca_2,V_ba_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 208.85/209.50 ( 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)) % 208.85/209.50 => ~ ! [B_x] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 208.85/209.50 => ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_ba_2),V_ca_2)) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_RangeI,axiom, % 208.85/209.50 ! [V_r_2,V_ba_2,V_a_2,T_c,T_b] : % 208.85/209.50 ( 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)) % 208.85/209.50 => hBOOL(hAPP(hAPP(c_member(T_c),V_ba_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_DomainI,axiom, % 208.85/209.50 ! [V_r_2,V_ba_2,V_a_2,T_c,T_b] : % 208.85/209.50 ( 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)) % 208.85/209.50 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Pow__empty,axiom, % 208.85/209.50 ! [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))) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Inf__binary,axiom, % 208.85/209.50 ! [V_ba_2,V_a_2,T_b] : % 208.85/209.50 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 208.85/209.50 => 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) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_congruent2I_H,axiom, % 208.85/209.50 ! [T_d,V_f_2,V_r2_2,T_c,V_r1_2,T_b] : % 208.85/209.50 ( ! [B_y1,B_z1] : % 208.85/209.50 ( 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)) % 208.85/209.50 => ! [B_y2,B_z2] : % 208.85/209.50 ( 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)) % 208.85/209.50 => hAPP(hAPP(V_f_2,B_y1),B_y2) = hAPP(hAPP(V_f_2,B_z1),B_z2) ) ) % 208.85/209.50 => c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_inf2E,axiom, % 208.85/209.50 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 208.85/209.50 ( 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)) % 208.85/209.50 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 208.85/209.50 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_inf2I,axiom, % 208.85/209.50 ! [T_c,T_b,V_B_2,V_y_2,V_x_2,V_A_2] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 208.85/209.50 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 208.85/209.50 => 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)) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_InterD,axiom, % 208.85/209.50 ! [V_X_2,V_C_2,V_A_2,T_b] : % 208.85/209.50 ( 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))) % 208.85/209.50 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 208.85/209.50 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_InterE,axiom, % 208.85/209.50 ! [V_X_2,V_C_2,V_A_2,T_b] : % 208.85/209.50 ( 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))) % 208.85/209.50 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 208.85/209.50 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_PowI,axiom, % 208.85/209.50 ! [V_B_2,V_A_2,T_b] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.50 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_inf2D2,axiom, % 208.85/209.50 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 208.85/209.50 ( 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)) % 208.85/209.50 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_inf2D1,axiom, % 208.85/209.50 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 208.85/209.50 ( 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)) % 208.85/209.50 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Field__def,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Cantors__paradox,axiom, % 208.85/209.50 ! [V_A_2,T_b] : % 208.85/209.50 ~ ? [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) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Inter__UNIV,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Inter__anti__mono,axiom, % 208.85/209.50 ! [V_A_2,V_B_2,T_b] : % 208.85/209.50 ( 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)) % 208.85/209.50 => 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))) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Inter__Un__distrib,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Pow__insert,axiom, % 208.85/209.50 ! [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))) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Domain__Un__eq,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Pow__mono,axiom, % 208.85/209.50 ! [V_B_2,V_A_2,T_b] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.50 => 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))) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Pow__UNIV,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_image__Pow__surj,axiom, % 208.85/209.50 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : % 208.85/209.50 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_B_2 % 208.85/209.50 => 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) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Un__Pow__subset,axiom, % 208.85/209.50 ! [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)))) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Pow__Int__eq,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Pow__top,axiom, % 208.85/209.50 ! [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))) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Range__Un__eq,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_le__Inf__iff,axiom, % 208.85/209.50 ! [V_A_2,V_ba_2,T_b] : % 208.85/209.50 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 208.85/209.50 => ( 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))) % 208.85/209.50 <=> ! [B_x] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 208.85/209.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),B_x)) ) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Inf__less__iff,axiom, % 208.85/209.50 ! [V_a_2,V_S_2,T_b] : % 208.85/209.50 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 208.85/209.50 & class_Orderings_Olinorder(T_b) ) % 208.85/209.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_S_2)),V_a_2)) % 208.85/209.50 <=> ? [B_x] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 208.85/209.50 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_a_2)) ) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Domain__Id__on,axiom, % 208.85/209.50 ! [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 ). % 208.85/209.50 % 208.85/209.50 fof(fact_Pow__not__empty,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Range__Id__on,axiom, % 208.85/209.50 ! [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 ). % 208.85/209.50 % 208.85/209.50 fof(fact_Pow__def,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Field__Un,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_sup__Un__eq2,axiom, % 208.85/209.50 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] : % 208.85/209.50 ( 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)) % 208.85/209.50 <=> 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))) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Inter__Un__subset,axiom, % 208.85/209.50 ! [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)))) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Inter__lower,axiom, % 208.85/209.50 ! [V_A_2,V_B_2,T_b] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 208.85/209.50 => 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)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Domain__Int__subset,axiom, % 208.85/209.50 ! [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)))) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Pow__bottom,axiom, % 208.85/209.50 ! [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))) ). % 208.85/209.50 % 208.85/209.50 fof(fact_image__Pow__mono,axiom, % 208.85/209.50 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 208.85/209.50 ( 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)) % 208.85/209.50 => 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))) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Domain__Diff__subset,axiom, % 208.85/209.50 ! [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)))) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Pow__iff,axiom, % 208.85/209.50 ! [V_B_2,V_A_2,T_b] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) % 208.85/209.50 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_PowD,axiom, % 208.85/209.50 ! [V_B_2,V_A_2,T_b] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) % 208.85/209.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Domain__empty__iff,axiom, % 208.85/209.50 ! [V_r_2,T_c,T_b] : % 208.85/209.50 ( hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.50 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Domain__empty,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Range__Int__subset,axiom, % 208.85/209.50 ! [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)))) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Domain__mono,axiom, % 208.85/209.50 ! [V_s_2,V_r_2,T_c,T_b] : % 208.85/209.50 ( 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)) % 208.85/209.50 => 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))) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Range__Diff__subset,axiom, % 208.85/209.50 ! [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)))) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Inter__empty,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Inter__insert,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Range__empty__iff,axiom, % 208.85/209.50 ! [V_r_2,T_b,T_c] : % 208.85/209.50 ( hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.50 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Range__empty,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Inf__lower,axiom, % 208.85/209.50 ! [V_A_2,V_x_2,T_b] : % 208.85/209.50 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 208.85/209.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.50 => 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)) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Inf__singleton,axiom, % 208.85/209.50 ! [V_a_2,T_b] : % 208.85/209.50 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 208.85/209.50 => 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 ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Inf__empty,axiom, % 208.85/209.50 ! [T_b] : % 208.85/209.50 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 208.85/209.50 => 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) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Inf__UNIV,axiom, % 208.85/209.50 ! [T_b] : % 208.85/209.50 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 208.85/209.50 => 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) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Inf__insert,axiom, % 208.85/209.50 ! [V_A_2,V_a_2,T_b] : % 208.85/209.50 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 208.85/209.50 => 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)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Field__empty,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_mono__Field,axiom, % 208.85/209.50 ! [V_s_2,V_r_2,T_b] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) % 208.85/209.50 => 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))) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Domain__iff,axiom, % 208.85/209.50 ! [V_r_2,T_c,V_a_2,T_b] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) % 208.85/209.50 <=> ? [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)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Range__iff,axiom, % 208.85/209.50 ! [V_r_2,T_c,V_a_2,T_b] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2))) % 208.85/209.50 <=> ? [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)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Domain__insert,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_UN__Pow__subset,axiom, % 208.85/209.50 ! [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)))) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Range__insert,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Int__eq__Inter,axiom, % 208.85/209.50 ! [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))))) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Powp__Pow__eq,axiom, % 208.85/209.50 ! [V_x_2,V_A_2,T_b] : % 208.85/209.50 ( 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)) % 208.85/209.50 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_b),V_A_2))) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_RangeP__Range__eq,axiom, % 208.85/209.50 ! [V_x_2,V_r_2,T_c,T_b] : % 208.85/209.50 ( 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)) % 208.85/209.50 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_DomainP__Domain__eq,axiom, % 208.85/209.50 ! [V_x_2,V_r_2,T_c,T_b] : % 208.85/209.50 ( 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)) % 208.85/209.50 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_RangeE,axiom, % 208.85/209.50 ! [V_r_2,T_c,V_ba_2,T_b] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2))) % 208.85/209.50 => ~ ! [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)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_DomainE,axiom, % 208.85/209.50 ! [V_r_2,T_c,V_a_2,T_b] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) % 208.85/209.50 => ~ ! [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)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_in__measure,axiom, % 208.85/209.50 ! [V_f_2,V_y_2,V_x_2,T_b] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Wellfounded_Omeasure(T_b),V_f_2))) % 208.85/209.50 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_mlex__leq,axiom, % 208.85/209.50 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) % 208.85/209.50 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_R_2)) % 208.85/209.50 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2))) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_mlex__less,axiom, % 208.85/209.50 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) % 208.85/209.50 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2))) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_sup2E,axiom, % 208.85/209.50 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 208.85/209.50 ( 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)) % 208.85/209.50 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 208.85/209.50 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_sup2CI,axiom, % 208.85/209.50 ! [T_c,T_b,V_A_2,V_y_2,V_x_2,V_B_2] : % 208.85/209.50 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 208.85/209.50 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) % 208.85/209.50 => 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)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_DomainP_Ointros,axiom, % 208.85/209.50 ! [T_c,T_b,V_ba_2,V_a_2,V_r_2] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_ba_2)) % 208.85/209.50 => hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a_2)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_RangeP_Ointros,axiom, % 208.85/209.50 ! [T_c,T_b,V_ba_2,V_a_2,V_r_2] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_ba_2)) % 208.85/209.50 => hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_ba_2)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_sup2I1,axiom, % 208.85/209.50 ! [V_B_2,T_c,T_b,V_y_2,V_x_2,V_A_2] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 208.85/209.50 => 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)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_sup2I2,axiom, % 208.85/209.50 ! [V_A_2,T_c,T_b,V_y_2,V_x_2,V_B_2] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 208.85/209.50 => 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)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_termination__basic__simps_I5_J,axiom, % 208.85/209.50 ! [V_y,V_x] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 208.85/209.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_RangeP_Oequations,axiom, % 208.85/209.50 ! [V_a2_2,V_r_2,T_c,T_b] : % 208.85/209.50 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_a2_2)) % 208.85/209.50 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Powp__mono,axiom, % 208.85/209.50 ! [V_B_2,V_A_2,T_b] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.50 => 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))) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_less__diff__iff,axiom, % 208.85/209.50 ! [V_n_2,V_m_2,V_k_2] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 208.85/209.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2)) % 208.85/209.50 => ( 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))) % 208.85/209.50 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_diff__less__mono,axiom, % 208.85/209.50 ! [V_c,V_b,V_a] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b)) % 208.85/209.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a)) % 208.85/209.50 => 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))) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_nat__less__le,axiom, % 208.85/209.50 ! [V_n_2,V_m_2] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 208.85/209.50 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 208.85/209.50 & V_m_2 != V_n_2 ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_le__eq__less__or__eq,axiom, % 208.85/209.50 ! [V_n_2,V_m_2] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 208.85/209.50 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 208.85/209.50 | V_m_2 = V_n_2 ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_less__imp__le__nat,axiom, % 208.85/209.50 ! [V_n,V_m] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 208.85/209.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_le__neq__implies__less,axiom, % 208.85/209.50 ! [V_n,V_m] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 208.85/209.50 => ( V_m != V_n % 208.85/209.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_less__or__eq__imp__le,axiom, % 208.85/209.50 ! [V_n,V_m] : % 208.85/209.50 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 208.85/209.50 | V_m = V_n ) % 208.85/209.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_inj__on__Inter,axiom, % 208.85/209.50 ! [V_f_2,T_c,T_b,V_S_2] : % 208.85/209.50 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) % 208.85/209.50 => ( ! [B_A] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_A),V_S_2)) % 208.85/209.50 => c_Fun_Oinj__on(T_b,T_c,V_f_2,B_A) ) % 208.85/209.50 => 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)) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_diff__commute,axiom, % 208.85/209.50 ! [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) ). % 208.85/209.50 % 208.85/209.50 fof(fact_diff__mult__distrib,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_diff__mult__distrib2,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_less__not__refl,axiom, % 208.85/209.50 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_nat__neq__iff,axiom, % 208.85/209.50 ! [V_n_2,V_m_2] : % 208.85/209.50 ( V_m_2 != V_n_2 % 208.85/209.50 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 208.85/209.50 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_linorder__neqE__nat,axiom, % 208.85/209.50 ! [V_y,V_x] : % 208.85/209.50 ( V_x != V_y % 208.85/209.50 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 208.85/209.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_less__irrefl__nat,axiom, % 208.85/209.50 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_less__not__refl2,axiom, % 208.85/209.50 ! [V_m,V_n] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m)) % 208.85/209.50 => V_m != V_n ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_less__not__refl3,axiom, % 208.85/209.50 ! [V_t,V_s] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t)) % 208.85/209.50 => V_s != V_t ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_nat__less__cases,axiom, % 208.85/209.50 ! [V_Pa_2,V_n_2,V_m_2] : % 208.85/209.50 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 208.85/209.50 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) ) % 208.85/209.50 => ( ( V_m_2 = V_n_2 % 208.85/209.50 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) ) % 208.85/209.50 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 208.85/209.50 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) ) % 208.85/209.50 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) ) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_less__imp__diff__less,axiom, % 208.85/209.50 ! [V_n,V_k,V_j] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k)) % 208.85/209.50 => 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)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_diff__less__mono2,axiom, % 208.85/209.50 ! [V_l,V_n,V_m] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 208.85/209.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l)) % 208.85/209.50 => 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))) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_le__diff__iff,axiom, % 208.85/209.50 ! [V_n_2,V_m_2,V_k_2] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 208.85/209.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2)) % 208.85/209.50 => ( 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))) % 208.85/209.50 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Nat_Odiff__diff__eq,axiom, % 208.85/209.50 ! [V_n,V_m,V_k] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m)) % 208.85/209.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) % 208.85/209.50 => 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) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_eq__diff__iff,axiom, % 208.85/209.50 ! [V_n_2,V_m_2,V_k_2] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 208.85/209.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2)) % 208.85/209.50 => ( 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) % 208.85/209.50 <=> V_m_2 = V_n_2 ) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_diff__diff__cancel,axiom, % 208.85/209.50 ! [V_n,V_i] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n)) % 208.85/209.50 => 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 ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_diff__le__mono,axiom, % 208.85/209.50 ! [V_l,V_n,V_m] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 208.85/209.50 => 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))) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_diff__le__mono2,axiom, % 208.85/209.50 ! [V_l,V_n,V_m] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 208.85/209.50 => 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))) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_diff__le__self,axiom, % 208.85/209.50 ! [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)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_le__refl,axiom, % 208.85/209.50 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ). % 208.85/209.50 % 208.85/209.50 fof(fact_nat__le__linear,axiom, % 208.85/209.50 ! [V_n,V_m] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 208.85/209.50 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_eq__imp__le,axiom, % 208.85/209.50 ! [V_n,V_m] : % 208.85/209.50 ( V_m = V_n % 208.85/209.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_le__trans,axiom, % 208.85/209.50 ! [V_k,V_j,V_i] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 208.85/209.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k)) % 208.85/209.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_le__antisym,axiom, % 208.85/209.50 ! [V_n,V_m] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 208.85/209.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 208.85/209.50 => V_m = V_n ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_mult__le__mono,axiom, % 208.85/209.50 ! [V_l,V_k,V_j,V_i] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 208.85/209.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l)) % 208.85/209.50 => 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))) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_mult__le__mono2,axiom, % 208.85/209.50 ! [V_k,V_j,V_i] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 208.85/209.50 => 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))) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_mult__le__mono1,axiom, % 208.85/209.50 ! [V_k,V_j,V_i] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 208.85/209.50 => 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))) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_le__cube,axiom, % 208.85/209.50 ! [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)))) ). % 208.85/209.50 % 208.85/209.50 fof(fact_le__square,axiom, % 208.85/209.50 ! [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))) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Inter__subset,axiom, % 208.85/209.50 ! [V_B_2,V_A_2,T_b] : % 208.85/209.50 ( ! [B_X] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2)) % 208.85/209.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_B_2)) ) % 208.85/209.50 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) % 208.85/209.50 => 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)) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_wf__Un,axiom, % 208.85/209.50 ! [V_s_2,V_r_2,T_b] : % 208.85/209.50 ( c_Wellfounded_Owf(T_b,V_r_2) % 208.85/209.50 => ( c_Wellfounded_Owf(T_b,V_s_2) % 208.85/209.50 => ( 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)) % 208.85/209.50 => 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)) ) ) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_InterI,axiom, % 208.85/209.50 ! [V_A_2,V_C_2,T_b] : % 208.85/209.50 ( ! [B_X] : % 208.85/209.50 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) % 208.85/209.50 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) ) % 208.85/209.50 => 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))) ) ). % 208.85/209.50 % 208.85/209.50 fof(fact_Pow__Compl,axiom, % 208.85/209.51 ! [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))))) ). % 208.85/209.51 % 208.85/209.51 fof(fact_irrefl__diff__Id,axiom, % 208.85/209.51 ! [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))) ). % 208.85/209.51 % 208.85/209.51 fof(fact_pair__lessI2,axiom, % 208.85/209.51 ! [V_t_2,V_s_2,V_ba_2,V_a_2] : % 208.85/209.51 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_ba_2)) % 208.85/209.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2)) % 208.85/209.51 => 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)) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_congruentI,axiom, % 208.85/209.51 ! [T_c,V_f_2,V_r_2,T_b] : % 208.85/209.51 ( ! [B_y,B_z] : % 208.85/209.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_z)),V_r_2)) % 208.85/209.51 => hAPP(V_f_2,B_y) = hAPP(V_f_2,B_z) ) % 208.85/209.51 => c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_UN__mono,axiom, % 208.85/209.51 ! [V_g_2,V_f_2,T_c,V_B_2,V_A_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.51 => ( ! [B_x] : % 208.85/209.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 208.85/209.51 => 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))) ) % 208.85/209.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_g_2))) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_wf__empty,axiom, % 208.85/209.51 ! [T_b] : c_Wellfounded_Owf(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ). % 208.85/209.51 % 208.85/209.51 fof(fact_wf__lex__prod,axiom, % 208.85/209.51 ! [V_rb_2,T_c,V_ra_2,T_b] : % 208.85/209.51 ( c_Wellfounded_Owf(T_b,V_ra_2) % 208.85/209.51 => ( c_Wellfounded_Owf(T_c,V_rb_2) % 208.85/209.51 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_ra_2,V_rb_2)) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_wf__measure,axiom, % 208.85/209.51 ! [V_f_2,T_b] : c_Wellfounded_Owf(T_b,hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)) ). % 208.85/209.51 % 208.85/209.51 fof(fact_IdI,axiom, % 208.85/209.51 ! [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))) ). % 208.85/209.51 % 208.85/209.51 fof(fact_nat__mult__assoc,axiom, % 208.85/209.51 ! [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)) ). % 208.85/209.51 % 208.85/209.51 fof(fact_nat__mult__commute,axiom, % 208.85/209.51 ! [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) ). % 208.85/209.51 % 208.85/209.51 fof(fact_wf__pair__less,axiom, % 208.85/209.51 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 208.85/209.51 % 208.85/209.51 fof(fact_Id__def,axiom, % 208.85/209.51 ! [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))))) ). % 208.85/209.51 % 208.85/209.51 fof(fact_wf__subset,axiom, % 208.85/209.51 ! [V_p_2,V_r_2,T_b] : % 208.85/209.51 ( c_Wellfounded_Owf(T_b,V_r_2) % 208.85/209.51 => ( 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)) % 208.85/209.51 => c_Wellfounded_Owf(T_b,V_p_2) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_wf__Int2,axiom, % 208.85/209.51 ! [V_r_H_2,V_r_2,T_b] : % 208.85/209.51 ( c_Wellfounded_Owf(T_b,V_r_2) % 208.85/209.51 => 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)) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_wf__Int1,axiom, % 208.85/209.51 ! [V_r_H_2,V_r_2,T_b] : % 208.85/209.51 ( c_Wellfounded_Owf(T_b,V_r_2) % 208.85/209.51 => 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)) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_Image__Id,axiom, % 208.85/209.51 ! [V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId(T_b)),V_A_2) = V_A_2 ). % 208.85/209.51 % 208.85/209.51 fof(fact_DomainP_Oequations,axiom, % 208.85/209.51 ! [V_a1_2,V_r_2,T_c,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a1_2)) % 208.85/209.51 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_wf__mlex,axiom, % 208.85/209.51 ! [V_f_2,V_R_2,T_b] : % 208.85/209.51 ( c_Wellfounded_Owf(T_b,V_R_2) % 208.85/209.51 => c_Wellfounded_Owf(T_b,c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2)) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_wf__irrefl,axiom, % 208.85/209.51 ! [V_a_2,V_r_2,T_b] : % 208.85/209.51 ( c_Wellfounded_Owf(T_b,V_r_2) % 208.85/209.51 => ~ 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)) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_wf__asym,axiom, % 208.85/209.51 ! [V_x_2,V_a_2,V_r_2,T_b] : % 208.85/209.51 ( c_Wellfounded_Owf(T_b,V_r_2) % 208.85/209.51 => ( 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)) % 208.85/209.51 => ~ 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)) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_wf__not__sym,axiom, % 208.85/209.51 ! [V_x_2,V_a_2,V_r_2,T_b] : % 208.85/209.51 ( c_Wellfounded_Owf(T_b,V_r_2) % 208.85/209.51 => ( 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)) % 208.85/209.51 => ~ 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)) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_wf__not__refl,axiom, % 208.85/209.51 ! [V_a_2,V_r_2,T_b] : % 208.85/209.51 ( c_Wellfounded_Owf(T_b,V_r_2) % 208.85/209.51 => ~ 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)) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_pair__lessI1,axiom, % 208.85/209.51 ! [V_t_2,V_s_2,V_ba_2,V_a_2] : % 208.85/209.51 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_ba_2)) % 208.85/209.51 => 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)) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_pair__in__Id__conv,axiom, % 208.85/209.51 ! [V_ba_2,V_a_2,T_b] : % 208.85/209.51 ( 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))) % 208.85/209.51 <=> V_a_2 = V_ba_2 ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_Domain__Id,axiom, % 208.85/209.51 ! [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)) ). % 208.85/209.51 % 208.85/209.51 fof(fact_Range__Id,axiom, % 208.85/209.51 ! [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)) ). % 208.85/209.51 % 208.85/209.51 fof(fact_wfE__pf,axiom, % 208.85/209.51 ! [V_A_2,V_R_2,T_b] : % 208.85/209.51 ( c_Wellfounded_Owf(T_b,V_R_2) % 208.85/209.51 => ( 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))) % 208.85/209.51 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_total__on__diff__Id,axiom, % 208.85/209.51 ! [V_r_2,V_A_2,T_b] : % 208.85/209.51 ( 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))) % 208.85/209.51 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_reflcl__set__eq,axiom, % 208.85/209.51 ! [V_y_2,V_x_2,V_r_2,T_b] : % 208.85/209.51 ( 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)) % 208.85/209.51 <=> 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)))) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_pair__leqI2,axiom, % 208.85/209.51 ! [V_t_2,V_s_2,V_ba_2,V_a_2] : % 208.85/209.51 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_ba_2)) % 208.85/209.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_t_2)) % 208.85/209.51 => 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)) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_smax__insertI,axiom, % 208.85/209.51 ! [V_X_2,V_x_2,V_Y_2,V_y_2] : % 208.85/209.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2)) % 208.85/209.51 => ( 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)) % 208.85/209.51 => ( 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)) % 208.85/209.51 => 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)) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_smin__insertI,axiom, % 208.85/209.51 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] : % 208.85/209.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2)) % 208.85/209.51 => ( 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)) % 208.85/209.51 => ( 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)) % 208.85/209.51 => 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)) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_pair__leqI1,axiom, % 208.85/209.51 ! [V_t_2,V_s_2,V_ba_2,V_a_2] : % 208.85/209.51 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_ba_2)) % 208.85/209.51 => 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)) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_wfI__pf,axiom, % 208.85/209.51 ! [V_R_2,T_b] : % 208.85/209.51 ( ! [B_A] : % 208.85/209.51 ( 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))) % 208.85/209.51 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) % 208.85/209.51 => c_Wellfounded_Owf(T_b,V_R_2) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_wfP__wf__eq,axiom, % 208.85/209.51 ! [V_r_2,T_b] : % 208.85/209.51 ( 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)) % 208.85/209.51 <=> c_Wellfounded_Owf(T_b,V_r_2) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_IdE,axiom, % 208.85/209.51 ! [V_p_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Relation_OId(T_b))) % 208.85/209.51 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_wfP__empty,axiom, % 208.85/209.51 ! [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))) ). % 208.85/209.51 % 208.85/209.51 fof(fact_smin__emptyI,axiom, % 208.85/209.51 ! [V_X_2] : % 208.85/209.51 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)) % 208.85/209.51 => 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)) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_wfP__subset,axiom, % 208.85/209.51 ! [V_p_2,V_r_2,T_b] : % 208.85/209.51 ( c_Wellfounded_OwfP(T_b,V_r_2) % 208.85/209.51 => ( 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)) % 208.85/209.51 => c_Wellfounded_OwfP(T_b,V_p_2) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_pair__leq__def,axiom, % 208.85/209.51 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))) ). % 208.85/209.51 % 208.85/209.51 fof(fact_wf__in__rel,axiom, % 208.85/209.51 ! [V_R_2,T_b] : % 208.85/209.51 ( c_Wellfounded_Owf(T_b,V_R_2) % 208.85/209.51 => c_Wellfounded_OwfP(T_b,c_FunDef_Oin__rel(T_b,T_b,V_R_2)) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_wmin__insertI,axiom, % 208.85/209.51 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] : % 208.85/209.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2)) % 208.85/209.51 => ( 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)) % 208.85/209.51 => ( 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)) % 208.85/209.51 => 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)) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_wmax__insertI,axiom, % 208.85/209.51 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] : % 208.85/209.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2)) % 208.85/209.51 => ( 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)) % 208.85/209.51 => ( 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)) % 208.85/209.51 => 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)) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_wmin__emptyI,axiom, % 208.85/209.51 ! [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)) ). % 208.85/209.51 % 208.85/209.51 fof(fact_min__strict__def,axiom, % 208.85/209.51 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 208.85/209.51 % 208.85/209.51 fof(fact_less__than__iff,axiom, % 208.85/209.51 ! [V_y_2,V_x_2] : % 208.85/209.51 ( 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)) % 208.85/209.51 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_wf__same__fst,axiom, % 208.85/209.51 ! [T_b,V_R_2,T_c,V_Pa_2] : % 208.85/209.51 ( ! [B_x] : % 208.85/209.51 ( hBOOL(hAPP(V_Pa_2,B_x)) % 208.85/209.51 => c_Wellfounded_Owf(T_c,hAPP(V_R_2,B_x)) ) % 208.85/209.51 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Recdef_Osame__fst(T_b,T_c,V_Pa_2,V_R_2)) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_max__ext__additive,axiom, % 208.85/209.51 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_b] : % 208.85/209.51 ( 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))) % 208.85/209.51 => ( 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))) % 208.85/209.51 => 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))) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_wfP__SUP,axiom, % 208.85/209.51 ! [T_b,V_r_2,T_c] : % 208.85/209.51 ( ! [B_i] : c_Wellfounded_OwfP(T_c,hAPP(V_r_2,B_i)) % 208.85/209.51 => ( ! [B_i,B_j] : % 208.85/209.51 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j) % 208.85/209.51 => 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)) ) % 208.85/209.51 => 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)) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_wf__less__than,axiom, % 208.85/209.51 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ). % 208.85/209.51 % 208.85/209.51 fof(fact_max__ext__wf,axiom, % 208.85/209.51 ! [V_r_2,T_b] : % 208.85/209.51 ( c_Wellfounded_Owf(T_b,V_r_2) % 208.85/209.51 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_b,V_r_2)) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_max__weak__def,axiom, % 208.85/209.51 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)))) ). % 208.85/209.51 % 208.85/209.51 fof(fact_pair__less__def,axiom, % 208.85/209.51 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ). % 208.85/209.51 % 208.85/209.51 fof(fact_min__weak__def,axiom, % 208.85/209.51 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)))) ). % 208.85/209.51 % 208.85/209.51 fof(fact_min__ext__wf,axiom, % 208.85/209.51 ! [V_r_2,T_b] : % 208.85/209.51 ( c_Wellfounded_Owf(T_b,V_r_2) % 208.85/209.51 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_b,V_r_2)) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_max__strict__def,axiom, % 208.85/209.51 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 208.85/209.51 % 208.85/209.51 fof(fact_max__extp__max__ext__eq,axiom, % 208.85/209.51 ! [V_xa_2,V_x_2,V_R_2,T_b] : % 208.85/209.51 ( 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) % 208.85/209.51 <=> 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))) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_mlex__prod__def,axiom, % 208.85/209.51 ! [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))) ). % 208.85/209.51 % 208.85/209.51 fof(fact_min__rpair__set,axiom, % 208.85/209.51 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)) ). % 208.85/209.51 % 208.85/209.51 fof(fact_max__rpair__set,axiom, % 208.85/209.51 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)) ). % 208.85/209.51 % 208.85/209.51 fof(fact_wmax__emptyI,axiom, % 208.85/209.51 ! [V_X_2] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2)) % 208.85/209.51 => 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)) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_smax__emptyI,axiom, % 208.85/209.51 ! [V_Y_2] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2)) % 208.85/209.51 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)) % 208.85/209.51 => 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)) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_measure__def,axiom, % 208.85/209.51 ! [T_b] : c_Wellfounded_Omeasure(T_b) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_b),c_Wellfounded_Oless__than) ). % 208.85/209.51 % 208.85/209.51 fof(fact_wf__eq__minimal,axiom, % 208.85/209.51 ! [V_r_2,T_b] : % 208.85/209.51 ( c_Wellfounded_Owf(T_b,V_r_2) % 208.85/209.51 <=> ! [B_Q] : % 208.85/209.51 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q)) % 208.85/209.51 => ? [B_x] : % 208.85/209.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q)) % 208.85/209.51 & ! [B_y] : % 208.85/209.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_r_2)) % 208.85/209.51 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_y),B_Q)) ) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite_OemptyI,axiom, % 208.85/209.51 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite_OinsertI,axiom, % 208.85/209.51 ! [V_a_2,V_A_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__imageI,axiom, % 208.85/209.51 ! [V_h_2,T_c,V_F_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 208.85/209.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_F_2))) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__Int,axiom, % 208.85/209.51 ! [V_Ga_2,V_F_2,T_b] : % 208.85/209.51 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 208.85/209.51 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) ) % 208.85/209.51 => 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))) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__Diff,axiom, % 208.85/209.51 ! [V_B_2,V_A_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => 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))) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__Inter,axiom, % 208.85/209.51 ! [V_M_2,T_b] : % 208.85/209.51 ( ? [B_x] : % 208.85/209.51 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_M_2)) % 208.85/209.51 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) ) % 208.85/209.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_M_2))) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__Collect__conjI,axiom, % 208.85/209.51 ! [V_Q_2,V_Pa_2,T_b] : % 208.85/209.51 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 208.85/209.51 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) ) % 208.85/209.51 => 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)))) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_wf__inv__image,axiom, % 208.85/209.51 ! [V_f_2,T_c,V_r_2,T_b] : % 208.85/209.51 ( c_Wellfounded_Owf(T_b,V_r_2) % 208.85/209.51 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__Collect__subsets,axiom, % 208.85/209.51 ! [V_A_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => 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)))) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__Plus__UNIV__iff,axiom, % 208.85/209.51 ! [T_c,T_b] : % 208.85/209.51 ( 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)))) % 208.85/209.51 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 208.85/209.51 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__option__UNIV,axiom, % 208.85/209.51 ! [T_b] : % 208.85/209.51 ( 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)))) % 208.85/209.51 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__Prod__UNIV,axiom, % 208.85/209.51 ! [T_c,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) % 208.85/209.51 => 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)))) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__Field,axiom, % 208.85/209.51 ! [V_r_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 208.85/209.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_OField(T_b),V_r_2))) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__code,axiom, % 208.85/209.51 ! [V_A_2,T_b] : % 208.85/209.51 ( class_Finite__Set_Ofinite(T_b) % 208.85/209.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite,axiom, % 208.85/209.51 ! [V_A_2,T_b] : % 208.85/209.51 ( class_Finite__Set_Ofinite(T_b) % 208.85/209.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__Pow__iff,axiom, % 208.85/209.51 ! [V_A_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2))) % 208.85/209.51 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__Range,axiom, % 208.85/209.51 ! [V_r_2,T_c,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2)) % 208.85/209.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__Domain,axiom, % 208.85/209.51 ! [V_r_2,T_c,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2)) % 208.85/209.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite_Oequations_I1_J,axiom, % 208.85/209.51 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__insert,axiom, % 208.85/209.51 ! [V_A_2,V_a_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) % 208.85/209.51 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__fun__UNIVD2,axiom, % 208.85/209.51 ! [T_c,T_b] : % 208.85/209.51 ( 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)))) % 208.85/209.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_rev__finite__subset,axiom, % 208.85/209.51 ! [V_A_2,V_B_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 208.85/209.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__subset,axiom, % 208.85/209.51 ! [V_B_2,V_A_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 208.85/209.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__UNIV,axiom, % 208.85/209.51 ! [T_b] : % 208.85/209.51 ( class_Finite__Set_Ofinite(T_b) % 208.85/209.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__UnI,axiom, % 208.85/209.51 ! [V_Ga_2,V_F_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) % 208.85/209.51 => 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))) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__Un,axiom, % 208.85/209.51 ! [V_Ga_2,V_F_2,T_b] : % 208.85/209.51 ( 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))) % 208.85/209.51 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 208.85/209.51 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__Diff2,axiom, % 208.85/209.51 ! [V_A_2,V_B_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 208.85/209.51 => ( 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))) % 208.85/209.51 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__UN,axiom, % 208.85/209.51 ! [V_B_2,T_c,V_A_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => ( 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))) % 208.85/209.51 <=> ! [B_x] : % 208.85/209.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 208.85/209.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_bij__betw__finite,axiom, % 208.85/209.51 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 208.85/209.51 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_fold__graph__imp__finite,axiom, % 208.85/209.51 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2)) % 208.85/209.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_nat__seg__image__imp__finite,axiom, % 208.85/209.51 ! [V_n_2,V_f_2,T_b,V_A_2] : % 208.85/209.51 ( 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))) % 208.85/209.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__Collect__disjI,axiom, % 208.85/209.51 ! [V_Q_2,V_Pa_2,T_b] : % 208.85/209.51 ( 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)))) % 208.85/209.51 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 208.85/209.51 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__surj,axiom, % 208.85/209.51 ! [V_f_2,V_B_2,T_c,V_A_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => ( 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))) % 208.85/209.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__Diff__insert,axiom, % 208.85/209.51 ! [V_B_2,V_a_2,V_A_2,T_b] : % 208.85/209.51 ( 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)))) % 208.85/209.51 <=> 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))) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__imageD,axiom, % 208.85/209.51 ! [V_A_2,V_f_2,T_c,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 208.85/209.51 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) % 208.85/209.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__compl,axiom, % 208.85/209.51 ! [V_A_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) % 208.85/209.51 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__Collect__bounded__ex,axiom, % 208.85/209.51 ! [V_Q_2,T_c,V_Pa_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 208.85/209.51 => ( 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))))) % 208.85/209.51 <=> ! [B_y] : % 208.85/209.51 ( hBOOL(hAPP(V_Pa_2,B_y)) % 208.85/209.51 => 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)))) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__image__set,axiom, % 208.85/209.51 ! [V_f_2,T_c,V_Pa_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 208.85/209.51 => 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))))) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__Collect__not,axiom, % 208.85/209.51 ! [V_Pa_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 208.85/209.51 => ( 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)))) % 208.85/209.51 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__range__imageI,axiom, % 208.85/209.51 ! [V_f_2,T_d,V_g_2,T_c,T_b] : % 208.85/209.51 ( 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))))) % 208.85/209.51 => 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))))) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_endo__inj__surj,axiom, % 208.85/209.51 ! [V_f_2,V_A_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => ( 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)) % 208.85/209.51 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) % 208.85/209.51 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2) = V_A_2 ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__surj__inj,axiom, % 208.85/209.51 ! [V_f_2,V_A_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => ( 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))) % 208.85/209.51 => c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__UNIV__surj__inj,axiom, % 208.85/209.51 ! [V_f_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 208.85/209.51 => ( 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)) % 208.85/209.51 => c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__UNIV__inj__surj,axiom, % 208.85/209.51 ! [V_f_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 208.85/209.51 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 208.85/209.51 => 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)) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__vimageD,axiom, % 208.85/209.51 ! [V_F_2,V_h_2,T_c,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2))) % 208.85/209.51 => ( 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)) % 208.85/209.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__vimageI,axiom, % 208.85/209.51 ! [V_h_2,T_c,V_F_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 208.85/209.51 => ( c_Fun_Oinj__on(T_c,T_b,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 208.85/209.51 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Ovimage(T_c,T_b,V_h_2),V_F_2))) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__vimage__iff,axiom, % 208.85/209.51 ! [V_F_2,V_h_2,T_c,T_b] : % 208.85/209.51 ( 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))) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2))) % 208.85/209.51 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_in__inv__image,axiom, % 208.85/209.51 ! [V_f_2,V_r_2,T_c,V_y_2,V_x_2,T_b] : % 208.85/209.51 ( 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))) % 208.85/209.51 <=> 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)) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_in__finite__psubset,axiom, % 208.85/209.51 ! [V_B_2,V_A_2,T_b] : % 208.85/209.51 ( 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))) % 208.85/209.51 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.51 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding_Oremove,axiom, % 208.85/209.51 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.51 => 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)) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding__image__simple_Oremove,axiom, % 208.85/209.51 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 208.85/209.51 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 208.85/209.51 => 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)))))) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding__one_Oremove,axiom, % 208.85/209.51 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.51 => ( ( 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)) % 208.85/209.51 => hAPP(V_F_2,V_A_2) = V_x_2 ) % 208.85/209.51 & ( 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)) % 208.85/209.51 => 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)))))) ) ) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding__image_Oreindex,axiom, % 208.85/209.51 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 208.85/209.51 => ( c_Fun_Oinj__on(T_c,T_c,V_h_2,V_A_2) % 208.85/209.51 => 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) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding_Ounion,axiom, % 208.85/209.51 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 208.85/209.51 => ( 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)) % 208.85/209.51 => 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)) ) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding_Oinsert__remove,axiom, % 208.85/209.51 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => 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)) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding__image__simple_Ounion__disjoint,axiom, % 208.85/209.51 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 208.85/209.51 => ( 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)) % 208.85/209.51 => 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)) ) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__Collect__less__nat,axiom, % 208.85/209.51 ! [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)))) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__Collect__le__nat,axiom, % 208.85/209.51 ! [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)))) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding_Ocommute__left__comp,axiom, % 208.85/209.51 ! [V_g_2,V_x_2,V_y_2,T_d,V_F_2,V_f_2,T_c,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 208.85/209.51 => 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)) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding_Ocommute__comp,axiom, % 208.85/209.51 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_c,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 208.85/209.51 => 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)) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding_Ocommute__comps_I1_J,axiom, % 208.85/209.51 ! [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] : % 208.85/209.51 ( c_Finite__Set_Ofolding(T_b,T_c,V_fa_2,V_F_2) % 208.85/209.51 => 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) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding__image__simple_Oempty,axiom, % 208.85/209.51 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 208.85/209.51 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding__image_Odistrib,axiom, % 208.85/209.51 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 208.85/209.51 => 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)) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding_Ocommute__comp_H,axiom, % 208.85/209.51 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => 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)) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding_Ocommute__left__comp_H,axiom, % 208.85/209.51 ! [V_g_2,V_x_2,T_d,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => 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)) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding_Ocommute__comp_H_H,axiom, % 208.85/209.51 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 208.85/209.51 => 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)) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding_Ocommute__left__comp_H_H,axiom, % 208.85/209.51 ! [V_g_2,T_d,V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 208.85/209.51 => 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)) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding_Oempty,axiom, % 208.85/209.51 ! [V_F_2,V_f_2,T_c,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 208.85/209.51 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Fun_Oid(T_c) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding__one_Osingleton,axiom, % 208.85/209.51 ! [V_x_2,V_F_2,V_f_2,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 208.85/209.51 => 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 ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding__image__simple_Oinsert,axiom, % 208.85/209.51 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 208.85/209.51 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 208.85/209.51 => 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)) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding__image__simple_Ounion__inter,axiom, % 208.85/209.51 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 208.85/209.51 => 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)) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_wf__finite__psubset,axiom, % 208.85/209.51 ! [T_b] : c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding_Oinsert,axiom, % 208.85/209.51 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.51 => 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)) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding_Ounion__inter,axiom, % 208.85/209.51 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 208.85/209.51 => 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)) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding__one_Oinsert,axiom, % 208.85/209.51 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.51 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.51 => 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)) ) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding__one_Oinsert__remove,axiom, % 208.85/209.51 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => ( ( 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)) % 208.85/209.51 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 208.85/209.51 & ( 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)) % 208.85/209.51 => 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)))))) ) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding__image__simple_Oinsert__remove,axiom, % 208.85/209.51 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 208.85/209.51 => 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)))))) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding__one_Ounion__inter,axiom, % 208.85/209.51 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 208.85/209.51 => ( 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)) % 208.85/209.51 => 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)) ) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding__one_Ounion__disjoint,axiom, % 208.85/209.51 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 208.85/209.51 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.51 => ( 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)) % 208.85/209.51 => 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)) ) ) ) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__M__bounded__by__nat,axiom, % 208.85/209.51 ! [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))))) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding__idem_Ounion__idem,axiom, % 208.85/209.51 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 208.85/209.51 => 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)) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding__idem_Osubset__comp__idem,axiom, % 208.85/209.51 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 208.85/209.51 => 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) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding__idem_Oinsert__idem,axiom, % 208.85/209.51 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => 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)) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding__one_Oclosed,axiom, % 208.85/209.51 ! [V_A_2,V_F_2,V_f_2,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.51 => ( ! [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)))))) % 208.85/209.51 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding__idem_Oin__comp__idem,axiom, % 208.85/209.51 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.51 => 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) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_rp__inv__image__rp,axiom, % 208.85/209.51 ! [V_f_2,T_c,V_Pa_2,T_b] : % 208.85/209.51 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2) % 208.85/209.51 => c_FunDef_Oreduction__pair(T_c,hAPP(hAPP(c_FunDef_Orp__inv__image(T_b,T_c),V_Pa_2),V_f_2)) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_infinite__UNIV__nat,axiom, % 208.85/209.51 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding__idem_Oidem__comp,axiom, % 208.85/209.51 ! [V_x_2,V_F_2,V_f_2,T_c,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 208.85/209.51 => 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) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding__idem_Oidem__left__comp,axiom, % 208.85/209.51 ! [V_g_2,V_x_2,T_d,V_F_2,V_f_2,T_c,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 208.85/209.51 => 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) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__nat__set__iff__bounded,axiom, % 208.85/209.51 ! [V_N_2] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2)) % 208.85/209.51 <=> ? [B_m] : % 208.85/209.51 ! [B_x] : % 208.85/209.51 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 208.85/209.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__nat__set__iff__bounded__le,axiom, % 208.85/209.51 ! [V_N_2] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2)) % 208.85/209.51 <=> ? [B_m] : % 208.85/209.51 ! [B_x] : % 208.85/209.51 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 208.85/209.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_ord_OatMost__iff,axiom, % 208.85/209.51 ! [V_k_2,V_less__eq_2,V_i_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatMost(T_b,V_less__eq_2,V_k_2))) % 208.85/209.51 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_ord_OatLeast__iff,axiom, % 208.85/209.51 ! [V_k_2,V_less__eq_2,V_i_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeast(T_b,V_less__eq_2,V_k_2))) % 208.85/209.51 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_ord_OlessThan__iff,axiom, % 208.85/209.51 ! [V_k_2,V_less_2,V_i_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OlessThan(T_b,V_less_2,V_k_2))) % 208.85/209.51 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_ord_OgreaterThan__iff,axiom, % 208.85/209.51 ! [V_k_2,V_less_2,V_i_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThan(T_b,V_less_2,V_k_2))) % 208.85/209.51 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_ord_OatLeastAtMost__iff,axiom, % 208.85/209.51 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_b] : % 208.85/209.51 ( 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))) % 208.85/209.51 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2)) % 208.85/209.51 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_ord_OgreaterThanLessThan__iff,axiom, % 208.85/209.51 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_b] : % 208.85/209.51 ( 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))) % 208.85/209.51 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2)) % 208.85/209.51 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_ord_OatLeastLessThan__iff,axiom, % 208.85/209.51 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] : % 208.85/209.51 ( 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))) % 208.85/209.51 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2)) % 208.85/209.51 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_ord_OgreaterThanAtMost__iff,axiom, % 208.85/209.51 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] : % 208.85/209.51 ( 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))) % 208.85/209.51 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2)) % 208.85/209.51 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__empty__induct,axiom, % 208.85/209.51 ! [V_Pa_2,V_A_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => ( hBOOL(hAPP(V_Pa_2,V_A_2)) % 208.85/209.51 => ( ! [B_a,B_A] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_A)) % 208.85/209.51 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) % 208.85/209.51 => ( hBOOL(hAPP(V_Pa_2,B_A)) % 208.85/209.51 => 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)))))) ) ) ) % 208.85/209.51 => hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding__one__idem_Ounion__idem,axiom, % 208.85/209.51 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 208.85/209.51 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.51 => 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)) ) ) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__subset__induct,axiom, % 208.85/209.51 ! [V_Pa_2,V_A_2,V_F_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 208.85/209.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_A_2)) % 208.85/209.51 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 208.85/209.51 => ( ! [B_a,B_F] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F)) % 208.85/209.51 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 208.85/209.51 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_F)) % 208.85/209.51 => ( hBOOL(hAPP(V_Pa_2,B_F)) % 208.85/209.51 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_F))) ) ) ) ) % 208.85/209.51 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding__one__idem_Osubset__idem,axiom, % 208.85/209.51 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 208.85/209.51 => 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) ) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_reduction__pairI,axiom, % 208.85/209.51 ! [V_S_2,V_R_2,T_b] : % 208.85/209.51 ( c_Wellfounded_Owf(T_b,V_R_2) % 208.85/209.51 => ( 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)) % 208.85/209.51 => 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)) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding__one__idem_Oinsert__idem,axiom, % 208.85/209.51 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.51 => 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)) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_rel__compI,axiom, % 208.85/209.51 ! [V_s_2,V_ca_2,T_d,V_r_2,V_ba_2,V_a_2,T_c,T_b] : % 208.85/209.51 ( 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)) % 208.85/209.51 => ( 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)) % 208.85/209.51 => 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))) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_O__assoc,axiom, % 208.85/209.51 ! [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)) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding__one__idem_Oidem,axiom, % 208.85/209.51 ! [V_x_2,V_F_2,V_f_2,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 208.85/209.51 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_wf__comp__self,axiom, % 208.85/209.51 ! [V_R_2,T_b] : % 208.85/209.51 ( c_Wellfounded_Owf(T_b,V_R_2) % 208.85/209.51 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_rel__comp__mono,axiom, % 208.85/209.51 ! [V_s_2,V_s_H_2,T_d,V_r_2,V_r_H_2,T_c,T_b] : % 208.85/209.51 ( 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)) % 208.85/209.51 => ( 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)) % 208.85/209.51 => 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))) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_rel__comp__empty2,axiom, % 208.85/209.51 ! [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)) ). % 208.85/209.51 % 208.85/209.51 fof(fact_rel__comp__empty1,axiom, % 208.85/209.51 ! [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)) ). % 208.85/209.51 % 208.85/209.51 fof(fact_rel__comp__distrib,axiom, % 208.85/209.51 ! [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)) ). % 208.85/209.51 % 208.85/209.51 fof(fact_rel__comp__distrib2,axiom, % 208.85/209.51 ! [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)) ). % 208.85/209.51 % 208.85/209.51 fof(fact_R__O__Id,axiom, % 208.85/209.51 ! [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 ). % 208.85/209.51 % 208.85/209.51 fof(fact_Id__O__R,axiom, % 208.85/209.51 ! [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 ). % 208.85/209.51 % 208.85/209.51 fof(fact_rel__comp__UNION__distrib2,axiom, % 208.85/209.51 ! [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)) ). % 208.85/209.51 % 208.85/209.51 fof(fact_rel__comp__UNION__distrib,axiom, % 208.85/209.51 ! [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)) ). % 208.85/209.51 % 208.85/209.51 fof(fact_wf__no__loop,axiom, % 208.85/209.51 ! [V_R_2,T_b] : % 208.85/209.51 ( 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)) % 208.85/209.51 => c_Wellfounded_Owf(T_b,V_R_2) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_wf__union__merge,axiom, % 208.85/209.51 ! [V_S_2,V_R_2,T_b] : % 208.85/209.51 ( 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)) % 208.85/209.51 <=> 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)) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_union__comp__emptyR,axiom, % 208.85/209.51 ! [V_C_2,V_B_2,V_A_2,T_b] : % 208.85/209.51 ( 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)) % 208.85/209.51 => ( 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)) % 208.85/209.51 => 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)) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_union__comp__emptyL,axiom, % 208.85/209.51 ! [V_B_2,V_C_2,V_A_2,T_b] : % 208.85/209.51 ( 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)) % 208.85/209.51 => ( 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)) % 208.85/209.51 => 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)) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_wf__union__compatible,axiom, % 208.85/209.51 ! [V_S_2,V_R_2,T_b] : % 208.85/209.51 ( c_Wellfounded_Owf(T_b,V_R_2) % 208.85/209.51 => ( c_Wellfounded_Owf(T_b,V_S_2) % 208.85/209.51 => ( 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)) % 208.85/209.51 => 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)) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding__one__idem_Oin__idem,axiom, % 208.85/209.51 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.51 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_max__ext__compat,axiom, % 208.85/209.51 ! [V_S_2,V_R_2,T_b] : % 208.85/209.51 ( 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)) % 208.85/209.51 => 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))) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_min__ext__compat,axiom, % 208.85/209.51 ! [V_S_2,V_R_2,T_b] : % 208.85/209.51 ( 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)) % 208.85/209.51 => 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))) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_pred__comp__rel__comp__eq,axiom, % 208.85/209.51 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_d,T_c,T_b] : % 208.85/209.51 ( 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)) % 208.85/209.51 <=> 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))) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_finite__conv__nat__seg__image,axiom, % 208.85/209.51 ! [V_A_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 <=> ? [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))) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_rp__inv__image__def,axiom, % 208.85/209.51 ! [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))) ). % 208.85/209.51 % 208.85/209.51 fof(fact_max__extp_Oequations,axiom, % 208.85/209.51 ! [V_a2_2,V_a1_2,V_R_2,T_b] : % 208.85/209.51 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2) % 208.85/209.51 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2)) % 208.85/209.51 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2)) % 208.85/209.51 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.51 & ! [B_x] : % 208.85/209.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2)) % 208.85/209.51 => ? [B_xa] : % 208.85/209.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2)) % 208.85/209.51 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_max__ext_Ointros,axiom, % 208.85/209.51 ! [V_R_2,V_Y_2,V_X_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2)) % 208.85/209.51 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.51 => ( ! [B_x] : % 208.85/209.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2)) % 208.85/209.51 => ? [B_xa] : % 208.85/209.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2)) % 208.85/209.51 & 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)) ) ) % 208.85/209.51 => 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))) ) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_fold1__Un,axiom, % 208.85/209.51 ! [V_B_2,V_A_2,T_b] : % 208.85/209.51 ( class_Groups_Oab__semigroup__mult(T_b) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 208.85/209.51 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.51 => ( 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)) % 208.85/209.51 => 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)) ) ) ) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_card__Diff2__less,axiom, % 208.85/209.51 ! [V_y_2,V_x_2,V_A_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.51 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 208.85/209.51 => 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))) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_pred__comp_Ointros,axiom, % 208.85/209.51 ! [T_d,T_c,T_b,V_ca_2,V_s_2,V_ba_2,V_a_2,V_r_2] : % 208.85/209.51 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_ba_2)) % 208.85/209.51 => ( hBOOL(hAPP(hAPP(V_s_2,V_ba_2),V_ca_2)) % 208.85/209.51 => 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)) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_pred__comp_Oequations,axiom, % 208.85/209.51 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_d,T_c,T_b] : % 208.85/209.51 ( 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)) % 208.85/209.51 <=> ? [B_b] : % 208.85/209.51 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b)) % 208.85/209.51 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_bij__betw__same__card,axiom, % 208.85/209.51 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 208.85/209.51 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 208.85/209.51 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom, % 208.85/209.51 ! [V_A_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 208.85/209.51 => ( 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))) % 208.85/209.51 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_card__image,axiom, % 208.85/209.51 ! [V_A_2,V_f_2,T_c,T_b] : % 208.85/209.51 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 208.85/209.51 => 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) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_BIJ,axiom, % 208.85/209.51 ! [V_B_2,T_c,V_A_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 208.85/209.51 => ( ? [B_f] : c_Fun_Obij__betw(T_b,T_c,B_f,V_A_2,V_B_2) % 208.85/209.51 <=> hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_fold1__singleton,axiom, % 208.85/209.51 ! [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 ). % 208.85/209.51 % 208.85/209.51 fof(fact_fold1__singleton__def,axiom, % 208.85/209.51 ! [V_a_2,V_f_2,T_b,V_g_2] : % 208.85/209.51 ( V_g_2 = c_Finite__Set_Ofold1(T_b,V_f_2) % 208.85/209.51 => 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 ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_folding__one_Oeq__fold,axiom, % 208.85/209.51 ! [V_A_2,V_F_2,V_f_2,T_b] : % 208.85/209.51 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_card__insert__le,axiom, % 208.85/209.51 ! [V_x_2,V_A_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => 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)))) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_card__mono,axiom, % 208.85/209.51 ! [V_A_2,V_B_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 208.85/209.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.51 => 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))) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_card__seteq,axiom, % 208.85/209.51 ! [V_A_2,V_B_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 208.85/209.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.51 => ( 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))) % 208.85/209.51 => V_A_2 = V_B_2 ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_card__image__le,axiom, % 208.85/209.51 ! [V_f_2,T_c,V_A_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => 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))) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_inj__on__iff__eq__card,axiom, % 208.85/209.51 ! [V_f_2,T_c,V_A_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 208.85/209.51 <=> 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) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_eq__card__imp__inj__on,axiom, % 208.85/209.51 ! [V_f_2,T_c,V_A_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => ( 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) % 208.85/209.51 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_pigeonhole,axiom, % 208.85/209.51 ! [V_A_2,V_f_2,T_c,T_b] : % 208.85/209.51 ( 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))) % 208.85/209.51 => ~ c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_card__quotient__disjoint,axiom, % 208.85/209.51 ! [V_r_2,V_A_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => ( 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) % 208.85/209.51 => 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) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_psubset__card__mono,axiom, % 208.85/209.51 ! [V_A_2,V_B_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 208.85/209.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.51 => 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))) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_fold1__def,axiom, % 208.85/209.51 ! [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)) ). % 208.85/209.51 % 208.85/209.51 fof(fact_card__bij__eq,axiom, % 208.85/209.51 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 208.85/209.51 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 208.85/209.51 => ( 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)) % 208.85/209.51 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2) % 208.85/209.51 => ( 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)) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 208.85/209.51 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_card__Diff__subset,axiom, % 208.85/209.51 ! [V_A_2,V_B_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 208.85/209.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 208.85/209.51 => 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)) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_card__Diff__subset__Int,axiom, % 208.85/209.51 ! [V_B_2,V_A_2,T_b] : % 208.85/209.51 ( 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))) % 208.85/209.51 => 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))) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_diff__card__le__card__Diff,axiom, % 208.85/209.51 ! [V_A_2,V_B_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 208.85/209.51 => 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)))) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_card__psubset,axiom, % 208.85/209.51 ! [V_A_2,V_B_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 208.85/209.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 208.85/209.51 => ( 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))) % 208.85/209.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_fold1__insert__idem,axiom, % 208.85/209.51 ! [V_x_2,V_A_2,T_b] : % 208.85/209.51 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 208.85/209.51 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => 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)) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_fold1__Un2,axiom, % 208.85/209.51 ! [V_B_2,V_A_2,T_b] : % 208.85/209.51 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.51 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 208.85/209.51 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.51 => 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)) ) ) ) ) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_card__Diff1__le,axiom, % 208.85/209.51 ! [V_x_2,V_A_2,T_b] : % 208.85/209.51 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.51 => 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))) ) ). % 208.85/209.51 % 208.85/209.51 fof(fact_card__inj__on__le,axiom, % 208.85/209.51 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 208.85/209.51 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 208.85/209.52 => ( 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)) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 208.85/209.52 => 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))) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_inj__on__iff__card__le,axiom, % 208.85/209.52 ! [V_B_2,T_c,V_A_2,T_b] : % 208.85/209.52 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 208.85/209.52 => ( ? [B_f] : % 208.85/209.52 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2) % 208.85/209.52 & 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)) ) % 208.85/209.52 <=> 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))) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_fold1__insert,axiom, % 208.85/209.52 ! [V_x_2,V_A_2,T_b] : % 208.85/209.52 ( class_Groups_Oab__semigroup__mult(T_b) % 208.85/209.52 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.52 => 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)) ) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_card__Diff1__less,axiom, % 208.85/209.52 ! [V_x_2,V_A_2,T_b] : % 208.85/209.52 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.52 => 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))) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_pair__imageI,axiom, % 208.85/209.52 ! [V_f_2,T_d,V_A_2,V_ba_2,V_a_2,T_c,T_b] : % 208.85/209.52 ( 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)) % 208.85/209.52 => 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))) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_below__fold1__iff,axiom, % 208.85/209.52 ! [V_x_2,V_A_2,T_b] : % 208.85/209.52 ( class_Lattices_Osemilattice__inf(T_b) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.52 => ( 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))) % 208.85/209.52 <=> ! [B_x] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 208.85/209.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_fold1__belowI,axiom, % 208.85/209.52 ! [V_a_2,V_A_2,T_b] : % 208.85/209.52 ( class_Lattices_Osemilattice__inf(T_b) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 208.85/209.52 => 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)) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_split__eta,axiom, % 208.85/209.52 ! [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 ). % 208.85/209.52 % 208.85/209.52 fof(fact_fold1__in,axiom, % 208.85/209.52 ! [V_A_2,T_b] : % 208.85/209.52 ( class_Groups_Oab__semigroup__mult(T_b) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.52 => ( ! [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)))))) % 208.85/209.52 => 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)) ) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_card__Diff__singleton,axiom, % 208.85/209.52 ! [V_x_2,V_A_2,T_b] : % 208.85/209.52 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.52 => 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)) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_card__Diff__singleton__if,axiom, % 208.85/209.52 ! [V_x_2,V_A_2,T_b] : % 208.85/209.52 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.52 => 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)) ) % 208.85/209.52 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.52 => 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) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_prod__caseI,axiom, % 208.85/209.52 ! [T_c,T_b,V_ba_2,V_a_2,V_f1_2] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_ba_2)) % 208.85/209.52 => 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))) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_splitI,axiom, % 208.85/209.52 ! [T_c,T_b,V_ba_2,V_a_2,V_f_2] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_ba_2)) % 208.85/209.52 => 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))) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_mem__splitI,axiom, % 208.85/209.52 ! [T_d,T_c,V_ba_2,V_a_2,V_ca_2,V_z_2,T_b] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_ca_2,V_a_2),V_ba_2))) % 208.85/209.52 => 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)))) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_splitD,axiom, % 208.85/209.52 ! [V_ba_2,V_a_2,V_f_2,T_c,T_b] : % 208.85/209.52 ( 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))) % 208.85/209.52 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_ba_2)) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_splitD_H,axiom, % 208.85/209.52 ! [V_ca_2,V_ba_2,V_a_2,V_R_2,T_d,T_c,T_b] : % 208.85/209.52 ( 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)) % 208.85/209.52 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_ba_2),V_ca_2)) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_card__UNIV__unit,axiom, % 208.85/209.52 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) ). % 208.85/209.52 % 208.85/209.52 fof(fact_one__reorient,axiom, % 208.85/209.52 ! [V_x_2,T_b] : % 208.85/209.52 ( class_Groups_Oone(T_b) % 208.85/209.52 => ( c_Groups_Oone__class_Oone(T_b) = V_x_2 % 208.85/209.52 <=> V_x_2 = c_Groups_Oone__class_Oone(T_b) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_The__split__eq,axiom, % 208.85/209.52 ! [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) ). % 208.85/209.52 % 208.85/209.52 fof(fact_split__paired__The,axiom, % 208.85/209.52 ! [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)))) ). % 208.85/209.52 % 208.85/209.52 fof(fact_split__Pair,axiom, % 208.85/209.52 ! [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)) ). % 208.85/209.52 % 208.85/209.52 fof(fact_swap__inj__on,axiom, % 208.85/209.52 ! [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) ). % 208.85/209.52 % 208.85/209.52 fof(fact_mult_Ocomm__neutral,axiom, % 208.85/209.52 ! [V_a,T_a] : % 208.85/209.52 ( class_Groups_Ocomm__monoid__mult(T_a) % 208.85/209.52 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_mult__1__right,axiom, % 208.85/209.52 ! [V_a,T_a] : % 208.85/209.52 ( class_Groups_Omonoid__mult(T_a) % 208.85/209.52 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_mult__1,axiom, % 208.85/209.52 ! [V_a,T_a] : % 208.85/209.52 ( class_Groups_Ocomm__monoid__mult(T_a) % 208.85/209.52 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_mult__1__left,axiom, % 208.85/209.52 ! [V_a,T_a] : % 208.85/209.52 ( class_Groups_Omonoid__mult(T_a) % 208.85/209.52 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_nat__mult__1,axiom, % 208.85/209.52 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ). % 208.85/209.52 % 208.85/209.52 fof(fact_nat__1__eq__mult__iff,axiom, % 208.85/209.52 ! [V_n_2,V_m_2] : % 208.85/209.52 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) % 208.85/209.52 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 208.85/209.52 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_nat__mult__1__right,axiom, % 208.85/209.52 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ). % 208.85/209.52 % 208.85/209.52 fof(fact_nat__mult__eq__1__iff,axiom, % 208.85/209.52 ! [V_n_2,V_m_2] : % 208.85/209.52 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 208.85/209.52 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 208.85/209.52 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Id__on__def_H,axiom, % 208.85/209.52 ! [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)) ). % 208.85/209.52 % 208.85/209.52 fof(fact_less__1__mult,axiom, % 208.85/209.52 ! [V_n,V_m,T_a] : % 208.85/209.52 ( class_Rings_Olinordered__semidom(T_a) % 208.85/209.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m)) % 208.85/209.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n)) % 208.85/209.52 => 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))) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_square__eq__1__iff,axiom, % 208.85/209.52 ! [V_x_2,T_b] : % 208.85/209.52 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 208.85/209.52 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_b) % 208.85/209.52 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_b) % 208.85/209.52 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_wf__less,axiom, % 208.85/209.52 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)))) ). % 208.85/209.52 % 208.85/209.52 fof(fact_inj__graph,axiom, % 208.85/209.52 ! [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))) ). % 208.85/209.52 % 208.85/209.52 fof(fact_split__paired__All,axiom, % 208.85/209.52 ! [T_c,T_b,V_Pa_2] : % 208.85/209.52 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 208.85/209.52 <=> ! [B_a,B_b] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Pair__eq,axiom, % 208.85/209.52 ! [V_b_H_2,V_a_H_2,V_ba_2,V_a_2,T_c,T_b] : % 208.85/209.52 ( 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) % 208.85/209.52 <=> ( V_a_2 = V_a_H_2 % 208.85/209.52 & V_ba_2 = V_b_H_2 ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Pair__inject,axiom, % 208.85/209.52 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] : % 208.85/209.52 ( 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) % 208.85/209.52 => ~ ( V_a = V_a_H % 208.85/209.52 => V_b != V_b_H ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Sup__fin_Oidem,axiom, % 208.85/209.52 ! [V_x,T_a] : % 208.85/209.52 ( class_Lattices_Olattice(T_a) % 208.85/209.52 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Inf__fin_Oidem,axiom, % 208.85/209.52 ! [V_x,T_a] : % 208.85/209.52 ( class_Lattices_Olattice(T_a) % 208.85/209.52 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_wf,axiom, % 208.85/209.52 ! [T_b] : % 208.85/209.52 ( class_Orderings_Owellorder(T_b) % 208.85/209.52 => 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)))) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_split__weak__cong,axiom, % 208.85/209.52 ! [V_ca_2,T_d,T_c,T_b,V_q_2,V_p_2] : % 208.85/209.52 ( V_p_2 = V_q_2 % 208.85/209.52 => 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) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_wfP__def,axiom, % 208.85/209.52 ! [V_r_2,T_b] : % 208.85/209.52 ( c_Wellfounded_OwfP(T_b,V_r_2) % 208.85/209.52 <=> 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))) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_finite__psubset__def,axiom, % 208.85/209.52 ! [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)))) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Domain__Collect__split,axiom, % 208.85/209.52 ! [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)) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Range__Collect__split,axiom, % 208.85/209.52 ! [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))) ). % 208.85/209.52 % 208.85/209.52 fof(fact_inv__image__def,axiom, % 208.85/209.52 ! [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))) ). % 208.85/209.52 % 208.85/209.52 fof(fact_split__twice,axiom, % 208.85/209.52 ! [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) ). % 208.85/209.52 % 208.85/209.52 fof(fact_rel__comp__def,axiom, % 208.85/209.52 ! [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))))) ). % 208.85/209.52 % 208.85/209.52 fof(fact_card__Diff__insert,axiom, % 208.85/209.52 ! [V_B_2,V_a_2,V_A_2,T_b] : % 208.85/209.52 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 208.85/209.52 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 208.85/209.52 => 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)) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_split__conv,axiom, % 208.85/209.52 ! [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) ). % 208.85/209.52 % 208.85/209.52 fof(fact_prod_Osimps_I2_J,axiom, % 208.85/209.52 ! [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) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Nitpick_Oprod__def,axiom, % 208.85/209.52 ! [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)))) ). % 208.85/209.52 % 208.85/209.52 fof(fact_semilattice__big_OF__eq,axiom, % 208.85/209.52 ! [V_A_2,V_F_2,V_f_2,T_b] : % 208.85/209.52 ( c_Big__Operators_Osemilattice__big(T_b,V_f_2,V_F_2) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom, % 208.85/209.52 ! [V_x,T_a] : % 208.85/209.52 ( class_Rings_Ocomm__ring__1(T_a) % 208.85/209.52 => 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) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_prod_Orecs,axiom, % 208.85/209.52 ! [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) ). % 208.85/209.52 % 208.85/209.52 fof(fact_inf__Sup1__distrib,axiom, % 208.85/209.52 ! [V_x_2,V_A_2,T_b] : % 208.85/209.52 ( class_Lattices_Odistrib__lattice(T_b) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.52 => 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))))) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_inf__Sup2__distrib,axiom, % 208.85/209.52 ! [V_B_2,V_A_2,T_b] : % 208.85/209.52 ( class_Lattices_Odistrib__lattice(T_b) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 208.85/209.52 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.52 => 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))))))) ) ) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_sup__Inf1__distrib,axiom, % 208.85/209.52 ! [V_x_2,V_A_2,T_b] : % 208.85/209.52 ( class_Lattices_Odistrib__lattice(T_b) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.52 => 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))))) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Inf__le__Sup,axiom, % 208.85/209.52 ! [V_A_2,T_b] : % 208.85/209.52 ( class_Lattices_Olattice(T_b) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.52 => 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))) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Inf__fin_Osingleton,axiom, % 208.85/209.52 ! [V_x_2,T_b] : % 208.85/209.52 ( class_Lattices_Olattice(T_b) % 208.85/209.52 => 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 ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Sup__fin_Osingleton,axiom, % 208.85/209.52 ! [V_x_2,T_b] : % 208.85/209.52 ( class_Lattices_Olattice(T_b) % 208.85/209.52 => 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 ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom, % 208.85/209.52 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 208.85/209.52 ( class_Rings_Ocomm__semiring__1(T_a) % 208.85/209.52 => 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)) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom, % 208.85/209.52 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 208.85/209.52 ( class_Rings_Ocomm__semiring__1(T_a) % 208.85/209.52 => 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)) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom, % 208.85/209.52 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 208.85/209.52 ( class_Rings_Ocomm__semiring__1(T_a) % 208.85/209.52 => 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))) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom, % 208.85/209.52 ! [V_rx,V_ly,V_lx,T_a] : % 208.85/209.52 ( class_Rings_Ocomm__semiring__1(T_a) % 208.85/209.52 => 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) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom, % 208.85/209.52 ! [V_rx,V_ly,V_lx,T_a] : % 208.85/209.52 ( class_Rings_Ocomm__semiring__1(T_a) % 208.85/209.52 => 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)) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom, % 208.85/209.52 ! [V_ry,V_rx,V_lx,T_a] : % 208.85/209.52 ( class_Rings_Ocomm__semiring__1(T_a) % 208.85/209.52 => 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) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom, % 208.85/209.52 ! [V_ry,V_rx,V_lx,T_a] : % 208.85/209.52 ( class_Rings_Ocomm__semiring__1(T_a) % 208.85/209.52 => 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)) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom, % 208.85/209.52 ! [V_b,V_a,T_a] : % 208.85/209.52 ( class_Rings_Ocomm__semiring__1(T_a) % 208.85/209.52 => 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) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_sup__Inf__absorb,axiom, % 208.85/209.52 ! [V_a_2,V_A_2,T_b] : % 208.85/209.52 ( class_Lattices_Olattice(T_b) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 208.85/209.52 => 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 ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Sup__fin_Oin__idem,axiom, % 208.85/209.52 ! [V_x_2,V_A_2,T_b] : % 208.85/209.52 ( class_Lattices_Olattice(T_b) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.52 => 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) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_inf__Sup__absorb,axiom, % 208.85/209.52 ! [V_a_2,V_A_2,T_b] : % 208.85/209.52 ( class_Lattices_Olattice(T_b) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 208.85/209.52 => 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 ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Inf__fin_Oin__idem,axiom, % 208.85/209.52 ! [V_x_2,V_A_2,T_b] : % 208.85/209.52 ( class_Lattices_Olattice(T_b) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.52 => 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) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Inf__fin__Inf,axiom, % 208.85/209.52 ! [V_A_2,T_b] : % 208.85/209.52 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.52 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Sup__fin_OF__eq,axiom, % 208.85/209.52 ! [V_A_2,T_b] : % 208.85/209.52 ( class_Lattices_Olattice(T_b) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => 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) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Inf__fin_OF__eq,axiom, % 208.85/209.52 ! [V_A_2,T_b] : % 208.85/209.52 ( class_Lattices_Olattice(T_b) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => 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) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Sup__fin_Oinsert__idem,axiom, % 208.85/209.52 ! [V_x_2,V_A_2,T_b] : % 208.85/209.52 ( class_Lattices_Olattice(T_b) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.52 => 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)) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Inf__fin_Oinsert__idem,axiom, % 208.85/209.52 ! [V_x_2,V_A_2,T_b] : % 208.85/209.52 ( class_Lattices_Olattice(T_b) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.52 => 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)) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Sup__fin_Osubset__idem,axiom, % 208.85/209.52 ! [V_B_2,V_A_2,T_b] : % 208.85/209.52 ( class_Lattices_Olattice(T_b) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 208.85/209.52 => 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) ) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Inf__fin_Osubset__idem,axiom, % 208.85/209.52 ! [V_B_2,V_A_2,T_b] : % 208.85/209.52 ( class_Lattices_Olattice(T_b) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 208.85/209.52 => 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) ) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Sup__fin_Ounion__idem,axiom, % 208.85/209.52 ! [V_B_2,V_A_2,T_b] : % 208.85/209.52 ( class_Lattices_Olattice(T_b) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 208.85/209.52 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.52 => 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)) ) ) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Inf__fin_Ounion__idem,axiom, % 208.85/209.52 ! [V_B_2,V_A_2,T_b] : % 208.85/209.52 ( class_Lattices_Olattice(T_b) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 208.85/209.52 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.52 => 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)) ) ) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Sup__fin_Oinsert,axiom, % 208.85/209.52 ! [V_x_2,V_A_2,T_b] : % 208.85/209.52 ( class_Lattices_Olattice(T_b) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.52 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.52 => 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)) ) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Inf__fin_Oinsert,axiom, % 208.85/209.52 ! [V_x_2,V_A_2,T_b] : % 208.85/209.52 ( class_Lattices_Olattice(T_b) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.52 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.52 => 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)) ) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Sup__fin_Oinsert__remove,axiom, % 208.85/209.52 ! [V_x_2,V_A_2,T_b] : % 208.85/209.52 ( class_Lattices_Olattice(T_b) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( ( 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)) % 208.85/209.52 => 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 ) % 208.85/209.52 & ( 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)) % 208.85/209.52 => 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)))))) ) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Inf__fin_Oinsert__remove,axiom, % 208.85/209.52 ! [V_x_2,V_A_2,T_b] : % 208.85/209.52 ( class_Lattices_Olattice(T_b) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( ( 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)) % 208.85/209.52 => 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 ) % 208.85/209.52 & ( 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)) % 208.85/209.52 => 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)))))) ) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Sup__fin_Ounion__disjoint,axiom, % 208.85/209.52 ! [V_B_2,V_A_2,T_b] : % 208.85/209.52 ( class_Lattices_Olattice(T_b) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 208.85/209.52 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.52 => ( 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)) % 208.85/209.52 => 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)) ) ) ) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Sup__fin_Ounion__inter,axiom, % 208.85/209.52 ! [V_B_2,V_A_2,T_b] : % 208.85/209.52 ( class_Lattices_Olattice(T_b) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 208.85/209.52 => ( 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)) % 208.85/209.52 => 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)) ) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Inf__fin_Ounion__inter,axiom, % 208.85/209.52 ! [V_B_2,V_A_2,T_b] : % 208.85/209.52 ( class_Lattices_Olattice(T_b) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 208.85/209.52 => ( 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)) % 208.85/209.52 => 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)) ) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Inf__fin_Ounion__disjoint,axiom, % 208.85/209.52 ! [V_B_2,V_A_2,T_b] : % 208.85/209.52 ( class_Lattices_Olattice(T_b) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 208.85/209.52 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.52 => ( 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)) % 208.85/209.52 => 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)) ) ) ) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom, % 208.85/209.52 ! [V_a,T_a] : % 208.85/209.52 ( class_Rings_Ocomm__semiring__1(T_a) % 208.85/209.52 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom, % 208.85/209.52 ! [V_a,T_a] : % 208.85/209.52 ( class_Rings_Ocomm__semiring__1(T_a) % 208.85/209.52 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Sup__fin_Oremove,axiom, % 208.85/209.52 ! [V_x_2,V_A_2,T_b] : % 208.85/209.52 ( class_Lattices_Olattice(T_b) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.52 => ( ( 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)) % 208.85/209.52 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = V_x_2 ) % 208.85/209.52 & ( 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)) % 208.85/209.52 => 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)))))) ) ) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Inf__fin_Oremove,axiom, % 208.85/209.52 ! [V_x_2,V_A_2,T_b] : % 208.85/209.52 ( class_Lattices_Olattice(T_b) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.52 => ( ( 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)) % 208.85/209.52 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = V_x_2 ) % 208.85/209.52 & ( 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)) % 208.85/209.52 => 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)))))) ) ) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_sup__Inf2__distrib,axiom, % 208.85/209.52 ! [V_B_2,V_A_2,T_b] : % 208.85/209.52 ( class_Lattices_Odistrib__lattice(T_b) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 208.85/209.52 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.52 => 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))))))) ) ) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Inf__fin_Oclosed,axiom, % 208.85/209.52 ! [V_A_2,T_b] : % 208.85/209.52 ( class_Lattices_Olattice(T_b) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.52 => ( ! [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)))))) % 208.85/209.52 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Sup__fin_Oclosed,axiom, % 208.85/209.52 ! [V_A_2,T_b] : % 208.85/209.52 ( class_Lattices_Olattice(T_b) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.52 => ( ! [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)))))) % 208.85/209.52 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_card_Oremove,axiom, % 208.85/209.52 ! [V_x_2,V_A_2,T_b] : % 208.85/209.52 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.52 => 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)))))) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_fold__Un__disjoint,axiom, % 208.85/209.52 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 208.85/209.52 ( class_Groups_Ocomm__monoid__mult(T_c) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 208.85/209.52 => ( 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)) % 208.85/209.52 => 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)) ) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Inf__fin_Ohom__commute,axiom, % 208.85/209.52 ! [V_N_2,V_h_2,T_b] : % 208.85/209.52 ( class_Lattices_Olattice(T_b) % 208.85/209.52 => ( ! [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)) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 208.85/209.52 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.52 => 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)) ) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Sup__fin_Ohom__commute,axiom, % 208.85/209.52 ! [V_N_2,V_h_2,T_b] : % 208.85/209.52 ( class_Lattices_Olattice(T_b) % 208.85/209.52 => ( ! [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)) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 208.85/209.52 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.52 => 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)) ) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_hom__fold1__commute,axiom, % 208.85/209.52 ! [V_N_2,V_h_2,T_b] : % 208.85/209.52 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 208.85/209.52 => ( ! [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)) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 208.85/209.52 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.52 => 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)) ) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom, % 208.85/209.52 ! [V_d,V_c,V_b,V_a,T_a] : % 208.85/209.52 ( class_Rings_Ocomm__semiring__1(T_a) % 208.85/209.52 => 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)) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom, % 208.85/209.52 ! [V_c,V_b,V_a,T_a] : % 208.85/209.52 ( class_Rings_Ocomm__semiring__1(T_a) % 208.85/209.52 => 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) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom, % 208.85/209.52 ! [V_c,V_b,V_a,T_a] : % 208.85/209.52 ( class_Rings_Ocomm__semiring__1(T_a) % 208.85/209.52 => 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)) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom, % 208.85/209.52 ! [V_d,V_c,V_a,T_a] : % 208.85/209.52 ( class_Rings_Ocomm__semiring__1(T_a) % 208.85/209.52 => 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) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom, % 208.85/209.52 ! [V_d,V_c,V_a,T_a] : % 208.85/209.52 ( class_Rings_Ocomm__semiring__1(T_a) % 208.85/209.52 => 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)) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom, % 208.85/209.52 ! [V_c,V_a,T_a] : % 208.85/209.52 ( class_Rings_Ocomm__semiring__1(T_a) % 208.85/209.52 => 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) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_inj__on__add__nat,axiom, % 208.85/209.52 ! [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) ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__right__imp__eq,axiom, % 208.85/209.52 ! [V_c,V_a,V_b,T_a] : % 208.85/209.52 ( class_Groups_Ocancel__semigroup__add(T_a) % 208.85/209.52 => ( 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) % 208.85/209.52 => V_b = V_c ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__imp__eq,axiom, % 208.85/209.52 ! [V_c,V_b,V_a,T_a] : % 208.85/209.52 ( class_Groups_Ocancel__ab__semigroup__add(T_a) % 208.85/209.52 => ( 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) % 208.85/209.52 => V_b = V_c ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__left__imp__eq,axiom, % 208.85/209.52 ! [V_c,V_b,V_a,T_a] : % 208.85/209.52 ( class_Groups_Ocancel__semigroup__add(T_a) % 208.85/209.52 => ( 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) % 208.85/209.52 => V_b = V_c ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__right__cancel,axiom, % 208.85/209.52 ! [V_ca_2,V_a_2,V_ba_2,T_b] : % 208.85/209.52 ( class_Groups_Ocancel__semigroup__add(T_b) % 208.85/209.52 => ( 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) % 208.85/209.52 <=> V_ba_2 = V_ca_2 ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__left__cancel,axiom, % 208.85/209.52 ! [V_ca_2,V_ba_2,V_a_2,T_b] : % 208.85/209.52 ( class_Groups_Ocancel__semigroup__add(T_b) % 208.85/209.52 => ( 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) % 208.85/209.52 <=> V_ba_2 = V_ca_2 ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom, % 208.85/209.52 ! [V_c,V_b,V_a,T_a] : % 208.85/209.52 ( class_Groups_Oab__semigroup__add(T_a) % 208.85/209.52 => 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)) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_nat__add__right__cancel,axiom, % 208.85/209.52 ! [V_n_2,V_k_2,V_m_2] : % 208.85/209.52 ( 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) % 208.85/209.52 <=> V_m_2 = V_n_2 ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_nat__add__left__cancel,axiom, % 208.85/209.52 ! [V_n_2,V_m_2,V_k_2] : % 208.85/209.52 ( 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) % 208.85/209.52 <=> V_m_2 = V_n_2 ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_nat__add__assoc,axiom, % 208.85/209.52 ! [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)) ). % 208.85/209.52 % 208.85/209.52 fof(fact_nat__add__left__commute,axiom, % 208.85/209.52 ! [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)) ). % 208.85/209.52 % 208.85/209.52 fof(fact_nat__add__commute,axiom, % 208.85/209.52 ! [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) ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__le__cancel__right,axiom, % 208.85/209.52 ! [V_ba_2,V_ca_2,V_a_2,T_b] : % 208.85/209.52 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 208.85/209.52 => ( 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))) % 208.85/209.52 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_ba_2)) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__le__cancel__left,axiom, % 208.85/209.52 ! [V_ba_2,V_a_2,V_ca_2,T_b] : % 208.85/209.52 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 208.85/209.52 => ( 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))) % 208.85/209.52 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_ba_2)) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__right__mono,axiom, % 208.85/209.52 ! [V_c,V_b,V_a,T_a] : % 208.85/209.52 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 208.85/209.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 208.85/209.52 => 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))) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__left__mono,axiom, % 208.85/209.52 ! [V_c,V_b,V_a,T_a] : % 208.85/209.52 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 208.85/209.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 208.85/209.52 => 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))) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__mono,axiom, % 208.85/209.52 ! [V_d,V_c,V_b,V_a,T_a] : % 208.85/209.52 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 208.85/209.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 208.85/209.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 208.85/209.52 => 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))) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__le__imp__le__right,axiom, % 208.85/209.52 ! [V_b,V_c,V_a,T_a] : % 208.85/209.52 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 208.85/209.52 => ( 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))) % 208.85/209.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__le__imp__le__left,axiom, % 208.85/209.52 ! [V_b,V_a,V_c,T_a] : % 208.85/209.52 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 208.85/209.52 => ( 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))) % 208.85/209.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__less__cancel__right,axiom, % 208.85/209.52 ! [V_ba_2,V_ca_2,V_a_2,T_b] : % 208.85/209.52 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 208.85/209.52 => ( 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))) % 208.85/209.52 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2)) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__less__cancel__left,axiom, % 208.85/209.52 ! [V_ba_2,V_a_2,V_ca_2,T_b] : % 208.85/209.52 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 208.85/209.52 => ( 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))) % 208.85/209.52 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2)) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__strict__right__mono,axiom, % 208.85/209.52 ! [V_c,V_b,V_a,T_a] : % 208.85/209.52 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 208.85/209.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 208.85/209.52 => 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))) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__strict__left__mono,axiom, % 208.85/209.52 ! [V_c,V_b,V_a,T_a] : % 208.85/209.52 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 208.85/209.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 208.85/209.52 => 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))) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__strict__mono,axiom, % 208.85/209.52 ! [V_d,V_c,V_b,V_a,T_a] : % 208.85/209.52 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 208.85/209.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 208.85/209.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 208.85/209.52 => 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))) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__less__imp__less__right,axiom, % 208.85/209.52 ! [V_b,V_c,V_a,T_a] : % 208.85/209.52 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 208.85/209.52 => ( 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))) % 208.85/209.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__less__imp__less__left,axiom, % 208.85/209.52 ! [V_b,V_a,V_c,T_a] : % 208.85/209.52 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 208.85/209.52 => ( 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))) % 208.85/209.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_comm__semiring__class_Odistrib,axiom, % 208.85/209.52 ! [V_c,V_b,V_a,T_a] : % 208.85/209.52 ( class_Rings_Ocomm__semiring(T_a) % 208.85/209.52 => 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)) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_combine__common__factor,axiom, % 208.85/209.52 ! [V_c,V_b,V_e,V_a,T_a] : % 208.85/209.52 ( class_Rings_Osemiring(T_a) % 208.85/209.52 => 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) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom, % 208.85/209.52 ! [V_z,V_y,V_x,T_a] : % 208.85/209.52 ( class_Rings_Ocomm__semiring__1(T_a) % 208.85/209.52 => 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)) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_crossproduct__noteq,axiom, % 208.85/209.52 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] : % 208.85/209.52 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 208.85/209.52 => ( ( V_a_2 != V_ba_2 % 208.85/209.52 & V_ca_2 != V_d_2 ) % 208.85/209.52 <=> 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)) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom, % 208.85/209.52 ! [V_c,V_b,V_a,T_a] : % 208.85/209.52 ( class_Rings_Ocomm__semiring__1(T_a) % 208.85/209.52 => 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)) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom, % 208.85/209.52 ! [V_b,V_m,V_a,T_a] : % 208.85/209.52 ( class_Rings_Ocomm__semiring__1(T_a) % 208.85/209.52 => 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) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_crossproduct__eq,axiom, % 208.85/209.52 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_b] : % 208.85/209.52 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 208.85/209.52 => ( 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)) % 208.85/209.52 <=> ( V_w_2 = V_x_2 % 208.85/209.52 | V_y_2 = V_z_2 ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_diff__add__cancel,axiom, % 208.85/209.52 ! [V_b,V_a,T_a] : % 208.85/209.52 ( class_Groups_Ogroup__add(T_a) % 208.85/209.52 => 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 ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__diff__cancel,axiom, % 208.85/209.52 ! [V_b,V_a,T_a] : % 208.85/209.52 ( class_Groups_Ogroup__add(T_a) % 208.85/209.52 => 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 ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_minus__add__distrib,axiom, % 208.85/209.52 ! [V_b,V_a,T_a] : % 208.85/209.52 ( class_Groups_Oab__group__add(T_a) % 208.85/209.52 => 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)) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_minus__add,axiom, % 208.85/209.52 ! [V_b,V_a,T_a] : % 208.85/209.52 ( class_Groups_Ogroup__add(T_a) % 208.85/209.52 => 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)) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__minus__cancel,axiom, % 208.85/209.52 ! [V_b,V_a,T_a] : % 208.85/209.52 ( class_Groups_Ogroup__add(T_a) % 208.85/209.52 => 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 ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_minus__add__cancel,axiom, % 208.85/209.52 ! [V_b,V_a,T_a] : % 208.85/209.52 ( class_Groups_Ogroup__add(T_a) % 208.85/209.52 => 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 ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__lessD1,axiom, % 208.85/209.52 ! [V_k,V_j,V_i] : % 208.85/209.52 ( 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)) % 208.85/209.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_less__add__eq__less,axiom, % 208.85/209.52 ! [V_n,V_m,V_l,V_k] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l)) % 208.85/209.52 => ( 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) % 208.85/209.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__less__mono,axiom, % 208.85/209.52 ! [V_l,V_k,V_j,V_i] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 208.85/209.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l)) % 208.85/209.52 => 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))) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__less__mono1,axiom, % 208.85/209.52 ! [V_k,V_j,V_i] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 208.85/209.52 => 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))) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_trans__less__add2,axiom, % 208.85/209.52 ! [V_m,V_j,V_i] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 208.85/209.52 => 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))) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_trans__less__add1,axiom, % 208.85/209.52 ! [V_m,V_j,V_i] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 208.85/209.52 => 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))) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_nat__add__left__cancel__less,axiom, % 208.85/209.52 ! [V_n_2,V_m_2,V_k_2] : % 208.85/209.52 ( 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))) % 208.85/209.52 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_not__add__less2,axiom, % 208.85/209.52 ! [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)) ). % 208.85/209.52 % 208.85/209.52 fof(fact_not__add__less1,axiom, % 208.85/209.52 ! [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)) ). % 208.85/209.52 % 208.85/209.52 fof(fact_termination__basic__simps_I2_J,axiom, % 208.85/209.52 ! [V_y,V_z,V_x] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z)) % 208.85/209.52 => 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))) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_termination__basic__simps_I1_J,axiom, % 208.85/209.52 ! [V_z,V_y,V_x] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 208.85/209.52 => 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))) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__leE,axiom, % 208.85/209.52 ! [V_n,V_k,V_m] : % 208.85/209.52 ( 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)) % 208.85/209.52 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 208.85/209.52 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__leD1,axiom, % 208.85/209.52 ! [V_n,V_k,V_m] : % 208.85/209.52 ( 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)) % 208.85/209.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__leD2,axiom, % 208.85/209.52 ! [V_n,V_k,V_m] : % 208.85/209.52 ( 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)) % 208.85/209.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__le__mono,axiom, % 208.85/209.52 ! [V_l,V_k,V_j,V_i] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 208.85/209.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l)) % 208.85/209.52 => 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))) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__le__mono1,axiom, % 208.85/209.52 ! [V_k,V_j,V_i] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 208.85/209.52 => 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))) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_trans__le__add2,axiom, % 208.85/209.52 ! [V_m,V_j,V_i] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 208.85/209.52 => 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))) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_trans__le__add1,axiom, % 208.85/209.52 ! [V_m,V_j,V_i] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 208.85/209.52 => 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))) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_nat__add__left__cancel__le,axiom, % 208.85/209.52 ! [V_n_2,V_m_2,V_k_2] : % 208.85/209.52 ( 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))) % 208.85/209.52 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_le__iff__add,axiom, % 208.85/209.52 ! [V_n_2,V_m_2] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 208.85/209.52 <=> ? [B_k] : V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_le__add1,axiom, % 208.85/209.52 ! [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))) ). % 208.85/209.52 % 208.85/209.52 fof(fact_le__add2,axiom, % 208.85/209.52 ! [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))) ). % 208.85/209.52 % 208.85/209.52 fof(fact_termination__basic__simps_I4_J,axiom, % 208.85/209.52 ! [V_y,V_z,V_x] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z)) % 208.85/209.52 => 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))) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_termination__basic__simps_I3_J,axiom, % 208.85/209.52 ! [V_z,V_y,V_x] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) % 208.85/209.52 => 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))) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_diff__add__inverse2,axiom, % 208.85/209.52 ! [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 ). % 208.85/209.52 % 208.85/209.52 fof(fact_diff__add__inverse,axiom, % 208.85/209.52 ! [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 ). % 208.85/209.52 % 208.85/209.52 fof(fact_diff__diff__left,axiom, % 208.85/209.52 ! [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)) ). % 208.85/209.52 % 208.85/209.52 fof(fact_diff__cancel,axiom, % 208.85/209.52 ! [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) ). % 208.85/209.52 % 208.85/209.52 fof(fact_diff__cancel2,axiom, % 208.85/209.52 ! [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) ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__mult__distrib2,axiom, % 208.85/209.52 ! [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)) ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__mult__distrib,axiom, % 208.85/209.52 ! [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)) ). % 208.85/209.52 % 208.85/209.52 fof(fact_fold__image__empty,axiom, % 208.85/209.52 ! [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 ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__le__less__mono,axiom, % 208.85/209.52 ! [V_d,V_c,V_b,V_a,T_a] : % 208.85/209.52 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 208.85/209.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 208.85/209.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 208.85/209.52 => 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))) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__less__le__mono,axiom, % 208.85/209.52 ! [V_d,V_c,V_b,V_a,T_a] : % 208.85/209.52 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 208.85/209.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 208.85/209.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 208.85/209.52 => 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))) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_less__add__one,axiom, % 208.85/209.52 ! [V_a,T_a] : % 208.85/209.52 ( class_Rings_Olinordered__semidom(T_a) % 208.85/209.52 => 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)))) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_eq__add__iff1,axiom, % 208.85/209.52 ! [V_d_2,V_ba_2,V_ca_2,V_e_2,V_a_2,T_b] : % 208.85/209.52 ( class_Rings_Oring(T_b) % 208.85/209.52 => ( 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) % 208.85/209.52 <=> 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 ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_eq__add__iff2,axiom, % 208.85/209.52 ! [V_d_2,V_ba_2,V_ca_2,V_e_2,V_a_2,T_b] : % 208.85/209.52 ( class_Rings_Oring(T_b) % 208.85/209.52 => ( 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) % 208.85/209.52 <=> 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) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom, % 208.85/209.52 ! [V_m,T_a] : % 208.85/209.52 ( class_Rings_Ocomm__semiring__1(T_a) % 208.85/209.52 => 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) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom, % 208.85/209.52 ! [V_a,V_m,T_a] : % 208.85/209.52 ( class_Rings_Ocomm__semiring__1(T_a) % 208.85/209.52 => 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) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom, % 208.85/209.52 ! [V_m,V_a,T_a] : % 208.85/209.52 ( class_Rings_Ocomm__semiring__1(T_a) % 208.85/209.52 => 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) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_diff__def,axiom, % 208.85/209.52 ! [V_b,V_a,T_a] : % 208.85/209.52 ( class_Groups_Ogroup__add(T_a) % 208.85/209.52 => 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)) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_ab__diff__minus,axiom, % 208.85/209.52 ! [V_b,V_a,T_a] : % 208.85/209.52 ( class_Groups_Oab__group__add(T_a) % 208.85/209.52 => 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)) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_diff__minus__eq__add,axiom, % 208.85/209.52 ! [V_b,V_a,T_a] : % 208.85/209.52 ( class_Groups_Ogroup__add(T_a) % 208.85/209.52 => 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) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom, % 208.85/209.52 ! [V_y,V_x,T_a] : % 208.85/209.52 ( class_Rings_Ocomm__ring__1(T_a) % 208.85/209.52 => 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)) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__diff__inverse,axiom, % 208.85/209.52 ! [V_n,V_m] : % 208.85/209.52 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 208.85/209.52 => 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 ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_less__diff__conv,axiom, % 208.85/209.52 ! [V_k_2,V_j_2,V_i_2] : % 208.85/209.52 ( 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))) % 208.85/209.52 <=> 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)) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_diff__diff__right,axiom, % 208.85/209.52 ! [V_i,V_j,V_k] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 208.85/209.52 => 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) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_le__diff__conv,axiom, % 208.85/209.52 ! [V_i_2,V_k_2,V_j_2] : % 208.85/209.52 ( 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)) % 208.85/209.52 <=> 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))) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_le__add__diff,axiom, % 208.85/209.52 ! [V_m,V_n,V_k] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) % 208.85/209.52 => 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))) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_le__add__diff__inverse,axiom, % 208.85/209.52 ! [V_m,V_n] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 208.85/209.52 => 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 ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__diff__assoc,axiom, % 208.85/209.52 ! [V_i,V_j,V_k] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 208.85/209.52 => 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) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_le__diff__conv2,axiom, % 208.85/209.52 ! [V_i_2,V_j_2,V_k_2] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2)) % 208.85/209.52 => ( 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))) % 208.85/209.52 <=> 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)) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_le__add__diff__inverse2,axiom, % 208.85/209.52 ! [V_m,V_n] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 208.85/209.52 => 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 ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_le__imp__diff__is__add,axiom, % 208.85/209.52 ! [V_k_2,V_j_2,V_i_2] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 208.85/209.52 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2 % 208.85/209.52 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_diff__add__assoc,axiom, % 208.85/209.52 ! [V_i,V_j,V_k] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 208.85/209.52 => 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)) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__diff__assoc2,axiom, % 208.85/209.52 ! [V_i,V_j,V_k] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 208.85/209.52 => 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) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_diff__add__assoc2,axiom, % 208.85/209.52 ! [V_i,V_j,V_k] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 208.85/209.52 => 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) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_folding__image__simple_Oeq__fold__g,axiom, % 208.85/209.52 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 208.85/209.52 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 208.85/209.52 => 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) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_folding__image_Oeq__fold,axiom, % 208.85/209.52 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 208.85/209.52 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 208.85/209.52 => 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) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_le__add__iff1,axiom, % 208.85/209.52 ! [V_d_2,V_ba_2,V_ca_2,V_e_2,V_a_2,T_b] : % 208.85/209.52 ( class_Rings_Oordered__ring(T_b) % 208.85/209.52 => ( 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))) % 208.85/209.52 <=> 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)) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_le__add__iff2,axiom, % 208.85/209.52 ! [V_d_2,V_ba_2,V_ca_2,V_e_2,V_a_2,T_b] : % 208.85/209.52 ( class_Rings_Oordered__ring(T_b) % 208.85/209.52 => ( 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))) % 208.85/209.52 <=> 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))) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_less__add__iff2,axiom, % 208.85/209.52 ! [V_d_2,V_ba_2,V_ca_2,V_e_2,V_a_2,T_b] : % 208.85/209.52 ( class_Rings_Oordered__ring(T_b) % 208.85/209.52 => ( 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))) % 208.85/209.52 <=> 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))) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_less__add__iff1,axiom, % 208.85/209.52 ! [V_d_2,V_ba_2,V_ca_2,V_e_2,V_a_2,T_b] : % 208.85/209.52 ( class_Rings_Oordered__ring(T_b) % 208.85/209.52 => ( 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))) % 208.85/209.52 <=> 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)) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_fold__image__distrib,axiom, % 208.85/209.52 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 208.85/209.52 ( class_Groups_Ocomm__monoid__mult(T_c) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => 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)) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_card__Un__Int,axiom, % 208.85/209.52 ! [V_B_2,V_A_2,T_b] : % 208.85/209.52 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 208.85/209.52 => 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))) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_card_Ounion__inter,axiom, % 208.85/209.52 ! [V_B_2,V_A_2,T_b] : % 208.85/209.52 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 208.85/209.52 => 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)) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_fold__image__insert,axiom, % 208.85/209.52 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_b,T_c] : % 208.85/209.52 ( class_Groups_Oab__semigroup__mult(T_c) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 208.85/209.52 => 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)) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_card__Un__disjoint,axiom, % 208.85/209.52 ! [V_B_2,V_A_2,T_b] : % 208.85/209.52 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 208.85/209.52 => ( 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)) % 208.85/209.52 => 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)) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_card_Oinsert,axiom, % 208.85/209.52 ! [V_x_2,V_A_2,T_b] : % 208.85/209.52 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.52 => 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)) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_fold__image__Un__Int,axiom, % 208.85/209.52 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 208.85/209.52 ( class_Groups_Ocomm__monoid__mult(T_c) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 208.85/209.52 => 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))) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_fold__image__reindex,axiom, % 208.85/209.52 ! [V_z_2,V_g_2,V_h_2,T_c,V_A_2,T_b,T_d] : % 208.85/209.52 ( class_Groups_Oab__semigroup__mult(T_d) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( c_Fun_Oinj__on(T_b,T_c,V_h_2,V_A_2) % 208.85/209.52 => 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) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_image__eq__fold__image,axiom, % 208.85/209.52 ! [V_f_2,T_c,V_A_2,T_b] : % 208.85/209.52 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => 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) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_card_Oinsert__remove,axiom, % 208.85/209.52 ! [V_x_2,V_A_2,T_b] : % 208.85/209.52 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => 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)))))) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_nat__less__add__iff1,axiom, % 208.85/209.52 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 208.85/209.52 => ( 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))) % 208.85/209.52 <=> 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)) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_nat__less__add__iff2,axiom, % 208.85/209.52 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 208.85/209.52 => ( 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))) % 208.85/209.52 <=> 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))) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_nat__le__add__iff1,axiom, % 208.85/209.52 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 208.85/209.52 => ( 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))) % 208.85/209.52 <=> 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)) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_nat__diff__add__eq1,axiom, % 208.85/209.52 ! [V_n,V_m,V_u,V_i,V_j] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i)) % 208.85/209.52 => 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) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_nat__eq__add__iff1,axiom, % 208.85/209.52 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 208.85/209.52 => ( 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) % 208.85/209.52 <=> 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 ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_nat__le__add__iff2,axiom, % 208.85/209.52 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 208.85/209.52 => ( 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))) % 208.85/209.52 <=> 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))) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_nat__diff__add__eq2,axiom, % 208.85/209.52 ! [V_n,V_m,V_u,V_j,V_i] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 208.85/209.52 => 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)) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_left__add__mult__distrib,axiom, % 208.85/209.52 ! [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) ). % 208.85/209.52 % 208.85/209.52 fof(fact_nat__eq__add__iff2,axiom, % 208.85/209.52 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 208.85/209.52 => ( 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) % 208.85/209.52 <=> 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) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_comm__monoid__big_OF__eq,axiom, % 208.85/209.52 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 208.85/209.52 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2) % 208.85/209.52 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 208.85/209.52 => 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) ) % 208.85/209.52 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 208.85/209.52 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_fold__image__Un__one,axiom, % 208.85/209.52 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 208.85/209.52 ( class_Groups_Ocomm__monoid__mult(T_c) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 208.85/209.52 => ( ! [B_x] : % 208.85/209.52 ( 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))) % 208.85/209.52 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 208.85/209.52 => 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)) ) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__Min__commute,axiom, % 208.85/209.52 ! [V_k_2,V_N_2,T_b] : % 208.85/209.52 ( class_Groups_Olinordered__ab__semigroup__add(T_b) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 208.85/209.52 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.52 => 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))))) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__Max__commute,axiom, % 208.85/209.52 ! [V_k_2,V_N_2,T_b] : % 208.85/209.52 ( class_Groups_Olinordered__ab__semigroup__add(T_b) % 208.85/209.52 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 208.85/209.52 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.52 => 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))))) ) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_wfP__acyclicP,axiom, % 208.85/209.52 ! [V_r_2,T_b] : % 208.85/209.52 ( c_Wellfounded_OwfP(T_b,V_r_2) % 208.85/209.52 => 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))) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_card__Suc__Diff1,axiom, % 208.85/209.52 ! [V_x_2,V_A_2,T_b] : % 208.85/209.52 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.52 => 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) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_lessI,axiom, % 208.85/209.52 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Suc__mono,axiom, % 208.85/209.52 ! [V_n,V_m] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 208.85/209.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Suc__inject,axiom, % 208.85/209.52 ! [V_y,V_x] : % 208.85/209.52 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y) % 208.85/209.52 => V_x = V_y ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_nat_Oinject,axiom, % 208.85/209.52 ! [V_nat_H_2,V_nat_2] : % 208.85/209.52 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2) % 208.85/209.52 <=> V_nat_2 = V_nat_H_2 ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Suc__n__not__n,axiom, % 208.85/209.52 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ). % 208.85/209.52 % 208.85/209.52 fof(fact_n__not__Suc__n,axiom, % 208.85/209.52 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Suc__less__SucD,axiom, % 208.85/209.52 ! [V_n,V_m] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) % 208.85/209.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Suc__lessD,axiom, % 208.85/209.52 ! [V_n,V_m] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 208.85/209.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_less__SucE,axiom, % 208.85/209.52 ! [V_n,V_m] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) % 208.85/209.52 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 208.85/209.52 => V_m = V_n ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_less__trans__Suc,axiom, % 208.85/209.52 ! [V_k,V_j,V_i] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 208.85/209.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k)) % 208.85/209.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Suc__lessI,axiom, % 208.85/209.52 ! [V_n,V_m] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 208.85/209.52 => ( hAPP(c_Nat_OSuc,V_m) != V_n % 208.85/209.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_less__SucI,axiom, % 208.85/209.52 ! [V_n,V_m] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 208.85/209.52 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_less__antisym,axiom, % 208.85/209.52 ! [V_m,V_n] : % 208.85/209.52 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m)) % 208.85/209.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m))) % 208.85/209.52 => V_m = V_n ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_not__less__less__Suc__eq,axiom, % 208.85/209.52 ! [V_m_2,V_n_2] : % 208.85/209.52 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 208.85/209.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) % 208.85/209.52 <=> V_n_2 = V_m_2 ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_Suc__less__eq,axiom, % 208.85/209.52 ! [V_n_2,V_m_2] : % 208.85/209.52 ( 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))) % 208.85/209.52 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_less__Suc__eq,axiom, % 208.85/209.52 ! [V_n_2,V_m_2] : % 208.85/209.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 208.85/209.52 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 208.85/209.52 | V_m_2 = V_n_2 ) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_not__less__eq,axiom, % 208.85/209.52 ! [V_n_2,V_m_2] : % 208.85/209.52 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 208.85/209.52 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) ) ). % 208.85/209.52 % 208.85/209.52 fof(fact_add__Suc__shift,axiom, % 208.85/209.53 ! [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)) ). % 208.85/209.53 % 208.85/209.53 fof(fact_add__Suc,axiom, % 208.85/209.53 ! [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)) ). % 208.85/209.53 % 208.85/209.53 fof(fact_add__Suc__right,axiom, % 208.85/209.53 ! [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)) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Suc__leD,axiom, % 208.85/209.53 ! [V_n,V_m] : % 208.85/209.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 208.85/209.53 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_le__SucE,axiom, % 208.85/209.53 ! [V_n,V_m] : % 208.85/209.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) % 208.85/209.53 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 208.85/209.53 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_le__SucI,axiom, % 208.85/209.53 ! [V_n,V_m] : % 208.85/209.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 208.85/209.53 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Suc__le__mono,axiom, % 208.85/209.53 ! [V_m_2,V_n_2] : % 208.85/209.53 ( 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))) % 208.85/209.53 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_le__Suc__eq,axiom, % 208.85/209.53 ! [V_n_2,V_m_2] : % 208.85/209.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 208.85/209.53 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 208.85/209.53 | V_m_2 = hAPP(c_Nat_OSuc,V_n_2) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_not__less__eq__eq,axiom, % 208.85/209.53 ! [V_n_2,V_m_2] : % 208.85/209.53 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 208.85/209.53 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Suc__n__not__le__n,axiom, % 208.85/209.53 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ). % 208.85/209.53 % 208.85/209.53 fof(fact_diff__Suc__Suc,axiom, % 208.85/209.53 ! [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) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Suc__diff__diff,axiom, % 208.85/209.53 ! [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) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Suc__mult__cancel1,axiom, % 208.85/209.53 ! [V_n_2,V_m_2,V_k_2] : % 208.85/209.53 ( 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) % 208.85/209.53 <=> V_m_2 = V_n_2 ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_inj__Suc,axiom, % 208.85/209.53 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ). % 208.85/209.53 % 208.85/209.53 fof(fact_wf__acyclic,axiom, % 208.85/209.53 ! [V_r_2,T_b] : % 208.85/209.53 ( c_Wellfounded_Owf(T_b,V_r_2) % 208.85/209.53 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_acyclic__subset,axiom, % 208.85/209.53 ! [V_r_2,V_s_2,T_b] : % 208.85/209.53 ( c_Wellfounded_Oacyclic(T_b,V_s_2) % 208.85/209.53 => ( 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)) % 208.85/209.53 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_less__add__Suc1,axiom, % 208.85/209.53 ! [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)))) ). % 208.85/209.53 % 208.85/209.53 fof(fact_less__add__Suc2,axiom, % 208.85/209.53 ! [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)))) ). % 208.85/209.53 % 208.85/209.53 fof(fact_less__iff__Suc__add,axiom, % 208.85/209.53 ! [V_n_2,V_m_2] : % 208.85/209.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 208.85/209.53 <=> ? [B_k] : V_n_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Suc__le__lessD,axiom, % 208.85/209.53 ! [V_n,V_m] : % 208.85/209.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 208.85/209.53 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_le__less__Suc__eq,axiom, % 208.85/209.53 ! [V_n_2,V_m_2] : % 208.85/209.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) % 208.85/209.53 <=> V_n_2 = V_m_2 ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Suc__leI,axiom, % 208.85/209.53 ! [V_n,V_m] : % 208.85/209.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 208.85/209.53 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_le__imp__less__Suc,axiom, % 208.85/209.53 ! [V_n,V_m] : % 208.85/209.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 208.85/209.53 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Suc__le__eq,axiom, % 208.85/209.53 ! [V_n_2,V_m_2] : % 208.85/209.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2)) % 208.85/209.53 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_less__Suc__eq__le,axiom, % 208.85/209.53 ! [V_n_2,V_m_2] : % 208.85/209.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 208.85/209.53 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_less__eq__Suc__le,axiom, % 208.85/209.53 ! [V_m_2,V_n_2] : % 208.85/209.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 208.85/209.53 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_diff__less__Suc,axiom, % 208.85/209.53 ! [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))) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Suc__mult__less__cancel1,axiom, % 208.85/209.53 ! [V_n_2,V_m_2,V_k_2] : % 208.85/209.53 ( 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))) % 208.85/209.53 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__Suc,axiom, % 208.85/209.53 ! [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)) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__Suc__right,axiom, % 208.85/209.53 ! [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)) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Suc__diff__le,axiom, % 208.85/209.53 ! [V_m,V_n] : % 208.85/209.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 208.85/209.53 => 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)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Suc__mult__le__cancel1,axiom, % 208.85/209.53 ! [V_n_2,V_m_2,V_k_2] : % 208.85/209.53 ( 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))) % 208.85/209.53 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_diff__Suc__1,axiom, % 208.85/209.53 ! [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 ). % 208.85/209.53 % 208.85/209.53 fof(fact_minus__Max__eq__Min,axiom, % 208.85/209.53 ! [V_S_2,T_b] : % 208.85/209.53 ( class_Groups_Olinordered__ab__group__add(T_b) % 208.85/209.53 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 208.85/209.53 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.53 => 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)) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_minus__Min__eq__Max,axiom, % 208.85/209.53 ! [V_S_2,T_b] : % 208.85/209.53 ( class_Groups_Olinordered__ab__group__add(T_b) % 208.85/209.53 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 208.85/209.53 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.53 => 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)) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Min_Osingleton,axiom, % 208.85/209.53 ! [V_x_2,T_b] : % 208.85/209.53 ( class_Orderings_Olinorder(T_b) % 208.85/209.53 => 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 ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Max_Osingleton,axiom, % 208.85/209.53 ! [V_x_2,T_b] : % 208.85/209.53 ( class_Orderings_Olinorder(T_b) % 208.85/209.53 => 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 ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_less__eq__Suc__le__raw,axiom, % 208.85/209.53 ! [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)) ). % 208.85/209.53 % 208.85/209.53 fof(fact_wf__iff__no__infinite__down__chain,axiom, % 208.85/209.53 ! [V_r_2,T_b] : % 208.85/209.53 ( c_Wellfounded_Owf(T_b,V_r_2) % 208.85/209.53 <=> ~ ? [B_f] : % 208.85/209.53 ! [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)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_diff__Suc__diff__eq1,axiom, % 208.85/209.53 ! [V_m,V_j,V_k] : % 208.85/209.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 208.85/209.53 => 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)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_diff__Suc__diff__eq2,axiom, % 208.85/209.53 ! [V_m,V_j,V_k] : % 208.85/209.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 208.85/209.53 => 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)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Max__ge,axiom, % 208.85/209.53 ! [V_x_2,V_A_2,T_b] : % 208.85/209.53 ( class_Orderings_Olinorder(T_b) % 208.85/209.53 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.53 => 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))) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Min__le,axiom, % 208.85/209.53 ! [V_x_2,V_A_2,T_b] : % 208.85/209.53 ( class_Orderings_Olinorder(T_b) % 208.85/209.53 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.53 => 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)) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Min__in,axiom, % 208.85/209.53 ! [V_A_2,T_b] : % 208.85/209.53 ( class_Orderings_Olinorder(T_b) % 208.85/209.53 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.53 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.53 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Max__in,axiom, % 208.85/209.53 ! [V_A_2,T_b] : % 208.85/209.53 ( class_Orderings_Olinorder(T_b) % 208.85/209.53 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.53 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.53 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_wf__iff__acyclic__if__finite,axiom, % 208.85/209.53 ! [V_r_2,T_b] : % 208.85/209.53 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 208.85/209.53 => ( c_Wellfounded_Owf(T_b,V_r_2) % 208.85/209.53 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_finite__acyclic__wf,axiom, % 208.85/209.53 ! [V_r_2,T_b] : % 208.85/209.53 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 208.85/209.53 => ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 208.85/209.53 => c_Wellfounded_Owf(T_b,V_r_2) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_card__insert__if,axiom, % 208.85/209.53 ! [V_x_2,V_A_2,T_b] : % 208.85/209.53 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.53 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.53 => 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) ) % 208.85/209.53 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.53 => 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)) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_card__insert__disjoint,axiom, % 208.85/209.53 ! [V_x_2,V_A_2,T_b] : % 208.85/209.53 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.53 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.53 => 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)) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Min__antimono,axiom, % 208.85/209.53 ! [V_N_2,V_M_2,T_b] : % 208.85/209.53 ( class_Orderings_Olinorder(T_b) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2)) % 208.85/209.53 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.53 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 208.85/209.53 => 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))) ) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Max__mono,axiom, % 208.85/209.53 ! [V_N_2,V_M_2,T_b] : % 208.85/209.53 ( class_Orderings_Olinorder(T_b) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2)) % 208.85/209.53 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.53 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 208.85/209.53 => 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))) ) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_comm__monoid__big_Oinfinite,axiom, % 208.85/209.53 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 208.85/209.53 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2) % 208.85/209.53 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 208.85/209.53 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_card__insert,axiom, % 208.85/209.53 ! [V_x_2,V_A_2,T_b] : % 208.85/209.53 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.53 => 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)))))) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_pred__nat__def,axiom, % 208.85/209.53 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))) ). % 208.85/209.53 % 208.85/209.53 fof(fact_diff__Suc__eq__diff__pred,axiom, % 208.85/209.53 ! [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) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Suc__eq__plus1__left,axiom, % 208.85/209.53 ! [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) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Suc__eq__plus1,axiom, % 208.85/209.53 ! [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)) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Nitpick_Owf_H__def,axiom, % 208.85/209.53 ! [V_r_2,T_b] : % 208.85/209.53 ( c_Nitpick_Owf_H(T_b,V_r_2) % 208.85/209.53 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 208.85/209.53 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 208.85/209.53 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_wf__pred__nat,axiom, % 208.85/209.53 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ). % 208.85/209.53 % 208.85/209.53 fof(fact_finite__fun__UNIVD1,axiom, % 208.85/209.53 ! [T_c,T_b] : % 208.85/209.53 ( 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)))) % 208.85/209.53 => ( 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)) % 208.85/209.53 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_wf__if__measure,axiom, % 208.85/209.53 ! [T_b,V_g_2,V_f_2,V_Pa_2] : % 208.85/209.53 ( ! [B_x] : % 208.85/209.53 ( hBOOL(hAPP(V_Pa_2,B_x)) % 208.85/209.53 => 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))) ) % 208.85/209.53 => 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))))) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Min_Oremove,axiom, % 208.85/209.53 ! [V_x_2,V_A_2,T_b] : % 208.85/209.53 ( class_Orderings_Olinorder(T_b) % 208.85/209.53 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.53 => ( ( 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)) % 208.85/209.53 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) % 208.85/209.53 & ( 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)) % 208.85/209.53 => 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)))))) ) ) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Max_Oremove,axiom, % 208.85/209.53 ! [V_x_2,V_A_2,T_b] : % 208.85/209.53 ( class_Orderings_Olinorder(T_b) % 208.85/209.53 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.53 => ( ( 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)) % 208.85/209.53 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) % 208.85/209.53 & ( 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)) % 208.85/209.53 => 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)))))) ) ) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_image__split__eq__Sigma,axiom, % 208.85/209.53 ! [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))) ). % 208.85/209.53 % 208.85/209.53 fof(fact_folding__one__idem_Ohom__commute,axiom, % 208.85/209.53 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_b] : % 208.85/209.53 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 208.85/209.53 => ( ! [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)) % 208.85/209.53 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 208.85/209.53 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.53 => 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)) ) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_less__zeroE,axiom, % 208.85/209.53 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 208.85/209.53 % 208.85/209.53 fof(fact_le0,axiom, % 208.85/209.53 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ). % 208.85/209.53 % 208.85/209.53 fof(fact_zero__less__Suc,axiom, % 208.85/209.53 ! [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))) ). % 208.85/209.53 % 208.85/209.53 fof(fact_SigmaI,axiom, % 208.85/209.53 ! [V_B_2,V_ba_2,T_c,V_A_2,V_a_2,T_b] : % 208.85/209.53 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_ba_2),hAPP(V_B_2,V_a_2))) % 208.85/209.53 => 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))) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_bot__nat__def,axiom, % 208.85/209.53 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Odistrib__inf__le,axiom, % 208.85/209.53 ! [V_z,V_y,V_x,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => 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)))) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Odistrib__sup__le,axiom, % 208.85/209.53 ! [V_z,V_y,V_x,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => 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)))) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_zero__reorient,axiom, % 208.85/209.53 ! [V_x_2,T_b] : % 208.85/209.53 ( class_Groups_Ozero(T_b) % 208.85/209.53 => ( c_Groups_Ozero__class_Ozero(T_b) = V_x_2 % 208.85/209.53 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Oinf__sup__distrib2,axiom, % 208.85/209.53 ! [V_x,V_z,V_y,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => 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)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Osup__inf__distrib2,axiom, % 208.85/209.53 ! [V_x,V_z,V_y,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => 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)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Oinf__assoc,axiom, % 208.85/209.53 ! [V_z,V_y,V_x,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => 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)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Oinf_Oassoc,axiom, % 208.85/209.53 ! [V_c,V_b,V_a,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => 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)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Osup__assoc,axiom, % 208.85/209.53 ! [V_z,V_y,V_x,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => 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)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Osup_Oassoc,axiom, % 208.85/209.53 ! [V_c,V_b,V_a,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => 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)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Oinf__sup__distrib1,axiom, % 208.85/209.53 ! [V_z,V_y,V_x,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => 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)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Osup__inf__distrib1,axiom, % 208.85/209.53 ! [V_z,V_y,V_x,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => 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)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Oinf__left__commute,axiom, % 208.85/209.53 ! [V_z,V_y,V_x,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => 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)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Oinf_Oleft__commute,axiom, % 208.85/209.53 ! [V_c,V_a,V_b,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => 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)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Osup__left__commute,axiom, % 208.85/209.53 ! [V_z,V_y,V_x,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => 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)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Osup_Oleft__commute,axiom, % 208.85/209.53 ! [V_c,V_a,V_b,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => 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)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Oinf__left__idem,axiom, % 208.85/209.53 ! [V_y,V_x,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => 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) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Oinf_Oleft__idem,axiom, % 208.85/209.53 ! [V_b,V_a,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => 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) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Osup__left__idem,axiom, % 208.85/209.53 ! [V_y,V_x,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => 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) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Osup_Oleft__idem,axiom, % 208.85/209.53 ! [V_b,V_a,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => 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) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Oinf__sup__absorb,axiom, % 208.85/209.53 ! [V_y,V_x,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => 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 ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Osup__inf__absorb,axiom, % 208.85/209.53 ! [V_y,V_x,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => 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 ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Oinf__commute,axiom, % 208.85/209.53 ! [V_y,V_x,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => 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) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Oinf_Ocommute,axiom, % 208.85/209.53 ! [V_b,V_a,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => 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) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Osup__commute,axiom, % 208.85/209.53 ! [V_y,V_x,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => 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) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Osup_Ocommute,axiom, % 208.85/209.53 ! [V_b,V_a,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => 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) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Oinf_Oidem,axiom, % 208.85/209.53 ! [V_a,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Osup_Oidem,axiom, % 208.85/209.53 ! [V_a,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_minus__max__eq__min,axiom, % 208.85/209.53 ! [V_y,V_x,T_a] : % 208.85/209.53 ( class_Groups_Olinordered__ab__group__add(T_a) % 208.85/209.53 => 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)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_minus__min__eq__max,axiom, % 208.85/209.53 ! [V_y,V_x,T_a] : % 208.85/209.53 ( class_Groups_Olinordered__ab__group__add(T_a) % 208.85/209.53 => 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)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_max__0R,axiom, % 208.85/209.53 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__0R,axiom, % 208.85/209.53 ! [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) ). % 208.85/209.53 % 208.85/209.53 fof(fact_max__0L,axiom, % 208.85/209.53 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__0L,axiom, % 208.85/209.53 ! [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) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Min_Oidem,axiom, % 208.85/209.53 ! [V_x,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Max_Oidem,axiom, % 208.85/209.53 ! [V_x,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_le__maxI1,axiom, % 208.85/209.53 ! [V_y,V_x,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => 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))) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_le__maxI2,axiom, % 208.85/209.53 ! [V_x,V_y,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => 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))) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Ole__iff__sup,axiom, % 208.85/209.53 ! [V_y_2,V_x_2,T_b] : % 208.85/209.53 ( class_Orderings_Olinorder(T_b) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 208.85/209.53 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2) = V_y_2 ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Ole__sup__iff,axiom, % 208.85/209.53 ! [V_z_2,V_y_2,V_x_2,T_b] : % 208.85/209.53 ( class_Orderings_Olinorder(T_b) % 208.85/209.53 => ( 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)) % 208.85/209.53 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 208.85/209.53 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Ole__supI1,axiom, % 208.85/209.53 ! [V_b,V_a,V_x,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 208.85/209.53 => 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))) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Ole__supI2,axiom, % 208.85/209.53 ! [V_a,V_b,V_x,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 208.85/209.53 => 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))) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Osup__absorb2,axiom, % 208.85/209.53 ! [V_y,V_x,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 208.85/209.53 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Osup__absorb1,axiom, % 208.85/209.53 ! [V_x,V_y,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 208.85/209.53 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Ole__supI,axiom, % 208.85/209.53 ! [V_b,V_x,V_a,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 208.85/209.53 => 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)) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Osup__least,axiom, % 208.85/209.53 ! [V_z,V_x,V_y,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) % 208.85/209.53 => 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)) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Osup__mono,axiom, % 208.85/209.53 ! [V_d,V_b,V_c,V_a,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 208.85/209.53 => 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))) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Ole__supE,axiom, % 208.85/209.53 ! [V_x,V_b,V_a,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => ( 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)) % 208.85/209.53 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 208.85/209.53 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_le__max__iff__disj,axiom, % 208.85/209.53 ! [V_y_2,V_x_2,V_z_2,T_b] : % 208.85/209.53 ( class_Orderings_Olinorder(T_b) % 208.85/209.53 => ( 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))) % 208.85/209.53 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_x_2)) % 208.85/209.53 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_y_2)) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Oinf__le1,axiom, % 208.85/209.53 ! [V_y,V_x,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => 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)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Oinf__le2,axiom, % 208.85/209.53 ! [V_y,V_x,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => 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)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Ole__iff__inf,axiom, % 208.85/209.53 ! [V_y_2,V_x_2,T_b] : % 208.85/209.53 ( class_Orderings_Olinorder(T_b) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 208.85/209.53 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2) = V_x_2 ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Ole__inf__iff,axiom, % 208.85/209.53 ! [V_z_2,V_y_2,V_x_2,T_b] : % 208.85/209.53 ( class_Orderings_Olinorder(T_b) % 208.85/209.53 => ( 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))) % 208.85/209.53 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 208.85/209.53 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Ole__infI1,axiom, % 208.85/209.53 ! [V_b,V_x,V_a,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 208.85/209.53 => 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)) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Ole__infI2,axiom, % 208.85/209.53 ! [V_a,V_x,V_b,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 208.85/209.53 => 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)) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Oinf__absorb1,axiom, % 208.85/209.53 ! [V_y,V_x,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 208.85/209.53 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Oinf__absorb2,axiom, % 208.85/209.53 ! [V_x,V_y,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 208.85/209.53 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Ole__infI,axiom, % 208.85/209.53 ! [V_b,V_a,V_x,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 208.85/209.53 => 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))) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Oinf__greatest,axiom, % 208.85/209.53 ! [V_z,V_y,V_x,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) % 208.85/209.53 => 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))) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Oinf__mono,axiom, % 208.85/209.53 ! [V_d,V_b,V_c,V_a,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 208.85/209.53 => 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))) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Ole__infE,axiom, % 208.85/209.53 ! [V_b,V_a,V_x,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => ( 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))) % 208.85/209.53 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 208.85/209.53 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__le__iff__disj,axiom, % 208.85/209.53 ! [V_z_2,V_y_2,V_x_2,T_b] : % 208.85/209.53 ( class_Orderings_Olinorder(T_b) % 208.85/209.53 => ( 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)) % 208.85/209.53 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 208.85/209.53 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_max__less__iff__conj,axiom, % 208.85/209.53 ! [V_z_2,V_y_2,V_x_2,T_b] : % 208.85/209.53 ( class_Orderings_Olinorder(T_b) % 208.85/209.53 => ( 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)) % 208.85/209.53 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2)) % 208.85/209.53 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_less__max__iff__disj,axiom, % 208.85/209.53 ! [V_y_2,V_x_2,V_z_2,T_b] : % 208.85/209.53 ( class_Orderings_Olinorder(T_b) % 208.85/209.53 => ( 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))) % 208.85/209.53 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2)) % 208.85/209.53 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Oless__supI2,axiom, % 208.85/209.53 ! [V_a,V_b,V_x,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b)) % 208.85/209.53 => 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))) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Oless__supI1,axiom, % 208.85/209.53 ! [V_b,V_a,V_x,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 208.85/209.53 => 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))) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__less__iff__disj,axiom, % 208.85/209.53 ! [V_z_2,V_y_2,V_x_2,T_b] : % 208.85/209.53 ( class_Orderings_Olinorder(T_b) % 208.85/209.53 => ( 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)) % 208.85/209.53 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2)) % 208.85/209.53 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__less__iff__conj,axiom, % 208.85/209.53 ! [V_y_2,V_x_2,V_z_2,T_b] : % 208.85/209.53 ( class_Orderings_Olinorder(T_b) % 208.85/209.53 => ( 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))) % 208.85/209.53 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2)) % 208.85/209.53 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Oless__infI2,axiom, % 208.85/209.53 ! [V_a,V_x,V_b,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x)) % 208.85/209.53 => 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)) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Oless__infI1,axiom, % 208.85/209.53 ! [V_b,V_x,V_a,T_a] : % 208.85/209.53 ( class_Orderings_Olinorder(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x)) % 208.85/209.53 => 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)) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_max__add__distrib__left,axiom, % 208.85/209.53 ! [V_z,V_y,V_x,T_a] : % 208.85/209.53 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 208.85/209.53 => 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)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__add__distrib__left,axiom, % 208.85/209.53 ! [V_z,V_y,V_x,T_a] : % 208.85/209.53 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 208.85/209.53 => 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)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_max__diff__distrib__left,axiom, % 208.85/209.53 ! [V_z,V_y,V_x,T_a] : % 208.85/209.53 ( class_Groups_Oordered__ab__group__add(T_a) % 208.85/209.53 => 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)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__diff__distrib__left,axiom, % 208.85/209.53 ! [V_z,V_y,V_x,T_a] : % 208.85/209.53 ( class_Groups_Oordered__ab__group__add(T_a) % 208.85/209.53 => 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)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_sup__max,axiom, % 208.85/209.53 ! [T_b] : % 208.85/209.53 ( ( class_Lattices_Osemilattice__sup(T_b) % 208.85/209.53 & class_Orderings_Olinorder(T_b) ) % 208.85/209.53 => c_Lattices_Osemilattice__sup__class_Osup(T_b) = c_Orderings_Oord__class_Omax(T_b) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_inf__min,axiom, % 208.85/209.53 ! [T_b] : % 208.85/209.53 ( ( class_Lattices_Osemilattice__inf(T_b) % 208.85/209.53 & class_Orderings_Olinorder(T_b) ) % 208.85/209.53 => c_Lattices_Osemilattice__inf__class_Oinf(T_b) = c_Orderings_Oord__class_Omin(T_b) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_max__Suc__Suc,axiom, % 208.85/209.53 ! [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)) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__Suc__Suc,axiom, % 208.85/209.53 ! [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)) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__diff,axiom, % 208.85/209.53 ! [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) ). % 208.85/209.53 % 208.85/209.53 fof(fact_add__0__iff,axiom, % 208.85/209.53 ! [V_a_2,V_ba_2,T_b] : % 208.85/209.53 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 208.85/209.53 => ( V_ba_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_ba_2),V_a_2) % 208.85/209.53 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom, % 208.85/209.53 ! [V_a,T_a] : % 208.85/209.53 ( class_Rings_Ocomm__semiring__1(T_a) % 208.85/209.53 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom, % 208.85/209.53 ! [V_a,T_a] : % 208.85/209.53 ( class_Rings_Ocomm__semiring__1(T_a) % 208.85/209.53 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_add_Ocomm__neutral,axiom, % 208.85/209.53 ! [V_a,T_a] : % 208.85/209.53 ( class_Groups_Ocomm__monoid__add(T_a) % 208.85/209.53 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_add__0__right,axiom, % 208.85/209.53 ! [V_a,T_a] : % 208.85/209.53 ( class_Groups_Omonoid__add(T_a) % 208.85/209.53 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_double__zero__sym,axiom, % 208.85/209.53 ! [V_a_2,T_b] : % 208.85/209.53 ( class_Groups_Olinordered__ab__group__add(T_b) % 208.85/209.53 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) % 208.85/209.53 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_add__0,axiom, % 208.85/209.53 ! [V_a,T_a] : % 208.85/209.53 ( class_Groups_Ocomm__monoid__add(T_a) % 208.85/209.53 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_add__0__left,axiom, % 208.85/209.53 ! [V_a,T_a] : % 208.85/209.53 ( class_Groups_Omonoid__add(T_a) % 208.85/209.53 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__zero__left,axiom, % 208.85/209.53 ! [V_a,T_a] : % 208.85/209.53 ( class_Rings_Omult__zero(T_a) % 208.85/209.53 => 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) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__zero__right,axiom, % 208.85/209.53 ! [V_a,T_a] : % 208.85/209.53 ( class_Rings_Omult__zero(T_a) % 208.85/209.53 => 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) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__eq__0__iff,axiom, % 208.85/209.53 ! [V_ba_2,V_a_2,T_b] : % 208.85/209.53 ( class_Rings_Oring__no__zero__divisors(T_b) % 208.85/209.53 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ba_2) = c_Groups_Ozero__class_Ozero(T_b) % 208.85/209.53 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b) % 208.85/209.53 | V_ba_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_no__zero__divisors,axiom, % 208.85/209.53 ! [V_b,V_a,T_a] : % 208.85/209.53 ( class_Rings_Ono__zero__divisors(T_a) % 208.85/209.53 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 208.85/209.53 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 208.85/209.53 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_divisors__zero,axiom, % 208.85/209.53 ! [V_b,V_a,T_a] : % 208.85/209.53 ( class_Rings_Ono__zero__divisors(T_a) % 208.85/209.53 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) % 208.85/209.53 => ( V_a = c_Groups_Ozero__class_Ozero(T_a) % 208.85/209.53 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom, % 208.85/209.53 ! [V_a,T_a] : % 208.85/209.53 ( class_Rings_Ocomm__semiring__1(T_a) % 208.85/209.53 => 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) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom, % 208.85/209.53 ! [V_a,T_a] : % 208.85/209.53 ( class_Rings_Ocomm__semiring__1(T_a) % 208.85/209.53 => 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) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_diff__0__right,axiom, % 208.85/209.53 ! [V_a,T_a] : % 208.85/209.53 ( class_Groups_Ogroup__add(T_a) % 208.85/209.53 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_diff__self,axiom, % 208.85/209.53 ! [V_a,T_a] : % 208.85/209.53 ( class_Groups_Ogroup__add(T_a) % 208.85/209.53 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_eq__iff__diff__eq__0,axiom, % 208.85/209.53 ! [V_ba_2,V_a_2,T_b] : % 208.85/209.53 ( class_Groups_Oab__group__add(T_b) % 208.85/209.53 => ( V_a_2 = V_ba_2 % 208.85/209.53 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_ba_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_right__minus__eq,axiom, % 208.85/209.53 ! [V_ba_2,V_a_2,T_b] : % 208.85/209.53 ( class_Groups_Ogroup__add(T_b) % 208.85/209.53 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_ba_2) = c_Groups_Ozero__class_Ozero(T_b) % 208.85/209.53 <=> V_a_2 = V_ba_2 ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_zero__neq__one,axiom, % 208.85/209.53 ! [T_a] : % 208.85/209.53 ( class_Rings_Ozero__neq__one(T_a) % 208.85/209.53 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_one__neq__zero,axiom, % 208.85/209.53 ! [T_a] : % 208.85/209.53 ( class_Rings_Ozero__neq__one(T_a) % 208.85/209.53 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_minus__zero,axiom, % 208.85/209.53 ! [T_a] : % 208.85/209.53 ( class_Groups_Ogroup__add(T_a) % 208.85/209.53 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_neg__0__equal__iff__equal,axiom, % 208.85/209.53 ! [V_a_2,T_b] : % 208.85/209.53 ( class_Groups_Ogroup__add(T_b) % 208.85/209.53 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) % 208.85/209.53 <=> c_Groups_Ozero__class_Ozero(T_b) = V_a_2 ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_equal__neg__zero,axiom, % 208.85/209.53 ! [V_a_2,T_b] : % 208.85/209.53 ( class_Groups_Olinordered__ab__group__add(T_b) % 208.85/209.53 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) % 208.85/209.53 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_neg__equal__0__iff__equal,axiom, % 208.85/209.53 ! [V_a_2,T_b] : % 208.85/209.53 ( class_Groups_Ogroup__add(T_b) % 208.85/209.53 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 208.85/209.53 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_neg__equal__zero,axiom, % 208.85/209.53 ! [V_a_2,T_b] : % 208.85/209.53 ( class_Groups_Olinordered__ab__group__add(T_b) % 208.85/209.53 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_a_2 % 208.85/209.53 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Suc__neq__Zero,axiom, % 208.85/209.53 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Zero__neq__Suc,axiom, % 208.85/209.53 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ). % 208.85/209.53 % 208.85/209.53 fof(fact_nat_Osimps_I3_J,axiom, % 208.85/209.53 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Suc__not__Zero,axiom, % 208.85/209.53 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 208.85/209.53 % 208.85/209.53 fof(fact_nat_Osimps_I2_J,axiom, % 208.85/209.53 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Zero__not__Suc,axiom, % 208.85/209.53 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ). % 208.85/209.53 % 208.85/209.53 fof(fact_gr0I,axiom, % 208.85/209.53 ! [V_n] : % 208.85/209.53 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 208.85/209.53 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_gr__implies__not0,axiom, % 208.85/209.53 ! [V_n,V_m] : % 208.85/209.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 208.85/209.53 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_less__nat__zero__code,axiom, % 208.85/209.53 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 208.85/209.53 % 208.85/209.53 fof(fact_neq0__conv,axiom, % 208.85/209.53 ! [V_n_2] : % 208.85/209.53 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 208.85/209.53 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_not__less0,axiom, % 208.85/209.53 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Times__eq__cancel2,axiom, % 208.85/209.53 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] : % 208.85/209.53 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2)) % 208.85/209.53 => ( 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)) % 208.85/209.53 <=> V_A_2 = V_B_2 ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_add__eq__self__zero,axiom, % 208.85/209.53 ! [V_n,V_m] : % 208.85/209.53 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m % 208.85/209.53 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_add__is__0,axiom, % 208.85/209.53 ! [V_n_2,V_m_2] : % 208.85/209.53 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 208.85/209.53 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 208.85/209.53 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Nat_Oadd__0__right,axiom, % 208.85/209.53 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ). % 208.85/209.53 % 208.85/209.53 fof(fact_plus__nat_Oadd__0,axiom, % 208.85/209.53 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ). % 208.85/209.53 % 208.85/209.53 fof(fact_le__0__eq,axiom, % 208.85/209.53 ! [V_n_2] : % 208.85/209.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 208.85/209.53 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_less__eq__nat_Osimps_I1_J,axiom, % 208.85/209.53 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ). % 208.85/209.53 % 208.85/209.53 fof(fact_diff__0__eq__0,axiom, % 208.85/209.53 ! [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) ). % 208.85/209.53 % 208.85/209.53 fof(fact_minus__nat_Odiff__0,axiom, % 208.85/209.53 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ). % 208.85/209.53 % 208.85/209.53 fof(fact_diff__self__eq__0,axiom, % 208.85/209.53 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 208.85/209.53 % 208.85/209.53 fof(fact_diffs0__imp__equal,axiom, % 208.85/209.53 ! [V_n,V_m] : % 208.85/209.53 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 208.85/209.53 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 208.85/209.53 => V_m = V_n ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__0,axiom, % 208.85/209.53 ! [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) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__0__right,axiom, % 208.85/209.53 ! [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) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__is__0,axiom, % 208.85/209.53 ! [V_n_2,V_m_2] : % 208.85/209.53 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 208.85/209.53 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 208.85/209.53 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__cancel1,axiom, % 208.85/209.53 ! [V_n_2,V_m_2,V_k_2] : % 208.85/209.53 ( 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) % 208.85/209.53 <=> ( V_m_2 = V_n_2 % 208.85/209.53 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__cancel2,axiom, % 208.85/209.53 ! [V_n_2,V_k_2,V_m_2] : % 208.85/209.53 ( 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) % 208.85/209.53 <=> ( V_m_2 = V_n_2 % 208.85/209.53 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_nat__mult__eq__cancel__disj,axiom, % 208.85/209.53 ! [V_n_2,V_m_2,V_k_2] : % 208.85/209.53 ( 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) % 208.85/209.53 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 208.85/209.53 | V_m_2 = V_n_2 ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_UN__Times__distrib,axiom, % 208.85/209.53 ! [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))) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom, % 208.85/209.53 ! [T_b] : % 208.85/209.53 ( class_Orderings_Olinorder(T_b) % 208.85/209.53 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom, % 208.85/209.53 ! [T_b] : % 208.85/209.53 ( class_Orderings_Olinorder(T_b) % 208.85/209.53 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Sigma__empty1,axiom, % 208.85/209.53 ! [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)) ). % 208.85/209.53 % 208.85/209.53 fof(fact_nat__minus__add__max,axiom, % 208.85/209.53 ! [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) ). % 208.85/209.53 % 208.85/209.53 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom, % 208.85/209.53 ! [V_a_2,T_b] : % 208.85/209.53 ( class_Groups_Olinordered__ab__group__add(T_b) % 208.85/209.53 => ( 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))) % 208.85/209.53 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom, % 208.85/209.53 ! [V_a_2,T_b] : % 208.85/209.53 ( class_Groups_Olinordered__ab__group__add(T_b) % 208.85/209.53 => ( 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))) % 208.85/209.53 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_add__nonneg__nonneg,axiom, % 208.85/209.53 ! [V_b,V_a,T_a] : % 208.85/209.53 ( class_Groups_Oordered__comm__monoid__add(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 208.85/209.53 => 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))) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_add__nonneg__eq__0__iff,axiom, % 208.85/209.53 ! [V_y_2,V_x_2,T_b] : % 208.85/209.53 ( class_Groups_Oordered__comm__monoid__add(T_b) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_x_2)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_y_2)) % 208.85/209.53 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_b) % 208.85/209.53 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 208.85/209.53 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_add__increasing,axiom, % 208.85/209.53 ! [V_c,V_b,V_a,T_a] : % 208.85/209.53 ( class_Groups_Oordered__comm__monoid__add(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 208.85/209.53 => 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))) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_add__increasing2,axiom, % 208.85/209.53 ! [V_a,V_b,V_c,T_a] : % 208.85/209.53 ( class_Groups_Oordered__comm__monoid__add(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 208.85/209.53 => 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))) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_add__nonpos__nonpos,axiom, % 208.85/209.53 ! [V_b,V_a,T_a] : % 208.85/209.53 ( class_Groups_Oordered__comm__monoid__add(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 208.85/209.53 => 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))) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_split__mult__neg__le,axiom, % 208.85/209.53 ! [V_b,V_a,T_a] : % 208.85/209.53 ( class_Rings_Oordered__cancel__semiring(T_a) % 208.85/209.53 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 208.85/209.53 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) % 208.85/209.53 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 208.85/209.53 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) % 208.85/209.53 => 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))) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_split__mult__pos__le,axiom, % 208.85/209.53 ! [V_b,V_a,T_a] : % 208.85/209.53 ( class_Rings_Oordered__ring(T_a) % 208.85/209.53 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 208.85/209.53 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) % 208.85/209.53 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 208.85/209.53 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) ) % 208.85/209.53 => 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))) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__mono,axiom, % 208.85/209.53 ! [V_d,V_c,V_b,V_a,T_a] : % 208.85/209.53 ( class_Rings_Oordered__semiring(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 208.85/209.53 => 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))) ) ) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__mono_H,axiom, % 208.85/209.53 ! [V_d,V_c,V_b,V_a,T_a] : % 208.85/209.53 ( class_Rings_Oordered__semiring(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 208.85/209.53 => 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))) ) ) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__left__mono__neg,axiom, % 208.85/209.53 ! [V_c,V_a,V_b,T_a] : % 208.85/209.53 ( class_Rings_Oordered__ring(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 208.85/209.53 => 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))) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__right__mono__neg,axiom, % 208.85/209.53 ! [V_c,V_a,V_b,T_a] : % 208.85/209.53 ( class_Rings_Oordered__ring(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 208.85/209.53 => 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))) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_comm__mult__left__mono,axiom, % 208.85/209.53 ! [V_c,V_b,V_a,T_a] : % 208.85/209.53 ( class_Rings_Oordered__comm__semiring(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 208.85/209.53 => 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))) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__left__mono,axiom, % 208.85/209.53 ! [V_c,V_b,V_a,T_a] : % 208.85/209.53 ( class_Rings_Oordered__semiring(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 208.85/209.53 => 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))) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__right__mono,axiom, % 208.85/209.53 ! [V_c,V_b,V_a,T_a] : % 208.85/209.53 ( class_Rings_Oordered__semiring(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 208.85/209.53 => 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))) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__nonpos__nonpos,axiom, % 208.85/209.53 ! [V_b,V_a,T_a] : % 208.85/209.53 ( class_Rings_Oordered__ring(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 208.85/209.53 => 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))) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__nonpos__nonneg,axiom, % 208.85/209.53 ! [V_b,V_a,T_a] : % 208.85/209.53 ( class_Rings_Oordered__cancel__semiring(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 208.85/209.53 => 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))) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__nonneg__nonpos2,axiom, % 208.85/209.53 ! [V_b,V_a,T_a] : % 208.85/209.53 ( class_Rings_Oordered__cancel__semiring(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 208.85/209.53 => 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))) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__nonneg__nonpos,axiom, % 208.85/209.53 ! [V_b,V_a,T_a] : % 208.85/209.53 ( class_Rings_Oordered__cancel__semiring(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 208.85/209.53 => 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))) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__nonneg__nonneg,axiom, % 208.85/209.53 ! [V_b,V_a,T_a] : % 208.85/209.53 ( class_Rings_Oordered__cancel__semiring(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 208.85/209.53 => 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))) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__le__0__iff,axiom, % 208.85/209.53 ! [V_ba_2,V_a_2,T_b] : % 208.85/209.53 ( class_Rings_Olinordered__ring__strict(T_b) % 208.85/209.53 => ( 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))) % 208.85/209.53 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 208.85/209.53 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 208.85/209.53 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 208.85/209.53 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ba_2)) ) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_zero__le__mult__iff,axiom, % 208.85/209.53 ! [V_ba_2,V_a_2,T_b] : % 208.85/209.53 ( class_Rings_Olinordered__ring__strict(T_b) % 208.85/209.53 => ( 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))) % 208.85/209.53 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 208.85/209.53 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ba_2)) ) % 208.85/209.53 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 208.85/209.53 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_zero__le__square,axiom, % 208.85/209.53 ! [V_a,T_a] : % 208.85/209.53 ( class_Rings_Olinordered__ring(T_a) % 208.85/209.53 => 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))) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_pos__add__strict,axiom, % 208.85/209.53 ! [V_c,V_b,V_a,T_a] : % 208.85/209.53 ( class_Rings_Olinordered__semidom(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 208.85/209.53 => 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))) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom, % 208.85/209.53 ! [V_a_2,T_b] : % 208.85/209.53 ( class_Groups_Olinordered__ab__group__add(T_b) % 208.85/209.53 => ( 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))) % 208.85/209.53 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom, % 208.85/209.53 ! [V_a_2,T_b] : % 208.85/209.53 ( class_Groups_Olinordered__ab__group__add(T_b) % 208.85/209.53 => ( 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))) % 208.85/209.53 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_add__pos__pos,axiom, % 208.85/209.53 ! [V_b,V_a,T_a] : % 208.85/209.53 ( class_Groups_Oordered__comm__monoid__add(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 208.85/209.53 => 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))) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_add__neg__neg,axiom, % 208.85/209.53 ! [V_b,V_a,T_a] : % 208.85/209.53 ( class_Groups_Oordered__comm__monoid__add(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 208.85/209.53 => 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))) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_not__square__less__zero,axiom, % 208.85/209.53 ! [V_a,T_a] : % 208.85/209.53 ( class_Rings_Olinordered__ring(T_a) % 208.85/209.53 => ~ 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))) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__less__cancel__right__disj,axiom, % 208.85/209.53 ! [V_ba_2,V_ca_2,V_a_2,T_b] : % 208.85/209.53 ( class_Rings_Olinordered__ring__strict(T_b) % 208.85/209.53 => ( 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))) % 208.85/209.53 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 208.85/209.53 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2)) ) % 208.85/209.53 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 208.85/209.53 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),V_a_2)) ) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__less__cancel__left__disj,axiom, % 208.85/209.53 ! [V_ba_2,V_a_2,V_ca_2,T_b] : % 208.85/209.53 ( class_Rings_Olinordered__ring__strict(T_b) % 208.85/209.53 => ( 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))) % 208.85/209.53 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 208.85/209.53 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2)) ) % 208.85/209.53 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 208.85/209.53 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),V_a_2)) ) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__less__cancel__left__pos,axiom, % 208.85/209.53 ! [V_ba_2,V_a_2,V_ca_2,T_b] : % 208.85/209.53 ( class_Rings_Olinordered__ring__strict(T_b) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 208.85/209.53 => ( 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))) % 208.85/209.53 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2)) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__pos__pos,axiom, % 208.85/209.53 ! [V_b,V_a,T_a] : % 208.85/209.53 ( class_Rings_Olinordered__semiring__strict(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 208.85/209.53 => 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))) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__pos__neg,axiom, % 208.85/209.53 ! [V_b,V_a,T_a] : % 208.85/209.53 ( class_Rings_Olinordered__semiring__strict(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 208.85/209.53 => 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))) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__pos__neg2,axiom, % 208.85/209.53 ! [V_b,V_a,T_a] : % 208.85/209.53 ( class_Rings_Olinordered__semiring__strict(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 208.85/209.53 => 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))) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_zero__less__mult__pos,axiom, % 208.85/209.53 ! [V_b,V_a,T_a] : % 208.85/209.53 ( class_Rings_Olinordered__semiring__strict(T_a) % 208.85/209.53 => ( 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))) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 208.85/209.53 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_zero__less__mult__pos2,axiom, % 208.85/209.53 ! [V_a,V_b,T_a] : % 208.85/209.53 ( class_Rings_Olinordered__semiring__strict(T_a) % 208.85/209.53 => ( 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))) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 208.85/209.53 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__less__cancel__left__neg,axiom, % 208.85/209.53 ! [V_ba_2,V_a_2,V_ca_2,T_b] : % 208.85/209.53 ( class_Rings_Olinordered__ring__strict(T_b) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 208.85/209.53 => ( 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))) % 208.85/209.53 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),V_a_2)) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__neg__pos,axiom, % 208.85/209.53 ! [V_b,V_a,T_a] : % 208.85/209.53 ( class_Rings_Olinordered__semiring__strict(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 208.85/209.53 => 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))) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__neg__neg,axiom, % 208.85/209.53 ! [V_b,V_a,T_a] : % 208.85/209.53 ( class_Rings_Olinordered__ring__strict(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 208.85/209.53 => 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))) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__strict__right__mono,axiom, % 208.85/209.53 ! [V_c,V_b,V_a,T_a] : % 208.85/209.53 ( class_Rings_Olinordered__semiring__strict(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 208.85/209.53 => 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))) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__strict__left__mono,axiom, % 208.85/209.53 ! [V_c,V_b,V_a,T_a] : % 208.85/209.53 ( class_Rings_Olinordered__semiring__strict(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 208.85/209.53 => 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))) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_comm__mult__strict__left__mono,axiom, % 208.85/209.53 ! [V_c,V_b,V_a,T_a] : % 208.85/209.53 ( class_Rings_Olinordered__comm__semiring__strict(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 208.85/209.53 => 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))) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__strict__right__mono__neg,axiom, % 208.85/209.53 ! [V_c,V_a,V_b,T_a] : % 208.85/209.53 ( class_Rings_Olinordered__ring__strict(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 208.85/209.53 => 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))) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__strict__left__mono__neg,axiom, % 208.85/209.53 ! [V_c,V_a,V_b,T_a] : % 208.85/209.53 ( class_Rings_Olinordered__ring__strict(T_a) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 208.85/209.53 => 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))) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_le__iff__diff__le__0,axiom, % 208.85/209.53 ! [V_ba_2,V_a_2,T_b] : % 208.85/209.53 ( class_Groups_Oordered__ab__group__add(T_b) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_ba_2)) % 208.85/209.53 <=> 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))) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_less__iff__diff__less__0,axiom, % 208.85/209.53 ! [V_ba_2,V_a_2,T_b] : % 208.85/209.53 ( class_Groups_Oordered__ab__group__add(T_b) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2)) % 208.85/209.53 <=> 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))) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_add__scale__eq__noteq,axiom, % 208.85/209.53 ! [V_d,V_c,V_b,V_a,V_r,T_a] : % 208.85/209.53 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a) % 208.85/209.53 => ( V_r != c_Groups_Ozero__class_Ozero(T_a) % 208.85/209.53 => ( ( V_a = V_b % 208.85/209.53 & V_c != V_d ) % 208.85/209.53 => 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)) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_sum__squares__eq__zero__iff,axiom, % 208.85/209.53 ! [V_y_2,V_x_2,T_b] : % 208.85/209.53 ( class_Rings_Olinordered__ring__strict(T_b) % 208.85/209.53 => ( 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) % 208.85/209.53 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 208.85/209.53 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_not__one__le__zero,axiom, % 208.85/209.53 ! [T_a] : % 208.85/209.53 ( class_Rings_Olinordered__semidom(T_a) % 208.85/209.53 => ~ 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))) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_zero__le__one,axiom, % 208.85/209.53 ! [T_a] : % 208.85/209.53 ( class_Rings_Olinordered__semidom(T_a) % 208.85/209.53 => 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))) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_not__one__less__zero,axiom, % 208.85/209.53 ! [T_a] : % 208.85/209.53 ( class_Rings_Olinordered__semidom(T_a) % 208.85/209.53 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_zero__less__one,axiom, % 208.85/209.53 ! [T_a] : % 208.85/209.53 ( class_Rings_Olinordered__semidom(T_a) % 208.85/209.53 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_minus__le__self__iff,axiom, % 208.85/209.53 ! [V_a_2,T_b] : % 208.85/209.53 ( class_Groups_Olinordered__ab__group__add(T_b) % 208.85/209.53 => ( 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)) % 208.85/209.53 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_neg__le__0__iff__le,axiom, % 208.85/209.53 ! [V_a_2,T_b] : % 208.85/209.53 ( class_Groups_Oordered__ab__group__add(T_b) % 208.85/209.53 => ( 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))) % 208.85/209.53 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_le__minus__self__iff,axiom, % 208.85/209.53 ! [V_a_2,T_b] : % 208.85/209.53 ( class_Groups_Olinordered__ab__group__add(T_b) % 208.85/209.53 => ( 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))) % 208.85/209.53 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_neg__0__le__iff__le,axiom, % 208.85/209.53 ! [V_a_2,T_b] : % 208.85/209.53 ( class_Groups_Oordered__ab__group__add(T_b) % 208.85/209.53 => ( 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))) % 208.85/209.53 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_less__minus__self__iff,axiom, % 208.85/209.53 ! [V_a_2,T_b] : % 208.85/209.53 ( class_Rings_Olinordered__idom(T_b) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) % 208.85/209.53 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_neg__0__less__iff__less,axiom, % 208.85/209.53 ! [V_a_2,T_b] : % 208.85/209.53 ( class_Groups_Oordered__ab__group__add(T_b) % 208.85/209.53 => ( 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))) % 208.85/209.53 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_neg__less__0__iff__less,axiom, % 208.85/209.53 ! [V_a_2,T_b] : % 208.85/209.53 ( class_Groups_Oordered__ab__group__add(T_b) % 208.85/209.53 => ( 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))) % 208.85/209.53 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_neg__less__nonneg,axiom, % 208.85/209.53 ! [V_a_2,T_b] : % 208.85/209.53 ( class_Groups_Olinordered__ab__group__add(T_b) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2)) % 208.85/209.53 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_card__cartesian__product,axiom, % 208.85/209.53 ! [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)) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Times__empty,axiom, % 208.85/209.53 ! [V_B_2,V_A_2,T_c,T_b] : % 208.85/209.53 ( 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)) % 208.85/209.53 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 208.85/209.53 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Sigma__empty2,axiom, % 208.85/209.53 ! [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)) ). % 208.85/209.53 % 208.85/209.53 fof(fact_minus__unique,axiom, % 208.85/209.53 ! [V_b,V_a,T_a] : % 208.85/209.53 ( class_Groups_Ogroup__add(T_a) % 208.85/209.53 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) % 208.85/209.53 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_ab__left__minus,axiom, % 208.85/209.53 ! [V_a,T_a] : % 208.85/209.53 ( class_Groups_Oab__group__add(T_a) % 208.85/209.53 => 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) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_left__minus,axiom, % 208.85/209.53 ! [V_a,T_a] : % 208.85/209.53 ( class_Groups_Ogroup__add(T_a) % 208.85/209.53 => 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) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_eq__neg__iff__add__eq__0,axiom, % 208.85/209.53 ! [V_ba_2,V_a_2,T_b] : % 208.85/209.53 ( class_Groups_Ogroup__add(T_b) % 208.85/209.53 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_ba_2) % 208.85/209.53 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_ba_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_right__minus,axiom, % 208.85/209.53 ! [V_a,T_a] : % 208.85/209.53 ( class_Groups_Ogroup__add(T_a) % 208.85/209.53 => 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) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_diff__0,axiom, % 208.85/209.53 ! [V_a,T_a] : % 208.85/209.53 ( class_Groups_Ogroup__add(T_a) % 208.85/209.53 => 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) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Compl__Times__UNIV2,axiom, % 208.85/209.53 ! [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)))) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Compl__Times__UNIV1,axiom, % 208.85/209.53 ! [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))) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Sigma__Un__distrib2,axiom, % 208.85/209.53 ! [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)) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Times__Un__distrib1,axiom, % 208.85/209.53 ! [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))) ). % 208.85/209.53 % 208.85/209.53 fof(fact_Sigma__Un__distrib1,axiom, % 208.85/209.53 ! [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)) ). % 208.85/209.53 % 208.85/209.53 fof(fact_gr0__conv__Suc,axiom, % 208.85/209.53 ! [V_n_2] : % 208.85/209.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 208.85/209.53 <=> ? [B_m] : V_n_2 = hAPP(c_Nat_OSuc,B_m) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_less__Suc0,axiom, % 208.85/209.53 ! [V_n_2] : % 208.85/209.53 ( 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)))) % 208.85/209.53 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_less__Suc__eq__0__disj,axiom, % 208.85/209.53 ! [V_n_2,V_m_2] : % 208.85/209.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 208.85/209.53 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 208.85/209.53 | ? [B_j] : % 208.85/209.53 ( V_m_2 = hAPP(c_Nat_OSuc,B_j) % 208.85/209.53 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_n_2)) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_add__is__1,axiom, % 208.85/209.53 ! [V_n_2,V_m_2] : % 208.85/209.53 ( 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)) % 208.85/209.53 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 208.85/209.53 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 208.85/209.53 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 208.85/209.53 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_one__is__add,axiom, % 208.85/209.53 ! [V_n_2,V_m_2] : % 208.85/209.53 ( 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) % 208.85/209.53 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 208.85/209.53 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 208.85/209.53 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 208.85/209.53 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_add__gr__0,axiom, % 208.85/209.53 ! [V_n_2,V_m_2] : % 208.85/209.53 ( 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))) % 208.85/209.53 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)) % 208.85/209.53 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_rel__comp__subset__Sigma,axiom, % 208.85/209.53 ! [V_C_2,V_s_2,T_d,V_B_2,V_A_2,V_r_2,T_c,T_b] : % 208.85/209.53 ( 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)))) % 208.85/209.53 => ( 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)))) % 208.85/209.53 => 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)))) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_card_Oempty,axiom, % 208.85/209.53 ! [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) ). % 208.85/209.53 % 208.85/209.53 fof(fact_card__infinite,axiom, % 208.85/209.53 ! [V_A_2,T_b] : % 208.85/209.53 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.53 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__eq__1__iff,axiom, % 208.85/209.53 ! [V_n_2,V_m_2] : % 208.85/209.53 ( 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)) % 208.85/209.53 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 208.85/209.53 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_swap__product,axiom, % 208.85/209.53 ! [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)) ). % 208.85/209.53 % 208.85/209.53 fof(fact_diff__less,axiom, % 208.85/209.53 ! [V_m,V_n] : % 208.85/209.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 208.85/209.53 => 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)) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_zero__less__diff,axiom, % 208.85/209.53 ! [V_m_2,V_n_2] : % 208.85/209.53 ( 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))) % 208.85/209.53 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_nat__0__less__mult__iff,axiom, % 208.85/209.53 ! [V_n_2,V_m_2] : % 208.85/209.53 ( 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))) % 208.85/209.53 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)) % 208.85/209.53 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__less__cancel1,axiom, % 208.85/209.53 ! [V_n_2,V_m_2,V_k_2] : % 208.85/209.53 ( 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))) % 208.85/209.53 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 208.85/209.53 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__less__cancel2,axiom, % 208.85/209.53 ! [V_n_2,V_k_2,V_m_2] : % 208.85/209.53 ( 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))) % 208.85/209.53 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 208.85/209.53 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__less__mono1,axiom, % 208.85/209.53 ! [V_k,V_j,V_i] : % 208.85/209.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 208.85/209.53 => 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))) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_mult__less__mono2,axiom, % 208.85/209.53 ! [V_k,V_j,V_i] : % 208.85/209.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 208.85/209.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 208.85/209.53 => 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))) ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_nat__mult__eq__cancel1,axiom, % 208.85/209.53 ! [V_n_2,V_m_2,V_k_2] : % 208.85/209.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 208.85/209.53 => ( 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) % 208.85/209.53 <=> V_m_2 = V_n_2 ) ) ). % 208.85/209.53 % 208.85/209.53 fof(fact_nat__mult__less__cancel1,axiom, % 208.85/209.53 ! [V_n_2,V_m_2,V_k_2] : % 208.85/209.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 208.85/209.53 => ( 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))) % 208.85/209.53 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 208.85/209.53 % 208.85/209.54 fof(fact_diff__add__0,axiom, % 208.85/209.54 ! [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) ). % 208.85/209.54 % 208.85/209.54 fof(fact_finite__cartesian__product,axiom, % 208.85/209.54 ! [V_B_2,T_c,V_A_2,T_b] : % 208.85/209.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 208.85/209.54 => 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)))) ) ) ). % 208.85/209.54 % 208.85/209.54 fof(fact_diff__is__0__eq,axiom, % 208.85/209.54 ! [V_n_2,V_m_2] : % 208.85/209.54 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 208.85/209.54 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 208.85/209.54 % 208.85/209.54 fof(fact_diff__is__0__eq_H,axiom, % 208.85/209.54 ! [V_n,V_m] : % 208.85/209.54 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 208.85/209.54 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 208.85/209.54 % 208.85/209.54 fof(fact_equiv__type,axiom, % 208.85/209.54 ! [V_r_2,V_A_2,T_b] : % 208.85/209.54 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 208.85/209.54 => 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)))) ) ). % 208.85/209.54 % 208.85/209.54 fof(fact_One__nat__def,axiom, % 208.85/209.54 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 208.85/209.54 % 208.85/209.54 fof(fact_Sigma__Int__distrib2,axiom, % 208.85/209.54 ! [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)) ). % 208.85/209.54 % 208.85/209.54 fof(fact_Times__Int__distrib1,axiom, % 208.85/209.54 ! [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))) ). % 208.85/209.54 % 208.85/209.54 fof(fact_Sigma__Int__distrib1,axiom, % 208.85/209.54 ! [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)) ). % 208.85/209.54 % 208.85/209.54 fof(fact_mult__eq__self__implies__10,axiom, % 208.85/209.54 ! [V_n,V_m] : % 208.85/209.54 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) % 208.85/209.54 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 208.85/209.54 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 208.85/209.54 % 208.85/209.54 fof(fact_Id__on__subset__Times,axiom, % 208.85/209.54 ! [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)))) ). % 208.85/209.54 % 208.85/209.54 fof(fact_Sigma__Diff__distrib2,axiom, % 208.85/209.54 ! [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)) ). % 208.85/209.54 % 208.85/209.54 fof(fact_Times__Diff__distrib1,axiom, % 208.85/209.54 ! [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))) ). % 208.85/209.54 % 208.85/209.54 fof(fact_Sigma__Diff__distrib1,axiom, % 208.85/209.54 ! [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)) ). % 208.85/209.54 % 208.85/209.54 fof(fact_UNIV__Times__UNIV,axiom, % 208.85/209.54 ! [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)) ). % 208.85/209.54 % 208.85/209.54 fof(fact_mem__Sigma__iff,axiom, % 208.85/209.54 ! [V_B_2,V_A_2,V_ba_2,V_a_2,T_c,T_b] : % 208.85/209.54 ( 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))) % 208.85/209.54 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 208.85/209.54 & hBOOL(hAPP(hAPP(c_member(T_c),V_ba_2),hAPP(V_B_2,V_a_2))) ) ) ). % 208.85/209.54 % 208.85/209.54 fof(fact_SigmaD1,axiom, % 208.85/209.54 ! [V_B_2,V_A_2,V_ba_2,V_a_2,T_c,T_b] : % 208.85/209.54 ( 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))) % 208.85/209.54 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ). % 208.85/209.54 % 208.85/209.54 fof(fact_SigmaD2,axiom, % 208.85/209.54 ! [V_B_2,V_A_2,V_ba_2,V_a_2,T_c,T_b] : % 208.85/209.54 ( 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))) % 208.85/209.54 => hBOOL(hAPP(hAPP(c_member(T_c),V_ba_2),hAPP(V_B_2,V_a_2))) ) ). % 208.85/209.54 % 208.85/209.54 fof(fact_SigmaE2,axiom, % 208.85/209.54 ! [V_B_2,V_A_2,V_ba_2,V_a_2,T_c,T_b] : % 208.85/209.54 ( 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))) % 208.85/209.54 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 208.85/209.54 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_ba_2),hAPP(V_B_2,V_a_2))) ) ) ). % 208.85/209.54 % 208.85/209.54 fof(fact_card__cartesian__product__singleton,axiom, % 208.85/209.54 ! [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) ). % 208.85/209.54 % 208.85/209.54 fof(fact_Max_Oin__idem,axiom, % 208.85/209.54 ! [V_x_2,V_A_2,T_b] : % 208.85/209.54 ( class_Orderings_Olinorder(T_b) % 208.85/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.54 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.54 => 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) ) ) ) ). % 208.85/209.54 % 208.85/209.54 fof(fact_Min_Oin__idem,axiom, % 208.85/209.54 ! [V_x_2,V_A_2,T_b] : % 208.85/209.54 ( class_Orderings_Olinorder(T_b) % 208.85/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 208.85/209.54 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 208.85/209.54 => 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) ) ) ) ). % 208.85/209.54 % 208.85/209.54 fof(fact_Times__subset__cancel2,axiom, % 208.85/209.54 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] : % 208.85/209.54 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2)) % 208.85/209.54 => ( 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)))) % 208.85/209.54 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 208.85/209.54 % 208.85/209.54 fof(fact_Image__subset,axiom, % 208.85/209.54 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_c,T_b] : % 208.85/209.54 ( 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)))) % 208.85/209.54 => 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)) ) ). % 208.85/209.54 % 208.85/209.54 fof(fact_add__nonpos__neg,axiom, % 208.85/209.54 ! [V_b,V_a,T_a] : % 208.85/209.54 ( class_Groups_Oordered__comm__monoid__add(T_a) % 208.85/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 208.85/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 208.85/209.54 => 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))) ) ) ) ). % 208.85/209.54 % 208.85/209.54 fof(fact_add__neg__nonpos,axiom, % 208.85/209.54 ! [V_b,V_a,T_a] : % 208.85/209.54 ( class_Groups_Oordered__comm__monoid__add(T_a) % 208.85/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 208.85/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 208.85/209.54 => 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))) ) ) ) ). % 208.85/209.54 % 208.85/209.54 fof(fact_add__strict__increasing2,axiom, % 208.85/209.54 ! [V_c,V_b,V_a,T_a] : % 208.85/209.54 ( class_Groups_Oordered__comm__monoid__add(T_a) % 208.85/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 208.85/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 209.18/209.54 => 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))) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_add__strict__increasing,axiom, % 209.18/209.54 ! [V_c,V_b,V_a,T_a] : % 209.18/209.54 ( class_Groups_Oordered__comm__monoid__add(T_a) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 209.18/209.54 => 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))) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_add__nonneg__pos,axiom, % 209.18/209.54 ! [V_b,V_a,T_a] : % 209.18/209.54 ( class_Groups_Oordered__comm__monoid__add(T_a) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 209.18/209.54 => 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))) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_add__pos__nonneg,axiom, % 209.18/209.54 ! [V_b,V_a,T_a] : % 209.18/209.54 ( class_Groups_Oordered__comm__monoid__add(T_a) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 209.18/209.54 => 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))) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_mult__left__le__imp__le,axiom, % 209.18/209.54 ! [V_b,V_a,V_c,T_a] : % 209.18/209.54 ( class_Rings_Olinordered__semiring__strict(T_a) % 209.18/209.54 => ( 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))) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 209.18/209.54 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_mult__right__le__imp__le,axiom, % 209.18/209.54 ! [V_b,V_c,V_a,T_a] : % 209.18/209.54 ( class_Rings_Olinordered__semiring__strict(T_a) % 209.18/209.54 => ( 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))) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 209.18/209.54 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_mult__less__imp__less__left,axiom, % 209.18/209.54 ! [V_b,V_a,V_c,T_a] : % 209.18/209.54 ( class_Rings_Olinordered__semiring__strict(T_a) % 209.18/209.54 => ( 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))) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 209.18/209.54 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_mult__left__less__imp__less,axiom, % 209.18/209.54 ! [V_b,V_a,V_c,T_a] : % 209.18/209.54 ( class_Rings_Olinordered__semiring(T_a) % 209.18/209.54 => ( 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))) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 209.18/209.54 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_mult__less__imp__less__right,axiom, % 209.18/209.54 ! [V_b,V_c,V_a,T_a] : % 209.18/209.54 ( class_Rings_Olinordered__semiring__strict(T_a) % 209.18/209.54 => ( 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))) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 209.18/209.54 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_mult__right__less__imp__less,axiom, % 209.18/209.54 ! [V_b,V_c,V_a,T_a] : % 209.18/209.54 ( class_Rings_Olinordered__semiring(T_a) % 209.18/209.54 => ( 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))) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 209.18/209.54 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_mult__le__less__imp__less,axiom, % 209.18/209.54 ! [V_d,V_c,V_b,V_a,T_a] : % 209.18/209.54 ( class_Rings_Olinordered__semiring__strict(T_a) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 209.18/209.54 => 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))) ) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_mult__less__le__imp__less,axiom, % 209.18/209.54 ! [V_d,V_c,V_b,V_a,T_a] : % 209.18/209.54 ( class_Rings_Olinordered__semiring__strict(T_a) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 209.18/209.54 => 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))) ) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_mult__strict__mono_H,axiom, % 209.18/209.54 ! [V_d,V_c,V_b,V_a,T_a] : % 209.18/209.54 ( class_Rings_Olinordered__semiring__strict(T_a) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 209.18/209.54 => 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))) ) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_mult__strict__mono,axiom, % 209.18/209.54 ! [V_d,V_c,V_b,V_a,T_a] : % 209.18/209.54 ( class_Rings_Olinordered__semiring__strict(T_a) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 209.18/209.54 => 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))) ) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_mult__le__cancel__left__neg,axiom, % 209.18/209.54 ! [V_ba_2,V_a_2,V_ca_2,T_b] : % 209.18/209.54 ( class_Rings_Olinordered__ring__strict(T_b) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 209.18/209.54 => ( 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))) % 209.18/209.54 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),V_a_2)) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_mult__le__cancel__left__pos,axiom, % 209.18/209.54 ! [V_ba_2,V_a_2,V_ca_2,T_b] : % 209.18/209.54 ( class_Rings_Olinordered__ring__strict(T_b) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 209.18/209.54 => ( 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))) % 209.18/209.54 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_ba_2)) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_sum__squares__ge__zero,axiom, % 209.18/209.54 ! [V_y,V_x,T_a] : % 209.18/209.54 ( class_Rings_Olinordered__ring(T_a) % 209.18/209.54 => 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)))) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_sum__squares__le__zero__iff,axiom, % 209.18/209.54 ! [V_y_2,V_x_2,T_b] : % 209.18/209.54 ( class_Rings_Olinordered__ring__strict(T_b) % 209.18/209.54 => ( 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))) % 209.18/209.54 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 209.18/209.54 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_not__sum__squares__lt__zero,axiom, % 209.18/209.54 ! [V_y,V_x,T_a] : % 209.18/209.54 ( class_Rings_Olinordered__ring(T_a) % 209.18/209.54 => ~ 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))) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_sum__squares__gt__zero__iff,axiom, % 209.18/209.54 ! [V_y_2,V_x_2,T_b] : % 209.18/209.54 ( class_Rings_Olinordered__ring__strict(T_b) % 209.18/209.54 => ( 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)))) % 209.18/209.54 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b) % 209.18/209.54 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_finite__cartesian__productD1,axiom, % 209.18/209.54 ! [V_B_2,V_A_2,T_c,T_b] : % 209.18/209.54 ( 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)))) % 209.18/209.54 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) % 209.18/209.54 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_finite__cartesian__productD2,axiom, % 209.18/209.54 ! [V_B_2,V_A_2,T_c,T_b] : % 209.18/209.54 ( 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)))) % 209.18/209.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_mult__left__le__one__le,axiom, % 209.18/209.54 ! [V_y,V_x,T_a] : % 209.18/209.54 ( class_Rings_Olinordered__idom(T_a) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a))) % 209.18/209.54 => 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)) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_mult__right__le__one__le,axiom, % 209.18/209.54 ! [V_y,V_x,T_a] : % 209.18/209.54 ( class_Rings_Olinordered__idom(T_a) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a))) % 209.18/209.54 => 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)) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_zero__less__two,axiom, % 209.18/209.54 ! [T_a] : % 209.18/209.54 ( class_Rings_Olinordered__semidom(T_a) % 209.18/209.54 => 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)))) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_Max_OF__eq,axiom, % 209.18/209.54 ! [V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => 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) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_Min_OF__eq,axiom, % 209.18/209.54 ! [V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => 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) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_Collect__split,axiom, % 209.18/209.54 ! [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))) ). % 209.18/209.54 % 209.18/209.54 fof(fact_SetCompr__Sigma__eq,axiom, % 209.18/209.54 ! [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)) ). % 209.18/209.54 % 209.18/209.54 fof(fact_card__eq__0__iff,axiom, % 209.18/209.54 ! [V_A_2,T_b] : % 209.18/209.54 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.18/209.54 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_card__ge__0__finite,axiom, % 209.18/209.54 ! [V_A_2,T_b] : % 209.18/209.54 ( 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))) % 209.18/209.54 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_diff__Suc__less,axiom, % 209.18/209.54 ! [V_i,V_n] : % 209.18/209.54 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 209.18/209.54 => 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)) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_Suc__pred,axiom, % 209.18/209.54 ! [V_n] : % 209.18/209.54 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 209.18/209.54 => 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 ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_one__less__mult,axiom, % 209.18/209.54 ! [V_m,V_n] : % 209.18/209.54 ( 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)) % 209.18/209.54 => ( 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)) % 209.18/209.54 => 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))) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_n__less__n__mult__m,axiom, % 209.18/209.54 ! [V_m,V_n] : % 209.18/209.54 ( 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)) % 209.18/209.54 => ( 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)) % 209.18/209.54 => 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))) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_n__less__m__mult__n,axiom, % 209.18/209.54 ! [V_m,V_n] : % 209.18/209.54 ( 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)) % 209.18/209.54 => ( 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)) % 209.18/209.54 => 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))) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_nat__diff__split,axiom, % 209.18/209.54 ! [V_ba_2,V_a_2,V_Pa_2] : % 209.18/209.54 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_ba_2))) % 209.18/209.54 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_ba_2)) % 209.18/209.54 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 209.18/209.54 & ! [B_d] : % 209.18/209.54 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_ba_2),B_d) % 209.18/209.54 => hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_nat__diff__split__asm,axiom, % 209.18/209.54 ! [V_ba_2,V_a_2,V_Pa_2] : % 209.18/209.54 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_ba_2))) % 209.18/209.54 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_ba_2)) % 209.18/209.54 & ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 209.18/209.54 | ? [B_d] : % 209.18/209.54 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_ba_2),B_d) % 209.18/209.54 & ~ hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_one__le__mult__iff,axiom, % 209.18/209.54 ! [V_n_2,V_m_2] : % 209.18/209.54 ( 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))) % 209.18/209.54 <=> ( 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)) % 209.18/209.54 & 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)) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_mult__le__cancel1,axiom, % 209.18/209.54 ! [V_n_2,V_m_2,V_k_2] : % 209.18/209.54 ( 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))) % 209.18/209.54 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 209.18/209.54 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_mult__le__cancel2,axiom, % 209.18/209.54 ! [V_n_2,V_k_2,V_m_2] : % 209.18/209.54 ( 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))) % 209.18/209.54 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 209.18/209.54 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_nat__mult__le__cancel1,axiom, % 209.18/209.54 ! [V_n_2,V_m_2,V_k_2] : % 209.18/209.54 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 209.18/209.54 => ( 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))) % 209.18/209.54 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_min__max_Ofold1__belowI,axiom, % 209.18/209.54 ! [V_a_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 209.18/209.54 => 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)) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_fold1__below__iff,axiom, % 209.18/209.54 ! [V_x_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => ( 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)) % 209.18/209.54 <=> ? [B_x] : % 209.18/209.54 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 209.18/209.54 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_x_2)) ) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_min__max_Obelow__fold1__iff,axiom, % 209.18/209.54 ! [V_x_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => ( 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))) % 209.18/209.54 <=> ! [B_x] : % 209.18/209.54 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 209.18/209.54 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_fold1__strict__below__iff,axiom, % 209.18/209.54 ! [V_x_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => ( 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)) % 209.18/209.54 <=> ? [B_x] : % 209.18/209.54 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 209.18/209.54 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_x_2)) ) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_strict__below__fold1__iff,axiom, % 209.18/209.54 ! [V_x_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => ( 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))) % 209.18/209.54 <=> ! [B_x] : % 209.18/209.54 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 209.18/209.54 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_Max__insert,axiom, % 209.18/209.54 ! [V_x_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => 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)) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_Min__insert,axiom, % 209.18/209.54 ! [V_x_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => 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)) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_Max_Osubset__idem,axiom, % 209.18/209.54 ! [V_B_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 209.18/209.54 => 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) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_Min_Osubset__idem,axiom, % 209.18/209.54 ! [V_B_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 209.18/209.54 => 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) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_Max__Un,axiom, % 209.18/209.54 ! [V_B_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 209.18/209.54 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => 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)) ) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_Min__Un,axiom, % 209.18/209.54 ! [V_B_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 209.18/209.54 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => 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)) ) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_card__less__Suc,axiom, % 209.18/209.54 ! [V_i_2,V_M_2] : % 209.18/209.54 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 209.18/209.54 => 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))))) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_card__less,axiom, % 209.18/209.54 ! [V_i_2,V_M_2] : % 209.18/209.54 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 209.18/209.54 => 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) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_card__less__Suc2,axiom, % 209.18/209.54 ! [V_i_2,V_M_2] : % 209.18/209.54 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 209.18/209.54 => 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))))) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_insert__times__insert,axiom, % 209.18/209.54 ! [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)))) ). % 209.18/209.54 % 209.18/209.54 fof(fact_finite__equiv__class,axiom, % 209.18/209.54 ! [V_X_2,V_r_2,V_A_2,T_b] : % 209.18/209.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( 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)))) % 209.18/209.54 => ( 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))) % 209.18/209.54 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_convex__bound__le,axiom, % 209.18/209.54 ! [V_v,V_u,V_y,V_a,V_x,T_a] : % 209.18/209.54 ( class_Rings_Olinordered__semiring__1(T_a) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v)) % 209.18/209.54 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a) % 209.18/209.54 => 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)) ) ) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_Sigma__def,axiom, % 209.18/209.54 ! [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))))) ). % 209.18/209.54 % 209.18/209.54 fof(fact_card__gt__0__iff,axiom, % 209.18/209.54 ! [V_A_2,T_b] : % 209.18/209.54 ( 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))) % 209.18/209.54 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_finite__UNIV__card__ge__0,axiom, % 209.18/209.54 ! [T_b] : % 209.18/209.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 209.18/209.54 => 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))))) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_finite__quotient,axiom, % 209.18/209.54 ! [V_r_2,V_A_2,T_b] : % 209.18/209.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( 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)))) % 209.18/209.54 => 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))) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_Suc__diff__1,axiom, % 209.18/209.54 ! [V_n] : % 209.18/209.54 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 209.18/209.54 => 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 ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_Suc__pred_H,axiom, % 209.18/209.54 ! [V_n] : % 209.18/209.54 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 209.18/209.54 => 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))) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_add__eq__if,axiom, % 209.18/209.54 ! [V_n,V_m] : % 209.18/209.54 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.18/209.54 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n ) % 209.18/209.54 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.18/209.54 => 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)) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_mult__eq__if,axiom, % 209.18/209.54 ! [V_n,V_m] : % 209.18/209.54 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.18/209.54 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 209.18/209.54 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.18/209.54 => 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)) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_Max_Oinsert,axiom, % 209.18/209.54 ! [V_x_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 209.18/209.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => 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)) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_Min_Oinsert,axiom, % 209.18/209.54 ! [V_x_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 209.18/209.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => 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)) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_fold1__antimono,axiom, % 209.18/209.54 ! [V_B_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 209.18/209.54 => 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))) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_card_Oeq__fold__g,axiom, % 209.18/209.54 ! [V_A_2,T_b] : % 209.18/209.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => 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) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_card__def,axiom, % 209.18/209.54 ! [V_A_2,T_b] : % 209.18/209.54 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => 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) ) % 209.18/209.54 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_Max_Oinsert__remove,axiom, % 209.18/209.54 ! [V_x_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( ( 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)) % 209.18/209.54 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 209.18/209.54 & ( 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)) % 209.18/209.54 => 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)))))) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_Max_Ounion__inter,axiom, % 209.18/209.54 ! [V_B_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 209.18/209.54 => ( 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)) % 209.18/209.54 => 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)) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_Max_Ounion__disjoint,axiom, % 209.18/209.54 ! [V_B_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 209.18/209.54 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => ( 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)) % 209.18/209.54 => 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)) ) ) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_Min_Oinsert__remove,axiom, % 209.18/209.54 ! [V_x_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( ( 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)) % 209.18/209.54 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 209.18/209.54 & ( 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)) % 209.18/209.54 => 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)))))) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_Min_Ounion__inter,axiom, % 209.18/209.54 ! [V_B_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 209.18/209.54 => ( 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)) % 209.18/209.54 => 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)) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_Min_Ounion__disjoint,axiom, % 209.18/209.54 ! [V_B_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 209.18/209.54 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => ( 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)) % 209.18/209.54 => 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)) ) ) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_convex__bound__lt,axiom, % 209.18/209.54 ! [V_v,V_u,V_y,V_a,V_x,T_a] : % 209.18/209.54 ( class_Rings_Olinordered__semiring__1__strict(T_a) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v)) % 209.18/209.54 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a) % 209.18/209.54 => 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)) ) ) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_triple_Osize_I1_J,axiom, % 209.18/209.54 ! [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,c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_fun1_2,V_com_2,V_fun2_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 209.18/209.54 % 209.18/209.54 fof(fact_even__less__0__iff,axiom, % 209.18/209.54 ! [V_a_2,T_b] : % 209.18/209.54 ( class_Rings_Olinordered__idom(T_b) % 209.18/209.54 => ( 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))) % 209.18/209.54 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_nat_Osize_I2_J,axiom, % 209.18/209.54 ! [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))) ). % 209.18/209.54 % 209.18/209.54 fof(fact_dual__min,axiom, % 209.18/209.54 ! [T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => 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) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_dual__max,axiom, % 209.18/209.54 ! [T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => 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) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_triple_Osize_I2_J,axiom, % 209.18/209.54 ! [V_fun2_2,V_com_2,V_fun1_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_fun1_2,V_com_2,V_fun2_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 209.18/209.54 % 209.18/209.54 fof(fact_sup__nat__def,axiom, % 209.18/209.54 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ). % 209.18/209.54 % 209.18/209.54 fof(fact_inf__nat__def,axiom, % 209.18/209.54 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ). % 209.18/209.54 % 209.18/209.54 fof(fact_nat_Osize_I1_J,axiom, % 209.18/209.54 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 209.18/209.54 % 209.18/209.54 fof(fact_double__eq__0__iff,axiom, % 209.18/209.54 ! [V_a_2,T_b] : % 209.18/209.54 ( class_Groups_Olinordered__ab__group__add(T_b) % 209.18/209.54 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 209.18/209.54 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_min__ord__min,axiom, % 209.18/209.54 ! [T_b] : % 209.18/209.54 ( class_Orderings_Oord(T_b) % 209.18/209.54 => c_Orderings_Oord__class_Omin(T_b) = c_Orderings_Oord_Omin(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_max__ord__max,axiom, % 209.18/209.54 ! [T_b] : % 209.18/209.54 ( class_Orderings_Oord(T_b) % 209.18/209.54 => c_Orderings_Oord__class_Omax(T_b) = c_Orderings_Oord_Omax(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_card_Ounion__inter__neutral,axiom, % 209.18/209.54 ! [V_B_2,V_A_2,T_b] : % 209.18/209.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 209.18/209.54 => ( ( ? [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))) % 209.18/209.54 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 209.18/209.54 => 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)) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_Ex__inj__on__UNION__Sigma,axiom, % 209.18/209.54 ! [V_A_2,V_I_2,T_c,T_b] : % 209.18/209.54 ? [B_f] : % 209.18/209.54 ( 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)) % 209.18/209.54 & 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))) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__mult__setsum__if__inj,axiom, % 209.18/209.54 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] : % 209.18/209.54 ( class_Rings_Osemiring__0(T_d) % 209.18/209.54 => ( 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))) % 209.18/209.54 => 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))))))) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_fold__image__Sigma,axiom, % 209.18/209.54 ! [V_g_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 209.18/209.54 ( class_Groups_Ocomm__monoid__mult(T_d) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( ! [B_x] : % 209.18/209.54 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 209.18/209.54 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 209.18/209.54 => 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)) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_min__max_Osup__Inf1__distrib,axiom, % 209.18/209.54 ! [V_x_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => 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))))) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__cartesian__product,axiom, % 209.18/209.54 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 209.18/209.54 ( class_Groups_Ocomm__monoid__add(T_b) % 209.18/209.54 => 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))) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__commute,axiom, % 209.18/209.54 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 209.18/209.54 ( class_Groups_Ocomm__monoid__add(T_b) % 209.18/209.54 => 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) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__0,axiom, % 209.18/209.54 ! [V_A_2,T_c,T_b] : % 209.18/209.54 ( class_Groups_Ocomm__monoid__add(T_b) % 209.18/209.54 => 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) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__addf,axiom, % 209.18/209.54 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 209.18/209.54 ( class_Groups_Ocomm__monoid__add(T_b) % 209.18/209.54 => 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)) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__right__distrib,axiom, % 209.18/209.54 ! [V_A_2,V_f_2,T_c,V_r_2,T_b] : % 209.18/209.54 ( class_Rings_Osemiring__0(T_b) % 209.18/209.54 => 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) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__left__distrib,axiom, % 209.18/209.54 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] : % 209.18/209.54 ( class_Rings_Osemiring__0(T_b) % 209.18/209.54 => 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) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__product,axiom, % 209.18/209.54 ! [V_B_2,V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 209.18/209.54 ( class_Rings_Osemiring__0(T_b) % 209.18/209.54 => 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) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__subtractf,axiom, % 209.18/209.54 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 209.18/209.54 ( class_Groups_Oab__group__add(T_b) % 209.18/209.54 => 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)) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__negf,axiom, % 209.18/209.54 ! [V_A_2,V_f_2,T_c,T_b] : % 209.18/209.54 ( class_Groups_Oab__group__add(T_b) % 209.18/209.54 => 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)) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__empty,axiom, % 209.18/209.54 ! [V_f_2,T_c,T_b] : % 209.18/209.54 ( class_Groups_Ocomm__monoid__add(T_b) % 209.18/209.54 => 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) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum_Oempty,axiom, % 209.18/209.54 ! [V_g_2,T_c,T_b] : % 209.18/209.54 ( class_Groups_Ocomm__monoid__add(T_b) % 209.18/209.54 => 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) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__infinite,axiom, % 209.18/209.54 ! [V_f_2,V_A_2,T_b,T_c] : % 209.18/209.54 ( class_Groups_Ocomm__monoid__add(T_c) % 209.18/209.54 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => 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) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum_Oinfinite,axiom, % 209.18/209.54 ! [V_g_2,V_A_2,T_b,T_c] : % 209.18/209.54 ( class_Groups_Ocomm__monoid__add(T_c) % 209.18/209.54 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => 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) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__eq__0__iff,axiom, % 209.18/209.54 ! [V_f_2,V_F_2,T_b] : % 209.18/209.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 209.18/209.54 => ( 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) % 209.18/209.54 <=> ! [B_x] : % 209.18/209.54 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2)) % 209.18/209.54 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum_Odistrib,axiom, % 209.18/209.54 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 209.18/209.54 ( class_Groups_Ocomm__monoid__add(T_c) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => 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)) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_card__eq__setsum,axiom, % 209.18/209.54 ! [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) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__eq__Suc0__iff,axiom, % 209.18/209.54 ! [V_f_2,V_A_2,T_b] : % 209.18/209.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( 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)) % 209.18/209.54 <=> ? [B_x] : % 209.18/209.54 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 209.18/209.54 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 209.18/209.54 & ! [B_xa] : % 209.18/209.54 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 209.18/209.54 => ( B_x != B_xa % 209.18/209.54 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__reindex,axiom, % 209.18/209.54 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] : % 209.18/209.54 ( class_Groups_Ocomm__monoid__add(T_d) % 209.18/209.54 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 209.18/209.54 => 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) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__eq__1__iff,axiom, % 209.18/209.54 ! [V_f_2,V_A_2,T_b] : % 209.18/209.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( 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) % 209.18/209.54 <=> ? [B_x] : % 209.18/209.54 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 209.18/209.54 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 209.18/209.54 & ! [B_xa] : % 209.18/209.54 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 209.18/209.54 => ( B_x != B_xa % 209.18/209.54 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__reindex__id,axiom, % 209.18/209.54 ! [V_B_2,V_f_2,T_b,T_c] : % 209.18/209.54 ( class_Groups_Ocomm__monoid__add(T_c) % 209.18/209.54 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 209.18/209.54 => 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)) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__delta,axiom, % 209.18/209.54 ! [V_ba_2,V_a_2,V_S_2,T_b,T_c] : % 209.18/209.54 ( class_Groups_Ocomm__monoid__add(T_c) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 209.18/209.54 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 209.18/209.54 => 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) ) % 209.18/209.54 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 209.18/209.54 => 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) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__delta_H,axiom, % 209.18/209.54 ! [V_ba_2,V_a_2,V_S_2,T_b,T_c] : % 209.18/209.54 ( class_Groups_Ocomm__monoid__add(T_c) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 209.18/209.54 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 209.18/209.54 => 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) ) % 209.18/209.54 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 209.18/209.54 => 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) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__setsum__restrict,axiom, % 209.18/209.54 ! [V_R_2,V_f_2,V_T_2,T_c,V_S_2,T_b,T_d] : % 209.18/209.54 ( class_Groups_Ocomm__monoid__add(T_d) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2)) % 209.18/209.54 => 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) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_min__max_OInf__fin_Oin__idem,axiom, % 209.18/209.54 ! [V_x_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 209.18/209.54 => 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) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_min__max_OInf__fin_Osingleton,axiom, % 209.18/209.54 ! [V_x_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => 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 ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__insert,axiom, % 209.18/209.54 ! [V_f_2,V_a_2,V_F_2,T_b,T_c] : % 209.18/209.54 ( class_Groups_Ocomm__monoid__add(T_c) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 209.18/209.54 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_F_2)) % 209.18/209.54 => 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)) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum_Oinsert,axiom, % 209.18/209.54 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 209.18/209.54 ( class_Groups_Ocomm__monoid__add(T_c) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 209.18/209.54 => 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)) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_min__max_OInf__fin_OF__eq,axiom, % 209.18/209.54 ! [V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => 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) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__Un__Int,axiom, % 209.18/209.54 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 209.18/209.54 ( class_Groups_Ocomm__monoid__add(T_c) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 209.18/209.54 => 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)) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__diff,axiom, % 209.18/209.54 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 209.18/209.54 ( class_Groups_Oab__group__add(T_c) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 209.18/209.54 => 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)) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum_Oreindex,axiom, % 209.18/209.54 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] : % 209.18/209.54 ( class_Groups_Ocomm__monoid__add(T_c) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2) % 209.18/209.54 => 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) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum_OF__eq,axiom, % 209.18/209.54 ! [V_g_2,V_A_2,T_b,T_c] : % 209.18/209.54 ( class_Groups_Ocomm__monoid__add(T_c) % 209.18/209.54 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => 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) ) % 209.18/209.54 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => 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) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum_Oeq__fold,axiom, % 209.18/209.54 ! [V_g_2,V_A_2,T_b,T_c] : % 209.18/209.54 ( class_Groups_Ocomm__monoid__add(T_c) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => 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) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__diff__nat,axiom, % 209.18/209.54 ! [V_f_2,V_A_2,V_B_2,T_b] : % 209.18/209.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 209.18/209.54 => 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)) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__restrict__set_H,axiom, % 209.18/209.54 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] : % 209.18/209.54 ( class_Groups_Ocomm__monoid__add(T_c) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => 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) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__restrict__set,axiom, % 209.18/209.54 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] : % 209.18/209.54 ( class_Groups_Ocomm__monoid__add(T_c) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => 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) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__image__gen,axiom, % 209.18/209.54 ! [V_f_2,T_d,V_g_2,V_S_2,T_b,T_c] : % 209.18/209.54 ( class_Groups_Ocomm__monoid__add(T_c) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 209.18/209.54 => 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)) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom, % 209.18/209.54 ! [V_x_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => 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)) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum_Oinsert__remove,axiom, % 209.18/209.54 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] : % 209.18/209.54 ( class_Groups_Ocomm__monoid__add(T_c) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => 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)))))) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_min__max_OInf__fin_Osubset__idem,axiom, % 209.18/209.54 ! [V_B_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 209.18/209.54 => 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) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__Un__disjoint,axiom, % 209.18/209.54 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 209.18/209.54 ( class_Groups_Ocomm__monoid__add(T_c) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 209.18/209.54 => ( 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)) % 209.18/209.54 => 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)) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_min__max_Osup__Inf__absorb,axiom, % 209.18/209.54 ! [V_a_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 209.18/209.54 => 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 ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__Un,axiom, % 209.18/209.54 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 209.18/209.54 ( class_Groups_Oab__group__add(T_c) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 209.18/209.54 => 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))) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_min__max_OInf__fin_Ounion__idem,axiom, % 209.18/209.54 ! [V_B_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 209.18/209.54 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => 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)) ) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__diff1__nat,axiom, % 209.18/209.54 ! [V_f_2,V_A_2,V_a_2,T_b] : % 209.18/209.54 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 209.18/209.54 => 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)) ) % 209.18/209.54 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 209.18/209.54 => 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) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__Un__nat,axiom, % 209.18/209.54 ! [V_f_2,V_B_2,V_A_2,T_b] : % 209.18/209.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 209.18/209.54 => 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))) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__cases,axiom, % 209.18/209.54 ! [V_g_2,V_f_2,V_Pa_2,V_A_2,T_b,T_c] : % 209.18/209.54 ( class_Groups_Ocomm__monoid__add(T_c) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => 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))))) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum_Oremove,axiom, % 209.18/209.54 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 209.18/209.54 ( class_Groups_Ocomm__monoid__add(T_c) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 209.18/209.54 => 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)))))) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__diff1_H,axiom, % 209.18/209.54 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 209.18/209.54 ( class_Groups_Ocomm__monoid__add(T_c) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 209.18/209.54 => 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)))))) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__diff1__ring,axiom, % 209.18/209.54 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 209.18/209.54 ( class_Rings_Oring(T_c) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 209.18/209.54 => 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)) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__diff1,axiom, % 209.18/209.54 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 209.18/209.54 ( class_Groups_Oab__group__add(T_c) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 209.18/209.54 => 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)) ) % 209.18/209.54 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 209.18/209.54 => 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) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_min__max_OInf__fin_Oinsert,axiom, % 209.18/209.54 ! [V_x_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 209.18/209.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => 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)) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom, % 209.18/209.54 ! [V_x_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( ( 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)) % 209.18/209.54 => 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 ) % 209.18/209.54 & ( 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)) % 209.18/209.54 => 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)))))) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_min__max_OInf__fin_Ounion__inter,axiom, % 209.18/209.54 ! [V_B_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 209.18/209.54 => ( 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)) % 209.18/209.54 => 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)) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom, % 209.18/209.54 ! [V_B_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 209.18/209.54 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => ( 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)) % 209.18/209.54 => 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)) ) ) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_min__max_OInf__fin_Oremove,axiom, % 209.18/209.54 ! [V_x_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 209.18/209.54 => ( ( 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)) % 209.18/209.54 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = V_x_2 ) % 209.18/209.54 & ( 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)) % 209.18/209.54 => 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)))))) ) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_min__max_Osup__Inf2__distrib,axiom, % 209.18/209.54 ! [V_B_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 209.18/209.54 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => 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))))))) ) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__mono2,axiom, % 209.18/209.54 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] : % 209.18/209.54 ( class_Groups_Oordered__comm__monoid__add(T_c) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 209.18/209.54 => ( ! [B_b] : % 209.18/209.54 ( 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))) % 209.18/209.54 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_b))) ) % 209.18/209.54 => 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))) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_min__max_Oinf__Sup2__distrib,axiom, % 209.18/209.54 ! [V_B_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 209.18/209.54 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => 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))))))) ) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_min__max_Oinf__Sup1__distrib,axiom, % 209.18/209.54 ! [V_x_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => 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))))) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_nat_Osize_I4_J,axiom, % 209.18/209.54 ! [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))) ). % 209.18/209.54 % 209.18/209.54 fof(fact_min__max_OInf__fin_Oclosed,axiom, % 209.18/209.54 ! [V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => ( ! [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)))))) % 209.18/209.54 => 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)) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_nat__size,axiom, % 209.18/209.54 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ). % 209.18/209.54 % 209.18/209.54 fof(fact_nat_Osize_I3_J,axiom, % 209.18/209.54 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) ). % 209.18/209.54 % 209.18/209.54 fof(fact_min__max_OSup__fin_Oin__idem,axiom, % 209.18/209.54 ! [V_x_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 209.18/209.54 => 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) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_min__max_OSup__fin_Osingleton,axiom, % 209.18/209.54 ! [V_x_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => 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 ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_min__max_OSup__fin_OF__eq,axiom, % 209.18/209.54 ! [V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => 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) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom, % 209.18/209.54 ! [V_x_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => 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)) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_min__max_OSup__fin_Osubset__idem,axiom, % 209.18/209.54 ! [V_B_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 209.18/209.54 => 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) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_min__max_Oinf__Sup__absorb,axiom, % 209.18/209.54 ! [V_a_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 209.18/209.54 => 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 ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_min__max_OSup__fin_Ounion__idem,axiom, % 209.18/209.54 ! [V_B_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 209.18/209.54 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => 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)) ) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_min__max_OSup__fin_Oinsert,axiom, % 209.18/209.54 ! [V_x_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 209.18/209.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => 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)) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom, % 209.18/209.54 ! [V_x_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( ( 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)) % 209.18/209.54 => 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 ) % 209.18/209.54 & ( 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)) % 209.18/209.54 => 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)))))) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom, % 209.18/209.54 ! [V_B_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 209.18/209.54 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => ( 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)) % 209.18/209.54 => 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)) ) ) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_min__max_OSup__fin_Ounion__inter,axiom, % 209.18/209.54 ! [V_B_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 209.18/209.54 => ( 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)) % 209.18/209.54 => 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)) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_min__max_OSup__fin_Oremove,axiom, % 209.18/209.54 ! [V_x_2,V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 209.18/209.54 => ( ( 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)) % 209.18/209.54 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = V_x_2 ) % 209.18/209.54 & ( 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)) % 209.18/209.54 => 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)))))) ) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_min__max_OInf__le__Sup,axiom, % 209.18/209.54 ! [V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => 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))) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__Sigma,axiom, % 209.18/209.54 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 209.18/209.54 ( class_Groups_Ocomm__monoid__add(T_d) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( ! [B_x] : % 209.18/209.54 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 209.18/209.54 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 209.18/209.54 => 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)) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__multicount,axiom, % 209.18/209.54 ! [V_k_2,V_R_2,V_T_2,T_c,V_S_2,T_b] : % 209.18/209.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2)) % 209.18/209.54 => ( ! [B_x] : % 209.18/209.54 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_T_2)) % 209.18/209.54 => 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 ) % 209.18/209.54 => 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)) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_card__SigmaI,axiom, % 209.18/209.54 ! [V_B_2,T_c,V_A_2,T_b] : % 209.18/209.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( ! [B_x] : % 209.18/209.54 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 209.18/209.54 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 209.18/209.54 => 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) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_min__max_OSup__fin_Oclosed,axiom, % 209.18/209.54 ! [V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => ( ! [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)))))) % 209.18/209.54 => 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)) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_Max_Oclosed,axiom, % 209.18/209.54 ! [V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => ( ! [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)))))) % 209.18/209.54 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_Min_Oclosed,axiom, % 209.18/209.54 ! [V_A_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.54 => ( ! [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)))))) % 209.18/209.54 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_arith__series__nat,axiom, % 209.18/209.54 ! [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)))) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum_Ounion__inter__neutral,axiom, % 209.18/209.54 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 209.18/209.54 ( class_Groups_Ocomm__monoid__add(T_c) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 209.18/209.54 => ( ! [B_x] : % 209.18/209.54 ( 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))) % 209.18/209.54 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 209.18/209.54 => 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)) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__Un__zero,axiom, % 209.18/209.54 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 209.18/209.54 ( class_Groups_Ocomm__monoid__add(T_c) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 209.18/209.54 => ( ! [B_x] : % 209.18/209.54 ( 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))) % 209.18/209.54 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 209.18/209.54 => 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)) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_card__Suc__eq,axiom, % 209.18/209.54 ! [V_k_2,V_A_2,T_b] : % 209.18/209.54 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Nat_OSuc,V_k_2) % 209.18/209.54 <=> ? [B_b,B_B] : % 209.18/209.54 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_b),B_B) % 209.18/209.54 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_b),B_B)) % 209.18/209.54 & hAPP(c_Finite__Set_Ocard(T_b),B_B) = V_k_2 % 209.18/209.54 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.18/209.54 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_finite__lessThan,axiom, % 209.18/209.54 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ). % 209.18/209.54 % 209.18/209.54 fof(fact_lessThan__eq__iff,axiom, % 209.18/209.54 ! [V_y_2,V_x_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2) % 209.18/209.54 <=> V_x_2 = V_y_2 ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_lessThan__0,axiom, % 209.18/209.54 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)) ). % 209.18/209.54 % 209.18/209.54 fof(fact_lessThan__Suc,axiom, % 209.18/209.54 ! [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)) ). % 209.18/209.54 % 209.18/209.54 fof(fact_card__lessThan,axiom, % 209.18/209.54 ! [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 ). % 209.18/209.54 % 209.18/209.54 fof(fact_UN__lessThan__UNIV,axiom, % 209.18/209.54 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)) ). % 209.18/209.54 % 209.18/209.54 fof(fact_lessThan__Suc__eq__insert__0,axiom, % 209.18/209.54 ! [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))) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__lessThan__Suc,axiom, % 209.18/209.54 ! [V_n_2,V_f_2,T_b] : % 209.18/209.54 ( class_Groups_Ocomm__monoid__add(T_b) % 209.18/209.54 => 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)) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_lessThan__iff,axiom, % 209.18/209.54 ! [V_k_2,V_i_2,T_b] : % 209.18/209.54 ( class_Orderings_Oord(T_b) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2))) % 209.18/209.54 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_i_2),V_k_2)) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_lessThan__subset__iff,axiom, % 209.18/209.54 ! [V_y_2,V_x_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( 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))) % 209.18/209.54 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_lessThan__strict__subset__iff,axiom, % 209.18/209.54 ! [V_n_2,V_m_2,T_b] : % 209.18/209.54 ( class_Orderings_Olinorder(T_b) % 209.18/209.54 => ( 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))) % 209.18/209.54 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_n_2)) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_single__Diff__lessThan,axiom, % 209.18/209.54 ! [V_k_2,T_b] : % 209.18/209.54 ( class_Orderings_Oorder(T_b) % 209.18/209.54 => 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))) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_arith__series__general,axiom, % 209.18/209.54 ! [V_n_2,V_d_2,V_a_2,T_b] : % 209.18/209.54 ( class_Rings_Ocomm__semiring__1(T_b) % 209.18/209.54 => 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)))) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__mono3,axiom, % 209.18/209.54 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] : % 209.18/209.54 ( ( class_Groups_Ocomm__monoid__add(T_c) % 209.18/209.54 & class_Groups_Oordered__ab__semigroup__add(T_c) ) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 209.18/209.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 209.18/209.54 => ( ! [B_x] : % 209.18/209.54 ( 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))) % 209.18/209.54 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) ) % 209.18/209.54 => 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))) ) ) ) ) ). % 209.18/209.54 % 209.18/209.54 fof(fact_setsum__reindex__nonzero,axiom, % 209.18/209.54 ! [T_c,V_h_2,V_f_2,V_S_2,T_b,T_d] : % 209.18/209.54 ( class_Groups_Ocomm__monoid__add(T_d) % 209.18/209.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 209.18/209.54 => ( ! [B_x] : % 209.18/209.54 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 209.18/209.54 => ! [B_y] : % 209.18/209.54 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_S_2)) % 209.18/209.54 => ( B_x != B_y % 209.18/209.54 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y) % 209.18/209.54 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) ) % 209.18/209.54 => 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) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_finite__SigmaI,axiom, % 209.18/209.55 ! [V_B_2,T_c,V_A_2,T_b] : % 209.18/209.55 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.55 => ( ! [B_a] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 209.18/209.55 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) ) % 209.18/209.55 => 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))) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_equiv__intrel__iff,axiom, % 209.18/209.55 ! [V_y_2,V_x_2] : % 209.18/209.55 ( 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)))) % 209.18/209.55 <=> 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)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_negative__zless,axiom, % 209.18/209.55 ! [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))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zadd__int__left,axiom, % 209.18/209.55 ! [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) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zadd__int,axiom, % 209.18/209.55 ! [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)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zle__int,axiom, % 209.18/209.55 ! [V_n_2,V_m_2] : % 209.18/209.55 ( 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))) % 209.18/209.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zmult__int,axiom, % 209.18/209.55 ! [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)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_int__mult,axiom, % 209.18/209.55 ! [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)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_int__le__0__conv,axiom, % 209.18/209.55 ! [V_n_2] : % 209.18/209.55 ( 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))) % 209.18/209.55 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_int__zle__neg,axiom, % 209.18/209.55 ! [V_m_2,V_n_2] : % 209.18/209.55 ( 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)))) % 209.18/209.55 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.18/209.55 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_int__0,axiom, % 209.18/209.55 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) ). % 209.18/209.55 % 209.18/209.55 fof(fact_int__eq__0__conv,axiom, % 209.18/209.55 ! [V_n_2] : % 209.18/209.55 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.55 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_negative__eq__positive,axiom, % 209.18/209.55 ! [V_m_2,V_n_2] : % 209.18/209.55 ( 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) % 209.18/209.55 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.18/209.55 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_negative__zless__0,axiom, % 209.18/209.55 ! [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))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_not__zle__0__negative,axiom, % 209.18/209.55 ! [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))))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_int__Suc,axiom, % 209.18/209.55 ! [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)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zless__iff__Suc__zadd,axiom, % 209.18/209.55 ! [V_z_2,V_w_2] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) % 209.18/209.55 <=> ? [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))) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_equiv__intrel,axiom, % 209.18/209.55 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) ). % 209.18/209.55 % 209.18/209.55 fof(fact_of__nat__eq__iff,axiom, % 209.18/209.55 ! [V_n_2,V_m_2,T_b] : % 209.18/209.55 ( class_Nat_Osemiring__char__0(T_b) % 209.18/209.55 => ( 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) % 209.18/209.55 <=> V_m_2 = V_n_2 ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zless__int,axiom, % 209.18/209.55 ! [V_n_2,V_m_2] : % 209.18/209.55 ( 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))) % 209.18/209.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_int__1,axiom, % 209.18/209.55 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) ). % 209.18/209.55 % 209.18/209.55 fof(fact_inj__int,axiom, % 209.18/209.55 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))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_int__setsum,axiom, % 209.18/209.55 ! [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) ). % 209.18/209.55 % 209.18/209.55 fof(fact_int__Suc0__eq__1,axiom, % 209.18/209.55 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) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zmult__zless__mono2__lemma,axiom, % 209.18/209.55 ! [V_k,V_j,V_i] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 209.18/209.55 => 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))) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zero__less__int__conv,axiom, % 209.18/209.55 ! [V_n_2] : % 209.18/209.55 ( 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))) % 209.18/209.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_of__nat__0__le__iff,axiom, % 209.18/209.55 ! [V_n,T_a] : % 209.18/209.55 ( class_Rings_Olinordered__semidom(T_a) % 209.18/209.55 => 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))) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zero__le__imp__of__nat,axiom, % 209.18/209.55 ! [V_m,T_a] : % 209.18/209.55 ( class_Rings_Olinordered__semidom(T_a) % 209.18/209.55 => 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))) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zdiff__int,axiom, % 209.18/209.55 ! [V_m,V_n] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 209.18/209.55 => 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)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_of__nat__less__0__iff,axiom, % 209.18/209.55 ! [V_m,T_a] : % 209.18/209.55 ( class_Rings_Olinordered__semidom(T_a) % 209.18/209.55 => ~ 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))) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_of__nat__0,axiom, % 209.18/209.55 ! [T_a] : % 209.18/209.55 ( class_Rings_Osemiring__1(T_a) % 209.18/209.55 => 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) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_of__nat__less__imp__less,axiom, % 209.18/209.55 ! [V_n,V_m,T_a] : % 209.18/209.55 ( class_Rings_Olinordered__semidom(T_a) % 209.18/209.55 => ( 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))) % 209.18/209.55 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_less__imp__of__nat__less,axiom, % 209.18/209.55 ! [V_n,V_m,T_a] : % 209.18/209.55 ( class_Rings_Olinordered__semidom(T_a) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 209.18/209.55 => 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))) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_of__nat__less__iff,axiom, % 209.18/209.55 ! [V_n_2,V_m_2,T_b] : % 209.18/209.55 ( class_Rings_Olinordered__semidom(T_b) % 209.18/209.55 => ( 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))) % 209.18/209.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_of__nat__le__iff,axiom, % 209.18/209.55 ! [V_n_2,V_m_2,T_b] : % 209.18/209.55 ( class_Rings_Olinordered__semidom(T_b) % 209.18/209.55 => ( 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))) % 209.18/209.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_of__nat__add,axiom, % 209.18/209.55 ! [V_n,V_m,T_a] : % 209.18/209.55 ( class_Rings_Osemiring__1(T_a) % 209.18/209.55 => 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)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_of__nat__mult,axiom, % 209.18/209.55 ! [V_n,V_m,T_a] : % 209.18/209.55 ( class_Rings_Osemiring__1(T_a) % 209.18/209.55 => 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)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_of__nat__1,axiom, % 209.18/209.55 ! [T_a] : % 209.18/209.55 ( class_Rings_Osemiring__1(T_a) % 209.18/209.55 => 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) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_of__nat__setsum,axiom, % 209.18/209.55 ! [V_A_2,V_f_2,T_c,T_b] : % 209.18/209.55 ( class_Rings_Osemiring__1(T_b) % 209.18/209.55 => 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) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_inj__of__nat,axiom, % 209.18/209.55 ! [T_b] : % 209.18/209.55 ( class_Nat_Osemiring__char__0(T_b) % 209.18/209.55 => 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))) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_of__nat__Suc,axiom, % 209.18/209.55 ! [V_m,T_a] : % 209.18/209.55 ( class_Rings_Osemiring__1(T_a) % 209.18/209.55 => 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)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_of__nat__diff,axiom, % 209.18/209.55 ! [V_m,V_n,T_a] : % 209.18/209.55 ( class_Rings_Oring__1(T_a) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 209.18/209.55 => 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)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_setsum__constant,axiom, % 209.18/209.55 ! [V_A_2,V_y_2,T_c,T_b] : % 209.18/209.55 ( class_Rings_Osemiring__1(T_b) % 209.18/209.55 => 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) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_of__nat__0__less__iff,axiom, % 209.18/209.55 ! [V_n_2,T_b] : % 209.18/209.55 ( class_Rings_Olinordered__semidom(T_b) % 209.18/209.55 => ( 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))) % 209.18/209.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_intrel__iff,axiom, % 209.18/209.55 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 209.18/209.55 ( 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)) % 209.18/209.55 <=> 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) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_semiring__1__class_Oof__nat__code,axiom, % 209.18/209.55 ! [V_n_2,T_b] : % 209.18/209.55 ( class_Rings_Osemiring__1(T_b) % 209.18/209.55 => 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)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zdiff__int__split,axiom, % 209.18/209.55 ! [V_y_2,V_x_2,V_Pa_2] : % 209.18/209.55 ( 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)))) % 209.18/209.55 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2)) % 209.18/209.55 => 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)))) ) % 209.18/209.55 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 209.18/209.55 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_One__int__def,axiom, % 209.18/209.55 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))))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_mult,axiom, % 209.18/209.55 ! [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))))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_le,axiom, % 209.18/209.55 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 209.18/209.55 ( 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))))))) % 209.18/209.55 <=> 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))) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_negative__zle,axiom, % 209.18/209.55 ! [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))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zero__zle__int,axiom, % 209.18/209.55 ! [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))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_negative__zle__0,axiom, % 209.18/209.55 ! [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))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_int__less__0__conv,axiom, % 209.18/209.55 ! [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))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_int__int__eq,axiom, % 209.18/209.55 ! [V_n_2,V_m_2] : % 209.18/209.55 ( 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) % 209.18/209.55 <=> V_m_2 = V_n_2 ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_not__int__zless__negative,axiom, % 209.18/209.55 ! [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)))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zle__iff__zadd,axiom, % 209.18/209.55 ! [V_z_2,V_w_2] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) % 209.18/209.55 <=> ? [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)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zless__imp__add1__zle,axiom, % 209.18/209.55 ! [V_z,V_w] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z)) % 209.18/209.55 => 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)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_add1__zle__eq,axiom, % 209.18/209.55 ! [V_z_2,V_w_2] : % 209.18/209.55 ( 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)) % 209.18/209.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zle__add1__eq__le,axiom, % 209.18/209.55 ! [V_z_2,V_w_2] : % 209.18/209.55 ( 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)))) % 209.18/209.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zless__add1__eq,axiom, % 209.18/209.55 ! [V_z_2,V_w_2] : % 209.18/209.55 ( 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)))) % 209.18/209.55 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) % 209.18/209.55 | V_w_2 = V_z_2 ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zadd__left__mono,axiom, % 209.18/209.55 ! [V_k,V_j,V_i] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 209.18/209.55 => 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))) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zadd__zless__mono,axiom, % 209.18/209.55 ! [V_z,V_z_H,V_w,V_w_H] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z)) % 209.18/209.55 => 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))) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zadd__zmult__distrib2,axiom, % 209.18/209.55 ! [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)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zadd__zmult__distrib,axiom, % 209.18/209.55 ! [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)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zadd__strict__right__mono,axiom, % 209.18/209.55 ! [V_k,V_j,V_i] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 209.18/209.55 => 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))) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zadd__commute,axiom, % 209.18/209.55 ! [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) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zadd__left__commute,axiom, % 209.18/209.55 ! [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)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zadd__assoc,axiom, % 209.18/209.55 ! [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)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zminus__zadd__distrib,axiom, % 209.18/209.55 ! [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)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_diff__int__def,axiom, % 209.18/209.55 ! [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)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_diff__int__def__symmetric,axiom, % 209.18/209.55 ! [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) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zle__diff1__eq,axiom, % 209.18/209.55 ! [V_z_2,V_w_2] : % 209.18/209.55 ( 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)))) % 209.18/209.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zmult__1,axiom, % 209.18/209.55 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ). % 209.18/209.55 % 209.18/209.55 fof(fact_zmult__1__right,axiom, % 209.18/209.55 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ). % 209.18/209.55 % 209.18/209.55 fof(fact_zle__refl,axiom, % 209.18/209.55 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zle__linear,axiom, % 209.18/209.55 ! [V_w,V_z] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w)) % 209.18/209.55 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zle__trans,axiom, % 209.18/209.55 ! [V_k,V_j,V_i] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k)) % 209.18/209.55 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zle__antisym,axiom, % 209.18/209.55 ! [V_w,V_z] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) % 209.18/209.55 => V_z = V_w ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zless__le,axiom, % 209.18/209.55 ! [V_w_2,V_z_2] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2)) % 209.18/209.55 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2)) % 209.18/209.55 & V_z_2 != V_w_2 ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zdiff__zmult__distrib,axiom, % 209.18/209.55 ! [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)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zdiff__zmult__distrib2,axiom, % 209.18/209.55 ! [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)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zmult__commute,axiom, % 209.18/209.55 ! [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) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zmult__assoc,axiom, % 209.18/209.55 ! [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)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zmult__zminus,axiom, % 209.18/209.55 ! [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)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zless__linear,axiom, % 209.18/209.55 ! [V_y,V_x] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y)) % 209.18/209.55 | V_x = V_y % 209.18/209.55 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zminus__zminus,axiom, % 209.18/209.55 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ). % 209.18/209.55 % 209.18/209.55 fof(fact_less__bin__lemma,axiom, % 209.18/209.55 ! [V_l_2,V_k_2] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) % 209.18/209.55 <=> 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))) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zminus__0,axiom, % 209.18/209.55 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) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zmult__zless__mono2,axiom, % 209.18/209.55 ! [V_k,V_j,V_i] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 209.18/209.55 => 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))) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_int__0__neq__1,axiom, % 209.18/209.55 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ). % 209.18/209.55 % 209.18/209.55 fof(fact_int__0__less__1,axiom, % 209.18/209.55 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))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_pos__zmult__eq__1__iff,axiom, % 209.18/209.55 ! [V_n_2,V_m_2] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2)) % 209.18/209.55 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 209.18/209.55 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) % 209.18/209.55 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_int__one__le__iff__zero__less,axiom, % 209.18/209.55 ! [V_z_2] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) % 209.18/209.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zadd__zminus__inverse2,axiom, % 209.18/209.55 ! [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) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zadd__0__right,axiom, % 209.18/209.55 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ). % 209.18/209.55 % 209.18/209.55 fof(fact_zadd__0,axiom, % 209.18/209.55 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ). % 209.18/209.55 % 209.18/209.55 fof(fact_odd__nonzero,axiom, % 209.18/209.55 ! [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) ). % 209.18/209.55 % 209.18/209.55 fof(fact_odd__less__0,axiom, % 209.18/209.55 ! [V_z_2] : % 209.18/209.55 ( 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))) % 209.18/209.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_le__imp__0__less,axiom, % 209.18/209.55 ! [V_z] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 209.18/209.55 => 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))) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_of__nat__aux_Osimps_I1_J,axiom, % 209.18/209.55 ! [V_i_2,V_inc_2,T_b] : % 209.18/209.55 ( class_Rings_Osemiring__1(T_b) % 209.18/209.55 => 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 ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_of__nat__aux_Osimps_I2_J,axiom, % 209.18/209.55 ! [V_i_2,V_n_2,V_inc_2,T_b] : % 209.18/209.55 ( class_Rings_Osemiring__1(T_b) % 209.18/209.55 => 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)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_minus,axiom, % 209.18/209.55 ! [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))))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Zero__int__def,axiom, % 209.18/209.55 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))))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_int__def,axiom, % 209.18/209.55 ! [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))))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_add,axiom, % 209.18/209.55 ! [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))))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_less,axiom, % 209.18/209.55 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 209.18/209.55 ( 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))))))) % 209.18/209.55 <=> 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))) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_self__quotient__aux2,axiom, % 209.18/209.55 ! [V_q,V_r,V_a] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 209.18/209.55 => ( 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)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 209.18/209.55 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_self__quotient__aux1,axiom, % 209.18/209.55 ! [V_q,V_r,V_a] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 209.18/209.55 => ( 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)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a)) % 209.18/209.55 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_q__pos__lemma,axiom, % 209.18/209.55 ! [V_r_H,V_q_H,V_b_H] : % 209.18/209.55 ( 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))) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 209.18/209.55 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_q__neg__lemma,axiom, % 209.18/209.55 ! [V_r_H,V_q_H,V_b_H] : % 209.18/209.55 ( 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))) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 209.18/209.55 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_unique__quotient__lemma,axiom, % 209.18/209.55 ! [V_r,V_q,V_r_H,V_q_H,V_b] : % 209.18/209.55 ( 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))) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 209.18/209.55 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zdiv__mono2__neg__lemma,axiom, % 209.18/209.55 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] : % 209.18/209.55 ( 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) % 209.18/209.55 => ( 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))) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 209.18/209.55 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_unique__quotient__lemma__neg,axiom, % 209.18/209.55 ! [V_r,V_q,V_r_H,V_q_H,V_b] : % 209.18/209.55 ( 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))) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H)) % 209.18/209.55 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zdiv__mono2__lemma,axiom, % 209.18/209.55 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] : % 209.18/209.55 ( 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) % 209.18/209.55 => ( 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))) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 209.18/209.55 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom, % 209.18/209.55 ! [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)))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_minus__int__def,axiom, % 209.18/209.55 ! [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))))))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_transfer__int__nat__numerals_I2_J,axiom, % 209.18/209.55 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)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom, % 209.18/209.55 ! [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)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom, % 209.18/209.55 ! [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)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Rep__Integ__inject,axiom, % 209.18/209.55 ! [V_y_2,V_x_2] : % 209.18/209.55 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2) % 209.18/209.55 <=> V_x_2 = V_y_2 ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Rep__Integ__inverse,axiom, % 209.18/209.55 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ). % 209.18/209.55 % 209.18/209.55 fof(fact_transfer__nat__int__set__relations_I4_J,axiom, % 209.18/209.55 ! [V_B_2,V_A_2] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2)) % 209.18/209.55 <=> 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))) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_transfer__nat__int__set__relations_I3_J,axiom, % 209.18/209.55 ! [V_B_2,V_A_2] : % 209.18/209.55 ( V_A_2 = V_B_2 % 209.18/209.55 <=> 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) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_transfer__nat__int__set__relations_I5_J,axiom, % 209.18/209.55 ! [V_B_2,V_A_2] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2)) % 209.18/209.55 <=> 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))) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_transfer__int__nat__relations_I1_J,axiom, % 209.18/209.55 ! [V_y_2,V_x_2] : % 209.18/209.55 ( 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) % 209.18/209.55 <=> V_x_2 = V_y_2 ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom, % 209.18/209.55 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))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_transfer__nat__int__set__relations_I2_J,axiom, % 209.18/209.55 ! [V_A_2,V_x_2] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2)) % 209.18/209.55 <=> 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))) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom, % 209.18/209.55 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))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom, % 209.18/209.55 ! [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)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_transfer__nat__int__set__relations_I1_J,axiom, % 209.18/209.55 ! [V_A_2] : % 209.18/209.55 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2)) % 209.18/209.55 <=> 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))) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_transfer__int__nat__numerals_I1_J,axiom, % 209.18/209.55 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)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom, % 209.18/209.55 ! [V_y,V_x] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 209.18/209.55 => 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))) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom, % 209.18/209.55 ! [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))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom, % 209.18/209.55 ! [V_Pa_2] : % 209.18/209.55 ( ? [B_x] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 209.18/209.55 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 209.18/209.55 <=> ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom, % 209.18/209.55 ! [V_Pa_2] : % 209.18/209.55 ( ! [B_x] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 209.18/209.55 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 209.18/209.55 <=> ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom, % 209.18/209.55 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))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom, % 209.18/209.55 ! [V_y,V_x] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 209.18/209.55 => 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))) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_transfer__int__nat__relations_I2_J,axiom, % 209.18/209.55 ! [V_y_2,V_x_2] : % 209.18/209.55 ( 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))) % 209.18/209.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_transfer__int__nat__relations_I3_J,axiom, % 209.18/209.55 ! [V_y_2,V_x_2] : % 209.18/209.55 ( 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))) % 209.18/209.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_int__ge__less__than2__def,axiom, % 209.18/209.55 ! [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)))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_int__ge__less__than__def,axiom, % 209.18/209.55 ! [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)))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_of__int,axiom, % 209.18/209.55 ! [V_j_2,V_i_2,T_b] : % 209.18/209.55 ( class_Rings_Oring__1(T_b) % 209.18/209.55 => 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)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_divmod__nat__if,axiom, % 209.18/209.55 ! [V_m_2,V_n_2] : % 209.18/209.55 ( ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.18/209.55 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) % 209.18/209.55 => 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) ) % 209.18/209.55 & ( ~ ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.18/209.55 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) % 209.18/209.55 => 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)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_eq__Abs__Integ,axiom, % 209.18/209.55 ! [V_z_2] : % 209.18/209.55 ~ ! [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))))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_wf__int__ge__less__than,axiom, % 209.18/209.55 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_wf__int__ge__less__than2,axiom, % 209.18/209.55 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_infinite__UNIV__int,axiom, % 209.18/209.55 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_of__int__eq__iff,axiom, % 209.18/209.55 ! [V_z_2,V_w_2,T_b] : % 209.18/209.55 ( class_Int_Oring__char__0(T_b) % 209.18/209.55 => ( 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) % 209.18/209.55 <=> V_w_2 = V_z_2 ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_of__int__int__eq,axiom, % 209.18/209.55 ! [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) ). % 209.18/209.55 % 209.18/209.55 fof(fact_of__int__eq__0__iff,axiom, % 209.18/209.55 ! [V_z_2,T_b] : % 209.18/209.55 ( class_Int_Oring__char__0(T_b) % 209.18/209.55 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) = c_Groups_Ozero__class_Ozero(T_b) % 209.18/209.55 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_of__int__0__eq__iff,axiom, % 209.18/209.55 ! [V_z_2,T_b] : % 209.18/209.55 ( class_Int_Oring__char__0(T_b) % 209.18/209.55 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) % 209.18/209.55 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_of__int__0,axiom, % 209.18/209.55 ! [T_a] : % 209.18/209.55 ( class_Rings_Oring__1(T_a) % 209.18/209.55 => 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) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_of__int__le__iff,axiom, % 209.18/209.55 ! [V_z_2,V_w_2,T_b] : % 209.18/209.55 ( class_Rings_Olinordered__idom(T_b) % 209.18/209.55 => ( 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))) % 209.18/209.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_of__int__less__iff,axiom, % 209.18/209.55 ! [V_z_2,V_w_2,T_b] : % 209.18/209.55 ( class_Rings_Olinordered__idom(T_b) % 209.18/209.55 => ( 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))) % 209.18/209.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_of__int__add,axiom, % 209.18/209.55 ! [V_z,V_w,T_a] : % 209.18/209.55 ( class_Rings_Oring__1(T_a) % 209.18/209.55 => 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)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_of__int__mult,axiom, % 209.18/209.55 ! [V_z,V_w,T_a] : % 209.18/209.55 ( class_Rings_Oring__1(T_a) % 209.18/209.55 => 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)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_of__int__1,axiom, % 209.18/209.55 ! [T_a] : % 209.18/209.55 ( class_Rings_Oring__1(T_a) % 209.18/209.55 => 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) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_of__int__diff,axiom, % 209.18/209.55 ! [V_z,V_w,T_a] : % 209.18/209.55 ( class_Rings_Oring__1(T_a) % 209.18/209.55 => 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)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_of__int__of__nat__eq,axiom, % 209.18/209.55 ! [V_n,T_a] : % 209.18/209.55 ( class_Rings_Oring__1(T_a) % 209.18/209.55 => 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) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_of__int__minus,axiom, % 209.18/209.55 ! [V_z,T_a] : % 209.18/209.55 ( class_Rings_Oring__1(T_a) % 209.18/209.55 => 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)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_of__int__setsum,axiom, % 209.18/209.55 ! [V_A_2,V_f_2,T_c,T_b] : % 209.18/209.55 ( class_Rings_Oring__1(T_b) % 209.18/209.55 => 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) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_divmod__nat__zero,axiom, % 209.18/209.55 ! [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) ). % 209.18/209.55 % 209.18/209.55 fof(fact_of__int__0__le__iff,axiom, % 209.18/209.55 ! [V_z_2,T_b] : % 209.18/209.55 ( class_Rings_Olinordered__idom(T_b) % 209.18/209.55 => ( 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))) % 209.18/209.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_of__int__le__0__iff,axiom, % 209.18/209.55 ! [V_z_2,T_b] : % 209.18/209.55 ( class_Rings_Olinordered__idom(T_b) % 209.18/209.55 => ( 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))) % 209.18/209.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_of__int__less__0__iff,axiom, % 209.18/209.55 ! [V_z_2,T_b] : % 209.18/209.55 ( class_Rings_Olinordered__idom(T_b) % 209.18/209.55 => ( 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))) % 209.18/209.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_of__int__0__less__iff,axiom, % 209.18/209.55 ! [V_z_2,T_b] : % 209.18/209.55 ( class_Rings_Olinordered__idom(T_b) % 209.18/209.55 => ( 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))) % 209.18/209.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_divmod__nat__base,axiom, % 209.18/209.55 ! [V_n,V_m] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 209.18/209.55 => 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) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Nitpick_OFrac__def,axiom, % 209.18/209.55 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)))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_divmod__int__rel__def,axiom, % 209.18/209.55 ! [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))))))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_nat,axiom, % 209.18/209.55 ! [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) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Integ__def,axiom, % 209.18/209.55 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) ). % 209.18/209.55 % 209.18/209.55 fof(fact_setsum__bounded,axiom, % 209.18/209.55 ! [V_K_2,V_f_2,V_A_2,T_b,T_c] : % 209.18/209.55 ( ( class_Groups_Oordered__ab__semigroup__add(T_c) % 209.18/209.55 & class_Rings_Osemiring__1(T_c) ) % 209.18/209.55 => ( ! [B_i] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2)) % 209.18/209.55 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_i)),V_K_2)) ) % 209.18/209.55 => 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))) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_of__int__eq__id,axiom, % 209.18/209.55 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ). % 209.18/209.55 % 209.18/209.55 fof(fact_nat__int,axiom, % 209.18/209.55 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ). % 209.18/209.55 % 209.18/209.55 fof(fact_unique__remainder,axiom, % 209.18/209.55 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] : % 209.18/209.55 ( 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))) % 209.18/209.55 => ( 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))) % 209.18/209.55 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.55 => V_r = V_r_H ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_unique__quotient,axiom, % 209.18/209.55 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] : % 209.18/209.55 ( 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))) % 209.18/209.55 => ( 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))) % 209.18/209.55 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.55 => V_q = V_q_H ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_self__remainder,axiom, % 209.18/209.55 ! [V_r,V_q,V_a] : % 209.18/209.55 ( 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))) % 209.18/209.55 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.55 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_divmod__int__rel__0,axiom, % 209.18/209.55 ! [V_b] : % 209.18/209.55 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.55 => 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)))) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_transfer__nat__int__numerals_I1_J,axiom, % 209.18/209.55 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_nat__0,axiom, % 209.18/209.55 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 209.18/209.55 % 209.18/209.55 fof(fact_transfer__nat__int__relations_I1_J,axiom, % 209.18/209.55 ! [V_y_2,V_x_2] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 209.18/209.55 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2) % 209.18/209.55 <=> V_x_2 = V_y_2 ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_all__nat,axiom, % 209.18/209.55 ! [V_Pa_2] : % 209.18/209.55 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 209.18/209.55 <=> ! [B_x] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 209.18/209.55 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_ex__nat,axiom, % 209.18/209.55 ! [V_Pa_2] : % 209.18/209.55 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 209.18/209.55 <=> ? [B_x] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 209.18/209.55 & hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_eq__nat__nat__iff,axiom, % 209.18/209.55 ! [V_z_H_2,V_z_2] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2)) % 209.18/209.55 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2) % 209.18/209.55 <=> V_z_2 = V_z_H_2 ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_transfer__nat__int__numerals_I2_J,axiom, % 209.18/209.55 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom, % 209.18/209.55 ! [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))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom, % 209.18/209.55 ! [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))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_transfer__int__nat__set__return__embed,axiom, % 209.18/209.55 ! [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 ). % 209.18/209.55 % 209.18/209.55 fof(fact_self__quotient,axiom, % 209.18/209.55 ! [V_r,V_q,V_a] : % 209.18/209.55 ( 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))) % 209.18/209.55 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.55 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom, % 209.18/209.55 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))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_nat__le__0,axiom, % 209.18/209.55 ! [V_z] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.55 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_nat__0__iff,axiom, % 209.18/209.55 ! [V_i_2] : % 209.18/209.55 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.18/209.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zless__nat__conj,axiom, % 209.18/209.55 ! [V_z_2,V_w_2] : % 209.18/209.55 ( 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))) % 209.18/209.55 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 209.18/209.55 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_nat__mono__iff,axiom, % 209.18/209.55 ! [V_w_2,V_z_2] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 209.18/209.55 => ( 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))) % 209.18/209.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_transfer__nat__int__relations_I3_J,axiom, % 209.18/209.55 ! [V_y_2,V_x_2] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 209.18/209.55 => ( 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))) % 209.18/209.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_nat__1,axiom, % 209.18/209.55 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_int__nat__eq,axiom, % 209.18/209.55 ! [V_z] : % 209.18/209.55 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 209.18/209.55 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) % 209.18/209.55 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 209.18/209.55 => 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) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_int__eq__iff,axiom, % 209.18/209.55 ! [V_z_2,V_m_2] : % 209.18/209.55 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2 % 209.18/209.55 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2) % 209.18/209.55 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_nat__0__le,axiom, % 209.18/209.55 ! [V_z] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 209.18/209.55 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zless__nat__eq__int__zless,axiom, % 209.18/209.55 ! [V_z_2,V_m_2] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2))) % 209.18/209.55 <=> 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)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_nat__zminus__int,axiom, % 209.18/209.55 ! [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) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Rep__Integ,axiom, % 209.18/209.55 ! [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)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom, % 209.18/209.55 ! [V_A_2,V_f_2,T_b] : % 209.18/209.55 ( ( class_Groups_Ocomm__monoid__add(T_b) % 209.18/209.55 & class_Groups_Ocomm__monoid__mult(T_b) ) % 209.18/209.55 => 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)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zero__less__nat__eq,axiom, % 209.18/209.55 ! [V_z_2] : % 209.18/209.55 ( 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))) % 209.18/209.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_transfer__nat__int__relations_I2_J,axiom, % 209.18/209.55 ! [V_y_2,V_x_2] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 209.18/209.55 => ( 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))) % 209.18/209.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_nat__less__eq__zless,axiom, % 209.18/209.55 ! [V_z_2,V_w_2] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 209.18/209.55 => ( 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))) % 209.18/209.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_nat__eq__iff2,axiom, % 209.18/209.55 ! [V_w_2,V_m_2] : % 209.18/209.55 ( V_m_2 = hAPP(c_Int_Onat,V_w_2) % 209.18/209.55 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 209.18/209.55 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) ) % 209.18/209.55 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 209.18/209.55 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_nat__eq__iff,axiom, % 209.18/209.55 ! [V_m_2,V_w_2] : % 209.18/209.55 ( hAPP(c_Int_Onat,V_w_2) = V_m_2 % 209.18/209.55 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 209.18/209.55 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) ) % 209.18/209.55 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 209.18/209.55 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_nat__le__eq__zle,axiom, % 209.18/209.55 ! [V_z_2,V_w_2] : % 209.18/209.55 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 209.18/209.55 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) % 209.18/209.55 => ( 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))) % 209.18/209.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_split__nat,axiom, % 209.18/209.55 ! [V_i_2,V_Pa_2] : % 209.18/209.55 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,V_i_2))) % 209.18/209.55 <=> ( ! [B_n] : % 209.18/209.55 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) % 209.18/209.55 => hBOOL(hAPP(V_Pa_2,B_n)) ) % 209.18/209.55 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.55 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom, % 209.18/209.55 ! [V_y,V_x] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 209.18/209.55 => 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)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_nat__add__distrib,axiom, % 209.18/209.55 ! [V_z_H,V_z] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H)) % 209.18/209.55 => 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)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom, % 209.18/209.55 ! [V_y,V_x] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 209.18/209.55 => 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)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_nat__mult__distrib,axiom, % 209.18/209.55 ! [V_z_H,V_z] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 209.18/209.55 => 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)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_nat__diff__distrib,axiom, % 209.18/209.55 ! [V_z,V_z_H] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z)) % 209.18/209.55 => 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)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom, % 209.18/209.55 ! [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)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_of__nat__nat,axiom, % 209.18/209.55 ! [V_z,T_a] : % 209.18/209.55 ( class_Rings_Oring__1(T_a) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 209.18/209.55 => 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) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_one__less__nat__eq,axiom, % 209.18/209.55 ! [V_z_2] : % 209.18/209.55 ( 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))) % 209.18/209.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_nat__less__iff,axiom, % 209.18/209.55 ! [V_m_2,V_w_2] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2)) % 209.18/209.55 <=> 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))) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Suc__nat__eq__nat__zadd1,axiom, % 209.18/209.55 ! [V_z] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 209.18/209.55 => 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)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_nat__mult__distrib__neg,axiom, % 209.18/209.55 ! [V_z_H,V_z] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.55 => 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))) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom, % 209.18/209.55 ! [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)))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_nat__def,axiom, % 209.18/209.55 ! [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)))))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_zminus1__lemma,axiom, % 209.18/209.55 ! [V_r_2,V_q_2,V_ba_2,V_a_2] : % 209.18/209.55 ( 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))) % 209.18/209.55 => 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))))) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_of__int__of__nat,axiom, % 209.18/209.55 ! [V_k,T_a] : % 209.18/209.55 ( class_Rings_Oring__1(T_a) % 209.18/209.55 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.55 => 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)))) ) % 209.18/209.55 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.55 => 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)) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_divmod__int__relI,axiom, % 209.18/209.55 ! [V_r,V_q,V_b,V_a] : % 209.18/209.55 ( 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) % 209.18/209.55 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 209.18/209.55 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) ) % 209.18/209.55 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 209.18/209.55 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 209.18/209.55 => 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))) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_nat__aux__def,axiom, % 209.18/209.55 ! [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) ). % 209.18/209.55 % 209.18/209.55 fof(fact_transfer__morphism__nat__int,axiom, % 209.18/209.55 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))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom, % 209.18/209.55 ! [V_y,V_x] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 209.18/209.55 => 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)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_card__greaterThanLessThan__int,axiom, % 209.18/209.55 ! [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)))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_image__atLeastZeroLessThan__int,axiom, % 209.18/209.55 ! [V_u_2] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2)) % 209.18/209.55 => 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))) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_finite__atLeastLessThan__int,axiom, % 209.18/209.55 ! [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))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_finite__greaterThanLessThan__int,axiom, % 209.18/209.55 ! [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))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom, % 209.18/209.55 ! [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) ). % 209.18/209.55 % 209.18/209.55 fof(fact_ivl__disj__int_I9_J,axiom, % 209.18/209.55 ! [V_u_2,V_m_2,V_l_2,T_b] : % 209.18/209.55 ( class_Orderings_Oorder(T_b) % 209.18/209.55 => 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)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_atLeastLessThan__eq__iff,axiom, % 209.18/209.55 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] : % 209.18/209.55 ( class_Orderings_Olinorder(T_b) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),V_d_2)) % 209.18/209.55 => ( 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) % 209.18/209.55 <=> ( V_a_2 = V_ca_2 % 209.18/209.55 & V_ba_2 = V_d_2 ) ) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_atLeastLessThan__inj_I1_J,axiom, % 209.18/209.55 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] : % 209.18/209.55 ( class_Orderings_Olinorder(T_b) % 209.18/209.55 => ( 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) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),V_d_2)) % 209.18/209.55 => V_a_2 = V_ca_2 ) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_atLeastLessThan__inj_I2_J,axiom, % 209.18/209.55 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] : % 209.18/209.55 ( class_Orderings_Olinorder(T_b) % 209.18/209.55 => ( 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) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),V_d_2)) % 209.18/209.55 => V_ba_2 = V_d_2 ) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_ivl__disj__un_I15_J,axiom, % 209.18/209.55 ! [V_u_2,V_m_2,V_l_2,T_b] : % 209.18/209.55 ( class_Orderings_Olinorder(T_b) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 209.18/209.55 => 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) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_atLeastLessThan__empty,axiom, % 209.18/209.55 ! [V_a_2,V_ba_2,T_b] : % 209.18/209.55 ( class_Orderings_Oorder(T_b) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),V_a_2)) % 209.18/209.55 => 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)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_atLeastLessThan__empty__iff,axiom, % 209.18/209.55 ! [V_ba_2,V_a_2,T_b] : % 209.18/209.55 ( class_Orderings_Oorder(T_b) % 209.18/209.55 => ( 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)) % 209.18/209.55 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_atLeastLessThan__empty__iff2,axiom, % 209.18/209.55 ! [V_ba_2,V_a_2,T_b] : % 209.18/209.55 ( class_Orderings_Oorder(T_b) % 209.18/209.55 => ( 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) % 209.18/209.55 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_ivl__disj__un_I3_J,axiom, % 209.18/209.55 ! [V_u_2,V_l_2,T_b] : % 209.18/209.55 ( class_Orderings_Olinorder(T_b) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 209.18/209.55 => 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) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_atLeastLessThan__subset__iff,axiom, % 209.18/209.55 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] : % 209.18/209.55 ( class_Orderings_Olinorder(T_b) % 209.18/209.55 => ( 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))) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),V_a_2)) % 209.18/209.55 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),V_a_2)) % 209.18/209.55 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),V_d_2)) ) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_ivl__disj__un_I17_J,axiom, % 209.18/209.55 ! [V_u_2,V_m_2,V_l_2,T_b] : % 209.18/209.55 ( class_Orderings_Olinorder(T_b) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 209.18/209.55 => 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) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_ivl__diff,axiom, % 209.18/209.55 ! [V_m_2,V_n_2,V_i_2,T_b] : % 209.18/209.55 ( class_Orderings_Olinorder(T_b) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_n_2)) % 209.18/209.55 => 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) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_ivl__disj__int_I11_J,axiom, % 209.18/209.55 ! [V_u_2,V_m_2,V_l_2,T_b] : % 209.18/209.55 ( class_Orderings_Oorder(T_b) % 209.18/209.55 => 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)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_finite__atLeastZeroLessThan__int,axiom, % 209.18/209.55 ! [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))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_greaterThanLessThan__empty,axiom, % 209.18/209.55 ! [V_k_2,V_l_2,T_b] : % 209.18/209.55 ( class_Orderings_Oorder(T_b) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2)) % 209.18/209.55 => 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)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_image__uminus__greaterThanLessThan,axiom, % 209.18/209.55 ! [V_y_2,V_x_2,T_b] : % 209.18/209.55 ( class_Groups_Oordered__ab__group__add(T_b) % 209.18/209.55 => 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)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Int__atLeastLessThan,axiom, % 209.18/209.55 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] : % 209.18/209.55 ( class_Orderings_Olinorder(T_b) % 209.18/209.55 => 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)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_ivl__disj__un_I8_J,axiom, % 209.18/209.55 ! [V_u_2,V_l_2,T_b] : % 209.18/209.55 ( class_Orderings_Olinorder(T_b) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 209.18/209.55 => 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) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_ivl__disj__int_I2_J,axiom, % 209.18/209.55 ! [V_u_2,V_l_2,T_b] : % 209.18/209.55 ( class_Orderings_Oorder(T_b) % 209.18/209.55 => 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)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_image__add__int__atLeastLessThan,axiom, % 209.18/209.55 ! [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) ). % 209.18/209.55 % 209.18/209.55 fof(fact_card__atLeastZeroLessThan__int,axiom, % 209.18/209.55 ! [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) ). % 209.18/209.55 % 209.18/209.55 fof(fact_card__atLeastLessThan__int,axiom, % 209.18/209.55 ! [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)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Int__greaterThanLessThan,axiom, % 209.18/209.55 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] : % 209.18/209.55 ( class_Orderings_Olinorder(T_b) % 209.18/209.55 => 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)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom, % 209.18/209.55 ! [V_y,V_x] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 209.18/209.55 => 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))) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_tsub__eq,axiom, % 209.18/209.55 ! [V_x,V_y] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 209.18/209.55 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom, % 209.18/209.55 ! [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)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_tsub__def,axiom, % 209.18/209.55 ! [V_x,V_y] : % 209.18/209.55 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 209.18/209.55 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) % 209.18/209.55 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 209.18/209.55 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom, % 209.18/209.55 ! [V_B_2,V_A_2] : % 209.18/209.55 ( c_Nat__Transfer_Onat__set(V_A_2) % 209.18/209.55 => ( c_Nat__Transfer_Onat__set(V_B_2) % 209.18/209.55 => 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))) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom, % 209.18/209.55 ! [V_B_2,V_A_2] : % 209.18/209.55 ( c_Nat__Transfer_Onat__set(V_A_2) % 209.18/209.55 => ( c_Nat__Transfer_Onat__set(V_B_2) % 209.18/209.55 => 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))) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom, % 209.18/209.55 ! [V_f_2,V_A_2,T_b] : % 209.18/209.55 ( ( class_Groups_Ocomm__monoid__add(T_b) % 209.18/209.55 & class_Groups_Ocomm__monoid__mult(T_b) ) % 209.18/209.55 => ( c_Nat__Transfer_Onat__set(V_A_2) % 209.18/209.55 => 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)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_transfer__int__nat__set__relations_I4_J,axiom, % 209.18/209.55 ! [V_B_2,V_A_2] : % 209.18/209.55 ( c_Nat__Transfer_Onat__set(V_A_2) % 209.18/209.55 => ( c_Nat__Transfer_Onat__set(V_B_2) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) % 209.18/209.55 <=> 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))) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_finite__atLeastLessThan,axiom, % 209.18/209.55 ! [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))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_finite__greaterThanLessThan,axiom, % 209.18/209.55 ! [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))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom, % 209.18/209.55 ! [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) ). % 209.18/209.55 % 209.18/209.55 fof(fact_atLeastLessThan0,axiom, % 209.18/209.55 ! [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)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_atLeast0LessThan,axiom, % 209.18/209.55 ! [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) ). % 209.18/209.55 % 209.18/209.55 fof(fact_card__atLeastLessThan,axiom, % 209.18/209.55 ! [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) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom, % 209.18/209.55 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_image__Suc__atLeastLessThan,axiom, % 209.18/209.55 ! [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)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_setsum__shift__bounds__Suc__ivl,axiom, % 209.18/209.55 ! [V_n_2,V_m_2,V_f_2,T_b] : % 209.18/209.55 ( class_Groups_Ocomm__monoid__add(T_b) % 209.18/209.55 => 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)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_setsum__shift__bounds__nat__ivl,axiom, % 209.18/209.55 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] : % 209.18/209.55 ( class_Groups_Ocomm__monoid__add(T_b) % 209.18/209.55 => 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)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom, % 209.18/209.55 ! [V_B_2,V_A_2] : % 209.18/209.55 ( c_Nat__Transfer_Onat__set(V_A_2) % 209.18/209.55 => ( c_Nat__Transfer_Onat__set(V_B_2) % 209.18/209.55 => 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)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom, % 209.18/209.55 ! [V_B_2,V_A_2] : % 209.18/209.55 ( c_Nat__Transfer_Onat__set(V_A_2) % 209.18/209.55 => ( c_Nat__Transfer_Onat__set(V_B_2) % 209.18/209.55 => 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)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_nat__set__def,axiom, % 209.18/209.55 ! [V_S_2] : % 209.18/209.55 ( c_Nat__Transfer_Onat__set(V_S_2) % 209.18/209.55 <=> ! [B_x] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2)) % 209.18/209.55 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_image__add__atLeastLessThan,axiom, % 209.18/209.55 ! [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)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom, % 209.18/209.55 ! [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)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_transfer__int__nat__set__relations_I3_J,axiom, % 209.18/209.55 ! [V_B_2,V_A_2] : % 209.18/209.55 ( c_Nat__Transfer_Onat__set(V_A_2) % 209.18/209.55 => ( c_Nat__Transfer_Onat__set(V_B_2) % 209.18/209.55 => ( V_A_2 = V_B_2 % 209.18/209.55 <=> 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) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_setsum__add__nat__ivl,axiom, % 209.18/209.55 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] : % 209.18/209.55 ( class_Groups_Ocomm__monoid__add(T_b) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2)) % 209.18/209.55 => 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)) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_setsum__diff__nat__ivl,axiom, % 209.18/209.55 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] : % 209.18/209.55 ( class_Groups_Oab__group__add(T_b) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2)) % 209.18/209.55 => 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)) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_atLeastLessThan__singleton,axiom, % 209.18/209.55 ! [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))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_UN__UN__finite__eq,axiom, % 209.18/209.55 ! [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) ). % 209.18/209.55 % 209.18/209.55 fof(fact_atLeastLessThan__add__Un,axiom, % 209.18/209.55 ! [V_k_2,V_j_2,V_i_2] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 209.18/209.55 => 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))) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_subset__card__intvl__is__intvl,axiom, % 209.18/209.55 ! [V_k_2,V_A_2] : % 209.18/209.55 ( 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))))) % 209.18/209.55 => 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))) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom, % 209.18/209.55 ! [V_k_2,V_f_2,T_b] : % 209.18/209.55 ( class_Groups_Ocomm__monoid__add(T_b) % 209.18/209.55 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_b) % 209.18/209.55 => 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)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_setsum__head__upt__Suc,axiom, % 209.18/209.55 ! [V_f_2,V_n_2,V_m_2,T_b] : % 209.18/209.55 ( class_Groups_Ocomm__monoid__add(T_b) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 209.18/209.55 => 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))) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_atLeastLessThanSuc,axiom, % 209.18/209.55 ! [V_n_2,V_m_2] : % 209.18/209.55 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 209.18/209.55 => 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)) ) % 209.18/209.55 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 209.18/209.55 => 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)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom, % 209.18/209.55 ! [V_x_2,V_A_2] : % 209.18/209.55 ( c_Nat__Transfer_Onat__set(V_A_2) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 209.18/209.55 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_card__greaterThanLessThan,axiom, % 209.18/209.55 ! [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)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_setsum__op__ivl__Suc,axiom, % 209.18/209.55 ! [V_f_2,V_m_2,V_n_2,T_b] : % 209.18/209.55 ( class_Groups_Ocomm__monoid__add(T_b) % 209.18/209.55 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 209.18/209.55 => 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) ) % 209.18/209.55 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) % 209.18/209.55 => 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)) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom, % 209.18/209.55 ! [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))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_transfer__nat__int__set__return__embed,axiom, % 209.18/209.55 ! [V_A_2] : % 209.18/209.55 ( c_Nat__Transfer_Onat__set(V_A_2) % 209.18/209.55 => 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 ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_transfer__int__nat__set__relations_I1_J,axiom, % 209.18/209.55 ! [V_A_2] : % 209.18/209.55 ( c_Nat__Transfer_Onat__set(V_A_2) % 209.18/209.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2)) % 209.18/209.55 <=> 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))) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom, % 209.18/209.55 ! [V_A_2] : % 209.18/209.55 ( c_Nat__Transfer_Onat__set(V_A_2) % 209.18/209.55 => 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)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_image__minus__const__atLeastLessThan__nat,axiom, % 209.18/209.55 ! [V_x_2,V_y_2,V_ca_2] : % 209.18/209.55 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_ca_2),V_y_2)) % 209.18/209.55 => 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)) ) % 209.18/209.55 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_ca_2),V_y_2)) % 209.18/209.55 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 209.18/209.55 => 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))) ) % 209.18/209.55 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 209.18/209.55 => 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)) ) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_transfer__int__nat__set__relations_I5_J,axiom, % 209.18/209.55 ! [V_B_2,V_A_2] : % 209.18/209.55 ( c_Nat__Transfer_Onat__set(V_A_2) % 209.18/209.55 => ( c_Nat__Transfer_Onat__set(V_B_2) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) % 209.18/209.55 <=> 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))) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_transfer__int__nat__set__relations_I2_J,axiom, % 209.18/209.55 ! [V_A_2,V_x_2] : % 209.18/209.55 ( c_Nat__Transfer_Ois__nat(V_x_2) % 209.18/209.55 => ( c_Nat__Transfer_Onat__set(V_A_2) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 209.18/209.55 <=> 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))) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_UN__finite2__subset,axiom, % 209.18/209.55 ! [V_B_2,V_k_2,V_A_2,T_b] : % 209.18/209.55 ( ! [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))) % 209.18/209.55 => 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))) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_all__nat__less__eq,axiom, % 209.18/209.55 ! [V_Pa_2,V_n_2] : % 209.18/209.55 ( ! [B_m] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2)) % 209.18/209.55 => hBOOL(hAPP(V_Pa_2,B_m)) ) % 209.18/209.55 <=> ! [B_x] : % 209.18/209.55 ( 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))) % 209.18/209.55 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_ex__nat__less__eq,axiom, % 209.18/209.55 ! [V_Pa_2,V_n_2] : % 209.18/209.55 ( ? [B_m] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2)) % 209.18/209.55 & hBOOL(hAPP(V_Pa_2,B_m)) ) % 209.18/209.55 <=> ? [B_x] : % 209.18/209.55 ( 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))) % 209.18/209.55 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom, % 209.18/209.55 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom, % 209.18/209.55 ! [V_y,V_x] : % 209.18/209.55 ( c_Nat__Transfer_Ois__nat(V_x) % 209.18/209.55 => ( c_Nat__Transfer_Ois__nat(V_y) % 209.18/209.55 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom, % 209.18/209.55 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom, % 209.18/209.55 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom, % 209.18/209.55 ! [V_y,V_x] : % 209.18/209.55 ( c_Nat__Transfer_Ois__nat(V_x) % 209.18/209.55 => ( c_Nat__Transfer_Ois__nat(V_y) % 209.18/209.55 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom, % 209.18/209.55 ! [V_y,V_x] : % 209.18/209.55 ( c_Nat__Transfer_Ois__nat(V_x) % 209.18/209.55 => ( c_Nat__Transfer_Ois__nat(V_y) % 209.18/209.55 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_is__nat__def,axiom, % 209.18/209.55 ! [V_x_2] : % 209.18/209.55 ( c_Nat__Transfer_Ois__nat(V_x_2) % 209.18/209.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom, % 209.18/209.55 ! [V_x_2,V_A_2] : % 209.18/209.55 ( c_Nat__Transfer_Onat__set(V_A_2) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 209.18/209.55 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom, % 209.18/209.55 ! [V_f_2,V_A_2,T_b] : % 209.18/209.55 ( ! [B_x] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 209.18/209.55 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) ) % 209.18/209.55 => 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)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_wf__lenlex,axiom, % 209.18/209.55 ! [V_r_2,T_b] : % 209.18/209.55 ( c_Wellfounded_Owf(T_b,V_r_2) % 209.18/209.55 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olenlex(T_b,V_r_2)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_UN__finite2__eq,axiom, % 209.18/209.55 ! [V_B_2,V_k_2,V_A_2,T_b] : % 209.18/209.55 ( ! [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) % 209.18/209.55 => 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) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_UN__finite__subset,axiom, % 209.18/209.55 ! [V_C_2,V_A_2,T_b] : % 209.18/209.55 ( ! [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)) % 209.18/209.55 => 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)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_wf__lex,axiom, % 209.18/209.55 ! [V_r_2,T_b] : % 209.18/209.55 ( c_Wellfounded_Owf(T_b,V_r_2) % 209.18/209.55 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olex(T_b,V_r_2)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Ints__odd__less__0,axiom, % 209.18/209.55 ! [V_a_2,T_b] : % 209.18/209.55 ( class_Rings_Olinordered__idom(T_b) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 209.18/209.55 => ( 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))) % 209.18/209.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_setsum__multicount__gen,axiom, % 209.18/209.55 ! [V_k_2,V_R_2,V_t_2,T_c,V_s_2,T_b] : % 209.18/209.55 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 209.18/209.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_t_2)) % 209.18/209.55 => ( ! [B_x] : % 209.18/209.55 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_t_2)) % 209.18/209.55 => 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) ) % 209.18/209.55 => 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) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_ivl__disj__un_I4_J,axiom, % 209.18/209.55 ! [V_u_2,V_l_2,T_b] : % 209.18/209.55 ( class_Orderings_Olinorder(T_b) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 209.18/209.55 => 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) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_finite__greaterThanAtMost,axiom, % 209.18/209.55 ! [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))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_finite__greaterThanAtMost__int,axiom, % 209.18/209.55 ! [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))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_greaterThanAtMost__empty,axiom, % 209.18/209.55 ! [V_k_2,V_l_2,T_b] : % 209.18/209.55 ( class_Orderings_Oorder(T_b) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2)) % 209.18/209.55 => 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)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_greaterThanAtMost__empty__iff,axiom, % 209.18/209.55 ! [V_l_2,V_k_2,T_b] : % 209.18/209.55 ( class_Orderings_Oorder(T_b) % 209.18/209.55 => ( 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)) % 209.18/209.55 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_greaterThanAtMost__empty__iff2,axiom, % 209.18/209.55 ! [V_l_2,V_k_2,T_b] : % 209.18/209.55 ( class_Orderings_Oorder(T_b) % 209.18/209.55 => ( 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) % 209.18/209.55 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_ivl__disj__un_I20_J,axiom, % 209.18/209.55 ! [V_u_2,V_m_2,V_l_2,T_b] : % 209.18/209.55 ( class_Orderings_Olinorder(T_b) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 209.18/209.55 => 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) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_ivl__disj__int_I14_J,axiom, % 209.18/209.55 ! [V_u_2,V_m_2,V_l_2,T_b] : % 209.18/209.55 ( class_Orderings_Oorder(T_b) % 209.18/209.55 => 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)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Ints__0,axiom, % 209.18/209.55 ! [T_b] : % 209.18/209.55 ( class_Rings_Oring__1(T_b) % 209.18/209.55 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Ints__add,axiom, % 209.18/209.55 ! [V_ba_2,V_a_2,T_b] : % 209.18/209.55 ( class_Rings_Oring__1(T_b) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),c_Int_Oring__1__class_OInts(T_b))) % 209.18/209.55 => 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))) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Ints__mult,axiom, % 209.18/209.55 ! [V_ba_2,V_a_2,T_b] : % 209.18/209.55 ( class_Rings_Oring__1(T_b) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),c_Int_Oring__1__class_OInts(T_b))) % 209.18/209.55 => 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))) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Ints__diff,axiom, % 209.18/209.55 ! [V_ba_2,V_a_2,T_b] : % 209.18/209.55 ( class_Rings_Oring__1(T_b) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),c_Int_Oring__1__class_OInts(T_b))) % 209.18/209.55 => 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))) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Ints__1,axiom, % 209.18/209.55 ! [T_b] : % 209.18/209.55 ( class_Rings_Oring__1(T_b) % 209.18/209.55 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Ints__minus,axiom, % 209.18/209.55 ! [V_a_2,T_b] : % 209.18/209.55 ( class_Rings_Oring__1(T_b) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 209.18/209.55 => 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))) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Ints__of__nat,axiom, % 209.18/209.55 ! [V_n_2,T_b] : % 209.18/209.55 ( class_Rings_Oring__1(T_b) % 209.18/209.55 => 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))) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_card__greaterThanAtMost,axiom, % 209.18/209.55 ! [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) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Ints__of__int,axiom, % 209.18/209.55 ! [V_z_2,T_b] : % 209.18/209.55 ( class_Rings_Oring__1(T_b) % 209.18/209.55 => 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))) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Int__greaterThanAtMost,axiom, % 209.18/209.55 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] : % 209.18/209.55 ( class_Orderings_Olinorder(T_b) % 209.18/209.55 => 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)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Ints__double__eq__0__iff,axiom, % 209.18/209.55 ! [V_a_2,T_b] : % 209.18/209.55 ( class_Int_Oring__char__0(T_b) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 209.18/209.55 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 209.18/209.55 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_image__uminus__atLeastLessThan,axiom, % 209.18/209.55 ! [V_y_2,V_x_2,T_b] : % 209.18/209.55 ( class_Groups_Oordered__ab__group__add(T_b) % 209.18/209.55 => 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)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_image__uminus__greaterThanAtMost,axiom, % 209.18/209.55 ! [V_y_2,V_x_2,T_b] : % 209.18/209.55 ( class_Groups_Oordered__ab__group__add(T_b) % 209.18/209.55 => 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)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_ivl__disj__int_I10_J,axiom, % 209.18/209.55 ! [V_u_2,V_m_2,V_l_2,T_b] : % 209.18/209.55 ( class_Orderings_Oorder(T_b) % 209.18/209.55 => 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)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_card__greaterThanAtMost__int,axiom, % 209.18/209.55 ! [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)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_ivl__disj__un_I16_J,axiom, % 209.18/209.55 ! [V_u_2,V_m_2,V_l_2,T_b] : % 209.18/209.55 ( class_Orderings_Olinorder(T_b) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2)) % 209.18/209.55 => 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) ) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_Ints__odd__nonzero,axiom, % 209.18/209.55 ! [V_a_2,T_b] : % 209.18/209.55 ( class_Int_Oring__char__0(T_b) % 209.18/209.55 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 209.18/209.55 => 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) ) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_lex__def,axiom, % 209.18/209.55 ! [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)) ). % 209.18/209.55 % 209.18/209.55 fof(fact_wf__lexn,axiom, % 209.18/209.55 ! [V_n_2,V_r_2,T_b] : % 209.18/209.55 ( c_Wellfounded_Owf(T_b,V_r_2) % 209.18/209.55 => c_Wellfounded_Owf(tc_List_Olist(T_b),hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_com_Osize_I4_J,axiom, % 209.18/209.55 ! [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))) ). % 209.18/209.55 % 209.18/209.55 fof(fact_card__Pow,axiom, % 209.18/209.55 ! [V_A_2,T_b] : % 209.18/209.55 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.55 => 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)) ) ). % 209.18/209.55 % 209.18/209.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom, % 209.18/209.55 ! [V_q,V_p,V_x,T_a] : % 209.18/209.55 ( class_Rings_Ocomm__semiring__1(T_a) % 209.18/209.56 => 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)) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom, % 209.18/209.56 ! [V_q,V_y,V_x,T_a] : % 209.18/209.56 ( class_Rings_Ocomm__semiring__1(T_a) % 209.18/209.56 => 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)) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom, % 209.18/209.56 ! [V_x,T_a] : % 209.18/209.56 ( class_Rings_Ocomm__semiring__1(T_a) % 209.18/209.56 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_of__int__power,axiom, % 209.18/209.56 ! [V_n,V_z,T_a] : % 209.18/209.56 ( class_Rings_Oring__1(T_a) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom, % 209.18/209.56 ! [V_q,V_x,T_a] : % 209.18/209.56 ( class_Rings_Ocomm__semiring__1(T_a) % 209.18/209.56 => 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)) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom, % 209.18/209.56 ! [V_q,V_x,T_a] : % 209.18/209.56 ( class_Rings_Ocomm__semiring__1(T_a) % 209.18/209.56 => 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)) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom, % 209.18/209.56 ! [V_q,V_x,T_a] : % 209.18/209.56 ( class_Rings_Ocomm__semiring__1(T_a) % 209.18/209.56 => 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)) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom, % 209.18/209.56 ! [V_x,T_a] : % 209.18/209.56 ( class_Rings_Ocomm__semiring__1(T_a) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom, % 209.18/209.56 ! [V_q,V_p,V_x,T_a] : % 209.18/209.56 ( class_Rings_Ocomm__semiring__1(T_a) % 209.18/209.56 => 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)) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_Ints__power,axiom, % 209.18/209.56 ! [V_n_2,V_a_2,T_b] : % 209.18/209.56 ( class_Rings_Oring__1(T_b) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 209.18/209.56 => 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))) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_lexn_Osimps_I1_J,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_com_Osize_I2_J,axiom, % 209.18/209.56 ! [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) ). % 209.18/209.56 % 209.18/209.56 fof(fact_com_Osize_I1_J,axiom, % 209.18/209.56 c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 209.18/209.56 % 209.18/209.56 fof(fact_power__eq__if,axiom, % 209.18/209.56 ! [V_p,V_m] : % 209.18/209.56 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.18/209.56 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) % 209.18/209.56 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.18/209.56 => 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)))) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_com_Osize_I6_J,axiom, % 209.18/209.56 ! [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))) ). % 209.18/209.56 % 209.18/209.56 fof(fact_com_Osize_I5_J,axiom, % 209.18/209.56 ! [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))) ). % 209.18/209.56 % 209.18/209.56 fof(fact_power__strict__mono,axiom, % 209.18/209.56 ! [V_n,V_b,V_a,T_a] : % 209.18/209.56 ( class_Rings_Olinordered__semidom(T_a) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 209.18/209.56 => 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))) ) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_one__less__power,axiom, % 209.18/209.56 ! [V_n,V_a,T_a] : % 209.18/209.56 ( class_Rings_Olinordered__semidom(T_a) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 209.18/209.56 => 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))) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_power__le__imp__le__exp,axiom, % 209.18/209.56 ! [V_n,V_m,V_a,T_a] : % 209.18/209.56 ( class_Rings_Olinordered__semidom(T_a) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 209.18/209.56 => ( 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))) % 209.18/209.56 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_power__increasing__iff,axiom, % 209.18/209.56 ! [V_y_2,V_x_2,V_ba_2,T_b] : % 209.18/209.56 ( class_Rings_Olinordered__semidom(T_b) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_ba_2)) % 209.18/209.56 => ( 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))) % 209.18/209.56 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom, % 209.18/209.56 ! [V_n,V_x] : % 209.18/209.56 ( c_Nat__Transfer_Ois__nat(V_x) % 209.18/209.56 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zpower__zpower,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom, % 209.18/209.56 ! [V_n,V_x] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 209.18/209.56 => 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))) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zpower__zadd__distrib,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zpower__int,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_int__power,axiom, % 209.18/209.56 ! [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) ). % 209.18/209.56 % 209.18/209.56 fof(fact_nat__power__eq,axiom, % 209.18/209.56 ! [V_n,V_z] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom, % 209.18/209.56 ! [V_n,V_x] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 209.18/209.56 => 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)) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_field__power__not__zero,axiom, % 209.18/209.56 ! [V_n,V_a,T_a] : % 209.18/209.56 ( class_Rings_Oring__1__no__zero__divisors(T_a) % 209.18/209.56 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 209.18/209.56 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_power__mult__distrib,axiom, % 209.18/209.56 ! [V_n,V_b,V_a,T_a] : % 209.18/209.56 ( class_Groups_Ocomm__monoid__mult(T_a) % 209.18/209.56 => 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)) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_power__commutes,axiom, % 209.18/209.56 ! [V_n,V_a,T_a] : % 209.18/209.56 ( class_Groups_Omonoid__mult(T_a) % 209.18/209.56 => 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)) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_power__one,axiom, % 209.18/209.56 ! [V_n,T_a] : % 209.18/209.56 ( class_Groups_Omonoid__mult(T_a) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_power__mult,axiom, % 209.18/209.56 ! [V_n,V_m,V_a,T_a] : % 209.18/209.56 ( class_Groups_Omonoid__mult(T_a) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_power__one__right,axiom, % 209.18/209.56 ! [V_a,T_a] : % 209.18/209.56 ( class_Groups_Omonoid__mult(T_a) % 209.18/209.56 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zero__le__power,axiom, % 209.18/209.56 ! [V_n,V_a,T_a] : % 209.18/209.56 ( class_Rings_Olinordered__semidom(T_a) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 209.18/209.56 => 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))) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_power__mono,axiom, % 209.18/209.56 ! [V_n,V_b,V_a,T_a] : % 209.18/209.56 ( class_Rings_Olinordered__semidom(T_a) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 209.18/209.56 => 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))) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zero__less__power,axiom, % 209.18/209.56 ! [V_n,V_a,T_a] : % 209.18/209.56 ( class_Rings_Olinordered__semidom(T_a) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 209.18/209.56 => 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))) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_power__eq__0__iff,axiom, % 209.18/209.56 ! [V_n_2,V_a_2,T_b] : % 209.18/209.56 ( ( class_Power_Opower(T_b) % 209.18/209.56 & class_Rings_Omult__zero(T_b) % 209.18/209.56 & class_Rings_Ono__zero__divisors(T_b) % 209.18/209.56 & class_Rings_Ozero__neq__one(T_b) ) % 209.18/209.56 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_b) % 209.18/209.56 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b) % 209.18/209.56 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_one__le__power,axiom, % 209.18/209.56 ! [V_n,V_a,T_a] : % 209.18/209.56 ( class_Rings_Olinordered__semidom(T_a) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 209.18/209.56 => 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))) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_power__0__Suc,axiom, % 209.18/209.56 ! [V_n,T_a] : % 209.18/209.56 ( ( class_Power_Opower(T_a) % 209.18/209.56 & class_Rings_Osemiring__0(T_a) ) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_power__inject__exp,axiom, % 209.18/209.56 ! [V_n_2,V_m_2,V_a_2,T_b] : % 209.18/209.56 ( class_Rings_Olinordered__semidom(T_b) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2)) % 209.18/209.56 => ( 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) % 209.18/209.56 <=> V_m_2 = V_n_2 ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_power__Suc2,axiom, % 209.18/209.56 ! [V_n,V_a,T_a] : % 209.18/209.56 ( class_Groups_Omonoid__mult(T_a) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_power__Suc,axiom, % 209.18/209.56 ! [V_n,V_a,T_a] : % 209.18/209.56 ( class_Power_Opower(T_a) % 209.18/209.56 => 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)) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_power__0,axiom, % 209.18/209.56 ! [V_a,T_a] : % 209.18/209.56 ( class_Power_Opower(T_a) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_power__add,axiom, % 209.18/209.56 ! [V_n,V_m,V_a,T_a] : % 209.18/209.56 ( class_Groups_Omonoid__mult(T_a) % 209.18/209.56 => 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)) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_power__Suc__0,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_nat__power__eq__Suc__0__iff,axiom, % 209.18/209.56 ! [V_m_2,V_x_2] : % 209.18/209.56 ( 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)) % 209.18/209.56 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.18/209.56 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_nat__zero__less__power__iff,axiom, % 209.18/209.56 ! [V_n_2,V_x_2] : % 209.18/209.56 ( 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))) % 209.18/209.56 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2)) % 209.18/209.56 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_nat__power__less__imp__less,axiom, % 209.18/209.56 ! [V_n,V_m,V_i] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i)) % 209.18/209.56 => ( 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))) % 209.18/209.56 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_of__nat__power,axiom, % 209.18/209.56 ! [V_n,V_m,T_a] : % 209.18/209.56 ( class_Rings_Osemiring__1(T_a) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_power__less__imp__less__base,axiom, % 209.18/209.56 ! [V_b,V_n,V_a,T_a] : % 209.18/209.56 ( class_Rings_Olinordered__semidom(T_a) % 209.18/209.56 => ( 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))) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 209.18/209.56 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_power__inject__base,axiom, % 209.18/209.56 ! [V_b,V_n,V_a,T_a] : % 209.18/209.56 ( class_Rings_Olinordered__semidom(T_a) % 209.18/209.56 => ( 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)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 209.18/209.56 => V_a = V_b ) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_power__le__imp__le__base,axiom, % 209.18/209.56 ! [V_b,V_n,V_a,T_a] : % 209.18/209.56 ( class_Rings_Olinordered__semidom(T_a) % 209.18/209.56 => ( 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)))) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 209.18/209.56 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_power__less__power__Suc,axiom, % 209.18/209.56 ! [V_n,V_a,T_a] : % 209.18/209.56 ( class_Rings_Olinordered__semidom(T_a) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 209.18/209.56 => 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)))) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_power__gt1__lemma,axiom, % 209.18/209.56 ! [V_n,V_a,T_a] : % 209.18/209.56 ( class_Rings_Olinordered__semidom(T_a) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 209.18/209.56 => 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)))) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_power__0__left,axiom, % 209.18/209.56 ! [V_n,T_a] : % 209.18/209.56 ( ( class_Power_Opower(T_a) % 209.18/209.56 & class_Rings_Osemiring__0(T_a) ) % 209.18/209.56 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.18/209.56 => 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) ) % 209.18/209.56 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.18/209.56 => 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) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_power__gt1,axiom, % 209.18/209.56 ! [V_n,V_a,T_a] : % 209.18/209.56 ( class_Rings_Olinordered__semidom(T_a) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 209.18/209.56 => 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)))) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_power__strict__increasing,axiom, % 209.18/209.56 ! [V_a,V_N,V_n,T_a] : % 209.18/209.56 ( class_Rings_Olinordered__semidom(T_a) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 209.18/209.56 => 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))) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_power__less__imp__less__exp,axiom, % 209.18/209.56 ! [V_n,V_m,V_a,T_a] : % 209.18/209.56 ( class_Rings_Olinordered__semidom(T_a) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 209.18/209.56 => ( 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))) % 209.18/209.56 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_power__strict__increasing__iff,axiom, % 209.18/209.56 ! [V_y_2,V_x_2,V_ba_2,T_b] : % 209.18/209.56 ( class_Rings_Olinordered__semidom(T_b) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_ba_2)) % 209.18/209.56 => ( 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))) % 209.18/209.56 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_power__increasing,axiom, % 209.18/209.56 ! [V_a,V_N,V_n,T_a] : % 209.18/209.56 ( class_Rings_Olinordered__semidom(T_a) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 209.18/209.56 => 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))) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_power__minus,axiom, % 209.18/209.56 ! [V_n,V_a,T_a] : % 209.18/209.56 ( class_Rings_Oring__1(T_a) % 209.18/209.56 => 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)) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_nat__one__le__power,axiom, % 209.18/209.56 ! [V_n,V_i] : % 209.18/209.56 ( 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)) % 209.18/209.56 => 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))) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_power__Suc__less,axiom, % 209.18/209.56 ! [V_n,V_a,T_a] : % 209.18/209.56 ( class_Rings_Olinordered__semidom(T_a) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 209.18/209.56 => 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))) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_power__eq__imp__eq__base,axiom, % 209.18/209.56 ! [V_b,V_n,V_a,T_a] : % 209.18/209.56 ( class_Rings_Olinordered__semidom(T_a) % 209.18/209.56 => ( 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) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 209.18/209.56 => V_a = V_b ) ) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_power__Suc__less__one,axiom, % 209.18/209.56 ! [V_n,V_a,T_a] : % 209.18/209.56 ( class_Rings_Olinordered__semidom(T_a) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 209.18/209.56 => 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))) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_power__strict__decreasing,axiom, % 209.18/209.56 ! [V_a,V_N,V_n,T_a] : % 209.18/209.56 ( class_Rings_Olinordered__semidom(T_a) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 209.18/209.56 => 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))) ) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_power__decreasing,axiom, % 209.18/209.56 ! [V_a,V_N,V_n,T_a] : % 209.18/209.56 ( class_Rings_Olinordered__semidom(T_a) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 209.18/209.56 => 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))) ) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_power__power__power,axiom, % 209.18/209.56 ! [T_b] : % 209.18/209.56 ( class_Power_Opower(T_b) % 209.18/209.56 => 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)) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_int__power__div__base,axiom, % 209.18/209.56 ! [V_k,V_m] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 209.18/209.56 => 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)))) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_card__Plus__conv__if,axiom, % 209.18/209.56 ! [V_B_2,T_c,V_A_2,T_b] : % 209.18/209.56 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.56 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) % 209.18/209.56 => 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)) ) % 209.18/209.56 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.56 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) % 209.18/209.56 => 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) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_type__definition__Integ,axiom, % 209.18/209.56 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) ). % 209.18/209.56 % 209.18/209.56 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom, % 209.18/209.56 ! [V_y,V_x] : % 209.18/209.56 ( c_Nat__Transfer_Ois__nat(V_x) % 209.18/209.56 => ( c_Nat__Transfer_Ois__nat(V_y) % 209.18/209.56 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zdiv__zminus2,axiom, % 209.18/209.56 ! [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) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zdiv__zminus__zminus,axiom, % 209.18/209.56 ! [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) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__by__0,axiom, % 209.18/209.56 ! [V_a,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zdiv__zero,axiom, % 209.18/209.56 ! [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) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__0,axiom, % 209.18/209.56 ! [V_a,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__by__1,axiom, % 209.18/209.56 ! [V_a,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom, % 209.18/209.56 ! [V_y,V_x] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 209.18/209.56 => 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))) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_pos__imp__zdiv__neg__iff,axiom, % 209.18/209.56 ! [V_a_2,V_ba_2] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_ba_2)) % 209.18/209.56 => ( 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))) % 209.18/209.56 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_neg__imp__zdiv__neg__iff,axiom, % 209.18/209.56 ! [V_a_2,V_ba_2] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_ba_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.56 => ( 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))) % 209.18/209.56 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__neg__pos__less0,axiom, % 209.18/209.56 ! [V_b,V_a] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 209.18/209.56 => 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))) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zdiv__self,axiom, % 209.18/209.56 ! [V_a] : % 209.18/209.56 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.56 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__mult__mult1,axiom, % 209.18/209.56 ! [V_b,V_a,V_c,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 209.18/209.56 => 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) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__mult__mult2,axiom, % 209.18/209.56 ! [V_b,V_a,V_c,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 209.18/209.56 => 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) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__mult__self1__is__id,axiom, % 209.18/209.56 ! [V_a,V_b,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 209.18/209.56 => 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 ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__mult__self2__is__id,axiom, % 209.18/209.56 ! [V_a,V_b,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 209.18/209.56 => 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 ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__mult__mult1__if,axiom, % 209.18/209.56 ! [V_b,V_a,V_c,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a) % 209.18/209.56 => 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) ) % 209.18/209.56 & ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 209.18/209.56 => 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) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__self,axiom, % 209.18/209.56 ! [V_a,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 209.18/209.56 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zdiv__eq__0__iff,axiom, % 209.18/209.56 ! [V_k_2,V_i_2] : % 209.18/209.56 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.56 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.56 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2)) % 209.18/209.56 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) ) % 209.18/209.56 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.56 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_pos__imp__zdiv__nonneg__iff,axiom, % 209.18/209.56 ! [V_a_2,V_ba_2] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_ba_2)) % 209.18/209.56 => ( 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))) % 209.18/209.56 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_pos__imp__zdiv__pos__iff,axiom, % 209.18/209.56 ! [V_i_2,V_k_2] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 209.18/209.56 => ( 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))) % 209.18/209.56 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom, % 209.18/209.56 ! [V_ba_2,V_a_2] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) % 209.18/209.56 => ( 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))) % 209.18/209.56 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_ba_2),V_a_2)) % 209.18/209.56 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_ba_2)) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zdiv__mono2,axiom, % 209.18/209.56 ! [V_b,V_b_H,V_a] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 209.18/209.56 => 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))) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__nonneg__neg__le0,axiom, % 209.18/209.56 ! [V_b,V_a] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.56 => 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))) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__pos__pos__trivial,axiom, % 209.18/209.56 ! [V_b,V_a] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 209.18/209.56 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_neg__imp__zdiv__nonneg__iff,axiom, % 209.18/209.56 ! [V_a_2,V_ba_2] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_ba_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.56 => ( 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))) % 209.18/209.56 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__nonpos__pos__le0,axiom, % 209.18/209.56 ! [V_b,V_a] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 209.18/209.56 => 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))) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zdiv__mono2__neg,axiom, % 209.18/209.56 ! [V_b,V_b_H,V_a] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 209.18/209.56 => 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))) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__neg__neg__trivial,axiom, % 209.18/209.56 ! [V_b,V_a] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a)) % 209.18/209.56 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zdiv__mono1,axiom, % 209.18/209.56 ! [V_b,V_a_H,V_a] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 209.18/209.56 => 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))) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zdiv__mono1__neg,axiom, % 209.18/209.56 ! [V_b,V_a_H,V_a] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.56 => 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))) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_int__div__less__self,axiom, % 209.18/209.56 ! [V_k,V_x] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k)) % 209.18/209.56 => 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)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zdiv__zmult2__eq,axiom, % 209.18/209.56 ! [V_b,V_a,V_c] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_power_Opower_Opower__0,axiom, % 209.18/209.56 ! [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 ). % 209.18/209.56 % 209.18/209.56 fof(fact_power_Opower_Opower__Suc,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_divmod__int__rel__div,axiom, % 209.18/209.56 ! [V_r,V_q,V_b,V_a] : % 209.18/209.56 ( 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))) % 209.18/209.56 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.56 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__mult__self1,axiom, % 209.18/209.56 ! [V_c,V_a,V_b,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 209.18/209.56 => 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)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__mult__self2,axiom, % 209.18/209.56 ! [V_c,V_a,V_b,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 209.18/209.56 => 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)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__add__self1,axiom, % 209.18/209.56 ! [V_a,V_b,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 209.18/209.56 => 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)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__add__self2,axiom, % 209.18/209.56 ! [V_a,V_b,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 209.18/209.56 => 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)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_finite__Plus__iff,axiom, % 209.18/209.56 ! [V_B_2,V_A_2,T_c,T_b] : % 209.18/209.56 ( 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))) % 209.18/209.56 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.56 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_finite__Plus,axiom, % 209.18/209.56 ! [V_B_2,T_c,V_A_2,T_b] : % 209.18/209.56 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 209.18/209.56 => 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))) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_finite__PlusD_I1_J,axiom, % 209.18/209.56 ! [V_B_2,V_A_2,T_c,T_b] : % 209.18/209.56 ( 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))) % 209.18/209.56 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_finite__PlusD_I2_J,axiom, % 209.18/209.56 ! [V_B_2,V_A_2,T_c,T_b] : % 209.18/209.56 ( 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))) % 209.18/209.56 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_split__zdiv,axiom, % 209.18/209.56 ! [V_k_2,V_n_2,V_Pa_2] : % 209.18/209.56 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2))) % 209.18/209.56 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.56 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 209.18/209.56 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 209.18/209.56 => ! [B_i] : % 209.18/209.56 ( ? [B_j] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 209.18/209.56 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 209.18/209.56 & 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) ) % 209.18/209.56 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) % 209.18/209.56 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.56 => ! [B_i] : % 209.18/209.56 ( ? [B_j] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 209.18/209.56 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.56 & 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) ) % 209.18/209.56 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_divmod__int__rel__div__eq,axiom, % 209.18/209.56 ! [V_r_1,V_y,V_b_1,V_a_1] : % 209.18/209.56 ( 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) % 209.18/209.56 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1)) % 209.18/209.56 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) ) % 209.18/209.56 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1)) % 209.18/209.56 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 209.18/209.56 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.56 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_card__Plus,axiom, % 209.18/209.56 ! [V_B_2,T_c,V_A_2,T_b] : % 209.18/209.56 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 209.18/209.56 => 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)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_norm__frac_Osimps,axiom, % 209.18/209.56 ! [V_a_2,V_ba_2] : % 209.18/209.56 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_ba_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.56 => 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)) ) % 209.18/209.56 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_ba_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.56 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.56 | V_ba_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 209.18/209.56 => 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)) ) % 209.18/209.56 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.56 | V_ba_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 209.18/209.56 => 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))) ) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_UNIV__Plus__UNIV,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_type__definition_ORep__range,axiom, % 209.18/209.56 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 209.18/209.56 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 209.18/209.56 => 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 ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_type__definition_OAbs__image,axiom, % 209.18/209.56 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 209.18/209.56 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 209.18/209.56 => 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)) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__le__dividend,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__le__mono,axiom, % 209.18/209.56 ! [V_k,V_n,V_m] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 209.18/209.56 => 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))) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__mult2__eq,axiom, % 209.18/209.56 ! [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) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__1,axiom, % 209.18/209.56 ! [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 ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__less,axiom, % 209.18/209.56 ! [V_n,V_m] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 209.18/209.56 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_nat__mult__div__cancel__disj,axiom, % 209.18/209.56 ! [V_n,V_m,V_k] : % 209.18/209.56 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.18/209.56 => 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) ) % 209.18/209.56 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.18/209.56 => 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) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zdiv__int,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__le__mono2,axiom, % 209.18/209.56 ! [V_k,V_n,V_m] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 209.18/209.56 => 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))) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__mult__self1__is__m,axiom, % 209.18/209.56 ! [V_m,V_n] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 209.18/209.56 => 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 ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__mult__self__is__m,axiom, % 209.18/209.56 ! [V_m,V_n] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 209.18/209.56 => 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 ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_nat__mult__div__cancel1,axiom, % 209.18/209.56 ! [V_n,V_m,V_k] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__less__dividend,axiom, % 209.18/209.56 ! [V_m,V_n] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 209.18/209.56 => 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)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__if,axiom, % 209.18/209.56 ! [V_m,V_n] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 209.18/209.56 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 209.18/209.56 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 209.18/209.56 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 209.18/209.56 => 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)) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__geq,axiom, % 209.18/209.56 ! [V_m,V_n] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 209.18/209.56 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 209.18/209.56 => 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)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_split__div,axiom, % 209.18/209.56 ! [V_k_2,V_n_2,V_Pa_2] : % 209.18/209.56 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n_2),V_k_2))) % 209.18/209.56 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.18/209.56 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 209.18/209.56 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.18/209.56 => ! [B_i,B_j] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2)) % 209.18/209.56 => ( 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) % 209.18/209.56 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom, % 209.18/209.56 ! [V_y,V_x] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 209.18/209.56 => 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)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_nat__div__distrib,axiom, % 209.18/209.56 ! [V_y,V_x] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 209.18/209.56 => 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)) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_type__definition_ORep__inverse,axiom, % 209.18/209.56 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 209.18/209.56 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 209.18/209.56 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_type__definition_ORep__inject,axiom, % 209.18/209.56 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 209.18/209.56 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 209.18/209.56 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2) % 209.18/209.56 <=> V_x_2 = V_y_2 ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_le__div__geq,axiom, % 209.18/209.56 ! [V_m,V_n] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 209.18/209.56 => 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)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_split__div__lemma,axiom, % 209.18/209.56 ! [V_m_2,V_q_2,V_n_2] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 209.18/209.56 => ( ( 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)) % 209.18/209.56 & 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)))) ) % 209.18/209.56 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_split__div_H,axiom, % 209.18/209.56 ! [V_n_2,V_m_2,V_Pa_2] : % 209.18/209.56 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2))) % 209.18/209.56 <=> ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.18/209.56 & hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 209.18/209.56 | ? [B_q] : % 209.18/209.56 ( 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)) % 209.18/209.56 & 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)))) % 209.18/209.56 & hBOOL(hAPP(V_Pa_2,B_q)) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_type__definition_ORep,axiom, % 209.18/209.56 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 209.18/209.56 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 209.18/209.56 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_type__definition_OAbs__inverse,axiom, % 209.18/209.56 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 209.18/209.56 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2)) % 209.18/209.56 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_type__definition_OAbs__inject,axiom, % 209.18/209.56 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 209.18/209.56 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2)) % 209.18/209.56 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2) % 209.18/209.56 <=> V_x_2 = V_y_2 ) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_Plus__eq__empty__conv,axiom, % 209.18/209.56 ! [V_B_2,V_A_2,T_c,T_b] : % 209.18/209.56 ( 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)) % 209.18/209.56 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.56 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_z3div__def,axiom, % 209.18/209.56 ! [V_k,V_l] : % 209.18/209.56 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 209.18/209.56 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) ) % 209.18/209.56 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 209.18/209.56 => 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))) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_norm__frac_Opsimps,axiom, % 209.18/209.56 ! [V_ba_2,V_a_2] : % 209.18/209.56 ( 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))) % 209.18/209.56 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_ba_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.56 => 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)) ) % 209.18/209.56 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_ba_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.56 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.56 | V_ba_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 209.18/209.56 => 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)) ) % 209.18/209.56 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.56 | V_ba_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 209.18/209.56 => 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))) ) ) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zmult2__lemma,axiom, % 209.18/209.56 ! [V_c,V_r,V_q,V_b,V_a] : % 209.18/209.56 ( 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))) % 209.18/209.56 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 209.18/209.56 => 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)))) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_divmod__nat__step,axiom, % 209.18/209.56 ! [V_m,V_n] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 209.18/209.56 => 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)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__add1__eq,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom, % 209.18/209.56 ! [V_y,V_x] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 209.18/209.56 => 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)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_nat__mod__distrib,axiom, % 209.18/209.56 ! [V_y,V_x] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 209.18/209.56 => 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)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zpower__zmod,axiom, % 209.18/209.56 ! [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) ). % 209.18/209.56 % 209.18/209.56 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom, % 209.18/209.56 ! [V_y,V_x] : % 209.18/209.56 ( c_Nat__Transfer_Ois__nat(V_x) % 209.18/209.56 => ( c_Nat__Transfer_Ois__nat(V_y) % 209.18/209.56 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__less__eq__dividend,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__less,axiom, % 209.18/209.56 ! [V_n,V_m] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 209.18/209.56 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zmod__int,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__diff__right__eq,axiom, % 209.18/209.56 ! [V_c,V_b,V_a,T_a] : % 209.18/209.56 ( class_Divides_Oring__div(T_a) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__diff__left__eq,axiom, % 209.18/209.56 ! [V_c,V_b,V_a,T_a] : % 209.18/209.56 ( class_Divides_Oring__div(T_a) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__diff__eq,axiom, % 209.18/209.56 ! [V_c,V_b,V_a,T_a] : % 209.18/209.56 ( class_Divides_Oring__div(T_a) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__diff__cong,axiom, % 209.18/209.56 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 209.18/209.56 ( class_Divides_Oring__div(T_a) % 209.18/209.56 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 209.18/209.56 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 209.18/209.56 => 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) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zdiff__zmod__right,axiom, % 209.18/209.56 ! [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) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zdiff__zmod__left,axiom, % 209.18/209.56 ! [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) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__mult__cong,axiom, % 209.18/209.56 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 209.18/209.56 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 209.18/209.56 => 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) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zmod__simps_I4_J,axiom, % 209.18/209.56 ! [V_b,V_c,V_a,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zmod__simps_I3_J,axiom, % 209.18/209.56 ! [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) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__mult__mult2,axiom, % 209.18/209.56 ! [V_b,V_c,V_a,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__mult__mult1,axiom, % 209.18/209.56 ! [V_b,V_a,V_c,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => 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)) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__mult__eq,axiom, % 209.18/209.56 ! [V_c,V_b,V_a,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__mult__left__eq,axiom, % 209.18/209.56 ! [V_c,V_b,V_a,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zmod__zmult1__eq,axiom, % 209.18/209.56 ! [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) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__mult__right__eq,axiom, % 209.18/209.56 ! [V_c,V_b,V_a,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__mult__distrib,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__mult__distrib2,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__add__cong,axiom, % 209.18/209.56 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 209.18/209.56 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 209.18/209.56 => 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) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zmod__simps_I1_J,axiom, % 209.18/209.56 ! [V_b,V_c,V_a,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zmod__simps_I2_J,axiom, % 209.18/209.56 ! [V_c,V_b,V_a,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__add__eq,axiom, % 209.18/209.56 ! [V_c,V_b,V_a,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__add__left__eq,axiom, % 209.18/209.56 ! [V_c,V_b,V_a,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__add__right__eq,axiom, % 209.18/209.56 ! [V_c,V_b,V_a,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__add__self1,axiom, % 209.18/209.56 ! [V_a,V_b,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__add__self2,axiom, % 209.18/209.56 ! [V_b,V_a,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__minus__cong,axiom, % 209.18/209.56 ! [V_a_H,V_b,V_a,T_a] : % 209.18/209.56 ( class_Divides_Oring__div(T_a) % 209.18/209.56 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b) % 209.18/209.56 => 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) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__minus__eq,axiom, % 209.18/209.56 ! [V_b,V_a,T_a] : % 209.18/209.56 ( class_Divides_Oring__div(T_a) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zmod__zminus2,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zmod__zminus__zminus,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zminus__zmod,axiom, % 209.18/209.56 ! [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) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zmod__self,axiom, % 209.18/209.56 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__self,axiom, % 209.18/209.56 ! [V_a,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__by__0,axiom, % 209.18/209.56 ! [V_a,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zmod__zero,axiom, % 209.18/209.56 ! [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) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__0,axiom, % 209.18/209.56 ! [V_a,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__mod__trivial,axiom, % 209.18/209.56 ! [V_b,V_a,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__Suc__eq__Suc__mod,axiom, % 209.18/209.56 ! [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) ). % 209.18/209.56 % 209.18/209.56 fof(fact_accp_Osimps,axiom, % 209.18/209.56 ! [V_a_2,V_r_2,T_b] : % 209.18/209.56 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) % 209.18/209.56 <=> ! [B_x] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2)) % 209.18/209.56 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_accp_Oequations,axiom, % 209.18/209.56 ! [V_a_2,V_r_2,T_b] : % 209.18/209.56 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) % 209.18/209.56 <=> ! [B_x] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2)) % 209.18/209.56 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_accp__downward,axiom, % 209.18/209.56 ! [V_a_2,V_ba_2,V_r_2,T_b] : % 209.18/209.56 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_ba_2)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_ba_2)) % 209.18/209.56 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_wfP__accp__iff,axiom, % 209.18/209.56 ! [V_r_2,T_b] : % 209.18/209.56 ( c_Wellfounded_OwfP(T_b,V_r_2) % 209.18/209.56 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x1)) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_accp__wfPD,axiom, % 209.18/209.56 ! [V_x_2,V_r_2,T_b] : % 209.18/209.56 ( c_Wellfounded_OwfP(T_b,V_r_2) % 209.18/209.56 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_x_2)) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__mult__self1__is__0,axiom, % 209.18/209.56 ! [V_a,V_b,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__mult__self2__is__0,axiom, % 209.18/209.56 ! [V_b,V_a,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__mult__self1,axiom, % 209.18/209.56 ! [V_b,V_c,V_a,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__mult__self2,axiom, % 209.18/209.56 ! [V_c,V_b,V_a,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__by__1,axiom, % 209.18/209.56 ! [V_a,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__div__trivial,axiom, % 209.18/209.56 ! [V_b,V_a,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__1,axiom, % 209.18/209.56 ! [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) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__Suc,axiom, % 209.18/209.56 ! [V_n,V_m] : % 209.18/209.56 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n % 209.18/209.56 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 209.18/209.56 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n % 209.18/209.56 => 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)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__less__divisor,axiom, % 209.18/209.56 ! [V_m,V_n] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 209.18/209.56 => 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)) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__eq__0__iff,axiom, % 209.18/209.56 ! [V_d_2,V_m_2] : % 209.18/209.56 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.18/209.56 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom, % 209.18/209.56 ! [V_y,V_x] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 209.18/209.56 => 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))) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zmod__le__nonneg__dividend,axiom, % 209.18/209.56 ! [V_k,V_m] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m)) % 209.18/209.56 => 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)) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_pos__mod__bound,axiom, % 209.18/209.56 ! [V_a,V_b] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 209.18/209.56 => 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)) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_neg__mod__bound,axiom, % 209.18/209.56 ! [V_a,V_b] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.56 => 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))) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__if,axiom, % 209.18/209.56 ! [V_n,V_m] : % 209.18/209.56 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 209.18/209.56 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) % 209.18/209.56 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 209.18/209.56 => 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) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__geq,axiom, % 209.18/209.56 ! [V_n,V_m] : % 209.18/209.56 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__mult__self3,axiom, % 209.18/209.56 ! [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) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__mult2__eq,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__mult1__eq,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_le__mod__geq,axiom, % 209.18/209.56 ! [V_m,V_n] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zmod__eq__0__iff,axiom, % 209.18/209.56 ! [V_d_2,V_m_2] : % 209.18/209.56 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.56 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__mod__equality_H,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mult__div__cancel,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_Divides_Omod__div__equality_H,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zmod__zminus1__not__zero,axiom, % 209.18/209.56 ! [V_l,V_k] : % 209.18/209.56 ( 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) % 209.18/209.56 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zmod__zminus2__not__zero,axiom, % 209.18/209.56 ! [V_l,V_k] : % 209.18/209.56 ( 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) % 209.18/209.56 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zmod__zdiv__trivial,axiom, % 209.18/209.56 ! [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) ). % 209.18/209.56 % 209.18/209.56 fof(fact_DIVISION__BY__ZERO,axiom, % 209.18/209.56 ! [V_a] : % 209.18/209.56 ( 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) % 209.18/209.56 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zdiv__zadd1__eq,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_divmod__nat__div__mod,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__mod__equality,axiom, % 209.18/209.56 ! [V_c,V_b,V_a,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__mod__equality2,axiom, % 209.18/209.56 ! [V_c,V_a,V_b,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__div__equality,axiom, % 209.18/209.56 ! [V_b,V_a,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => 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 ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__div__equality2,axiom, % 209.18/209.56 ! [V_a,V_b,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => 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 ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_semiring__div__class_Omod__div__equality_H,axiom, % 209.18/209.56 ! [V_b,V_a,T_a] : % 209.18/209.56 ( class_Divides_Osemiring__div(T_a) % 209.18/209.56 => 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 ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__le__divisor,axiom, % 209.18/209.56 ! [V_m,V_n] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 209.18/209.56 => 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)) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__mult__self4,axiom, % 209.18/209.56 ! [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) ). % 209.18/209.56 % 209.18/209.56 fof(fact_pos__mod__sign,axiom, % 209.18/209.56 ! [V_a,V_b] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 209.18/209.56 => 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))) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_pos__mod__conj,axiom, % 209.18/209.56 ! [V_a,V_b] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 209.18/209.56 => ( 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))) % 209.18/209.56 & 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)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__pos__pos__trivial,axiom, % 209.18/209.56 ! [V_b,V_a] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 209.18/209.56 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_neg__mod__sign,axiom, % 209.18/209.56 ! [V_a,V_b] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.56 => 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))) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_neg__mod__conj,axiom, % 209.18/209.56 ! [V_a,V_b] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.56 => ( 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))) % 209.18/209.56 & 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))) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__neg__neg__trivial,axiom, % 209.18/209.56 ! [V_b,V_a] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a)) % 209.18/209.56 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zmod__zminus1__eq__if,axiom, % 209.18/209.56 ! [V_b,V_a] : % 209.18/209.56 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.56 => 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) ) % 209.18/209.56 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.56 => 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)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zmod__zminus2__eq__if,axiom, % 209.18/209.56 ! [V_b,V_a] : % 209.18/209.56 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.56 => 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) ) % 209.18/209.56 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.56 => 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) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zdiv__zmod__equality2,axiom, % 209.18/209.56 ! [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) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zdiv__zmod__equality,axiom, % 209.18/209.56 ! [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) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zdiv__zmult1__eq,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zmod__zdiv__equality,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_accp__subset,axiom, % 209.18/209.56 ! [V_R2_2,V_R1_2,T_b] : % 209.18/209.56 ( 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)) % 209.18/209.56 => 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))) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zmod__zdiv__equality_H,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zmult__div__cancel,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_divmod__int__rel__mod,axiom, % 209.18/209.56 ! [V_r,V_q,V_b,V_a] : % 209.18/209.56 ( 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))) % 209.18/209.56 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.56 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_split__mod,axiom, % 209.18/209.56 ! [V_k_2,V_n_2,V_Pa_2] : % 209.18/209.56 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n_2,V_k_2))) % 209.18/209.56 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.18/209.56 => hBOOL(hAPP(V_Pa_2,V_n_2)) ) % 209.18/209.56 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.18/209.56 => ! [B_i,B_j] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2)) % 209.18/209.56 => ( 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) % 209.18/209.56 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__lemma,axiom, % 209.18/209.56 ! [V_q,V_b,V_r,V_c] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b)) % 209.18/209.56 => 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))) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__pos__neg__trivial,axiom, % 209.18/209.56 ! [V_b,V_a] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 209.18/209.56 => ( 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))) % 209.18/209.56 => 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) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_Suc__times__mod__eq,axiom, % 209.18/209.56 ! [V_m,V_k] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k)) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_divmod__int__rel__div__mod,axiom, % 209.18/209.56 ! [V_a,V_b] : % 209.18/209.56 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.56 => 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)))) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_split__zmod,axiom, % 209.18/209.56 ! [V_k_2,V_n_2,V_Pa_2] : % 209.18/209.56 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2))) % 209.18/209.56 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.56 => hBOOL(hAPP(V_Pa_2,V_n_2)) ) % 209.18/209.56 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 209.18/209.56 => ! [B_i,B_j] : % 209.18/209.56 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 209.18/209.56 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 209.18/209.56 & 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) ) % 209.18/209.56 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) % 209.18/209.56 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.56 => ! [B_i,B_j] : % 209.18/209.56 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 209.18/209.56 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.56 & 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) ) % 209.18/209.56 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zmult2__lemma__aux3,axiom, % 209.18/209.56 ! [V_q,V_b,V_r,V_c] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 209.18/209.56 => 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))) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zmult2__lemma__aux4,axiom, % 209.18/209.56 ! [V_q,V_b,V_r,V_c] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 209.18/209.56 => 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))) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zmult2__lemma__aux1,axiom, % 209.18/209.56 ! [V_q,V_r,V_b,V_c] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.56 => 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))) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zmult2__lemma__aux2,axiom, % 209.18/209.56 ! [V_q,V_r,V_b,V_c] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.56 => 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))) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_divmod__int__rel__mod__eq,axiom, % 209.18/209.56 ! [V_y,V_q_1,V_b_1,V_a_1] : % 209.18/209.56 ( 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) % 209.18/209.56 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 209.18/209.56 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) ) % 209.18/209.56 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y)) % 209.18/209.56 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 209.18/209.56 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.56 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zmod__zmult2__eq,axiom, % 209.18/209.56 ! [V_b,V_a,V_c] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 209.18/209.56 => 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)) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zdiv__zminus1__eq__if,axiom, % 209.18/209.56 ! [V_a,V_b] : % 209.18/209.56 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.56 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.56 => 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)) ) % 209.18/209.56 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.56 => 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)) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zdiv__zminus2__eq__if,axiom, % 209.18/209.56 ! [V_a,V_b] : % 209.18/209.56 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.56 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.56 => 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)) ) % 209.18/209.56 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.56 => 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)) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zadd1__lemma,axiom, % 209.18/209.56 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] : % 209.18/209.56 ( 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))) % 209.18/209.56 => ( 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))) % 209.18/209.56 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.56 => 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)))) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_split__pos__lemma,axiom, % 209.18/209.56 ! [V_n_2,V_Pa_2,V_k_2] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 209.18/209.56 => ( 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))) % 209.18/209.56 <=> ! [B_i,B_j] : % 209.18/209.56 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 209.18/209.56 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 209.18/209.56 & 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) ) % 209.18/209.56 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_split__neg__lemma,axiom, % 209.18/209.56 ! [V_n_2,V_Pa_2,V_k_2] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.56 => ( 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))) % 209.18/209.56 <=> ! [B_i,B_j] : % 209.18/209.56 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 209.18/209.56 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.56 & 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) ) % 209.18/209.56 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_zmult1__lemma,axiom, % 209.18/209.56 ! [V_a,V_r,V_q,V_c,V_b] : % 209.18/209.56 ( 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))) % 209.18/209.56 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.56 => 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)))) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_z3mod__def,axiom, % 209.18/209.56 ! [V_k,V_l] : % 209.18/209.56 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 209.18/209.56 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) ) % 209.18/209.56 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 209.18/209.56 => 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)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_divmod__nat__rel__mult2__eq,axiom, % 209.18/209.56 ! [V_c,V_r,V_q,V_b,V_a] : % 209.18/209.56 ( 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))) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 209.18/209.56 => 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)))) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_divmod__nat__rel__mult1__eq,axiom, % 209.18/209.56 ! [V_a,V_r,V_q,V_c,V_b] : % 209.18/209.56 ( 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))) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 209.18/209.56 => 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)))) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_divmod__nat__rel__add1__eq,axiom, % 209.18/209.56 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] : % 209.18/209.56 ( 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))) % 209.18/209.56 => ( 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))) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 209.18/209.56 => 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)))) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_divmod__nat__rel__unique,axiom, % 209.18/209.56 ! [V_qr_H,V_qr,V_n,V_m] : % 209.18/209.56 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr)) % 209.18/209.56 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H)) % 209.18/209.56 => V_qr = V_qr_H ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_divmod__nat__eq,axiom, % 209.18/209.56 ! [V_qr,V_n,V_m] : % 209.18/209.56 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr)) % 209.18/209.56 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_divmod__nat__rel__divmod__nat,axiom, % 209.18/209.56 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ). % 209.18/209.56 % 209.18/209.56 fof(fact_divmod__nat__def,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__eq,axiom, % 209.18/209.56 ! [V_r,V_q,V_n,V_m] : % 209.18/209.56 ( 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))) % 209.18/209.56 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__eq,axiom, % 209.18/209.56 ! [V_r,V_q,V_n,V_m] : % 209.18/209.56 ( 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))) % 209.18/209.56 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_divmod__nat__rel,axiom, % 209.18/209.56 ! [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)))) ). % 209.18/209.56 % 209.18/209.56 fof(fact_norm__frac_Opinduct,axiom, % 209.18/209.56 ! [V_Pa_2,V_a1_2,V_a0_2] : % 209.18/209.56 ( 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))) % 209.18/209.56 => ( ! [B_a,B_b] : % 209.18/209.56 ( 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))) % 209.18/209.56 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.56 => 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))) ) % 209.18/209.56 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) % 209.18/209.56 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_negDivAlg__div__mod,axiom, % 209.18/209.56 ! [V_l,V_k] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 209.18/209.56 => 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)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_posDivAlg__div__mod,axiom, % 209.18/209.56 ! [V_l,V_k] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 209.18/209.56 => 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)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_divmod__int__mod__div,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_posDivAlg__0,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_negDivAlg__correct,axiom, % 209.18/209.56 ! [V_b,V_a] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 209.18/209.56 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_divmod__int__correct,axiom, % 209.18/209.56 ! [V_a,V_b] : % 209.18/209.56 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.56 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_posDivAlg__correct,axiom, % 209.18/209.56 ! [V_b,V_a] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 209.18/209.56 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_divmod__int__def,axiom, % 209.18/209.56 ! [V_b,V_a] : % 209.18/209.56 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 209.18/209.56 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 209.18/209.56 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) ) % 209.18/209.56 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 209.18/209.56 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.56 => 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)) ) % 209.18/209.56 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.56 => 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))) ) ) ) ) ) % 209.18/209.56 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 209.18/209.56 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 209.18/209.56 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) ) % 209.18/209.56 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 209.18/209.56 => 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))) ) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_com_Osize_I12_J,axiom, % 209.18/209.56 ! [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))) ). % 209.18/209.56 % 209.18/209.56 fof(fact_com_Osize_I13_J,axiom, % 209.18/209.56 ! [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))) ). % 209.18/209.56 % 209.18/209.56 fof(fact_setprod__gen__delta,axiom, % 209.18/209.56 ! [V_ca_2,V_ba_2,V_a_2,V_S_2,T_b,T_c] : % 209.18/209.56 ( class_Groups_Ocomm__monoid__mult(T_c) % 209.18/209.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 209.18/209.56 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 209.18/209.56 => 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)))) ) % 209.18/209.56 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 209.18/209.56 => 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)) ) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_setprod__timesf,axiom, % 209.18/209.56 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 209.18/209.56 ( class_Groups_Ocomm__monoid__mult(T_b) % 209.18/209.56 => 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)) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_of__int__setprod,axiom, % 209.18/209.56 ! [V_A_2,V_f_2,T_c,T_b] : % 209.18/209.56 ( ( class_Groups_Ocomm__monoid__mult(T_b) % 209.18/209.56 & class_Rings_Oring__1(T_b) ) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_of__nat__setprod,axiom, % 209.18/209.56 ! [V_A_2,V_f_2,T_c,T_b] : % 209.18/209.56 ( ( class_Groups_Ocomm__monoid__mult(T_b) % 209.18/209.56 & class_Rings_Osemiring__1(T_b) ) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_int__setprod,axiom, % 209.18/209.56 ! [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) ). % 209.18/209.56 % 209.18/209.56 fof(fact_setprod__cartesian__product,axiom, % 209.18/209.56 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 209.18/209.56 ( class_Groups_Ocomm__monoid__mult(T_b) % 209.18/209.56 => 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))) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_setprod__1,axiom, % 209.18/209.56 ! [V_A_2,T_c,T_b] : % 209.18/209.56 ( class_Groups_Ocomm__monoid__mult(T_b) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom, % 209.18/209.56 ! [V_A_2,V_f_2,T_b] : % 209.18/209.56 ( ( class_Groups_Ocomm__monoid__add(T_b) % 209.18/209.56 & class_Groups_Ocomm__monoid__mult(T_b) ) % 209.18/209.56 => 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)) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_setprod__zero__iff,axiom, % 209.18/209.56 ! [V_f_2,V_A_2,T_b,T_c] : % 209.18/209.56 ( ( class_Rings_Ocomm__semiring__1(T_c) % 209.18/209.56 & class_Rings_Ono__zero__divisors(T_c) ) % 209.18/209.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.56 => ( 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) % 209.18/209.56 <=> ? [B_x] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 209.18/209.56 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_setprod__zero,axiom, % 209.18/209.56 ! [V_f_2,V_A_2,T_b,T_c] : % 209.18/209.56 ( class_Rings_Ocomm__semiring__1(T_c) % 209.18/209.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.56 => ( ? [B_x] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 209.18/209.56 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 209.18/209.56 => 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) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_setprod_Oempty,axiom, % 209.18/209.56 ! [V_g_2,T_c,T_b] : % 209.18/209.56 ( class_Groups_Ocomm__monoid__mult(T_b) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_setprod__empty,axiom, % 209.18/209.56 ! [V_f_2,T_c,T_b] : % 209.18/209.56 ( class_Groups_Ocomm__monoid__mult(T_b) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_setprod_Oinfinite,axiom, % 209.18/209.56 ! [V_g_2,V_A_2,T_b,T_c] : % 209.18/209.56 ( class_Groups_Ocomm__monoid__mult(T_c) % 209.18/209.56 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.56 => 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) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_setprod__infinite,axiom, % 209.18/209.56 ! [V_f_2,V_A_2,T_b,T_c] : % 209.18/209.56 ( class_Groups_Ocomm__monoid__mult(T_c) % 209.18/209.56 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.56 => 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) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_setprod__eq__1__iff,axiom, % 209.18/209.56 ! [V_f_2,V_F_2,T_b] : % 209.18/209.56 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 209.18/209.56 => ( 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) % 209.18/209.56 <=> ! [B_x] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2)) % 209.18/209.56 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom, % 209.18/209.56 ! [V_f_2,V_A_2,T_b] : % 209.18/209.56 ( ( class_Groups_Ocomm__monoid__add(T_b) % 209.18/209.56 & class_Groups_Ocomm__monoid__mult(T_b) ) % 209.18/209.56 => ( c_Nat__Transfer_Onat__set(V_A_2) % 209.18/209.56 => 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)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_setprod_Odistrib,axiom, % 209.18/209.56 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 209.18/209.56 ( class_Groups_Ocomm__monoid__mult(T_c) % 209.18/209.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.56 => 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)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_setprod__pos__nat__iff,axiom, % 209.18/209.56 ! [V_f_2,V_S_2,T_b] : % 209.18/209.56 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 209.18/209.56 => ( 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))) % 209.18/209.56 <=> ! [B_x] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 209.18/209.56 => 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))) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_setprod__reindex,axiom, % 209.18/209.56 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] : % 209.18/209.56 ( class_Groups_Ocomm__monoid__mult(T_d) % 209.18/209.56 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 209.18/209.56 => 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) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_setprod__reindex__cong,axiom, % 209.18/209.56 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] : % 209.18/209.56 ( class_Groups_Ocomm__monoid__mult(T_d) % 209.18/209.56 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 209.18/209.56 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) % 209.18/209.56 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2) % 209.18/209.56 => 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) ) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_setprod__reindex__id,axiom, % 209.18/209.56 ! [V_B_2,V_f_2,T_b,T_c] : % 209.18/209.56 ( class_Groups_Ocomm__monoid__mult(T_c) % 209.18/209.56 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 209.18/209.56 => 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)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_setprod__delta,axiom, % 209.18/209.56 ! [V_ba_2,V_a_2,V_S_2,T_b,T_c] : % 209.18/209.56 ( class_Groups_Ocomm__monoid__mult(T_c) % 209.18/209.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 209.18/209.56 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 209.18/209.56 => 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) ) % 209.18/209.56 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 209.18/209.56 => 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) ) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_setprod__delta_H,axiom, % 209.18/209.56 ! [V_ba_2,V_a_2,V_S_2,T_b,T_c] : % 209.18/209.56 ( class_Groups_Ocomm__monoid__mult(T_c) % 209.18/209.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 209.18/209.56 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 209.18/209.56 => 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) ) % 209.18/209.56 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 209.18/209.56 => 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) ) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_setprod__constant,axiom, % 209.18/209.56 ! [V_y_2,V_A_2,T_b,T_c] : % 209.18/209.56 ( class_Groups_Ocomm__monoid__mult(T_c) % 209.18/209.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.56 => 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)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_setprod__insert,axiom, % 209.18/209.56 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 209.18/209.56 ( class_Groups_Ocomm__monoid__mult(T_c) % 209.18/209.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.56 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 209.18/209.56 => 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)) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_setprod_Oinsert,axiom, % 209.18/209.56 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 209.18/209.56 ( class_Groups_Ocomm__monoid__mult(T_c) % 209.18/209.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.56 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 209.18/209.56 => 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)) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_setprod__Un__Int,axiom, % 209.18/209.56 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 209.18/209.56 ( class_Groups_Ocomm__monoid__mult(T_c) % 209.18/209.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 209.18/209.56 => 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)) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_setprod_Ounion__inter,axiom, % 209.18/209.56 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 209.18/209.56 ( class_Groups_Ocomm__monoid__mult(T_c) % 209.18/209.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 209.18/209.56 => 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)) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_com_Osize_I10_J,axiom, % 209.18/209.56 ! [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) ). % 209.18/209.56 % 209.18/209.56 fof(fact_com_Osize_I9_J,axiom, % 209.18/209.56 hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 209.18/209.56 % 209.18/209.56 fof(fact_setprod_Oreindex,axiom, % 209.18/209.56 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] : % 209.18/209.56 ( class_Groups_Ocomm__monoid__mult(T_c) % 209.18/209.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.56 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2) % 209.18/209.56 => 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) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_setprod_Oeq__fold,axiom, % 209.18/209.56 ! [V_g_2,V_A_2,T_b,T_c] : % 209.18/209.56 ( class_Groups_Ocomm__monoid__mult(T_c) % 209.18/209.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.56 => 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) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_setprod_OF__eq,axiom, % 209.18/209.56 ! [V_g_2,V_A_2,T_b,T_c] : % 209.18/209.56 ( class_Groups_Ocomm__monoid__mult(T_c) % 209.18/209.56 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.56 => 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) ) % 209.18/209.56 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.56 => 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) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_negateSnd__eq,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_divmod__int__rel__neg,axiom, % 209.18/209.56 ! [V_qr,V_b,V_a] : % 209.18/209.56 ( 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)) % 209.18/209.56 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_setprod_Oinsert__remove,axiom, % 209.18/209.56 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] : % 209.18/209.56 ( class_Groups_Ocomm__monoid__mult(T_c) % 209.18/209.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.56 => 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)))))) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_setprod__Un__disjoint,axiom, % 209.18/209.56 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 209.18/209.56 ( class_Groups_Ocomm__monoid__mult(T_c) % 209.18/209.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 209.18/209.56 => ( 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)) % 209.18/209.56 => 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)) ) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_setprod_Ounion__disjoint,axiom, % 209.18/209.56 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 209.18/209.56 ( class_Groups_Ocomm__monoid__mult(T_c) % 209.18/209.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 209.18/209.56 => ( 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)) % 209.18/209.56 => 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)) ) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_setprod_Oremove,axiom, % 209.18/209.56 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 209.18/209.56 ( class_Groups_Ocomm__monoid__mult(T_c) % 209.18/209.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 209.18/209.56 => 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)))))) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_com_Osize_I14_J,axiom, % 209.18/209.56 ! [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))) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__neg__neg,axiom, % 209.18/209.56 ! [V_b,V_a] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.56 => 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)))) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__neg__neg,axiom, % 209.18/209.56 ! [V_b,V_a] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.56 => 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)))) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_setprod__Un__one,axiom, % 209.18/209.56 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 209.18/209.56 ( class_Groups_Ocomm__monoid__mult(T_c) % 209.18/209.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 209.18/209.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 209.18/209.56 => ( ! [B_x] : % 209.18/209.56 ( 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))) % 209.18/209.56 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 209.18/209.56 => 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)) ) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_setprod_Ounion__inter__neutral,axiom, % 209.18/209.56 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 209.18/209.56 ( class_Groups_Ocomm__monoid__mult(T_c) % 209.18/209.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 209.18/209.56 => ( ! [B_x] : % 209.18/209.56 ( 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))) % 209.18/209.56 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 209.18/209.56 => 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)) ) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_snd__eqD,axiom, % 209.18/209.56 ! [V_a,V_y,V_x,T_a,T_b] : % 209.18/209.56 ( 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 % 209.18/209.56 => V_y = V_a ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_snd__conv,axiom, % 209.18/209.56 ! [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 ). % 209.18/209.56 % 209.18/209.56 fof(fact_fst__eqD,axiom, % 209.18/209.56 ! [V_a,V_y,V_x,T_b,T_a] : % 209.18/209.56 ( 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 % 209.18/209.56 => V_x = V_a ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_fst__conv,axiom, % 209.18/209.56 ! [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 ). % 209.18/209.56 % 209.18/209.56 fof(fact_surjective__pairing,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_pair__collapse,axiom, % 209.18/209.56 ! [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 ). % 209.18/209.56 % 209.18/209.56 fof(fact_split__comp__eq,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_prod__case__beta,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_split__beta,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_split__def,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_split__comp,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_Pair__fst__snd__eq,axiom, % 209.18/209.56 ! [T_c,T_b,V_t_2,V_s_2] : % 209.18/209.56 ( V_s_2 = V_t_2 % 209.18/209.56 <=> ( hAPP(c_Product__Type_Ofst(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Ofst(T_b,T_c),V_t_2) % 209.18/209.56 & hAPP(c_Product__Type_Osnd(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Osnd(T_b,T_c),V_t_2) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_prod__eqI,axiom, % 209.18/209.56 ! [V_q,V_p,T_b,T_a] : % 209.18/209.56 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q) % 209.18/209.56 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q) % 209.18/209.56 => V_p = V_q ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_The__split,axiom, % 209.18/209.56 ! [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))) ). % 209.18/209.56 % 209.18/209.56 fof(fact_fst__def,axiom, % 209.18/209.56 ! [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) ). % 209.18/209.56 % 209.18/209.56 fof(fact_snd__def,axiom, % 209.18/209.56 ! [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) ). % 209.18/209.56 % 209.18/209.56 fof(fact_vimage__Times,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_fst__eq__Domain,axiom, % 209.18/209.56 ! [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) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__int__def,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__int__def,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_snd__eq__Range,axiom, % 209.18/209.56 ! [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) ). % 209.18/209.56 % 209.18/209.56 fof(fact_fst__image__times,axiom, % 209.18/209.56 ! [V_A_2,T_c,T_b,V_B_2] : % 209.18/209.56 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.56 => 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)) ) % 209.18/209.56 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.56 => 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 ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_snd__image__times,axiom, % 209.18/209.56 ! [V_B_2,T_c,T_b,V_A_2] : % 209.18/209.56 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.56 => 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)) ) % 209.18/209.56 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.56 => 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 ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__neg__pos,axiom, % 209.18/209.56 ! [V_b,V_a] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 209.18/209.56 => 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)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__neg__pos,axiom, % 209.18/209.56 ! [V_b,V_a] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 209.18/209.56 => 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)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__pos__pos,axiom, % 209.18/209.56 ! [V_b,V_a] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 209.18/209.56 => 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)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__pos__pos,axiom, % 209.18/209.56 ! [V_b,V_a] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 209.18/209.56 => 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)) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__pos__neg,axiom, % 209.18/209.56 ! [V_b,V_a] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.56 => 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)))) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__pos__neg,axiom, % 209.18/209.56 ! [V_b,V_a] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 209.18/209.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.56 => 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)))) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_prod__size__simp,axiom, % 209.18/209.56 ! [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))) ). % 209.18/209.56 % 209.18/209.56 fof(fact_exI__realizer,axiom, % 209.18/209.56 ! [T_b,T_c,V_x_2,V_y_2,V_Pa_2] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(V_Pa_2,V_y_2),V_x_2)) % 209.18/209.56 => 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)))) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_conjI__realizer,axiom, % 209.18/209.56 ! [T_c,T_b,V_q_2,V_Q_2,V_p_2,V_Pa_2] : % 209.18/209.56 ( hBOOL(hAPP(V_Pa_2,V_p_2)) % 209.18/209.56 => ( hBOOL(hAPP(V_Q_2,V_q_2)) % 209.18/209.56 => ( 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)))) % 209.18/209.56 & 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)))) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom, % 209.18/209.56 ! [V_f_2,V_A_2,T_b] : % 209.18/209.56 ( ! [B_x] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 209.18/209.56 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) ) % 209.18/209.56 => 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)) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_reduction__pair__def,axiom, % 209.18/209.56 ! [V_Pa_2,T_b] : % 209.18/209.56 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2) % 209.18/209.56 <=> ( 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)) % 209.18/209.56 & 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))) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_reduction__pair__lemma,axiom, % 209.18/209.56 ! [V_S_2,V_R_2,V_Pa_2,T_b] : % 209.18/209.56 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2) % 209.18/209.56 => ( 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))) % 209.18/209.56 => ( 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))) % 209.18/209.56 => ( c_Wellfounded_Owf(T_b,V_S_2) % 209.18/209.56 => 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)) ) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__nat__def,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__nat__def,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_divmod__nat__rel__def,axiom, % 209.18/209.56 ! [V_qr_2,V_n_2,V_m_2] : % 209.18/209.56 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_n_2),V_qr_2)) % 209.18/209.56 <=> ( 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)) % 209.18/209.56 & ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.18/209.56 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 209.18/209.56 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.18/209.56 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 209.18/209.56 => ( 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))) % 209.18/209.56 & 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)) ) ) % 209.18/209.56 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) % 209.18/209.56 => ( 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))) % 209.18/209.56 & 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))) ) ) ) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__pos__neg__1__number__of,axiom, % 209.18/209.56 ! [V_w] : % 209.18/209.56 ( 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))) % 209.18/209.56 => 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))))) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_mod__pos__neg__1__number__of,axiom, % 209.18/209.56 ! [V_w] : % 209.18/209.56 ( 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))) % 209.18/209.56 => 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))))) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_setprod__Sigma,axiom, % 209.18/209.56 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 209.18/209.56 ( class_Groups_Ocomm__monoid__mult(T_d) % 209.18/209.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.56 => ( ! [B_x] : % 209.18/209.56 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 209.18/209.56 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 209.18/209.56 => 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)) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_div__pos__pos__1__number__of,axiom, % 209.18/209.56 ! [V_w] : % 209.18/209.56 ( 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))) % 209.18/209.56 => 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))) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_less__eq__number__of__int__code,axiom, % 209.18/209.56 ! [V_l_2,V_k_2] : % 209.18/209.56 ( 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))) % 209.18/209.56 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_less__number__of__int__code,axiom, % 209.18/209.56 ! [V_l_2,V_k_2] : % 209.18/209.56 ( 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))) % 209.18/209.56 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_of__nat__number__of__lemma,axiom, % 209.18/209.56 ! [V_v,T_a] : % 209.18/209.56 ( class_Int_Onumber__ring(T_a) % 209.18/209.56 => ( ( 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))) % 209.18/209.56 => 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) ) % 209.18/209.56 & ( ~ 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))) % 209.18/209.56 => 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) ) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_minus__numeral__code_I5_J,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_number__of__is__id,axiom, % 209.18/209.56 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ). % 209.18/209.56 % 209.18/209.56 fof(fact_number__of__reorient,axiom, % 209.18/209.56 ! [V_x_2,V_w_2,T_b] : % 209.18/209.56 ( class_Int_Onumber(T_b) % 209.18/209.56 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = V_x_2 % 209.18/209.56 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_eq__number__of,axiom, % 209.18/209.56 ! [V_y_2,V_x_2,T_b] : % 209.18/209.56 ( ( class_Int_Onumber__ring(T_b) % 209.18/209.56 & class_Int_Oring__char__0(T_b) ) % 209.18/209.56 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 209.18/209.56 <=> V_x_2 = V_y_2 ) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_times__numeral__code_I5_J,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_plus__numeral__code_I9_J,axiom, % 209.18/209.56 ! [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)) ). % 209.18/209.56 % 209.18/209.56 fof(fact_number__of__eq,axiom, % 209.18/209.56 ! [V_k,T_a] : % 209.18/209.56 ( class_Int_Onumber__ring(T_a) % 209.18/209.56 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_of__int__number__of__eq,axiom, % 209.18/209.56 ! [V_v,T_a] : % 209.18/209.56 ( class_Int_Onumber__ring(T_a) % 209.18/209.56 => 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) ) ). % 209.18/209.56 % 209.18/209.56 fof(fact_int__number__of__def,axiom, % 209.18/209.56 ! [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) ). % 209.18/209.57 % 209.18/209.57 fof(fact_le__number__of__eq__not__less,axiom, % 209.18/209.57 ! [V_w_2,V_v_2,T_b] : % 209.18/209.57 ( ( class_Int_Onumber(T_b) % 209.18/209.57 & class_Orderings_Olinorder(T_b) ) % 209.18/209.57 => ( 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))) % 209.18/209.57 <=> ~ 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))) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_left__distrib__number__of,axiom, % 209.18/209.57 ! [V_v,V_b,V_a,T_b] : % 209.18/209.57 ( ( class_Int_Onumber(T_b) % 209.18/209.57 & class_Rings_Osemiring(T_b) ) % 209.18/209.57 => 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))) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_right__distrib__number__of,axiom, % 209.18/209.57 ! [V_c,V_b,V_v,T_b] : % 209.18/209.57 ( ( class_Int_Onumber(T_b) % 209.18/209.57 & class_Rings_Osemiring(T_b) ) % 209.18/209.57 => 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)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_right__diff__distrib__number__of,axiom, % 209.18/209.57 ! [V_c,V_b,V_v,T_b] : % 209.18/209.57 ( ( class_Int_Onumber(T_b) % 209.18/209.57 & class_Rings_Oring(T_b) ) % 209.18/209.57 => 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)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_left__diff__distrib__number__of,axiom, % 209.18/209.57 ! [V_v,V_b,V_a,T_b] : % 209.18/209.57 ( ( class_Int_Onumber(T_b) % 209.18/209.57 & class_Rings_Oring(T_b) ) % 209.18/209.57 => 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))) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_le__number__of,axiom, % 209.18/209.57 ! [V_y_2,V_x_2,T_b] : % 209.18/209.57 ( ( class_Int_Onumber__ring(T_b) % 209.18/209.57 & class_Rings_Olinordered__idom(T_b) ) % 209.18/209.57 => ( 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))) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_less__number__of,axiom, % 209.18/209.57 ! [V_y_2,V_x_2,T_b] : % 209.18/209.57 ( ( class_Int_Onumber__ring(T_b) % 209.18/209.57 & class_Rings_Olinordered__idom(T_b) ) % 209.18/209.57 => ( 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))) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_min__number__of,axiom, % 209.18/209.57 ! [V_v,V_u,T_b] : % 209.18/209.57 ( ( class_Int_Onumber(T_b) % 209.18/209.57 & class_Orderings_Oord(T_b) ) % 209.18/209.57 => ( ( 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))) % 209.18/209.57 => 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) ) % 209.18/209.57 & ( ~ 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))) % 209.18/209.57 => 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) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_max__number__of,axiom, % 209.18/209.57 ! [V_v,V_u,T_b] : % 209.18/209.57 ( ( class_Int_Onumber(T_b) % 209.18/209.57 & class_Orderings_Oord(T_b) ) % 209.18/209.57 => ( ( 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))) % 209.18/209.57 => 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) ) % 209.18/209.57 & ( ~ 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))) % 209.18/209.57 => 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) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_number__of__add,axiom, % 209.18/209.57 ! [V_w,V_v,T_a] : % 209.18/209.57 ( class_Int_Onumber__ring(T_a) % 209.18/209.57 => 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)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_add__number__of__eq,axiom, % 209.18/209.57 ! [V_w,V_v,T_a] : % 209.18/209.57 ( class_Int_Onumber__ring(T_a) % 209.18/209.57 => 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)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_add__number__of__left,axiom, % 209.18/209.57 ! [V_z,V_w,V_v,T_a] : % 209.18/209.57 ( class_Int_Onumber__ring(T_a) % 209.18/209.57 => 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) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_number__of__mult,axiom, % 209.18/209.57 ! [V_w,V_v,T_a] : % 209.18/209.57 ( class_Int_Onumber__ring(T_a) % 209.18/209.57 => 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)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_arith__simps_I32_J,axiom, % 209.18/209.57 ! [V_w,V_v,T_a] : % 209.18/209.57 ( class_Int_Onumber__ring(T_a) % 209.18/209.57 => 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)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_mult__number__of__left,axiom, % 209.18/209.57 ! [V_z,V_w,V_v,T_a] : % 209.18/209.57 ( class_Int_Onumber__ring(T_a) % 209.18/209.57 => 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) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_number__of__diff,axiom, % 209.18/209.57 ! [V_w,V_v,T_a] : % 209.18/209.57 ( class_Int_Onumber__ring(T_a) % 209.18/209.57 => 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)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_number__of__minus,axiom, % 209.18/209.57 ! [V_w,T_a] : % 209.18/209.57 ( class_Int_Onumber__ring(T_a) % 209.18/209.57 => 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)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_arith__simps_I30_J,axiom, % 209.18/209.57 ! [V_w,T_a] : % 209.18/209.57 ( class_Int_Onumber__ring(T_a) % 209.18/209.57 => 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)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_Ints__number__of,axiom, % 209.18/209.57 ! [V_w_2,T_b] : % 209.18/209.57 ( class_Int_Onumber__ring(T_b) % 209.18/209.57 => 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))) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_add__number__of__diff1,axiom, % 209.18/209.57 ! [V_c,V_w,V_v,T_a] : % 209.18/209.57 ( class_Int_Onumber__ring(T_a) % 209.18/209.57 => 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) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_minus__number__of__mult,axiom, % 209.18/209.57 ! [V_z,V_w,T_a] : % 209.18/209.57 ( class_Int_Onumber__ring(T_a) % 209.18/209.57 => 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) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_diff__number__of__eq,axiom, % 209.18/209.57 ! [V_w,V_v,T_a] : % 209.18/209.57 ( class_Int_Onumber__ring(T_a) % 209.18/209.57 => 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))) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_minus__numeral__code_I6_J,axiom, % 209.18/209.57 ! [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))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_add__number__of__diff2,axiom, % 209.18/209.57 ! [V_w,V_c,V_v,T_a] : % 209.18/209.57 ( class_Int_Onumber__ring(T_a) % 209.18/209.57 => 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) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_int__eq__iff__number__of,axiom, % 209.18/209.57 ! [V_v_2,V_m_2] : % 209.18/209.57 ( 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) % 209.18/209.57 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)) % 209.18/209.57 & 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))) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_mod__pos__pos__1__number__of,axiom, % 209.18/209.57 ! [V_w] : % 209.18/209.57 ( 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))) % 209.18/209.57 => 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))) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_one__div__nat__number__of,axiom, % 209.18/209.57 ! [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))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_power__number__of__odd__number__of,axiom, % 209.18/209.57 ! [V_v_2,V_w_2,T_b] : % 209.18/209.57 ( class_Int_Onumber__ring(T_b) % 209.18/209.57 => ( ( 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))) % 209.18/209.57 => 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))) ) % 209.18/209.57 & ( ~ 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))) % 209.18/209.57 => 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) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_setprod__diff1,axiom, % 209.18/209.57 ! [V_a_2,V_f_2,V_A_2,T_b,T_c] : % 209.18/209.57 ( class_Fields_Ofield(T_c) % 209.18/209.57 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.57 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_c) % 209.18/209.57 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 209.18/209.57 => 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)) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 209.18/209.57 => 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) ) ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_setsum__nonneg__leq__bound,axiom, % 209.18/209.57 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_b,T_c] : % 209.18/209.57 ( class_Groups_Oordered__ab__group__add(T_c) % 209.18/209.57 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 209.18/209.57 => ( ! [B_i] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2)) % 209.18/209.57 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) ) % 209.18/209.57 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = V_B_2 % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2)) % 209.18/209.57 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_minus__divide__left,axiom, % 209.18/209.57 ! [V_b,V_a,T_a] : % 209.18/209.57 ( class_Rings_Odivision__ring(T_a) % 209.18/209.57 => 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) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_divide__1,axiom, % 209.18/209.57 ! [V_a,T_a] : % 209.18/209.57 ( class_Rings_Odivision__ring(T_a) % 209.18/209.57 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_diff__divide__distrib,axiom, % 209.18/209.57 ! [V_c,V_b,V_a,T_a] : % 209.18/209.57 ( class_Rings_Odivision__ring(T_a) % 209.18/209.57 => 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)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_times__divide__eq__right,axiom, % 209.18/209.57 ! [V_c,V_b,V_a,T_a] : % 209.18/209.57 ( class_Rings_Odivision__ring(T_a) % 209.18/209.57 => 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) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_add__divide__distrib,axiom, % 209.18/209.57 ! [V_c,V_b,V_a,T_a] : % 209.18/209.57 ( class_Rings_Odivision__ring(T_a) % 209.18/209.57 => 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)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_divide__zero,axiom, % 209.18/209.57 ! [V_a,T_a] : % 209.18/209.57 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 209.18/209.57 => 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) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_divide__zero__left,axiom, % 209.18/209.57 ! [V_a,T_a] : % 209.18/209.57 ( class_Rings_Odivision__ring(T_a) % 209.18/209.57 => 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) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I51_J,axiom, % 209.18/209.57 ! [V_l_2,V_k_2] : % 209.18/209.57 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2) % 209.18/209.57 <=> V_k_2 = V_l_2 ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I17_J,axiom, % 209.18/209.57 ! [V_l_2,V_k_2] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2))) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_less__int__code_I16_J,axiom, % 209.18/209.57 ! [V_k2_2,V_k1_2] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2))) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_less__eq__int__code_I16_J,axiom, % 209.18/209.57 ! [V_k2_2,V_k1_2] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2))) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I34_J,axiom, % 209.18/209.57 ! [V_l_2,V_k_2] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2))) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_power__divide,axiom, % 209.18/209.57 ! [V_n,V_b,V_a,T_a] : % 209.18/209.57 ( class_Fields_Ofield__inverse__zero(T_a) % 209.18/209.57 => 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)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_setsum__divide__distrib,axiom, % 209.18/209.57 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] : % 209.18/209.57 ( class_Fields_Ofield(T_b) % 209.18/209.57 => 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) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_eq__divide__imp,axiom, % 209.18/209.57 ! [V_b,V_a,V_c,T_a] : % 209.18/209.57 ( class_Rings_Odivision__ring(T_a) % 209.18/209.57 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 209.18/209.57 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b % 209.18/209.57 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_divide__eq__imp,axiom, % 209.18/209.57 ! [V_a,V_b,V_c,T_a] : % 209.18/209.57 ( class_Rings_Odivision__ring(T_a) % 209.18/209.57 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 209.18/209.57 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) % 209.18/209.57 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_nonzero__divide__eq__eq,axiom, % 209.18/209.57 ! [V_a_2,V_ba_2,V_ca_2,T_b] : % 209.18/209.57 ( class_Rings_Odivision__ring(T_b) % 209.18/209.57 => ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b) % 209.18/209.57 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2) = V_a_2 % 209.18/209.57 <=> V_ba_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_nonzero__eq__divide__eq,axiom, % 209.18/209.57 ! [V_ba_2,V_a_2,V_ca_2,T_b] : % 209.18/209.57 ( class_Rings_Odivision__ring(T_b) % 209.18/209.57 => ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b) % 209.18/209.57 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2) % 209.18/209.57 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2) = V_ba_2 ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_right__inverse__eq,axiom, % 209.18/209.57 ! [V_a_2,V_ba_2,T_b] : % 209.18/209.57 ( class_Rings_Odivision__ring(T_b) % 209.18/209.57 => ( V_ba_2 != c_Groups_Ozero__class_Ozero(T_b) % 209.18/209.57 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_ba_2) = c_Groups_Oone__class_Oone(T_b) % 209.18/209.57 <=> V_a_2 = V_ba_2 ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_divide__self,axiom, % 209.18/209.57 ! [V_a,T_a] : % 209.18/209.57 ( class_Rings_Odivision__ring(T_a) % 209.18/209.57 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 209.18/209.57 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_divide__self__if,axiom, % 209.18/209.57 ! [V_a,T_a] : % 209.18/209.57 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 209.18/209.57 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a) % 209.18/209.57 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) % 209.18/209.57 & ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 209.18/209.57 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_nonzero__minus__divide__divide,axiom, % 209.18/209.57 ! [V_a,V_b,T_a] : % 209.18/209.57 ( class_Rings_Odivision__ring(T_a) % 209.18/209.57 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 209.18/209.57 => 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) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_nonzero__minus__divide__right,axiom, % 209.18/209.57 ! [V_a,V_b,T_a] : % 209.18/209.57 ( class_Rings_Odivision__ring(T_a) % 209.18/209.57 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 209.18/209.57 => 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)) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_nonzero__power__divide,axiom, % 209.18/209.57 ! [V_n,V_a,V_b,T_a] : % 209.18/209.57 ( class_Fields_Ofield(T_a) % 209.18/209.57 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 209.18/209.57 => 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)) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_power__one__over,axiom, % 209.18/209.57 ! [V_n,V_a,T_a] : % 209.18/209.57 ( class_Fields_Ofield__inverse__zero(T_a) % 209.18/209.57 => 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) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_bin__less__0__simps_I4_J,axiom, % 209.18/209.57 ! [V_w_2] : % 209.18/209.57 ( 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))) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_Bit1__def,axiom, % 209.18/209.57 ! [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) ). % 209.18/209.57 % 209.18/209.57 fof(fact_nat__number__of__def,axiom, % 209.18/209.57 ! [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)) ). % 209.18/209.57 % 209.18/209.57 fof(fact_nat__number__of,axiom, % 209.18/209.57 ! [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) ). % 209.18/209.57 % 209.18/209.57 fof(fact_setprod__dividef,axiom, % 209.18/209.57 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] : % 209.18/209.57 ( class_Fields_Ofield__inverse__zero(T_c) % 209.18/209.57 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.57 => 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)) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_divide__eq__eq__number__of1,axiom, % 209.18/209.57 ! [V_a_2,V_w_2,V_ba_2,T_b] : % 209.18/209.57 ( ( class_Fields_Ofield__inverse__zero(T_b) % 209.18/209.57 & class_Int_Onumber(T_b) ) % 209.18/209.57 => ( 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 % 209.18/209.57 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b) % 209.18/209.57 => 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)) ) % 209.18/209.57 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) % 209.18/209.57 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_divide__eq__eq__number__of,axiom, % 209.18/209.57 ! [V_w_2,V_ca_2,V_ba_2,T_b] : % 209.18/209.57 ( ( class_Fields_Ofield__inverse__zero(T_b) % 209.18/209.57 & class_Int_Onumber(T_b) ) % 209.18/209.57 => ( 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) % 209.18/209.57 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b) % 209.18/209.57 => 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) ) % 209.18/209.57 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_b) % 209.18/209.57 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_eq__divide__eq__number__of,axiom, % 209.18/209.57 ! [V_ca_2,V_ba_2,V_w_2,T_b] : % 209.18/209.57 ( ( class_Fields_Ofield__inverse__zero(T_b) % 209.18/209.57 & class_Int_Onumber(T_b) ) % 209.18/209.57 => ( 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) % 209.18/209.57 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b) % 209.18/209.57 => 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 ) % 209.18/209.57 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_b) % 209.18/209.57 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_eq__divide__eq__number__of1,axiom, % 209.18/209.57 ! [V_w_2,V_ba_2,V_a_2,T_b] : % 209.18/209.57 ( ( class_Fields_Ofield__inverse__zero(T_b) % 209.18/209.57 & class_Int_Onumber(T_b) ) % 209.18/209.57 => ( 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)) % 209.18/209.57 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b) % 209.18/209.57 => 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 ) % 209.18/209.57 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) % 209.18/209.57 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_number__of__Bit1,axiom, % 209.18/209.57 ! [V_w,T_a] : % 209.18/209.57 ( class_Int_Onumber__ring(T_a) % 209.18/209.57 => 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)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_power__number__of__odd,axiom, % 209.18/209.57 ! [V_z_2,V_w_2,T_b] : % 209.18/209.57 ( class_Int_Onumber__ring(T_b) % 209.18/209.57 => ( ( 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))) % 209.18/209.57 => 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))) ) % 209.18/209.57 & ( ~ 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))) % 209.18/209.57 => 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) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_zpower__number__of__odd,axiom, % 209.18/209.57 ! [V_z_2,V_w_2] : % 209.18/209.57 ( ( 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))) % 209.18/209.57 => 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))) ) % 209.18/209.57 & ( ~ 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))) % 209.18/209.57 => 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) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_less__divide__eq__number__of1,axiom, % 209.18/209.57 ! [V_w_2,V_ba_2,V_a_2,T_b] : % 209.18/209.57 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 209.18/209.57 & class_Int_Onumber(T_b) ) % 209.18/209.57 => ( 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)))) % 209.18/209.57 <=> ( ( 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))) % 209.18/209.57 => 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)) ) % 209.18/209.57 & ( ~ 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))) % 209.18/209.57 => ( ( 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))) % 209.18/209.57 => 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)))) ) % 209.18/209.57 & ( ~ 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))) % 209.18/209.57 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_less__divide__eq__number__of,axiom, % 209.18/209.57 ! [V_ca_2,V_ba_2,V_w_2,T_b] : % 209.18/209.57 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 209.18/209.57 & class_Int_Onumber(T_b) ) % 209.18/209.57 => ( 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))) % 209.18/209.57 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 209.18/209.57 => 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)) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 209.18/209.57 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 209.18/209.57 => 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))) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 209.18/209.57 => 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))) ) ) ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_divide__less__eq__number__of,axiom, % 209.18/209.57 ! [V_w_2,V_ca_2,V_ba_2,T_b] : % 209.18/209.57 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 209.18/209.57 & class_Int_Onumber(T_b) ) % 209.18/209.57 => ( 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))) % 209.18/209.57 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 209.18/209.57 => 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))) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 209.18/209.57 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 209.18/209.57 => 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)) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 209.18/209.57 => 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))) ) ) ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_divide__less__eq__number__of1,axiom, % 209.18/209.57 ! [V_a_2,V_w_2,V_ba_2,T_b] : % 209.18/209.57 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 209.18/209.57 & class_Int_Onumber(T_b) ) % 209.18/209.57 => ( 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)) % 209.18/209.57 <=> ( ( 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))) % 209.18/209.57 => 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)))) ) % 209.18/209.57 & ( ~ 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))) % 209.18/209.57 => ( ( 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))) % 209.18/209.57 => 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)) ) % 209.18/209.57 & ( ~ 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))) % 209.18/209.57 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_power__diff,axiom, % 209.18/209.57 ! [V_m,V_n,V_a,T_a] : % 209.18/209.57 ( class_Fields_Ofield(T_a) % 209.18/209.57 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 209.18/209.57 => 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)) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_divide__le__eq__number__of1,axiom, % 209.18/209.57 ! [V_a_2,V_w_2,V_ba_2,T_b] : % 209.18/209.57 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 209.18/209.57 & class_Int_Onumber(T_b) ) % 209.18/209.57 => ( 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)) % 209.18/209.57 <=> ( ( 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))) % 209.18/209.57 => 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)))) ) % 209.18/209.57 & ( ~ 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))) % 209.18/209.57 => ( ( 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))) % 209.18/209.57 => 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)) ) % 209.18/209.57 & ( ~ 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))) % 209.18/209.57 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_divide__le__eq__number__of,axiom, % 209.18/209.57 ! [V_w_2,V_ca_2,V_ba_2,T_b] : % 209.18/209.57 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 209.18/209.57 & class_Int_Onumber(T_b) ) % 209.18/209.57 => ( 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))) % 209.18/209.57 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 209.18/209.57 => 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))) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 209.18/209.57 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 209.18/209.57 => 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)) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 209.18/209.57 => 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))) ) ) ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_le__divide__eq__number__of,axiom, % 209.18/209.57 ! [V_ca_2,V_ba_2,V_w_2,T_b] : % 209.18/209.57 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 209.18/209.57 & class_Int_Onumber(T_b) ) % 209.18/209.57 => ( 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))) % 209.18/209.57 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 209.18/209.57 => 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)) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 209.18/209.57 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 209.18/209.57 => 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))) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 209.18/209.57 => 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))) ) ) ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_le__divide__eq__number__of1,axiom, % 209.18/209.57 ! [V_w_2,V_ba_2,V_a_2,T_b] : % 209.18/209.57 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 209.18/209.57 & class_Int_Onumber(T_b) ) % 209.18/209.57 => ( 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)))) % 209.18/209.57 <=> ( ( 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))) % 209.18/209.57 => 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)) ) % 209.18/209.57 & ( ~ 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))) % 209.18/209.57 => ( ( 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))) % 209.18/209.57 => 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)))) ) % 209.18/209.57 & ( ~ 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))) % 209.18/209.57 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_expand__Suc,axiom, % 209.18/209.57 ! [V_v] : % 209.18/209.57 ( 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))) % 209.18/209.57 => 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))) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_geometric__sum,axiom, % 209.18/209.57 ! [V_n_2,V_x_2,T_b] : % 209.18/209.57 ( class_Fields_Ofield(T_b) % 209.18/209.57 => ( V_x_2 != c_Groups_Oone__class_Oone(T_b) % 209.18/209.57 => 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))) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_le__divide__eq,axiom, % 209.18/209.57 ! [V_ca_2,V_ba_2,V_a_2,T_b] : % 209.18/209.57 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 209.18/209.57 => ( 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))) % 209.18/209.57 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 209.18/209.57 => 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)) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 209.18/209.57 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 209.18/209.57 => 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))) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 209.18/209.57 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_divide__le__eq,axiom, % 209.18/209.57 ! [V_a_2,V_ca_2,V_ba_2,T_b] : % 209.18/209.57 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 209.18/209.57 => ( 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)) % 209.18/209.57 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 209.18/209.57 => 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))) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 209.18/209.57 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 209.18/209.57 => 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)) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 209.18/209.57 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_pos__le__divide__eq,axiom, % 209.18/209.57 ! [V_ba_2,V_a_2,V_ca_2,T_b] : % 209.18/209.57 ( class_Fields_Olinordered__field(T_b) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 209.18/209.57 => ( 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))) % 209.18/209.57 <=> 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)) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_pos__divide__le__eq,axiom, % 209.18/209.57 ! [V_a_2,V_ba_2,V_ca_2,T_b] : % 209.18/209.57 ( class_Fields_Olinordered__field(T_b) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 209.18/209.57 => ( 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)) % 209.18/209.57 <=> 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))) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_times__divide__times__eq,axiom, % 209.18/209.57 ! [V_w,V_z,V_y,V_x,T_a] : % 209.18/209.57 ( class_Fields_Ofield__inverse__zero(T_a) % 209.18/209.57 => 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)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_minus__divide__right,axiom, % 209.18/209.57 ! [V_b,V_a,T_a] : % 209.18/209.57 ( class_Fields_Ofield__inverse__zero(T_a) % 209.18/209.57 => 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)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_minus__divide__divide,axiom, % 209.18/209.57 ! [V_b,V_a,T_a] : % 209.18/209.57 ( class_Fields_Ofield__inverse__zero(T_a) % 209.18/209.57 => 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) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_divide__right__mono__neg,axiom, % 209.18/209.57 ! [V_c,V_b,V_a,T_a] : % 209.18/209.57 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 209.18/209.57 => 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))) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_divide__right__mono,axiom, % 209.18/209.57 ! [V_c,V_b,V_a,T_a] : % 209.18/209.57 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 209.18/209.57 => 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))) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_divide__le__0__iff,axiom, % 209.18/209.57 ! [V_ba_2,V_a_2,T_b] : % 209.18/209.57 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 209.18/209.57 => ( 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))) % 209.18/209.57 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 209.18/209.57 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 209.18/209.57 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 209.18/209.57 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ba_2)) ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_zero__le__divide__iff,axiom, % 209.18/209.57 ! [V_ba_2,V_a_2,T_b] : % 209.18/209.57 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 209.18/209.57 => ( 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))) % 209.18/209.57 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 209.18/209.57 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ba_2)) ) % 209.18/209.57 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 209.18/209.57 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_zero__less__divide__iff,axiom, % 209.18/209.57 ! [V_ba_2,V_a_2,T_b] : % 209.18/209.57 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 209.18/209.57 => ( 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))) % 209.18/209.57 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 209.18/209.57 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ba_2)) ) % 209.18/209.57 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 209.18/209.57 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_divide__less__0__iff,axiom, % 209.18/209.57 ! [V_ba_2,V_a_2,T_b] : % 209.18/209.57 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 209.18/209.57 => ( 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))) % 209.18/209.57 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 209.18/209.57 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 209.18/209.57 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 209.18/209.57 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ba_2)) ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_divide__pos__pos,axiom, % 209.18/209.57 ! [V_y,V_x,T_a] : % 209.18/209.57 ( class_Fields_Olinordered__field(T_a) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 209.18/209.57 => 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))) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_divide__pos__neg,axiom, % 209.18/209.57 ! [V_y,V_x,T_a] : % 209.18/209.57 ( class_Fields_Olinordered__field(T_a) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 209.18/209.57 => 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))) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_divide__neg__pos,axiom, % 209.18/209.57 ! [V_y,V_x,T_a] : % 209.18/209.57 ( class_Fields_Olinordered__field(T_a) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 209.18/209.57 => 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))) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_divide__neg__neg,axiom, % 209.18/209.57 ! [V_y,V_x,T_a] : % 209.18/209.57 ( class_Fields_Olinordered__field(T_a) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 209.18/209.57 => 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))) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_divide__strict__right__mono,axiom, % 209.18/209.57 ! [V_c,V_b,V_a,T_a] : % 209.18/209.57 ( class_Fields_Olinordered__field(T_a) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 209.18/209.57 => 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))) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_divide__strict__right__mono__neg,axiom, % 209.18/209.57 ! [V_c,V_a,V_b,T_a] : % 209.18/209.57 ( class_Fields_Olinordered__field(T_a) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 209.18/209.57 => 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))) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_eq__divide__eq,axiom, % 209.18/209.57 ! [V_ca_2,V_ba_2,V_a_2,T_b] : % 209.18/209.57 ( class_Fields_Ofield__inverse__zero(T_b) % 209.18/209.57 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2) % 209.18/209.57 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b) % 209.18/209.57 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2) = V_ba_2 ) % 209.18/209.57 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_b) % 209.18/209.57 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_divide__eq__eq,axiom, % 209.18/209.57 ! [V_a_2,V_ca_2,V_ba_2,T_b] : % 209.18/209.57 ( class_Fields_Ofield__inverse__zero(T_b) % 209.18/209.57 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_ba_2),V_ca_2) = V_a_2 % 209.18/209.57 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b) % 209.18/209.57 => V_ba_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ca_2) ) % 209.18/209.57 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_b) % 209.18/209.57 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_mult__divide__mult__cancel__right,axiom, % 209.18/209.57 ! [V_b,V_a,V_c,T_a] : % 209.18/209.57 ( class_Fields_Ofield__inverse__zero(T_a) % 209.18/209.57 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 209.18/209.57 => 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) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_mult__divide__mult__cancel__left,axiom, % 209.18/209.57 ! [V_b,V_a,V_c,T_a] : % 209.18/209.57 ( class_Fields_Ofield__inverse__zero(T_a) % 209.18/209.57 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 209.18/209.57 => 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) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_frac__eq__eq,axiom, % 209.18/209.57 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_b] : % 209.18/209.57 ( class_Fields_Ofield(T_b) % 209.18/209.57 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_b) % 209.18/209.57 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_b) % 209.18/209.57 => ( 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) % 209.18/209.57 <=> 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) ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_divide__nonpos__neg,axiom, % 209.18/209.57 ! [V_y,V_x,T_a] : % 209.18/209.57 ( class_Fields_Olinordered__field(T_a) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 209.18/209.57 => 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))) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_divide__nonpos__pos,axiom, % 209.18/209.57 ! [V_y,V_x,T_a] : % 209.18/209.57 ( class_Fields_Olinordered__field(T_a) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 209.18/209.57 => 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))) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_frac__le,axiom, % 209.18/209.57 ! [V_z,V_w,V_y,V_x,T_a] : % 209.18/209.57 ( class_Fields_Olinordered__field(T_a) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z)) % 209.18/209.57 => 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))) ) ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_frac__less,axiom, % 209.18/209.57 ! [V_z,V_w,V_y,V_x,T_a] : % 209.18/209.57 ( class_Fields_Olinordered__field(T_a) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z)) % 209.18/209.57 => 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))) ) ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_frac__less2,axiom, % 209.18/209.57 ! [V_z,V_w,V_y,V_x,T_a] : % 209.18/209.57 ( class_Fields_Olinordered__field(T_a) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z)) % 209.18/209.57 => 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))) ) ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_divide__nonneg__neg,axiom, % 209.18/209.57 ! [V_y,V_x,T_a] : % 209.18/209.57 ( class_Fields_Olinordered__field(T_a) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 209.18/209.57 => 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))) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_divide__nonneg__pos,axiom, % 209.18/209.57 ! [V_y,V_x,T_a] : % 209.18/209.57 ( class_Fields_Olinordered__field(T_a) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 209.18/209.57 => 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))) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_less__divide__eq,axiom, % 209.18/209.57 ! [V_ca_2,V_ba_2,V_a_2,T_b] : % 209.18/209.57 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 209.18/209.57 => ( 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))) % 209.18/209.57 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 209.18/209.57 => 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)) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 209.18/209.57 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 209.18/209.57 => 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))) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 209.18/209.57 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_divide__less__eq,axiom, % 209.18/209.57 ! [V_a_2,V_ca_2,V_ba_2,T_b] : % 209.18/209.57 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 209.18/209.57 => ( 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)) % 209.18/209.57 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 209.18/209.57 => 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))) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 209.18/209.57 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 209.18/209.57 => 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)) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 209.18/209.57 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_pos__less__divide__eq,axiom, % 209.18/209.57 ! [V_ba_2,V_a_2,V_ca_2,T_b] : % 209.18/209.57 ( class_Fields_Olinordered__field(T_b) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 209.18/209.57 => ( 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))) % 209.18/209.57 <=> 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)) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_pos__divide__less__eq,axiom, % 209.18/209.57 ! [V_a_2,V_ba_2,V_ca_2,T_b] : % 209.18/209.57 ( class_Fields_Olinordered__field(T_b) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2)) % 209.18/209.57 => ( 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)) % 209.18/209.57 <=> 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))) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_mult__imp__div__pos__less,axiom, % 209.18/209.57 ! [V_z,V_x,V_y,T_a] : % 209.18/209.57 ( class_Fields_Olinordered__field(T_a) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 209.18/209.57 => ( 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))) % 209.18/209.57 => 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)) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_mult__imp__less__div__pos,axiom, % 209.18/209.57 ! [V_x,V_z,V_y,T_a] : % 209.18/209.57 ( class_Fields_Olinordered__field(T_a) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 209.18/209.57 => ( 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)) % 209.18/209.57 => 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))) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_neg__less__divide__eq,axiom, % 209.18/209.57 ! [V_ba_2,V_a_2,V_ca_2,T_b] : % 209.18/209.57 ( class_Fields_Olinordered__field(T_b) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 209.18/209.57 => ( 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))) % 209.18/209.57 <=> 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))) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_neg__divide__less__eq,axiom, % 209.18/209.57 ! [V_a_2,V_ba_2,V_ca_2,T_b] : % 209.18/209.57 ( class_Fields_Olinordered__field(T_b) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 209.18/209.57 => ( 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)) % 209.18/209.57 <=> 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)) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_divide__strict__left__mono,axiom, % 209.18/209.57 ! [V_c,V_a,V_b,T_a] : % 209.18/209.57 ( class_Fields_Olinordered__field(T_a) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 209.18/209.57 => ( 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))) % 209.18/209.57 => 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))) ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_divide__strict__left__mono__neg,axiom, % 209.18/209.57 ! [V_c,V_b,V_a,T_a] : % 209.18/209.57 ( class_Fields_Olinordered__field(T_a) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 209.18/209.57 => ( 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))) % 209.18/209.57 => 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))) ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_add__frac__eq,axiom, % 209.18/209.57 ! [V_w,V_x,V_z,V_y,T_a] : % 209.18/209.57 ( class_Fields_Ofield(T_a) % 209.18/209.57 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 209.18/209.57 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 209.18/209.57 => 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)) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_divide__add__eq__iff,axiom, % 209.18/209.57 ! [V_y,V_x,V_z,T_a] : % 209.18/209.57 ( class_Fields_Ofield(T_a) % 209.18/209.57 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 209.18/209.57 => 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) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_add__frac__num,axiom, % 209.18/209.57 ! [V_z,V_x,V_y,T_a] : % 209.18/209.57 ( class_Fields_Ofield__inverse__zero(T_a) % 209.18/209.57 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 209.18/209.57 => 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) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_add__divide__eq__iff,axiom, % 209.18/209.57 ! [V_y,V_x,V_z,T_a] : % 209.18/209.57 ( class_Fields_Ofield(T_a) % 209.18/209.57 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 209.18/209.57 => 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) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_add__num__frac,axiom, % 209.18/209.57 ! [V_x,V_z,V_y,T_a] : % 209.18/209.57 ( class_Fields_Ofield__inverse__zero(T_a) % 209.18/209.57 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 209.18/209.57 => 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) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_diff__divide__eq__iff,axiom, % 209.18/209.57 ! [V_y,V_x,V_z,T_a] : % 209.18/209.57 ( class_Fields_Ofield(T_a) % 209.18/209.57 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 209.18/209.57 => 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) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_divide__diff__eq__iff,axiom, % 209.18/209.57 ! [V_y,V_x,V_z,T_a] : % 209.18/209.57 ( class_Fields_Ofield(T_a) % 209.18/209.57 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 209.18/209.57 => 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) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_diff__frac__eq,axiom, % 209.18/209.57 ! [V_w,V_x,V_z,V_y,T_a] : % 209.18/209.57 ( class_Fields_Ofield(T_a) % 209.18/209.57 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 209.18/209.57 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 209.18/209.57 => 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)) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_less__half__sum,axiom, % 209.18/209.57 ! [V_b,V_a,T_a] : % 209.18/209.57 ( class_Fields_Olinordered__field(T_a) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 209.18/209.57 => 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))))) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_gt__half__sum,axiom, % 209.18/209.57 ! [V_b,V_a,T_a] : % 209.18/209.57 ( class_Fields_Olinordered__field(T_a) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 209.18/209.57 => 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)) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_divide__left__mono__neg,axiom, % 209.18/209.57 ! [V_c,V_b,V_a,T_a] : % 209.18/209.57 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 209.18/209.57 => ( 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))) % 209.18/209.57 => 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))) ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_divide__left__mono,axiom, % 209.18/209.57 ! [V_c,V_a,V_b,T_a] : % 209.18/209.57 ( class_Fields_Olinordered__field(T_a) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 209.18/209.57 => ( 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))) % 209.18/209.57 => 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))) ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_neg__divide__le__eq,axiom, % 209.18/209.57 ! [V_a_2,V_ba_2,V_ca_2,T_b] : % 209.18/209.57 ( class_Fields_Olinordered__field(T_b) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 209.18/209.57 => ( 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)) % 209.18/209.57 <=> 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)) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_neg__le__divide__eq,axiom, % 209.18/209.57 ! [V_ba_2,V_a_2,V_ca_2,T_b] : % 209.18/209.57 ( class_Fields_Olinordered__field(T_b) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b))) % 209.18/209.57 => ( 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))) % 209.18/209.57 <=> 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))) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_mult__imp__le__div__pos,axiom, % 209.18/209.57 ! [V_x,V_z,V_y,T_a] : % 209.18/209.57 ( class_Fields_Olinordered__field(T_a) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 209.18/209.57 => ( 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)) % 209.18/209.57 => 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))) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_mult__imp__div__pos__le,axiom, % 209.18/209.57 ! [V_z,V_x,V_y,T_a] : % 209.18/209.57 ( class_Fields_Olinordered__field(T_a) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 209.18/209.57 => ( 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))) % 209.18/209.57 => 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)) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_one__mod__nat__number__of,axiom, % 209.18/209.57 ! [V_v_H] : % 209.18/209.57 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 209.18/209.57 => 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)) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 209.18/209.57 => 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))) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_setprod__Un,axiom, % 209.18/209.57 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 209.18/209.57 ( class_Fields_Ofield(T_c) % 209.18/209.57 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.57 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 209.18/209.57 => ( ! [B_x] : % 209.18/209.57 ( 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))) % 209.18/209.57 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_c) ) % 209.18/209.57 => 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))) ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_power__nat__number__of,axiom, % 209.18/209.57 ! [V_n,V_v] : % 209.18/209.57 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 209.18/209.57 => 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) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 209.18/209.57 => 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)) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_not__neg__int,axiom, % 209.18/209.57 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_not__neg__1,axiom, % 209.18/209.57 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_not__neg__0,axiom, % 209.18/209.57 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_not__neg__eq__ge__0,axiom, % 209.18/209.57 ! [V_x_2] : % 209.18/209.57 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2)) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_neg__def,axiom, % 209.18/209.57 ! [V_Z_2] : % 209.18/209.57 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2)) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_neg__nat,axiom, % 209.18/209.57 ! [V_z] : % 209.18/209.57 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z)) % 209.18/209.57 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_neg__number__of__Bit1,axiom, % 209.18/209.57 ! [V_w_2] : % 209.18/209.57 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2)))) % 209.18/209.57 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_not__neg__nat,axiom, % 209.18/209.57 ! [V_z] : % 209.18/209.57 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z)) % 209.18/209.57 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_neg__imp__number__of__eq__0,axiom, % 209.18/209.57 ! [V_v] : % 209.18/209.57 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 209.18/209.57 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_neg__zminus__int,axiom, % 209.18/209.57 ! [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))))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_eq__nat__number__of,axiom, % 209.18/209.57 ! [V_v_H_2,V_v_2] : % 209.18/209.57 ( 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) % 209.18/209.57 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) % 209.18/209.57 => 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))) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) % 209.18/209.57 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2))) % 209.18/209.57 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2))) % 209.18/209.57 => V_v_2 = V_v_H_2 ) ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_nat__number__of__add__left,axiom, % 209.18/209.57 ! [V_k,V_v_H,V_v] : % 209.18/209.57 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 209.18/209.57 => 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) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 209.18/209.57 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 209.18/209.57 => 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) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 209.18/209.57 => 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) ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_int__nat__number__of,axiom, % 209.18/209.57 ! [V_v] : % 209.18/209.57 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 209.18/209.57 => 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) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 209.18/209.57 => 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) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_diff__nat__eq__if,axiom, % 209.18/209.57 ! [V_z_2,V_z_H_2] : % 209.18/209.57 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2)) % 209.18/209.57 => 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) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2)) % 209.18/209.57 => 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)) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_of__nat__number__of__eq,axiom, % 209.18/209.57 ! [V_v,T_a] : % 209.18/209.57 ( class_Int_Onumber__ring(T_a) % 209.18/209.57 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 209.18/209.57 => 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) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 209.18/209.57 => 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) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_mod__nat__number__of,axiom, % 209.18/209.57 ! [V_v_H,V_v] : % 209.18/209.57 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 209.18/209.57 => 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) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 209.18/209.57 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 209.18/209.57 => 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) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 209.18/209.57 => 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))) ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_div__nat__number__of,axiom, % 209.18/209.57 ! [V_v_H,V_v] : % 209.18/209.57 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 209.18/209.57 => 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) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 209.18/209.57 => 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))) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_nat__number__of__Bit1,axiom, % 209.18/209.57 ! [V_w_2] : % 209.18/209.57 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 209.18/209.57 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 209.18/209.57 => 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)))) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_power__nat__number__of__number__of,axiom, % 209.18/209.57 ! [V_w,V_v] : % 209.18/209.57 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 209.18/209.57 => 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)) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 209.18/209.57 => 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))) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_Suc__nat__number__of__add,axiom, % 209.18/209.57 ! [V_n,V_v] : % 209.18/209.57 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 209.18/209.57 => 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) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 209.18/209.57 => 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) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_diff__nat__number__of,axiom, % 209.18/209.57 ! [V_v_2,V_v_H_2] : % 209.18/209.57 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls)) % 209.18/209.57 => 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) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls)) % 209.18/209.57 => 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)) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_min__Suc__number__of,axiom, % 209.18/209.57 ! [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)))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I46_J,axiom, % 209.18/209.57 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I39_J,axiom, % 209.18/209.57 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ). % 209.18/209.57 % 209.18/209.57 fof(fact_succ__Pls,axiom, % 209.18/209.57 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I19_J,axiom, % 209.18/209.57 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I2_J,axiom, % 209.18/209.57 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ). % 209.18/209.57 % 209.18/209.57 fof(fact_add__Pls__right,axiom, % 209.18/209.57 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ). % 209.18/209.57 % 209.18/209.57 fof(fact_add__Pls,axiom, % 209.18/209.57 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ). % 209.18/209.57 % 209.18/209.57 fof(fact_mult__Pls,axiom, % 209.18/209.57 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ). % 209.18/209.57 % 209.18/209.57 fof(fact_succ__pred,axiom, % 209.18/209.57 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ). % 209.18/209.57 % 209.18/209.57 fof(fact_Pls__def,axiom, % 209.18/209.57 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 209.18/209.57 % 209.18/209.57 fof(fact_minus__Pls,axiom, % 209.18/209.57 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ). % 209.18/209.57 % 209.18/209.57 fof(fact_diff__bin__simps_I1_J,axiom, % 209.18/209.57 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ). % 209.18/209.57 % 209.18/209.57 fof(fact_semiring__norm_I112_J,axiom, % 209.18/209.57 ! [T_a] : % 209.18/209.57 ( class_Int_Onumber__ring(T_a) % 209.18/209.57 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_number__of__Pls,axiom, % 209.18/209.57 ! [T_a] : % 209.18/209.57 ( class_Int_Onumber__ring(T_a) % 209.18/209.57 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_add__numeral__0,axiom, % 209.18/209.57 ! [V_a,T_a] : % 209.18/209.57 ( class_Int_Onumber__ring(T_a) % 209.18/209.57 => 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 ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_add__numeral__0__right,axiom, % 209.18/209.57 ! [V_a,T_a] : % 209.18/209.57 ( class_Int_Onumber__ring(T_a) % 209.18/209.57 => 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 ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_bin__less__0__simps_I1_J,axiom, % 209.18/209.57 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_semiring__norm_I113_J,axiom, % 209.18/209.57 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ). % 209.18/209.57 % 209.18/209.57 fof(fact_nat__number__of__Pls,axiom, % 209.18/209.57 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 209.18/209.57 % 209.18/209.57 fof(fact_zero__is__num__zero,axiom, % 209.18/209.57 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I22_J,axiom, % 209.18/209.57 ! [V_k_2] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2))) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I12_J,axiom, % 209.18/209.57 ! [V_k_2] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls)) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_Suc__diff__number__of,axiom, % 209.18/209.57 ! [V_m,V_v] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v)) % 209.18/209.57 => 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))) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_not__neg__number__of__Pls,axiom, % 209.18/209.57 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_nat__1__add__number__of,axiom, % 209.18/209.57 ! [V_v] : % 209.18/209.57 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 209.18/209.57 => 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) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 209.18/209.57 => 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)) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_nat__number__of__add__1,axiom, % 209.18/209.57 ! [V_v] : % 209.18/209.57 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 209.18/209.57 => 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) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 209.18/209.57 => 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)) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_le__iff__pred__less,axiom, % 209.18/209.57 ! [V_l_2,V_k_2] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_minus__Bit1,axiom, % 209.18/209.57 ! [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))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_pred__def,axiom, % 209.18/209.57 ! [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)) ). % 209.18/209.57 % 209.18/209.57 fof(fact_nat__number__of__diff__1,axiom, % 209.18/209.57 ! [V_v] : % 209.18/209.57 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls)) % 209.18/209.57 => 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) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls)) % 209.18/209.57 => 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)) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_mult__numeral__1__right,axiom, % 209.18/209.57 ! [V_a,T_a] : % 209.18/209.57 ( class_Int_Onumber__ring(T_a) % 209.18/209.57 => 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 ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_mult__numeral__1,axiom, % 209.18/209.57 ! [V_a,T_a] : % 209.18/209.57 ( class_Int_Onumber__ring(T_a) % 209.18/209.57 => 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 ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_divide__Numeral0,axiom, % 209.18/209.57 ! [V_x,T_a] : % 209.18/209.57 ( ( class_Fields_Ofield__inverse__zero(T_a) % 209.18/209.57 & class_Int_Onumber__ring(T_a) ) % 209.18/209.57 => 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) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_semiring__norm_I110_J,axiom, % 209.18/209.57 ! [T_a] : % 209.18/209.57 ( class_Int_Onumber__ring(T_a) % 209.18/209.57 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_numeral__1__eq__1,axiom, % 209.18/209.57 ! [T_a] : % 209.18/209.57 ( class_Int_Onumber__ring(T_a) % 209.18/209.57 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_eq__number__of__0,axiom, % 209.18/209.57 ! [V_v_2] : % 209.18/209.57 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_eq__0__number__of,axiom, % 209.18/209.57 ! [V_v_2] : % 209.18/209.57 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_number__of2,axiom, % 209.18/209.57 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))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I29_J,axiom, % 209.18/209.57 ! [V_k_2] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls)) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I5_J,axiom, % 209.18/209.57 ! [V_k_2] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2))) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_less__nat__number__of,axiom, % 209.18/209.57 ! [V_v_H_2,V_v_2] : % 209.18/209.57 ( 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))) % 209.18/209.57 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) % 209.18/209.57 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) ) % 209.18/209.57 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_divide__Numeral1,axiom, % 209.18/209.57 ! [V_x,T_a] : % 209.18/209.57 ( ( class_Fields_Ofield(T_a) % 209.18/209.57 & class_Int_Onumber__ring(T_a) ) % 209.18/209.57 => 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 ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_divide__numeral__1,axiom, % 209.18/209.57 ! [V_a,T_a] : % 209.18/209.57 ( ( class_Fields_Ofield(T_a) % 209.18/209.57 & class_Int_Onumber__ring(T_a) ) % 209.18/209.57 => 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 ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_le__nat__number__of,axiom, % 209.18/209.57 ! [V_v_H_2,V_v_2] : % 209.18/209.57 ( 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))) % 209.18/209.57 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2)) % 209.18/209.57 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_one__is__num__one,axiom, % 209.18/209.57 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ). % 209.18/209.57 % 209.18/209.57 fof(fact_Numeral1__eq1__nat,axiom, % 209.18/209.57 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ). % 209.18/209.57 % 209.18/209.57 fof(fact_nat__numeral__1__eq__1,axiom, % 209.18/209.57 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ). % 209.18/209.57 % 209.18/209.57 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom, % 209.18/209.57 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_succ__def,axiom, % 209.18/209.57 ! [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)) ). % 209.18/209.57 % 209.18/209.57 fof(fact_le__special_I1_J,axiom, % 209.18/209.57 ! [V_y_2,T_b] : % 209.18/209.57 ( ( class_Int_Onumber__ring(T_b) % 209.18/209.57 & class_Rings_Olinordered__idom(T_b) ) % 209.18/209.57 => ( 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))) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_le__special_I3_J,axiom, % 209.18/209.57 ! [V_x_2,T_b] : % 209.18/209.57 ( ( class_Int_Onumber__ring(T_b) % 209.18/209.57 & class_Rings_Olinordered__idom(T_b) ) % 209.18/209.57 => ( 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))) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_less__special_I3_J,axiom, % 209.18/209.57 ! [V_x_2,T_b] : % 209.18/209.57 ( ( class_Int_Onumber__ring(T_b) % 209.18/209.57 & class_Rings_Olinordered__idom(T_b) ) % 209.18/209.57 => ( 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))) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_less__special_I1_J,axiom, % 209.18/209.57 ! [V_y_2,T_b] : % 209.18/209.57 ( ( class_Int_Onumber__ring(T_b) % 209.18/209.57 & class_Rings_Olinordered__idom(T_b) ) % 209.18/209.57 => ( 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))) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_less__0__number__of,axiom, % 209.18/209.57 ! [V_v_2] : % 209.18/209.57 ( 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))) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_numeral__3__eq__3,axiom, % 209.18/209.57 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)))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_numeral__1__eq__Suc__0,axiom, % 209.18/209.57 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)) ). % 209.18/209.57 % 209.18/209.57 fof(fact_power3__eq__cube,axiom, % 209.18/209.57 ! [V_a,T_a] : % 209.18/209.57 ( class_Groups_Omonoid__mult(T_a) % 209.18/209.57 => 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) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom, % 209.18/209.57 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))))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_Suc3__eq__add__3,axiom, % 209.18/209.57 ! [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) ). % 209.18/209.57 % 209.18/209.57 fof(fact_add__nat__number__of,axiom, % 209.18/209.57 ! [V_v_H,V_v] : % 209.18/209.57 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 209.18/209.57 => 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) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 209.18/209.57 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls)) % 209.18/209.57 => 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) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls)) % 209.18/209.57 => 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)) ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_transfer__int__nat__numerals_I4_J,axiom, % 209.18/209.57 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)))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_transfer__nat__int__numerals_I4_J,axiom, % 209.18/209.57 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)))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_number__of__succ,axiom, % 209.18/209.57 ! [V_k,T_a] : % 209.18/209.57 ( class_Int_Onumber__ring(T_a) % 209.18/209.57 => 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)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_number__of__pred,axiom, % 209.18/209.57 ! [V_w,T_a] : % 209.18/209.57 ( class_Int_Onumber__ring(T_a) % 209.18/209.57 => 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)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_le__special_I2_J,axiom, % 209.18/209.57 ! [V_y_2,T_b] : % 209.18/209.57 ( ( class_Int_Onumber__ring(T_b) % 209.18/209.57 & class_Rings_Olinordered__idom(T_b) ) % 209.18/209.57 => ( 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))) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_le__special_I4_J,axiom, % 209.18/209.57 ! [V_x_2,T_b] : % 209.18/209.57 ( ( class_Int_Onumber__ring(T_b) % 209.18/209.57 & class_Rings_Olinordered__idom(T_b) ) % 209.18/209.57 => ( 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))) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_less__special_I4_J,axiom, % 209.18/209.57 ! [V_x_2,T_b] : % 209.18/209.57 ( ( class_Int_Onumber__ring(T_b) % 209.18/209.57 & class_Rings_Olinordered__idom(T_b) ) % 209.18/209.57 => ( 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))) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_less__special_I2_J,axiom, % 209.18/209.57 ! [V_y_2,T_b] : % 209.18/209.57 ( ( class_Int_Onumber__ring(T_b) % 209.18/209.57 & class_Rings_Olinordered__idom(T_b) ) % 209.18/209.57 => ( 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))) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_add__special_I3_J,axiom, % 209.18/209.57 ! [V_v,T_a] : % 209.18/209.57 ( class_Int_Onumber__ring(T_a) % 209.18/209.57 => 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))) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_add__special_I2_J,axiom, % 209.18/209.57 ! [V_w,T_a] : % 209.18/209.57 ( class_Int_Onumber__ring(T_a) % 209.18/209.57 => 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)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_Suc__diff__eq__diff__pred,axiom, % 209.18/209.57 ! [V_m,V_n] : % 209.18/209.57 ( 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)) % 209.18/209.57 => 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)))) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_mult__nat__number__of,axiom, % 209.18/209.57 ! [V_v_H,V_v] : % 209.18/209.57 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 209.18/209.57 => 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) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 209.18/209.57 => 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)) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_nat__number__of__mult__left,axiom, % 209.18/209.57 ! [V_k,V_v_H,V_v] : % 209.18/209.57 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 209.18/209.57 => 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) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 209.18/209.57 => 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) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_neg__number__of__pred__iff__0,axiom, % 209.18/209.57 ! [V_v_2] : % 209.18/209.57 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2)))) % 209.18/209.57 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom, % 209.18/209.57 ! [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)) ). % 209.18/209.57 % 209.18/209.57 fof(fact_Suc__mod__eq__add3__mod,axiom, % 209.18/209.57 ! [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) ). % 209.18/209.57 % 209.18/209.57 fof(fact_mod__Suc__eq__mod__add3,axiom, % 209.18/209.57 ! [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)) ). % 209.18/209.57 % 209.18/209.57 fof(fact_div__Suc__eq__div__add3,axiom, % 209.18/209.57 ! [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)) ). % 209.18/209.57 % 209.18/209.57 fof(fact_Suc__div__eq__add3__div,axiom, % 209.18/209.57 ! [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) ). % 209.18/209.57 % 209.18/209.57 fof(fact_Suc__div__eq__add3__div__number__of,axiom, % 209.18/209.57 ! [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)) ). % 209.18/209.57 % 209.18/209.57 fof(fact_diff__special_I2_J,axiom, % 209.18/209.57 ! [V_v,T_a] : % 209.18/209.57 ( class_Int_Onumber__ring(T_a) % 209.18/209.57 => 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)))) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_diff__special_I1_J,axiom, % 209.18/209.57 ! [V_w,T_a] : % 209.18/209.57 ( class_Int_Onumber__ring(T_a) % 209.18/209.57 => 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))) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_Suc__eq__number__of,axiom, % 209.18/209.57 ! [V_v_2,V_n_2] : % 209.18/209.57 ( hAPP(c_Nat_OSuc,V_n_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) % 209.18/209.57 <=> 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))))) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_eq__number__of__Suc,axiom, % 209.18/209.57 ! [V_n_2,V_v_2] : % 209.18/209.57 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_n_2) % 209.18/209.57 <=> 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))))) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_less__number__of__Suc,axiom, % 209.18/209.57 ! [V_n_2,V_v_2] : % 209.18/209.57 ( 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))) % 209.18/209.57 <=> 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)))) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_less__Suc__number__of,axiom, % 209.18/209.57 ! [V_v_2,V_n_2] : % 209.18/209.57 ( 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))) % 209.18/209.57 <=> 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))))) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_le__number__of__Suc,axiom, % 209.18/209.57 ! [V_n_2,V_v_2] : % 209.18/209.57 ( 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))) % 209.18/209.57 <=> 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)))) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_le__Suc__number__of,axiom, % 209.18/209.57 ! [V_v_2,V_n_2] : % 209.18/209.57 ( 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))) % 209.18/209.57 <=> 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))))) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_Suc__nat__number__of,axiom, % 209.18/209.57 ! [V_v] : % 209.18/209.57 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 209.18/209.57 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 209.18/209.57 => 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)) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_max__Suc__number__of,axiom, % 209.18/209.57 ! [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)))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_max__number__of__Suc,axiom, % 209.18/209.57 ! [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)))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_min__number__of__Suc,axiom, % 209.18/209.57 ! [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)))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_nat__case__add__eq__if,axiom, % 209.18/209.57 ! [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)))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_of__int__num,axiom, % 209.18/209.57 ! [V_k_2,T_b] : % 209.18/209.57 ( class_Rings_Oring__1(T_b) % 209.18/209.57 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.57 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = c_Groups_Ozero__class_Ozero(T_b) ) % 209.18/209.57 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.57 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.57 => 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))) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.57 => 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))))) ) ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_nat__case__number__of,axiom, % 209.18/209.57 ! [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))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_Bit0__Pls,axiom, % 209.18/209.57 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I38_J,axiom, % 209.18/209.57 ! [V_l_2] : % 209.18/209.57 ( c_Int_OPls = c_Int_OBit0(V_l_2) % 209.18/209.57 <=> c_Int_OPls = V_l_2 ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I44_J,axiom, % 209.18/209.57 ! [V_k_2] : % 209.18/209.57 ( c_Int_OBit0(V_k_2) = c_Int_OPls % 209.18/209.57 <=> V_k_2 = c_Int_OPls ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_Bit0__def,axiom, % 209.18/209.57 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ). % 209.18/209.57 % 209.18/209.57 fof(fact_add__Bit0__Bit0,axiom, % 209.18/209.57 ! [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)) ). % 209.18/209.57 % 209.18/209.57 fof(fact_mult__Bit0,axiom, % 209.18/209.57 ! [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)) ). % 209.18/209.57 % 209.18/209.57 fof(fact_minus__Bit0,axiom, % 209.18/209.57 ! [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)) ). % 209.18/209.57 % 209.18/209.57 fof(fact_diff__bin__simps_I7_J,axiom, % 209.18/209.57 ! [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)) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I48_J,axiom, % 209.18/209.57 ! [V_l_2,V_k_2] : % 209.18/209.57 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2) % 209.18/209.57 <=> V_k_2 = V_l_2 ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I14_J,axiom, % 209.18/209.57 ! [V_l_2,V_k_2] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2))) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_less__int__code_I13_J,axiom, % 209.18/209.57 ! [V_k2_2,V_k1_2] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2))) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_less__eq__int__code_I13_J,axiom, % 209.18/209.57 ! [V_k2_2,V_k1_2] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2))) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I31_J,axiom, % 209.18/209.57 ! [V_l_2,V_k_2] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2))) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I49_J,axiom, % 209.18/209.57 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I50_J,axiom, % 209.18/209.57 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ). % 209.18/209.57 % 209.18/209.57 fof(fact_bin__less__0__simps_I3_J,axiom, % 209.18/209.57 ! [V_w_2] : % 209.18/209.57 ( 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))) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I27_J,axiom, % 209.18/209.57 ! [V_k_2] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls)) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I21_J,axiom, % 209.18/209.57 ! [V_k_2] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2))) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_less__eq__int__code_I14_J,axiom, % 209.18/209.57 ! [V_k2_2,V_k1_2] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2))) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I32_J,axiom, % 209.18/209.57 ! [V_l_2,V_k_2] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2))) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I4_J,axiom, % 209.18/209.57 ! [V_k_2] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2))) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I10_J,axiom, % 209.18/209.57 ! [V_k_2] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls)) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I16_J,axiom, % 209.18/209.57 ! [V_l_2,V_k_2] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2))) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_less__int__code_I15_J,axiom, % 209.18/209.57 ! [V_k2_2,V_k1_2] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2))) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_add__Bit0__Bit1,axiom, % 209.18/209.57 ! [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)) ). % 209.18/209.57 % 209.18/209.57 fof(fact_add__Bit1__Bit0,axiom, % 209.18/209.57 ! [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)) ). % 209.18/209.57 % 209.18/209.57 fof(fact_diff__bin__simps_I3_J,axiom, % 209.18/209.57 ! [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)) ). % 209.18/209.57 % 209.18/209.57 fof(fact_diff__bin__simps_I10_J,axiom, % 209.18/209.57 ! [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)) ). % 209.18/209.57 % 209.18/209.57 fof(fact_diff__bin__simps_I9_J,axiom, % 209.18/209.57 ! [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)) ). % 209.18/209.57 % 209.18/209.57 fof(fact_zdiv__number__of__Bit0,axiom, % 209.18/209.57 ! [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)) ). % 209.18/209.57 % 209.18/209.57 fof(fact_neg__number__of__Bit0,axiom, % 209.18/209.57 ! [V_w_2] : % 209.18/209.57 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2)))) % 209.18/209.57 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_pred__Bit1,axiom, % 209.18/209.57 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ). % 209.18/209.57 % 209.18/209.57 fof(fact_pred__Bit0,axiom, % 209.18/209.57 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ). % 209.18/209.57 % 209.18/209.57 fof(fact_succ__Bit0,axiom, % 209.18/209.57 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ). % 209.18/209.57 % 209.18/209.57 fof(fact_succ__Bit1,axiom, % 209.18/209.57 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ). % 209.18/209.57 % 209.18/209.57 fof(fact_nat__number__of__Bit0,axiom, % 209.18/209.57 ! [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))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_nat__case__0,axiom, % 209.18/209.57 ! [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 ). % 209.18/209.57 % 209.18/209.57 fof(fact_nat__case__Suc,axiom, % 209.18/209.57 ! [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) ). % 209.18/209.57 % 209.18/209.57 fof(fact_number__of__Bit0,axiom, % 209.18/209.57 ! [V_w,T_a] : % 209.18/209.57 ( class_Int_Onumber__ring(T_a) % 209.18/209.57 => 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)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I15_J,axiom, % 209.18/209.57 ! [V_l_2,V_k_2] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2))) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_less__int__code_I14_J,axiom, % 209.18/209.57 ! [V_k2_2,V_k1_2] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2))) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I33_J,axiom, % 209.18/209.57 ! [V_l_2,V_k_2] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2))) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_less__eq__int__code_I15_J,axiom, % 209.18/209.57 ! [V_k2_2,V_k1_2] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2))) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_card__UNIV__bool,axiom, % 209.18/209.57 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))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_mult__Bit1,axiom, % 209.18/209.57 ! [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) ). % 209.18/209.57 % 209.18/209.57 fof(fact_diff__bin__simps_I8_J,axiom, % 209.18/209.57 ! [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)) ). % 209.18/209.57 % 209.18/209.57 fof(fact_add__Bit1__Bit1,axiom, % 209.18/209.57 ! [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))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_power__number__of__even,axiom, % 209.18/209.57 ! [V_w_2,V_z_2,T_b] : % 209.18/209.57 ( class_Int_Onumber__ring(T_b) % 209.18/209.57 => 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))) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_zpower__number__of__even,axiom, % 209.18/209.57 ! [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))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_double__number__of__Bit0,axiom, % 209.18/209.57 ! [V_w,T_a] : % 209.18/209.57 ( class_Int_Onumber__ring(T_a) % 209.18/209.57 => 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)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_number__of1,axiom, % 209.18/209.57 ! [V_n] : % 209.18/209.57 ( 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))) % 209.18/209.57 => ( 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)))) % 209.18/209.57 & 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)))) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom, % 209.18/209.57 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_power__number__of__even__number__of,axiom, % 209.18/209.57 ! [V_w_2,V_v_2,T_b] : % 209.18/209.57 ( class_Int_Onumber__ring(T_b) % 209.18/209.57 => 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))) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_max__Suc1,axiom, % 209.18/209.57 ! [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) ). % 209.18/209.57 % 209.18/209.57 fof(fact_max__Suc2,axiom, % 209.18/209.57 ! [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) ). % 209.18/209.57 % 209.18/209.57 fof(fact_mult__2,axiom, % 209.18/209.57 ! [V_z,T_a] : % 209.18/209.57 ( class_Int_Onumber__ring(T_a) % 209.18/209.57 => 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) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_mult__2__right,axiom, % 209.18/209.57 ! [V_z,T_a] : % 209.18/209.57 ( class_Int_Onumber__ring(T_a) % 209.18/209.57 => 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) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_one__add__one__is__two,axiom, % 209.18/209.57 ! [T_a] : % 209.18/209.57 ( class_Int_Onumber__ring(T_a) % 209.18/209.57 => 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))) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_zero__eq__power2,axiom, % 209.18/209.57 ! [V_a_2,T_b] : % 209.18/209.57 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 209.18/209.57 => ( 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) % 209.18/209.57 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_zero__power2,axiom, % 209.18/209.57 ! [T_a] : % 209.18/209.57 ( class_Rings_Osemiring__1(T_a) % 209.18/209.57 => 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) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_semiring__norm_I115_J,axiom, % 209.18/209.57 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))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_numeral__2__eq__2,axiom, % 209.18/209.57 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))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_power2__eq__square,axiom, % 209.18/209.57 ! [V_a,T_a] : % 209.18/209.57 ( class_Groups_Omonoid__mult(T_a) % 209.18/209.57 => 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) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom, % 209.18/209.57 ! [V_x,T_a] : % 209.18/209.57 ( class_Rings_Ocomm__semiring__1(T_a) % 209.18/209.57 => 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)))) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom, % 209.18/209.57 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))))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_add__2__eq__Suc_H,axiom, % 209.18/209.57 ! [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)) ). % 209.18/209.57 % 209.18/209.57 fof(fact_add__2__eq__Suc,axiom, % 209.18/209.57 ! [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)) ). % 209.18/209.57 % 209.18/209.57 fof(fact_one__power2,axiom, % 209.18/209.57 ! [T_a] : % 209.18/209.57 ( class_Rings_Osemiring__1(T_a) % 209.18/209.57 => 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) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_power2__minus,axiom, % 209.18/209.57 ! [V_a,T_a] : % 209.18/209.57 ( class_Rings_Oring__1(T_a) % 209.18/209.57 => 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)))) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_nat__mult__2,axiom, % 209.18/209.57 ! [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) ). % 209.18/209.57 % 209.18/209.57 fof(fact_nat__mult__2__right,axiom, % 209.18/209.57 ! [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) ). % 209.18/209.57 % 209.18/209.57 fof(fact_power__even__eq,axiom, % 209.18/209.57 ! [V_n,V_a,T_a] : % 209.18/209.57 ( class_Groups_Omonoid__mult(T_a) % 209.18/209.57 => 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)))) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_transfer__int__nat__numerals_I3_J,axiom, % 209.18/209.57 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)))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_transfer__nat__int__numerals_I3_J,axiom, % 209.18/209.57 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)))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_nat__1__add__1,axiom, % 209.18/209.57 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))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_mod2__Suc__Suc,axiom, % 209.18/209.57 ! [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)))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_div2__Suc__Suc,axiom, % 209.18/209.57 ! [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))))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_zmod__number__of__Bit0,axiom, % 209.18/209.57 ! [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))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_add__self__div__2,axiom, % 209.18/209.57 ! [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 ). % 209.18/209.57 % 209.18/209.57 fof(fact_less__eq__nat_Osimps_I2_J,axiom, % 209.18/209.57 ! [V_n_2,V_m_2] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2)) % 209.18/209.57 <=> 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)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_half__gt__zero__iff,axiom, % 209.18/209.57 ! [V_r_2,T_b] : % 209.18/209.57 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 209.18/209.57 & class_Int_Onumber__ring(T_b) ) % 209.18/209.57 => ( 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)))))) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_r_2)) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_half__gt__zero,axiom, % 209.18/209.57 ! [V_r,T_a] : % 209.18/209.57 ( ( class_Fields_Olinordered__field__inverse__zero(T_a) % 209.18/209.57 & class_Int_Onumber__ring(T_a) ) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r)) % 209.18/209.57 => 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)))))) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_diff__Suc,axiom, % 209.18/209.57 ! [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)) ). % 209.18/209.57 % 209.18/209.57 fof(fact_zero__le__power2,axiom, % 209.18/209.57 ! [V_a,T_a] : % 209.18/209.57 ( class_Rings_Olinordered__idom(T_a) % 209.18/209.57 => 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)))))) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_power2__le__imp__le,axiom, % 209.18/209.57 ! [V_y,V_x,T_a] : % 209.18/209.57 ( class_Rings_Olinordered__semidom(T_a) % 209.18/209.57 => ( 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)))))) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 209.18/209.57 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_power2__eq__imp__eq,axiom, % 209.18/209.57 ! [V_y,V_x,T_a] : % 209.18/209.57 ( class_Rings_Olinordered__semidom(T_a) % 209.18/209.57 => ( 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)))) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 209.18/209.57 => V_x = V_y ) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_zero__less__power2,axiom, % 209.18/209.57 ! [V_a_2,T_b] : % 209.18/209.57 ( class_Rings_Olinordered__idom(T_b) % 209.18/209.57 => ( 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)))))) % 209.18/209.57 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_power2__less__0,axiom, % 209.18/209.57 ! [V_a,T_a] : % 209.18/209.57 ( class_Rings_Olinordered__idom(T_a) % 209.18/209.57 => ~ 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))) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_sum__power2__eq__zero__iff,axiom, % 209.18/209.57 ! [V_y_2,V_x_2,T_b] : % 209.18/209.57 ( class_Rings_Olinordered__idom(T_b) % 209.18/209.57 => ( 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) % 209.18/209.57 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 209.18/209.57 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_power2__eq__square__number__of,axiom, % 209.18/209.57 ! [V_w,T_b] : % 209.18/209.57 ( ( class_Groups_Omonoid__mult(T_b) % 209.18/209.57 & class_Int_Onumber(T_b) ) % 209.18/209.57 => 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)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_less__2__cases,axiom, % 209.18/209.57 ! [V_n] : % 209.18/209.57 ( 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))))) % 209.18/209.57 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.18/209.57 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_nat__2,axiom, % 209.18/209.57 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))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_power2__eq__1__iff,axiom, % 209.18/209.57 ! [V_a_2,T_b] : % 209.18/209.57 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 209.18/209.57 => ( 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) % 209.18/209.57 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_b) % 209.18/209.57 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom, % 209.18/209.57 ! [V_n,V_x,T_a] : % 209.18/209.57 ( class_Rings_Ocomm__semiring__1(T_a) % 209.18/209.57 => 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)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_power__minus__even,axiom, % 209.18/209.57 ! [V_n,V_a,T_a] : % 209.18/209.57 ( class_Rings_Oring__1(T_a) % 209.18/209.57 => 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)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_min__Suc1,axiom, % 209.18/209.57 ! [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) ). % 209.18/209.57 % 209.18/209.57 fof(fact_min__Suc2,axiom, % 209.18/209.57 ! [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) ). % 209.18/209.57 % 209.18/209.57 fof(fact_power2__less__imp__less,axiom, % 209.18/209.57 ! [V_y,V_x,T_a] : % 209.18/209.57 ( class_Rings_Olinordered__semidom(T_a) % 209.18/209.57 => ( 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)))))) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 209.18/209.57 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_sum__power2__ge__zero,axiom, % 209.18/209.57 ! [V_y,V_x,T_a] : % 209.18/209.57 ( class_Rings_Olinordered__idom(T_a) % 209.18/209.57 => 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))))))) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_sum__power2__le__zero__iff,axiom, % 209.18/209.57 ! [V_y_2,V_x_2,T_b] : % 209.18/209.57 ( class_Rings_Olinordered__idom(T_b) % 209.18/209.57 => ( 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))) % 209.18/209.57 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 209.18/209.57 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_sum__power2__gt__zero__iff,axiom, % 209.18/209.57 ! [V_y_2,V_x_2,T_b] : % 209.18/209.57 ( class_Rings_Olinordered__idom(T_b) % 209.18/209.57 => ( 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))))))) % 209.18/209.57 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b) % 209.18/209.57 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_not__sum__power2__lt__zero,axiom, % 209.18/209.57 ! [V_y,V_x,T_a] : % 209.18/209.57 ( class_Rings_Olinordered__idom(T_a) % 209.18/209.57 => ~ 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))) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_power2__sum,axiom, % 209.18/209.57 ! [V_y,V_x,T_a] : % 209.18/209.57 ( class_Int_Onumber__ring(T_a) % 209.18/209.57 => 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)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_zero__le__even__power_H,axiom, % 209.18/209.57 ! [V_n,V_a,T_a] : % 209.18/209.57 ( class_Rings_Olinordered__idom(T_a) % 209.18/209.57 => 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)))) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_power__odd__eq,axiom, % 209.18/209.57 ! [V_n,V_a,T_a] : % 209.18/209.57 ( class_Groups_Omonoid__mult(T_a) % 209.18/209.57 => 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))))) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom, % 209.18/209.57 ! [V_n,V_x,T_a] : % 209.18/209.57 ( class_Rings_Ocomm__semiring__1(T_a) % 209.18/209.57 => 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))) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_power__minus1__even,axiom, % 209.18/209.57 ! [V_n,T_a] : % 209.18/209.57 ( class_Rings_Oring__1(T_a) % 209.18/209.57 => 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) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_zdiv__number__of__Bit1,axiom, % 209.18/209.57 ! [V_v,V_w] : % 209.18/209.57 ( ( 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))) % 209.18/209.57 => 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)) ) % 209.18/209.57 & ( ~ 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))) % 209.18/209.57 => 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)) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_mod2__gr__0,axiom, % 209.18/209.57 ! [V_m_2] : % 209.18/209.57 ( 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)))))) % 209.18/209.57 <=> 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) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_div__2__gt__zero,axiom, % 209.18/209.57 ! [V_n] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)) % 209.18/209.57 => 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)))))) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_power2__diff,axiom, % 209.18/209.57 ! [V_y,V_x,T_a] : % 209.18/209.57 ( class_Int_Onumber__ring(T_a) % 209.18/209.57 => 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)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_odd__0__le__power__imp__0__le,axiom, % 209.18/209.57 ! [V_n,V_a,T_a] : % 209.18/209.57 ( class_Rings_Olinordered__idom(T_a) % 209.18/209.57 => ( 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))))) % 209.18/209.57 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_odd__power__less__zero,axiom, % 209.18/209.57 ! [V_n,V_a,T_a] : % 209.18/209.57 ( class_Rings_Olinordered__idom(T_a) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 209.18/209.57 => 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))) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_power__minus1__odd,axiom, % 209.18/209.57 ! [V_n,T_a] : % 209.18/209.57 ( class_Rings_Oring__1(T_a) % 209.18/209.57 => 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)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_Suc__n__div__2__gt__zero,axiom, % 209.18/209.57 ! [V_n] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 209.18/209.57 => 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)))))) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_of__nat__double,axiom, % 209.18/209.57 ! [V_x,T_a] : % 209.18/209.57 ( class_Rings_Osemiring__1(T_a) % 209.18/209.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 209.18/209.57 => 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))) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_pos__zmod__mult__2,axiom, % 209.18/209.57 ! [V_b,V_a] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 209.18/209.57 => 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))) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_pos__zdiv__mult__2,axiom, % 209.18/209.57 ! [V_b,V_a] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 209.18/209.57 => 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) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_neg__zdiv__mult__2,axiom, % 209.18/209.57 ! [V_b,V_a] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.57 => 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) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_arith__series__int,axiom, % 209.18/209.57 ! [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)))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_neg__zmod__mult__2,axiom, % 209.18/209.57 ! [V_b,V_a] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.57 => 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)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_zmod__number__of__Bit1,axiom, % 209.18/209.57 ! [V_v,V_w] : % 209.18/209.57 ( ( 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))) % 209.18/209.57 => 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)) ) % 209.18/209.57 & ( ~ 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))) % 209.18/209.57 => 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)) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_adjust__eq,axiom, % 209.18/209.57 ! [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))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_adjust__def,axiom, % 209.18/209.57 ! [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))))))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_posDivAlg__eqn__1__number__of,axiom, % 209.18/209.57 ! [V_w] : % 209.18/209.57 ( 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))) % 209.18/209.57 => ( ( 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))) % 209.18/209.57 => 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)) ) % 209.18/209.57 & ( ~ 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))) % 209.18/209.57 => 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)))) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_posDivAlg__eqn,axiom, % 209.18/209.57 ! [V_a,V_b] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 209.18/209.57 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 209.18/209.57 => 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) ) % 209.18/209.57 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 209.18/209.57 => 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))) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_posDivAlg__eqn__number__of,axiom, % 209.18/209.57 ! [V_w,V_v] : % 209.18/209.57 ( 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))) % 209.18/209.57 => ( ( 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))) % 209.18/209.57 => 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)) ) % 209.18/209.57 & ( ~ 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))) % 209.18/209.57 => 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)))) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_posDivAlg_Osimps,axiom, % 209.18/209.57 ! [V_b,V_a] : % 209.18/209.57 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 209.18/209.57 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 209.18/209.57 => 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) ) % 209.18/209.57 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 209.18/209.57 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 209.18/209.57 => 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))) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_posDivAlg_Opsimps,axiom, % 209.18/209.57 ! [V_ba_2,V_a_2] : % 209.18/209.57 ( 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))) % 209.18/209.57 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_ba_2)) % 209.18/209.57 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_ba_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 209.18/209.57 => 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) ) % 209.18/209.57 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_ba_2)) % 209.18/209.57 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_ba_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 209.18/209.57 => 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))) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_negDivAlg__eqn__1__number__of,axiom, % 209.18/209.57 ! [V_w] : % 209.18/209.57 ( 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))) % 209.18/209.57 => ( ( 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)))) % 209.18/209.57 => 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))) ) % 209.18/209.57 & ( ~ 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)))) % 209.18/209.57 => 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)))) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_negDivAlg__eqn,axiom, % 209.18/209.57 ! [V_a,V_b] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 209.18/209.57 => ( ( 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))) % 209.18/209.57 => 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)) ) % 209.18/209.57 & ( ~ 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))) % 209.18/209.57 => 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))) ) ) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I40_J,axiom, % 209.18/209.57 c_Int_OMin != c_Int_OPls ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I37_J,axiom, % 209.18/209.57 c_Int_OPls != c_Int_OMin ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I7_J,axiom, % 209.18/209.57 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I24_J,axiom, % 209.18/209.57 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ). % 209.18/209.57 % 209.18/209.57 fof(fact_Bit1__Min,axiom, % 209.18/209.57 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I43_J,axiom, % 209.18/209.57 ! [V_l_2] : % 209.18/209.57 ( c_Int_OMin = c_Int_OBit1(V_l_2) % 209.18/209.57 <=> c_Int_OMin = V_l_2 ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I47_J,axiom, % 209.18/209.57 ! [V_k_2] : % 209.18/209.57 ( c_Int_OBit1(V_k_2) = c_Int_OMin % 209.18/209.57 <=> V_k_2 = c_Int_OMin ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I42_J,axiom, % 209.18/209.57 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I45_J,axiom, % 209.18/209.57 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ). % 209.18/209.57 % 209.18/209.57 fof(fact_bin__less__0__simps_I2_J,axiom, % 209.18/209.57 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I20_J,axiom, % 209.18/209.57 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I23_J,axiom, % 209.18/209.57 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I30_J,axiom, % 209.18/209.57 ! [V_k_2] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin)) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I26_J,axiom, % 209.18/209.57 ! [V_k_2] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2))) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I6_J,axiom, % 209.18/209.57 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I3_J,axiom, % 209.18/209.57 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I9_J,axiom, % 209.18/209.57 ! [V_k_2] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2))) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I13_J,axiom, % 209.18/209.57 ! [V_k_2] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin)) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I28_J,axiom, % 209.18/209.57 ! [V_k_2] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin)) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_rel__simps_I8_J,axiom, % 209.18/209.57 ! [V_k_2] : % 209.18/209.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2))) % 209.18/209.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 209.18/209.57 % 209.18/209.57 fof(fact_eq__number__of__Pls__Min,axiom, % 209.18/209.57 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) ). % 209.18/209.57 % 209.18/209.57 fof(fact_Int_OMin__def,axiom, % 209.18/209.57 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 209.18/209.57 % 209.18/209.57 fof(fact_mult__Min,axiom, % 209.18/209.57 ! [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) ). % 209.18/209.57 % 209.18/209.57 fof(fact_neg__number__of__Min,axiom, % 209.18/209.57 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ). % 209.18/209.57 % 209.18/209.57 fof(fact_pred__Pls,axiom, % 209.18/209.57 c_Int_Opred(c_Int_OPls) = c_Int_OMin ). % 209.18/209.57 % 209.18/209.57 fof(fact_add__Min,axiom, % 209.18/209.57 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ). % 209.18/209.57 % 209.18/209.57 fof(fact_add__Min__right,axiom, % 209.18/209.57 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ). % 209.18/209.58 % 209.18/209.58 fof(fact_pred__Min,axiom, % 209.18/209.58 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ). % 209.18/209.58 % 209.18/209.58 fof(fact_succ__Min,axiom, % 209.18/209.58 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ). % 209.18/209.58 % 209.18/209.58 fof(fact_diff__bin__simps_I2_J,axiom, % 209.18/209.58 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ). % 209.18/209.58 % 209.18/209.58 fof(fact_mult__minus1__right,axiom, % 209.18/209.58 ! [V_z,T_a] : % 209.18/209.58 ( class_Int_Onumber__ring(T_a) % 209.18/209.58 => 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) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_mult__minus1,axiom, % 209.18/209.58 ! [V_z,T_a] : % 209.18/209.58 ( class_Int_Onumber__ring(T_a) % 209.18/209.58 => 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) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_arith__simps_I31_J,axiom, % 209.18/209.58 ! [T_a] : % 209.18/209.58 ( class_Int_Onumber__ring(T_a) % 209.18/209.58 => 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) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_number__of__Min,axiom, % 209.18/209.58 ! [T_a] : % 209.18/209.58 ( class_Int_Onumber__ring(T_a) % 209.18/209.58 => 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)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_divide__minus1,axiom, % 209.18/209.58 ! [V_x,T_a] : % 209.18/209.58 ( ( class_Fields_Ofield__inverse__zero(T_a) % 209.18/209.58 & class_Int_Onumber__ring(T_a) ) % 209.18/209.58 => 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) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_rel__simps_I25_J,axiom, % 209.18/209.58 ! [V_k_2] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2))) % 209.18/209.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_rel__simps_I11_J,axiom, % 209.18/209.58 ! [V_k_2] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin)) % 209.18/209.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_zmod__minus1__right,axiom, % 209.18/209.58 ! [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) ). % 209.18/209.58 % 209.18/209.58 fof(fact_diff__bin__simps_I4_J,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_minus__Min,axiom, % 209.18/209.58 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ). % 209.18/209.58 % 209.18/209.58 fof(fact_zmult__eq__1__iff,axiom, % 209.18/209.58 ! [V_n_2,V_m_2] : % 209.18/209.58 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 209.18/209.58 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) % 209.18/209.58 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) % 209.18/209.58 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) % 209.18/209.58 & V_n_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_pos__zmult__eq__1__iff__lemma,axiom, % 209.18/209.58 ! [V_n,V_m] : % 209.18/209.58 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 209.18/209.58 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint) % 209.18/209.58 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_diff__bin__simps_I5_J,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_diff__bin__simps_I6_J,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_of__int__m1,axiom, % 209.18/209.58 ! [T_a] : % 209.18/209.58 ( class_Int_Onumber__ring(T_a) % 209.18/209.58 => 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) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_zdiv__minus1__right,axiom, % 209.18/209.58 ! [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) ). % 209.18/209.58 % 209.18/209.58 fof(fact_minus1__divide,axiom, % 209.18/209.58 ! [V_x,T_a] : % 209.18/209.58 ( ( class_Fields_Ofield__inverse__zero(T_a) % 209.18/209.58 & class_Int_Onumber__ring(T_a) ) % 209.18/209.58 => 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)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_div__eq__minus1,axiom, % 209.18/209.58 ! [V_b] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 209.18/209.58 => 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) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_negDivAlg__minus1,axiom, % 209.18/209.58 ! [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))) ). % 209.18/209.58 % 209.18/209.58 fof(fact_div__pos__neg__trivial,axiom, % 209.18/209.58 ! [V_b,V_a] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 209.18/209.58 => ( 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))) % 209.18/209.58 => 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) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_zmod__minus1,axiom, % 209.18/209.58 ! [V_b] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 209.18/209.58 => 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)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_power__m1__even,axiom, % 209.18/209.58 ! [V_n,T_a] : % 209.18/209.58 ( class_Int_Onumber__ring(T_a) % 209.18/209.58 => 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) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_power__m1__odd,axiom, % 209.18/209.58 ! [V_n,T_a] : % 209.18/209.58 ( class_Int_Onumber__ring(T_a) % 209.18/209.58 => 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) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_negDivAlg_Osimps,axiom, % 209.18/209.58 ! [V_b,V_a] : % 209.18/209.58 ( ( ( 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))) % 209.18/209.58 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 209.18/209.58 => 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)) ) % 209.18/209.58 & ( ~ ( 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))) % 209.18/209.58 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 209.18/209.58 => 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))) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_negDivAlg__eqn__number__of,axiom, % 209.18/209.58 ! [V_w,V_v] : % 209.18/209.58 ( 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))) % 209.18/209.58 => ( ( 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)))) % 209.18/209.58 => 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))) ) % 209.18/209.58 & ( ~ 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)))) % 209.18/209.58 => 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)))) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_negDivAlg_Opsimps,axiom, % 209.18/209.58 ! [V_ba_2,V_a_2] : % 209.18/209.58 ( 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))) % 209.18/209.58 => ( ( ( 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))) % 209.18/209.58 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_ba_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 209.18/209.58 => 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)) ) % 209.18/209.58 & ( ~ ( 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))) % 209.18/209.58 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_ba_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 209.18/209.58 => 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))) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_posDivAlg_Opinduct,axiom, % 209.18/209.58 ! [V_Pa_2,V_a1_2,V_a0_2] : % 209.18/209.58 ( 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))) % 209.18/209.58 => ( ! [B_a,B_b] : % 209.18/209.58 ( 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))) % 209.18/209.58 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b)) % 209.18/209.58 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 209.18/209.58 => 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))) ) % 209.18/209.58 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) % 209.18/209.58 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_nat__rec__add__eq__if,axiom, % 209.18/209.58 ! [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))))) ). % 209.18/209.58 % 209.18/209.58 fof(fact_nat__rec__0,axiom, % 209.18/209.58 ! [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 ). % 209.18/209.58 % 209.18/209.58 fof(fact_nat__rec__Suc,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_nat__rec__number__of,axiom, % 209.18/209.58 ! [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)))) ). % 209.18/209.58 % 209.18/209.58 fof(fact_negDivAlg_Opinduct,axiom, % 209.18/209.58 ! [V_Pa_2,V_a1_2,V_a0_2] : % 209.18/209.58 ( 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))) % 209.18/209.58 => ( ! [B_a,B_b] : % 209.18/209.58 ( 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))) % 209.18/209.58 => ( ( ~ ( 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))) % 209.18/209.58 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 209.18/209.58 => 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))) ) % 209.18/209.58 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) % 209.18/209.58 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_eq__special_I2_J,axiom, % 209.18/209.58 ! [V_y_2,T_b] : % 209.18/209.58 ( class_Int_Onumber__ring(T_b) % 209.18/209.58 => ( c_Groups_Oone__class_Oone(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 209.18/209.58 <=> 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)))) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_eq__special_I4_J,axiom, % 209.18/209.58 ! [V_x_2,T_b] : % 209.18/209.58 ( class_Int_Onumber__ring(T_b) % 209.18/209.58 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Oone__class_Oone(T_b) % 209.18/209.58 <=> 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))))) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_iszero__def,axiom, % 209.18/209.58 ! [V_z_2,T_b] : % 209.18/209.58 ( class_Rings_Osemiring__1(T_b) % 209.18/209.58 => ( c_Int_Oiszero(T_b,V_z_2) % 209.18/209.58 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_iszero__0,axiom, % 209.18/209.58 ! [T_a] : % 209.18/209.58 ( class_Rings_Osemiring__1(T_a) % 209.18/209.58 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_not__iszero__1,axiom, % 209.18/209.58 ! [T_a] : % 209.18/209.58 ( class_Rings_Osemiring__1(T_a) % 209.18/209.58 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_iszero__Numeral0,axiom, % 209.18/209.58 ! [T_a] : % 209.18/209.58 ( class_Int_Onumber__ring(T_a) % 209.18/209.58 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_iszero__number__of__Bit1,axiom, % 209.18/209.58 ! [V_w,T_a] : % 209.18/209.58 ( ( class_Int_Onumber__ring(T_a) % 209.18/209.58 & class_Int_Oring__char__0(T_a) ) % 209.18/209.58 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_iszero__number__of__Bit0,axiom, % 209.18/209.58 ! [V_w_2,T_b] : % 209.18/209.58 ( ( class_Int_Onumber__ring(T_b) % 209.18/209.58 & class_Int_Oring__char__0(T_b) ) % 209.18/209.58 => ( c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(V_w_2))) % 209.18/209.58 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_nonzero__number__of__Min,axiom, % 209.18/209.58 ! [T_a] : % 209.18/209.58 ( class_Int_Onumber__ring(T_a) % 209.18/209.58 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_not__iszero__Numeral1,axiom, % 209.18/209.58 ! [T_a] : % 209.18/209.58 ( class_Int_Onumber__ring(T_a) % 209.18/209.58 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_eq__number__of__eq,axiom, % 209.18/209.58 ! [V_y_2,V_x_2,T_b] : % 209.18/209.58 ( class_Int_Onumber__ring(T_b) % 209.18/209.58 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 209.18/209.58 <=> 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)))) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_eq__special_I3_J,axiom, % 209.18/209.58 ! [V_x_2,T_b] : % 209.18/209.58 ( class_Int_Onumber__ring(T_b) % 209.18/209.58 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Ozero__class_Ozero(T_b) % 209.18/209.58 <=> 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)))) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_eq__special_I1_J,axiom, % 209.18/209.58 ! [V_y_2,T_b] : % 209.18/209.58 ( class_Int_Onumber__ring(T_b) % 209.18/209.58 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 209.18/209.58 <=> 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)))) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_int__of__code,axiom, % 209.18/209.58 ! [V_k] : % 209.18/209.58 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 209.18/209.58 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 209.18/209.58 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 209.18/209.58 => ( ( 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) % 209.18/209.58 => 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)))))) ) % 209.18/209.58 & ( 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) % 209.18/209.58 => 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)) ) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Nats__number__of,axiom, % 209.18/209.58 ! [V_w_2,T_b] : % 209.18/209.58 ( class_Int_Onumber__ring(T_b) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2)) % 209.18/209.58 => 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))) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_one__code__numeral__code,axiom, % 209.18/209.58 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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_code__numeral__zero__minus__one,axiom, % 209.18/209.58 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) ). % 209.18/209.58 % 209.18/209.58 fof(fact_zero__code__numeral__code,axiom, % 209.18/209.58 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) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Nats__0,axiom, % 209.18/209.58 ! [T_b] : % 209.18/209.58 ( class_Rings_Osemiring__1(T_b) % 209.18/209.58 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Nats__add,axiom, % 209.18/209.58 ! [V_ba_2,V_a_2,T_b] : % 209.18/209.58 ( class_Rings_Osemiring__1(T_b) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 209.18/209.58 => 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))) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Nats__mult,axiom, % 209.18/209.58 ! [V_ba_2,V_a_2,T_b] : % 209.18/209.58 ( class_Rings_Osemiring__1(T_b) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 209.18/209.58 => 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))) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Nats__1,axiom, % 209.18/209.58 ! [T_b] : % 209.18/209.58 ( class_Rings_Osemiring__1(T_b) % 209.18/209.58 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_of__nat__in__Nats,axiom, % 209.18/209.58 ! [V_n_2,T_b] : % 209.18/209.58 ( class_Rings_Osemiring__1(T_b) % 209.18/209.58 => 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))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_div__mod__code__numeral__def,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_nat__of__aux__code,axiom, % 209.18/209.58 ! [V_n,V_i] : % 209.18/209.58 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 209.18/209.58 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n ) % 209.18/209.58 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 209.18/209.58 => 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)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_code__numeral_Osize_I1_J,axiom, % 209.18/209.58 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) ). % 209.18/209.58 % 209.18/209.58 fof(fact_code__numeral_Osize_I2_J,axiom, % 209.18/209.58 ! [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))) ). % 209.18/209.58 % 209.18/209.58 fof(fact_setsum__nonneg__0,axiom, % 209.18/209.58 ! [V_i_2,V_f_2,V_s_2,T_b,T_c] : % 209.18/209.58 ( class_Groups_Oordered__ab__group__add(T_c) % 209.18/209.58 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 209.18/209.58 => ( ! [B_i] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2)) % 209.18/209.58 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) ) % 209.18/209.58 => ( 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) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2)) % 209.18/209.58 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_greaterThan__0,axiom, % 209.18/209.58 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))) ). % 209.18/209.58 % 209.18/209.58 fof(fact_greaterThan__eq__iff,axiom, % 209.18/209.58 ! [V_y_2,V_x_2,T_b] : % 209.18/209.58 ( class_Orderings_Olinorder(T_b) % 209.18/209.58 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2) % 209.18/209.58 <=> V_x_2 = V_y_2 ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_code__numeral_Oinject,axiom, % 209.18/209.58 ! [V_code__numeral_H_2,V_code__numeral_2] : % 209.18/209.58 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2) % 209.18/209.58 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_code__numeral_Osimps_I2_J,axiom, % 209.18/209.58 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ). % 209.18/209.58 % 209.18/209.58 fof(fact_code__numeral_Osimps_I3_J,axiom, % 209.18/209.58 ! [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) ). % 209.18/209.58 % 209.18/209.58 fof(fact_greaterThan__iff,axiom, % 209.18/209.58 ! [V_k_2,V_i_2,T_b] : % 209.18/209.58 ( class_Orderings_Oord(T_b) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2))) % 209.18/209.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_i_2)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_greaterThan__subset__iff,axiom, % 209.18/209.58 ! [V_y_2,V_x_2,T_b] : % 209.18/209.58 ( class_Orderings_Olinorder(T_b) % 209.18/209.58 => ( 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))) % 209.18/209.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Suc__code__numeral__minus__one,axiom, % 209.18/209.58 ! [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 ). % 209.18/209.58 % 209.18/209.58 fof(fact_ivl__disj__un_I11_J,axiom, % 209.18/209.58 ! [V_u_2,V_l_2,T_b] : % 209.18/209.58 ( class_Orderings_Olinorder(T_b) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 209.18/209.58 => 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) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_image__uminus__lessThan,axiom, % 209.18/209.58 ! [V_x_2,T_b] : % 209.18/209.58 ( class_Groups_Oordered__ab__group__add(T_b) % 209.18/209.58 => 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)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_image__uminus__greaterThan,axiom, % 209.18/209.58 ! [V_x_2,T_b] : % 209.18/209.58 ( class_Groups_Oordered__ab__group__add(T_b) % 209.18/209.58 => 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)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_ivl__disj__int_I5_J,axiom, % 209.18/209.58 ! [V_u_2,V_l_2,T_b] : % 209.18/209.58 ( class_Orderings_Oorder(T_b) % 209.18/209.58 => 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)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_greaterThan__Suc,axiom, % 209.18/209.58 ! [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)))) ). % 209.18/209.58 % 209.18/209.58 fof(fact_code__numeral_Osize_I4_J,axiom, % 209.18/209.58 ! [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))) ). % 209.18/209.58 % 209.18/209.58 fof(fact_sum__diff__distrib,axiom, % 209.18/209.58 ! [V_n_2,V_Pa_2,V_Q_2] : % 209.18/209.58 ( ! [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))) % 209.18/209.58 => 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)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_min__max_OSup__fin_Ohom__commute,axiom, % 209.18/209.58 ! [V_N_2,V_h_2,T_b] : % 209.18/209.58 ( class_Orderings_Olinorder(T_b) % 209.18/209.58 => ( ! [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)) % 209.18/209.58 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 209.18/209.58 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.58 => 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)) ) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_code__numeral_Osize_I3_J,axiom, % 209.18/209.58 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) ). % 209.18/209.58 % 209.18/209.58 fof(fact_atLeast__Suc,axiom, % 209.18/209.58 ! [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)))) ). % 209.18/209.58 % 209.18/209.58 fof(fact_min__max_OInf__fin_Ohom__commute,axiom, % 209.18/209.58 ! [V_N_2,V_h_2,T_b] : % 209.18/209.58 ( class_Orderings_Olinorder(T_b) % 209.18/209.58 => ( ! [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)) % 209.18/209.58 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 209.18/209.58 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.58 => 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)) ) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_setsum__natinterval__difff,axiom, % 209.18/209.58 ! [V_f_2,V_n_2,V_m_2,T_b] : % 209.18/209.58 ( class_Groups_Oab__group__add(T_b) % 209.18/209.58 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 209.18/209.58 => 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)))) ) % 209.18/209.58 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 209.18/209.58 => 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) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_finite__atLeastAtMost,axiom, % 209.18/209.58 ! [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))) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Int__atLeastAtMostL2,axiom, % 209.18/209.58 ! [V_ca_2,V_ba_2,V_a_2,T_b] : % 209.18/209.58 ( class_Orderings_Olinorder(T_b) % 209.18/209.58 => 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) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Int__atLeastAtMostR2,axiom, % 209.18/209.58 ! [V_d_2,V_ca_2,V_a_2,T_b] : % 209.18/209.58 ( class_Orderings_Olinorder(T_b) % 209.18/209.58 => 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) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_atLeast__eq__iff,axiom, % 209.18/209.58 ! [V_y_2,V_x_2,T_b] : % 209.18/209.58 ( class_Orderings_Olinorder(T_b) % 209.18/209.58 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2) % 209.18/209.58 <=> V_x_2 = V_y_2 ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_ivl__disj__un_I13_J,axiom, % 209.18/209.58 ! [V_u_2,V_l_2,T_b] : % 209.18/209.58 ( class_Orderings_Olinorder(T_b) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 209.18/209.58 => 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) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_all__nat__less,axiom, % 209.18/209.58 ! [V_Pa_2,V_n_2] : % 209.18/209.58 ( ! [B_m] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2)) % 209.18/209.58 => hBOOL(hAPP(V_Pa_2,B_m)) ) % 209.18/209.58 <=> ! [B_x] : % 209.18/209.58 ( 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))) % 209.18/209.58 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_ex__nat__less,axiom, % 209.18/209.58 ! [V_Pa_2,V_n_2] : % 209.18/209.58 ( ? [B_m] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2)) % 209.18/209.58 & hBOOL(hAPP(V_Pa_2,B_m)) ) % 209.18/209.58 <=> ? [B_x] : % 209.18/209.58 ( 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))) % 209.18/209.58 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom, % 209.18/209.58 ! [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) ). % 209.18/209.58 % 209.18/209.58 fof(fact_atLeastatMost__empty__iff2,axiom, % 209.18/209.58 ! [V_ba_2,V_a_2,T_b] : % 209.18/209.58 ( class_Orderings_Oorder(T_b) % 209.18/209.58 => ( 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) % 209.18/209.58 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_ba_2)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_atLeastatMost__empty__iff,axiom, % 209.18/209.58 ! [V_ba_2,V_a_2,T_b] : % 209.18/209.58 ( class_Orderings_Oorder(T_b) % 209.18/209.58 => ( 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)) % 209.18/209.58 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_ba_2)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_atLeastatMost__empty,axiom, % 209.18/209.58 ! [V_a_2,V_ba_2,T_b] : % 209.18/209.58 ( class_Orderings_Oorder(T_b) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),V_a_2)) % 209.18/209.58 => 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)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_atLeastatMost__subset__iff,axiom, % 209.18/209.58 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] : % 209.18/209.58 ( class_Orderings_Oorder(T_b) % 209.18/209.58 => ( 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))) % 209.18/209.58 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_ba_2)) % 209.18/209.58 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),V_a_2)) % 209.18/209.58 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),V_d_2)) ) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_atLeastAtMost__singleton,axiom, % 209.18/209.58 ! [V_a_2,T_b] : % 209.18/209.58 ( class_Orderings_Oorder(T_b) % 209.18/209.58 => 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))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_atLeastAtMost__singleton__iff,axiom, % 209.18/209.58 ! [V_ca_2,V_ba_2,V_a_2,T_b] : % 209.18/209.58 ( class_Orderings_Oorder(T_b) % 209.18/209.58 => ( 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))) % 209.18/209.58 <=> ( V_a_2 = V_ba_2 % 209.18/209.58 & V_ba_2 = V_ca_2 ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_atLeastAtMost__singleton_H,axiom, % 209.18/209.58 ! [V_ba_2,V_a_2,T_b] : % 209.18/209.58 ( class_Orderings_Oorder(T_b) % 209.18/209.58 => ( V_a_2 = V_ba_2 % 209.18/209.58 => 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))) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_image__uminus__atLeastAtMost,axiom, % 209.18/209.58 ! [V_y_2,V_x_2,T_b] : % 209.18/209.58 ( class_Groups_Oordered__ab__group__add(T_b) % 209.18/209.58 => 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)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_image__Suc__atLeastAtMost,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom, % 209.18/209.58 ! [V_n_2,V_m_2,V_f_2,T_b] : % 209.18/209.58 ( class_Groups_Ocomm__monoid__add(T_b) % 209.18/209.58 => 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)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom, % 209.18/209.58 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] : % 209.18/209.58 ( class_Groups_Ocomm__monoid__add(T_b) % 209.18/209.58 => 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)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom, % 209.18/209.58 ! [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) ). % 209.18/209.58 % 209.18/209.58 fof(fact_image__add__atLeastAtMost,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_atLeast__iff,axiom, % 209.18/209.58 ! [V_k_2,V_i_2,T_b] : % 209.18/209.58 ( class_Orderings_Oord(T_b) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2))) % 209.18/209.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_k_2),V_i_2)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_atLeast__subset__iff,axiom, % 209.18/209.58 ! [V_y_2,V_x_2,T_b] : % 209.18/209.58 ( class_Orderings_Oorder(T_b) % 209.18/209.58 => ( 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))) % 209.18/209.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_atLeast__0,axiom, % 209.18/209.58 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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_card__atLeastAtMost,axiom, % 209.18/209.58 ! [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) ). % 209.18/209.58 % 209.18/209.58 fof(fact_atLeastAtMostSuc__conv,axiom, % 209.18/209.58 ! [V_n_2,V_m_2] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2))) % 209.18/209.58 => 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)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Compl__lessThan,axiom, % 209.18/209.58 ! [V_k_2,T_b] : % 209.18/209.58 ( class_Orderings_Olinorder(T_b) % 209.18/209.58 => 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) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Compl__atLeast,axiom, % 209.18/209.58 ! [V_k_2,T_b] : % 209.18/209.58 ( class_Orderings_Olinorder(T_b) % 209.18/209.58 => 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) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_setsum__shift__lb__Suc0__0,axiom, % 209.18/209.58 ! [V_k_2,V_f_2] : % 209.18/209.58 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.18/209.58 => 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)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_atLeast__Suc__greaterThan,axiom, % 209.18/209.58 ! [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) ). % 209.18/209.58 % 209.18/209.58 fof(fact_ivl__disj__un_I21_J,axiom, % 209.18/209.58 ! [V_u_2,V_m_2,V_l_2,T_b] : % 209.18/209.58 ( class_Orderings_Olinorder(T_b) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 209.18/209.58 => 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) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_ivl__disj__int_I15_J,axiom, % 209.18/209.58 ! [V_u_2,V_m_2,V_l_2,T_b] : % 209.18/209.58 ( class_Orderings_Oorder(T_b) % 209.18/209.58 => 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)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Int__atLeastAtMost,axiom, % 209.18/209.58 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] : % 209.18/209.58 ( class_Orderings_Olinorder(T_b) % 209.18/209.58 => 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)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_atLeastatMost__psubset__iff,axiom, % 209.18/209.58 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,T_b] : % 209.18/209.58 ( class_Orderings_Oorder(T_b) % 209.18/209.58 => ( 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))) % 209.18/209.58 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_ba_2)) % 209.18/209.58 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),V_a_2)) % 209.18/209.58 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),V_d_2)) % 209.18/209.58 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),V_a_2)) % 209.18/209.58 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ba_2),V_d_2)) ) ) ) % 209.18/209.58 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),V_d_2)) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_ivl__disj__un_I22_J,axiom, % 209.18/209.58 ! [V_u_2,V_m_2,V_l_2,T_b] : % 209.18/209.58 ( class_Orderings_Olinorder(T_b) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 209.18/209.58 => 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) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_ivl__disj__int_I4_J,axiom, % 209.18/209.58 ! [V_u_2,V_l_2,T_b] : % 209.18/209.58 ( class_Orderings_Oorder(T_b) % 209.18/209.58 => 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)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_ivl__disj__int_I16_J,axiom, % 209.18/209.58 ! [V_u_2,V_m_2,V_l_2,T_b] : % 209.18/209.58 ( class_Orderings_Oorder(T_b) % 209.18/209.58 => 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)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_ivl__disj__int_I13_J,axiom, % 209.18/209.58 ! [V_u_2,V_m_2,V_l_2,T_b] : % 209.18/209.58 ( class_Orderings_Oorder(T_b) % 209.18/209.58 => 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)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_ivl__disj__int_I12_J,axiom, % 209.18/209.58 ! [V_u_2,V_m_2,V_l_2,T_b] : % 209.18/209.58 ( class_Orderings_Oorder(T_b) % 209.18/209.58 => 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)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_ivl__disj__int_I7_J,axiom, % 209.18/209.58 ! [V_u_2,V_l_2,T_b] : % 209.18/209.58 ( class_Orderings_Oorder(T_b) % 209.18/209.58 => 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)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_setsum__head__Suc,axiom, % 209.18/209.58 ! [V_f_2,V_n_2,V_m_2,T_b] : % 209.18/209.58 ( class_Groups_Ocomm__monoid__add(T_b) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 209.18/209.58 => 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))) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_ivl__disj__un_I14_J,axiom, % 209.18/209.58 ! [V_u_2,V_l_2,T_b] : % 209.18/209.58 ( class_Orderings_Olinorder(T_b) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 209.18/209.58 => 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) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_ivl__disj__int_I8_J,axiom, % 209.18/209.58 ! [V_u_2,V_l_2,T_b] : % 209.18/209.58 ( class_Orderings_Oorder(T_b) % 209.18/209.58 => 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)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_UN__atLeast__UNIV,axiom, % 209.18/209.58 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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_ivl__disj__int_I6_J,axiom, % 209.18/209.58 ! [V_u_2,V_l_2,T_b] : % 209.18/209.58 ( class_Orderings_Oorder(T_b) % 209.18/209.58 => 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)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_setsum__cl__ivl__Suc,axiom, % 209.18/209.58 ! [V_f_2,V_m_2,V_n_2,T_b] : % 209.18/209.58 ( class_Groups_Ocomm__monoid__add(T_b) % 209.18/209.58 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) % 209.18/209.58 => 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) ) % 209.18/209.58 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) % 209.18/209.58 => 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))) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_setsum__head,axiom, % 209.18/209.58 ! [V_Pa_2,V_n_2,V_m_2,T_b] : % 209.18/209.58 ( class_Groups_Ocomm__monoid__add(T_b) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 209.18/209.58 => 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))) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_setsum__ub__add__nat,axiom, % 209.18/209.58 ! [V_p_2,V_f_2,V_n_2,V_m_2,T_b] : % 209.18/209.58 ( class_Groups_Ocomm__monoid__add(T_b) % 209.18/209.58 => ( 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)))) % 209.18/209.58 => 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)))) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_ivl__disj__un_I6_J,axiom, % 209.18/209.58 ! [V_u_2,V_l_2,T_b] : % 209.18/209.58 ( class_Orderings_Olinorder(T_b) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 209.18/209.58 => 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) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_ivl__disj__un_I5_J,axiom, % 209.18/209.58 ! [V_u_2,V_l_2,T_b] : % 209.18/209.58 ( class_Orderings_Olinorder(T_b) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 209.18/209.58 => 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) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_ivl__disj__un_I18_J,axiom, % 209.18/209.58 ! [V_u_2,V_m_2,V_l_2,T_b] : % 209.18/209.58 ( class_Orderings_Olinorder(T_b) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2)) % 209.18/209.58 => 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) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_ivl__disj__un_I1_J,axiom, % 209.18/209.58 ! [V_l_2,T_b] : % 209.18/209.58 ( class_Orderings_Olinorder(T_b) % 209.18/209.58 => 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) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_ivl__disj__un_I19_J,axiom, % 209.18/209.58 ! [V_u_2,V_m_2,V_l_2,T_b] : % 209.18/209.58 ( class_Orderings_Olinorder(T_b) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2)) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 209.18/209.58 => 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) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_ivl__disj__un_I12_J,axiom, % 209.18/209.58 ! [V_u_2,V_l_2,T_b] : % 209.18/209.58 ( class_Orderings_Olinorder(T_b) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 209.18/209.58 => 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) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_gauss__sum,axiom, % 209.18/209.58 ! [V_n_2,T_b] : % 209.18/209.58 ( class_Rings_Ocomm__semiring__1(T_b) % 209.18/209.58 => 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))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_UN__le__eq__Un0,axiom, % 209.18/209.58 ! [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))) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Max_Ohom__commute,axiom, % 209.18/209.58 ! [V_N_2,V_h_2,T_b] : % 209.18/209.58 ( class_Orderings_Olinorder(T_b) % 209.18/209.58 => ( ! [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)) % 209.18/209.58 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 209.18/209.58 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.58 => 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)) ) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Min_Ohom__commute,axiom, % 209.18/209.58 ! [V_N_2,V_h_2,T_b] : % 209.18/209.58 ( class_Orderings_Olinorder(T_b) % 209.18/209.58 => ( ! [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)) % 209.18/209.58 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 209.18/209.58 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.58 => 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)) ) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_finite__atLeastAtMost__int,axiom, % 209.18/209.58 ! [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))) ). % 209.18/209.58 % 209.18/209.58 fof(fact_finite__atMost,axiom, % 209.18/209.58 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ). % 209.18/209.58 % 209.18/209.58 fof(fact_atMost__eq__iff,axiom, % 209.18/209.58 ! [V_y_2,V_x_2,T_b] : % 209.18/209.58 ( class_Orderings_Olinorder(T_b) % 209.18/209.58 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2) % 209.18/209.58 <=> V_x_2 = V_y_2 ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom, % 209.18/209.58 ! [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))) ). % 209.18/209.58 % 209.18/209.58 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom, % 209.18/209.58 ! [V_y_2,V_x_2] : % 209.18/209.58 ( c_Nat__Transfer_Ois__nat(V_x_2) % 209.18/209.58 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_atLeast0AtMost,axiom, % 209.18/209.58 ! [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) ). % 209.18/209.58 % 209.18/209.58 fof(fact_lessThan__Suc__atMost,axiom, % 209.18/209.58 ! [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) ). % 209.18/209.58 % 209.18/209.58 fof(fact_card__atMost,axiom, % 209.18/209.58 ! [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) ). % 209.18/209.58 % 209.18/209.58 fof(fact_atMost__Suc,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_atMost__iff,axiom, % 209.18/209.58 ! [V_k_2,V_i_2,T_b] : % 209.18/209.58 ( class_Orderings_Oord(T_b) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2))) % 209.18/209.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_k_2)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_atMost__subset__iff,axiom, % 209.18/209.58 ! [V_y_2,V_x_2,T_b] : % 209.18/209.58 ( class_Orderings_Oorder(T_b) % 209.18/209.58 => ( 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))) % 209.18/209.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom, % 209.18/209.58 ! [V_y_2,V_x_2] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 209.18/209.58 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom, % 209.18/209.58 ! [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) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Compl__atMost,axiom, % 209.18/209.58 ! [V_k_2,T_b] : % 209.18/209.58 ( class_Orderings_Olinorder(T_b) % 209.18/209.58 => 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) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Compl__greaterThan,axiom, % 209.18/209.58 ! [V_k_2,T_b] : % 209.18/209.58 ( class_Orderings_Olinorder(T_b) % 209.18/209.58 => 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) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom, % 209.18/209.58 ! [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) ). % 209.18/209.58 % 209.18/209.58 fof(fact_UN__atMost__UNIV,axiom, % 209.18/209.58 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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom, % 209.18/209.58 ! [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))) ). % 209.18/209.58 % 209.18/209.58 fof(fact_setsum__atMost__Suc,axiom, % 209.18/209.58 ! [V_n_2,V_f_2,T_b] : % 209.18/209.58 ( class_Groups_Ocomm__monoid__add(T_b) % 209.18/209.58 => 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))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_atMost__0,axiom, % 209.18/209.58 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))) ). % 209.18/209.58 % 209.18/209.58 fof(fact_simp__from__to,axiom, % 209.18/209.58 ! [V_i_2,V_j_2] : % 209.18/209.58 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2)) % 209.18/209.58 => 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)) ) % 209.18/209.58 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2)) % 209.18/209.58 => 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)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Int__atLeastAtMostR1,axiom, % 209.18/209.58 ! [V_d_2,V_ca_2,V_ba_2,T_b] : % 209.18/209.58 ( class_Orderings_Olinorder(T_b) % 209.18/209.58 => 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)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Int__atLeastAtMostL1,axiom, % 209.18/209.58 ! [V_d_2,V_ba_2,V_a_2,T_b] : % 209.18/209.58 ( class_Orderings_Olinorder(T_b) % 209.18/209.58 => 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)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_ivl__disj__un_I9_J,axiom, % 209.18/209.58 ! [V_u_2,V_l_2,T_b] : % 209.18/209.58 ( class_Orderings_Olinorder(T_b) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 209.18/209.58 => 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) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_UN__le__add__shift,axiom, % 209.18/209.58 ! [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) ). % 209.18/209.58 % 209.18/209.58 fof(fact_ivl__disj__int_I3_J,axiom, % 209.18/209.58 ! [V_u_2,V_l_2,T_b] : % 209.18/209.58 ( class_Orderings_Oorder(T_b) % 209.18/209.58 => 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)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_ivl__disj__int_I1_J,axiom, % 209.18/209.58 ! [V_u_2,V_l_2,T_b] : % 209.18/209.58 ( class_Orderings_Oorder(T_b) % 209.18/209.58 => 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)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_image__uminus__atMost,axiom, % 209.18/209.58 ! [V_x_2,T_b] : % 209.18/209.58 ( class_Groups_Oordered__ab__group__add(T_b) % 209.18/209.58 => 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)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_image__uminus__atLeast,axiom, % 209.18/209.58 ! [V_x_2,T_b] : % 209.18/209.58 ( class_Groups_Oordered__ab__group__add(T_b) % 209.18/209.58 => 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)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_card__atLeastAtMost__int,axiom, % 209.18/209.58 ! [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))) ). % 209.18/209.58 % 209.18/209.58 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom, % 209.18/209.58 ! [V_n_2,V_m_2] : % 209.18/209.58 ( c_Nat__Transfer_Ois__nat(V_m_2) % 209.18/209.58 => ( c_Nat__Transfer_Ois__nat(V_n_2) % 209.18/209.58 => 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))) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_ivl__disj__un_I2_J,axiom, % 209.18/209.58 ! [V_u_2,T_b] : % 209.18/209.58 ( class_Orderings_Olinorder(T_b) % 209.18/209.58 => 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) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_ivl__disj__un_I10_J,axiom, % 209.18/209.58 ! [V_u_2,V_l_2,T_b] : % 209.18/209.58 ( class_Orderings_Olinorder(T_b) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 209.18/209.58 => 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) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_atMost__Int__atLeast,axiom, % 209.18/209.58 ! [V_n_2,T_b] : % 209.18/209.58 ( class_Orderings_Oorder(T_b) % 209.18/209.58 => 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))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_ivl__disj__un_I7_J,axiom, % 209.18/209.58 ! [V_u_2,V_l_2,T_b] : % 209.18/209.58 ( class_Orderings_Olinorder(T_b) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 209.18/209.58 => 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) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_aset_I6_J,axiom, % 209.18/209.58 ! [V_A_2,V_t_2,V_D_2] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 209.18/209.58 => ( 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)) % 209.18/209.58 => ! [B_x] : % 209.18/209.58 ( ! [B_xa] : % 209.18/209.58 ( 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))) % 209.18/209.58 => ! [B_xb] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 209.18/209.58 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2)) % 209.18/209.58 => 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)) ) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_bset_I8_J,axiom, % 209.18/209.58 ! [V_B_2,V_t_2,V_D_2] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 209.18/209.58 => ( 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)) % 209.18/209.58 => ! [B_x] : % 209.18/209.58 ( ! [B_xa] : % 209.18/209.58 ( 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))) % 209.18/209.58 => ! [B_xb] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 209.18/209.58 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x)) % 209.18/209.58 => 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))) ) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_aset_I4_J,axiom, % 209.18/209.58 ! [V_A_2,V_t_2,V_D_2] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2)) % 209.18/209.58 => ! [B_x] : % 209.18/209.58 ( ! [B_xa] : % 209.18/209.58 ( 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))) % 209.18/209.58 => ! [B_xb] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 209.18/209.58 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 209.18/209.58 => ( B_x != V_t_2 % 209.18/209.58 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_bset_I3_J,axiom, % 209.18/209.58 ! [V_B_2,V_t_2,V_D_2] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 209.18/209.58 => ( 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)) % 209.18/209.58 => ( ! [B_x] : % 209.18/209.58 ( 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))) % 209.18/209.58 => ! [B_xa] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2)) % 209.18/209.58 => V_t_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) ) % 209.18/209.58 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_aset_I3_J,axiom, % 209.18/209.58 ! [V_A_2,V_t_2,V_D_2] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 209.18/209.58 => ( 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)) % 209.18/209.58 => ( ! [B_x] : % 209.18/209.58 ( 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))) % 209.18/209.58 => ! [B_xa] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2)) % 209.18/209.58 => V_t_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) ) % 209.18/209.58 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_aset_I5_J,axiom, % 209.18/209.58 ! [V_A_2,V_t_2,V_D_2] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2)) % 209.18/209.58 => ! [B_x] : % 209.18/209.58 ( ! [B_xa] : % 209.18/209.58 ( 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))) % 209.18/209.58 => ! [B_xb] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 209.18/209.58 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2)) % 209.18/209.58 => 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)) ) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_bset_I4_J,axiom, % 209.18/209.58 ! [V_B_2,V_t_2,V_D_2] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2)) % 209.18/209.58 => ! [B_x] : % 209.18/209.58 ( ! [B_xa] : % 209.18/209.58 ( 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))) % 209.18/209.58 => ! [B_xb] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 209.18/209.58 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 209.18/209.58 => ( B_x != V_t_2 % 209.18/209.58 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_bset_I7_J,axiom, % 209.18/209.58 ! [V_B_2,V_t_2,V_D_2] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2)) % 209.18/209.58 => ! [B_x] : % 209.18/209.58 ( ! [B_xa] : % 209.18/209.58 ( 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))) % 209.18/209.58 => ! [B_xb] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 209.18/209.58 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x)) % 209.18/209.58 => 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))) ) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_bset_I6_J,axiom, % 209.18/209.58 ! [V_t_2,V_B_2,V_D_2] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 209.18/209.58 => ! [B_x] : % 209.18/209.58 ( ! [B_xa] : % 209.18/209.58 ( 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))) % 209.18/209.58 => ! [B_xb] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 209.18/209.58 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2)) % 209.18/209.58 => 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)) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_aset_I8_J,axiom, % 209.18/209.58 ! [V_t_2,V_A_2,V_D_2] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 209.18/209.58 => ! [B_x] : % 209.18/209.58 ( ! [B_xa] : % 209.18/209.58 ( 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))) % 209.18/209.58 => ! [B_xb] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 209.18/209.58 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x)) % 209.18/209.58 => 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))) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_periodic__finite__ex,axiom, % 209.18/209.58 ! [V_Pa_2,V_d_2] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 209.18/209.58 => ( ! [B_x,B_k] : % 209.18/209.58 ( hBOOL(hAPP(V_Pa_2,B_x)) % 209.18/209.58 <=> 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)))) ) % 209.18/209.58 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 209.18/209.58 <=> ? [B_x] : % 209.18/209.58 ( 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))) % 209.18/209.58 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_bset_I5_J,axiom, % 209.18/209.58 ! [V_t_2,V_B_2,V_D_2] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 209.18/209.58 => ! [B_x] : % 209.18/209.58 ( ! [B_xa] : % 209.18/209.58 ( 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))) % 209.18/209.58 => ! [B_xb] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 209.18/209.58 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2)) % 209.18/209.58 => 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)) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_aset_I7_J,axiom, % 209.18/209.58 ! [V_t_2,V_A_2,V_D_2] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 209.18/209.58 => ! [B_x] : % 209.18/209.58 ( ! [B_xa] : % 209.18/209.58 ( 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))) % 209.18/209.58 => ! [B_xb] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 209.18/209.58 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x)) % 209.18/209.58 => 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))) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_decr__mult__lemma,axiom, % 209.18/209.58 ! [V_k_2,V_Pa_2,V_d_2] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 209.18/209.58 => ( ! [B_x] : % 209.18/209.58 ( hBOOL(hAPP(V_Pa_2,B_x)) % 209.18/209.58 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) ) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 209.18/209.58 => ! [B_x] : % 209.18/209.58 ( hBOOL(hAPP(V_Pa_2,B_x)) % 209.18/209.58 => 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)))) ) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_negD,axiom, % 209.18/209.58 ! [V_x] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.58 => ? [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))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_incr__mult__lemma,axiom, % 209.18/209.58 ! [V_k_2,V_Pa_2,V_d_2] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 209.18/209.58 => ( ! [B_x] : % 209.18/209.58 ( hBOOL(hAPP(V_Pa_2,B_x)) % 209.18/209.58 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) ) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 209.18/209.58 => ! [B_x] : % 209.18/209.58 ( hBOOL(hAPP(V_Pa_2,B_x)) % 209.18/209.58 => 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)))) ) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_ex__least__nat__less,axiom, % 209.18/209.58 ! [V_n_2,V_Pa_2] : % 209.18/209.58 ( ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 209.18/209.58 => ( hBOOL(hAPP(V_Pa_2,V_n_2)) % 209.18/209.58 => ? [B_k] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_n_2)) % 209.18/209.58 & ! [B_i] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k)) % 209.18/209.58 => ~ hBOOL(hAPP(V_Pa_2,B_i)) ) % 209.18/209.58 & 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)))) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_strong__setprod__reindex__cong,axiom, % 209.18/209.58 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] : % 209.18/209.58 ( class_Groups_Ocomm__monoid__mult(T_d) % 209.18/209.58 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 209.18/209.58 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) % 209.18/209.58 => ( ! [B_x] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 209.18/209.58 => 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) ) % 209.18/209.58 => 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) ) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_setprod__mono__one__left,axiom, % 209.18/209.58 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 209.18/209.58 ( class_Groups_Ocomm__monoid__mult(T_c) % 209.18/209.58 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 209.18/209.58 => ( ! [B_x] : % 209.18/209.58 ( 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))) % 209.18/209.58 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 209.18/209.58 => 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) ) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_setprod__mono__one__right,axiom, % 209.18/209.58 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 209.18/209.58 ( class_Groups_Ocomm__monoid__mult(T_c) % 209.18/209.58 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 209.18/209.58 => ( ! [B_x] : % 209.18/209.58 ( 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))) % 209.18/209.58 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 209.18/209.58 => 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) ) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_SigmaE,axiom, % 209.18/209.58 ! [V_B_2,V_A_2,V_ca_2,T_c,T_b] : % 209.18/209.58 ( 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))) % 209.18/209.58 => ~ ! [B_x] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 209.18/209.58 => ! [B_y] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(V_B_2,B_x))) % 209.18/209.58 => V_ca_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_zero__less__imp__eq__int,axiom, % 209.18/209.58 ! [V_k] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 209.18/209.58 => ? [B_n] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)) % 209.18/209.58 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_map__pair__surj,axiom, % 209.18/209.58 ! [V_g_2,T_d,T_e,V_f_2,T_b,T_c] : % 209.18/209.58 ( 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)) % 209.18/209.58 => ( 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)) % 209.18/209.58 => 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)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_setsum__mono__zero__left,axiom, % 209.18/209.58 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 209.18/209.58 ( class_Groups_Ocomm__monoid__add(T_c) % 209.18/209.58 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 209.18/209.58 => ( ! [B_x] : % 209.18/209.58 ( 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))) % 209.18/209.58 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 209.18/209.58 => 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) ) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_map__pair__imageI,axiom, % 209.18/209.58 ! [V_g_2,V_f_2,T_e,T_d,V_R_2,V_ba_2,V_a_2,T_c,T_b] : % 209.18/209.58 ( 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)) % 209.18/209.58 => 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))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_fst__map__pair,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_fst__comp__map__pair,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_snd__comp__map__pair,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_snd__prod__fun,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_map__pair__ident,axiom, % 209.18/209.58 ! [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 ). % 209.18/209.58 % 209.18/209.58 fof(fact_map__pair_Ocompositionality,axiom, % 209.18/209.58 ! [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) ). % 209.18/209.58 % 209.18/209.58 fof(fact_map__pair__compose,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_map__pair_Ocomp,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_map__pair__simp,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_map__pair_Oidentity,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_map__pair_Oid,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_map__pair__def,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_map__pair__surj__on,axiom, % 209.18/209.58 ! [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] : % 209.18/209.58 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2 % 209.18/209.58 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),V_B_2) = V_B_H_2 % 209.18/209.58 => 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)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_wf__map__pair__image,axiom, % 209.18/209.58 ! [V_f_2,T_c,V_r_2,T_b] : % 209.18/209.58 ( c_Wellfounded_Owf(T_b,V_r_2) % 209.18/209.58 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 209.18/209.58 => 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)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_map__pair__inj__on,axiom, % 209.18/209.58 ! [V_B_2,V_g_2,T_e,T_d,V_A_2,V_f_2,T_c,T_b] : % 209.18/209.58 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 209.18/209.58 => ( c_Fun_Oinj__on(T_d,T_e,V_g_2,V_B_2) % 209.18/209.58 => 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))) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_prod__fun__imageE,axiom, % 209.18/209.58 ! [V_R_2,V_g_2,V_f_2,T_e,T_d,V_ca_2,T_c,T_b] : % 209.18/209.58 ( 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))) % 209.18/209.58 => ~ ! [B_x,B_y] : % 209.18/209.58 ( 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)) % 209.18/209.58 => ~ 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)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_setsum__mono__zero__right,axiom, % 209.18/209.58 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 209.18/209.58 ( class_Groups_Ocomm__monoid__add(T_c) % 209.18/209.58 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 209.18/209.58 => ( ! [B_x] : % 209.18/209.58 ( 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))) % 209.18/209.58 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 209.18/209.58 => 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) ) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_setsum__strict__mono,axiom, % 209.18/209.58 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] : % 209.18/209.58 ( ( class_Groups_Ocomm__monoid__add(T_c) % 209.18/209.58 & class_Groups_Oordered__cancel__ab__semigroup__add(T_c) ) % 209.18/209.58 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.58 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.58 => ( ! [B_x] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 209.18/209.58 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 209.18/209.58 => 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))) ) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_field__le__mult__one__interval,axiom, % 209.18/209.58 ! [V_y,V_x,T_a] : % 209.18/209.58 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 209.18/209.58 => ( ! [B_z] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z)) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a))) % 209.18/209.58 => 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)) ) ) % 209.18/209.58 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom, % 209.18/209.58 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] : % 209.18/209.58 ( ( class_Groups_Ocomm__monoid__add(T_b) % 209.18/209.58 & class_Groups_Ocomm__monoid__mult(T_b) ) % 209.18/209.58 => ( V_A_2 = V_B_2 % 209.18/209.58 => ( c_Nat__Transfer_Onat__set(V_B_2) % 209.18/209.58 => ( ! [B_x] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 209.18/209.58 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) % 209.18/209.58 => 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) ) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_sgn__neg,axiom, % 209.18/209.58 ! [V_a,T_a] : % 209.18/209.58 ( class_Rings_Olinordered__idom(T_a) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 209.18/209.58 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_sgn0,axiom, % 209.18/209.58 ! [T_a] : % 209.18/209.58 ( class_Groups_Osgn__if(T_a) % 209.18/209.58 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_sgn__0__0,axiom, % 209.18/209.58 ! [V_a_2,T_b] : % 209.18/209.58 ( class_Rings_Olinordered__idom(T_b) % 209.18/209.58 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 209.18/209.58 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_sgn__sgn,axiom, % 209.18/209.58 ! [V_a,T_a] : % 209.18/209.58 ( class_Rings_Olinordered__idom(T_a) % 209.18/209.58 => 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) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_sgn__times,axiom, % 209.18/209.58 ! [V_b,V_a,T_a] : % 209.18/209.58 ( class_Rings_Olinordered__idom(T_a) % 209.18/209.58 => 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)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_sgn__greater,axiom, % 209.18/209.58 ! [V_a_2,T_b] : % 209.18/209.58 ( class_Rings_Olinordered__idom(T_b) % 209.18/209.58 => ( 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))) % 209.18/209.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_sgn__less,axiom, % 209.18/209.58 ! [V_a_2,T_b] : % 209.18/209.58 ( class_Rings_Olinordered__idom(T_b) % 209.18/209.58 => ( 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))) % 209.18/209.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_sgn__1__pos,axiom, % 209.18/209.58 ! [V_a_2,T_b] : % 209.18/209.58 ( class_Rings_Olinordered__idom(T_b) % 209.18/209.58 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Oone__class_Oone(T_b) % 209.18/209.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_sgn__pos,axiom, % 209.18/209.58 ! [V_a,T_a] : % 209.18/209.58 ( class_Rings_Olinordered__idom(T_a) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 209.18/209.58 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_zsgn__def,axiom, % 209.18/209.58 ! [V_i] : % 209.18/209.58 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.58 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 209.18/209.58 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.58 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i)) % 209.18/209.58 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) % 209.18/209.58 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i)) % 209.18/209.58 => 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)) ) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_sgn__if,axiom, % 209.18/209.58 ! [V_x,T_a] : % 209.18/209.58 ( class_Groups_Osgn__if(T_a) % 209.18/209.58 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a) % 209.18/209.58 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) ) % 209.18/209.58 & ( V_x != c_Groups_Ozero__class_Ozero(T_a) % 209.18/209.58 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 209.18/209.58 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) ) % 209.18/209.58 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 209.18/209.58 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_sgn__1__neg,axiom, % 209.18/209.58 ! [V_a_2,T_b] : % 209.18/209.58 ( class_Rings_Olinordered__idom(T_b) % 209.18/209.58 => ( 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)) % 209.18/209.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_code__numeral_Osimps_I5_J,axiom, % 209.18/209.58 ! [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) ). % 209.18/209.58 % 209.18/209.58 fof(fact_incr__lemma,axiom, % 209.18/209.58 ! [V_x,V_z,V_d] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d)) % 209.18/209.58 => 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)))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_decr__lemma,axiom, % 209.18/209.58 ! [V_z,V_x,V_d] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d)) % 209.18/209.58 => 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)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_setsum__abs,axiom, % 209.18/209.58 ! [V_A_2,V_f_2,T_c,T_b] : % 209.18/209.58 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 209.18/209.58 => 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))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_setsum__abs__ge__zero,axiom, % 209.18/209.58 ! [V_A_2,V_f_2,T_c,T_b] : % 209.18/209.58 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 209.18/209.58 => 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))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_nonzero__abs__divide,axiom, % 209.18/209.58 ! [V_a,V_b,T_a] : % 209.18/209.58 ( class_Fields_Olinordered__field(T_a) % 209.18/209.58 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 209.18/209.58 => 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)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__power__minus,axiom, % 209.18/209.58 ! [V_n,V_a,T_a] : % 209.18/209.58 ( class_Rings_Olinordered__idom(T_a) % 209.18/209.58 => 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)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__minus__commute,axiom, % 209.18/209.58 ! [V_b,V_a,T_a] : % 209.18/209.58 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 209.18/209.58 => 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)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__triangle__ineq2__sym,axiom, % 209.18/209.58 ! [V_b,V_a,T_a] : % 209.18/209.58 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 209.18/209.58 => 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)))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__triangle__ineq2,axiom, % 209.18/209.58 ! [V_b,V_a,T_a] : % 209.18/209.58 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 209.18/209.58 => 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)))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__triangle__ineq3,axiom, % 209.18/209.58 ! [V_b,V_a,T_a] : % 209.18/209.58 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 209.18/209.58 => 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)))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__less__iff,axiom, % 209.18/209.58 ! [V_ba_2,V_a_2,T_b] : % 209.18/209.58 ( class_Rings_Olinordered__idom(T_b) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_ba_2)) % 209.18/209.58 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_ba_2)) % 209.18/209.58 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_ba_2)) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_power__abs,axiom, % 209.18/209.58 ! [V_n,V_a,T_a] : % 209.18/209.58 ( class_Rings_Olinordered__idom(T_a) % 209.18/209.58 => 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) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__ge__self,axiom, % 209.18/209.58 ! [V_a,T_a] : % 209.18/209.58 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 209.18/209.58 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__le__D1,axiom, % 209.18/209.58 ! [V_b,V_a,T_a] : % 209.18/209.58 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) % 209.18/209.58 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__idempotent,axiom, % 209.18/209.58 ! [V_a,T_a] : % 209.18/209.58 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 209.18/209.58 => 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) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__add__abs,axiom, % 209.18/209.58 ! [V_b,V_a,T_a] : % 209.18/209.58 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 209.18/209.58 => 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)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__mult,axiom, % 209.18/209.58 ! [V_b,V_a,T_a] : % 209.18/209.58 ( class_Rings_Olinordered__idom(T_a) % 209.18/209.58 => 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)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__mult__self,axiom, % 209.18/209.58 ! [V_a,T_a] : % 209.18/209.58 ( class_Rings_Olinordered__idom(T_a) % 209.18/209.58 => 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) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__minus__cancel,axiom, % 209.18/209.58 ! [V_a,T_a] : % 209.18/209.58 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 209.18/209.58 => 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) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__of__nat,axiom, % 209.18/209.58 ! [V_n,T_a] : % 209.18/209.58 ( class_Rings_Olinordered__idom(T_a) % 209.18/209.58 => 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) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__int__eq,axiom, % 209.18/209.58 ! [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) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__setprod,axiom, % 209.18/209.58 ! [V_A_2,V_f_2,T_c,T_b] : % 209.18/209.58 ( class_Fields_Olinordered__field(T_b) % 209.18/209.58 => 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) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__divide,axiom, % 209.18/209.58 ! [V_b,V_a,T_a] : % 209.18/209.58 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 209.18/209.58 => 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)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__setsum__abs,axiom, % 209.18/209.58 ! [V_A_2,V_f_2,T_c,T_b] : % 209.18/209.58 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 209.18/209.58 => 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) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__mult__less,axiom, % 209.18/209.58 ! [V_d,V_b,V_c,V_a,T_a] : % 209.18/209.58 ( class_Rings_Olinordered__idom(T_a) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c)) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d)) % 209.18/209.58 => 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))) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__triangle__ineq,axiom, % 209.18/209.58 ! [V_b,V_a,T_a] : % 209.18/209.58 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 209.18/209.58 => 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)))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__le__D2,axiom, % 209.18/209.58 ! [V_b,V_a,T_a] : % 209.18/209.58 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) % 209.18/209.58 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__leI,axiom, % 209.18/209.58 ! [V_b,V_a,T_a] : % 209.18/209.58 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) % 209.18/209.58 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__le__iff,axiom, % 209.18/209.58 ! [V_ba_2,V_a_2,T_b] : % 209.18/209.58 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 209.18/209.58 => ( 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)) % 209.18/209.58 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_ba_2)) % 209.18/209.58 & 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)) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__ge__minus__self,axiom, % 209.18/209.58 ! [V_a,T_a] : % 209.18/209.58 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 209.18/209.58 => 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))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__of__nonneg,axiom, % 209.18/209.58 ! [V_a,T_a] : % 209.18/209.58 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 209.18/209.58 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__le__zero__iff,axiom, % 209.18/209.58 ! [V_a_2,T_b] : % 209.18/209.58 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 209.18/209.58 => ( 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))) % 209.18/209.58 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__ge__zero,axiom, % 209.18/209.58 ! [V_a,T_a] : % 209.18/209.58 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 209.18/209.58 => 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))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__not__less__zero,axiom, % 209.18/209.58 ! [V_a,T_a] : % 209.18/209.58 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 209.18/209.58 => ~ 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))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_zero__less__abs__iff,axiom, % 209.18/209.58 ! [V_a_2,T_b] : % 209.18/209.58 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 209.18/209.58 => ( 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))) % 209.18/209.58 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__of__pos,axiom, % 209.18/209.58 ! [V_a,T_a] : % 209.18/209.58 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 209.18/209.58 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__one,axiom, % 209.18/209.58 ! [T_a] : % 209.18/209.58 ( class_Rings_Olinordered__idom(T_a) % 209.18/209.58 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__eq__0,axiom, % 209.18/209.58 ! [V_a_2,T_b] : % 209.18/209.58 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 209.18/209.58 => ( hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 209.18/209.58 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__zero,axiom, % 209.18/209.58 ! [T_a] : % 209.18/209.58 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 209.18/209.58 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__zmult__eq__1,axiom, % 209.18/209.58 ! [V_n,V_m] : % 209.18/209.58 ( 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) % 209.18/209.58 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_mult__sgn__abs,axiom, % 209.18/209.58 ! [V_x,T_a] : % 209.18/209.58 ( class_Rings_Olinordered__idom(T_a) % 209.18/209.58 => 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 ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__sgn,axiom, % 209.18/209.58 ! [V_k,T_a] : % 209.18/209.58 ( class_Rings_Olinordered__idom(T_a) % 209.18/209.58 => 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)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__eq__mult,axiom, % 209.18/209.58 ! [V_b,V_a,T_a] : % 209.18/209.58 ( class_Rings_Oordered__ring__abs(T_a) % 209.18/209.58 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 209.18/209.58 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) % 209.18/209.58 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 209.18/209.58 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) ) % 209.18/209.58 => 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)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__mult__pos,axiom, % 209.18/209.58 ! [V_y,V_x,T_a] : % 209.18/209.58 ( class_Rings_Olinordered__idom(T_a) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 209.18/209.58 => 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)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__triangle__ineq4,axiom, % 209.18/209.58 ! [V_b,V_a,T_a] : % 209.18/209.58 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 209.18/209.58 => 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)))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__diff__triangle__ineq,axiom, % 209.18/209.58 ! [V_d,V_c,V_b,V_a,T_a] : % 209.18/209.58 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 209.18/209.58 => 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))))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__minus__le__zero,axiom, % 209.18/209.58 ! [V_a,T_a] : % 209.18/209.58 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 209.18/209.58 => 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))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__of__nonpos,axiom, % 209.18/209.58 ! [V_a,T_a] : % 209.18/209.58 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 209.18/209.58 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__of__neg,axiom, % 209.18/209.58 ! [V_a,T_a] : % 209.18/209.58 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 209.18/209.58 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__if,axiom, % 209.18/209.58 ! [V_a,T_a] : % 209.18/209.58 ( class_Groups_Oabs__if(T_a) % 209.18/209.58 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 209.18/209.58 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) % 209.18/209.58 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 209.18/209.58 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_zero__le__power__abs,axiom, % 209.18/209.58 ! [V_n,V_a,T_a] : % 209.18/209.58 ( class_Rings_Olinordered__idom(T_a) % 209.18/209.58 => 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))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__div__pos,axiom, % 209.18/209.58 ! [V_x,V_y,T_a] : % 209.18/209.58 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 209.18/209.58 => 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)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__minus__one,axiom, % 209.18/209.58 ! [T_a] : % 209.18/209.58 ( ( class_Int_Onumber__ring(T_a) % 209.18/209.58 & class_Rings_Olinordered__idom(T_a) ) % 209.18/209.58 => 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) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_zabs__less__one__iff,axiom, % 209.18/209.58 ! [V_z_2] : % 209.18/209.58 ( 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))) % 209.18/209.58 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_zabs__def,axiom, % 209.18/209.58 ! [V_i] : % 209.18/209.58 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.58 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) ) % 209.18/209.58 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 209.18/209.58 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_nat__abs__mult__distrib,axiom, % 209.18/209.58 ! [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))) ). % 209.18/209.58 % 209.18/209.58 fof(fact_zero__le__zpower__abs,axiom, % 209.18/209.58 ! [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))) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__number__of,axiom, % 209.18/209.58 ! [V_x,T_a] : % 209.18/209.58 ( ( class_Int_Onumber__ring(T_a) % 209.18/209.58 & class_Rings_Olinordered__idom(T_a) ) % 209.18/209.58 => ( ( 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))) % 209.18/209.58 => 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)) ) % 209.18/209.58 & ( ~ 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))) % 209.18/209.58 => 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) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__power__minus__one,axiom, % 209.18/209.58 ! [V_n,T_a] : % 209.18/209.58 ( ( class_Int_Onumber__ring(T_a) % 209.18/209.58 & class_Rings_Olinordered__idom(T_a) ) % 209.18/209.58 => 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) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_zero__less__zpower__abs__iff,axiom, % 209.18/209.58 ! [V_n_2,V_x_2] : % 209.18/209.58 ( 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))) % 209.18/209.58 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.58 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_abs__power2,axiom, % 209.18/209.58 ! [V_a,T_a] : % 209.18/209.58 ( class_Rings_Olinordered__idom(T_a) % 209.18/209.58 => 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)))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_power2__abs,axiom, % 209.18/209.58 ! [V_a,T_a] : % 209.18/209.58 ( class_Rings_Olinordered__idom(T_a) % 209.18/209.58 => 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)))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_code__numeral_Osimps_I4_J,axiom, % 209.18/209.58 ! [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 ). % 209.18/209.58 % 209.18/209.58 fof(fact_divmod__int__pdivmod,axiom, % 209.18/209.58 ! [V_l_2,V_k_2] : % 209.18/209.58 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.58 => 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)) ) % 209.18/209.58 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.58 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.58 => 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) ) % 209.18/209.58 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.58 => 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)))) ) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Nitpick_Oint__gcd__def,axiom, % 209.18/209.58 ! [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)))) ). % 209.18/209.58 % 209.18/209.58 fof(fact_divmod__int__code,axiom, % 209.18/209.58 ! [V_l_2,V_k_2] : % 209.18/209.58 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.58 => 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)) ) % 209.18/209.58 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.58 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.58 => 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) ) % 209.18/209.58 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.58 => 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)))) ) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_apsnd__compose,axiom, % 209.18/209.58 ! [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) ). % 209.18/209.58 % 209.18/209.58 fof(fact_snd__apsnd,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_apsnd__eq__conv,axiom, % 209.18/209.58 ! [V_g_2,V_x_2,V_f_2,T_b,T_c,T_d] : % 209.18/209.58 ( 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) % 209.18/209.58 <=> 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)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_fst__apsnd,axiom, % 209.18/209.58 ! [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) ). % 209.18/209.58 % 209.18/209.58 fof(fact_apsnd__conv,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_negateSnd__def,axiom, % 209.18/209.58 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_apsnd__def,axiom, % 209.18/209.58 ! [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) ). % 209.18/209.58 % 209.18/209.58 fof(fact_apsnd__id,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_nat__gcd_Osimps,axiom, % 209.18/209.58 ! [V_x,V_y] : % 209.18/209.58 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.18/209.58 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x ) % 209.18/209.58 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.18/209.58 => 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)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_pdivmod__def,axiom, % 209.18/209.58 ! [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))) ). % 209.18/209.58 % 209.18/209.58 fof(fact_pdivmod__posDivAlg,axiom, % 209.18/209.58 ! [V_k,V_l] : % 209.18/209.58 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.58 => 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)) ) % 209.18/209.58 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 209.18/209.58 => 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)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_nat__gcd_Opsimps,axiom, % 209.18/209.58 ! [V_y_2,V_x_2] : % 209.18/209.58 ( 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))) % 209.18/209.58 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.18/209.58 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 ) % 209.18/209.58 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.18/209.58 => 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)) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Nitpick_Onat__lcm__def,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Nitpick_Oint__lcm__def,axiom, % 209.18/209.58 ! [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)))) ). % 209.18/209.58 % 209.18/209.58 fof(fact_nat__gcd_Opinduct,axiom, % 209.18/209.58 ! [V_Pa_2,V_a1_2,V_a0_2] : % 209.18/209.58 ( 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))) % 209.18/209.58 => ( ! [B_x,B_y] : % 209.18/209.58 ( 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))) % 209.18/209.58 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.18/209.58 => hBOOL(hAPP(hAPP(V_Pa_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) ) % 209.18/209.58 => hBOOL(hAPP(hAPP(V_Pa_2,B_x),B_y)) ) ) % 209.18/209.58 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_apfst__apsnd,axiom, % 209.18/209.58 ! [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))) ). % 209.18/209.58 % 209.18/209.58 fof(fact_apsnd__apfst,axiom, % 209.18/209.58 ! [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))) ). % 209.18/209.58 % 209.18/209.58 fof(fact_apsnd__apfst__commute,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_apfst__compose,axiom, % 209.18/209.58 ! [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) ). % 209.18/209.58 % 209.18/209.58 fof(fact_snd__apfst,axiom, % 209.18/209.58 ! [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) ). % 209.18/209.58 % 209.18/209.58 fof(fact_fst__apfst,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_apfst__eq__conv,axiom, % 209.18/209.58 ! [V_g_2,V_x_2,V_f_2,T_c,T_b,T_d] : % 209.18/209.58 ( 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) % 209.18/209.58 <=> 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)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_apfst__conv,axiom, % 209.18/209.58 ! [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) ). % 209.18/209.58 % 209.18/209.58 fof(fact_apfst__def,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_apfst__id,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom, % 209.18/209.58 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] : % 209.18/209.58 ( ( class_Groups_Ocomm__monoid__add(T_b) % 209.18/209.58 & class_Groups_Ocomm__monoid__mult(T_b) ) % 209.18/209.58 => ( V_A_2 = V_B_2 % 209.18/209.58 => ( c_Nat__Transfer_Onat__set(V_B_2) % 209.18/209.58 => ( ! [B_x] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 209.18/209.58 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) % 209.18/209.58 => 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) ) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_accp__acc__eq,axiom, % 209.18/209.58 ! [V_x_2,V_r_2,T_b] : % 209.18/209.58 ( 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)) % 209.18/209.58 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Nitpick_Ozero__frac__def,axiom, % 209.18/209.58 ! [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))) ). % 209.18/209.58 % 209.18/209.58 fof(fact_wf__acc__iff,axiom, % 209.18/209.58 ! [V_r_2,T_b] : % 209.18/209.58 ( c_Wellfounded_Owf(T_b,V_r_2) % 209.18/209.58 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_acc__wfD,axiom, % 209.18/209.58 ! [V_x_2,V_r_2,T_b] : % 209.18/209.58 ( c_Wellfounded_Owf(T_b,V_r_2) % 209.18/209.58 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_acc__subset,axiom, % 209.18/209.58 ! [V_R2_2,V_R1_2,T_b] : % 209.18/209.58 ( 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)) % 209.18/209.58 => 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))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_acc__downward,axiom, % 209.18/209.58 ! [V_a_2,V_r_2,V_ba_2,T_b] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 209.18/209.58 => ( 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)) % 209.18/209.58 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_acc_Osimps,axiom, % 209.18/209.58 ! [V_r_2,V_a_2,T_b] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 209.18/209.58 <=> ! [B_x] : % 209.18/209.58 ( 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)) % 209.18/209.58 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Nitpick_Oone__frac__def,axiom, % 209.18/209.58 ! [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))) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Nitpick_Onumber__of__frac__def,axiom, % 209.18/209.58 ! [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))) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Nitpick_Ofrac__def,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_refl__on__def,axiom, % 209.18/209.58 ! [V_r_2,V_A_2,T_b] : % 209.18/209.58 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 209.18/209.58 <=> ( 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)))) % 209.18/209.58 & ! [B_x] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 209.18/209.58 => 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)) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_int__val__lemma,axiom, % 209.18/209.58 ! [V_k_2,V_f_2,V_n_2] : % 209.18/209.58 ( ! [B_i] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) % 209.18/209.58 => 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))) ) % 209.18/209.58 => ( 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)) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2))) % 209.18/209.58 => ? [B_i] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2)) % 209.18/209.58 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_nat0__intermed__int__val,axiom, % 209.18/209.58 ! [V_k_2,V_f_2,V_n_2] : % 209.18/209.58 ( ! [B_i] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) % 209.18/209.58 => 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))) ) % 209.18/209.58 => ( 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)) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2))) % 209.18/209.58 => ? [B_i] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2)) % 209.18/209.58 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_refl__on__Id__on,axiom, % 209.18/209.58 ! [V_A_2,T_b] : c_Relation_Orefl__on(T_b,V_A_2,c_Relation_OId__on(T_b,V_A_2)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_refl__on__empty,axiom, % 209.18/209.58 ! [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))) ). % 209.18/209.58 % 209.18/209.58 fof(fact_refl__on__Un,axiom, % 209.18/209.58 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] : % 209.18/209.58 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 209.18/209.58 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2) % 209.18/209.58 => 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)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_refl__Id,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_refl__on__Int,axiom, % 209.18/209.58 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] : % 209.18/209.58 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 209.18/209.58 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2) % 209.18/209.58 => 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)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_refl__onD2,axiom, % 209.18/209.58 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 209.18/209.58 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 209.18/209.58 => ( 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)) % 209.18/209.58 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_refl__onD1,axiom, % 209.18/209.58 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 209.18/209.58 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 209.18/209.58 => ( 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)) % 209.18/209.58 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_refl__onD,axiom, % 209.18/209.58 ! [V_a_2,V_r_2,V_A_2,T_b] : % 209.18/209.58 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 209.18/209.58 => 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)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_refl__reflcl,axiom, % 209.18/209.58 ! [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))) ). % 209.18/209.58 % 209.18/209.58 fof(fact_reflp__def,axiom, % 209.18/209.58 ! [V_r_2,T_b] : % 209.18/209.58 ( c_Predicate_Oreflp(T_b,V_r_2) % 209.18/209.58 <=> 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))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_refl__onI,axiom, % 209.18/209.58 ! [V_A_2,V_r_2,T_b] : % 209.18/209.58 ( 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)))) % 209.18/209.58 => ( ! [B_x] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 209.18/209.58 => 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)) ) % 209.18/209.58 => c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_setprod__pos__nat,axiom, % 209.18/209.58 ! [V_f_2,V_S_2,T_b] : % 209.18/209.58 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 209.18/209.58 => ( ! [B_x] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 209.18/209.58 => 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))) ) % 209.18/209.58 => 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))) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_reflpE,axiom, % 209.18/209.58 ! [V_x_2,V_r_2,T_b] : % 209.18/209.58 ( c_Predicate_Oreflp(T_b,V_r_2) % 209.18/209.58 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Rep__Integ__induct,axiom, % 209.18/209.58 ! [V_Pa_2,V_y_2] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg)) % 209.18/209.58 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Int_ORep__Integ,B_x))) % 209.18/209.58 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Rep__Integ__cases,axiom, % 209.18/209.58 ! [V_y_2] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg)) % 209.18/209.58 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom, % 209.18/209.58 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 209.18/209.58 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 209.18/209.58 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 209.18/209.58 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 209.18/209.58 => ( ! [B_x] : % 209.18/209.58 ( 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))) % 209.18/209.58 => hAPP(V_g_2,B_x) = V_z_2 ) % 209.18/209.58 => 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)) ) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_pigeonhole__infinite,axiom, % 209.18/209.58 ! [V_f_2,T_c,V_A_2,T_b] : % 209.18/209.58 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.58 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 209.18/209.58 => ? [B_x] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 209.18/209.58 & ~ 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)))))) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_refl__on__def_H,axiom, % 209.18/209.58 ! [V_r_2,V_A_2,T_b] : % 209.18/209.58 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 209.18/209.58 <=> ( ! [B_x] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2)) % 209.18/209.58 => 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)) ) % 209.18/209.58 & ! [B_x] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 209.18/209.58 => 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)) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Abs__Integ__induct,axiom, % 209.18/209.58 ! [V_x_2,V_Pa_2] : % 209.18/209.58 ( ! [B_y] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) % 209.18/209.58 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_OAbs__Integ,B_y))) ) % 209.18/209.58 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Powp__def,axiom, % 209.18/209.58 ! [V_B_2,V_A_2,T_b] : % 209.18/209.58 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,V_A_2),V_B_2)) % 209.18/209.58 <=> ! [B_x] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 209.18/209.58 => hBOOL(hAPP(V_A_2,B_x)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_ball__empty,axiom, % 209.18/209.58 ! [V_Pa_2,T_b,B_x] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 209.18/209.58 => hBOOL(hAPP(V_Pa_2,B_x)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_congruent__def,axiom, % 209.18/209.58 ! [V_f_2,V_r_2,T_c,T_b] : % 209.18/209.58 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) % 209.18/209.58 <=> ! [B_x] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2)) % 209.18/209.58 => 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)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Inf__Sup,axiom, % 209.18/209.58 ! [V_A_2,T_b] : % 209.18/209.58 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 209.18/209.58 => 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))))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Sup__Inf,axiom, % 209.18/209.58 ! [V_A_2,T_b] : % 209.18/209.58 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 209.18/209.58 => 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)))))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Abs__Integ__cases,axiom, % 209.18/209.58 ! [V_x_2] : % 209.18/209.58 ~ ! [B_y] : % 209.18/209.58 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y) % 209.18/209.58 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_UnionI,axiom, % 209.18/209.58 ! [V_A_2,V_C_2,V_X_2,T_b] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) % 209.18/209.58 => 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))) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Union__upper,axiom, % 209.18/209.58 ! [V_A_2,V_B_2,T_b] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 209.18/209.58 => 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))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Union__disjoint,axiom, % 209.18/209.58 ! [V_A_2,V_C_2,T_b] : % 209.18/209.58 ( 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)) % 209.18/209.58 <=> ! [B_x] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_C_2)) % 209.18/209.58 => 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)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_less__Sup__iff,axiom, % 209.18/209.58 ! [V_S_2,V_a_2,T_b] : % 209.18/209.58 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 209.18/209.58 & class_Orderings_Olinorder(T_b) ) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_S_2))) % 209.18/209.58 <=> ? [B_x] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 209.18/209.58 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),B_x)) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_vimage__Union,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Domain__Union,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_image__Union,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Int__Union2,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Int__Union,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_UN__extend__simps_I8_J,axiom, % 209.18/209.58 ! [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) ). % 209.18/209.58 % 209.18/209.58 fof(fact_UN__simps_I8_J,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Union__Pow__eq,axiom, % 209.18/209.58 ! [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 ). % 209.18/209.58 % 209.18/209.58 fof(fact_Field__Union,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Sigma__Union,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Sup__le__iff,axiom, % 209.18/209.58 ! [V_ba_2,V_A_2,T_b] : % 209.18/209.58 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 209.18/209.58 => ( 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)) % 209.18/209.58 <=> ! [B_x] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 209.18/209.58 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_ba_2)) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Range__Union,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Union__empty,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Union__mono,axiom, % 209.18/209.58 ! [V_B_2,V_A_2,T_b] : % 209.18/209.58 ( 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)) % 209.18/209.58 => 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))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Union__quotient,axiom, % 209.18/209.58 ! [V_r_2,V_A_2,T_b] : % 209.18/209.58 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 209.18/209.58 => 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 ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Union__insert,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_finite__UnionD,axiom, % 209.18/209.58 ! [V_A_2,T_b] : % 209.18/209.58 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) % 209.18/209.58 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_subset__Pow__Union,axiom, % 209.18/209.58 ! [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)))) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Union__UNIV,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Union__Un__distrib,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Union__image__eq,axiom, % 209.18/209.58 ! [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) ). % 209.18/209.58 % 209.18/209.58 fof(fact_UNION__eq__Union__image,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Sup__upper,axiom, % 209.18/209.58 ! [V_A_2,V_x_2,T_b] : % 209.18/209.58 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 209.18/209.58 => 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))) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Sup__empty,axiom, % 209.18/209.58 ! [T_b] : % 209.18/209.58 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 209.18/209.58 => 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) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Sup__singleton,axiom, % 209.18/209.58 ! [V_a_2,T_b] : % 209.18/209.58 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 209.18/209.58 => 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 ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Sup__insert,axiom, % 209.18/209.58 ! [V_A_2,V_a_2,T_b] : % 209.18/209.58 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 209.18/209.58 => 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)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Sup__UNIV,axiom, % 209.18/209.58 ! [T_b] : % 209.18/209.58 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 209.18/209.58 => 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) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Inter__eq,axiom, % 209.18/209.58 ! [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)))) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Un__eq__Union,axiom, % 209.18/209.58 ! [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))))) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Un__Union__image,axiom, % 209.18/209.58 ! [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))) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Union__Int__subset,axiom, % 209.18/209.58 ! [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)))) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Sup__binary,axiom, % 209.18/209.58 ! [V_ba_2,V_a_2,T_b] : % 209.18/209.58 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 209.18/209.58 => 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) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Sup__fin__Sup,axiom, % 209.18/209.58 ! [V_A_2,T_b] : % 209.18/209.58 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 209.18/209.58 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.58 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.58 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_card__partition,axiom, % 209.18/209.58 ! [V_k_2,V_C_2,T_b] : % 209.18/209.58 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_C_2)) % 209.18/209.58 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2))) % 209.18/209.58 => ( ! [B_c] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c),V_C_2)) % 209.18/209.58 => hAPP(c_Finite__Set_Ocard(T_b),B_c) = V_k_2 ) % 209.18/209.58 => ( ! [B_c1] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c1),V_C_2)) % 209.18/209.58 => ! [B_c2] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c2),V_C_2)) % 209.18/209.58 => ( B_c1 != B_c2 % 209.18/209.58 => 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)) ) ) ) % 209.18/209.58 => 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)) ) ) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_finite__Union,axiom, % 209.18/209.58 ! [V_A_2,T_b] : % 209.18/209.58 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) % 209.18/209.58 => ( ! [B_M] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_M),V_A_2)) % 209.18/209.58 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_M)) ) % 209.18/209.58 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_insert__partition,axiom, % 209.18/209.58 ! [V_F_2,V_x_2,T_b] : % 209.18/209.58 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2)) % 209.18/209.58 => ( ! [B_x] : % 209.18/209.58 ( 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))) % 209.18/209.58 => ! [B_xa] : % 209.18/209.58 ( 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))) % 209.18/209.58 => ( B_x != B_xa % 209.18/209.58 => 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)) ) ) ) % 209.18/209.58 => 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)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Union__def,axiom, % 209.18/209.58 ! [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))) ). % 209.18/209.58 % 209.18/209.58 fof(fact_finite__UN__I,axiom, % 209.18/209.58 ! [V_B_2,T_c,V_A_2,T_b] : % 209.18/209.58 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.58 => ( ! [B_a] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 209.18/209.58 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) ) % 209.18/209.58 => 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))) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_ex__bij__betw__nat__finite__1,axiom, % 209.18/209.58 ! [V_M_2,T_b] : % 209.18/209.58 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2)) % 209.18/209.58 => ? [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) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_inj__on__diff__nat,axiom, % 209.18/209.58 ! [V_k_2,V_N_2] : % 209.18/209.58 ( ! [B_x] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 209.18/209.58 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) ) % 209.18/209.58 => 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) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_ex__bij__betw__nat__finite,axiom, % 209.18/209.58 ! [V_M_2,T_b] : % 209.18/209.58 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2)) % 209.18/209.58 => ? [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) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_mem__splitE,axiom, % 209.18/209.58 ! [V_p_2,V_ca_2,T_d,T_c,V_z_2,T_b] : % 209.18/209.58 ( 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))) % 209.18/209.58 => ~ ! [B_x,B_y] : % 209.18/209.58 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y) % 209.18/209.58 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_ca_2,B_x),B_y))) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_mem__splitI2,axiom, % 209.18/209.58 ! [V_ca_2,V_z_2,T_d,T_c,T_b,V_p_2] : % 209.18/209.58 ( ! [B_a,B_b] : % 209.18/209.58 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b) % 209.18/209.58 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(V_ca_2,B_a),B_b))) ) % 209.18/209.58 => 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))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_setsum__SucD,axiom, % 209.18/209.58 ! [V_n_2,V_A_2,V_f_2,T_b] : % 209.18/209.58 ( 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) % 209.18/209.58 => ? [B_x] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 209.18/209.58 & 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))) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Eps__split,axiom, % 209.18/209.58 ! [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))) ). % 209.18/209.58 % 209.18/209.58 fof(fact_nat__mod__eq__lemma,axiom, % 209.18/209.58 ! [V_y,V_n,V_x] : % 209.18/209.58 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n) % 209.18/209.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x)) % 209.18/209.58 => ? [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)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_tfl__some,axiom, % 209.18/209.58 ! [T_b,B_P] : % 209.18/209.58 ( ? [B_x] : hBOOL(hAPP(B_P,B_x)) % 209.18/209.58 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_b,B_P))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_someI,axiom, % 209.18/209.58 ! [T_b,V_x_2,V_Pa_2] : % 209.18/209.58 ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 209.18/209.58 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_some__sym__eq__trivial,axiom, % 209.18/209.58 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ). % 209.18/209.58 % 209.18/209.58 fof(fact_some__eq__trivial,axiom, % 209.18/209.58 ! [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 ). % 209.18/209.58 % 209.18/209.58 fof(fact_some__eq__ex,axiom, % 209.18/209.58 ! [T_b,V_Pa_2] : % 209.18/209.58 ( hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) % 209.18/209.58 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_someI__ex,axiom, % 209.18/209.58 ! [T_b,V_Pa_2] : % 209.18/209.58 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 209.18/209.58 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_exE__some,axiom, % 209.18/209.58 ! [T_b,V_ca_2,V_Pa_2] : % 209.18/209.58 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 209.18/209.58 => ( V_ca_2 = c_Hilbert__Choice_OEps(T_b,V_Pa_2) % 209.18/209.58 => hBOOL(hAPP(V_Pa_2,V_ca_2)) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Eps__split__eq,axiom, % 209.18/209.58 ! [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) ). % 209.18/209.58 % 209.18/209.58 fof(fact_split__paired__Eps,axiom, % 209.18/209.58 ! [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)))) ). % 209.18/209.58 % 209.18/209.58 fof(fact_inv__into__def,axiom, % 209.18/209.58 ! [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))) ). % 209.18/209.58 % 209.18/209.58 fof(fact_inv__def,axiom, % 209.18/209.58 ! [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)) ). % 209.18/209.58 % 209.18/209.58 fof(fact_ex__bij__betw__finite__nat,axiom, % 209.18/209.58 ! [V_M_2,T_b] : % 209.18/209.58 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2)) % 209.18/209.58 => ? [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))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_Sigma__mono,axiom, % 209.18/209.58 ! [V_D_2,V_B_2,T_c,V_C_2,V_A_2,T_b] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 209.18/209.58 => ( ! [B_x] : % 209.18/209.58 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 209.18/209.58 => 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))) ) % 209.18/209.58 => 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))) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_not__acc__down,axiom, % 209.18/209.58 ! [V_R_2,V_x_2,T_b] : % 209.18/209.58 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_R_2))) % 209.18/209.58 => ~ ! [B_z] : % 209.18/209.58 ( 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)) % 209.18/209.58 => hBOOL(hAPP(hAPP(c_member(T_b),B_z),c_Wellfounded_Oacc(T_b,V_R_2))) ) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_acc_OaccI,axiom, % 209.18/209.58 ! [V_r_2,V_x_2,T_b] : % 209.18/209.58 ( ! [B_y] : % 209.18/209.58 ( 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)) % 209.18/209.58 => hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Wellfounded_Oacc(T_b,V_r_2))) ) % 209.18/209.58 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 209.18/209.58 % 209.18/209.58 fof(fact_fold__image__1,axiom, % 209.18/209.58 ! [V_f_2,V_S_2,T_b,T_c] : % 209.18/209.59 ( class_Groups_Ocomm__monoid__mult(T_c) % 209.18/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 209.18/209.59 => ( ! [B_x] : % 209.18/209.59 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 209.18/209.59 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 209.18/209.59 => 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) ) ) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_card_Oneutral,axiom, % 209.18/209.59 ! [V_A_2,T_b] : % 209.18/209.59 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.59 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 209.18/209.59 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 209.18/209.59 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_max__ext_Osimps,axiom, % 209.18/209.59 ! [V_R_2,V_a2_2,V_a1_2,T_b] : % 209.18/209.59 ( 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))) % 209.18/209.59 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2)) % 209.18/209.59 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2)) % 209.18/209.59 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.18/209.59 & ! [B_x] : % 209.18/209.59 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2)) % 209.18/209.59 => ? [B_xa] : % 209.18/209.59 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2)) % 209.18/209.59 & 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)) ) ) ) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_mod__induct__0,axiom, % 209.18/209.59 ! [V_i_2,V_Pa_2,V_p_2] : % 209.18/209.59 ( ! [B_i] : % 209.18/209.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2)) % 209.18/209.59 => ( hBOOL(hAPP(V_Pa_2,B_i)) % 209.18/209.59 => hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) ) % 209.18/209.59 => ( hBOOL(hAPP(V_Pa_2,V_i_2)) % 209.18/209.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2)) % 209.18/209.59 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_fold__image__cong,axiom, % 209.18/209.59 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_b,T_c] : % 209.18/209.59 ( class_Groups_Oab__semigroup__mult(T_c) % 209.18/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.59 => ( ! [B_x] : % 209.18/209.59 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 209.18/209.59 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) ) % 209.18/209.59 => 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) ) ) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_trancl__subset__Sigma__aux,axiom, % 209.18/209.59 ! [V_A_2,V_r_2,V_ba_2,V_a_2,T_b] : % 209.18/209.59 ( 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))) % 209.18/209.59 => ( 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)))) % 209.18/209.59 => ( V_a_2 = V_ba_2 % 209.18/209.59 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_Max__eqI,axiom, % 209.18/209.59 ! [V_x_2,V_A_2,T_b] : % 209.18/209.59 ( class_Orderings_Olinorder(T_b) % 209.18/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.59 => ( ! [B_y] : % 209.18/209.59 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2)) % 209.18/209.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_y),V_x_2)) ) % 209.18/209.59 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 209.18/209.59 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) ) ) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_Min__eqI,axiom, % 209.18/209.59 ! [V_x_2,V_A_2,T_b] : % 209.18/209.59 ( class_Orderings_Olinorder(T_b) % 209.18/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.18/209.59 => ( ! [B_y] : % 209.18/209.59 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2)) % 209.18/209.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_y)) ) % 209.18/209.59 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 209.18/209.59 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) ) ) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_r__into__rtrancl,axiom, % 209.18/209.59 ! [V_r_2,V_p_2,T_b] : % 209.18/209.59 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2)) % 209.18/209.59 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_rtrancl_Ortrancl__refl,axiom, % 209.18/209.59 ! [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))) ). % 209.18/209.59 % 209.18/209.59 fof(fact_rtrancl__Un__subset,axiom, % 209.18/209.59 ! [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)))) ). % 209.18/209.59 % 209.18/209.59 fof(fact_Range__rtrancl,axiom, % 209.18/209.59 ! [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)) ). % 209.18/209.59 % 209.18/209.59 fof(fact_Domain__rtrancl,axiom, % 209.18/209.59 ! [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)) ). % 209.18/209.59 % 209.18/209.59 fof(fact_Image__closed__trancl,axiom, % 209.18/209.59 ! [V_X_2,V_r_2,T_b] : % 209.18/209.59 ( 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)) % 209.18/209.59 => hAPP(c_Relation_OImage(T_b,T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_X_2) = V_X_2 ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_in__rtrancl__UnI,axiom, % 209.18/209.59 ! [V_S_2,V_R_2,V_x_2,T_b] : % 209.18/209.59 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 209.18/209.59 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) ) % 209.18/209.59 => 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)))) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_converse__rtrancl__into__rtrancl,axiom, % 209.18/209.59 ! [V_ca_2,V_r_2,V_ba_2,V_a_2,T_b] : % 209.18/209.59 ( 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)) % 209.18/209.59 => ( 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))) % 209.18/209.59 => 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))) ) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom, % 209.18/209.59 ! [V_ca_2,V_r_2,V_ba_2,V_a_2,T_b] : % 209.18/209.59 ( 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))) % 209.18/209.59 => ( 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)) % 209.18/209.59 => 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))) ) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_rtrancl__trans,axiom, % 209.18/209.59 ! [V_ca_2,V_r_2,V_ba_2,V_a_2,T_b] : % 209.18/209.59 ( 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))) % 209.18/209.59 => ( 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))) % 209.18/209.59 => 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))) ) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_rtrancl__Un__rtrancl,axiom, % 209.18/209.59 ! [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)) ). % 209.18/209.59 % 209.18/209.59 fof(fact_rtrancl__mono,axiom, % 209.18/209.59 ! [V_s_2,V_r_2,T_b] : % 209.18/209.59 ( 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)) % 209.18/209.59 => 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))) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_rtrancl__subset,axiom, % 209.18/209.59 ! [V_S_2,V_R_2,T_b] : % 209.18/209.59 ( 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)) % 209.18/209.59 => ( 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))) % 209.18/209.59 => c_Transitive__Closure_Ortrancl(T_b,V_S_2) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_rtrancl__subset__rtrancl,axiom, % 209.18/209.59 ! [V_s_2,V_r_2,T_b] : % 209.18/209.59 ( 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))) % 209.18/209.59 => 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))) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_rtrancl__idemp,axiom, % 209.18/209.59 ! [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) ). % 209.18/209.59 % 209.18/209.59 fof(fact_rtrancl__idemp__self__comp,axiom, % 209.18/209.59 ! [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) ). % 209.18/209.59 % 209.18/209.59 fof(fact_r__comp__rtrancl__eq,axiom, % 209.18/209.59 ! [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) ). % 209.18/209.59 % 209.18/209.59 fof(fact_refl__rtrancl,axiom, % 209.18/209.59 ! [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)) ). % 209.18/209.59 % 209.18/209.59 fof(fact_rtrancl__empty,axiom, % 209.18/209.59 ! [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) ). % 209.18/209.59 % 209.18/209.59 fof(fact_rtrancl__reflcl,axiom, % 209.18/209.59 ! [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) ). % 209.18/209.59 % 209.18/209.59 fof(fact_rtrancl__reflcl__absorb,axiom, % 209.18/209.59 ! [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) ). % 209.18/209.59 % 209.18/209.59 fof(fact_rtrancl__r__diff__Id,axiom, % 209.18/209.59 ! [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) ). % 209.18/209.59 % 209.18/209.59 fof(fact_rtrancl__unfold,axiom, % 209.18/209.59 ! [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)) ). % 209.18/209.59 % 209.18/209.59 fof(fact_Not__Domain__rtrancl,axiom, % 209.18/209.59 ! [V_y_2,V_R_2,V_x_2,T_b] : % 209.18/209.59 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_b),V_R_2))) % 209.18/209.59 => ( 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))) % 209.18/209.59 <=> V_x_2 = V_y_2 ) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_acc__downwards,axiom, % 209.18/209.59 ! [V_ba_2,V_r_2,V_a_2,T_b] : % 209.18/209.59 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 209.18/209.59 => ( 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))) % 209.18/209.59 => hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_acc__downwards__aux,axiom, % 209.18/209.59 ! [V_r_2,V_a_2,V_ba_2,T_b] : % 209.18/209.59 ( 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))) % 209.18/209.59 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 209.18/209.59 => hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_wf__insert,axiom, % 209.18/209.59 ! [V_r_2,V_x_2,V_y_2,T_b] : % 209.18/209.59 ( 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)) % 209.18/209.59 <=> ( c_Wellfounded_Owf(T_b,V_r_2) % 209.18/209.59 & ~ 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))) ) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_acyclic__insert,axiom, % 209.18/209.59 ! [V_r_2,V_x_2,V_y_2,T_b] : % 209.18/209.59 ( 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)) % 209.18/209.59 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 209.18/209.59 & ~ 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))) ) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_rtrancl__Int__subset,axiom, % 209.18/209.59 ! [V_r_2,V_s_2,T_b] : % 209.18/209.59 ( 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)) % 209.18/209.59 => ( 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)) % 209.18/209.59 => 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)) ) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_pred__nat__trancl__eq__le,axiom, % 209.18/209.59 ! [V_n_2,V_m_2] : % 209.18/209.59 ( 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))) % 209.18/209.59 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_trancl__insert,axiom, % 209.18/209.59 ! [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)))))) ). % 209.18/209.59 % 209.18/209.59 fof(fact_sequence__trans,axiom, % 209.18/209.59 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_b] : % 209.18/209.59 ( ! [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))) % 209.18/209.59 => 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))) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_rtrancl__imp__UN__rel__pow,axiom, % 209.18/209.59 ! [V_R_2,V_p_2,T_b] : % 209.18/209.59 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 209.18/209.59 => 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)))) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_trancl_Or__into__trancl,axiom, % 209.18/209.59 ! [V_r_2,V_ba_2,V_a_2,T_b] : % 209.18/209.59 ( 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)) % 209.18/209.59 => 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))) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_trancl__into__rtrancl,axiom, % 209.18/209.59 ! [V_r_2,V_ba_2,V_a_2,T_b] : % 209.18/209.59 ( 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))) % 209.18/209.59 => 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))) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_rtrancl__trancl__absorb,axiom, % 209.18/209.59 ! [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) ). % 209.18/209.59 % 209.18/209.59 fof(fact_trancl__rtrancl__absorb,axiom, % 209.18/209.59 ! [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) ). % 209.18/209.59 % 209.18/209.59 fof(fact_trancl__trans,axiom, % 209.18/209.59 ! [V_ca_2,V_r_2,V_ba_2,V_a_2,T_b] : % 209.18/209.59 ( 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))) % 209.18/209.59 => ( 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))) % 209.18/209.59 => 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))) ) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom, % 209.18/209.59 ! [V_ca_2,V_r_2,V_ba_2,V_a_2,T_b] : % 209.18/209.59 ( 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))) % 209.18/209.59 => ( 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)) % 209.18/209.59 => 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))) ) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_trancl__into__trancl2,axiom, % 209.18/209.59 ! [V_ca_2,V_r_2,V_ba_2,V_a_2,T_b] : % 209.18/209.59 ( 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)) % 209.18/209.59 => ( 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))) % 209.18/209.59 => 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))) ) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_r__r__into__trancl,axiom, % 209.18/209.59 ! [V_ca_2,V_R_2,V_ba_2,V_a_2,T_b] : % 209.18/209.59 ( 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)) % 209.18/209.59 => ( 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)) % 209.18/209.59 => 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))) ) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_comp__funpow,axiom, % 209.18/209.59 ! [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)) ). % 209.18/209.59 % 209.18/209.59 fof(fact_trancl__power,axiom, % 209.18/209.59 ! [V_R_2,V_p_2,T_b] : % 209.18/209.59 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_R_2))) % 209.18/209.59 <=> ? [B_n] : % 209.18/209.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)) % 209.18/209.59 & 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))) ) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_rel__pow__1,axiom, % 209.18/209.59 ! [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 ). % 209.18/209.59 % 209.18/209.59 fof(fact_trancl__empty,axiom, % 209.18/209.59 ! [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)) ). % 209.18/209.59 % 209.18/209.59 fof(fact_finite__trancl,axiom, % 209.18/209.59 ! [V_r_2,T_b] : % 209.18/209.59 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 209.18/209.59 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_rel__pow__commute,axiom, % 209.18/209.59 ! [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) ). % 209.18/209.59 % 209.18/209.59 fof(fact_wf__trancl,axiom, % 209.18/209.59 ! [V_r_2,T_b] : % 209.18/209.59 ( c_Wellfounded_Owf(T_b,V_r_2) % 209.18/209.59 => c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_trancl__range,axiom, % 209.18/209.59 ! [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) ). % 209.18/209.59 % 209.18/209.59 fof(fact_funpow__swap1,axiom, % 209.18/209.59 ! [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)) ). % 209.18/209.59 % 209.18/209.59 fof(fact_trancl__domain,axiom, % 209.18/209.59 ! [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) ). % 209.18/209.59 % 209.18/209.59 fof(fact_r__into__trancl_H,axiom, % 209.18/209.59 ! [V_r_2,V_p_2,T_b] : % 209.18/209.59 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2)) % 209.18/209.59 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_wf__exp,axiom, % 209.18/209.59 ! [V_R_2,V_n_2,T_b] : % 209.18/209.59 ( 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)) % 209.18/209.59 => c_Wellfounded_Owf(T_b,V_R_2) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_funpow__mult,axiom, % 209.18/209.59 ! [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) ). % 209.18/209.59 % 209.18/209.59 fof(fact_trancl__mono,axiom, % 209.18/209.59 ! [V_s_2,V_r_2,V_p_2,T_b] : % 209.18/209.59 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 209.18/209.59 => ( 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)) % 209.18/209.59 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_s_2))) ) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_trancl__unfold__right,axiom, % 209.18/209.59 ! [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) ). % 209.18/209.59 % 209.18/209.59 fof(fact_trancl__unfold__left,axiom, % 209.18/209.59 ! [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)) ). % 209.18/209.59 % 209.18/209.59 fof(fact_trancl__unfold,axiom, % 209.18/209.59 ! [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)) ). % 209.18/209.59 % 209.18/209.59 fof(fact_rtrancl__power,axiom, % 209.18/209.59 ! [V_R_2,V_p_2,T_b] : % 209.18/209.59 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 209.18/209.59 <=> ? [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))) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_rel__pow__imp__rtrancl,axiom, % 209.18/209.59 ! [V_R_2,V_n_2,V_p_2,T_b] : % 209.18/209.59 ( 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))) % 209.18/209.59 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_relpow_Osimps_I2_J,axiom, % 209.18/209.59 ! [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) ). % 209.18/209.59 % 209.18/209.59 fof(fact_rel__pow__add,axiom, % 209.18/209.59 ! [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)) ). % 209.18/209.59 % 209.18/209.59 fof(fact_relpow_Osimps_I1_J,axiom, % 209.18/209.59 ! [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) ). % 209.18/209.59 % 209.18/209.59 fof(fact_trancl__subset__Sigma,axiom, % 209.18/209.59 ! [V_A_2,V_r_2,T_b] : % 209.18/209.59 ( 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)))) % 209.18/209.59 => 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)))) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_less__than__def,axiom, % 209.18/209.59 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ). % 209.18/209.59 % 209.18/209.59 fof(fact_rtrancl__trancl__trancl,axiom, % 209.18/209.59 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] : % 209.18/209.59 ( 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))) % 209.18/209.59 => ( 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))) % 209.18/209.59 => 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))) ) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_trancl__rtrancl__trancl,axiom, % 209.18/209.59 ! [V_ca_2,V_r_2,V_ba_2,V_a_2,T_b] : % 209.18/209.59 ( 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))) % 209.18/209.59 => ( 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))) % 209.18/209.59 => 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))) ) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_rtrancl__into__trancl1,axiom, % 209.18/209.59 ! [V_ca_2,V_r_2,V_ba_2,V_a_2,T_b] : % 209.18/209.59 ( 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))) % 209.18/209.59 => ( 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)) % 209.18/209.59 => 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))) ) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_rtranclD,axiom, % 209.18/209.59 ! [V_R_2,V_ba_2,V_a_2,T_b] : % 209.18/209.59 ( 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))) % 209.18/209.59 => ( V_a_2 = V_ba_2 % 209.18/209.59 | ( V_a_2 != V_ba_2 % 209.18/209.59 & 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))) ) ) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_rtrancl__into__trancl2,axiom, % 209.18/209.59 ! [V_ca_2,V_r_2,V_ba_2,V_a_2,T_b] : % 209.18/209.59 ( 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)) % 209.18/209.59 => ( 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))) % 209.18/209.59 => 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))) ) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_rtrancl__eq__or__trancl,axiom, % 209.18/209.59 ! [V_R_2,V_y_2,V_x_2,T_b] : % 209.18/209.59 ( 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))) % 209.18/209.59 <=> ( V_x_2 = V_y_2 % 209.18/209.59 | ( V_x_2 != V_y_2 % 209.18/209.59 & 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))) ) ) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_acyclic__def,axiom, % 209.18/209.59 ! [V_r_2,T_b] : % 209.18/209.59 ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 209.18/209.59 <=> ! [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))) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_rel__pow__0__I,axiom, % 209.18/209.59 ! [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))) ). % 209.18/209.59 % 209.18/209.59 fof(fact_rel__pow__0__E,axiom, % 209.18/209.59 ! [V_R_2,V_y_2,V_x_2,T_b] : % 209.18/209.59 ( 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))) % 209.18/209.59 => V_x_2 = V_y_2 ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_rel__pow__Suc__I2,axiom, % 209.18/209.59 ! [V_n_2,V_z_2,V_R_2,V_y_2,V_x_2,T_b] : % 209.18/209.59 ( 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)) % 209.18/209.59 => ( 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))) % 209.18/209.59 => 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))) ) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_rel__pow__Suc__I,axiom, % 209.18/209.59 ! [V_z_2,V_R_2,V_n_2,V_y_2,V_x_2,T_b] : % 209.18/209.59 ( 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))) % 209.18/209.59 => ( 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)) % 209.18/209.59 => 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))) ) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_funpow_Osimps_I2_J,axiom, % 209.18/209.59 ! [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)) ). % 209.18/209.59 % 209.18/209.59 fof(fact_funpow__add,axiom, % 209.18/209.59 ! [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)) ). % 209.18/209.59 % 209.18/209.59 fof(fact_trancl__reflcl,axiom, % 209.18/209.59 ! [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) ). % 209.18/209.59 % 209.18/209.59 fof(fact_reflcl__trancl,axiom, % 209.18/209.59 ! [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) ). % 209.18/209.59 % 209.18/209.59 fof(fact_funpow_Osimps_I1_J,axiom, % 209.18/209.59 ! [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) ). % 209.18/209.59 % 209.18/209.59 fof(fact_trancl__Int__subset,axiom, % 209.18/209.59 ! [V_s_2,V_r_2,T_b] : % 209.18/209.59 ( 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)) % 209.18/209.59 => ( 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)) % 209.18/209.59 => 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)) ) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_trancl__subset__Field2,axiom, % 209.18/209.59 ! [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))))) ). % 209.18/209.59 % 209.18/209.59 fof(fact_rtrancl__is__UN__rel__pow,axiom, % 209.18/209.59 ! [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)) ). % 209.18/209.59 % 209.18/209.59 fof(fact_less__eq,axiom, % 209.18/209.59 ! [V_n_2,V_m_2] : % 209.18/209.59 ( 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))) % 209.18/209.59 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_funpow__code__def,axiom, % 209.18/209.59 ! [T_b] : c_Nat_Ofunpow(T_b) = c_Nat_Ocompow(T_b,T_b) ). % 209.18/209.59 % 209.18/209.59 fof(fact_irrefl__tranclI,axiom, % 209.18/209.59 ! [V_x_2,V_r_2,T_b] : % 209.18/209.59 ( 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)) % 209.18/209.59 => ~ 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))) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_rel__pow__E,axiom, % 209.18/209.59 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 209.18/209.59 ( 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))) % 209.18/209.59 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.18/209.59 => V_x_2 != V_z_2 ) % 209.18/209.59 => ~ ! [B_y,B_m] : % 209.18/209.59 ( V_n_2 = hAPP(c_Nat_OSuc,B_m) % 209.18/209.59 => ( 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))) % 209.18/209.59 => ~ 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)) ) ) ) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_rtrancl__converse,axiom, % 209.18/209.59 ! [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)) ). % 209.18/209.59 % 209.18/209.59 fof(fact_trancl__converse,axiom, % 209.18/209.59 ! [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)) ). % 209.18/209.59 % 209.18/209.59 fof(fact_converse__UNION,axiom, % 209.18/209.59 ! [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)) ). % 209.18/209.59 % 209.18/209.59 fof(fact_converseD,axiom, % 209.18/209.59 ! [V_r_2,V_ba_2,V_a_2,T_c,T_b] : % 209.18/209.59 ( 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))) % 209.18/209.59 => 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)) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_converseI,axiom, % 209.18/209.59 ! [V_r_2,V_ba_2,V_a_2,T_c,T_b] : % 209.18/209.59 ( 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)) % 209.18/209.59 => 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))) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_converse__iff,axiom, % 209.18/209.59 ! [V_r_2,V_ba_2,V_a_2,T_c,T_b] : % 209.18/209.59 ( 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))) % 209.18/209.59 <=> 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)) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_total__on__converse,axiom, % 209.18/209.59 ! [V_r_2,V_A_2,T_b] : % 209.18/209.59 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 209.18/209.59 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_acyclic__converse,axiom, % 209.18/209.59 ! [V_r_2,T_b] : % 209.18/209.59 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 209.18/209.59 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 209.18/209.59 % 209.18/209.59 fof(fact_converse__Id__on,axiom, % 209.18/209.59 ! [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) ). % 209.18/209.59 % 209.18/209.59 fof(fact_Field__converse,axiom, % 209.18/209.59 ! [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) ). % 209.18/209.59 % 209.18/209.59 fof(fact_converse__inv__image,axiom, % 209.18/209.59 ! [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) ). % 209.18/209.59 % 209.18/209.59 fof(fact_converse__Id,axiom, % 209.18/209.59 ! [T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId(T_b)) = c_Relation_OId(T_b) ). % 209.18/209.59 % 209.18/209.59 fof(fact_converse__Un,axiom, % 209.18/209.59 ! [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)) ). % 209.18/209.59 % 209.18/209.59 fof(fact_converse__converse,axiom, % 209.18/209.59 ! [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 ). % 209.18/209.59 % 209.18/209.59 fof(fact_converse__rel__comp,axiom, % 209.18/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_finite__converse,axiom, % 209.33/209.59 ! [V_r_2,T_c,T_b] : % 209.33/209.59 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))) % 209.33/209.59 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_b)),V_r_2)) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_converse__Int,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_refl__on__converse,axiom, % 209.33/209.59 ! [V_r_2,V_A_2,T_b] : % 209.33/209.59 ( c_Relation_Orefl__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 209.33/209.59 <=> c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_wf__converse__trancl,axiom, % 209.33/209.59 ! [V_r_2,T_b] : % 209.33/209.59 ( c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 209.33/209.59 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_equiv__comp__eq,axiom, % 209.33/209.59 ! [V_r_2,V_A_2,T_b] : % 209.33/209.59 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 209.33/209.59 => 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 ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Range__converse,axiom, % 209.33/209.59 ! [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) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Domain__converse,axiom, % 209.33/209.59 ! [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) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Range__def,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_rtrancl__converseI,axiom, % 209.33/209.59 ! [V_r_2,V_x_2,V_y_2,T_b] : % 209.33/209.59 ( 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))) % 209.33/209.59 => 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)))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_rtrancl__converseD,axiom, % 209.33/209.59 ! [V_r_2,V_y_2,V_x_2,T_b] : % 209.33/209.59 ( 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)))) % 209.33/209.59 => 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))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_trancl__converseD,axiom, % 209.33/209.59 ! [V_r_2,V_y_2,V_x_2,T_b] : % 209.33/209.59 ( 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)))) % 209.33/209.59 => 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)))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_trancl__converseI,axiom, % 209.33/209.59 ! [V_r_2,V_y_2,V_x_2,T_b] : % 209.33/209.59 ( 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)))) % 209.33/209.59 => 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)))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Image__subset__eq,axiom, % 209.33/209.59 ! [V_B_2,V_A_2,V_r_2,T_c,T_b] : % 209.33/209.59 ( 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)) % 209.33/209.59 <=> 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))))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_refl__on__comp__subset,axiom, % 209.33/209.59 ! [V_r_2,V_A_2,T_b] : % 209.33/209.59 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 209.33/209.59 => 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))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_comp__equivI,axiom, % 209.33/209.59 ! [V_A_2,V_r_2,T_b] : % 209.33/209.59 ( 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 % 209.33/209.59 => ( hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) = V_A_2 % 209.33/209.59 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_finite__acyclic__wf__converse,axiom, % 209.33/209.59 ! [V_r_2,T_b] : % 209.33/209.59 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 209.33/209.59 => ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 209.33/209.59 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_converse__def,axiom, % 209.33/209.59 ! [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))) ). % 209.33/209.59 % 209.33/209.59 fof(fact_rel__pow__E2,axiom, % 209.33/209.59 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 209.33/209.59 ( 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))) % 209.33/209.59 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.33/209.59 => V_x_2 != V_z_2 ) % 209.33/209.59 => ~ ! [B_y,B_m] : % 209.33/209.59 ( V_n_2 = hAPP(c_Nat_OSuc,B_m) % 209.33/209.59 => ( 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)) % 209.33/209.59 => ~ 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))) ) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_acyclicI,axiom, % 209.33/209.59 ! [V_r_2,T_b] : % 209.33/209.59 ( ! [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))) % 209.33/209.59 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Image__Int__eq,axiom, % 209.33/209.59 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] : % 209.33/209.59 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_R_2)) % 209.33/209.59 => 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)) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_rtrancl__Un__separator__converseE,axiom, % 209.33/209.59 ! [V_Q_2,V_Pa_2,V_ba_2,V_a_2,T_b] : % 209.33/209.59 ( 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)))) % 209.33/209.59 => ( ! [B_x] : % 209.33/209.59 ( 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))) % 209.33/209.59 => ! [B_y] : % 209.33/209.59 ( 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)) % 209.33/209.59 => B_y = B_x ) ) % 209.33/209.59 => 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))) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_single__valued__subset,axiom, % 209.33/209.59 ! [V_s_2,V_r_2,T_c,T_b] : % 209.33/209.59 ( 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)) % 209.33/209.59 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2) % 209.33/209.59 => c_Relation_Osingle__valued(T_b,T_c,V_r_2) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_single__valued__rel__comp,axiom, % 209.33/209.59 ! [V_s_2,T_d,V_r_2,T_c,T_b] : % 209.33/209.59 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 209.33/209.59 => ( c_Relation_Osingle__valued(T_c,T_d,V_s_2) % 209.33/209.59 => 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)) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_single__valued__Id,axiom, % 209.33/209.59 ! [T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId(T_b)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_single__valued__rel__pow,axiom, % 209.33/209.59 ! [V_n_2,V_R_2,T_b] : % 209.33/209.59 ( c_Relation_Osingle__valued(T_b,T_b,V_R_2) % 209.33/209.59 => 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)) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_single__valued__Id__on,axiom, % 209.33/209.59 ! [V_A_2,T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_single__valued__def,axiom, % 209.33/209.59 ! [V_r_2,T_c,T_b] : % 209.33/209.59 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 209.33/209.59 <=> ! [B_x,B_y] : % 209.33/209.59 ( 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)) % 209.33/209.59 => ! [B_z] : % 209.33/209.59 ( 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)) % 209.33/209.59 => B_y = B_z ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_single__valuedD,axiom, % 209.33/209.59 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_c,T_b] : % 209.33/209.59 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 209.33/209.59 => ( 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)) % 209.33/209.59 => ( 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)) % 209.33/209.59 => V_y_2 = V_z_2 ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_single__valued__confluent,axiom, % 209.33/209.59 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] : % 209.33/209.59 ( c_Relation_Osingle__valued(T_b,T_b,V_r_2) % 209.33/209.59 => ( 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))) % 209.33/209.59 => ( 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))) % 209.33/209.59 => ( 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))) % 209.33/209.59 | 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))) ) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_rtrancl__Un__separatorE,axiom, % 209.33/209.59 ! [V_Q_2,V_Pa_2,V_ba_2,V_a_2,T_b] : % 209.33/209.59 ( 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)))) % 209.33/209.59 => ( ! [B_x] : % 209.33/209.59 ( 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))) % 209.33/209.59 => ! [B_y] : % 209.33/209.59 ( 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)) % 209.33/209.59 => B_x = B_y ) ) % 209.33/209.59 => 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))) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_rel__pow__Suc__D2,axiom, % 209.33/209.59 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 209.33/209.59 ( 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))) % 209.33/209.59 => ? [B_y] : % 209.33/209.59 ( 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)) % 209.33/209.59 & 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))) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_rel__pow__Suc__E,axiom, % 209.33/209.59 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 209.33/209.59 ( 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))) % 209.33/209.59 => ~ ! [B_y] : % 209.33/209.59 ( 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))) % 209.33/209.59 => ~ 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)) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_rel__pow__Suc__E2,axiom, % 209.33/209.59 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] : % 209.33/209.59 ( 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))) % 209.33/209.59 => ~ ! [B_y] : % 209.33/209.59 ( 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)) % 209.33/209.59 => ~ 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))) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_tranclD2,axiom, % 209.33/209.59 ! [V_R_2,V_y_2,V_x_2,T_b] : % 209.33/209.59 ( 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))) % 209.33/209.59 => ? [B_z] : % 209.33/209.59 ( 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))) % 209.33/209.59 & 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)) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_tranclD,axiom, % 209.33/209.59 ! [V_R_2,V_y_2,V_x_2,T_b] : % 209.33/209.59 ( 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))) % 209.33/209.59 => ? [B_z] : % 209.33/209.59 ( 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)) % 209.33/209.59 & 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))) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_wf__no__infinite__down__chainE,axiom, % 209.33/209.59 ! [V_f_2,V_r_2,T_b] : % 209.33/209.59 ( c_Wellfounded_Owf(T_b,V_r_2) % 209.33/209.59 => ~ ! [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)) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_com_Osize_I11_J,axiom, % 209.33/209.59 ! [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))) ). % 209.33/209.59 % 209.33/209.59 fof(fact_com_Osimps_I35_J,axiom, % 209.33/209.59 ! [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) ). % 209.33/209.59 % 209.33/209.59 fof(fact_com_Osimps_I34_J,axiom, % 209.33/209.59 ! [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) ). % 209.33/209.59 % 209.33/209.59 fof(fact_com_Osimps_I10_J,axiom, % 209.33/209.59 ! [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) ). % 209.33/209.59 % 209.33/209.59 fof(fact_com_Osimps_I11_J,axiom, % 209.33/209.59 ! [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 ). % 209.33/209.59 % 209.33/209.59 fof(fact_com_Osimps_I2_J,axiom, % 209.33/209.59 ! [V_com_H_2,V_fun_H_2,V_loc_H_2,V_com_2,V_fun_2,V_loc_2] : % 209.33/209.59 ( 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) % 209.33/209.59 <=> ( V_loc_2 = V_loc_H_2 % 209.33/209.59 & V_fun_2 = V_fun_H_2 % 209.33/209.59 & V_com_2 = V_com_H_2 ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_com_Osimps_I38_J,axiom, % 209.33/209.59 ! [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) ). % 209.33/209.59 % 209.33/209.59 fof(fact_com_Osimps_I39_J,axiom, % 209.33/209.59 ! [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) ). % 209.33/209.59 % 209.33/209.59 fof(fact_com_Osimps_I22_J,axiom, % 209.33/209.59 ! [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) ). % 209.33/209.59 % 209.33/209.59 fof(fact_com_Osimps_I23_J,axiom, % 209.33/209.59 ! [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) ). % 209.33/209.59 % 209.33/209.59 fof(fact_com_Osimps_I36_J,axiom, % 209.33/209.59 ! [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) ). % 209.33/209.59 % 209.33/209.59 fof(fact_com_Osimps_I37_J,axiom, % 209.33/209.59 ! [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) ). % 209.33/209.59 % 209.33/209.59 fof(fact_com_Osize_I3_J,axiom, % 209.33/209.59 ! [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))) ). % 209.33/209.59 % 209.33/209.59 fof(fact_setsum__reindex__cong,axiom, % 209.33/209.59 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] : % 209.33/209.59 ( class_Groups_Ocomm__monoid__add(T_d) % 209.33/209.59 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 209.33/209.59 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) % 209.33/209.59 => ( ! [B_a] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 209.33/209.59 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) ) % 209.33/209.59 => 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) ) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_scomp__unfold,axiom, % 209.33/209.59 ! [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))) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Pair__scomp,axiom, % 209.33/209.59 ! [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) ). % 209.33/209.59 % 209.33/209.59 fof(fact_scomp__scomp,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_scomp__Pair,axiom, % 209.33/209.59 ! [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 ). % 209.33/209.59 % 209.33/209.59 fof(fact_scomp__apply,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_scomp__def,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_iterate_Osimps,axiom, % 209.33/209.59 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] : % 209.33/209.59 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 209.33/209.59 => 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) ) % 209.33/209.59 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 209.33/209.59 => 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)) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_setsum__ivl__cong,axiom, % 209.33/209.59 ! [V_g_2,V_f_2,V_d_2,V_ba_2,V_ca_2,V_a_2,T_b,T_c] : % 209.33/209.59 ( ( class_Groups_Ocomm__monoid__add(T_c) % 209.33/209.59 & class_Orderings_Oord(T_b) ) % 209.33/209.59 => ( V_a_2 = V_ca_2 % 209.33/209.59 => ( V_ba_2 = V_d_2 % 209.33/209.59 => ( ! [B_x] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),B_x)) % 209.33/209.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_d_2)) % 209.33/209.59 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) % 209.33/209.59 => 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)) ) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_log_Osimps,axiom, % 209.33/209.59 ! [V_i,V_b] : % 209.33/209.59 ( ( ( 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))) % 209.33/209.59 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) ) % 209.33/209.59 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) ) % 209.33/209.59 & ( ~ ( 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))) % 209.33/209.59 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) ) % 209.33/209.59 => 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))) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_minus__shift__def,axiom, % 209.33/209.59 ! [V_r,V_l,V_k] : % 209.33/209.59 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 209.33/209.59 => 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) ) % 209.33/209.59 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 209.33/209.59 => 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) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_inc__shift__def,axiom, % 209.33/209.59 ! [V_k,V_v] : % 209.33/209.59 ( ( V_v = V_k % 209.33/209.59 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) ) % 209.33/209.59 & ( V_v != V_k % 209.33/209.59 => 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)) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_range,axiom, % 209.33/209.59 ! [V_s,V_k] : % 209.33/209.59 ( 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)) % 209.33/209.59 => 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)) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_nat__intermed__int__val,axiom, % 209.33/209.59 ! [V_k_2,V_f_2,V_n_2,V_m_2] : % 209.33/209.59 ( ! [B_i] : % 209.33/209.59 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i)) % 209.33/209.59 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) ) % 209.33/209.59 => 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))) ) % 209.33/209.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) % 209.33/209.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2)) % 209.33/209.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2))) % 209.33/209.59 => ? [B_i] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i)) % 209.33/209.59 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2)) % 209.33/209.59 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom, % 209.33/209.59 ! [V_x_2,V_A_2,T_b] : % 209.33/209.59 ( class_Orderings_Olinorder(T_b) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 209.33/209.59 => 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) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_fold__empty,axiom, % 209.33/209.59 ! [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 ). % 209.33/209.59 % 209.33/209.59 fof(fact_fold__image__def,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_folding_Oeq__fold,axiom, % 209.33/209.59 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 209.33/209.59 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => 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) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_fold__def,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_union__fold__insert,axiom, % 209.33/209.59 ! [V_B_2,V_A_2,T_b] : % 209.33/209.59 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => 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) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_fold__sup__insert,axiom, % 209.33/209.59 ! [V_a_2,V_ba_2,V_A_2,T_b] : % 209.33/209.59 ( class_Lattices_Osemilattice__sup(T_b) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => 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)) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_fold__inf__insert,axiom, % 209.33/209.59 ! [V_a_2,V_ba_2,V_A_2,T_b] : % 209.33/209.59 ( class_Lattices_Osemilattice__inf(T_b) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => 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)) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_min__max_Ofold__inf__insert,axiom, % 209.33/209.59 ! [V_a_2,V_ba_2,V_A_2,T_b] : % 209.33/209.59 ( class_Orderings_Olinorder(T_b) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => 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)) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_min__max_Ofold__sup__insert,axiom, % 209.33/209.59 ! [V_a_2,V_ba_2,V_A_2,T_b] : % 209.33/209.59 ( class_Orderings_Olinorder(T_b) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => 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)) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_sup__Sup__fold__sup,axiom, % 209.33/209.59 ! [V_B_2,V_A_2,T_b] : % 209.33/209.59 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => 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) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_inf__Inf__fold__inf,axiom, % 209.33/209.59 ! [V_B_2,V_A_2,T_b] : % 209.33/209.59 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => 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) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom, % 209.33/209.59 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] : % 209.33/209.59 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => 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) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom, % 209.33/209.59 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] : % 209.33/209.59 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => 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)) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_sup__SUPR__fold__sup,axiom, % 209.33/209.59 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 209.33/209.59 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => 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) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom, % 209.33/209.59 ! [V_a_2,V_A_2,V_F_2,V_f_2,T_b] : % 209.33/209.59 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => 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) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_sup__le__fold__sup,axiom, % 209.33/209.59 ! [V_ba_2,V_a_2,V_A_2,T_b] : % 209.33/209.59 ( class_Lattices_Osemilattice__sup(T_b) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 209.33/209.59 => 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))) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_fold__inf__le__inf,axiom, % 209.33/209.59 ! [V_ba_2,V_a_2,V_A_2,T_b] : % 209.33/209.59 ( class_Lattices_Osemilattice__inf(T_b) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 209.33/209.59 => 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))) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_min__max_Ofold__inf__le__inf,axiom, % 209.33/209.59 ! [V_ba_2,V_a_2,V_A_2,T_b] : % 209.33/209.59 ( class_Orderings_Olinorder(T_b) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 209.33/209.59 => 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))) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_min__max_Osup__le__fold__sup,axiom, % 209.33/209.59 ! [V_ba_2,V_a_2,V_A_2,T_b] : % 209.33/209.59 ( class_Orderings_Olinorder(T_b) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 209.33/209.59 => 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))) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Sup__fold__sup,axiom, % 209.33/209.59 ! [V_A_2,T_b] : % 209.33/209.59 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => 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) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Inf__fold__inf,axiom, % 209.33/209.59 ! [V_A_2,T_b] : % 209.33/209.59 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => 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) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_fold1__eq__fold__idem,axiom, % 209.33/209.59 ! [V_a_2,V_A_2,T_b] : % 209.33/209.59 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => 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) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom, % 209.33/209.59 ! [V_a_2,V_A_2,T_b] : % 209.33/209.59 ( class_Lattices_Olattice(T_b) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => 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) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom, % 209.33/209.59 ! [V_a_2,V_A_2,T_b] : % 209.33/209.59 ( class_Lattices_Olattice(T_b) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => 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) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Min_Oeq__fold__idem_H,axiom, % 209.33/209.59 ! [V_a_2,V_A_2,T_b] : % 209.33/209.59 ( class_Orderings_Olinorder(T_b) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => 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) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Max_Oeq__fold__idem_H,axiom, % 209.33/209.59 ! [V_a_2,V_A_2,T_b] : % 209.33/209.59 ( class_Orderings_Olinorder(T_b) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => 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) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom, % 209.33/209.59 ! [V_a_2,V_A_2,T_b] : % 209.33/209.59 ( class_Orderings_Olinorder(T_b) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => 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) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom, % 209.33/209.59 ! [V_a_2,V_A_2,T_b] : % 209.33/209.59 ( class_Orderings_Olinorder(T_b) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => 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) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_minus__fold__remove,axiom, % 209.33/209.59 ! [V_B_2,V_A_2,T_b] : % 209.33/209.59 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => 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) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_folding__one_Oeq__fold_H,axiom, % 209.33/209.59 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 209.33/209.59 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 209.33/209.59 => 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) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_SUPR__fold__sup,axiom, % 209.33/209.59 ! [V_f_2,V_A_2,T_b,T_c] : % 209.33/209.59 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => 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) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_fold1__eq__fold,axiom, % 209.33/209.59 ! [V_a_2,V_A_2,T_b] : % 209.33/209.59 ( class_Groups_Oab__semigroup__mult(T_b) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 209.33/209.59 => 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) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Sup__fin_Oeq__fold_H,axiom, % 209.33/209.59 ! [V_x_2,V_A_2,T_b] : % 209.33/209.59 ( class_Lattices_Olattice(T_b) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 209.33/209.59 => 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) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Inf__fin_Oeq__fold_H,axiom, % 209.33/209.59 ! [V_x_2,V_A_2,T_b] : % 209.33/209.59 ( class_Lattices_Olattice(T_b) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 209.33/209.59 => 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) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Min_Oeq__fold_H,axiom, % 209.33/209.59 ! [V_x_2,V_A_2,T_b] : % 209.33/209.59 ( class_Orderings_Olinorder(T_b) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 209.33/209.59 => 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) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Max_Oeq__fold_H,axiom, % 209.33/209.59 ! [V_x_2,V_A_2,T_b] : % 209.33/209.59 ( class_Orderings_Olinorder(T_b) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 209.33/209.59 => 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) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom, % 209.33/209.59 ! [V_x_2,V_A_2,T_b] : % 209.33/209.59 ( class_Orderings_Olinorder(T_b) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 209.33/209.59 => 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) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_fun__left__comm_Ofold__rec,axiom, % 209.33/209.59 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 209.33/209.59 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 209.33/209.59 => 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)))))) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_fun__left__comm_Ofold__insert__remove,axiom, % 209.33/209.59 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] : % 209.33/209.59 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => 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)))))) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_fun__left__comm_Ofold__graph__determ,axiom, % 209.33/209.59 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 209.33/209.59 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2)) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 209.33/209.59 => V_y_2 = V_x_2 ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_fun__left__comm_Ofun__left__comm,axiom, % 209.33/209.59 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] : % 209.33/209.59 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 209.33/209.59 => 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)) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom, % 209.33/209.59 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 209.33/209.59 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 209.33/209.59 => 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)) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_fun__left__comm,axiom, % 209.33/209.59 ! [T_b] : % 209.33/209.59 ( class_Groups_Oab__semigroup__mult(T_b) % 209.33/209.59 => c_Finite__Set_Ofun__left__comm(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_fun__left__comm_Ofun__comp__comm,axiom, % 209.33/209.59 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 209.33/209.59 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 209.33/209.59 => 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)) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_fun__left__comm_Ofold__fun__comm,axiom, % 209.33/209.59 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 209.33/209.59 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => 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) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_fun__left__comm_Ofold__equality,axiom, % 209.33/209.59 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 209.33/209.59 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 209.33/209.59 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_fun__left__comm_Ofold__graph__fold,axiom, % 209.33/209.59 ! [V_z_2,V_A_2,V_f_2,T_c,T_b] : % 209.33/209.59 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => 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))) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_fun__left__comm_Ofold__insert,axiom, % 209.33/209.59 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 209.33/209.59 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 209.33/209.59 => 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)) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_fun__left__comm_Ofold__insert2,axiom, % 209.33/209.59 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 209.33/209.59 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 209.33/209.59 => 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) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom, % 209.33/209.59 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 209.33/209.59 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 209.33/209.59 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 209.33/209.59 => ? [B_y_H] : % 209.33/209.59 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H) % 209.33/209.59 & 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)) ) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INFI__fold__inf,axiom, % 209.33/209.59 ! [V_f_2,V_A_2,T_b,T_c] : % 209.33/209.59 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => 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) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INF1__E,axiom, % 209.33/209.59 ! [V_a_2,V_ba_2,V_B_2,V_A_2,T_c,T_b] : % 209.33/209.59 ( 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)) % 209.33/209.59 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_ba_2)) % 209.33/209.59 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INF1__D,axiom, % 209.33/209.59 ! [V_a_2,V_ba_2,V_B_2,V_A_2,T_c,T_b] : % 209.33/209.59 ( 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)) % 209.33/209.59 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 209.33/209.59 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_ba_2)) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INT__E,axiom, % 209.33/209.59 ! [V_a_2,V_B_2,V_A_2,T_c,V_ba_2,T_b] : % 209.33/209.59 ( 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))) % 209.33/209.59 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(V_B_2,V_a_2))) % 209.33/209.59 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INT__D,axiom, % 209.33/209.59 ! [V_a_2,V_B_2,V_A_2,T_c,V_ba_2,T_b] : % 209.33/209.59 ( 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))) % 209.33/209.59 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) % 209.33/209.59 => hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(V_B_2,V_a_2))) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INF2__D,axiom, % 209.33/209.59 ! [V_a_2,V_ca_2,V_ba_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 209.33/209.59 ( 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)) % 209.33/209.59 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 209.33/209.59 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_ba_2),V_ca_2)) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INF2__E,axiom, % 209.33/209.59 ! [V_a_2,V_ca_2,V_ba_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 209.33/209.59 ( 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)) % 209.33/209.59 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_ba_2),V_ca_2)) % 209.33/209.59 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_finite__INT,axiom, % 209.33/209.59 ! [V_A_2,T_c,V_I_2,T_b] : % 209.33/209.59 ( ? [B_x] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2)) % 209.33/209.59 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) ) % 209.33/209.59 => 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))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Compl__UN,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Compl__INT,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_converse__INTER,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_UN__simps_I7_J,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_UN__extend__simps_I7_J,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INT__extend__simps_I1_J,axiom, % 209.33/209.59 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 209.33/209.59 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.33/209.59 => 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 ) % 209.33/209.59 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.33/209.59 => 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)) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INT__extend__simps_I2_J,axiom, % 209.33/209.59 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 209.33/209.59 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.33/209.59 => 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 ) % 209.33/209.59 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.33/209.59 => 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)) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INT__insert__distrib,axiom, % 209.33/209.59 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2)) % 209.33/209.59 => 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)) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INT__extend__simps_I5_J,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INT__simps_I5_J,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INTER__UNIV__conv_I1_J,axiom, % 209.33/209.59 ! [V_B_2,V_A_2,T_c,T_b] : % 209.33/209.59 ( 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) % 209.33/209.59 <=> ! [B_x] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 209.33/209.59 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INTER__UNIV__conv_I2_J,axiom, % 209.33/209.59 ! [V_B_2,V_A_2,T_b,T_c] : % 209.33/209.59 ( 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)) % 209.33/209.59 <=> ! [B_x] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 209.33/209.59 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INT__simps_I7_J,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INT__simps_I6_J,axiom, % 209.33/209.59 ! [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) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INT__extend__simps_I7_J,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Un__INT__distrib,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INT__extend__simps_I6_J,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Un__INT__distrib2,axiom, % 209.33/209.59 ! [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))) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INT__Int__distrib,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Pow__INT__eq,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INFI__apply,axiom, % 209.33/209.59 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] : % 209.33/209.59 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 209.33/209.59 => 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)) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INF__commute,axiom, % 209.33/209.59 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] : % 209.33/209.59 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 209.33/209.59 => 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))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INT__iff,axiom, % 209.33/209.59 ! [V_B_2,V_A_2,T_c,V_ba_2,T_b] : % 209.33/209.59 ( 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))) % 209.33/209.59 <=> ! [B_x] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 209.33/209.59 => hBOOL(hAPP(hAPP(c_member(T_b),V_ba_2),hAPP(V_B_2,B_x))) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Inter__def,axiom, % 209.33/209.59 ! [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))) ). % 209.33/209.59 % 209.33/209.59 fof(fact_vimage__INT,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INF__INT__eq2,axiom, % 209.33/209.59 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] : % 209.33/209.59 ( 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)) % 209.33/209.59 <=> 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))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INT__constant,axiom, % 209.33/209.59 ! [V_ca_2,T_c,T_b,V_A_2] : % 209.33/209.59 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.33/209.59 => 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)) ) % 209.33/209.59 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.33/209.59 => 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 ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INT__empty,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INF__const,axiom, % 209.33/209.59 ! [V_M_2,T_b,V_A_2,T_c] : % 209.33/209.59 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 209.33/209.59 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.33/209.59 => 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 ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INT__absorb,axiom, % 209.33/209.59 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2)) % 209.33/209.59 => 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) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INF__INT__eq,axiom, % 209.33/209.59 ! [V_x_2,V_r_2,T_c,T_b] : % 209.33/209.59 ( 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)) % 209.33/209.59 <=> 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))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INT__extend__simps_I10_J,axiom, % 209.33/209.59 ! [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) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INT__simps_I10_J,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INT__extend__simps_I8_J,axiom, % 209.33/209.59 ! [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) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INT__simps_I8_J,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INFI__bool__eq,axiom, % 209.33/209.59 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_HOL_Obool) = c_Set_OBall(T_b) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INT__insert,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Collect__ball__eq,axiom, % 209.33/209.59 ! [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))) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INT__Un,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INT__simps_I9_J,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INT__extend__simps_I9_J,axiom, % 209.33/209.59 ! [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) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INT__lower,axiom, % 209.33/209.59 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 209.33/209.59 => 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))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_le__INF__iff,axiom, % 209.33/209.59 ! [V_M_2,V_A_2,T_c,V_u_2,T_b] : % 209.33/209.59 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 209.33/209.59 => ( 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))) % 209.33/209.59 <=> ! [B_x] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 209.33/209.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INT__subset__iff,axiom, % 209.33/209.59 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : % 209.33/209.59 ( 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))) % 209.33/209.59 <=> ! [B_x] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2)) % 209.33/209.59 => 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))) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INF__less__iff,axiom, % 209.33/209.59 ! [V_a_2,V_f_2,V_A_2,T_c,T_b] : % 209.33/209.59 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 209.33/209.59 & class_Orderings_Olinorder(T_b) ) % 209.33/209.59 => ( 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)) % 209.33/209.59 <=> ? [B_x] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 209.33/209.59 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Image__INT__subset,axiom, % 209.33/209.59 ! [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)))) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Un__Inter,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INTER__eq__Inter__image,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Inter__image__eq,axiom, % 209.33/209.59 ! [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) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INF__subset,axiom, % 209.33/209.59 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 209.33/209.59 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 209.33/209.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 209.33/209.59 => 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))) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INTER__def,axiom, % 209.33/209.59 ! [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)))) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INT__simps_I1_J,axiom, % 209.33/209.59 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 209.33/209.59 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.33/209.59 => 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)) ) % 209.33/209.59 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.33/209.59 => 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) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INT__simps_I2_J,axiom, % 209.33/209.59 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 209.33/209.59 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.33/209.59 => 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)) ) % 209.33/209.59 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.33/209.59 => 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)) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INT__extend__simps_I3_J,axiom, % 209.33/209.59 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 209.33/209.59 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.33/209.59 => 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) ) % 209.33/209.59 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.33/209.59 => 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)) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INT__simps_I3_J,axiom, % 209.33/209.59 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 209.33/209.59 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.33/209.59 => 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)) ) % 209.33/209.59 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.33/209.59 => 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) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INT__extend__simps_I4_J,axiom, % 209.33/209.59 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 209.33/209.59 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.33/209.59 => 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 ) % 209.33/209.59 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.33/209.59 => 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)) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_bij__image__INT,axiom, % 209.33/209.59 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] : % 209.33/209.59 ( 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))) % 209.33/209.59 => 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)) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INF__leI,axiom, % 209.33/209.59 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] : % 209.33/209.59 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 209.33/209.59 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2)) % 209.33/209.59 => 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))) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Int__Inter__image,axiom, % 209.33/209.59 ! [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))) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INT__greaterThan__UNIV,axiom, % 209.33/209.59 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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INT__simps_I4_J,axiom, % 209.33/209.59 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 209.33/209.59 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.33/209.59 => 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)) ) % 209.33/209.59 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.33/209.59 => 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)) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Image__INT__eq,axiom, % 209.33/209.59 ! [V_B_2,T_d,V_A_2,V_r_2,T_c,T_b] : % 209.33/209.59 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) % 209.33/209.59 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool)) % 209.33/209.59 => 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)) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_inf__INFI__fold__inf,axiom, % 209.33/209.59 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 209.33/209.59 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => 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) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom, % 209.33/209.59 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_c,T_b] : % 209.33/209.59 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 209.33/209.59 => ( 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)) % 209.33/209.59 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 209.33/209.59 => ~ ! [B_y] : % 209.33/209.59 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y) % 209.33/209.59 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_image__INT,axiom, % 209.33/209.59 ! [V_j_2,V_B_2,V_A_2,T_d,V_C_2,V_f_2,T_c,T_b] : % 209.33/209.59 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 209.33/209.59 => ( ! [B_x] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2)) % 209.33/209.59 => 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)) ) % 209.33/209.59 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_j_2),V_A_2)) % 209.33/209.59 => 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)) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INF1__iff,axiom, % 209.33/209.59 ! [V_ba_2,V_B_2,V_A_2,T_c,T_b] : % 209.33/209.59 ( 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)) % 209.33/209.59 <=> ! [B_x] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 209.33/209.59 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_ba_2)) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_INF2__iff,axiom, % 209.33/209.59 ! [V_ca_2,V_ba_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 209.33/209.59 ( 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)) % 209.33/209.59 <=> ! [B_x] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 209.33/209.59 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_ba_2),V_ca_2)) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_inj__on__INTER,axiom, % 209.33/209.59 ! [V_A_2,V_f_2,T_d,T_c,T_b,V_I_2] : % 209.33/209.59 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.33/209.59 => ( ! [B_i] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_I_2)) % 209.33/209.59 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(V_A_2,B_i)) ) % 209.33/209.59 => 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)) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_min__max_Ofold__sup__le__sup,axiom, % 209.33/209.59 ! [V_ca_2,V_ba_2,V_A_2,T_b] : % 209.33/209.59 ( class_Orderings_Olinorder(T_b) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => ( ! [B_x] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 209.33/209.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_ba_2)) ) % 209.33/209.59 => 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))) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_min__max_Oinf__le__fold__inf,axiom, % 209.33/209.59 ! [V_ca_2,V_ba_2,V_A_2,T_b] : % 209.33/209.59 ( class_Orderings_Olinorder(T_b) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => ( ! [B_x] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 209.33/209.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),B_x)) ) % 209.33/209.59 => 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))) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_inf__le__fold__inf,axiom, % 209.33/209.59 ! [V_ca_2,V_ba_2,V_A_2,T_b] : % 209.33/209.59 ( class_Lattices_Osemilattice__inf(T_b) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => ( ! [B_x] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 209.33/209.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ba_2),B_x)) ) % 209.33/209.59 => 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))) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_fold__sup__le__sup,axiom, % 209.33/209.59 ! [V_ca_2,V_ba_2,V_A_2,T_b] : % 209.33/209.59 ( class_Lattices_Osemilattice__sup(T_b) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => ( ! [B_x] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 209.33/209.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_ba_2)) ) % 209.33/209.59 => 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))) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_mod__div__decomp,axiom, % 209.33/209.59 ! [V_b,V_a,T_a] : % 209.33/209.59 ( class_Divides_Osemiring__div(T_a) % 209.33/209.59 => 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)) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_folding__image__simple__idem_Ounion__idem,axiom, % 209.33/209.59 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 209.33/209.59 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 209.33/209.59 => 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)) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_transfer__nat__int__set__cong,axiom, % 209.33/209.59 ! [V_P_H_2,V_Pa_2] : % 209.33/209.59 ( ! [B_x] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 209.33/209.59 => ( hBOOL(hAPP(V_Pa_2,B_x)) % 209.33/209.59 <=> hBOOL(hAPP(V_P_H_2,B_x)) ) ) % 209.33/209.59 => 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)) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_folding__image__simple__idem_Oidem,axiom, % 209.33/209.59 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 209.33/209.59 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 209.33/209.59 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_folding__image__simple__idem_Oin__idem,axiom, % 209.33/209.59 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 209.33/209.59 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 209.33/209.59 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 209.33/209.59 => 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) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom, % 209.33/209.59 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 209.33/209.59 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 209.33/209.59 => 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)) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_folding__image__simple__idem_Osubset__idem,axiom, % 209.33/209.59 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 209.33/209.59 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 209.33/209.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 209.33/209.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2)) % 209.33/209.59 => 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) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_UnionE,axiom, % 209.33/209.59 ! [V_C_2,V_A_2,T_b] : % 209.33/209.59 ( 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))) % 209.33/209.59 => ~ ! [B_X] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) % 209.33/209.59 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_converseE,axiom, % 209.33/209.59 ! [V_r_2,V_yx_2,T_c,T_b] : % 209.33/209.59 ( 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))) % 209.33/209.59 => ~ ! [B_x,B_y] : % 209.33/209.59 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_y),B_x) % 209.33/209.59 => ~ 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)) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_rel__compE,axiom, % 209.33/209.59 ! [V_s_2,V_r_2,T_d,V_xz_2,T_c,T_b] : % 209.33/209.59 ( 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))) % 209.33/209.59 => ~ ! [B_x,B_y,B_z] : % 209.33/209.59 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z) % 209.33/209.59 => ( 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)) % 209.33/209.59 => ~ 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)) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Nitpick_Oplus__frac__def,axiom, % 209.33/209.59 ! [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))) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Nitpick_Otimes__frac__def,axiom, % 209.33/209.59 ! [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))) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Nitpick_Oof__frac__def,axiom, % 209.33/209.59 ! [V_q,T_a,T_b] : % 209.33/209.59 ( ( class_Rings_Oinverse(T_b) % 209.33/209.59 & class_Rings_Oring__1(T_b) ) % 209.33/209.59 => 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))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Nitpick_Oinverse__frac__def,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Nitpick_Ouminus__frac__def,axiom, % 209.33/209.59 ! [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))) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Nitpick_Oless__frac__def,axiom, % 209.33/209.59 ! [V_r_2,V_q_2,T_b] : % 209.33/209.59 ( c_Nitpick_Oless__frac(T_b,V_q_2,V_r_2) % 209.33/209.59 <=> 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))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Nitpick_Oless__eq__frac__def,axiom, % 209.33/209.59 ! [V_r_2,V_q_2,T_b] : % 209.33/209.59 ( c_Nitpick_Oless__eq__frac(T_b,V_q_2,V_r_2) % 209.33/209.59 <=> 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))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Nitpick_Onum__def,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Nitpick_Odenom__def,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_setprod__pos,axiom, % 209.33/209.59 ! [V_f_2,V_A_2,T_b,T_c] : % 209.33/209.59 ( class_Rings_Olinordered__semidom(T_c) % 209.33/209.59 => ( ! [B_x] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 209.33/209.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) ) % 209.33/209.59 => 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))) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_internal__split__def,axiom, % 209.33/209.59 ! [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) ). % 209.33/209.59 % 209.33/209.59 fof(fact_internal__split__conv,axiom, % 209.33/209.59 ! [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) ). % 209.33/209.59 % 209.33/209.59 fof(fact_setprod__nonneg,axiom, % 209.33/209.59 ! [V_f_2,V_A_2,T_b,T_c] : % 209.33/209.59 ( class_Rings_Olinordered__semidom(T_c) % 209.33/209.59 => ( ! [B_x] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 209.33/209.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) ) % 209.33/209.59 => 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))) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_bool_Osize_I2_J,axiom, % 209.33/209.59 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 209.33/209.59 % 209.33/209.59 fof(fact_bool_Osize_I1_J,axiom, % 209.33/209.59 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 209.33/209.59 % 209.33/209.59 fof(fact_finite__less__ub,axiom, % 209.33/209.59 ! [V_u_2,V_f_2] : % 209.33/209.59 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_n),hAPP(V_f_2,B_n))) % 209.33/209.59 => 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)))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_lenlex__def,axiom, % 209.33/209.59 ! [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)))) ). % 209.33/209.59 % 209.33/209.59 fof(fact_lexn__length,axiom, % 209.33/209.59 ! [V_n_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 209.33/209.59 ( 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))) % 209.33/209.59 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = V_n_2 % 209.33/209.59 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_neq__if__length__neq,axiom, % 209.33/209.59 ! [V_ys,V_xs,T_a] : % 209.33/209.59 ( 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) % 209.33/209.59 => V_xs != V_ys ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_lenlex__conv,axiom, % 209.33/209.59 ! [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)))))) ). % 209.33/209.59 % 209.33/209.59 fof(fact_length__sublist,axiom, % 209.33/209.59 ! [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)))) ). % 209.33/209.59 % 209.33/209.59 fof(fact_lexn_Osimps_I2_J,axiom, % 209.33/209.59 ! [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)))))) ). % 209.33/209.59 % 209.33/209.59 fof(fact_impossible__Cons,axiom, % 209.33/209.59 ! [V_x,V_ys,V_xs,T_a] : % 209.33/209.59 ( 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))) % 209.33/209.59 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_not__Cons__self,axiom, % 209.33/209.59 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ). % 209.33/209.59 % 209.33/209.59 fof(fact_not__Cons__self2,axiom, % 209.33/209.59 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ). % 209.33/209.59 % 209.33/209.59 fof(fact_list_Oinject,axiom, % 209.33/209.59 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_b] : % 209.33/209.59 ( 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) % 209.33/209.59 <=> ( V_a_2 = V_a_H_2 % 209.33/209.59 & V_list_2 = V_list_H_2 ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_list_Osize_I4_J,axiom, % 209.33/209.59 ! [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))) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Cons__in__lex,axiom, % 209.33/209.59 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] : % 209.33/209.59 ( 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))) % 209.33/209.59 <=> ( ( 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)) % 209.33/209.59 & 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) ) % 209.33/209.59 | ( V_x_2 = V_y_2 % 209.33/209.59 & 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))) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_set__Cons__def,axiom, % 209.33/209.59 ! [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)))))) ). % 209.33/209.59 % 209.33/209.59 fof(fact_pick_Osimps,axiom, % 209.33/209.59 ! [V_xs,V_x,T_a,V_i] : % 209.33/209.59 ( ( 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))) % 209.33/209.59 => 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) ) % 209.33/209.59 & ( ~ 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))) % 209.33/209.59 => 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))) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_select__weight__cons__zero,axiom, % 209.33/209.59 ! [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) ). % 209.33/209.59 % 209.33/209.59 fof(fact_lexord__cons__cons,axiom, % 209.33/209.59 ! [V_r_2,V_y_2,V_ba_2,V_x_2,V_a_2,T_b] : % 209.33/209.59 ( 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))) % 209.33/209.59 <=> ( 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)) % 209.33/209.59 | ( V_a_2 = V_ba_2 % 209.33/209.59 & 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))) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_lexord__lex,axiom, % 209.33/209.59 ! [V_r_2,V_y_2,V_x_2,T_b] : % 209.33/209.59 ( 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))) % 209.33/209.59 <=> ( 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))) % 209.33/209.59 & 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) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_rtrancl__listrel1__ConsI2,axiom, % 209.33/209.59 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 209.33/209.59 ( 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))) % 209.33/209.59 => ( 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)))) % 209.33/209.59 => 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)))) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_list_Osize_I2_J,axiom, % 209.33/209.59 ! [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))) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Cons__acc__listrel1I,axiom, % 209.33/209.59 ! [V_xs_2,V_r_2,V_x_2,T_b] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 209.33/209.59 => ( 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)))) % 209.33/209.59 => 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)))) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_listrel1__converse,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom, % 209.33/209.59 ! [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)))) ). % 209.33/209.59 % 209.33/209.59 fof(fact_listrel1__mono,axiom, % 209.33/209.59 ! [V_s_2,V_r_2,T_b] : % 209.33/209.59 ( 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)) % 209.33/209.59 => 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))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_rtrancl__listrel1__ConsI1,axiom, % 209.33/209.59 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 209.33/209.59 ( 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)))) % 209.33/209.59 => 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)))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_listrel1I2,axiom, % 209.33/209.59 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 209.33/209.59 ( 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))) % 209.33/209.59 => 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))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_rtrancl__listrel1__eq__len,axiom, % 209.33/209.59 ! [V_r_2,V_y_2,V_x_2,T_b] : % 209.33/209.59 ( 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)))) % 209.33/209.59 => 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) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_listrel1__eq__len,axiom, % 209.33/209.59 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 209.33/209.59 ( 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))) % 209.33/209.59 => 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) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_in__listrel1__converse,axiom, % 209.33/209.59 ! [V_r_2,V_y_2,V_x_2,T_b] : % 209.33/209.59 ( 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)))) % 209.33/209.59 <=> 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)))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_listrel1I1,axiom, % 209.33/209.59 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 209.33/209.59 ( 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)) % 209.33/209.59 => 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))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Cons__listrel1__Cons,axiom, % 209.33/209.59 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] : % 209.33/209.59 ( 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))) % 209.33/209.59 <=> ( ( 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)) % 209.33/209.59 & V_xs_2 = V_ys_2 ) % 209.33/209.59 | ( V_x_2 = V_y_2 % 209.33/209.59 & 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))) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_listrel__Cons,axiom, % 209.33/209.59 ! [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))))) ). % 209.33/209.59 % 209.33/209.59 fof(fact_lexord__irreflexive,axiom, % 209.33/209.59 ! [V_y_2,V_r_2,T_b] : % 209.33/209.59 ( ! [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)) % 209.33/209.59 => ~ 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))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_listrel__rtrancl__refl,axiom, % 209.33/209.59 ! [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)))) ). % 209.33/209.59 % 209.33/209.59 fof(fact_listrel__mono,axiom, % 209.33/209.59 ! [V_s_2,V_r_2,T_b] : % 209.33/209.59 ( 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)) % 209.33/209.59 => 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))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_listrel__subset__rtrancl__listrel1,axiom, % 209.33/209.59 ! [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)))) ). % 209.33/209.59 % 209.33/209.59 fof(fact_listrel__eq__len,axiom, % 209.33/209.59 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 209.33/209.59 ( 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))) % 209.33/209.59 => 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) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_listrel__rtrancl__trans,axiom, % 209.33/209.59 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 209.33/209.59 ( 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)))) % 209.33/209.59 => ( 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)))) % 209.33/209.59 => 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)))) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_listrel__reflcl__if__listrel1,axiom, % 209.33/209.59 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 209.33/209.59 ( 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))) % 209.33/209.59 => 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)))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_listrel1__subset__listrel,axiom, % 209.33/209.59 ! [V_r_H_2,V_r_2,T_b] : % 209.33/209.59 ( 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)) % 209.33/209.59 => ( c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_r_H_2) % 209.33/209.59 => 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))) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_rtrancl__listrel1__if__listrel,axiom, % 209.33/209.59 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 209.33/209.59 ( 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))) % 209.33/209.59 => 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)))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_listrel_OCons,axiom, % 209.33/209.59 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 209.33/209.59 ( 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)) % 209.33/209.59 => ( 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))) % 209.33/209.59 => 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))) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_listrelp__listrel__eq,axiom, % 209.33/209.59 ! [V_xa_2,V_x_2,V_r_2,T_b] : % 209.33/209.59 ( 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) % 209.33/209.59 <=> 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))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_listrel__Cons2,axiom, % 209.33/209.59 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_b] : % 209.33/209.59 ( 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))) % 209.33/209.59 => ~ ! [B_x,B_xs] : % 209.33/209.59 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs) % 209.33/209.59 => ( 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)) % 209.33/209.59 => ~ 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))) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_listrelp_OCons,axiom, % 209.33/209.59 ! [V_ys_2,V_xs_2,T_b,V_y_2,V_x_2,V_r_2] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2)) % 209.33/209.59 => ( c_List_Olistrelp(T_b,V_r_2,V_xs_2,V_ys_2) % 209.33/209.59 => 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)) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_listrelp_Oequations_I2_J,axiom, % 209.33/209.59 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_b] : % 209.33/209.59 ( 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)) % 209.33/209.59 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) % 209.33/209.59 & c_List_Olistrelp(T_b,V_r_2,V_a3_2,V_a4_2) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_listrel__Cons1,axiom, % 209.33/209.59 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_b] : % 209.33/209.59 ( 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))) % 209.33/209.59 => ~ ! [B_y,B_ys] : % 209.33/209.59 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_ys) % 209.33/209.59 => ( 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)) % 209.33/209.59 => ~ 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))) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_listrel__subset,axiom, % 209.33/209.59 ! [V_A_2,V_r_2,T_b] : % 209.33/209.59 ( 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)))) % 209.33/209.59 => 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))))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_lists__UNIV,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_lists__mono,axiom, % 209.33/209.59 ! [V_B_2,V_A_2,T_b] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 209.33/209.59 => 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))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_equiv__listrel,axiom, % 209.33/209.59 ! [V_r_2,V_A_2,T_b] : % 209.33/209.59 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 209.33/209.59 => 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)) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_listrel__refl__on,axiom, % 209.33/209.59 ! [V_r_2,V_A_2,T_b] : % 209.33/209.59 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 209.33/209.59 => 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)) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_Cons__in__lists__iff,axiom, % 209.33/209.59 ! [V_A_2,V_xs_2,V_x_2,T_b] : % 209.33/209.59 ( 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))) % 209.33/209.59 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 209.33/209.59 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_lists__accI,axiom, % 209.33/209.59 ! [V_r_2,V_xs_2,T_b] : % 209.33/209.59 ( 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)))) % 209.33/209.59 => 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)))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_lists__accD,axiom, % 209.33/209.59 ! [V_r_2,V_xs_2,T_b] : % 209.33/209.59 ( 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)))) % 209.33/209.59 => 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)))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_listrel__iff__nth,axiom, % 209.33/209.59 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 209.33/209.59 ( 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))) % 209.33/209.59 <=> ( 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) % 209.33/209.59 & ! [B_n] : % 209.33/209.59 ( 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))) % 209.33/209.59 => 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)) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_lexord__linear,axiom, % 209.33/209.59 ! [V_y_2,V_x_2,V_r_2,T_b] : % 209.33/209.59 ( ! [B_a,B_b] : % 209.33/209.59 ( 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)) % 209.33/209.59 | B_a = B_b % 209.33/209.59 | 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)) ) % 209.33/209.59 => ( 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))) % 209.33/209.59 | V_x_2 = V_y_2 % 209.33/209.59 | 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))) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_infinite__UNIV__listI,axiom, % 209.33/209.59 ! [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)))) ). % 209.33/209.59 % 209.33/209.59 fof(fact_list__eq__iff__nth__eq,axiom, % 209.33/209.59 ! [T_b,V_ys_2,V_xs_2] : % 209.33/209.59 ( V_xs_2 = V_ys_2 % 209.33/209.59 <=> ( 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) % 209.33/209.59 & ! [B_i] : % 209.33/209.59 ( 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))) % 209.33/209.59 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_nth__Cons__0,axiom, % 209.33/209.59 ! [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 ). % 209.33/209.59 % 209.33/209.59 fof(fact_nth__Cons__Suc,axiom, % 209.33/209.59 ! [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) ). % 209.33/209.59 % 209.33/209.59 fof(fact_nth_Osimps,axiom, % 209.33/209.59 ! [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) ). % 209.33/209.59 % 209.33/209.59 fof(fact_nth__Cons_H,axiom, % 209.33/209.59 ! [V_xs,V_x,T_a,V_n] : % 209.33/209.59 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.33/209.59 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x ) % 209.33/209.59 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.33/209.59 => 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))) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_nth__Cons__number__of,axiom, % 209.33/209.59 ! [V_xs,V_x,T_a,V_v] : % 209.33/209.59 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.33/209.59 => 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 ) % 209.33/209.59 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.33/209.59 => 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))) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_lexord__take__index__conv,axiom, % 209.33/209.59 ! [V_r_2,V_y_2,V_x_2,T_b] : % 209.33/209.59 ( 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))) % 209.33/209.59 <=> ( ( 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))) % 209.33/209.59 & 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 ) % 209.33/209.59 | ? [B_i] : % 209.33/209.59 ( 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)))) % 209.33/209.59 & hAPP(hAPP(c_List_Otake(T_b),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_b),B_i),V_y_2) % 209.33/209.59 & 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)) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_set__sublist,axiom, % 209.33/209.59 ! [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))))) ). % 209.33/209.59 % 209.33/209.59 fof(fact_finite__set,axiom, % 209.33/209.59 ! [V_xs_2,T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 209.33/209.59 % 209.33/209.59 fof(fact_set__subset__Cons,axiom, % 209.33/209.59 ! [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)))) ). % 209.33/209.59 % 209.33/209.59 fof(fact_take__all,axiom, % 209.33/209.59 ! [V_n,V_xs,T_a] : % 209.33/209.59 ( 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)) % 209.33/209.59 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_set__take__subset__set__take,axiom, % 209.33/209.59 ! [V_xs_2,T_b,V_n_2,V_m_2] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 209.33/209.59 => 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)))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_set__take__subset,axiom, % 209.33/209.59 ! [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))) ). % 209.33/209.59 % 209.33/209.59 fof(fact_set__sublist__subset,axiom, % 209.33/209.59 ! [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))) ). % 209.33/209.59 % 209.33/209.59 fof(fact_nth__take,axiom, % 209.33/209.59 ! [V_xs,T_a,V_n,V_i] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n)) % 209.33/209.59 => 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) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_sublist__upt__eq__take,axiom, % 209.33/209.59 ! [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) ). % 209.33/209.59 % 209.33/209.59 fof(fact_take__Suc__Cons,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_notin__set__sublistI,axiom, % 209.33/209.59 ! [V_I_2,V_xs_2,V_x_2,T_b] : % 209.33/209.59 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.59 => ~ 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)))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_in__set__takeD,axiom, % 209.33/209.59 ! [V_xs_2,V_n_2,V_x_2,T_b] : % 209.33/209.59 ( 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)))) % 209.33/209.59 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_in__set__sublistD,axiom, % 209.33/209.59 ! [V_I_2,V_xs_2,V_x_2,T_b] : % 209.33/209.59 ( 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)))) % 209.33/209.59 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_set__ConsD,axiom, % 209.33/209.59 ! [V_xs_2,V_x_2,V_y_2,T_b] : % 209.33/209.59 ( 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)))) % 209.33/209.59 => ( V_y_2 = V_x_2 % 209.33/209.59 | hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_length__take,axiom, % 209.33/209.59 ! [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) ). % 209.33/209.59 % 209.33/209.59 fof(fact_take__take,axiom, % 209.33/209.59 ! [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) ). % 209.33/209.59 % 209.33/209.59 fof(fact_List_Oset_Osimps_I2_J,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_card__length,axiom, % 209.33/209.59 ! [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))) ). % 209.33/209.59 % 209.33/209.59 fof(fact_all__set__conv__all__nth,axiom, % 209.33/209.59 ! [V_Pa_2,V_xs_2,T_b] : % 209.33/209.59 ( ! [B_x] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.59 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 209.33/209.59 <=> ! [B_i] : % 209.33/209.59 ( 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))) % 209.33/209.59 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_list__size__estimation,axiom, % 209.33/209.59 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2))) % 209.33/209.59 => 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))) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_list__size__estimation_H,axiom, % 209.33/209.59 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2))) % 209.33/209.59 => 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))) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_in__lists__conv__set,axiom, % 209.33/209.59 ! [V_A_2,V_xs_2,T_b] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) % 209.33/209.59 <=> ! [B_x] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.59 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_length__pos__if__in__set,axiom, % 209.33/209.59 ! [V_xs_2,V_x_2,T_b] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.59 => 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))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_in__set__conv__nth,axiom, % 209.33/209.59 ! [V_xs_2,V_x_2,T_b] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.59 <=> ? [B_i] : % 209.33/209.59 ( 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))) % 209.33/209.59 & hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = V_x_2 ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_nth__mem,axiom, % 209.33/209.59 ! [V_xs_2,T_b,V_n_2] : % 209.33/209.59 ( 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))) % 209.33/209.59 => 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))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_lists__eq__set,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_set__conv__nth,axiom, % 209.33/209.59 ! [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))))) ). % 209.33/209.59 % 209.33/209.59 fof(fact_finite__lists__length__eq,axiom, % 209.33/209.59 ! [V_n_2,V_A_2,T_b] : % 209.33/209.59 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => 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))))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_finite__lists__length__le,axiom, % 209.33/209.59 ! [V_n_2,V_A_2,T_b] : % 209.33/209.59 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.59 => 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))))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_listrel__iff__zip,axiom, % 209.33/209.59 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 209.33/209.59 ( 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))) % 209.33/209.59 <=> ( 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) % 209.33/209.59 & ! [B_x] : % 209.33/209.59 ( 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)))) % 209.33/209.59 => 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)) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_set__zip,axiom, % 209.33/209.59 ! [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)))))) ). % 209.33/209.59 % 209.33/209.59 fof(fact_take__zip,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_length__zip,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_zip__Cons__Cons,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_list__eq__iff__zip__eq,axiom, % 209.33/209.59 ! [T_b,V_ys_2,V_xs_2] : % 209.33/209.59 ( V_xs_2 = V_ys_2 % 209.33/209.59 <=> ( 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) % 209.33/209.59 & ! [B_x] : % 209.33/209.59 ( 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)))) % 209.33/209.59 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_in__set__zipE,axiom, % 209.33/209.59 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 209.33/209.59 ( 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)))) % 209.33/209.59 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.59 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_set__zip__rightD,axiom, % 209.33/209.59 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 209.33/209.59 ( 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)))) % 209.33/209.59 => hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_set__zip__leftD,axiom, % 209.33/209.59 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 209.33/209.59 ( 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)))) % 209.33/209.59 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_zip__same,axiom, % 209.33/209.59 ! [V_xs_2,V_ba_2,V_a_2,T_b] : % 209.33/209.59 ( 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)))) % 209.33/209.59 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.59 & V_a_2 = V_ba_2 ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_nth__zip,axiom, % 209.33/209.59 ! [V_ys,T_b,V_xs,T_a,V_i] : % 209.33/209.59 ( 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))) % 209.33/209.59 => ( 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))) % 209.33/209.59 => 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)) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_greaterThanLessThan__upto,axiom, % 209.33/209.59 ! [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)))) ). % 209.33/209.59 % 209.33/209.59 fof(fact_listsum__setsum__nth,axiom, % 209.33/209.59 ! [V_xs_2,T_b] : % 209.33/209.59 ( class_Groups_Ocomm__monoid__add(T_b) % 209.33/209.59 => 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))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_listsum__eq__0__nat__iff__nat,axiom, % 209.33/209.59 ! [V_ns_2] : % 209.33/209.59 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.33/209.59 <=> ! [B_x] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 209.33/209.59 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_atLeastAtMost__upto,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_set__upto,axiom, % 209.33/209.59 ! [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) ). % 209.33/209.59 % 209.33/209.59 fof(fact_elem__le__listsum__nat,axiom, % 209.33/209.59 ! [V_ns,V_k] : % 209.33/209.59 ( 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))) % 209.33/209.59 => 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))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_listsum__simps_I2_J,axiom, % 209.33/209.59 ! [V_xs,V_x,T_a] : % 209.33/209.59 ( class_Groups_Omonoid__add(T_a) % 209.33/209.59 => 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)) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_atLeastLessThan__upto,axiom, % 209.33/209.59 ! [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)))) ). % 209.33/209.59 % 209.33/209.59 fof(fact_greaterThanAtMost__upto,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_nat__list__def,axiom, % 209.33/209.59 ! [V_l_2] : % 209.33/209.59 ( c_List_Onat__list(V_l_2) % 209.33/209.59 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_list__size__pointwise,axiom, % 209.33/209.59 ! [V_g_2,V_f_2,V_xs_2,T_b] : % 209.33/209.59 ( ! [B_x] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 209.33/209.59 => 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))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_listsum__update__nat,axiom, % 209.33/209.59 ! [V_n,V_ns,V_k] : % 209.33/209.59 ( 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))) % 209.33/209.59 => 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)) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_butlast__take,axiom, % 209.33/209.59 ! [V_xs,T_a,V_n] : % 209.33/209.59 ( 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))) % 209.33/209.59 => 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) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_list__update__beyond,axiom, % 209.33/209.59 ! [V_x,V_i,V_xs,T_a] : % 209.33/209.59 ( 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)) % 209.33/209.59 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_nth__list__update__neq,axiom, % 209.33/209.59 ! [V_x,V_xs,T_a,V_j,V_i] : % 209.33/209.59 ( V_i != V_j % 209.33/209.59 => 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) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_list__update__id,axiom, % 209.33/209.59 ! [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 ). % 209.33/209.59 % 209.33/209.59 fof(fact_butlast__list__update,axiom, % 209.33/209.59 ! [V_x,V_xs,T_a,V_k] : % 209.33/209.59 ( ( 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)) % 209.33/209.59 => 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) ) % 209.33/209.59 & ( 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)) % 209.33/209.59 => 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) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_length__list__update,axiom, % 209.33/209.59 ! [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) ). % 209.33/209.59 % 209.33/209.59 fof(fact_zip__update,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_update__zip,axiom, % 209.33/209.59 ! [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))) ). % 209.33/209.59 % 209.33/209.59 fof(fact_list__update__overwrite,axiom, % 209.33/209.59 ! [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) ). % 209.33/209.59 % 209.33/209.59 fof(fact_list__update__swap,axiom, % 209.33/209.59 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] : % 209.33/209.59 ( V_i != V_i_H % 209.33/209.59 => 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) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_list__update__code_I2_J,axiom, % 209.33/209.59 ! [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) ). % 209.33/209.59 % 209.33/209.59 fof(fact_list__update_Osimps_I2_J,axiom, % 209.33/209.59 ! [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) ). % 209.33/209.59 % 209.33/209.59 fof(fact_list__update__code_I3_J,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.59 % 209.33/209.59 fof(fact_in__set__butlastD,axiom, % 209.33/209.59 ! [V_xs_2,V_x_2,T_b] : % 209.33/209.59 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2)))) % 209.33/209.59 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_set__update__subsetI,axiom, % 209.33/209.59 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_b] : % 209.33/209.59 ( 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)) % 209.33/209.59 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 209.33/209.59 => 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)) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_set__update__subset__insert,axiom, % 209.33/209.59 ! [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)))) ). % 209.33/209.59 % 209.33/209.59 fof(fact_nth__list__update,axiom, % 209.33/209.59 ! [V_x,V_j,V_xs,T_a,V_i] : % 209.33/209.59 ( 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))) % 209.33/209.59 => ( ( V_i = V_j % 209.33/209.59 => 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 ) % 209.33/209.59 & ( V_i != V_j % 209.33/209.59 => 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) ) ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_list__update__same__conv,axiom, % 209.33/209.59 ! [V_x_2,V_xs_2,T_b,V_i_2] : % 209.33/209.59 ( 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))) % 209.33/209.59 => ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2) = V_xs_2 % 209.33/209.59 <=> hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = V_x_2 ) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_nth__list__update__eq,axiom, % 209.33/209.59 ! [V_x,V_xs,T_a,V_i] : % 209.33/209.59 ( 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))) % 209.33/209.59 => 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 ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_take__butlast,axiom, % 209.33/209.59 ! [V_xs,T_a,V_n] : % 209.33/209.59 ( 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))) % 209.33/209.59 => 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) ) ). % 209.33/209.59 % 209.33/209.59 fof(fact_length__butlast,axiom, % 209.33/209.59 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_set__update__memI,axiom, % 209.33/209.60 ! [V_x_2,V_xs_2,T_b,V_n_2] : % 209.33/209.60 ( 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))) % 209.33/209.60 => 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)))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_butlast__conv__take,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_listrel1__iff__update,axiom, % 209.33/209.60 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 209.33/209.60 ( 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))) % 209.33/209.60 <=> ? [B_y,B_n] : % 209.33/209.60 ( 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)) % 209.33/209.60 & 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))) % 209.33/209.60 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),B_n),B_y) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_distinct__list__update,axiom, % 209.33/209.60 ! [V_i_2,V_a_2,V_xs_2,T_b] : % 209.33/209.60 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 209.33/209.60 => ( ~ 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)))))) % 209.33/209.60 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_a_2))) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_distinct__upto,axiom, % 209.33/209.60 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_distinct__take,axiom, % 209.33/209.60 ! [V_i,V_xs,T_a] : % 209.33/209.60 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 209.33/209.60 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_distinct__sublistI,axiom, % 209.33/209.60 ! [V_I_2,V_xs_2,T_b] : % 209.33/209.60 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 209.33/209.60 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_distinct__zipI1,axiom, % 209.33/209.60 ! [V_ys,T_b,V_xs,T_a] : % 209.33/209.60 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 209.33/209.60 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_distinct__zipI2,axiom, % 209.33/209.60 ! [V_xs,T_b,V_ys,T_a] : % 209.33/209.60 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys)) % 209.33/209.60 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_distinct_Osimps_I2_J,axiom, % 209.33/209.60 ! [V_xs_2,V_x_2,T_b] : % 209.33/209.60 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) % 209.33/209.60 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.60 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_distinct__card,axiom, % 209.33/209.60 ! [V_xs_2,T_b] : % 209.33/209.60 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_card__distinct,axiom, % 209.33/209.60 ! [V_xs_2,T_b] : % 209.33/209.60 ( 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) % 209.33/209.60 => hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_distinct__conv__nth,axiom, % 209.33/209.60 ! [V_xs_2,T_b] : % 209.33/209.60 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 209.33/209.60 <=> ! [B_i] : % 209.33/209.60 ( 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))) % 209.33/209.60 => ! [B_j] : % 209.33/209.60 ( 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))) % 209.33/209.60 => ( B_i != B_j % 209.33/209.60 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j) ) ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_nth__eq__iff__index__eq,axiom, % 209.33/209.60 ! [V_j_2,V_i_2,V_xs_2,T_b] : % 209.33/209.60 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 209.33/209.60 => ( 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))) % 209.33/209.60 => ( 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))) % 209.33/209.60 => ( 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) % 209.33/209.60 <=> V_i_2 = V_j_2 ) ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_distinct__listsum__conv__Setsum,axiom, % 209.33/209.60 ! [V_xs_2,T_b] : % 209.33/209.60 ( class_Groups_Ocomm__monoid__add(T_b) % 209.33/209.60 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 209.33/209.60 => 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)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_Nitpick_Ocard_H__def,axiom, % 209.33/209.60 ! [V_A_2,T_b] : % 209.33/209.60 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.60 => 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)))) ) % 209.33/209.60 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.60 => c_Nitpick_Ocard_H(T_b,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_nth__take__lemma,axiom, % 209.33/209.60 ! [V_ys,V_xs,T_a,V_k] : % 209.33/209.60 ( 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))) % 209.33/209.60 => ( 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))) % 209.33/209.60 => ( ! [B_i] : % 209.33/209.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k)) % 209.33/209.60 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) ) % 209.33/209.60 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_set__remove1__eq,axiom, % 209.33/209.60 ! [V_x_2,V_xs_2,T_b] : % 209.33/209.60 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 209.33/209.60 => 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)))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_take__Cons__number__of,axiom, % 209.33/209.60 ! [V_xs,V_x,T_a,V_v] : % 209.33/209.60 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.33/209.60 => 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) ) % 209.33/209.60 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.33/209.60 => 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)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_lists_ONil,axiom, % 209.33/209.60 ! [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))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_listrel__Nil1,axiom, % 209.33/209.60 ! [V_r_2,V_xs_2,T_b] : % 209.33/209.60 ( 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))) % 209.33/209.60 => V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_listrel__Nil2,axiom, % 209.33/209.60 ! [V_r_2,V_xs_2,T_b] : % 209.33/209.60 ( 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))) % 209.33/209.60 => V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_distinct__butlast,axiom, % 209.33/209.60 ! [T_a,V_xs] : % 209.33/209.60 ( V_xs != c_List_Olist_ONil(T_a) % 209.33/209.60 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 209.33/209.60 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_distinct__remove1,axiom, % 209.33/209.60 ! [V_x,V_xs,T_a] : % 209.33/209.60 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 209.33/209.60 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_distinct_Osimps_I1_J,axiom, % 209.33/209.60 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_butlast_Osimps_I1_J,axiom, % 209.33/209.60 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 209.33/209.60 % 209.33/209.60 fof(fact_butlast_Osimps_I2_J,axiom, % 209.33/209.60 ! [V_x,T_a,V_xs] : % 209.33/209.60 ( ( V_xs = c_List_Olist_ONil(T_a) % 209.33/209.60 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) ) % 209.33/209.60 & ( V_xs != c_List_Olist_ONil(T_a) % 209.33/209.60 => 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)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_list_Osimps_I2_J,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_list_Osimps_I3_J,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_remove1_Osimps_I2_J,axiom, % 209.33/209.60 ! [V_xs,T_a,V_y,V_x] : % 209.33/209.60 ( ( V_x = V_y % 209.33/209.60 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs ) % 209.33/209.60 & ( V_x != V_y % 209.33/209.60 => 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)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_upto__empty,axiom, % 209.33/209.60 ! [V_i,V_j] : % 209.33/209.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i)) % 209.33/209.60 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_take__eq__Nil,axiom, % 209.33/209.60 ! [V_xs_2,V_n_2,T_b] : % 209.33/209.60 ( hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b) % 209.33/209.60 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.33/209.60 | V_xs_2 = c_List_Olist_ONil(T_b) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_take__0,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_take__Nil,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sublist__nil,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_remove1__commute,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_remove1_Osimps_I1_J,axiom, % 209.33/209.60 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 209.33/209.60 % 209.33/209.60 fof(fact_list_Osize_I1_J,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_listrelp_Oequations_I1_J,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_listrelp_ONil,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_zip__Nil,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_zip_Osimps_I1_J,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_listsum__simps_I1_J,axiom, % 209.33/209.60 ! [T_a] : % 209.33/209.60 ( class_Groups_Omonoid__add(T_a) % 209.33/209.60 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_length__0__conv,axiom, % 209.33/209.60 ! [V_xs_2,T_b] : % 209.33/209.60 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.33/209.60 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_list_Osize_I3_J,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_List_Oset_Osimps_I1_J,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_set__empty2,axiom, % 209.33/209.60 ! [V_xs_2,T_b] : % 209.33/209.60 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_List_Oset(T_b),V_xs_2) % 209.33/209.60 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_set__empty,axiom, % 209.33/209.60 ! [V_xs_2,T_b] : % 209.33/209.60 ( hAPP(c_List_Oset(T_b),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.33/209.60 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_list__update__code_I1_J,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_list__update_Osimps_I1_J,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_list__update__nonempty,axiom, % 209.33/209.60 ! [V_x_2,V_k_2,V_xs_2,T_b] : % 209.33/209.60 ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_b) % 209.33/209.60 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_remove1__idem,axiom, % 209.33/209.60 ! [V_xs_2,V_x_2,T_b] : % 209.33/209.60 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.60 => c_List_Oremove1(T_b,V_x_2,V_xs_2) = V_xs_2 ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_notin__set__remove1,axiom, % 209.33/209.60 ! [V_y_2,V_xs_2,V_x_2,T_b] : % 209.33/209.60 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.60 => ~ 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)))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_in__set__remove1,axiom, % 209.33/209.60 ! [V_xs_2,T_b,V_ba_2,V_a_2] : % 209.33/209.60 ( V_a_2 != V_ba_2 % 209.33/209.60 => ( 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)))) % 209.33/209.60 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sublist__empty,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_set__remove1__subset,axiom, % 209.33/209.60 ! [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))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_length__greater__0__conv,axiom, % 209.33/209.60 ! [V_xs_2,T_b] : % 209.33/209.60 ( 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))) % 209.33/209.60 <=> V_xs_2 != c_List_Olist_ONil(T_b) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_take__1__Cons,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_not__Nil__listrel1,axiom, % 209.33/209.60 ! [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))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_not__listrel1__Nil,axiom, % 209.33/209.60 ! [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))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_listrel_ONil,axiom, % 209.33/209.60 ! [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))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_lexord__Nil__right,axiom, % 209.33/209.60 ! [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))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_Nil__notin__lex,axiom, % 209.33/209.60 ! [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))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_Nil2__notin__lex,axiom, % 209.33/209.60 ! [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))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_take__Cons,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_upto_Osimps,axiom, % 209.33/209.60 ! [V_j,V_i] : % 209.33/209.60 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 209.33/209.60 => 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)) ) % 209.33/209.60 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 209.33/209.60 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sublist__singleton,axiom, % 209.33/209.60 ! [V_x_2,T_b,V_A_2] : % 209.33/209.60 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)) % 209.33/209.60 => 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)) ) % 209.33/209.60 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)) % 209.33/209.60 => 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) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_lists__empty,axiom, % 209.33/209.60 ! [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))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_take__Cons_H,axiom, % 209.33/209.60 ! [V_xs,V_x,T_a,V_n] : % 209.33/209.60 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.33/209.60 => 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) ) % 209.33/209.60 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.33/209.60 => 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)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_upto__rec__number__of,axiom, % 209.33/209.60 ! [V_n,V_m] : % 209.33/209.60 ( ( 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))) % 209.33/209.60 => 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))) ) % 209.33/209.60 & ( ~ 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))) % 209.33/209.60 => 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) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_listrel__Nil,axiom, % 209.33/209.60 ! [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))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_set__Cons__sing__Nil,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_length__remove1,axiom, % 209.33/209.60 ! [V_xs_2,V_x_2,T_b] : % 209.33/209.60 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.60 => 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)) ) % 209.33/209.60 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.60 => 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) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_upto_Opsimps,axiom, % 209.33/209.60 ! [V_j_2,V_i_2] : % 209.33/209.60 ( 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))) % 209.33/209.60 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2)) % 209.33/209.60 => 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)) ) % 209.33/209.60 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2)) % 209.33/209.60 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_select,axiom, % 209.33/209.60 ! [V_s_2,T_b,V_xs_2] : % 209.33/209.60 ( V_xs_2 != c_List_Olist_ONil(T_b) % 209.33/209.60 => 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))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_listset_Osimps_I1_J,axiom, % 209.33/209.60 ! [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))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_zip__Cons,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_list_Osimps_I5_J,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_list_Osimps_I4_J,axiom, % 209.33/209.60 ! [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 ). % 209.33/209.60 % 209.33/209.60 fof(fact_listset_Osimps_I2_J,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_zip__Cons1,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sorted__list__of__set__remove,axiom, % 209.33/209.60 ! [V_x_2,V_A_2,T_b] : % 209.33/209.60 ( class_Orderings_Olinorder(T_b) % 209.33/209.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.60 => 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)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_upto_Opinduct,axiom, % 209.33/209.60 ! [V_Pa_2,V_a1_2,V_a0_2] : % 209.33/209.60 ( 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))) % 209.33/209.60 => ( ! [B_i,B_j] : % 209.33/209.60 ( 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))) % 209.33/209.60 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j)) % 209.33/209.60 => 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)) ) % 209.33/209.60 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) % 209.33/209.60 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sorted__list__of__set__empty,axiom, % 209.33/209.60 ! [T_b] : % 209.33/209.60 ( class_Orderings_Olinorder(T_b) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_anamorph_Osimps,axiom, % 209.33/209.60 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] : % 209.33/209.60 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 209.33/209.60 => 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) ) % 209.33/209.60 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 209.33/209.60 => 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)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sublist__Cons,axiom, % 209.33/209.60 ! [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)))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_append__eq__Cons__conv,axiom, % 209.33/209.60 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_b] : % 209.33/209.60 ( 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) % 209.33/209.60 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b) % 209.33/209.60 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) % 209.33/209.60 | ? [B_ys_H] : % 209.33/209.60 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) % 209.33/209.60 & hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_Cons__eq__append__conv,axiom, % 209.33/209.60 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_b] : % 209.33/209.60 ( 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) % 209.33/209.60 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b) % 209.33/209.60 & hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = V_zs_2 ) % 209.33/209.60 | ? [B_ys_H] : % 209.33/209.60 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) = V_ys_2 % 209.33/209.60 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_append1__eq__conv,axiom, % 209.33/209.60 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] : % 209.33/209.60 ( 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))) % 209.33/209.60 <=> ( V_xs_2 = V_ys_2 % 209.33/209.60 & V_x_2 = V_y_2 ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_append__Cons,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_Cons__eq__appendI,axiom, % 209.33/209.60 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] : % 209.33/209.60 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys % 209.33/209.60 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs) % 209.33/209.60 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_append__in__lists__conv,axiom, % 209.33/209.60 ! [V_A_2,V_ys_2,V_xs_2,T_b] : % 209.33/209.60 ( 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))) % 209.33/209.60 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) % 209.33/209.60 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),c_List_Olists(T_b,V_A_2))) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_append__eq__appendI,axiom, % 209.33/209.60 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] : % 209.33/209.60 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs % 209.33/209.60 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us) % 209.33/209.60 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_append__same__eq,axiom, % 209.33/209.60 ! [V_zs_2,V_xs_2,V_ys_2,T_b] : % 209.33/209.60 ( 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) % 209.33/209.60 <=> V_ys_2 = V_zs_2 ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_same__append__eq,axiom, % 209.33/209.60 ! [V_zs_2,V_ys_2,V_xs_2,T_b] : % 209.33/209.60 ( 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) % 209.33/209.60 <=> V_ys_2 = V_zs_2 ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_append__eq__append__conv2,axiom, % 209.33/209.60 ! [V_ts_2,V_zs_2,V_ys_2,V_xs_2,T_b] : % 209.33/209.60 ( 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) % 209.33/209.60 <=> ? [B_us] : % 209.33/209.60 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),B_us) % 209.33/209.60 & hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ys_2) = V_ts_2 ) % 209.33/209.60 | ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),B_us) = V_zs_2 % 209.33/209.60 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ts_2) ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_append__assoc,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_listsum__append,axiom, % 209.33/209.60 ! [V_ys,V_xs,T_a] : % 209.33/209.60 ( class_Groups_Omonoid__add(T_a) % 209.33/209.60 => 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)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_length__append,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_zip__append,axiom, % 209.33/209.60 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] : % 209.33/209.60 ( 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) % 209.33/209.60 => ( 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) % 209.33/209.60 => 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)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_set__append,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_append__Nil,axiom, % 209.33/209.60 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ). % 209.33/209.60 % 209.33/209.60 fof(fact_Nil__is__append__conv,axiom, % 209.33/209.60 ! [V_ys_2,V_xs_2,T_b] : % 209.33/209.60 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 209.33/209.60 <=> ( V_xs_2 = c_List_Olist_ONil(T_b) % 209.33/209.60 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_append__Nil2,axiom, % 209.33/209.60 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ). % 209.33/209.60 % 209.33/209.60 fof(fact_self__append__conv,axiom, % 209.33/209.60 ! [V_ys_2,T_b,V_xs_2] : % 209.33/209.60 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 209.33/209.60 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_self__append__conv2,axiom, % 209.33/209.60 ! [V_xs_2,T_b,V_ys_2] : % 209.33/209.60 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 209.33/209.60 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_append__is__Nil__conv,axiom, % 209.33/209.60 ! [V_ys_2,V_xs_2,T_b] : % 209.33/209.60 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_b) % 209.33/209.60 <=> ( V_xs_2 = c_List_Olist_ONil(T_b) % 209.33/209.60 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_append__self__conv,axiom, % 209.33/209.60 ! [V_ys_2,V_xs_2,T_b] : % 209.33/209.60 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_xs_2 % 209.33/209.60 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_append__self__conv2,axiom, % 209.33/209.60 ! [V_ys_2,V_xs_2,T_b] : % 209.33/209.60 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_ys_2 % 209.33/209.60 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_eq__Nil__appendI,axiom, % 209.33/209.60 ! [T_a,V_ys,V_xs] : % 209.33/209.60 ( V_xs = V_ys % 209.33/209.60 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_butlast__append,axiom, % 209.33/209.60 ! [V_xs,T_a,V_ys] : % 209.33/209.60 ( ( V_ys = c_List_Olist_ONil(T_a) % 209.33/209.60 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) ) % 209.33/209.60 & ( V_ys != c_List_Olist_ONil(T_a) % 209.33/209.60 => 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)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_nth__append__length,axiom, % 209.33/209.60 ! [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 ). % 209.33/209.60 % 209.33/209.60 fof(fact_nth__append__length__plus,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_take__append,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_list__update__append1,axiom, % 209.33/209.60 ! [V_x,V_ys,V_xs,T_a,V_i] : % 209.33/209.60 ( 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))) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_list__update__length,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_remove1__append,axiom, % 209.33/209.60 ! [V_ys_2,V_xs_2,V_x_2,T_b] : % 209.33/209.60 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.60 => 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) ) % 209.33/209.60 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.60 => 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)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_in__set__butlast__appendI,axiom, % 209.33/209.60 ! [V_ys_2,V_xs_2,V_x_2,T_b] : % 209.33/209.60 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2)))) % 209.33/209.60 | hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_ys_2)))) ) % 209.33/209.60 => 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))))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_butlast__snoc,axiom, % 209.33/209.60 ! [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 ). % 209.33/209.60 % 209.33/209.60 fof(fact_append__listrel1I,axiom, % 209.33/209.60 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 209.33/209.60 ( ( ( 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))) % 209.33/209.60 & V_us_2 = V_vs_2 ) % 209.33/209.60 | ( V_xs_2 = V_ys_2 % 209.33/209.60 & 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))) ) ) % 209.33/209.60 => 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))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_lexord__append__leftI,axiom, % 209.33/209.60 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_b] : % 209.33/209.60 ( 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))) % 209.33/209.60 => 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))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_distinct__append,axiom, % 209.33/209.60 ! [V_ys_2,V_xs_2,T_b] : % 209.33/209.60 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))) % 209.33/209.60 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 209.33/209.60 & hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2)) % 209.33/209.60 & 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)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_nth__append,axiom, % 209.33/209.60 ! [V_ys,V_xs,T_a,V_n] : % 209.33/209.60 ( ( 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))) % 209.33/209.60 => 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) ) % 209.33/209.60 & ( ~ 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))) % 209.33/209.60 => 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))) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_list__update__append,axiom, % 209.33/209.60 ! [V_x,V_ys,V_xs,T_a,V_n] : % 209.33/209.60 ( ( 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))) % 209.33/209.60 => 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) ) % 209.33/209.60 & ( ~ 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))) % 209.33/209.60 => 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)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sublist__append,axiom, % 209.33/209.60 ! [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)))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_listrel1I,axiom, % 209.33/209.60 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 209.33/209.60 ( 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)) % 209.33/209.60 => ( 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)) % 209.33/209.60 => ( 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)) % 209.33/209.60 => 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))) ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_lexord__append__left__rightI,axiom, % 209.33/209.60 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_ba_2,V_a_2,T_b] : % 209.33/209.60 ( 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)) % 209.33/209.60 => 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))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_take__Suc__conv__app__nth,axiom, % 209.33/209.60 ! [V_xs,T_a,V_i] : % 209.33/209.60 ( 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))) % 209.33/209.60 => 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))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_snoc__listrel1__snoc__iff,axiom, % 209.33/209.60 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] : % 209.33/209.60 ( 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))) % 209.33/209.60 <=> ( ( 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))) % 209.33/209.60 & V_x_2 = V_y_2 ) % 209.33/209.60 | ( V_xs_2 = V_ys_2 % 209.33/209.60 & 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)) ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_listrel1E,axiom, % 209.33/209.60 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 209.33/209.60 ( 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))) % 209.33/209.60 => ~ ! [B_x,B_y] : % 209.33/209.60 ( 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)) % 209.33/209.60 => ! [B_us,B_vs] : % 209.33/209.60 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_vs)) % 209.33/209.60 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_vs)) ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_lexord__append__leftD,axiom, % 209.33/209.60 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_b] : % 209.33/209.60 ( 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))) % 209.33/209.60 => ( ! [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)) % 209.33/209.60 => 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))) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_rotate1__def,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_upd__conv__take__nth__drop,axiom, % 209.33/209.60 ! [V_a,V_xs,T_a,V_i] : % 209.33/209.60 ( 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))) % 209.33/209.60 => 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))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_append__take__drop__id,axiom, % 209.33/209.60 ! [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 ). % 209.33/209.60 % 209.33/209.60 fof(fact_drop__Suc__Cons,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_drop__1__Cons,axiom, % 209.33/209.60 ! [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 ). % 209.33/209.60 % 209.33/209.60 fof(fact_nth__via__drop,axiom, % 209.33/209.60 ! [V_ys,V_y,V_xs,V_n,T_a] : % 209.33/209.60 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys) % 209.33/209.60 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_distinct__drop,axiom, % 209.33/209.60 ! [V_i,V_xs,T_a] : % 209.33/209.60 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 209.33/209.60 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_distinct1__rotate,axiom, % 209.33/209.60 ! [V_xs_2,T_b] : % 209.33/209.60 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2))) % 209.33/209.60 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_butlast__drop,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_drop__butlast,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_drop__take,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_take__drop,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_drop__0,axiom, % 209.33/209.60 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ). % 209.33/209.60 % 209.33/209.60 fof(fact_drop__drop,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_drop__zip,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_length__rotate1,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_length__drop,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_set__rotate1,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_in__set__dropD,axiom, % 209.33/209.60 ! [V_xs_2,V_n_2,V_x_2,T_b] : % 209.33/209.60 ( 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)))) % 209.33/209.60 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_set__drop__subset,axiom, % 209.33/209.60 ! [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))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_drop__Nil,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_rotate1__is__Nil__conv,axiom, % 209.33/209.60 ! [V_xs_2,T_b] : % 209.33/209.60 ( hAPP(c_List_Orotate1(T_b),V_xs_2) = c_List_Olist_ONil(T_b) % 209.33/209.60 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_set__drop__subset__set__drop,axiom, % 209.33/209.60 ! [V_xs_2,T_b,V_m_2,V_n_2] : % 209.33/209.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) % 209.33/209.60 => 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)))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_drop__all,axiom, % 209.33/209.60 ! [V_n,V_xs,T_a] : % 209.33/209.60 ( 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)) % 209.33/209.60 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_drop__eq__Nil,axiom, % 209.33/209.60 ! [V_xs_2,V_n_2,T_b] : % 209.33/209.60 ( hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b) % 209.33/209.60 <=> 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)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_drop__append,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_append__eq__conv__conj,axiom, % 209.33/209.60 ! [V_zs_2,V_ys_2,V_xs_2,T_b] : % 209.33/209.60 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_zs_2 % 209.33/209.60 <=> ( 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) % 209.33/209.60 & 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) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_drop__Cons,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_drop__Cons_H,axiom, % 209.33/209.60 ! [V_xs,V_x,T_a,V_n] : % 209.33/209.60 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.33/209.60 => 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) ) % 209.33/209.60 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.33/209.60 => 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) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_nth__drop,axiom, % 209.33/209.60 ! [V_xs,T_a,V_i,V_n] : % 209.33/209.60 ( 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))) % 209.33/209.60 => 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)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_append__eq__append__conv__if,axiom, % 209.33/209.60 ! [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] : % 209.33/209.60 ( 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) % 209.33/209.60 <=> ( ( 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))) % 209.33/209.60 => ( 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) % 209.33/209.60 & 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) ) ) % 209.33/209.60 & ( ~ 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))) % 209.33/209.60 => ( 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 % 209.33/209.60 & 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 ) ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_nth__drop_H,axiom, % 209.33/209.60 ! [V_xs,T_a,V_i] : % 209.33/209.60 ( 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))) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_rotate__simps,axiom, % 209.33/209.60 ! [V_xs,V_x,T_b,T_a] : % 209.33/209.60 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) % 209.33/209.60 & 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))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_drop__Cons__number__of,axiom, % 209.33/209.60 ! [V_xs,V_x,T_a,V_v] : % 209.33/209.60 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.33/209.60 => 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) ) % 209.33/209.60 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.33/209.60 => 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) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_take__add,axiom, % 209.33/209.60 ! [V_xs,T_a,V_j,V_i] : % 209.33/209.60 ( 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))) % 209.33/209.60 => 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))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_rotate1__length01,axiom, % 209.33/209.60 ! [V_xs,T_a] : % 209.33/209.60 ( 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))) % 209.33/209.60 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_zip__append2,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_zip__append1,axiom, % 209.33/209.60 ! [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))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_id__take__nth__drop,axiom, % 209.33/209.60 ! [V_xs,T_a,V_i] : % 209.33/209.60 ( 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))) % 209.33/209.60 => 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))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_take__hd__drop,axiom, % 209.33/209.60 ! [V_xs,T_a,V_n] : % 209.33/209.60 ( 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))) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_hd__drop__conv__nth,axiom, % 209.33/209.60 ! [V_n,T_a,V_xs] : % 209.33/209.60 ( V_xs != c_List_Olist_ONil(T_a) % 209.33/209.60 => ( 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))) % 209.33/209.60 => 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) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_hd_Osimps,axiom, % 209.33/209.60 ! [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 ). % 209.33/209.60 % 209.33/209.60 fof(fact_hd__append2,axiom, % 209.33/209.60 ! [V_ys,T_a,V_xs] : % 209.33/209.60 ( V_xs != c_List_Olist_ONil(T_a) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_hd__append,axiom, % 209.33/209.60 ! [V_ys,T_a,V_xs] : % 209.33/209.60 ( ( V_xs = c_List_Olist_ONil(T_a) % 209.33/209.60 => 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) ) % 209.33/209.60 & ( V_xs != c_List_Olist_ONil(T_a) % 209.33/209.60 => 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) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_hd__in__set,axiom, % 209.33/209.60 ! [T_b,V_xs_2] : % 209.33/209.60 ( V_xs_2 != c_List_Olist_ONil(T_b) % 209.33/209.60 => 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))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_hd__conv__nth,axiom, % 209.33/209.60 ! [T_a,V_xs] : % 209.33/209.60 ( V_xs != c_List_Olist_ONil(T_a) % 209.33/209.60 => 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)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_rotate1__hd__tl,axiom, % 209.33/209.60 ! [T_a,V_xs] : % 209.33/209.60 ( V_xs != c_List_Olist_ONil(T_a) % 209.33/209.60 => 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))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_hd__rotate__conv__nth,axiom, % 209.33/209.60 ! [V_n,T_a,V_xs] : % 209.33/209.60 ( V_xs != c_List_Olist_ONil(T_a) % 209.33/209.60 => 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))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_drop__tl,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_tl__drop,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_tl_Osimps_I2_J,axiom, % 209.33/209.60 ! [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 ). % 209.33/209.60 % 209.33/209.60 fof(fact_distinct__tl,axiom, % 209.33/209.60 ! [V_xs,T_a] : % 209.33/209.60 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 209.33/209.60 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_distinct__rotate,axiom, % 209.33/209.60 ! [V_xs_2,V_n_2,T_b] : % 209.33/209.60 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2))) % 209.33/209.60 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_rotate__add,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_rotate0,axiom, % 209.33/209.60 ! [T_b] : c_List_Orotate(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_rotate__rotate,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_length__rotate,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_set__rotate,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_tl_Osimps_I1_J,axiom, % 209.33/209.60 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 209.33/209.60 % 209.33/209.60 fof(fact_rotate__is__Nil__conv,axiom, % 209.33/209.60 ! [V_xs_2,V_n_2,T_b] : % 209.33/209.60 ( hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2) = c_List_Olist_ONil(T_b) % 209.33/209.60 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_rotate1__rotate__swap,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_rotate__def,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_tl__append2,axiom, % 209.33/209.60 ! [V_ys,T_a,V_xs] : % 209.33/209.60 ( V_xs != c_List_Olist_ONil(T_a) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_take__tl,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_rotate__conv__mod,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_drop__Suc,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_rotate__Suc,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_tl__append,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_rotate__id,axiom, % 209.33/209.60 ! [V_xs,T_a,V_n] : % 209.33/209.60 ( 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) % 209.33/209.60 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_rotate__length01,axiom, % 209.33/209.60 ! [V_n,V_xs,T_a] : % 209.33/209.60 ( 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))) % 209.33/209.60 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_length__tl,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_tl__take,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_take__Suc,axiom, % 209.33/209.60 ! [V_n,T_a,V_xs] : % 209.33/209.60 ( V_xs != c_List_Olist_ONil(T_a) % 209.33/209.60 => 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))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_rotate__drop__take,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_fold1__set,axiom, % 209.33/209.60 ! [V_xs_2,T_b] : % 209.33/209.60 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 209.33/209.60 => ( V_xs_2 != c_List_Olist_ONil(T_b) % 209.33/209.60 => 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)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sorted__list__of__set__insert,axiom, % 209.33/209.60 ! [V_x_2,V_A_2,T_b] : % 209.33/209.60 ( class_Orderings_Olinorder(T_b) % 209.33/209.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.60 => 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)))))) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_foldl__Nil,axiom, % 209.33/209.60 ! [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 ). % 209.33/209.60 % 209.33/209.60 fof(fact_insort__not__Nil,axiom, % 209.33/209.60 ! [V_xs_2,V_a_2,V_f_2,T_b,T_c] : % 209.33/209.60 ( class_Orderings_Olinorder(T_c) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_remove1__insort,axiom, % 209.33/209.60 ! [V_xs_2,V_x_2,T_b] : % 209.33/209.60 ( class_Orderings_Olinorder(T_b) % 209.33/209.60 => 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 ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_set__insort,axiom, % 209.33/209.60 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 209.33/209.60 ( class_Orderings_Olinorder(T_c) % 209.33/209.60 => 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)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_length__insort,axiom, % 209.33/209.60 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 209.33/209.60 ( class_Orderings_Olinorder(T_c) % 209.33/209.60 => 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)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_start__le__sum,axiom, % 209.33/209.60 ! [V_ns_2,V_n_2,V_m_2] : % 209.33/209.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) % 209.33/209.60 => 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))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_foldl__assoc,axiom, % 209.33/209.60 ! [V_zs_2,V_y_2,V_x_2,T_b] : % 209.33/209.60 ( class_Groups_Osemigroup__add(T_b) % 209.33/209.60 => 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)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_foldl__absorb0,axiom, % 209.33/209.60 ! [V_zs_2,V_x_2,T_b] : % 209.33/209.60 ( class_Groups_Omonoid__add(T_b) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_insort__left__comm,axiom, % 209.33/209.60 ! [V_xs_2,V_y_2,V_x_2,T_b] : % 209.33/209.60 ( class_Orderings_Olinorder(T_b) % 209.33/209.60 => 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)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_insort__key__left__comm,axiom, % 209.33/209.60 ! [V_xs_2,T_c,V_y_2,V_x_2,V_f_2,T_b] : % 209.33/209.60 ( class_Orderings_Olinorder(T_b) % 209.33/209.60 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) % 209.33/209.60 => 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)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_fun__left__comm__insort,axiom, % 209.33/209.60 ! [T_b] : % 209.33/209.60 ( class_Orderings_Olinorder(T_b) % 209.33/209.60 => 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))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_foldl__Cons,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_insort__key_Osimps_I2_J,axiom, % 209.33/209.60 ! [V_ys_2,T_c,V_y_2,V_x_2,V_f_2,T_b] : % 209.33/209.60 ( class_Orderings_Olinorder(T_b) % 209.33/209.60 => ( ( 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))) % 209.33/209.60 => 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)) ) % 209.33/209.60 & ( ~ 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))) % 209.33/209.60 => 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)) ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_insort__key_Osimps_I1_J,axiom, % 209.33/209.60 ! [V_x_2,V_f_2,T_b,T_c] : % 209.33/209.60 ( class_Orderings_Olinorder(T_c) % 209.33/209.60 => 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)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_foldl__append,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_listsum__foldl,axiom, % 209.33/209.60 ! [T_b] : % 209.33/209.60 ( class_Groups_Omonoid__add(T_b) % 209.33/209.60 => 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)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sum__eq__0__conv,axiom, % 209.33/209.60 ! [V_ns_2,V_m_2] : % 209.33/209.60 ( 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) % 209.33/209.60 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.33/209.60 & ! [B_x] : % 209.33/209.60 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 209.33/209.60 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_distinct__insort,axiom, % 209.33/209.60 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 209.33/209.60 ( class_Orderings_Olinorder(T_c) % 209.33/209.60 => ( 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))) % 209.33/209.60 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.60 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_fun__left__comm__idem_Ofold__set,axiom, % 209.33/209.60 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] : % 209.33/209.60 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_Sup__set__fold,axiom, % 209.33/209.60 ! [V_xs_2,T_b] : % 209.33/209.60 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_Inf__set__fold,axiom, % 209.33/209.60 ! [V_xs_2,T_b] : % 209.33/209.60 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_Sup__fin__set__fold,axiom, % 209.33/209.60 ! [V_xs_2,V_x_2,T_b] : % 209.33/209.60 ( class_Lattices_Olattice(T_b) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_Inf__fin__set__fold,axiom, % 209.33/209.60 ! [V_xs_2,V_x_2,T_b] : % 209.33/209.60 ( class_Lattices_Olattice(T_b) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_Min__fin__set__fold,axiom, % 209.33/209.60 ! [V_xs_2,V_x_2,T_b] : % 209.33/209.60 ( class_Orderings_Olinorder(T_b) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_Max__fin__set__fold,axiom, % 209.33/209.60 ! [V_xs_2,V_x_2,T_b] : % 209.33/209.60 ( class_Orderings_Olinorder(T_b) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_min__max_OInf__fin__set__fold,axiom, % 209.33/209.60 ! [V_xs_2,V_x_2,T_b] : % 209.33/209.60 ( class_Orderings_Olinorder(T_b) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_min__max_OSup__fin__set__fold,axiom, % 209.33/209.60 ! [V_xs_2,V_x_2,T_b] : % 209.33/209.60 ( class_Orderings_Olinorder(T_b) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_SUPR__set__fold,axiom, % 209.33/209.60 ! [V_f_2,V_xs_2,T_c,T_b] : % 209.33/209.60 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_INFI__set__fold,axiom, % 209.33/209.60 ! [V_f_2,V_xs_2,T_c,T_b] : % 209.33/209.60 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_elem__le__sum,axiom, % 209.33/209.60 ! [V_ns_2,V_n_2] : % 209.33/209.60 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_n_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 209.33/209.60 => 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))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_insort__insert__insort__key,axiom, % 209.33/209.60 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] : % 209.33/209.60 ( class_Orderings_Olinorder(T_b) % 209.33/209.60 => ( ~ 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)))) % 209.33/209.60 => 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) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_lexord__append__rightI,axiom, % 209.33/209.60 ! [V_r_2,V_x_2,T_b,V_y_2] : % 209.33/209.60 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_b),B_z) % 209.33/209.60 => 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))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_distinct__insort__insert,axiom, % 209.33/209.60 ! [V_x_2,V_f_2,V_xs_2,T_b,T_c] : % 209.33/209.60 ( class_Orderings_Olinorder(T_c) % 209.33/209.60 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 209.33/209.60 => 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))) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_insort__insert__triv,axiom, % 209.33/209.60 ! [V_xs_2,V_x_2,T_b] : % 209.33/209.60 ( class_Orderings_Olinorder(T_b) % 209.33/209.60 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.60 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = V_xs_2 ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_set__insort__insert,axiom, % 209.33/209.60 ! [V_xs_2,V_x_2,T_b] : % 209.33/209.60 ( class_Orderings_Olinorder(T_b) % 209.33/209.60 => 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)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_insort__insert__key__triv,axiom, % 209.33/209.60 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] : % 209.33/209.60 ( class_Orderings_Olinorder(T_b) % 209.33/209.60 => ( 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)))) % 209.33/209.60 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_insort__insert__insort,axiom, % 209.33/209.60 ! [V_xs_2,V_x_2,T_b] : % 209.33/209.60 ( class_Orderings_Olinorder(T_b) % 209.33/209.60 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.60 => 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) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_lexord__Nil__left,axiom, % 209.33/209.60 ! [V_r_2,V_y_2,T_b] : % 209.33/209.60 ( 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))) % 209.33/209.60 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_x) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_last__list__update,axiom, % 209.33/209.60 ! [V_x,V_k,T_a,V_xs] : % 209.33/209.60 ( V_xs != c_List_Olist_ONil(T_a) % 209.33/209.60 => ( ( 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)) % 209.33/209.60 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x ) % 209.33/209.60 & ( 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)) % 209.33/209.60 => 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) ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_last__append,axiom, % 209.33/209.60 ! [V_xs,T_a,V_ys] : % 209.33/209.60 ( ( V_ys = c_List_Olist_ONil(T_a) % 209.33/209.60 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) % 209.33/209.60 & ( V_ys != c_List_Olist_ONil(T_a) % 209.33/209.60 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_last__appendR,axiom, % 209.33/209.60 ! [V_xs,T_a,V_ys] : % 209.33/209.60 ( V_ys != c_List_Olist_ONil(T_a) % 209.33/209.60 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_last__appendL,axiom, % 209.33/209.60 ! [V_xs,T_a,V_ys] : % 209.33/209.60 ( V_ys = c_List_Olist_ONil(T_a) % 209.33/209.60 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_last_Osimps,axiom, % 209.33/209.60 ! [V_x,T_a,V_xs] : % 209.33/209.60 ( ( V_xs = c_List_Olist_ONil(T_a) % 209.33/209.60 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) % 209.33/209.60 & ( V_xs != c_List_Olist_ONil(T_a) % 209.33/209.60 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_last__ConsR,axiom, % 209.33/209.60 ! [V_x,T_a,V_xs] : % 209.33/209.60 ( V_xs != c_List_Olist_ONil(T_a) % 209.33/209.60 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_last__ConsL,axiom, % 209.33/209.60 ! [V_x,T_a,V_xs] : % 209.33/209.60 ( V_xs = c_List_Olist_ONil(T_a) % 209.33/209.60 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_last__in__set,axiom, % 209.33/209.60 ! [T_b,V_as_2] : % 209.33/209.60 ( V_as_2 != c_List_Olist_ONil(T_b) % 209.33/209.60 => hBOOL(hAPP(hAPP(c_member(T_b),c_List_Olast(T_b,V_as_2)),hAPP(c_List_Oset(T_b),V_as_2))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_last__snoc,axiom, % 209.33/209.60 ! [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 ). % 209.33/209.60 % 209.33/209.60 fof(fact_last__drop,axiom, % 209.33/209.60 ! [V_xs,T_a,V_n] : % 209.33/209.60 ( 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))) % 209.33/209.60 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_snoc__eq__iff__butlast,axiom, % 209.33/209.60 ! [V_ys_2,V_x_2,V_xs_2,T_b] : % 209.33/209.60 ( 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 % 209.33/209.60 <=> ( V_ys_2 != c_List_Olist_ONil(T_b) % 209.33/209.60 & c_List_Obutlast(T_b,V_ys_2) = V_xs_2 % 209.33/209.60 & c_List_Olast(T_b,V_ys_2) = V_x_2 ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_append__butlast__last__id,axiom, % 209.33/209.60 ! [T_a,V_xs] : % 209.33/209.60 ( V_xs != c_List_Olist_ONil(T_a) % 209.33/209.60 => 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 ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_last__conv__nth,axiom, % 209.33/209.60 ! [T_a,V_xs] : % 209.33/209.60 ( V_xs != c_List_Olist_ONil(T_a) % 209.33/209.60 => 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))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_lists_Osimps,axiom, % 209.33/209.60 ! [V_A_2,V_a_2,T_b] : % 209.33/209.60 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_a_2),c_List_Olists(T_b,V_A_2))) % 209.33/209.60 <=> ( V_a_2 = c_List_Olist_ONil(T_b) % 209.33/209.60 | ? [B_a,B_l] : % 209.33/209.60 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_l) % 209.33/209.60 & hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 209.33/209.60 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_l),c_List_Olists(T_b,V_A_2))) ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_select__weigth__select,axiom, % 209.33/209.60 ! [T_b,V_xs_2] : % 209.33/209.60 ( V_xs_2 != c_List_Olist_ONil(T_b) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_inj__mapI,axiom, % 209.33/209.60 ! [V_f_2,T_c,T_b] : % 209.33/209.60 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 209.33/209.60 => 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))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_last__map,axiom, % 209.33/209.60 ! [V_f_2,T_c,T_b,V_xs_2] : % 209.33/209.60 ( V_xs_2 != c_List_Olist_ONil(T_b) % 209.33/209.60 => 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)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_inj__on__map__eq__map,axiom, % 209.33/209.60 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] : % 209.33/209.60 ( 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))) % 209.33/209.60 => ( 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) % 209.33/209.60 <=> V_xs_2 = V_ys_2 ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_map__inj__on,axiom, % 209.33/209.60 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 209.33/209.60 ( 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) % 209.33/209.60 => ( 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))) % 209.33/209.60 => V_xs_2 = V_ys_2 ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_list__size__map,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_List_Omap_Oidentity,axiom, % 209.33/209.60 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_List_Omap_Oid,axiom, % 209.33/209.60 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_map__map,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_List_Omap_Ocompositionality,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_map__comp__map,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_List_Omap_Ocomp,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_drop__map,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_hd__map,axiom, % 209.33/209.60 ! [V_f_2,T_c,T_b,V_xs_2] : % 209.33/209.60 ( V_xs_2 != c_List_Olist_ONil(T_b) % 209.33/209.60 => 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)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_map__append,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_map_Osimps_I2_J,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_set__map,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_map__butlast,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_take__map,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_map__ident,axiom, % 209.33/209.60 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)),V_xs_2) = V_xs_2 ). % 209.33/209.60 % 209.33/209.60 fof(fact_map__injective,axiom, % 209.33/209.60 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 209.33/209.60 ( 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) % 209.33/209.60 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 209.33/209.60 => V_xs_2 = V_ys_2 ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_inj__map__eq__map,axiom, % 209.33/209.60 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] : % 209.33/209.60 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 209.33/209.60 => ( 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) % 209.33/209.60 <=> V_xs_2 = V_ys_2 ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_listsum__0,axiom, % 209.33/209.60 ! [V_xs_2,T_c,T_b] : % 209.33/209.60 ( class_Groups_Omonoid__add(T_b) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_listsum__mult__const,axiom, % 209.33/209.60 ! [V_xs_2,V_ca_2,V_f_2,T_c,T_b] : % 209.33/209.60 ( class_Rings_Osemiring__0(T_b) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_listsum__const__mult,axiom, % 209.33/209.60 ! [V_xs_2,V_f_2,V_ca_2,T_c,T_b] : % 209.33/209.60 ( class_Rings_Osemiring__0(T_b) % 209.33/209.60 => 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))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_listsum__subtractf,axiom, % 209.33/209.60 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 209.33/209.60 ( class_Groups_Oab__group__add(T_b) % 209.33/209.60 => 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))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_listsum__addf,axiom, % 209.33/209.60 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 209.33/209.60 ( class_Groups_Ocomm__monoid__add(T_b) % 209.33/209.60 => 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))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_length__map,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_map__eq__imp__length__eq,axiom, % 209.33/209.60 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_b,T_c] : % 209.33/209.60 ( 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) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_map__eq__conv,axiom, % 209.33/209.60 ! [V_g_2,V_xs_2,V_f_2,T_b,T_c] : % 209.33/209.60 ( 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) % 209.33/209.60 <=> ! [B_x] : % 209.33/209.60 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2))) % 209.33/209.60 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_map__update,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_Nil__is__map__conv,axiom, % 209.33/209.60 ! [V_xs_2,V_f_2,T_c,T_b] : % 209.33/209.60 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) % 209.33/209.60 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_map_Osimps_I1_J,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_map__is__Nil__conv,axiom, % 209.33/209.60 ! [V_xs_2,V_f_2,T_b,T_c] : % 209.33/209.60 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = c_List_Olist_ONil(T_b) % 209.33/209.60 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_zip__map__map,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_zip__map1,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_map__zip__map,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_map__zip__map2,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_zip__map2,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_zip__same__conv__map,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_map__tl,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_rotate__map,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_foldl__map,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_nth__map,axiom, % 209.33/209.60 ! [V_f_2,T_c,V_xs_2,T_b,V_n_2] : % 209.33/209.60 ( 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))) % 209.33/209.60 => 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)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_map__fun__upd,axiom, % 209.33/209.60 ! [V_v_2,V_f_2,T_c,V_xs_2,V_y_2,T_b] : % 209.33/209.60 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_distinct__map,axiom, % 209.33/209.60 ! [V_xs_2,V_f_2,T_c,T_b] : % 209.33/209.60 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) % 209.33/209.60 <=> ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2)) % 209.33/209.60 & c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(c_List_Oset(T_c),V_xs_2)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_listsum__abs,axiom, % 209.33/209.60 ! [V_xs_2,T_b] : % 209.33/209.60 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 209.33/209.60 => 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)))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_uminus__listsum__map,axiom, % 209.33/209.60 ! [V_xs_2,V_f_2,T_c,T_b] : % 209.33/209.60 ( class_Groups_Oab__group__add(T_b) % 209.33/209.60 => 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)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_inj__on__mapI,axiom, % 209.33/209.60 ! [V_A_2,V_f_2,T_c,T_b] : % 209.33/209.60 ( 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))) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_inj__map,axiom, % 209.33/209.60 ! [V_f_2,T_c,T_b] : % 209.33/209.60 ( 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))) % 209.33/209.60 <=> c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_inj__mapD,axiom, % 209.33/209.60 ! [V_f_2,T_c,T_b] : % 209.33/209.60 ( 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))) % 209.33/209.60 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_listsum__distinct__conv__setsum__set,axiom, % 209.33/209.60 ! [V_f_2,V_xs_2,T_b,T_c] : % 209.33/209.60 ( class_Groups_Ocomm__monoid__add(T_c) % 209.33/209.60 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 209.33/209.60 => 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)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_listsum__triv,axiom, % 209.33/209.60 ! [V_xs_2,V_r_2,T_c,T_b] : % 209.33/209.60 ( class_Rings_Osemiring__1(T_b) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_listsum__map__remove1,axiom, % 209.33/209.60 ! [V_f_2,V_xs_2,V_x_2,T_b,T_c] : % 209.33/209.60 ( class_Groups_Ocomm__monoid__add(T_c) % 209.33/209.60 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.60 => 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)))) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_Nitpick_Osetsum_H__def,axiom, % 209.33/209.60 ! [V_f_2,V_A_2,T_b,T_c] : % 209.33/209.60 ( class_Groups_Ocomm__monoid__add(T_c) % 209.33/209.60 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.60 => 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))))) ) % 209.33/209.60 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.60 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_pick__same,axiom, % 209.33/209.60 ! [V_xs_2,T_b,V_l_2] : % 209.33/209.60 ( 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))) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_one__code__numeral__def,axiom, % 209.33/209.60 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_less__code__numeral__code,axiom, % 209.33/209.60 ! [V_m_2,V_n_2] : % 209.33/209.60 ( 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))) % 209.33/209.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_Code__Numeral_Oof__nat__code,axiom, % 209.33/209.60 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.60 % 209.33/209.60 fof(fact_times__code__numeral__code,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_Code__Numeral_Oof__nat__inject,axiom, % 209.33/209.60 ! [V_m_2,V_n_2] : % 209.33/209.60 ( hAPP(c_Code__Numeral_Oof__nat,V_n_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2) % 209.33/209.60 <=> V_n_2 = V_m_2 ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_zero__code__numeral__def,axiom, % 209.33/209.60 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_code__numeral_Oof__nat__inject,axiom, % 209.33/209.60 ! [V_y_2,V_x_2] : % 209.33/209.60 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 209.33/209.60 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 209.33/209.60 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2) % 209.33/209.60 <=> V_x_2 = V_y_2 ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_map__fst__zip,axiom, % 209.33/209.60 ! [V_ys_2,T_c,V_xs_2,T_b] : % 209.33/209.60 ( 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) % 209.33/209.60 => 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 ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_map__snd__zip,axiom, % 209.33/209.60 ! [V_ys_2,T_c,V_xs_2,T_b] : % 209.33/209.60 ( 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) % 209.33/209.60 => 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 ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_number__of__code__numeral__def,axiom, % 209.33/209.60 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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_zip__map__fst__snd,axiom, % 209.33/209.60 ! [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 ). % 209.33/209.60 % 209.33/209.60 fof(fact_plus__code__numeral__code,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_less__eq__code__numeral__code,axiom, % 209.33/209.60 ! [V_m_2,V_n_2] : % 209.33/209.60 ( 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))) % 209.33/209.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_pick__member,axiom, % 209.33/209.60 ! [V_xs_2,T_b,V_i_2] : % 209.33/209.60 ( 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)))) % 209.33/209.60 => 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)))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_zip__eq__conv,axiom, % 209.33/209.60 ! [V_zs_2,V_ys_2,T_c,V_xs_2,T_b] : % 209.33/209.60 ( 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) % 209.33/209.60 => ( hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2) = V_zs_2 % 209.33/209.60 <=> ( 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 % 209.33/209.60 & 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 ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_list__size__conv__listsum,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_code__numeral__not__eq__zero,axiom, % 209.33/209.60 ! [V_i_2] : % 209.33/209.60 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 209.33/209.60 <=> 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)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_setsum__set__upto__conv__listsum__int,axiom, % 209.33/209.60 ! [V_j_2,V_i_2,V_f_2,T_b] : % 209.33/209.60 ( class_Groups_Ocomm__monoid__add(T_b) % 209.33/209.60 => 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))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_interv__listsum__conv__setsum__set__int,axiom, % 209.33/209.60 ! [V_l_2,V_k_2,V_f_2,T_b] : % 209.33/209.60 ( class_Groups_Ocomm__monoid__add(T_b) % 209.33/209.60 => 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))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_select__weight__member,axiom, % 209.33/209.60 ! [V_s_2,V_xs_2,T_b] : % 209.33/209.60 ( 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)))) % 209.33/209.60 => 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)))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_select__weight__def,axiom, % 209.33/209.60 ! [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))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_select__def,axiom, % 209.33/209.60 ! [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))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_subtract__code__numeral__code,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_times__code__numeral__def,axiom, % 209.33/209.60 ! [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))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_nat__of__of__nat,axiom, % 209.33/209.60 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ). % 209.33/209.60 % 209.33/209.60 fof(fact_of__nat__nat__of,axiom, % 209.33/209.60 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ). % 209.33/209.60 % 209.33/209.60 fof(fact_nat__of__inverse,axiom, % 209.33/209.60 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ). % 209.33/209.60 % 209.33/209.60 fof(fact_code__numeral_Onat__of__inject,axiom, % 209.33/209.60 ! [V_y_2,V_x_2] : % 209.33/209.60 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2) % 209.33/209.60 <=> V_x_2 = V_y_2 ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_Code__Numeral_Onat__of__inject,axiom, % 209.33/209.60 ! [V_l_2,V_k_2] : % 209.33/209.60 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2) % 209.33/209.60 <=> V_k_2 = V_l_2 ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_type__definition__code__numeral,axiom, % 209.33/209.60 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))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_less__code__numeral__def,axiom, % 209.33/209.60 ! [V_m_2,V_n_2] : % 209.33/209.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2)) % 209.33/209.60 <=> 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))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_nat__of,axiom, % 209.33/209.60 ! [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)))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_nat__of__number,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_int__of__def,axiom, % 209.33/209.60 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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_less__eq__code__numeral__def,axiom, % 209.33/209.60 ! [V_m_2,V_n_2] : % 209.33/209.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2)) % 209.33/209.60 <=> 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))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_nat__of__code,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_nat__of__aux__def,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_Suc__code__numeral__def,axiom, % 209.33/209.60 ! [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))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_minus__code__numeral__def,axiom, % 209.33/209.60 ! [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))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_of__nat__inverse,axiom, % 209.33/209.60 ! [V_y_2] : % 209.33/209.60 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 209.33/209.60 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_plus__code__numeral__def,axiom, % 209.33/209.60 ! [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))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_div__code__numeral__def,axiom, % 209.33/209.60 ! [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))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_minus__code__numeral__code,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_subtract__code__numeral__def,axiom, % 209.33/209.60 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.60 % 209.33/209.60 fof(fact_mod__code__numeral__def,axiom, % 209.33/209.60 ! [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))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_code__numeral__decr,axiom, % 209.33/209.60 ! [V_k] : % 209.33/209.60 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 209.33/209.60 => 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))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_listsum__mono,axiom, % 209.33/209.60 ! [V_g_2,V_f_2,V_xs_2,T_b,T_c] : % 209.33/209.60 ( ( class_Groups_Omonoid__add(T_c) % 209.33/209.60 & class_Groups_Oordered__ab__semigroup__add(T_c) ) % 209.33/209.60 => ( ! [B_x] : % 209.33/209.60 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 209.33/209.60 => 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)))) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_New__DSequence_Opos__not__seq__def,axiom, % 209.33/209.60 ! [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))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_partition__set,axiom, % 209.33/209.60 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] : % 209.33/209.60 ( 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) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_lists__IntI,axiom, % 209.33/209.60 ! [V_B_2,V_A_2,V_l_2,T_b] : % 209.33/209.60 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_A_2))) % 209.33/209.60 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_B_2))) % 209.33/209.60 => 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)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_listsp_ONil,axiom, % 209.33/209.60 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_append__in__listsp__conv,axiom, % 209.33/209.60 ! [V_ys_2,V_xs_2,V_A_2,T_b] : % 209.33/209.60 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))) % 209.33/209.60 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2)) % 209.33/209.60 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_ys_2)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_listsp_Oequations_I2_J,axiom, % 209.33/209.60 ! [V_a2_2,V_a1_2,V_A_2,T_b] : % 209.33/209.60 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a2_2))) % 209.33/209.60 <=> ( hBOOL(hAPP(V_A_2,V_a1_2)) % 209.33/209.60 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_a2_2)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_listsp__infI,axiom, % 209.33/209.60 ! [V_B_2,V_l_2,V_A_2,T_b] : % 209.33/209.60 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_l_2)) % 209.33/209.60 => ( hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_l_2)) % 209.33/209.60 => 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)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_listsp__inf__eq,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_listsp__conj__eq,axiom, % 209.33/209.60 ! [V_x_2,V_B_2,V_A_2,T_b] : % 209.33/209.60 ( 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)) % 209.33/209.60 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_x_2)) % 209.33/209.60 & hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_x_2)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_in__listsp__conv__set,axiom, % 209.33/209.60 ! [V_xs_2,V_A_2,T_b] : % 209.33/209.60 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2)) % 209.33/209.60 <=> ! [B_x] : % 209.33/209.60 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.60 => hBOOL(hAPP(V_A_2,B_x)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_listsp_Oequations_I1_J,axiom, % 209.33/209.60 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_listsp__mono,axiom, % 209.33/209.60 ! [V_B_2,V_A_2,T_b] : % 209.33/209.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 209.33/209.60 => 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))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_partition__P,axiom, % 209.33/209.60 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] : % 209.33/209.60 ( 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) % 209.33/209.60 => ( ! [B_x] : % 209.33/209.60 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_yes_2))) % 209.33/209.60 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 209.33/209.60 & ! [B_x] : % 209.33/209.60 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_no_2))) % 209.33/209.60 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_partition_Osimps_I1_J,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_listsp__lists__eq,axiom, % 209.33/209.60 ! [V_x_2,V_A_2,T_b] : % 209.33/209.60 ( 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)) % 209.33/209.60 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_x_2),c_List_Olists(T_b,V_A_2))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_partition_Osimps_I2_J,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_lists__Int__eq,axiom, % 209.33/209.60 ! [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))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_product_Osimps_I2_J,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_list__all2__def,axiom, % 209.33/209.60 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 209.33/209.60 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 209.33/209.60 <=> ( 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) % 209.33/209.60 & ! [B_x] : % 209.33/209.60 ( 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)))) % 209.33/209.60 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_list__all2__map2,axiom, % 209.33/209.60 ! [V_bs_2,V_f_2,T_d,V_as_2,V_Pa_2,T_c,T_b] : % 209.33/209.60 ( 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)) % 209.33/209.60 <=> 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_list__all2__map1,axiom, % 209.33/209.60 ! [V_bs_2,V_as_2,V_f_2,T_d,V_Pa_2,T_c,T_b] : % 209.33/209.60 ( 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) % 209.33/209.60 <=> 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_list__all2__Nil2,axiom, % 209.33/209.60 ! [V_xs_2,V_Pa_2,T_c,T_b] : % 209.33/209.60 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,c_List_Olist_ONil(T_c)) % 209.33/209.60 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_list__all2__Nil,axiom, % 209.33/209.60 ! [V_ys_2,V_Pa_2,T_c,T_b] : % 209.33/209.60 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,c_List_Olist_ONil(T_b),V_ys_2) % 209.33/209.60 <=> V_ys_2 = c_List_Olist_ONil(T_c) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_list__all2__lengthD,axiom, % 209.33/209.60 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 209.33/209.60 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_list__all2__eq,axiom, % 209.33/209.60 ! [T_b,V_ys_2,V_xs_2] : % 209.33/209.60 ( V_xs_2 = V_ys_2 % 209.33/209.60 <=> c_List_Olist__all2(T_b,T_b,c_fequal,V_xs_2,V_ys_2) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_list__all2__takeI,axiom, % 209.33/209.60 ! [V_n_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 209.33/209.60 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 209.33/209.60 => 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)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_list__all2__Cons,axiom, % 209.33/209.60 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_Pa_2,T_c,T_b] : % 209.33/209.60 ( 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)) % 209.33/209.60 <=> ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 209.33/209.60 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_list__all2__append,axiom, % 209.33/209.60 ! [V_vs_2,V_us_2,V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] : % 209.33/209.60 ( 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) % 209.33/209.60 => ( 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)) % 209.33/209.60 <=> ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 209.33/209.60 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_us_2,V_vs_2) ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_list__all2__appendI,axiom, % 209.33/209.60 ! [V_d_2,V_ca_2,V_ba_2,V_a_2,V_Pa_2,T_c,T_b] : % 209.33/209.60 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_ba_2) % 209.33/209.60 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_ca_2,V_d_2) % 209.33/209.60 => 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)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_list__all2__dropI,axiom, % 209.33/209.60 ! [V_n_2,V_bs_2,V_as_2,V_Pa_2,T_c,T_b] : % 209.33/209.60 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_as_2,V_bs_2) % 209.33/209.60 => 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)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_product_Osimps_I1_J,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_list__all2__nthD2,axiom, % 209.33/209.60 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 209.33/209.60 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 209.33/209.60 => ( 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))) % 209.33/209.60 => 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))) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_list__all2__nthD,axiom, % 209.33/209.60 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 209.33/209.60 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 209.33/209.60 => ( 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))) % 209.33/209.60 => 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))) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_list__all2__conv__all__nth,axiom, % 209.33/209.60 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 209.33/209.60 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 209.33/209.60 <=> ( 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) % 209.33/209.60 & ! [B_i] : % 209.33/209.60 ( 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))) % 209.33/209.60 => 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))) ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_list__all2__update__cong2,axiom, % 209.33/209.60 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 209.33/209.60 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 209.33/209.60 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 209.33/209.60 => ( 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))) % 209.33/209.60 => 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)) ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_list__all2__update__cong,axiom, % 209.33/209.60 ! [V_y_2,V_x_2,V_ys_2,V_Pa_2,T_c,V_xs_2,T_b,V_i_2] : % 209.33/209.60 ( 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))) % 209.33/209.60 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 209.33/209.60 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 209.33/209.60 => 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)) ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_distinct__product,axiom, % 209.33/209.60 ! [V_ys,T_b,V_xs,T_a] : % 209.33/209.60 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 209.33/209.60 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys)) % 209.33/209.60 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_product__list__set,axiom, % 209.33/209.60 ! [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))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sublists__powset,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_length__sublists,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sublists_Osimps_I1_J,axiom, % 209.33/209.60 ! [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))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sublists_Osimps_I2_J,axiom, % 209.33/209.60 ! [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))))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_distinct__set__sublists,axiom, % 209.33/209.60 ! [V_xs_2,T_b] : % 209.33/209.60 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 209.33/209.60 => 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)))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_set__n__lists,axiom, % 209.33/209.60 ! [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)))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_enum__the__def,axiom, % 209.33/209.60 ! [V_Pa_2,T_b] : c_Enum_Oenum__the(T_b,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) ). % 209.33/209.60 % 209.33/209.60 fof(fact_distinct__n__lists,axiom, % 209.33/209.60 ! [V_n,V_xs,T_a] : % 209.33/209.60 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 209.33/209.60 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_n__lists_Osimps_I1_J,axiom, % 209.33/209.60 ! [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))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_n__lists__Nil,axiom, % 209.33/209.60 ! [T_a,V_n] : % 209.33/209.60 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.33/209.60 => 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))) ) % 209.33/209.60 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.33/209.60 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_length__n__lists,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_length__n__lists__elem,axiom, % 209.33/209.60 ! [V_xs_2,V_n_2,V_ys_2,T_b] : % 209.33/209.60 ( 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)))) % 209.33/209.60 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_list__all2I,axiom, % 209.33/209.60 ! [V_Pa_2,V_ba_2,V_a_2,T_c,T_b] : % 209.33/209.60 ( ! [B_x] : % 209.33/209.60 ( 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)))) % 209.33/209.60 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) ) % 209.33/209.60 => ( 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) % 209.33/209.60 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_ba_2) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_all__nth__imp__all__set,axiom, % 209.33/209.60 ! [V_x_2,V_Pa_2,V_xs_2,T_b] : % 209.33/209.60 ( ! [B_i] : % 209.33/209.60 ( 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))) % 209.33/209.60 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) % 209.33/209.60 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.60 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_fun__left__comm_Ofold__set__remdups,axiom, % 209.33/209.60 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] : % 209.33/209.60 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 209.33/209.60 => 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)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_map__removeAll__inj__on,axiom, % 209.33/209.60 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] : % 209.33/209.60 ( 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))) % 209.33/209.60 => 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)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_distinct__remdups,axiom, % 209.33/209.60 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_length__remdups__leq,axiom, % 209.33/209.60 ! [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))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_remdups__id__iff__distinct,axiom, % 209.33/209.60 ! [V_xs_2,T_b] : % 209.33/209.60 ( c_List_Oremdups(T_b,V_xs_2) = V_xs_2 % 209.33/209.60 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_distinct__removeAll,axiom, % 209.33/209.60 ! [V_x,V_xs,T_a] : % 209.33/209.60 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 209.33/209.60 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_distinct__remdups__id,axiom, % 209.33/209.60 ! [V_xs,T_a] : % 209.33/209.60 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 209.33/209.60 => c_List_Oremdups(T_a,V_xs) = V_xs ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_length__remdups__eq,axiom, % 209.33/209.60 ! [V_xs_2,T_b] : % 209.33/209.60 ( 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) % 209.33/209.60 <=> c_List_Oremdups(T_b,V_xs_2) = V_xs_2 ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_set__remdups,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_remdups__remdups,axiom, % 209.33/209.60 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ). % 209.33/209.60 % 209.33/209.60 fof(fact_removeAll__append,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_removeAll_Osimps_I2_J,axiom, % 209.33/209.60 ! [V_xs,T_a,V_y,V_x] : % 209.33/209.60 ( ( V_x = V_y % 209.33/209.60 => 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) ) % 209.33/209.60 & ( V_x != V_y % 209.33/209.60 => 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)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_remdups_Osimps_I1_J,axiom, % 209.33/209.60 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 209.33/209.60 % 209.33/209.60 fof(fact_remdups__eq__nil__right__iff,axiom, % 209.33/209.60 ! [V_x_2,T_b] : % 209.33/209.60 ( c_List_Olist_ONil(T_b) = c_List_Oremdups(T_b,V_x_2) % 209.33/209.60 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_removeAll_Osimps_I1_J,axiom, % 209.33/209.60 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 209.33/209.60 % 209.33/209.60 fof(fact_remdups__eq__nil__iff,axiom, % 209.33/209.60 ! [V_x_2,T_b] : % 209.33/209.60 ( c_List_Oremdups(T_b,V_x_2) = c_List_Olist_ONil(T_b) % 209.33/209.60 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_remdups__map__remdups,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_remove1__remdups,axiom, % 209.33/209.60 ! [V_x,V_xs,T_a] : % 209.33/209.60 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 209.33/209.60 => 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)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_removeAll__id,axiom, % 209.33/209.60 ! [V_xs_2,V_x_2,T_b] : % 209.33/209.60 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.60 => hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2) = V_xs_2 ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_distinct__remove1__removeAll,axiom, % 209.33/209.60 ! [V_x,V_xs,T_a] : % 209.33/209.60 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 209.33/209.60 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_remdups_Osimps_I2_J,axiom, % 209.33/209.60 ! [V_xs_2,V_x_2,T_b] : % 209.33/209.60 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.60 => 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) ) % 209.33/209.60 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.60 => 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)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_length__remdups__card__conv,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_map__removeAll__inj,axiom, % 209.33/209.60 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] : % 209.33/209.60 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 209.33/209.60 => 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)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_set__removeAll,axiom, % 209.33/209.60 ! [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)))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_length__remdups__concat,axiom, % 209.33/209.60 ! [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))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sorted__list__of__set__sort__remdups,axiom, % 209.33/209.60 ! [V_xs_2,T_b] : % 209.33/209.60 ( class_Orderings_Olinorder(T_b) % 209.33/209.60 => 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)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_concat__conv__foldl,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_foldl__conv__concat,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sort__key__simps_I1_J,axiom, % 209.33/209.60 ! [V_f_2,T_b,T_c] : % 209.33/209.60 ( class_Orderings_Olinorder(T_c) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_concat_Osimps_I1_J,axiom, % 209.33/209.60 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ). % 209.33/209.60 % 209.33/209.60 fof(fact_set__sort,axiom, % 209.33/209.60 ! [V_xs_2,V_f_2,T_b,T_c] : % 209.33/209.60 ( class_Orderings_Olinorder(T_c) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_length__sort,axiom, % 209.33/209.60 ! [V_xs_2,V_f_2,T_b,T_c] : % 209.33/209.60 ( class_Orderings_Olinorder(T_c) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_distinct__sort,axiom, % 209.33/209.60 ! [V_xs_2,V_f_2,T_b,T_c] : % 209.33/209.60 ( class_Orderings_Olinorder(T_c) % 209.33/209.60 => ( hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2))) % 209.33/209.60 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_concat_Osimps_I2_J,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_Nil__eq__concat__conv,axiom, % 209.33/209.60 ! [V_xss_2,T_b] : % 209.33/209.60 ( c_List_Olist_ONil(T_b) = c_List_Oconcat(T_b,V_xss_2) % 209.33/209.60 <=> ! [B_x] : % 209.33/209.60 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2))) % 209.33/209.60 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_concat__eq__Nil__conv,axiom, % 209.33/209.60 ! [V_xss_2,T_b] : % 209.33/209.60 ( c_List_Oconcat(T_b,V_xss_2) = c_List_Olist_ONil(T_b) % 209.33/209.60 <=> ! [B_x] : % 209.33/209.60 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2))) % 209.33/209.60 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_map__concat,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_length__concat,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_set__concat,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sort__key__simps_I2_J,axiom, % 209.33/209.60 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 209.33/209.60 ( class_Orderings_Olinorder(T_c) % 209.33/209.60 => 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)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_concat__append,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sort__foldl__insort,axiom, % 209.33/209.60 ! [V_xs_2,T_b] : % 209.33/209.60 ( class_Orderings_Olinorder(T_b) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_concat__eq__concat__iff,axiom, % 209.33/209.60 ! [V_ys_2,V_xs_2,T_b] : % 209.33/209.60 ( ! [B_x] : % 209.33/209.60 ( 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)))) % 209.33/209.60 => 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)) ) % 209.33/209.60 => ( 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) % 209.33/209.60 => ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2) % 209.33/209.60 <=> V_xs_2 = V_ys_2 ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_concat__injective,axiom, % 209.33/209.60 ! [V_ys_2,V_xs_2,T_b] : % 209.33/209.60 ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2) % 209.33/209.60 => ( 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) % 209.33/209.60 => ( ! [B_x] : % 209.33/209.60 ( 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)))) % 209.33/209.60 => 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)) ) % 209.33/209.60 => V_xs_2 = V_ys_2 ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_concat__map__singleton,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_n__lists_Osimps_I2_J,axiom, % 209.33/209.60 ! [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))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_transpose_Osimps_I3_J,axiom, % 209.33/209.60 ! [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))))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_transpose__aux__filter__head,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_filter__concat,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_filter__sort,axiom, % 209.33/209.60 ! [V_xs_2,V_f_2,V_Pa_2,T_b,T_c] : % 209.33/209.60 ( class_Orderings_Olinorder(T_c) % 209.33/209.60 => 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)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_partition__filter2,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_distinct__filter,axiom, % 209.33/209.60 ! [V_Pa_2,V_xs_2,T_b] : % 209.33/209.60 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 209.33/209.60 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sum__length__filter__compl,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_length__filter__le,axiom, % 209.33/209.60 ! [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))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_filter__id__conv,axiom, % 209.33/209.60 ! [V_xs_2,V_Pa_2,T_b] : % 209.33/209.60 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = V_xs_2 % 209.33/209.60 <=> ! [B_x] : % 209.33/209.60 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.60 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_filter__is__subset,axiom, % 209.33/209.60 ! [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))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_partition__filter1,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_remove1__filter__not,axiom, % 209.33/209.60 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 209.33/209.60 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_filter__remove1,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_filter__filter,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_filter__insort__triv,axiom, % 209.33/209.60 ! [V_xs_2,V_f_2,T_b,V_x_2,V_Pa_2,T_c] : % 209.33/209.60 ( class_Orderings_Olinorder(T_c) % 209.33/209.60 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 209.33/209.60 => 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) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_filter__map,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_filter__append,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_filter_Osimps_I2_J,axiom, % 209.33/209.60 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 209.33/209.60 ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 209.33/209.60 => 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)) ) % 209.33/209.60 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 209.33/209.60 => 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) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_transpose_Osimps_I1_J,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_filter_Osimps_I1_J,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_filter__empty__conv,axiom, % 209.33/209.60 ! [V_xs_2,V_Pa_2,T_b] : % 209.33/209.60 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = c_List_Olist_ONil(T_b) % 209.33/209.60 <=> ! [B_x] : % 209.33/209.60 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.60 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_removeAll__filter__not,axiom, % 209.33/209.60 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 209.33/209.60 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_remdups__filter,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_removeAll__filter__not__eq,axiom, % 209.33/209.60 ! [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))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_transpose_Osimps_I2_J,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_nth__transpose,axiom, % 209.33/209.60 ! [V_xs_2,T_b,V_i_2] : % 209.33/209.60 ( 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)))) % 209.33/209.60 => 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)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_transpose__map__map,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_set__filter,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_length__filter__map,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_length__filter__less,axiom, % 209.33/209.60 ! [V_Pa_2,V_xs_2,V_x_2,T_b] : % 209.33/209.60 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.60 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 209.33/209.60 => 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))) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_partition__filter__conv,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_set__minus__filter__out,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_filter__in__sublist,axiom, % 209.33/209.60 ! [V_s_2,V_xs_2,T_b] : % 209.33/209.60 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_transpose__empty,axiom, % 209.33/209.60 ! [V_xs_2,T_b] : % 209.33/209.60 ( c_List_Otranspose(T_b,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_b)) % 209.33/209.60 <=> ! [B_x] : % 209.33/209.60 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 209.33/209.60 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_length__filter__conv__card,axiom, % 209.33/209.60 ! [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))))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_transpose__aux__filter__tail,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_transpose_Opsimps_I3_J,axiom, % 209.33/209.60 ! [V_xss_2,V_xs_2,V_x_2,T_b] : % 209.33/209.60 ( 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))) % 209.33/209.60 => 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))))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_transpose_Opsimps_I2_J,axiom, % 209.33/209.60 ! [V_xss_2,T_b] : % 209.33/209.60 ( 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))) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sublist__shift__lemma__Suc,axiom, % 209.33/209.60 ! [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)))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_pick__drop__zero,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_select__weigth__drop__zero,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_transpose_Opsimps_I1_J,axiom, % 209.33/209.60 ! [T_b] : % 209.33/209.60 ( 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)))) % 209.33/209.60 => c_List_Otranspose(T_b,c_List_Olist_ONil(tc_List_Olist(T_b))) = c_List_Olist_ONil(tc_List_Olist(T_b)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_transpose__max__length,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_transpose__aux__max,axiom, % 209.33/209.60 ! [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)))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_foldr__append,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_foldr_Osimps_I2_J,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_foldr_Osimps_I1_J,axiom, % 209.33/209.60 ! [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 ). % 209.33/209.60 % 209.33/209.60 fof(fact_foldr__conv__foldl,axiom, % 209.33/209.60 ! [V_a_2,V_xs_2,T_b] : % 209.33/209.60 ( class_Groups_Oab__semigroup__add(T_b) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_foldr__map,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_foldl__foldr1__lemma,axiom, % 209.33/209.60 ! [V_xs_2,V_a_2,T_b] : % 209.33/209.60 ( class_Groups_Omonoid__add(T_b) % 209.33/209.60 => 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))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_foldl__foldr1,axiom, % 209.33/209.60 ! [V_xs_2,T_b] : % 209.33/209.60 ( class_Groups_Omonoid__add(T_b) % 209.33/209.60 => 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)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_length__transpose,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sublist__def,axiom, % 209.33/209.60 ! [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))))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sublist__shift__lemma,axiom, % 209.33/209.60 ! [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))))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_atLeastLessThan__upt,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_set__upt,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_upt__0,axiom, % 209.33/209.60 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ). % 209.33/209.60 % 209.33/209.60 fof(fact_upt__conv__Nil,axiom, % 209.33/209.60 ! [V_i,V_j] : % 209.33/209.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i)) % 209.33/209.60 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_upt__eq__Nil__conv,axiom, % 209.33/209.60 ! [V_j_2,V_i_2] : % 209.33/209.60 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat) % 209.33/209.60 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.33/209.60 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_upt__conv__Cons,axiom, % 209.33/209.60 ! [V_j,V_i] : % 209.33/209.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 209.33/209.60 => 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)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_upt__rec,axiom, % 209.33/209.60 ! [V_j,V_i] : % 209.33/209.60 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 209.33/209.60 => 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)) ) % 209.33/209.60 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 209.33/209.60 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_upt__add__eq__append,axiom, % 209.33/209.60 ! [V_k,V_j,V_i] : % 209.33/209.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 209.33/209.60 => 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))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_upt__Suc__append,axiom, % 209.33/209.60 ! [V_j,V_i] : % 209.33/209.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 209.33/209.60 => 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))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_upt__Suc,axiom, % 209.33/209.60 ! [V_j,V_i] : % 209.33/209.60 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 209.33/209.60 => 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))) ) % 209.33/209.60 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 209.33/209.60 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_drop__upt,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_hd__upt,axiom, % 209.33/209.60 ! [V_j,V_i] : % 209.33/209.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 209.33/209.60 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sorted__list__of__set__range,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_take__upt,axiom, % 209.33/209.60 ! [V_n,V_m,V_i] : % 209.33/209.60 ( 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)) % 209.33/209.60 => 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)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_distinct__upt,axiom, % 209.33/209.60 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_length__upt,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_upt__rec__number__of,axiom, % 209.33/209.60 ! [V_n,V_m] : % 209.33/209.60 ( ( 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))) % 209.33/209.60 => 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))) ) % 209.33/209.60 & ( ~ 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))) % 209.33/209.60 => 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) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_upt__eq__Cons__conv,axiom, % 209.33/209.60 ! [V_xs_2,V_x_2,V_j_2,V_i_2] : % 209.33/209.60 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2) % 209.33/209.60 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2)) % 209.33/209.60 & V_i_2 = V_x_2 % 209.33/209.60 & 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 ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_last__upt,axiom, % 209.33/209.60 ! [V_j,V_i] : % 209.33/209.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 209.33/209.60 => 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)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_map__Suc__upt,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_atLeastAtMost__upt,axiom, % 209.33/209.60 ! [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))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_atLeast__upt,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_nth__upt,axiom, % 209.33/209.60 ! [V_j,V_k,V_i] : % 209.33/209.60 ( 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)) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_greaterThanAtMost__upt,axiom, % 209.33/209.60 ! [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))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_greaterThanLessThan__upt,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_atMost__upto,axiom, % 209.33/209.60 ! [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))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_map__nth,axiom, % 209.33/209.60 ! [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 ). % 209.33/209.60 % 209.33/209.60 fof(fact_setsum__set__upt__conv__listsum__nat,axiom, % 209.33/209.60 ! [V_n_2,V_m_2,V_f_2,T_b] : % 209.33/209.60 ( class_Groups_Ocomm__monoid__add(T_b) % 209.33/209.60 => 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))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_interv__listsum__conv__setsum__set__nat,axiom, % 209.33/209.60 ! [V_n_2,V_m_2,V_f_2,T_b] : % 209.33/209.60 ( class_Groups_Ocomm__monoid__add(T_b) % 209.33/209.60 => 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))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_nth__map__upt,axiom, % 209.33/209.60 ! [V_f_2,T_b,V_m_2,V_n_2,V_i_2] : % 209.33/209.60 ( 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))) % 209.33/209.60 => 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)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_transpose__rectangle,axiom, % 209.33/209.60 ! [V_n_2,T_b,V_xs_2] : % 209.33/209.60 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b)) % 209.33/209.60 => V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 209.33/209.60 => ( ! [B_i] : % 209.33/209.60 ( 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))) % 209.33/209.60 => 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 ) % 209.33/209.60 => 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)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_insort__key__remove1,axiom, % 209.33/209.60 ! [V_f_2,V_xs_2,V_a_2,T_b,T_c] : % 209.33/209.60 ( class_Orderings_Olinorder(T_c) % 209.33/209.60 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.60 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) % 209.33/209.60 => ( 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 % 209.33/209.60 => 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 ) ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sorted_ONil,axiom, % 209.33/209.60 ! [T_a] : % 209.33/209.60 ( class_Orderings_Olinorder(T_a) % 209.33/209.60 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sorted__single,axiom, % 209.33/209.60 ! [V_x,T_a] : % 209.33/209.60 ( class_Orderings_Olinorder(T_a) % 209.33/209.60 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sorted__upt,axiom, % 209.33/209.60 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sorted__sort,axiom, % 209.33/209.60 ! [V_xs_2,T_b] : % 209.33/209.60 ( class_Orderings_Olinorder(T_b) % 209.33/209.60 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sorted__insort__insert,axiom, % 209.33/209.60 ! [V_x_2,V_xs_2,T_b] : % 209.33/209.60 ( class_Orderings_Olinorder(T_b) % 209.33/209.60 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 209.33/209.60 => 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)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sorted__tl,axiom, % 209.33/209.60 ! [V_xs,T_a] : % 209.33/209.60 ( class_Orderings_Olinorder(T_a) % 209.33/209.60 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 209.33/209.60 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sorted__remove1,axiom, % 209.33/209.60 ! [V_a,V_xs,T_a] : % 209.33/209.60 ( class_Orderings_Olinorder(T_a) % 209.33/209.60 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 209.33/209.60 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sorted__take,axiom, % 209.33/209.60 ! [V_n,V_xs,T_a] : % 209.33/209.60 ( class_Orderings_Olinorder(T_a) % 209.33/209.60 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 209.33/209.60 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sorted__upto,axiom, % 209.33/209.60 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sorted__drop,axiom, % 209.33/209.60 ! [V_n,V_xs,T_a] : % 209.33/209.60 ( class_Orderings_Olinorder(T_a) % 209.33/209.60 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 209.33/209.60 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sorted__insort,axiom, % 209.33/209.60 ! [V_xs_2,V_x_2,T_b] : % 209.33/209.60 ( class_Orderings_Olinorder(T_b) % 209.33/209.60 => ( 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)) % 209.33/209.60 <=> c_List_Olinorder__class_Osorted(T_b,V_xs_2) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sorted__many,axiom, % 209.33/209.60 ! [V_zs,V_y,V_x,T_a] : % 209.33/209.60 ( class_Orderings_Olinorder(T_a) % 209.33/209.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 209.33/209.60 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs)) % 209.33/209.60 => 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))) ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sorted__many__eq,axiom, % 209.33/209.60 ! [V_zs_2,V_y_2,V_x_2,T_b] : % 209.33/209.60 ( class_Orderings_Olinorder(T_b) % 209.33/209.60 => ( 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))) % 209.33/209.60 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 209.33/209.60 & c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)) ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sorted_Oequations_I1_J,axiom, % 209.33/209.60 ! [T_a] : % 209.33/209.60 ( class_Orderings_Olinorder(T_a) % 209.33/209.60 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sorted__butlast,axiom, % 209.33/209.60 ! [V_xs,T_a] : % 209.33/209.60 ( class_Orderings_Olinorder(T_a) % 209.33/209.60 => ( V_xs != c_List_Olist_ONil(T_a) % 209.33/209.60 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 209.33/209.60 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sorted__remdups,axiom, % 209.33/209.60 ! [V_l,T_a] : % 209.33/209.60 ( class_Orderings_Olinorder(T_a) % 209.33/209.60 => ( c_List_Olinorder__class_Osorted(T_a,V_l) % 209.33/209.60 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sorted__distinct__set__unique,axiom, % 209.33/209.60 ! [V_ys_2,V_xs_2,T_b] : % 209.33/209.60 ( class_Orderings_Olinorder(T_b) % 209.33/209.60 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 209.33/209.60 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 209.33/209.60 => ( c_List_Olinorder__class_Osorted(T_b,V_ys_2) % 209.33/209.60 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2)) % 209.33/209.60 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2) % 209.33/209.60 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sorted__sort__key,axiom, % 209.33/209.60 ! [V_xs_2,V_f_2,T_c,T_b] : % 209.33/209.60 ( class_Orderings_Olinorder(T_b) % 209.33/209.60 => 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))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sorted__insort__insert__key,axiom, % 209.33/209.60 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] : % 209.33/209.60 ( class_Orderings_Olinorder(T_b) % 209.33/209.60 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 209.33/209.60 => 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))) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sorted__map__remove1,axiom, % 209.33/209.60 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] : % 209.33/209.60 ( class_Orderings_Olinorder(T_b) % 209.33/209.60 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 209.33/209.60 => 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))) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sorted__insort__key,axiom, % 209.33/209.60 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] : % 209.33/209.60 ( class_Orderings_Olinorder(T_b) % 209.33/209.60 => ( 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))) % 209.33/209.60 <=> c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sorted__filter,axiom, % 209.33/209.60 ! [V_Pa_2,V_xs_2,V_f_2,T_c,T_b] : % 209.33/209.60 ( class_Orderings_Olinorder(T_b) % 209.33/209.60 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 209.33/209.60 => 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))) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sorted__map__same,axiom, % 209.33/209.60 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 209.33/209.60 ( class_Orderings_Olinorder(T_b) % 209.33/209.60 => 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))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sorted__same,axiom, % 209.33/209.60 ! [V_xs_2,V_g_2,T_b] : % 209.33/209.60 ( class_Orderings_Olinorder(T_b) % 209.33/209.60 => 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)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sorted__Cons,axiom, % 209.33/209.60 ! [V_xs_2,V_x_2,T_b] : % 209.33/209.60 ( class_Orderings_Olinorder(T_b) % 209.33/209.60 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 209.33/209.60 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 209.33/209.60 & ! [B_x] : % 209.33/209.60 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sorted__append,axiom, % 209.33/209.60 ! [V_ys_2,V_xs_2,T_b] : % 209.33/209.60 ( class_Orderings_Olinorder(T_b) % 209.33/209.60 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) % 209.33/209.60 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 209.33/209.60 & c_List_Olinorder__class_Osorted(T_b,V_ys_2) % 209.33/209.60 & ! [B_x] : % 209.33/209.60 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.60 => ! [B_xa] : % 209.33/209.60 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),V_ys_2))) % 209.33/209.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_filter__insort,axiom, % 209.33/209.60 ! [V_x_2,V_Pa_2,V_xs_2,V_f_2,T_c,T_b] : % 209.33/209.60 ( class_Orderings_Olinorder(T_b) % 209.33/209.60 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 209.33/209.60 => ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 209.33/209.60 => 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)) ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sorted_Oequations_I2_J,axiom, % 209.33/209.60 ! [V_a1_2,V_a2_2,T_b] : % 209.33/209.60 ( class_Orderings_Olinorder(T_b) % 209.33/209.60 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a1_2)) % 209.33/209.60 <=> ( ! [B_x] : % 209.33/209.60 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_a1_2))) % 209.33/209.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a2_2),B_x)) ) % 209.33/209.60 & c_List_Olinorder__class_Osorted(T_b,V_a1_2) ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sorted__list__of__set,axiom, % 209.33/209.60 ! [V_A_2,T_b] : % 209.33/209.60 ( class_Orderings_Olinorder(T_b) % 209.33/209.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.60 => ( hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) = V_A_2 % 209.33/209.60 & c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) % 209.33/209.60 & hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))) ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_insort__remove1,axiom, % 209.33/209.60 ! [V_xs_2,V_a_2,T_b] : % 209.33/209.60 ( class_Orderings_Olinorder(T_b) % 209.33/209.60 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.60 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 209.33/209.60 => 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 ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sorted__equals__nth__mono,axiom, % 209.33/209.60 ! [V_xs_2,T_b] : % 209.33/209.60 ( class_Orderings_Olinorder(T_b) % 209.33/209.60 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 209.33/209.60 <=> ! [B_j] : % 209.33/209.60 ( 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))) % 209.33/209.60 => ! [B_i] : % 209.33/209.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j)) % 209.33/209.60 => 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))) ) ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sorted__nth__mono,axiom, % 209.33/209.60 ! [V_j,V_i,V_xs,T_a] : % 209.33/209.60 ( class_Orderings_Olinorder(T_a) % 209.33/209.60 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 209.33/209.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 209.33/209.60 => ( 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))) % 209.33/209.60 => 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))) ) ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_map__sorted__distinct__set__unique,axiom, % 209.33/209.60 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 209.33/209.60 ( class_Orderings_Olinorder(T_c) % 209.33/209.60 => ( 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))) % 209.33/209.60 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) % 209.33/209.60 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))) % 209.33/209.60 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)) % 209.33/209.60 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2))) % 209.33/209.60 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2) % 209.33/209.60 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_transpose__column,axiom, % 209.33/209.60 ! [V_i_2,V_xs_2,T_b] : % 209.33/209.60 ( 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))) % 209.33/209.60 => ( 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))) % 209.33/209.60 => 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) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_nth__nth__transpose__sorted,axiom, % 209.33/209.60 ! [V_j_2,V_i_2,V_xs_2,T_b] : % 209.33/209.60 ( 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))) % 209.33/209.60 => ( 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)))) % 209.33/209.60 => ( 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)))) % 209.33/209.60 => 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) ) ) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_inj__on__rev,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_distinct__rev,axiom, % 209.33/209.60 ! [V_xs_2,T_b] : % 209.33/209.60 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orev(T_b),V_xs_2))) % 209.33/209.60 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_rev__append,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_rev__singleton__conv,axiom, % 209.33/209.60 ! [V_x_2,V_xs_2,T_b] : % 209.33/209.60 ( 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)) % 209.33/209.60 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_singleton__rev__conv,axiom, % 209.33/209.60 ! [V_xs_2,V_x_2,T_b] : % 209.33/209.60 ( 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) % 209.33/209.60 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_rev_Osimps_I1_J,axiom, % 209.33/209.60 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 209.33/209.60 % 209.33/209.60 fof(fact_Nil__is__rev__conv,axiom, % 209.33/209.60 ! [V_xs_2,T_b] : % 209.33/209.60 ( c_List_Olist_ONil(T_b) = hAPP(c_List_Orev(T_b),V_xs_2) % 209.33/209.60 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_rev__is__Nil__conv,axiom, % 209.33/209.60 ! [V_xs_2,T_b] : % 209.33/209.60 ( hAPP(c_List_Orev(T_b),V_xs_2) = c_List_Olist_ONil(T_b) % 209.33/209.60 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_rev__concat,axiom, % 209.33/209.60 ! [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))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_rev__map,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_rev__filter,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_zip__rev,axiom, % 209.33/209.60 ! [V_ys,T_b,V_xs,T_a] : % 209.33/209.60 ( 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) % 209.33/209.60 => 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)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_set__rev,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_list__all2__rev1,axiom, % 209.33/209.60 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 209.33/209.60 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2),V_ys_2) % 209.33/209.60 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,hAPP(c_List_Orev(T_c),V_ys_2)) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_list__all2__rev,axiom, % 209.33/209.60 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 209.33/209.60 ( 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)) % 209.33/209.60 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_rev__is__rev__conv,axiom, % 209.33/209.60 ! [V_ys_2,V_xs_2,T_b] : % 209.33/209.60 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Orev(T_b),V_ys_2) % 209.33/209.60 <=> V_xs_2 = V_ys_2 ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_rev__swap,axiom, % 209.33/209.60 ! [V_ys_2,V_xs_2,T_b] : % 209.33/209.60 ( hAPP(c_List_Orev(T_b),V_xs_2) = V_ys_2 % 209.33/209.60 <=> V_xs_2 = hAPP(c_List_Orev(T_b),V_ys_2) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_rev__rev__ident,axiom, % 209.33/209.60 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ). % 209.33/209.60 % 209.33/209.60 fof(fact_listsum__rev,axiom, % 209.33/209.60 ! [V_xs,T_a] : % 209.33/209.60 ( class_Groups_Ocomm__monoid__add(T_a) % 209.33/209.60 => 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) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_length__rev,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_foldl__foldr,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_foldr__foldl,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_rev_Osimps_I2_J,axiom, % 209.33/209.60 ! [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))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_rev__eq__Cons__iff,axiom, % 209.33/209.60 ! [V_ys_2,V_y_2,V_xs_2,T_b] : % 209.33/209.60 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2) % 209.33/209.60 <=> 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))) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_last__rev,axiom, % 209.33/209.60 ! [T_a,V_xs] : % 209.33/209.60 ( V_xs != c_List_Olist_ONil(T_a) % 209.33/209.60 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_hd__rev,axiom, % 209.33/209.60 ! [T_a,V_xs] : % 209.33/209.60 ( V_xs != c_List_Olist_ONil(T_a) % 209.33/209.60 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 209.33/209.60 % 209.33/209.60 fof(fact_sorted__transpose,axiom, % 209.33/209.60 ! [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)))) ). % 209.33/209.60 % 209.33/209.60 fof(fact_rev__foldl__cons,axiom, % 209.33/209.60 ! [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) ). % 209.33/209.60 % 209.33/209.60 fof(fact_rev__drop,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_rev__take,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_rotate__rev,axiom, % 209.33/209.60 ! [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)) ). % 209.33/209.60 % 209.33/209.60 fof(fact_rev__nth,axiom, % 209.33/209.60 ! [V_xs,T_a,V_n] : % 209.33/209.60 ( 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))) % 209.33/209.60 => 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))) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_rev__update,axiom, % 209.33/209.61 ! [V_y,V_xs,T_a,V_k] : % 209.33/209.61 ( 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))) % 209.33/209.61 => 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) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_sorted__rev__nth__mono,axiom, % 209.33/209.61 ! [V_j,V_i,V_xs,T_a] : % 209.33/209.61 ( class_Orderings_Olinorder(T_a) % 209.33/209.61 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs)) % 209.33/209.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 209.33/209.61 => ( 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))) % 209.33/209.61 => 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))) ) ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_foldr__max__sorted,axiom, % 209.33/209.61 ! [V_y_2,V_xs_2,T_b] : % 209.33/209.61 ( class_Orderings_Olinorder(T_b) % 209.33/209.61 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),V_xs_2)) % 209.33/209.61 => ( ( V_xs_2 = c_List_Olist_ONil(T_b) % 209.33/209.61 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = V_y_2 ) % 209.33/209.61 & ( V_xs_2 != c_List_Olist_ONil(T_b) % 209.33/209.61 => 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) ) ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_length__transpose__sorted,axiom, % 209.33/209.61 ! [V_xs_2,T_b] : % 209.33/209.61 ( 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))) % 209.33/209.61 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b)) % 209.33/209.61 => 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) ) % 209.33/209.61 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_b)) % 209.33/209.61 => 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))) ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_transpose__column__length,axiom, % 209.33/209.61 ! [V_i_2,V_xs_2,T_b] : % 209.33/209.61 ( 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))) % 209.33/209.61 => ( 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))) % 209.33/209.61 => 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)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_transpose__transpose,axiom, % 209.33/209.61 ! [V_xs_2,T_b] : % 209.33/209.61 ( 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))) % 209.33/209.61 => 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) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_transfer__nat__int__list__functions_I2_J,axiom, % 209.33/209.61 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_sorted__takeWhile,axiom, % 209.33/209.61 ! [V_Pa_2,V_xs_2,T_b] : % 209.33/209.61 ( class_Orderings_Olinorder(T_b) % 209.33/209.61 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 209.33/209.61 => c_List_Olinorder__class_Osorted(T_b,c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_length__takeWhile__le,axiom, % 209.33/209.61 ! [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))) ). % 209.33/209.61 % 209.33/209.61 fof(fact_set__takeWhileD,axiom, % 209.33/209.61 ! [V_xs_2,V_Pa_2,V_x_2,T_b] : % 209.33/209.61 ( 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)))) % 209.33/209.61 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.61 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_takeWhile__eq__all__conv,axiom, % 209.33/209.61 ! [V_xs_2,V_Pa_2,T_b] : % 209.33/209.61 ( c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = V_xs_2 % 209.33/209.61 <=> ! [B_x] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.61 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_zip__takeWhile__fst,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_zip__takeWhile__snd,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_takeWhile__map,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_takeWhile_Osimps_I1_J,axiom, % 209.33/209.61 ! [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) ). % 209.33/209.61 % 209.33/209.61 fof(fact_takeWhile_Osimps_I2_J,axiom, % 209.33/209.61 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 209.33/209.61 ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 209.33/209.61 => 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)) ) % 209.33/209.61 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 209.33/209.61 => 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) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_takeWhile__tail,axiom, % 209.33/209.61 ! [V_l_2,V_xs_2,T_b,V_x_2,V_Pa_2] : % 209.33/209.61 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 209.33/209.61 => 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) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_takeWhile__eq__take,axiom, % 209.33/209.61 ! [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) ). % 209.33/209.61 % 209.33/209.61 fof(fact_distinct__takeWhile,axiom, % 209.33/209.61 ! [V_Pa_2,V_xs_2,T_b] : % 209.33/209.61 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 209.33/209.61 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_return__list__def,axiom, % 209.33/209.61 ! [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) ). % 209.33/209.61 % 209.33/209.61 fof(fact_takeWhile__append1,axiom, % 209.33/209.61 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.61 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 209.33/209.61 => 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) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_nth__length__takeWhile,axiom, % 209.33/209.61 ! [V_xs_2,V_Pa_2,T_b] : % 209.33/209.61 ( 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))) % 209.33/209.61 => ~ 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))))) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_takeWhile__nth,axiom, % 209.33/209.61 ! [V_xs_2,V_Pa_2,T_b,V_j_2] : % 209.33/209.61 ( 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)))) % 209.33/209.61 => 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) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_takeWhile__not__last,axiom, % 209.33/209.61 ! [T_b,V_xs_2] : % 209.33/209.61 ( V_xs_2 != c_List_Olist_ONil(T_b) % 209.33/209.61 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 209.33/209.61 => 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) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_filter__equals__takeWhile__sorted__rev,axiom, % 209.33/209.61 ! [V_t_2,V_xs_2,V_f_2,T_c,T_b] : % 209.33/209.61 ( class_Orderings_Olinorder(T_b) % 209.33/209.61 => ( 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))) % 209.33/209.61 => 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) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_transfer__nat__int__list__return__embed,axiom, % 209.33/209.61 ! [V_l] : % 209.33/209.61 ( c_List_Onat__list(V_l) % 209.33/209.61 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_transfer__nat__int__list__functions_I1_J,axiom, % 209.33/209.61 ! [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))) ). % 209.33/209.61 % 209.33/209.61 fof(fact_embed__list__def,axiom, % 209.33/209.61 ! [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) ). % 209.33/209.61 % 209.33/209.61 fof(fact_takeWhile__neq__rev,axiom, % 209.33/209.61 ! [V_x_2,V_xs_2,T_b] : % 209.33/209.61 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 209.33/209.61 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.61 => 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))) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_dropWhile__neq__rev,axiom, % 209.33/209.61 ! [V_x_2,V_xs_2,T_b] : % 209.33/209.61 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 209.33/209.61 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.61 => 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))) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_takeWhile__dropWhile__id,axiom, % 209.33/209.61 ! [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 ). % 209.33/209.61 % 209.33/209.61 fof(fact_sorted__dropWhile,axiom, % 209.33/209.61 ! [V_Pa_2,V_xs_2,T_b] : % 209.33/209.61 ( class_Orderings_Olinorder(T_b) % 209.33/209.61 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 209.33/209.61 => c_List_Olinorder__class_Osorted(T_b,c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_length__dropWhile__le,axiom, % 209.33/209.61 ! [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))) ). % 209.33/209.61 % 209.33/209.61 fof(fact_hd__dropWhile,axiom, % 209.33/209.61 ! [V_xs_2,V_Pa_2,T_b] : % 209.33/209.61 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) != c_List_Olist_ONil(T_b) % 209.33/209.61 => ~ hBOOL(hAPP(V_Pa_2,hAPP(c_List_Ohd(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)))) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_dropWhile__eq__Nil__conv,axiom, % 209.33/209.61 ! [V_xs_2,V_Pa_2,T_b] : % 209.33/209.61 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = c_List_Olist_ONil(T_b) % 209.33/209.61 <=> ! [B_x] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.61 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_dropWhile_Osimps_I1_J,axiom, % 209.33/209.61 ! [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) ). % 209.33/209.61 % 209.33/209.61 fof(fact_dropWhile_Osimps_I2_J,axiom, % 209.33/209.61 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 209.33/209.61 ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 209.33/209.61 => 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) ) % 209.33/209.61 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 209.33/209.61 => 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) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_distinct__dropWhile,axiom, % 209.33/209.61 ! [V_Pa_2,V_xs_2,T_b] : % 209.33/209.61 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 209.33/209.61 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_dropWhile__map,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_dropWhile__append1,axiom, % 209.33/209.61 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.61 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 209.33/209.61 => 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) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_dropWhile__eq__Cons__conv,axiom, % 209.33/209.61 ! [V_ys_2,V_y_2,V_xs_2,V_Pa_2,T_b] : % 209.33/209.61 ( 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) % 209.33/209.61 <=> ( 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)) % 209.33/209.61 & ~ hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_dropWhile__eq__drop,axiom, % 209.33/209.61 ! [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) ). % 209.33/209.61 % 209.33/209.61 fof(fact_dropWhile__nth,axiom, % 209.33/209.61 ! [V_xs_2,V_Pa_2,T_b,V_j_2] : % 209.33/209.61 ( 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)))) % 209.33/209.61 => 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)))) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_listsum__map__filter,axiom, % 209.33/209.61 ! [V_f_2,V_Pa_2,V_xs_2,T_b,T_c] : % 209.33/209.61 ( class_Groups_Omonoid__add(T_c) % 209.33/209.61 => ( ! [B_x] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.61 => ( ~ hBOOL(hAPP(V_Pa_2,B_x)) % 209.33/209.61 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) % 209.33/209.61 => 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)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_sorted__nth__monoI,axiom, % 209.33/209.61 ! [V_xs,T_a] : % 209.33/209.61 ( class_Orderings_Olinorder(T_a) % 209.33/209.61 => ( ! [B_i,B_j] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j)) % 209.33/209.61 => ( 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))) % 209.33/209.61 => 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))) ) ) % 209.33/209.61 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_takeWhile__eq__filter,axiom, % 209.33/209.61 ! [V_xs_2,V_Pa_2,T_b] : % 209.33/209.61 ( ! [B_x] : % 209.33/209.61 ( 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)))) % 209.33/209.61 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) % 209.33/209.61 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_takeWhile__eq__take__P__nth,axiom, % 209.33/209.61 ! [V_Pa_2,V_xs_2,T_b,V_n_2] : % 209.33/209.61 ( ! [B_i] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) % 209.33/209.61 => ( 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))) % 209.33/209.61 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) % 209.33/209.61 => ( ( 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))) % 209.33/209.61 => ~ hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) ) % 209.33/209.61 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_length__takeWhile__less__P__nth,axiom, % 209.33/209.61 ! [V_xs_2,T_b,V_Pa_2,V_j_2] : % 209.33/209.61 ( ! [B_i] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2)) % 209.33/209.61 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) % 209.33/209.61 => ( 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))) % 209.33/209.61 => 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)))) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_sorted_Osimps,axiom, % 209.33/209.61 ! [V_a_2,T_b] : % 209.33/209.61 ( class_Orderings_Olinorder(T_b) % 209.33/209.61 => ( c_List_Olinorder__class_Osorted(T_b,V_a_2) % 209.33/209.61 <=> ( V_a_2 = c_List_Olist_ONil(T_b) % 209.33/209.61 | ? [B_xs,B_x] : % 209.33/209.61 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs) % 209.33/209.61 & ! [B_xa] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),B_xs))) % 209.33/209.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) % 209.33/209.61 & c_List_Olinorder__class_Osorted(T_b,B_xs) ) ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_not__in__set__insert,axiom, % 209.33/209.61 ! [V_xs_2,V_x_2,T_b] : % 209.33/209.61 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.61 => 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) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_List_Oinsert__def,axiom, % 209.33/209.61 ! [V_xs_2,V_x_2,T_b] : % 209.33/209.61 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.61 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) % 209.33/209.61 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.61 => 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) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_insert__remdups,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_distinct__insert,axiom, % 209.33/209.61 ! [V_x,V_xs,T_a] : % 209.33/209.61 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 209.33/209.61 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_in__set__insert,axiom, % 209.33/209.61 ! [V_xs_2,V_x_2,T_b] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.61 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_List_Oset__insert,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_insert__Nil,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_concat__map__maps,axiom, % 209.33/209.61 ! [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) ). % 209.33/209.61 % 209.33/209.61 fof(fact_maps__def,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_maps__simps_I2_J,axiom, % 209.33/209.61 ! [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) ). % 209.33/209.61 % 209.33/209.61 fof(fact_maps__simps_I1_J,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_distinct__concat,axiom, % 209.33/209.61 ! [V_xs_2,T_b] : % 209.33/209.61 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_b)),V_xs_2)) % 209.33/209.61 => ( ! [B_ys] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 209.33/209.61 => hBOOL(hAPP(c_List_Odistinct(T_b),B_ys)) ) % 209.33/209.61 => ( ! [B_ys] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 209.33/209.61 => ! [B_zs] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 209.33/209.61 => ( B_ys != B_zs % 209.33/209.61 => 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)) ) ) ) % 209.33/209.61 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Oconcat(T_b,V_xs_2))) ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_measures__lesseq,axiom, % 209.33/209.61 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] : % 209.33/209.61 ( 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))) % 209.33/209.61 => ( 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))) % 209.33/209.61 => 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)))) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_wf__measures,axiom, % 209.33/209.61 ! [V_fs_2,T_b] : c_Wellfounded_Owf(T_b,c_List_Omeasures(T_b,V_fs_2)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_in__measures_I1_J,axiom, % 209.33/209.61 ! [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))))) ). % 209.33/209.61 % 209.33/209.61 fof(fact_measures__def,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_in__measures_I2_J,axiom, % 209.33/209.61 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_b] : % 209.33/209.61 ( 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)))) % 209.33/209.61 <=> ( 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))) % 209.33/209.61 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 209.33/209.61 & 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))) ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_measures__less,axiom, % 209.33/209.61 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] : % 209.33/209.61 ( 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))) % 209.33/209.61 => 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)))) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_foldl__apply,axiom, % 209.33/209.61 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_c,T_d,V_xs_2,T_b] : % 209.33/209.61 ( ! [B_x] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.61 => 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)) ) % 209.33/209.61 => 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)) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_order__fun_I2_J,axiom, % 209.33/209.61 ! [V_g_2,V_f_2,T_b,T_c] : % 209.33/209.61 ( ( class_Orderings_Oorder(T_c) % 209.33/209.61 & class_Enum_Oenum(T_b) ) % 209.33/209.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 209.33/209.61 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 209.33/209.61 & 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)))) ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_enum__ex__prod__def,axiom, % 209.33/209.61 ! [V_Pa_2,T_b,T_c] : % 209.33/209.61 ( ( class_Enum_Oenum(T_c) % 209.33/209.61 & class_Enum_Oenum(T_b) ) % 209.33/209.61 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_b,T_c)),V_Pa_2)) % 209.33/209.61 <=> 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))))) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_exists__code,axiom, % 209.33/209.61 ! [V_Pa_2,T_b] : % 209.33/209.61 ( class_Enum_Oenum(T_b) % 209.33/209.61 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 209.33/209.61 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_enum__ex,axiom, % 209.33/209.61 ! [V_Pa_2,T_b] : % 209.33/209.61 ( class_Enum_Oenum(T_b) % 209.33/209.61 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2)) % 209.33/209.61 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_zip__obtain__same__length,axiom, % 209.33/209.61 ! [V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] : % 209.33/209.61 ( ( 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)) % 209.33/209.61 => 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)))) ) % 209.33/209.61 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_pos__not__random__dseq__def,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_dropWhile__append2,axiom, % 209.33/209.61 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] : % 209.33/209.61 ( ! [B_x] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.61 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 209.33/209.61 => 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) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_list__all2__all__nthI,axiom, % 209.33/209.61 ! [V_Pa_2,V_ba_2,T_c,V_a_2,T_b] : % 209.33/209.61 ( 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) % 209.33/209.61 => ( ! [B_n] : % 209.33/209.61 ( 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))) % 209.33/209.61 => 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))) ) % 209.33/209.61 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_ba_2) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_finite__sorted__distinct__unique,axiom, % 209.33/209.61 ! [V_A_2,T_b] : % 209.33/209.61 ( class_Orderings_Olinorder(T_b) % 209.33/209.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.61 => ? [B_x] : % 209.33/209.61 ( hAPP(c_List_Oset(T_b),B_x) = V_A_2 % 209.33/209.61 & c_List_Olinorder__class_Osorted(T_b,B_x) % 209.33/209.61 & hBOOL(hAPP(c_List_Odistinct(T_b),B_x)) % 209.33/209.61 & ! [B_y] : % 209.33/209.61 ( ( hAPP(c_List_Oset(T_b),B_y) = V_A_2 % 209.33/209.61 & c_List_Olinorder__class_Osorted(T_b,B_y) % 209.33/209.61 & hBOOL(hAPP(c_List_Odistinct(T_b),B_y)) ) % 209.33/209.61 => B_y = B_x ) ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_takeWhile__append2,axiom, % 209.33/209.61 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] : % 209.33/209.61 ( ! [B_x] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.61 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 209.33/209.61 => 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)) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_insort__is__Cons,axiom, % 209.33/209.61 ! [V_a_2,V_f_2,V_xs_2,T_b,T_c] : % 209.33/209.61 ( class_Orderings_Olinorder(T_c) % 209.33/209.61 => ( ! [B_x] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_a_2)),hAPP(V_f_2,B_x))) ) % 209.33/209.61 => 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) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_filter__eq__Cons__iff,axiom, % 209.33/209.61 ! [V_xs_2,V_x_2,V_ys_2,V_Pa_2,T_b] : % 209.33/209.61 ( 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) % 209.33/209.61 <=> ? [B_us,B_vs] : % 209.33/209.61 ( 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)) % 209.33/209.61 & ! [B_x] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us))) % 209.33/209.61 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) % 209.33/209.61 & hBOOL(hAPP(V_Pa_2,V_x_2)) % 209.33/209.61 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_Cons__eq__filter__iff,axiom, % 209.33/209.61 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] : % 209.33/209.61 ( 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) % 209.33/209.61 <=> ? [B_us,B_vs] : % 209.33/209.61 ( 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)) % 209.33/209.61 & ! [B_x] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us))) % 209.33/209.61 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) % 209.33/209.61 & hBOOL(hAPP(V_Pa_2,V_x_2)) % 209.33/209.61 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_order__fun_I1_J,axiom, % 209.33/209.61 ! [V_g_2,V_f_2,T_b,T_c] : % 209.33/209.61 ( ( class_Orderings_Oorder(T_c) % 209.33/209.61 & class_Enum_Oenum(T_b) ) % 209.33/209.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 209.33/209.61 <=> 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))) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_enum__all,axiom, % 209.33/209.61 ! [V_Pa_2,T_b] : % 209.33/209.61 ( class_Enum_Oenum(T_b) % 209.33/209.61 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2)) % 209.33/209.61 <=> ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_all__code,axiom, % 209.33/209.61 ! [V_Pa_2,T_b] : % 209.33/209.61 ( class_Enum_Oenum(T_b) % 209.33/209.61 => ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 209.33/209.61 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_enum__all__prod__def,axiom, % 209.33/209.61 ! [V_Pa_2,T_b,T_c] : % 209.33/209.61 ( ( class_Enum_Oenum(T_c) % 209.33/209.61 & class_Enum_Oenum(T_b) ) % 209.33/209.61 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(T_b,T_c)),V_Pa_2)) % 209.33/209.61 <=> 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))))) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_list__ball__nth,axiom, % 209.33/209.61 ! [V_Pa_2,V_xs_2,T_b,V_n_2] : % 209.33/209.61 ( 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))) % 209.33/209.61 => ( ! [B_x] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.61 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 209.33/209.61 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_sorted_OCons,axiom, % 209.33/209.61 ! [V_x_2,V_xs_2,T_b] : % 209.33/209.61 ( class_Orderings_Olinorder(T_b) % 209.33/209.61 => ( ! [B_x] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) % 209.33/209.61 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 209.33/209.61 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_list__ex__length,axiom, % 209.33/209.61 ! [V_xs_2,V_Pa_2,T_b] : % 209.33/209.61 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) % 209.33/209.61 <=> ? [B_n] : % 209.33/209.61 ( 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))) % 209.33/209.61 & hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_in__set__conv__decomp__first,axiom, % 209.33/209.61 ! [V_xs_2,V_x_2,T_b] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.61 <=> ? [B_ys] : % 209.33/209.61 ( ? [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)) % 209.33/209.61 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_ys))) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_list__ex__simps_I2_J,axiom, % 209.33/209.61 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_list__ex__append,axiom, % 209.33/209.61 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] : % 209.33/209.61 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) % 209.33/209.61 <=> ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) % 209.33/209.61 | c_List_Olist__ex(T_b,V_Pa_2,V_ys_2) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_list__ex__iff,axiom, % 209.33/209.61 ! [V_xs_2,V_Pa_2,T_b] : % 209.33/209.61 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) % 209.33/209.61 <=> ? [B_x] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.61 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_list__ex__rev,axiom, % 209.33/209.61 ! [V_xs_2,V_Pa_2,T_b] : % 209.33/209.61 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2)) % 209.33/209.61 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_list__ex__simps_I1_J,axiom, % 209.33/209.61 ! [V_xs_2,V_x_2,V_Pa_2,T_b] : % 209.33/209.61 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 209.33/209.61 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 209.33/209.61 | c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_in__set__conv__decomp,axiom, % 209.33/209.61 ! [V_xs_2,V_x_2,T_b] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.61 <=> ? [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)) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_in__set__conv__decomp__last,axiom, % 209.33/209.61 ! [V_xs_2,V_x_2,T_b] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.61 <=> ? [B_ys,B_zs] : % 209.33/209.61 ( 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)) % 209.33/209.61 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_zs))) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_list__all__length,axiom, % 209.33/209.61 ! [V_xs_2,V_Pa_2,T_b] : % 209.33/209.61 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2) % 209.33/209.61 <=> ! [B_n] : % 209.33/209.61 ( 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))) % 209.33/209.61 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_finite__induct,axiom, % 209.33/209.61 ! [V_Pa_2,V_F_2,T_b] : % 209.33/209.61 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 209.33/209.61 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 209.33/209.61 => ( ! [B_x,B_F] : % 209.33/209.61 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F)) % 209.33/209.61 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_F)) % 209.33/209.61 => ( hBOOL(hAPP(V_Pa_2,B_F)) % 209.33/209.61 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_F))) ) ) ) % 209.33/209.61 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_list__all__simps_I2_J,axiom, % 209.33/209.61 ! [V_Pa_2,T_b] : c_List_Olist__all(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_list__all__append,axiom, % 209.33/209.61 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] : % 209.33/209.61 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) % 209.33/209.61 <=> ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2) % 209.33/209.61 & c_List_Olist__all(T_b,V_Pa_2,V_ys_2) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_list__all__iff,axiom, % 209.33/209.61 ! [V_xs_2,V_Pa_2,T_b] : % 209.33/209.61 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2) % 209.33/209.61 <=> ! [B_x] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.61 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_list__all__rev,axiom, % 209.33/209.61 ! [V_xs_2,V_Pa_2,T_b] : % 209.33/209.61 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2)) % 209.33/209.61 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_list__all__simps_I1_J,axiom, % 209.33/209.61 ! [V_xs_2,V_x_2,V_Pa_2,T_b] : % 209.33/209.61 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 209.33/209.61 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 209.33/209.61 & c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_Ball__set__list__all,axiom, % 209.33/209.61 ! [V_Pa_2,V_xs_2,T_b] : % 209.33/209.61 ( ! [B_x] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.61 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 209.33/209.61 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_list__all__iff__raw,axiom, % 209.33/209.61 ! [V_xs_2,V_Pa_2,T_b] : % 209.33/209.61 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2) % 209.33/209.61 <=> ! [B_x] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.61 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_list__ex1__simps_I2_J,axiom, % 209.33/209.61 ! [V_xs_2,V_x_2,V_Pa_2,T_b] : % 209.33/209.61 ( c_List_Olist__ex1(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 209.33/209.61 <=> ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 209.33/209.61 => 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) ) % 209.33/209.61 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 209.33/209.61 => c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2) ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_measure__function__int,axiom, % 209.33/209.61 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))) ). % 209.33/209.61 % 209.33/209.61 fof(fact_measure__fst,axiom, % 209.33/209.61 ! [T_c,V_f_2,T_b] : % 209.33/209.61 ( c_FunDef_Ois__measure(T_b,V_f_2) % 209.33/209.61 => 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))) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_measure__snd,axiom, % 209.33/209.61 ! [T_c,V_f_2,T_b] : % 209.33/209.61 ( c_FunDef_Ois__measure(T_b,V_f_2) % 209.33/209.61 => 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))) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_is__measure_Osimps,axiom, % 209.33/209.61 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ). % 209.33/209.61 % 209.33/209.61 fof(fact_is__measure_Oequations,axiom, % 209.33/209.61 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ). % 209.33/209.61 % 209.33/209.61 fof(fact_is__measure_Ointros,axiom, % 209.33/209.61 ! [V_f_2,T_b] : c_FunDef_Ois__measure(T_b,V_f_2) ). % 209.33/209.61 % 209.33/209.61 fof(fact_measure__size,axiom, % 209.33/209.61 ! [T_b] : % 209.33/209.61 ( class_Nat_Osize(T_b) % 209.33/209.61 => c_FunDef_Ois__measure(T_b,c_Nat_Osize__class_Osize(T_b)) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_list__ex1__simps_I1_J,axiom, % 209.33/209.61 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex1(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_list__ex1__iff,axiom, % 209.33/209.61 ! [V_xs_2,V_Pa_2,T_b] : % 209.33/209.61 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2) % 209.33/209.61 <=> ? [B_x] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.61 & hBOOL(hAPP(V_Pa_2,B_x)) % 209.33/209.61 & ! [B_y] : % 209.33/209.61 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.61 & hBOOL(hAPP(V_Pa_2,B_y)) ) % 209.33/209.61 => B_y = B_x ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_transfer__morphism__int__nat,axiom, % 209.33/209.61 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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_New__DSequence_Opos__decr__bind__def,axiom, % 209.33/209.61 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] : % 209.33/209.61 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 209.33/209.61 => 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) ) % 209.33/209.61 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 209.33/209.61 => 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)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_bool_Osize_I3_J,axiom, % 209.33/209.61 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(fact_bool_Osize_I4_J,axiom, % 209.33/209.61 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_New__DSequence_Opos__empty__def,axiom, % 209.33/209.61 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ). % 209.33/209.61 % 209.33/209.61 fof(fact_pos__empty__def,axiom, % 209.33/209.61 ! [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) ). % 209.33/209.61 % 209.33/209.61 fof(fact_New__DSequence_Opos__bind__def,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_pos__bind__def,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom, % 209.33/209.61 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] : % 209.33/209.61 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 209.33/209.61 => 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) ) % 209.33/209.61 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 209.33/209.61 => 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)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_New__DSequence_Oneg__bind__def,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_neg__bind__def,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_pos__map__def,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_pos__single__def,axiom, % 209.33/209.61 ! [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) ). % 209.33/209.61 % 209.33/209.61 fof(fact_neg__map__def,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_New__DSequence_Opos__single__def,axiom, % 209.33/209.61 ! [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) ). % 209.33/209.61 % 209.33/209.61 fof(fact_neg__single__def,axiom, % 209.33/209.61 ! [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) ). % 209.33/209.61 % 209.33/209.61 fof(fact_New__DSequence_Oneg__single__def,axiom, % 209.33/209.61 ! [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) ). % 209.33/209.61 % 209.33/209.61 fof(fact_,axiom, % 209.33/209.61 ! [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)))) ). % 209.33/209.61 % 209.33/209.61 fof(fact_small__lazy__list_Osimps,axiom, % 209.33/209.61 ! [V_d_2,T_b] : % 209.33/209.61 ( class_Lazy__Sequence_Osmall__lazy(T_b) % 209.33/209.61 => 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)))) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_length__splice,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_small__lazy__prod__def,axiom, % 209.33/209.61 ! [V_d,T_b,T_a] : % 209.33/209.61 ( ( class_Lazy__Sequence_Osmall__lazy(T_a) % 209.33/209.61 & class_Lazy__Sequence_Osmall__lazy(T_b) ) % 209.33/209.61 => 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)) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_splice_Osimps_I3_J,axiom, % 209.33/209.61 ! [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))) ). % 209.33/209.61 % 209.33/209.61 fof(fact_splice__Nil2,axiom, % 209.33/209.61 ! [V_xs,T_a] : c_List_Osplice(T_a,V_xs,c_List_Olist_ONil(T_a)) = V_xs ). % 209.33/209.61 % 209.33/209.61 fof(fact_splice_Osimps_I1_J,axiom, % 209.33/209.61 ! [V_ys,T_a] : c_List_Osplice(T_a,c_List_Olist_ONil(T_a),V_ys) = V_ys ). % 209.33/209.61 % 209.33/209.61 fof(fact_splice_Osimps_I2_J,axiom, % 209.33/209.61 ! [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) ). % 209.33/209.61 % 209.33/209.61 fof(fact_New__DSequence_Opos__union__def,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_acyclicP__converse,axiom, % 209.33/209.61 ! [V_r_2,T_b] : % 209.33/209.61 ( 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)))) % 209.33/209.61 <=> 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))) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_conversep__eq,axiom, % 209.33/209.61 ! [T_b] : c_Predicate_Oconversep(T_b,T_b,c_fequal) = c_fequal ). % 209.33/209.61 % 209.33/209.61 fof(fact_conversep__conversep,axiom, % 209.33/209.61 ! [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 ). % 209.33/209.61 % 209.33/209.61 fof(fact_conversep__iff,axiom, % 209.33/209.61 ! [V_ba_2,V_a_2,V_r_2,T_c,T_b] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_ba_2)) % 209.33/209.61 <=> hBOOL(hAPP(hAPP(V_r_2,V_ba_2),V_a_2)) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_conversep_Oequations,axiom, % 209.33/209.61 ! [V_a1_2,V_a2_2,V_r_2,T_c,T_b] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a2_2),V_a1_2)) % 209.33/209.61 <=> hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_conversep_Ointros,axiom, % 209.33/209.61 ! [T_c,T_b,V_ba_2,V_a_2,V_r_2] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_ba_2)) % 209.33/209.61 => hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_ba_2),V_a_2)) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_conversepD,axiom, % 209.33/209.61 ! [V_ba_2,V_a_2,V_r_2,T_c,T_b] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_ba_2)) % 209.33/209.61 => hBOOL(hAPP(hAPP(V_r_2,V_ba_2),V_a_2)) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_conversep__noteq,axiom, % 209.33/209.61 ! [V_y_2,V_x_2,T_b] : % 209.33/209.61 ( 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)) % 209.33/209.61 <=> V_x_2 != V_y_2 ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_converse__join,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_converse__pred__comp,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_converse__meet,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_conversep__converse__eq,axiom, % 209.33/209.61 ! [V_y_2,V_x_2,V_r_2,T_c,T_b] : % 209.33/209.61 ( 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)) % 209.33/209.61 <=> 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))) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_pos__union__def,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_small__lazy_H_Osimps,axiom, % 209.33/209.61 ! [V_i,V_d] : % 209.33/209.61 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i)) % 209.33/209.61 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oempty(tc_Int_Oint) ) % 209.33/209.61 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i)) % 209.33/209.61 => 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)))) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_small__lazy__int__def,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_small__lazy_H_Opsimps,axiom, % 209.33/209.61 ! [V_i_2,V_d_2] : % 209.33/209.61 ( 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))) % 209.33/209.61 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2)) % 209.33/209.61 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oempty(tc_Int_Oint) ) % 209.33/209.61 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2)) % 209.33/209.61 => 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)))) ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_tl__replicate,axiom, % 209.33/209.61 ! [V_x,T_a,V_n] : % 209.33/209.61 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.33/209.61 => 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) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_map__replicate__const,axiom, % 209.33/209.61 ! [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) ). % 209.33/209.61 % 209.33/209.61 fof(fact_length__replicate,axiom, % 209.33/209.61 ! [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 ). % 209.33/209.61 % 209.33/209.61 fof(fact_replicate__length__filter,axiom, % 209.33/209.61 ! [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) ). % 209.33/209.61 % 209.33/209.61 fof(fact_map__replicate,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_replicate__0,axiom, % 209.33/209.61 ! [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) ). % 209.33/209.61 % 209.33/209.61 fof(fact_empty__replicate,axiom, % 209.33/209.61 ! [V_x_2,V_n_2,T_b] : % 209.33/209.61 ( c_List_Olist_ONil(T_b) = c_List_Oreplicate(T_b,V_n_2,V_x_2) % 209.33/209.61 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_replicate__empty,axiom, % 209.33/209.61 ! [V_x_2,V_n_2,T_b] : % 209.33/209.61 ( c_List_Oreplicate(T_b,V_n_2,V_x_2) = c_List_Olist_ONil(T_b) % 209.33/209.61 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_concat__replicate__trivial,axiom, % 209.33/209.61 ! [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) ). % 209.33/209.61 % 209.33/209.61 fof(fact_filter__replicate,axiom, % 209.33/209.61 ! [V_n_2,T_b,V_x_2,V_Pa_2] : % 209.33/209.61 ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 209.33/209.61 => 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) ) % 209.33/209.61 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 209.33/209.61 => 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) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_append__replicate__commute,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_replicate__add,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_nth__replicate,axiom, % 209.33/209.61 ! [V_x,T_a,V_n,V_i] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n)) % 209.33/209.61 => hAPP(hAPP(c_List_Onth(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_i) = V_x ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_replicate__eq__replicate,axiom, % 209.33/209.61 ! [V_y_2,V_n_2,V_x_2,V_m_2,T_b] : % 209.33/209.61 ( c_List_Oreplicate(T_b,V_m_2,V_x_2) = c_List_Oreplicate(T_b,V_n_2,V_y_2) % 209.33/209.61 <=> ( V_m_2 = V_n_2 % 209.33/209.61 & ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.33/209.61 => V_x_2 = V_y_2 ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_Bex__set__replicate,axiom, % 209.33/209.61 ! [V_Pa_2,V_a_2,V_n_2,T_b] : % 209.33/209.61 ( ? [B_x] : % 209.33/209.61 ( 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)))) % 209.33/209.61 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 209.33/209.61 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 209.33/209.61 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_Ball__set__replicate,axiom, % 209.33/209.61 ! [V_Pa_2,V_a_2,V_n_2,T_b] : % 209.33/209.61 ( ! [B_x] : % 209.33/209.61 ( 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)))) % 209.33/209.61 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 209.33/209.61 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 209.33/209.61 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_zip__replicate,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_last__replicate,axiom, % 209.33/209.61 ! [V_x,T_a,V_n] : % 209.33/209.61 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.33/209.61 => c_List_Olast(T_a,c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_drop__replicate,axiom, % 209.33/209.61 ! [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) ). % 209.33/209.61 % 209.33/209.61 fof(fact_hd__replicate,axiom, % 209.33/209.61 ! [V_x,T_a,V_n] : % 209.33/209.61 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.33/209.61 => hAPP(c_List_Ohd(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_take__replicate,axiom, % 209.33/209.61 ! [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) ). % 209.33/209.61 % 209.33/209.61 fof(fact_rev__replicate,axiom, % 209.33/209.61 ! [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) ). % 209.33/209.61 % 209.33/209.61 fof(fact_replicate__Suc,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_replicate__app__Cons__same,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_in__set__replicate,axiom, % 209.33/209.61 ! [V_y_2,V_n_2,V_x_2,T_b] : % 209.33/209.61 ( 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)))) % 209.33/209.61 <=> ( V_x_2 = V_y_2 % 209.33/209.61 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_replicate__append__same,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_map__replicate__trivial,axiom, % 209.33/209.61 ! [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) ). % 209.33/209.61 % 209.33/209.61 fof(fact_set__replicate__conv__if,axiom, % 209.33/209.61 ! [V_x_2,T_b,V_n_2] : % 209.33/209.61 ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.33/209.61 => 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)) ) % 209.33/209.61 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.33/209.61 => 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))) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_set__replicate,axiom, % 209.33/209.61 ! [V_x_2,T_b,V_n_2] : % 209.33/209.61 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 209.33/209.61 => 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))) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_set__replicate__Suc,axiom, % 209.33/209.61 ! [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))) ). % 209.33/209.61 % 209.33/209.61 fof(fact_small__lazy_H_Opinduct,axiom, % 209.33/209.61 ! [V_Pa_2,V_a1_2,V_a0_2] : % 209.33/209.61 ( 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))) % 209.33/209.61 => ( ! [B_d,B_i] : % 209.33/209.61 ( 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))) % 209.33/209.61 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i)) % 209.33/209.61 => 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)))) ) % 209.33/209.61 => hBOOL(hAPP(hAPP(V_Pa_2,B_d),B_i)) ) ) % 209.33/209.61 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_eq__comp__r,axiom, % 209.33/209.61 ! [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 ). % 209.33/209.61 % 209.33/209.61 fof(fact_field__le__epsilon,axiom, % 209.33/209.61 ! [V_y,V_x,T_a] : % 209.33/209.61 ( class_Fields_Olinordered__field(T_a) % 209.33/209.61 => ( ! [B_e] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_e)) % 209.33/209.61 => 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))) ) % 209.33/209.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_lazy__sequence_Osize_I4_J,axiom, % 209.33/209.61 ! [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))) ). % 209.33/209.61 % 209.33/209.61 fof(fact__01,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_lazy__sequence_Oinject,axiom, % 209.33/209.61 ! [V_lazy__sequence_H_2,V_a_H_2,V_lazy__sequence_2,V_a_2,T_b] : % 209.33/209.61 ( 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) % 209.33/209.61 <=> ( V_a_2 = V_a_H_2 % 209.33/209.61 & V_lazy__sequence_2 = V_lazy__sequence_H_2 ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_lazy__sequence_Osize_I2_J,axiom, % 209.33/209.61 ! [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))) ). % 209.33/209.61 % 209.33/209.61 fof(fact_size__code,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_lazy__sequence__size__code,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_seq__case,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_yieldn__def,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_lazy__sequence_Osimps_I5_J,axiom, % 209.33/209.61 ! [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) ). % 209.33/209.61 % 209.33/209.61 fof(fact_refl__on__INTER,axiom, % 209.33/209.61 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] : % 209.33/209.61 ( ! [B_x] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 209.33/209.61 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) ) % 209.33/209.61 => 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)) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_List_Omember__def,axiom, % 209.33/209.61 ! [V_x_2,V_xs_2,T_b] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) % 209.33/209.61 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_member__rec_I1_J,axiom, % 209.33/209.61 ! [V_y_2,V_xs_2,V_x_2,T_b] : % 209.33/209.61 ( 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)) % 209.33/209.61 <=> ( V_x_2 = V_y_2 % 209.33/209.61 | hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_y_2)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_member__set,axiom, % 209.33/209.61 ! [T_b] : c_List_Omember(T_b) = c_List_Oset(T_b) ). % 209.33/209.61 % 209.33/209.61 fof(fact_member__rec_I2_J,axiom, % 209.33/209.61 ! [V_y,T_a] : ~ hBOOL(hAPP(hAPP(c_List_Omember(T_a),c_List_Olist_ONil(T_a)),V_y)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_in__set__member,axiom, % 209.33/209.61 ! [V_xs_2,V_x_2,T_b] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.61 <=> hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_pair__box_Osize_I1_J,axiom, % 209.33/209.61 ! [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))) ). % 209.33/209.61 % 209.33/209.61 fof(fact_list__ex1__iff__raw,axiom, % 209.33/209.61 ! [V_xs_2,V_Pa_2,T_b] : % 209.33/209.61 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2) % 209.33/209.61 <=> ? [B_x] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.61 & hBOOL(hAPP(V_Pa_2,B_x)) % 209.33/209.61 & ! [B_y] : % 209.33/209.61 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.61 & hBOOL(hAPP(V_Pa_2,B_y)) ) % 209.33/209.61 => B_y = B_x ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_pair__box_Oinject,axiom, % 209.33/209.61 ! [V_b_H_2,V_a_H_2,V_ba_2,V_a_2,T_c,T_b] : % 209.33/209.61 ( 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) % 209.33/209.61 <=> ( V_a_2 = V_a_H_2 % 209.33/209.61 & V_ba_2 = V_b_H_2 ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_pair__box_Osize_I2_J,axiom, % 209.33/209.61 ! [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) ). % 209.33/209.61 % 209.33/209.61 fof(fact_pair__box_Orecs,axiom, % 209.33/209.61 ! [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) ). % 209.33/209.61 % 209.33/209.61 fof(fact_pair__box_Osimps_I2_J,axiom, % 209.33/209.61 ! [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) ). % 209.33/209.61 % 209.33/209.61 fof(fact_THE__default__def,axiom, % 209.33/209.61 ! [V_d_2,T_b,V_Pa_2] : % 209.33/209.61 ( ( ? [B_x] : % 209.33/209.61 ( hBOOL(hAPP(V_Pa_2,B_x)) % 209.33/209.61 & ! [B_y] : % 209.33/209.61 ( hBOOL(hAPP(V_Pa_2,B_y)) % 209.33/209.61 => B_y = B_x ) ) % 209.33/209.61 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) ) % 209.33/209.61 & ( ~ ? [B_x] : % 209.33/209.61 ( hBOOL(hAPP(V_Pa_2,B_x)) % 209.33/209.61 & ! [B_y] : % 209.33/209.61 ( hBOOL(hAPP(V_Pa_2,B_y)) % 209.33/209.61 => B_y = B_x ) ) % 209.33/209.61 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = V_d_2 ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_setsum__UNION__zero,axiom, % 209.33/209.61 ! [V_f_2,V_S_2,T_b,T_c] : % 209.33/209.61 ( class_Groups_Ocomm__monoid__add(T_c) % 209.33/209.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_S_2)) % 209.33/209.61 => ( ! [B_x] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_S_2)) % 209.33/209.61 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) ) % 209.33/209.61 => ( ! [B_T1] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T1),V_S_2)) % 209.33/209.61 => ! [B_T2] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T2),V_S_2)) % 209.33/209.61 => ( B_T1 != B_T2 % 209.33/209.61 => ! [B_x] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T1)) % 209.33/209.61 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T2)) % 209.33/209.61 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) % 209.33/209.61 => 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) ) ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_INF2__I,axiom, % 209.33/209.61 ! [T_d,T_c,V_ca_2,V_ba_2,V_B_2,V_A_2,T_b] : % 209.33/209.61 ( ! [B_x] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 209.33/209.61 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_ba_2),V_ca_2)) ) % 209.33/209.61 => 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)) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_finite__maxlen,axiom, % 209.33/209.61 ! [V_M_2,T_b] : % 209.33/209.61 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),V_M_2)) % 209.33/209.61 => ? [B_n] : % 209.33/209.61 ! [B_x] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),V_M_2)) % 209.33/209.61 => 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)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_lazy__sequence_Osize_I1_J,axiom, % 209.33/209.61 ! [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) ). % 209.33/209.61 % 209.33/209.61 fof(fact_lazy__sequence_Osize_I3_J,axiom, % 209.33/209.61 ! [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) ). % 209.33/209.61 % 209.33/209.61 fof(fact__02,axiom, % 209.33/209.61 ! [V_yq,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a),V_yq) = V_yq ). % 209.33/209.61 % 209.33/209.61 fof(fact_lazy__sequence_Osimps_I3_J,axiom, % 209.33/209.61 ! [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) ). % 209.33/209.61 % 209.33/209.61 fof(fact_lazy__sequence_Osimps_I2_J,axiom, % 209.33/209.61 ! [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) ). % 209.33/209.61 % 209.33/209.61 fof(fact_lazy__sequence_Osimps_I4_J,axiom, % 209.33/209.61 ! [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 ). % 209.33/209.61 % 209.33/209.61 fof(fact_list__all__iff__all__interval__int,axiom, % 209.33/209.61 ! [V_j_2,V_i_2,V_Pa_2] : % 209.33/209.61 ( c_List_Olist__all(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2)) % 209.33/209.61 <=> c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_list__ex__iff__not__all__inverval__int,axiom, % 209.33/209.61 ! [V_j_2,V_i_2,V_Pa_2] : % 209.33/209.61 ( c_List_Olist__ex(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2)) % 209.33/209.61 <=> ~ 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) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_all__interval__int__def,axiom, % 209.33/209.61 ! [V_j_2,V_i_2,V_Pa_2] : % 209.33/209.61 ( c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2) % 209.33/209.61 <=> ! [B_x] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2))) % 209.33/209.61 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_code__numeral_Orecs_I2_J,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_Random_Osimps,axiom, % 209.33/209.61 ! [V_size_2,V_g_2,T_b,V_nrandom_2] : % 209.33/209.61 ( ( 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))) % 209.33/209.61 => 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)) ) % 209.33/209.61 & ( ~ 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))) % 209.33/209.61 => 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))))))) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_code__numeral_Orecs_I1_J,axiom, % 209.33/209.61 ! [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 ). % 209.33/209.61 % 209.33/209.61 fof(fact_Random__Sequence_Oempty__def,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_Random__Sequence_Osingle__def,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_Random__Sequence_Omap__def,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_exE__realizer,axiom, % 209.33/209.61 ! [T_d,V_f_2,V_Q_2,V_p_2,T_b,T_c,V_Pa_2] : % 209.33/209.61 ( 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))) % 209.33/209.61 => ( ! [B_x,B_y] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(V_Pa_2,B_y),B_x)) % 209.33/209.61 => hBOOL(hAPP(V_Q_2,hAPP(hAPP(V_f_2,B_x),B_y))) ) % 209.33/209.61 => 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))) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_Image__Collect__split,axiom, % 209.33/209.61 ! [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)))) ). % 209.33/209.61 % 209.33/209.61 fof(fact_lexord__trans,axiom, % 209.33/209.61 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] : % 209.33/209.61 ( 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))) % 209.33/209.61 => ( 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))) % 209.33/209.61 => ( c_Relation_Otrans(T_b,V_r_2) % 209.33/209.61 => 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))) ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_trans__less__than,axiom, % 209.33/209.61 c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than) ). % 209.33/209.61 % 209.33/209.61 fof(fact_trans__lex__prod,axiom, % 209.33/209.61 ! [V_R2_2,T_c,V_R1_2,T_b] : % 209.33/209.61 ( c_Relation_Otrans(T_b,V_R1_2) % 209.33/209.61 => ( c_Relation_Otrans(T_c,V_R2_2) % 209.33/209.61 => c_Relation_Otrans(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_R1_2,V_R2_2)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_trans__def,axiom, % 209.33/209.61 ! [V_r_2,T_b] : % 209.33/209.61 ( c_Relation_Otrans(T_b,V_r_2) % 209.33/209.61 <=> ! [B_x,B_y] : % 209.33/209.61 ( 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)) % 209.33/209.61 => ! [B_z] : % 209.33/209.61 ( 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)) % 209.33/209.61 => 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)) ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_transD,axiom, % 209.33/209.61 ! [V_ca_2,V_ba_2,V_a_2,V_r_2,T_b] : % 209.33/209.61 ( c_Relation_Otrans(T_b,V_r_2) % 209.33/209.61 => ( 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)) % 209.33/209.61 => ( 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)) % 209.33/209.61 => 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)) ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_Union__eq,axiom, % 209.33/209.61 ! [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)))) ). % 209.33/209.61 % 209.33/209.61 fof(fact_trans__Int,axiom, % 209.33/209.61 ! [V_s_2,V_r_2,T_b] : % 209.33/209.61 ( c_Relation_Otrans(T_b,V_r_2) % 209.33/209.61 => ( c_Relation_Otrans(T_b,V_s_2) % 209.33/209.61 => 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)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_bex__UNIV,axiom, % 209.33/209.61 ! [V_Pa_2,T_b] : % 209.33/209.61 ( ? [B_x] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 209.33/209.61 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 209.33/209.61 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_finite__Collect__bex,axiom, % 209.33/209.61 ! [V_Q_2,T_c,V_A_2,T_b] : % 209.33/209.61 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.61 => ( 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))))) % 209.33/209.61 <=> ! [B_x] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 209.33/209.61 => 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)))) ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_listrel__trans,axiom, % 209.33/209.61 ! [V_r_2,T_b] : % 209.33/209.61 ( c_Relation_Otrans(T_b,V_r_2) % 209.33/209.61 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_bex__empty,axiom, % 209.33/209.61 ! [V_Pa_2,T_b] : % 209.33/209.61 ~ ? [B_x] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 209.33/209.61 & hBOOL(hAPP(V_Pa_2,B_x)) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_trans__converse,axiom, % 209.33/209.61 ! [V_r_2,T_b] : % 209.33/209.61 ( c_Relation_Otrans(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 209.33/209.61 <=> c_Relation_Otrans(T_b,V_r_2) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_lexord__transI,axiom, % 209.33/209.61 ! [V_r_2,T_b] : % 209.33/209.61 ( c_Relation_Otrans(T_b,V_r_2) % 209.33/209.61 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olexord(T_b,V_r_2)) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_trans__finite__psubset,axiom, % 209.33/209.61 ! [T_b] : c_Relation_Otrans(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_trancl__id,axiom, % 209.33/209.61 ! [V_r_2,T_b] : % 209.33/209.61 ( c_Relation_Otrans(T_b,V_r_2) % 209.33/209.61 => c_Transitive__Closure_Otrancl(T_b,V_r_2) = V_r_2 ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_trans__trancl,axiom, % 209.33/209.61 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_trans__Id,axiom, % 209.33/209.61 ! [T_b] : c_Relation_Otrans(T_b,c_Relation_OId(T_b)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_trans__Id__on,axiom, % 209.33/209.61 ! [V_A_2,T_b] : c_Relation_Otrans(T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_trans__rtrancl,axiom, % 209.33/209.61 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_trans__O__subset,axiom, % 209.33/209.61 ! [V_r_2,T_b] : % 209.33/209.61 ( c_Relation_Otrans(T_b,V_r_2) % 209.33/209.61 => 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)) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_SUPR__bool__eq,axiom, % 209.33/209.61 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_HOL_Obool) = c_Set_OBex(T_b) ). % 209.33/209.61 % 209.33/209.61 fof(fact_trans__reflclI,axiom, % 209.33/209.61 ! [V_r_2,T_b] : % 209.33/209.61 ( c_Relation_Otrans(T_b,V_r_2) % 209.33/209.61 => 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))) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_trans__inv__image,axiom, % 209.33/209.61 ! [V_f_2,T_c,V_r_2,T_b] : % 209.33/209.61 ( c_Relation_Otrans(T_b,V_r_2) % 209.33/209.61 => c_Relation_Otrans(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_UN__eq,axiom, % 209.33/209.61 ! [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))))) ). % 209.33/209.61 % 209.33/209.61 fof(fact_Bex__set__list__ex,axiom, % 209.33/209.61 ! [V_Pa_2,V_xs_2,T_b] : % 209.33/209.61 ( ? [B_x] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.61 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 209.33/209.61 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_list__ex__iff__raw,axiom, % 209.33/209.61 ! [V_xs_2,V_Pa_2,T_b] : % 209.33/209.61 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) % 209.33/209.61 <=> ? [B_x] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 209.33/209.61 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_INT__eq,axiom, % 209.33/209.61 ! [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))))) ). % 209.33/209.61 % 209.33/209.61 fof(fact_Sup__apply,axiom, % 209.33/209.61 ! [V_x_2,V_A_2,T_c,T_b] : % 209.33/209.61 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 209.33/209.61 => 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)))))) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_Sup__fun__def,axiom, % 209.33/209.61 ! [V_x_2,V_A_2,T_c,T_b] : % 209.33/209.61 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 209.33/209.61 => 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)))))) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_Inf__apply,axiom, % 209.33/209.61 ! [V_x_2,V_A_2,T_c,T_b] : % 209.33/209.61 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 209.33/209.61 => 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)))))) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_Inf__fun__def,axiom, % 209.33/209.61 ! [V_x_2,V_A_2,T_c,T_b] : % 209.33/209.61 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 209.33/209.61 => 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)))))) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_max__extp_Ointros,axiom, % 209.33/209.61 ! [V_R_2,V_Y_2,V_X_2,T_b] : % 209.33/209.61 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) % 209.33/209.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2)) % 209.33/209.61 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.33/209.61 => ( ! [B_x] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2)) % 209.33/209.61 => ? [B_xa] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2)) % 209.33/209.61 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) % 209.33/209.61 => c_Wellfounded_Omax__extp(T_b,V_R_2,V_X_2,V_Y_2) ) ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_transp__def,axiom, % 209.33/209.61 ! [V_r_2,T_b] : % 209.33/209.61 ( c_Predicate_Otransp(T_b,V_r_2) % 209.33/209.61 <=> 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))) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_transpE,axiom, % 209.33/209.61 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] : % 209.33/209.61 ( c_Predicate_Otransp(T_b,V_r_2) % 209.33/209.61 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2)) % 209.33/209.61 => ( hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_z_2)) % 209.33/209.61 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_z_2)) ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_equivp__reflp__symp__transp,axiom, % 209.33/209.61 ! [V_R_2,T_b] : % 209.33/209.61 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 209.33/209.61 <=> ( c_Predicate_Oreflp(T_b,V_R_2) % 209.33/209.61 & c_Predicate_Osymp(T_b,V_R_2) % 209.33/209.61 & c_Predicate_Otransp(T_b,V_R_2) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_equivpI,axiom, % 209.33/209.61 ! [V_R_2,T_b] : % 209.33/209.61 ( c_Predicate_Oreflp(T_b,V_R_2) % 209.33/209.61 => ( c_Predicate_Osymp(T_b,V_R_2) % 209.33/209.61 => ( c_Predicate_Otransp(T_b,V_R_2) % 209.33/209.61 => c_Equiv__Relations_Oequivp(T_b,V_R_2) ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_sympE,axiom, % 209.33/209.61 ! [V_y_2,V_x_2,V_r_2,T_b] : % 209.33/209.61 ( c_Predicate_Osymp(T_b,V_r_2) % 209.33/209.61 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2)) % 209.33/209.61 => hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_x_2)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_equivpE,axiom, % 209.33/209.61 ! [V_R_2,T_b] : % 209.33/209.61 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 209.33/209.61 => ~ ( c_Predicate_Oreflp(T_b,V_R_2) % 209.33/209.61 => ( c_Predicate_Osymp(T_b,V_R_2) % 209.33/209.61 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_max__extp_Osimps,axiom, % 209.33/209.61 ! [V_a2_2,V_a1_2,V_R_2,T_b] : % 209.33/209.61 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2) % 209.33/209.61 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2)) % 209.33/209.61 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2)) % 209.33/209.61 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.33/209.61 & ! [B_x] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2)) % 209.33/209.61 => ? [B_xa] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2)) % 209.33/209.61 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_trans__diff__Id,axiom, % 209.33/209.61 ! [V_r_2,T_b] : % 209.33/209.61 ( c_Relation_Otrans(T_b,V_r_2) % 209.33/209.61 => ( c_Relation_Oantisym(T_b,V_r_2) % 209.33/209.61 => 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))) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_antisym__subset,axiom, % 209.33/209.61 ! [V_s_2,V_r_2,T_b] : % 209.33/209.61 ( 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)) % 209.33/209.61 => ( c_Relation_Oantisym(T_b,V_s_2) % 209.33/209.61 => c_Relation_Oantisym(T_b,V_r_2) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_antisym__Id,axiom, % 209.33/209.61 ! [T_b] : c_Relation_Oantisym(T_b,c_Relation_OId(T_b)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_antisym__Id__on,axiom, % 209.33/209.61 ! [V_A_2,T_b] : c_Relation_Oantisym(T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_antisym__converse,axiom, % 209.33/209.61 ! [V_r_2,T_b] : % 209.33/209.61 ( c_Relation_Oantisym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 209.33/209.61 <=> c_Relation_Oantisym(T_b,V_r_2) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_antisym__empty,axiom, % 209.33/209.61 ! [T_b] : c_Relation_Oantisym(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ). % 209.33/209.61 % 209.33/209.61 fof(fact_antisym__def,axiom, % 209.33/209.61 ! [V_r_2,T_b] : % 209.33/209.61 ( c_Relation_Oantisym(T_b,V_r_2) % 209.33/209.61 <=> ! [B_x,B_y] : % 209.33/209.61 ( 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)) % 209.33/209.61 => ( 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)) % 209.33/209.61 => B_x = B_y ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_antisymD,axiom, % 209.33/209.61 ! [V_ba_2,V_a_2,V_r_2,T_b] : % 209.33/209.61 ( c_Relation_Oantisym(T_b,V_r_2) % 209.33/209.61 => ( 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)) % 209.33/209.61 => ( 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)) % 209.33/209.61 => V_a_2 = V_ba_2 ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_antisym__reflcl,axiom, % 209.33/209.61 ! [V_r_2,T_b] : % 209.33/209.61 ( 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))) % 209.33/209.61 <=> c_Relation_Oantisym(T_b,V_r_2) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_acyclic__impl__antisym__rtrancl,axiom, % 209.33/209.61 ! [V_r_2,T_b] : % 209.33/209.61 ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 209.33/209.61 => c_Relation_Oantisym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_fun__lub__def,axiom, % 209.33/209.61 ! [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)))))) ). % 209.33/209.61 % 209.33/209.61 fof(fact_sym__trans__comp__subset,axiom, % 209.33/209.61 ! [V_r_2,T_b] : % 209.33/209.61 ( c_Relation_Osym(T_b,V_r_2) % 209.33/209.61 => ( c_Relation_Otrans(T_b,V_r_2) % 209.33/209.61 => 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)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_sym__def,axiom, % 209.33/209.61 ! [V_r_2,T_b] : % 209.33/209.61 ( c_Relation_Osym(T_b,V_r_2) % 209.33/209.61 <=> ! [B_x,B_y] : % 209.33/209.61 ( 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)) % 209.33/209.61 => 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)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_symD,axiom, % 209.33/209.61 ! [V_ba_2,V_a_2,V_r_2,T_b] : % 209.33/209.61 ( c_Relation_Osym(T_b,V_r_2) % 209.33/209.61 => ( 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)) % 209.33/209.61 => 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)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_sym__Int,axiom, % 209.33/209.61 ! [V_s_2,V_r_2,T_b] : % 209.33/209.61 ( c_Relation_Osym(T_b,V_r_2) % 209.33/209.61 => ( c_Relation_Osym(T_b,V_s_2) % 209.33/209.61 => 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)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_listrel__sym,axiom, % 209.33/209.61 ! [V_r_2,T_b] : % 209.33/209.61 ( c_Relation_Osym(T_b,V_r_2) % 209.33/209.61 => c_Relation_Osym(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_sym__converse,axiom, % 209.33/209.61 ! [V_r_2,T_b] : % 209.33/209.61 ( c_Relation_Osym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 209.33/209.61 <=> c_Relation_Osym(T_b,V_r_2) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_sym__conv__converse__eq,axiom, % 209.33/209.61 ! [V_r_2,T_b] : % 209.33/209.61 ( c_Relation_Osym(T_b,V_r_2) % 209.33/209.61 <=> hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2) = V_r_2 ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_sym__trancl,axiom, % 209.33/209.61 ! [V_r_2,T_b] : % 209.33/209.61 ( c_Relation_Osym(T_b,V_r_2) % 209.33/209.61 => c_Relation_Osym(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_sym__Un,axiom, % 209.33/209.61 ! [V_s_2,V_r_2,T_b] : % 209.33/209.61 ( c_Relation_Osym(T_b,V_r_2) % 209.33/209.61 => ( c_Relation_Osym(T_b,V_s_2) % 209.33/209.61 => 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)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_sym__Id,axiom, % 209.33/209.61 ! [T_b] : c_Relation_Osym(T_b,c_Relation_OId(T_b)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_sym__Id__on,axiom, % 209.33/209.61 ! [V_A_2,T_b] : c_Relation_Osym(T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_sym__rtrancl,axiom, % 209.33/209.61 ! [V_r_2,T_b] : % 209.33/209.61 ( c_Relation_Osym(T_b,V_r_2) % 209.33/209.61 => c_Relation_Osym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_sym__Un__converse,axiom, % 209.33/209.61 ! [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))) ). % 209.33/209.61 % 209.33/209.61 fof(fact_sym__Int__converse,axiom, % 209.33/209.61 ! [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))) ). % 209.33/209.61 % 209.33/209.61 fof(fact_sym__inv__image,axiom, % 209.33/209.61 ! [V_f_2,T_c,V_r_2,T_b] : % 209.33/209.61 ( c_Relation_Osym(T_b,V_r_2) % 209.33/209.61 => c_Relation_Osym(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_equivE,axiom, % 209.33/209.61 ! [V_r_2,V_A_2,T_b] : % 209.33/209.61 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 209.33/209.61 => ~ ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 209.33/209.61 => ( c_Relation_Osym(T_b,V_r_2) % 209.33/209.61 => ~ c_Relation_Otrans(T_b,V_r_2) ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_equivI,axiom, % 209.33/209.61 ! [V_r_2,V_A_2,T_b] : % 209.33/209.61 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 209.33/209.61 => ( c_Relation_Osym(T_b,V_r_2) % 209.33/209.61 => ( c_Relation_Otrans(T_b,V_r_2) % 209.33/209.61 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_equiv__def,axiom, % 209.33/209.61 ! [V_r_2,V_A_2,T_b] : % 209.33/209.61 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 209.33/209.61 <=> ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 209.33/209.61 & c_Relation_Osym(T_b,V_r_2) % 209.33/209.61 & c_Relation_Otrans(T_b,V_r_2) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_symp__def,axiom, % 209.33/209.61 ! [V_r_2,T_b] : % 209.33/209.61 ( c_Predicate_Osymp(T_b,V_r_2) % 209.33/209.61 <=> 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))) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_part__equivp__refl__symp__transp,axiom, % 209.33/209.61 ! [V_R_2,T_b] : % 209.33/209.61 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 209.33/209.61 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 209.33/209.61 & c_Predicate_Osymp(T_b,V_R_2) % 209.33/209.61 & c_Predicate_Otransp(T_b,V_R_2) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_part__equivpI,axiom, % 209.33/209.61 ! [T_b,V_R_2] : % 209.33/209.61 ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 209.33/209.61 => ( c_Predicate_Osymp(T_b,V_R_2) % 209.33/209.61 => ( c_Predicate_Otransp(T_b,V_R_2) % 209.33/209.61 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_part__equivp__def,axiom, % 209.33/209.61 ! [V_R_2,T_b] : % 209.33/209.61 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 209.33/209.61 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 209.33/209.61 & ! [B_x,B_y] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y)) % 209.33/209.61 <=> ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 209.33/209.61 & hBOOL(hAPP(hAPP(V_R_2,B_y),B_y)) % 209.33/209.61 & hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_part__equivp__symp,axiom, % 209.33/209.61 ! [V_y_2,V_x_2,V_R_2,T_b] : % 209.33/209.61 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 209.33/209.61 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 209.33/209.61 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_part__equivp__transp,axiom, % 209.33/209.61 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] : % 209.33/209.61 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 209.33/209.61 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 209.33/209.61 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2)) % 209.33/209.61 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_equivp__implies__part__equivp,axiom, % 209.33/209.61 ! [V_R_2,T_b] : % 209.33/209.61 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 209.33/209.61 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_part__equivpE,axiom, % 209.33/209.61 ! [V_R_2,T_b] : % 209.33/209.61 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 209.33/209.61 => ~ ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 209.33/209.61 => ( c_Predicate_Osymp(T_b,V_R_2) % 209.33/209.61 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_part__equivp__typedef,axiom, % 209.33/209.61 ! [V_R_2,T_b] : % 209.33/209.61 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 209.33/209.61 => ? [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))))) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_fold__image__UN__disjoint,axiom, % 209.33/209.61 ! [V_g_2,V_A_2,T_c,V_I_2,T_b,T_d] : % 209.33/209.61 ( class_Groups_Ocomm__monoid__mult(T_d) % 209.33/209.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_I_2)) % 209.33/209.61 => ( ! [B_x] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2)) % 209.33/209.61 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) ) % 209.33/209.61 => ( ! [B_x] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2)) % 209.33/209.61 => ! [B_xa] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_I_2)) % 209.33/209.61 => ( B_x != B_xa % 209.33/209.61 => 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)) ) ) ) % 209.33/209.61 => 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) ) ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_nat__of__cases,axiom, % 209.33/209.61 ! [V_y_2] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 209.33/209.61 => ~ ! [B_x] : V_y_2 != hAPP(c_Code__Numeral_Onat__of,B_x) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_nat__of__induct,axiom, % 209.33/209.61 ! [V_Pa_2,V_y_2] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 209.33/209.61 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Onat__of,B_x))) % 209.33/209.61 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_of__nat__cases,axiom, % 209.33/209.61 ! [V_x_2] : % 209.33/209.61 ~ ! [B_y] : % 209.33/209.61 ( V_x_2 = hAPP(c_Code__Numeral_Oof__nat,B_y) % 209.33/209.61 => ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_of__nat__induct,axiom, % 209.33/209.61 ! [V_x_2,V_Pa_2] : % 209.33/209.61 ( ! [B_y] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 209.33/209.61 => hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Oof__nat,B_y))) ) % 209.33/209.61 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_lazy__sequence_Orecs_I1_J,axiom, % 209.33/209.61 ! [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 ). % 209.33/209.61 % 209.33/209.61 fof(fact_lazy__sequence_Orecs_I2_J,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_beyond__def,axiom, % 209.33/209.61 ! [V_l,V_k] : % 209.33/209.61 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 209.33/209.61 => c_Quickcheck_Obeyond(V_k,V_l) = V_l ) % 209.33/209.61 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 209.33/209.61 => c_Quickcheck_Obeyond(V_k,V_l) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_curry__def,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_curryI,axiom, % 209.33/209.61 ! [V_ba_2,V_a_2,T_c,T_b,V_f_2] : % 209.33/209.61 ( hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2))) % 209.33/209.61 => hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_ba_2)) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_curryE,axiom, % 209.33/209.61 ! [V_ba_2,V_a_2,V_f_2,T_c,T_b] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_ba_2)) % 209.33/209.61 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2))) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_curryD,axiom, % 209.33/209.61 ! [V_ba_2,V_a_2,V_f_2,T_c,T_b] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_ba_2)) % 209.33/209.61 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_ba_2))) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_curry__conv,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_split__curry,axiom, % 209.33/209.61 ! [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 ). % 209.33/209.61 % 209.33/209.61 fof(fact_curry__split,axiom, % 209.33/209.61 ! [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 ). % 209.33/209.61 % 209.33/209.61 fof(fact_beyond__zero,axiom, % 209.33/209.61 ! [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) ). % 209.33/209.61 % 209.33/209.61 fof(fact_refl__on__UNION,axiom, % 209.33/209.61 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] : % 209.33/209.61 ( ! [B_x] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 209.33/209.61 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) ) % 209.33/209.61 => 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)) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_bex__reg__eqv,axiom, % 209.33/209.61 ! [V_Pa_2,V_R_2,T_b] : % 209.33/209.61 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 209.33/209.61 => ( ? [B_x] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 209.33/209.61 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 209.33/209.61 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_Respects__def,axiom, % 209.33/209.61 ! [V_x_2,V_R_2,T_b] : % 209.33/209.61 ( hBOOL(hAPP(c_Quotient_ORespects(T_b,V_R_2),V_x_2)) % 209.33/209.61 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_in__respects,axiom, % 209.33/209.61 ! [V_R_2,V_x_2,T_b] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Quotient_ORespects(T_b,V_R_2))) % 209.33/209.61 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_bex__reg__right,axiom, % 209.33/209.61 ! [V_Pa_2,V_Q_2,V_R_2,T_b] : % 209.33/209.61 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 209.33/209.61 => ( ! [B_x] : % 209.33/209.61 ( hBOOL(hAPP(V_Q_2,B_x)) % 209.33/209.61 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 209.33/209.61 => ( ? [B_x1] : hBOOL(hAPP(V_Q_2,B_x1)) % 209.33/209.61 => ? [B_x] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 209.33/209.61 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_babs__reg__eqv,axiom, % 209.33/209.61 ! [V_Pa_2,T_c,V_R_2,T_b] : % 209.33/209.61 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 209.33/209.61 => c_Quotient_OBabs(T_b,T_c,c_Quotient_ORespects(T_b,V_R_2),V_Pa_2) = V_Pa_2 ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_Babs__def,axiom, % 209.33/209.61 ! [V_m_2,T_c,V_p_2,V_x_2,T_b] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_p_2)) % 209.33/209.61 => hAPP(c_Quotient_OBabs(T_b,T_c,V_p_2,V_m_2),V_x_2) = hAPP(V_m_2,V_x_2) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_wf__weak__decr__stable,axiom, % 209.33/209.61 ! [V_r_2,V_f_2,T_b] : % 209.33/209.61 ( ! [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))) % 209.33/209.61 => ( c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) % 209.33/209.61 => ? [B_i] : % 209.33/209.61 ! [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) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_INT__anti__mono,axiom, % 209.33/209.61 ! [V_g_2,V_f_2,T_c,V_A_2,V_B_2,T_b] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 209.33/209.61 => ( ! [B_x] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 209.33/209.61 => 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))) ) % 209.33/209.61 => 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))) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_INT__greatest,axiom, % 209.33/209.61 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : % 209.33/209.61 ( ! [B_x] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 209.33/209.61 => 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))) ) % 209.33/209.61 => 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))) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_hoare__derivs_OLocal,axiom, % 209.33/209.61 ! [V_a_2,V_s_H_2,V_X_2,V_Q_2,V_ca_2,V_Pa_2,V_Ga_2,T_b] : % 209.33/209.61 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_Pa_2,V_ca_2,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_Q_2)),hAPP(hAPP(c_COMBC(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),c_Com_Ovname_OLoc(V_X_2))),c_Natural_Ogetlocs(V_s_H_2,V_X_2))))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) % 209.33/209.61 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj),hAPP(c_fequal,V_s_H_2)))),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),c_Com_Ovname_OLoc(V_X_2))),V_a_2))),c_Com_Ocom_OLocal(V_X_2,V_a_2,V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_vname_Osimps_I2_J,axiom, % 209.33/209.61 ! [V_loc_H_2,V_loc_2] : % 209.33/209.61 ( c_Com_Ovname_OLoc(V_loc_2) = c_Com_Ovname_OLoc(V_loc_H_2) % 209.33/209.61 <=> V_loc_2 = V_loc_H_2 ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_vname_Osize_I4_J,axiom, % 209.33/209.61 ! [V_loc] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ovname),c_Com_Ovname_OLoc(V_loc)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(fact_vname_Osize_I2_J,axiom, % 209.33/209.61 ! [V_loc] : c_Com_Ovname_Ovname__size(c_Com_Ovname_OLoc(V_loc)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(fact_vname_Osimps_I6_J,axiom, % 209.33/209.61 ! [V_loc_2,V_f2_2,V_f1_2,T_b] : c_Com_Ovname_Ovname__case(T_b,V_f1_2,V_f2_2,c_Com_Ovname_OLoc(V_loc_2)) = hAPP(V_f2_2,V_loc_2) ). % 209.33/209.61 % 209.33/209.61 fof(fact_vname_Osize_I3_J,axiom, % 209.33/209.61 ! [V_glb] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ovname),c_Com_Ovname_OGlb(V_glb)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(fact_vname_Osize_I1_J,axiom, % 209.33/209.61 ! [V_glb] : c_Com_Ovname_Ovname__size(c_Com_Ovname_OGlb(V_glb)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(fact_vname_Osimps_I1_J,axiom, % 209.33/209.61 ! [V_glb_H_2,V_glb_2] : % 209.33/209.61 ( c_Com_Ovname_OGlb(V_glb_2) = c_Com_Ovname_OGlb(V_glb_H_2) % 209.33/209.61 <=> V_glb_2 = V_glb_H_2 ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_vname_Osimps_I3_J,axiom, % 209.33/209.61 ! [V_loc_H,V_glb] : c_Com_Ovname_OGlb(V_glb) != c_Com_Ovname_OLoc(V_loc_H) ). % 209.33/209.61 % 209.33/209.61 fof(fact_vname_Osimps_I4_J,axiom, % 209.33/209.61 ! [V_glb,V_loc_H] : c_Com_Ovname_OLoc(V_loc_H) != c_Com_Ovname_OGlb(V_glb) ). % 209.33/209.61 % 209.33/209.61 fof(fact_vname_Osimps_I5_J,axiom, % 209.33/209.61 ! [V_glb_2,V_f2_2,V_f1_2,T_b] : c_Com_Ovname_Ovname__case(T_b,V_f1_2,V_f2_2,c_Com_Ovname_OGlb(V_glb_2)) = hAPP(V_f1_2,V_glb_2) ). % 209.33/209.61 % 209.33/209.61 fof(fact_vname_Orecs_I1_J,axiom, % 209.33/209.61 ! [V_glb_2,V_f2_2,V_f1_2,T_b] : c_Com_Ovname_Ovname__rec(T_b,V_f1_2,V_f2_2,c_Com_Ovname_OGlb(V_glb_2)) = hAPP(V_f1_2,V_glb_2) ). % 209.33/209.61 % 209.33/209.61 fof(fact_vname_Orecs_I2_J,axiom, % 209.33/209.61 ! [V_loc_2,V_f2_2,V_f1_2,T_b] : c_Com_Ovname_Ovname__rec(T_b,V_f1_2,V_f2_2,c_Com_Ovname_OLoc(V_loc_2)) = hAPP(V_f2_2,V_loc_2) ). % 209.33/209.61 % 209.33/209.61 fof(fact_rtrancl__induct2,axiom, % 209.33/209.61 ! [V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] : % 209.33/209.61 ( 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))) % 209.33/209.61 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2)) % 209.33/209.61 => ( ! [B_a,B_b] : % 209.33/209.61 ( 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))) % 209.33/209.61 => ! [B_aa,B_ba] : % 209.33/209.61 ( 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)) % 209.33/209.61 => ( hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) % 209.33/209.61 => hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba)) ) ) ) % 209.33/209.61 => hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2)) ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_converse__rtrancl__induct2,axiom, % 209.33/209.61 ! [V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] : % 209.33/209.61 ( 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))) % 209.33/209.61 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2)) % 209.33/209.61 => ( ! [B_a,B_b,B_aa,B_ba] : % 209.33/209.61 ( 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)) % 209.33/209.61 => ( 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))) % 209.33/209.61 => ( hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba)) % 209.33/209.61 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) ) % 209.33/209.61 => hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2)) ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_converse__rtranclE2,axiom, % 209.33/209.61 ! [V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_c,T_b] : % 209.33/209.61 ( 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))) % 209.33/209.61 => ( 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) % 209.33/209.61 => ~ ! [B_a,B_b] : % 209.33/209.61 ( 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)) % 209.33/209.61 => ~ 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))) ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact__03,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact__04,axiom, % 209.33/209.61 ! [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) ). % 209.33/209.61 % 209.33/209.61 fof(fact__05,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_list__all__iff__all__interval__nat,axiom, % 209.33/209.61 ! [V_j_2,V_i_2,V_Pa_2] : % 209.33/209.61 ( c_List_Olist__all(tc_Nat_Onat,V_Pa_2,c_List_Oupt(V_i_2,V_j_2)) % 209.33/209.61 <=> c_List_Oall__interval__nat(V_Pa_2,V_i_2,V_j_2) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact__06,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact__07,axiom, % 209.33/209.61 ! [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) ). % 209.33/209.61 % 209.33/209.61 fof(fact_all__interval__nat__def,axiom, % 209.33/209.61 ! [V_j_2,V_i_2,V_Pa_2] : % 209.33/209.61 ( c_List_Oall__interval__nat(V_Pa_2,V_i_2,V_j_2) % 209.33/209.61 <=> ! [B_x] : % 209.33/209.61 ( 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))) % 209.33/209.61 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_list__ex__iff__not__all__inverval__nat,axiom, % 209.33/209.61 ! [V_j_2,V_i_2,V_Pa_2] : % 209.33/209.61 ( c_List_Olist__ex(tc_Nat_Onat,V_Pa_2,c_List_Oupt(V_i_2,V_j_2)) % 209.33/209.61 <=> ~ 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) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_New__DSequence_Opos__map__def,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_folding__image_Ocong,axiom, % 209.33/209.61 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 209.33/209.61 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 209.33/209.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 209.33/209.61 => ( ! [B_x] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 209.33/209.61 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) ) % 209.33/209.61 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(V_F_2,V_h_2),V_A_2) ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_power__dvd__imp__le,axiom, % 209.33/209.61 ! [V_n,V_m,V_i] : % 209.33/209.61 ( 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))) % 209.33/209.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_i)) % 209.33/209.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_finite__nonempty__imp__fold1Set,axiom, % 209.33/209.61 ! [V_f_2,V_A_2,T_b] : % 209.33/209.61 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 209.33/209.61 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 209.33/209.61 => ? [B_x1] : hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),B_x1)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_dvd_Oorder__refl,axiom, % 209.33/209.61 ! [V_x] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_x)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_dvd__0__right,axiom, % 209.33/209.61 ! [V_a,T_a] : % 209.33/209.61 ( class_Rings_Ocomm__semiring__1(T_a) % 209.33/209.61 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_dvd__1__left,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(fact_setprod__dvd__setprod__subset,axiom, % 209.33/209.61 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] : % 209.33/209.61 ( ( class_Groups_Ocomm__monoid__mult(T_c) % 209.33/209.61 & class_Rings_Odvd(T_c) ) % 209.33/209.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 209.33/209.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 209.33/209.61 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(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))) ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_dvd_OatLeastAtMost__singleton__iff,axiom, % 209.33/209.61 ! [V_ca_2,V_ba_2,V_a_2] : % 209.33/209.61 ( 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))) % 209.33/209.61 <=> ( V_a_2 = V_ba_2 % 209.33/209.61 & V_ba_2 = V_ca_2 ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_dvd_OatLeastAtMost__singleton,axiom, % 209.33/209.61 ! [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))) ). % 209.33/209.61 % 209.33/209.61 fof(fact_dvd_OatLeastAtMost__singleton_H,axiom, % 209.33/209.61 ! [V_ba_2,V_a_2] : % 209.33/209.61 ( V_a_2 = V_ba_2 % 209.33/209.61 => 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))) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_dvd_OatLeastLessThan__empty__iff2,axiom, % 209.33/209.61 ! [V_ba_2,V_a_2] : % 209.33/209.61 ( 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) % 209.33/209.61 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_ba_2)) % 209.33/209.61 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_ba_2),V_a_2)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_dvd_OatLeastLessThan__empty__iff,axiom, % 209.33/209.61 ! [V_ba_2,V_a_2] : % 209.33/209.61 ( 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) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) % 209.33/209.61 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_ba_2)) % 209.33/209.61 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_ba_2),V_a_2)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_dvd_OgreaterThanLessThan__empty,axiom, % 209.33/209.61 ! [V_k_2,V_l_2] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) % 209.33/209.61 => c_SetInterval_Oord_OgreaterThanLessThan(tc_Nat_Onat,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_dvd_OatLeastLessThan__empty,axiom, % 209.33/209.61 ! [V_a_2,V_ba_2] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_ba_2),V_a_2)) % 209.33/209.61 => 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) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_dvd_OgreaterThanAtMost__empty__iff2,axiom, % 209.33/209.61 ! [V_l_2,V_k_2] : % 209.33/209.61 ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2) % 209.33/209.61 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2)) % 209.33/209.61 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_dvd_OgreaterThanAtMost__empty__iff,axiom, % 209.33/209.61 ! [V_l_2,V_k_2] : % 209.33/209.61 ( c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) % 209.33/209.61 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2)) % 209.33/209.61 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_dvd_OgreaterThanAtMost__empty,axiom, % 209.33/209.61 ! [V_k_2,V_l_2] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) % 209.33/209.61 => c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_dvd_OatLeastatMost__empty__iff2,axiom, % 209.33/209.61 ! [V_ba_2,V_a_2] : % 209.33/209.61 ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_ba_2) % 209.33/209.61 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_ba_2)) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_dvd_OatLeastatMost__empty__iff,axiom, % 209.33/209.61 ! [V_ba_2,V_a_2] : % 209.33/209.61 ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_ba_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) % 209.33/209.61 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_ba_2)) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_dvd_OatLeastatMost__empty,axiom, % 209.33/209.61 ! [V_a_2,V_ba_2] : % 209.33/209.61 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_ba_2),V_a_2)) % 209.33/209.61 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_ba_2)) ) % 209.33/209.61 => c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_ba_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_div__power,axiom, % 209.33/209.61 ! [V_n,V_x,V_y,T_a] : % 209.33/209.61 ( class_Divides_Osemiring__div(T_a) % 209.33/209.61 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x)) % 209.33/209.61 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)),V_n) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(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_y),V_n)) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_dvd__mod__iff,axiom, % 209.33/209.61 ! [V_m_2,V_n_2,V_k_2,T_b] : % 209.33/209.61 ( class_Divides_Osemiring__div(T_b) % 209.33/209.61 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),V_n_2)) % 209.33/209.61 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),c_Divides_Odiv__class_Omod(T_b,V_m_2,V_n_2))) % 209.33/209.61 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),V_m_2)) ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_mod__mod__cancel,axiom, % 209.33/209.61 ! [V_a,V_b,V_c,T_a] : % 209.33/209.61 ( class_Divides_Osemiring__div(T_a) % 209.33/209.61 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b)) % 209.33/209.61 => c_Divides_Odiv__class_Omod(T_a,c_Divides_Odiv__class_Omod(T_a,V_a,V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,V_a,V_c) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_dvd__mod,axiom, % 209.33/209.61 ! [V_n,V_m,V_k,T_a] : % 209.33/209.61 ( class_Divides_Osemiring__div(T_a) % 209.33/209.61 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_m)) % 209.33/209.61 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_n)) % 209.33/209.61 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),c_Divides_Odiv__class_Omod(T_a,V_m,V_n))) ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_dvd__mod__imp__dvd,axiom, % 209.33/209.61 ! [V_n,V_m,V_k,T_a] : % 209.33/209.61 ( class_Divides_Osemiring__div(T_a) % 209.33/209.61 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),c_Divides_Odiv__class_Omod(T_a,V_m,V_n))) % 209.33/209.61 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_n)) % 209.33/209.61 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_m)) ) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_nat__dvd__1__iff__1,axiom, % 209.33/209.61 ! [V_m_2] : % 209.33/209.61 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),c_Groups_Oone__class_Oone(tc_Nat_Onat))) % 209.33/209.61 <=> V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_dvd__0__left,axiom, % 209.33/209.61 ! [V_a,T_a] : % 209.33/209.61 ( class_Rings_Ocomm__semiring__1(T_a) % 209.33/209.61 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 209.33/209.61 => V_a = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_one__dvd,axiom, % 209.33/209.61 ! [V_a,T_a] : % 209.33/209.61 ( class_Rings_Ocomm__semiring__1(T_a) % 209.33/209.61 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) ) ). % 209.33/209.61 % 209.33/209.61 fof(fact_div__dvd__div,axiom, % 209.33/209.61 ! [V_ca_2,V_ba_2,V_a_2,T_b] : % 209.33/209.61 ( class_Divides_Osemiring__div(T_b) % 209.33/209.61 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_ba_2)) % 209.33/209.61 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_ca_2)) % 209.33/209.61 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),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_ca_2),V_a_2))) % 209.33/209.61 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_ba_2),V_ca_2)) ) ) ) ) ). % 209.33/209.61 % 209.33/209.61 %----Arity declarations (222) % 209.33/209.61 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom, % 209.33/209.61 class_Lattices_Obounded__lattice(tc_HOL_Obool) ). % 209.33/209.61 % 209.33/209.61 fof(arity_fun__Lattices_Obounded__lattice,axiom, % 209.33/209.61 ! [T_2,T_1] : % 209.33/209.61 ( class_Lattices_Obounded__lattice(T_1) % 209.33/209.61 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ). % 209.33/209.61 % 209.33/209.61 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom, % 209.33/209.61 ! [T_2,T_1] : % 209.33/209.61 ( class_Complete__Lattice_Ocomplete__lattice(T_1) % 209.33/209.61 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ). % 209.33/209.61 % 209.33/209.61 fof(arity_fun__Lattices_Obounded__lattice__top,axiom, % 209.33/209.61 ! [T_2,T_1] : % 209.33/209.61 ( class_Lattices_Obounded__lattice(T_1) % 209.33/209.61 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ). % 209.33/209.61 % 209.33/209.61 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom, % 209.33/209.61 ! [T_2,T_1] : % 209.33/209.61 ( class_Lattices_Obounded__lattice(T_1) % 209.33/209.61 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ). % 209.33/209.61 % 209.33/209.61 fof(arity_fun__Lattices_Osemilattice__sup,axiom, % 209.33/209.61 ! [T_2,T_1] : % 209.33/209.61 ( class_Lattices_Olattice(T_1) % 209.33/209.61 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ). % 209.33/209.61 % 209.33/209.61 fof(arity_fun__Lattices_Osemilattice__inf,axiom, % 209.33/209.61 ! [T_2,T_1] : % 209.33/209.61 ( class_Lattices_Olattice(T_1) % 209.33/209.61 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ). % 209.33/209.61 % 209.33/209.61 fof(arity_fun__Lattices_Odistrib__lattice,axiom, % 209.33/209.61 ! [T_2,T_1] : % 209.33/209.61 ( class_Lattices_Odistrib__lattice(T_1) % 209.33/209.61 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ). % 209.33/209.61 % 209.33/209.61 fof(arity_fun__Lattices_Oboolean__algebra,axiom, % 209.33/209.61 ! [T_2,T_1] : % 209.33/209.61 ( class_Lattices_Oboolean__algebra(T_1) % 209.33/209.61 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ). % 209.33/209.61 % 209.33/209.61 fof(arity_fun__Orderings_Opreorder,axiom, % 209.33/209.61 ! [T_2,T_1] : % 209.33/209.61 ( class_Orderings_Opreorder(T_1) % 209.33/209.61 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ). % 209.33/209.61 % 209.33/209.61 fof(arity_fun__Finite__Set_Ofinite,axiom, % 209.33/209.61 ! [T_1,T_2] : % 209.33/209.61 ( ( class_Finite__Set_Ofinite(T_2) % 209.33/209.61 & class_Finite__Set_Ofinite(T_1) ) % 209.33/209.61 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ). % 209.33/209.61 % 209.33/209.61 fof(arity_fun__Lattices_Olattice,axiom, % 209.33/209.61 ! [T_2,T_1] : % 209.33/209.61 ( class_Lattices_Olattice(T_1) % 209.33/209.61 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ). % 209.33/209.61 % 209.33/209.61 fof(arity_fun__Orderings_Oorder,axiom, % 209.33/209.61 ! [T_2,T_1] : % 209.33/209.61 ( class_Orderings_Oorder(T_1) % 209.33/209.61 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ). % 209.33/209.61 % 209.33/209.61 fof(arity_fun__Orderings_Otop,axiom, % 209.33/209.61 ! [T_2,T_1] : % 209.33/209.61 ( class_Orderings_Otop(T_1) % 209.33/209.61 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ). % 209.33/209.61 % 209.33/209.61 fof(arity_fun__Orderings_Oord,axiom, % 209.33/209.61 ! [T_2,T_1] : % 209.33/209.61 ( class_Orderings_Oord(T_1) % 209.33/209.61 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ). % 209.33/209.61 % 209.33/209.61 fof(arity_fun__Orderings_Obot,axiom, % 209.33/209.61 ! [T_2,T_1] : % 209.33/209.61 ( class_Orderings_Obot(T_1) % 209.33/209.61 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ). % 209.33/209.61 % 209.33/209.61 fof(arity_fun__Groups_Ouminus,axiom, % 209.33/209.61 ! [T_2,T_1] : % 209.33/209.61 ( class_Groups_Ouminus(T_1) % 209.33/209.61 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ). % 209.33/209.61 % 209.33/209.61 fof(arity_fun__Groups_Ominus,axiom, % 209.33/209.61 ! [T_2,T_1] : % 209.33/209.61 ( class_Groups_Ominus(T_1) % 209.33/209.61 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ). % 209.33/209.61 % 209.33/209.61 fof(arity_fun__Enum_Oenum,axiom, % 209.33/209.61 ! [T_1,T_2] : % 209.33/209.61 ( ( class_Enum_Oenum(T_2) % 209.33/209.61 & class_Enum_Oenum(T_1) ) % 209.33/209.61 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Com__Ocom__Nat_Osize,axiom, % 209.33/209.61 class_Nat_Osize(tc_Com_Ocom) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 209.33/209.61 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 209.33/209.61 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 209.33/209.61 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom, % 209.33/209.61 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom, % 209.33/209.61 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom, % 209.33/209.61 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom, % 209.33/209.61 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom, % 209.33/209.61 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom, % 209.33/209.61 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom, % 209.33/209.61 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom, % 209.33/209.61 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom, % 209.33/209.61 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom, % 209.33/209.61 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom, % 209.33/209.61 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom, % 209.33/209.61 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom, % 209.33/209.61 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom, % 209.33/209.61 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom, % 209.33/209.61 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom, % 209.33/209.61 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom, % 209.33/209.61 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom, % 209.33/209.61 class_Rings_Olinordered__semiring(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom, % 209.33/209.61 class_Rings_Olinordered__semidom(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Lazy__Sequence_Osmall__lazy,axiom, % 209.33/209.61 class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom, % 209.33/209.61 class_Lattices_Osemilattice__sup(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom, % 209.33/209.61 class_Lattices_Osemilattice__inf(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom, % 209.33/209.61 class_Lattices_Odistrib__lattice(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom, % 209.33/209.61 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom, % 209.33/209.61 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom, % 209.33/209.61 class_Groups_Oab__semigroup__add(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom, % 209.33/209.61 class_Rings_Oordered__semiring(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom, % 209.33/209.61 class_Rings_Oordered__ring__abs(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom, % 209.33/209.61 class_Rings_Ono__zero__divisors(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom, % 209.33/209.61 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom, % 209.33/209.61 class_Rings_Olinordered__ring(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom, % 209.33/209.61 class_Rings_Olinordered__idom(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom, % 209.33/209.61 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom, % 209.33/209.61 class_Groups_Osemigroup__add(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Divides_Osemiring__div,axiom, % 209.33/209.61 class_Divides_Osemiring__div(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom, % 209.33/209.61 class_Rings_Ocomm__semiring(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom, % 209.33/209.61 class_Nat_Osemiring__char__0(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Groups_Oab__group__add,axiom, % 209.33/209.61 class_Groups_Oab__group__add(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom, % 209.33/209.61 class_Rings_Ozero__neq__one(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Rings_Oordered__ring,axiom, % 209.33/209.61 class_Rings_Oordered__ring(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Orderings_Opreorder,axiom, % 209.33/209.61 class_Orderings_Opreorder(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Orderings_Olinorder,axiom, % 209.33/209.61 class_Orderings_Olinorder(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom, % 209.33/209.61 class_Groups_Omonoid__mult(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom, % 209.33/209.61 class_Rings_Ocomm__ring__1(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Groups_Omonoid__add,axiom, % 209.33/209.61 class_Groups_Omonoid__add(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Rings_Osemiring__1,axiom, % 209.33/209.61 class_Rings_Osemiring__1(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Rings_Osemiring__0,axiom, % 209.33/209.61 class_Rings_Osemiring__0(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Lattices_Olattice,axiom, % 209.33/209.61 class_Lattices_Olattice(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Groups_Ogroup__add,axiom, % 209.33/209.61 class_Groups_Ogroup__add(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Divides_Oring__div,axiom, % 209.33/209.61 class_Divides_Oring__div(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Rings_Omult__zero,axiom, % 209.33/209.61 class_Rings_Omult__zero(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Orderings_Oorder,axiom, % 209.33/209.61 class_Orderings_Oorder(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Int_Oring__char__0,axiom, % 209.33/209.61 class_Int_Oring__char__0(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Int_Onumber__ring,axiom, % 209.33/209.61 class_Int_Onumber__ring(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Rings_Osemiring,axiom, % 209.33/209.61 class_Rings_Osemiring(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Orderings_Oord,axiom, % 209.33/209.61 class_Orderings_Oord(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Groups_Ouminus,axiom, % 209.33/209.61 class_Groups_Ouminus(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Groups_Osgn__if,axiom, % 209.33/209.61 class_Groups_Osgn__if(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Groups_Oabs__if,axiom, % 209.33/209.61 class_Groups_Oabs__if(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Rings_Oring__1,axiom, % 209.33/209.61 class_Rings_Oring__1(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Groups_Ominus,axiom, % 209.33/209.61 class_Groups_Ominus(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Power_Opower,axiom, % 209.33/209.61 class_Power_Opower(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Groups_Ozero,axiom, % 209.33/209.61 class_Groups_Ozero(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Rings_Oring,axiom, % 209.33/209.61 class_Rings_Oring(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Rings_Oidom,axiom, % 209.33/209.61 class_Rings_Oidom(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Int_Onumber,axiom, % 209.33/209.61 class_Int_Onumber(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Groups_Oone,axiom, % 209.33/209.61 class_Groups_Oone(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Int__Oint__Rings_Odvd,axiom, % 209.33/209.61 class_Rings_Odvd(tc_Int_Oint) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 209.33/209.61 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 209.33/209.61 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 209.33/209.61 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom, % 209.33/209.61 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom, % 209.33/209.61 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom, % 209.33/209.61 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom, % 209.33/209.61 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom, % 209.33/209.61 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom, % 209.33/209.61 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom, % 209.33/209.61 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom, % 209.33/209.61 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom, % 209.33/209.61 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom, % 209.33/209.61 class_Rings_Olinordered__semiring(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom, % 209.33/209.61 class_Rings_Olinordered__semidom(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom, % 209.33/209.61 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom, % 209.33/209.61 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom, % 209.33/209.61 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom, % 209.33/209.61 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom, % 209.33/209.61 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom, % 209.33/209.61 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom, % 209.33/209.61 class_Rings_Oordered__semiring(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom, % 209.33/209.61 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom, % 209.33/209.61 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom, % 209.33/209.61 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom, % 209.33/209.61 class_Groups_Osemigroup__add(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom, % 209.33/209.61 class_Divides_Osemiring__div(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom, % 209.33/209.61 class_Rings_Ocomm__semiring(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Orderings_Owellorder,axiom, % 209.33/209.61 class_Orderings_Owellorder(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom, % 209.33/209.61 class_Nat_Osemiring__char__0(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom, % 209.33/209.61 class_Rings_Ozero__neq__one(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Orderings_Opreorder,axiom, % 209.33/209.61 class_Orderings_Opreorder(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Orderings_Olinorder,axiom, % 209.33/209.61 class_Orderings_Olinorder(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom, % 209.33/209.61 class_Groups_Omonoid__mult(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom, % 209.33/209.61 class_Groups_Omonoid__add(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom, % 209.33/209.61 class_Rings_Osemiring__1(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom, % 209.33/209.61 class_Rings_Osemiring__0(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Lattices_Olattice,axiom, % 209.33/209.61 class_Lattices_Olattice(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Rings_Omult__zero,axiom, % 209.33/209.61 class_Rings_Omult__zero(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Orderings_Oorder,axiom, % 209.33/209.61 class_Orderings_Oorder(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Rings_Osemiring,axiom, % 209.33/209.61 class_Rings_Osemiring(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Orderings_Oord,axiom, % 209.33/209.61 class_Orderings_Oord(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Orderings_Obot,axiom, % 209.33/209.61 class_Orderings_Obot(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Groups_Ominus,axiom, % 209.33/209.61 class_Groups_Ominus(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Power_Opower,axiom, % 209.33/209.61 class_Power_Opower(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Groups_Ozero,axiom, % 209.33/209.61 class_Groups_Ozero(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Int_Onumber,axiom, % 209.33/209.61 class_Int_Onumber(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Groups_Oone,axiom, % 209.33/209.61 class_Groups_Oone(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Rings_Odvd,axiom, % 209.33/209.61 class_Rings_Odvd(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nat__Onat__Nat_Osize,axiom, % 209.33/209.61 class_Nat_Osize(tc_Nat_Onat) ). % 209.33/209.61 % 209.33/209.61 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom, % 209.33/209.61 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ). % 209.33/209.61 % 209.33/209.61 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom, % 209.33/209.61 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ). % 209.33/209.61 % 209.33/209.61 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom, % 209.33/209.61 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ). % 209.33/209.61 % 209.33/209.61 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom, % 209.33/209.61 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ). % 209.33/209.61 % 209.33/209.61 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom, % 209.33/209.61 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ). % 209.33/209.61 % 209.33/209.61 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom, % 209.33/209.61 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ). % 209.33/209.61 % 209.33/209.61 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom, % 209.33/209.61 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ). % 209.33/209.61 % 209.33/209.61 fof(arity_HOL__Obool__Orderings_Opreorder,axiom, % 209.33/209.61 class_Orderings_Opreorder(tc_HOL_Obool) ). % 209.33/209.61 % 209.33/209.61 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom, % 209.33/209.61 class_Finite__Set_Ofinite(tc_HOL_Obool) ). % 209.33/209.61 % 209.33/209.61 fof(arity_HOL__Obool__Lattices_Olattice,axiom, % 209.33/209.61 class_Lattices_Olattice(tc_HOL_Obool) ). % 209.33/209.61 % 209.33/209.61 fof(arity_HOL__Obool__Orderings_Oorder,axiom, % 209.33/209.61 class_Orderings_Oorder(tc_HOL_Obool) ). % 209.33/209.61 % 209.33/209.61 fof(arity_HOL__Obool__Orderings_Otop,axiom, % 209.33/209.61 class_Orderings_Otop(tc_HOL_Obool) ). % 209.33/209.61 % 209.33/209.61 fof(arity_HOL__Obool__Orderings_Oord,axiom, % 209.33/209.61 class_Orderings_Oord(tc_HOL_Obool) ). % 209.33/209.61 % 209.33/209.61 fof(arity_HOL__Obool__Orderings_Obot,axiom, % 209.33/209.61 class_Orderings_Obot(tc_HOL_Obool) ). % 209.33/209.61 % 209.33/209.61 fof(arity_HOL__Obool__Groups_Ouminus,axiom, % 209.33/209.61 class_Groups_Ouminus(tc_HOL_Obool) ). % 209.33/209.61 % 209.33/209.61 fof(arity_HOL__Obool__Groups_Ominus,axiom, % 209.33/209.61 class_Groups_Ominus(tc_HOL_Obool) ). % 209.33/209.61 % 209.33/209.61 fof(arity_HOL__Obool__Enum_Oenum,axiom, % 209.33/209.61 class_Enum_Oenum(tc_HOL_Obool) ). % 209.33/209.61 % 209.33/209.61 fof(arity_HOL__Obool__Nat_Osize,axiom, % 209.33/209.61 class_Nat_Osize(tc_HOL_Obool) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Com__Ostate__Nat_Osize,axiom, % 209.33/209.61 class_Nat_Osize(tc_Com_Ostate) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Com__Ovname__Nat_Osize,axiom, % 209.33/209.61 class_Nat_Osize(tc_Com_Ovname) ). % 209.33/209.61 % 209.33/209.61 fof(arity_List__Olist__Lazy__Sequence_Osmall__lazy,axiom, % 209.33/209.61 ! [T_1] : % 209.33/209.61 ( class_Lazy__Sequence_Osmall__lazy(T_1) % 209.33/209.61 => class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(T_1)) ) ). % 209.33/209.61 % 209.33/209.61 fof(arity_List__Olist__Nat_Osize,axiom, % 209.33/209.61 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ). % 209.33/209.61 % 209.33/209.61 fof(arity_sum__Finite__Set_Ofinite,axiom, % 209.33/209.61 ! [T_1,T_2] : % 209.33/209.61 ( ( class_Finite__Set_Ofinite(T_2) % 209.33/209.61 & class_Finite__Set_Ofinite(T_1) ) % 209.33/209.61 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ). % 209.33/209.61 % 209.33/209.61 fof(arity_sum__Enum_Oenum,axiom, % 209.33/209.61 ! [T_1,T_2] : % 209.33/209.61 ( ( class_Enum_Oenum(T_2) % 209.33/209.61 & class_Enum_Oenum(T_1) ) % 209.33/209.61 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ). % 209.33/209.61 % 209.33/209.61 fof(arity_sum__Nat_Osize,axiom, % 209.33/209.61 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom, % 209.33/209.61 ! [T_1] : % 209.33/209.61 ( class_Finite__Set_Ofinite(T_1) % 209.33/209.61 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Option__Ooption__Enum_Oenum,axiom, % 209.33/209.61 ! [T_1] : % 209.33/209.61 ( class_Enum_Oenum(T_1) % 209.33/209.61 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Option__Ooption__Nat_Osize,axiom, % 209.33/209.61 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Nitpick__Opair____box__Nat_Osize,axiom, % 209.33/209.61 ! [T_1,T_2] : class_Nat_Osize(tc_Nitpick_Opair__box(T_2,T_1)) ). % 209.33/209.61 % 209.33/209.61 fof(arity_prod__Lazy__Sequence_Osmall__lazy,axiom, % 209.33/209.61 ! [T_1,T_2] : % 209.33/209.61 ( ( class_Lazy__Sequence_Osmall__lazy(T_2) % 209.33/209.61 & class_Lazy__Sequence_Osmall__lazy(T_1) ) % 209.33/209.61 => class_Lazy__Sequence_Osmall__lazy(tc_prod(T_2,T_1)) ) ). % 209.33/209.61 % 209.33/209.61 fof(arity_prod__Finite__Set_Ofinite,axiom, % 209.33/209.61 ! [T_1,T_2] : % 209.33/209.61 ( ( class_Finite__Set_Ofinite(T_2) % 209.33/209.61 & class_Finite__Set_Ofinite(T_1) ) % 209.33/209.61 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ). % 209.33/209.61 % 209.33/209.61 fof(arity_prod__Enum_Oenum,axiom, % 209.33/209.61 ! [T_1,T_2] : % 209.33/209.61 ( ( class_Enum_Oenum(T_2) % 209.33/209.61 & class_Enum_Oenum(T_1) ) % 209.33/209.61 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ). % 209.33/209.61 % 209.33/209.61 fof(arity_prod__Nat_Osize,axiom, % 209.33/209.61 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy,axiom, % 209.33/209.61 class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom, % 209.33/209.61 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom, % 209.33/209.61 class_Enum_Oenum(tc_Product__Type_Ounit) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Product____Type__Ounit__Nat_Osize,axiom, % 209.33/209.61 class_Nat_Osize(tc_Product__Type_Ounit) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Evaluation__Oterm__Nat_Osize,axiom, % 209.33/209.61 class_Nat_Osize(tc_Code__Evaluation_Oterm) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Hoare____Mirabelle__Otriple__Nat_Osize,axiom, % 209.33/209.61 ! [T_1] : class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(T_1)) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 209.33/209.61 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 209.33/209.61 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom, % 209.33/209.61 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom, % 209.33/209.61 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom, % 209.33/209.61 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom, % 209.33/209.61 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom, % 209.33/209.61 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom, % 209.33/209.61 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom, % 209.33/209.61 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom, % 209.33/209.61 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom, % 209.33/209.61 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom, % 209.33/209.61 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom, % 209.33/209.61 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom, % 209.33/209.61 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom, % 209.33/209.61 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom, % 209.33/209.61 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom, % 209.33/209.61 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom, % 209.33/209.61 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom, % 209.33/209.61 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom, % 209.33/209.61 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom, % 209.33/209.61 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom, % 209.33/209.61 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom, % 209.33/209.61 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom, % 209.33/209.61 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom, % 209.33/209.61 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom, % 209.33/209.61 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom, % 209.33/209.61 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom, % 209.33/209.61 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom, % 209.33/209.61 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom, % 209.33/209.61 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom, % 209.33/209.61 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom, % 209.33/209.61 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom, % 209.33/209.61 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom, % 209.33/209.61 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom, % 209.33/209.61 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom, % 209.33/209.61 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom, % 209.33/209.61 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom, % 209.33/209.61 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom, % 209.33/209.61 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom, % 209.33/209.61 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Rings_Odvd,axiom, % 209.33/209.61 class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom, % 209.33/209.61 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ). % 209.33/209.61 % 209.33/209.61 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom, % 209.33/209.61 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ). % 209.33/209.61 % 209.33/209.61 %----Helper facts (20) % 209.33/209.61 fof(help_c__COMBI__1,axiom, % 209.33/209.61 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ). % 209.33/209.61 % 209.33/209.61 fof(help_c__COMBK__1,axiom, % 209.33/209.61 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ). % 209.33/209.61 % 209.33/209.61 fof(help_c__COMBB__1,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(help_c__COMBC__1,axiom, % 209.33/209.61 ! [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) ). % 209.33/209.61 % 209.33/209.61 fof(help_c__COMBS__1,axiom, % 209.33/209.61 ! [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)) ). % 209.33/209.61 % 209.33/209.61 fof(help_c__fequal__1,axiom, % 209.33/209.61 ! [V_y_2,V_x_2] : % 209.33/209.61 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) % 209.33/209.61 | V_x_2 = V_y_2 ) ). % 209.33/209.61 % 209.33/209.61 fof(help_c__fequal__2,axiom, % 209.33/209.61 ! [V_y_2,V_x_2] : % 209.33/209.61 ( V_x_2 != V_y_2 % 209.33/209.61 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ). % 209.33/209.61 % 209.33/209.61 fof(help_c__fFalse__1,axiom, % 209.33/209.61 ~ hBOOL(c_fFalse) ). % 209.33/209.61 % 209.33/209.61 fof(help_c__fTrue__1,axiom, % 209.33/209.61 hBOOL(c_fTrue) ). % 209.33/209.61 % 209.33/209.61 fof(help_c__fNot__1,axiom, % 209.33/209.61 ! [V_Pa_2] : % 209.33/209.61 ( ~ hBOOL(hAPP(c_fNot,V_Pa_2)) % 209.33/209.61 | ~ hBOOL(V_Pa_2) ) ). % 209.33/209.61 % 209.33/209.61 fof(help_c__fNot__2,axiom, % 209.33/209.61 ! [V_Pa_2] : % 209.33/209.61 ( ~ ~ hBOOL(V_Pa_2) % 209.33/209.61 | hBOOL(hAPP(c_fNot,V_Pa_2)) ) ). % 209.33/209.61 % 209.33/209.61 fof(help_c__fconj__1,axiom, % 209.33/209.61 ! [V_Q_2,V_Pa_2] : % 209.33/209.61 ( ~ hBOOL(V_Pa_2) % 209.33/209.61 | ~ hBOOL(V_Q_2) % 209.33/209.61 | hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Q_2)) ) ). % 209.33/209.61 % 209.33/209.61 fof(help_c__fconj__2,axiom, % 209.33/209.61 ! [V_Q_2,V_Pa_2] : % 209.33/209.61 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Q_2)) % 209.33/209.61 | hBOOL(V_Pa_2) ) ). % 209.33/209.61 % 209.33/209.61 fof(help_c__fconj__3,axiom, % 209.33/209.61 ! [V_Q_2,V_Pa_2] : % 209.33/209.61 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Q_2)) % 209.33/209.61 | hBOOL(V_Q_2) ) ). % 209.33/209.61 % 209.33/209.61 fof(help_c__fdisj__1,axiom, % 209.33/209.61 ! [V_Q_2,V_Pa_2] : % 209.33/209.61 ( ~ hBOOL(V_Pa_2) % 209.33/209.61 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Q_2)) ) ). % 209.33/209.61 % 209.33/209.61 fof(help_c__fdisj__2,axiom, % 209.33/209.61 ! [V_Pa_2,V_Q_2] : % 209.33/209.61 ( ~ hBOOL(V_Q_2) % 209.33/209.61 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Q_2)) ) ). % 209.33/209.61 % 209.33/209.61 fof(help_c__fdisj__3,axiom, % 209.33/209.61 ! [V_Q_2,V_Pa_2] : % 209.33/209.61 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Q_2)) % 209.33/209.61 | hBOOL(V_Pa_2) % 209.33/209.61 | hBOOL(V_Q_2) ) ). % 209.33/209.61 % 209.33/209.61 fof(help_c__fimplies__1,axiom, % 209.33/209.61 ! [V_Q_2,V_Pa_2] : % 209.33/209.61 ( hBOOL(V_Pa_2) % 209.33/209.61 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Q_2)) ) ). % 209.33/209.61 % 209.33/209.61 fof(help_c__fimplies__2,axiom, % 209.33/209.61 ! [V_Pa_2,V_Q_2] : % 209.33/209.61 ( ~ hBOOL(V_Q_2) % 209.33/209.61 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Q_2)) ) ). % 209.33/209.61 % 209.33/209.61 fof(help_c__fimplies__3,axiom, % 209.33/209.61 ! [V_Q_2,V_Pa_2] : % 209.33/209.61 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Q_2)) % 209.33/209.61 | ~ hBOOL(V_Pa_2) % 209.33/209.61 | hBOOL(V_Q_2) ) ). % 209.33/209.61 % 209.33/209.61 %----Conjectures (1) % 209.33/209.61 fof(conj_0,conjecture, % 209.33/209.61 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,hAPP(hAPP(c_COMBC(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),t_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),v_P))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate),c_fNot),v_b)),c_Com_Ocom_OWhile(v_b,v_c),v_P)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ). % 209.33/209.61 % 209.33/209.61 %------------------------------------------------------------------------------ % 209.33/209.61 %------------------------------------------- % 209.33/209.61 % Proof found % 209.33/209.61 % SZS status Theorem for theBenchmark % 209.33/209.61 % SZS output start Proof % 209.33/209.62 %ClaNum:10486(EqnAxiom:3144) % 209.33/209.62 %VarNum:70806(SingletonVarNum:20513) % 209.33/209.62 %MaxLitNum:8 % 209.33/209.62 %MaxfuncDepth:13 % 209.33/209.62 %SharedTerms:1039 % 209.33/209.62 %goalClause: 4808 % 209.33/209.62 %singleGoalClaCount:1 % 209.33/209.62 [3148]P1(a922) % 209.33/209.62 [3149]P1(a927) % 209.33/209.62 [3150]P106(a194) % 209.33/209.62 [3151]P2(a922) % 209.33/209.62 [3152]P2(a927) % 209.33/209.62 [3153]P2(a1) % 209.33/209.62 [3154]P2(a106) % 209.33/209.62 [3155]P107(a922) % 209.33/209.62 [3156]P107(a927) % 209.33/209.62 [3157]P107(a1) % 209.33/209.62 [3158]P107(a106) % 209.33/209.62 [3159]P108(a927) % 209.33/209.62 [3160]P108(a1) % 209.33/209.62 [3161]P108(a106) % 209.33/209.62 [3162]P109(a922) % 209.33/209.62 [3163]P109(a927) % 209.33/209.62 [3164]P109(a1) % 209.33/209.62 [3165]P109(a106) % 209.33/209.62 [3166]P110(a922) % 209.33/209.62 [3167]P110(a927) % 209.33/209.62 [3168]P110(a1) % 209.33/209.62 [3169]P110(a106) % 209.33/209.62 [3170]P111(a922) % 209.33/209.62 [3171]P78(a1) % 209.33/209.62 [3172]P82(a922) % 209.33/209.62 [3173]P82(a1) % 209.33/209.62 [3174]P90(a922) % 209.33/209.62 [3175]P3(a1) % 209.33/209.62 [3176]P4(a1) % 209.33/209.62 [3177]P5(a922) % 209.33/209.62 [3178]P69(a927) % 209.33/209.62 [3179]P69(a1) % 209.33/209.62 [3180]P69(a106) % 209.33/209.62 [3181]P112(a1) % 209.33/209.62 [3182]P121(a1) % 209.33/209.62 [3183]P96(a922) % 209.33/209.62 [3184]P96(a927) % 209.33/209.62 [3185]P96(a1) % 209.33/209.62 [3186]P101(a922) % 209.33/209.62 [3187]P101(a927) % 209.33/209.62 [3188]P101(a1) % 209.33/209.62 [3189]P97(a922) % 209.33/209.62 [3190]P99(a922) % 209.33/209.62 [3191]P122(a1) % 209.33/209.62 [3192]P102(a922) % 209.33/209.62 [3193]P102(a927) % 209.33/209.62 [3194]P102(a1) % 209.33/209.62 [3195]P100(a922) % 209.33/209.62 [3196]P100(a927) % 209.33/209.62 [3197]P100(a1) % 209.33/209.62 [3198]P61(a922) % 209.33/209.62 [3199]P61(a930) % 209.33/209.62 [3200]P79(a927) % 209.33/209.62 [3201]P79(a1) % 209.33/209.62 [3202]P79(a106) % 209.33/209.62 [3203]P71(a927) % 209.33/209.62 [3204]P71(a1) % 209.33/209.62 [3205]P71(a106) % 209.33/209.62 [3206]P80(a927) % 209.33/209.62 [3207]P80(a1) % 209.33/209.62 [3208]P80(a106) % 209.33/209.62 [3209]P125(a927) % 209.33/209.62 [3210]P125(a1) % 209.33/209.62 [3211]P125(a106) % 209.33/209.62 [3212]P139(a1) % 209.33/209.62 [3213]P113(a927) % 209.33/209.62 [3214]P114(a1) % 209.33/209.62 [3215]P116(a927) % 209.33/209.62 [3216]P116(a1) % 209.33/209.62 [3217]P116(a106) % 209.33/209.62 [3218]P72(a927) % 209.33/209.62 [3219]P72(a1) % 209.33/209.62 [3220]P72(a106) % 209.33/209.62 [3221]P73(a927) % 209.33/209.62 [3222]P73(a1) % 209.33/209.62 [3223]P73(a106) % 209.33/209.62 [3224]P70(a927) % 209.33/209.62 [3225]P70(a1) % 209.33/209.62 [3226]P70(a106) % 209.33/209.62 [3227]P83(a927) % 209.33/209.62 [3228]P83(a1) % 209.33/209.62 [3229]P83(a106) % 209.33/209.62 [3230]P84(a927) % 209.33/209.62 [3231]P84(a1) % 209.33/209.62 [3232]P84(a106) % 209.33/209.62 [3233]P86(a927) % 209.33/209.62 [3234]P86(a1) % 209.33/209.62 [3235]P86(a106) % 209.33/209.62 [3236]P117(a927) % 209.33/209.62 [3237]P117(a1) % 209.33/209.62 [3238]P117(a106) % 209.33/209.62 [3239]P141(a927) % 209.33/209.62 [3240]P141(a1) % 209.33/209.62 [3241]P141(a106) % 209.33/209.62 [3242]P143(a927) % 209.33/209.62 [3243]P143(a1) % 209.33/209.62 [3244]P128(a1) % 209.33/209.62 [3245]P76(a927) % 209.33/209.62 [3246]P76(a1) % 209.33/209.62 [3247]P76(a106) % 209.33/209.62 [3248]P77(a1) % 209.33/209.62 [3249]P91(a927) % 209.33/209.62 [3250]P91(a1) % 209.33/209.62 [3251]P91(a106) % 209.33/209.62 [3252]P75(a927) % 209.33/209.62 [3253]P75(a1) % 209.33/209.62 [3254]P75(a106) % 209.33/209.62 [3255]P81(a927) % 209.33/209.62 [3256]P81(a1) % 209.33/209.62 [3257]P81(a106) % 209.33/209.62 [3258]P129(a927) % 209.33/209.62 [3259]P129(a1) % 209.33/209.62 [3260]P129(a106) % 209.33/209.62 [3261]P142(a1) % 209.33/209.62 [3262]P134(a927) % 209.33/209.62 [3263]P134(a1) % 209.33/209.62 [3264]P134(a106) % 209.33/209.62 [3265]P144(a927) % 209.33/209.62 [3266]P144(a1) % 209.33/209.62 [3267]P144(a106) % 209.33/209.62 [3268]P87(a927) % 209.33/209.62 [3269]P87(a1) % 209.33/209.62 [3270]P87(a106) % 209.33/209.62 [3271]P135(a927) % 209.33/209.62 [3272]P135(a1) % 209.33/209.62 [3273]P135(a106) % 209.33/209.62 [3274]P137(a927) % 209.33/209.62 [3275]P137(a1) % 209.33/209.62 [3276]P137(a106) % 209.33/209.62 [3277]P136(a927) % 209.33/209.62 [3278]P136(a1) % 209.33/209.62 [3279]P136(a106) % 209.33/209.62 [3280]P126(a1) % 209.33/209.62 [3281]P127(a1) % 209.33/209.62 [3282]P130(a927) % 209.33/209.62 [3283]P130(a1) % 209.33/209.62 [3284]P130(a106) % 209.33/209.62 [3285]P123(a927) % 209.33/209.62 [3286]P123(a1) % 209.33/209.62 [3287]P123(a106) % 209.33/209.62 [3288]P131(a927) % 209.33/209.62 [3289]P131(a1) % 209.33/209.62 [3290]P131(a106) % 209.33/209.62 [3291]P132(a1) % 209.33/209.62 [3292]P133(a1) % 209.33/209.62 [3293]P145(a927) % 209.33/209.62 [3294]P145(a1) % 209.33/209.62 [3295]P145(a106) % 209.33/209.62 [3296]P103(a927) % 209.33/209.62 [3297]P103(a1) % 209.33/209.62 [3298]P103(a106) % 209.33/209.62 [3299]P146(a927) % 209.33/209.62 [3300]P146(a1) % 209.33/209.62 [3301]P146(a106) % 209.33/209.62 [3302]P140(a1) % 209.33/209.62 [3303]P92(a1) % 209.33/209.62 [3304]P115(a927) % 209.33/209.62 [3305]P115(a1) % 209.33/209.62 [3306]P115(a106) % 209.33/209.62 [3307]P62(a927) % 209.33/209.62 [3308]P62(a1) % 209.33/209.62 [3309]P62(a106) % 209.33/209.62 [3310]P63(a1) % 209.33/209.62 [3311]P93(a1) % 209.33/209.62 [3312]P94(a927) % 209.33/209.62 [3313]P94(a1) % 209.33/209.62 [3314]P94(a106) % 209.33/209.62 [3315]P88(a1) % 209.33/209.62 [3316]P85(a1) % 209.33/209.62 [3317]P138(a1) % 209.33/209.62 [3318]P74(a1) % 209.33/209.62 [3319]P89(a927) % 209.33/209.62 [3320]P89(a1) % 209.33/209.62 [3321]P89(a106) % 209.33/209.62 [3322]P64(a922) % 209.33/209.62 [3323]P64(a930) % 209.33/209.62 [3324]P105(a922) % 209.33/209.62 [3325]P105(a923) % 209.33/209.62 [3326]P105(a927) % 209.33/209.62 [3327]P105(a925) % 209.33/209.62 [3328]P105(a930) % 209.33/209.62 [3329]P105(a924) % 209.33/209.62 [3330]P105(a106) % 209.33/209.62 [3331]P105(a331) % 209.33/209.62 [3332]P104(a930) % 209.33/209.62 [3333]P104(a1) % 209.33/209.62 [3334]P118(a927) % 209.33/209.62 [3335]P118(a1) % 209.33/209.62 [3336]P118(a106) % 209.33/209.62 [3337]P98(a922) % 209.33/209.62 [3353]P37(a927,a248) % 209.33/209.62 [3354]P37(a927,a325) % 209.33/209.62 [3355]P38(a927,a248) % 209.33/209.62 [4707]~E(a104,a89) % 209.33/209.62 [4708]~P106(a247) % 209.33/209.62 [3145]E(f2(a1),a89) % 209.33/209.62 [3146]E(f107(a106),a3) % 209.33/209.62 [3147]E(f23(a106),a24) % 209.33/209.62 [3338]E(f195(a927),f2(a927)) % 209.33/209.62 [3339]E(f108(a927),f241(a927)) % 209.33/209.62 [3340]E(f117(a927),f242(a927)) % 209.33/209.62 [3341]E(f109(a1),f25(a1)) % 209.33/209.62 [3342]E(f30(a26),f2(a927)) % 209.33/209.62 [3343]E(f90(a247),f2(a927)) % 209.33/209.62 [3344]E(f90(a194),f2(a927)) % 209.33/209.62 [3345]P6(f84(a1)) % 209.33/209.62 [3346]P6(f2(a1)) % 209.33/209.62 [3407]P37(f933(a927,a927),a38) % 209.33/209.62 [3753]E(f327(a927,a927,a248,a248),a38) % 209.33/209.62 [4709]~E(f84(a1),f2(a1)) % 209.33/209.62 [3347]E(f118(f2(a927)),f2(a927)) % 209.33/209.62 [3348]E(f4(f2(a106)),f2(a927)) % 209.33/209.62 [3359]E(f335(f85(a1),a89),a89) % 209.33/209.62 [3362]E(f335(a119,f2(a927)),f84(a927)) % 209.33/209.62 [3363]E(f335(a111,f84(a1)),f84(a927)) % 209.33/209.62 [3364]E(f335(a3,f84(a927)),f84(a106)) % 209.33/209.62 [3366]E(f335(a3,f2(a927)),f2(a106)) % 209.33/209.62 [3368]E(f335(f110(a1),a89),f2(a1)) % 209.33/209.62 [3369]E(f335(f110(a106),a89),f2(a106)) % 209.33/209.62 [3370]E(f335(a111,f2(a1)),f2(a927)) % 209.33/209.62 [3371]E(f335(f196(a922),a247),f2(a927)) % 209.33/209.62 [3372]E(f335(f196(a922),a194),f2(a927)) % 209.33/209.62 [3373]E(f335(f196(a924),a26),f2(a927)) % 209.33/209.62 [3374]E(f335(f110(a927),a89),f2(a927)) % 209.33/209.62 [3380]E(f335(f85(a1),f84(a1)),a104) % 209.33/209.62 [3387]E(f335(f85(a1),f2(a1)),f2(a1)) % 209.33/209.62 [3389]E(f335(f196(a106),f2(a106)),f2(a927)) % 209.33/209.62 [3390]E(f335(f107(a1),f84(a927)),f84(a1)) % 209.33/209.62 [3391]E(f335(f107(a1),f2(a927)),f2(a1)) % 209.33/209.62 [3403]E(f335(a111,f84(a1)),f335(a119,f2(a927))) % 209.33/209.62 [3405]E(f326(f933(a927,a927),a38),a39) % 209.33/209.62 [3406]E(f328(f933(a927,a927),a38),a74) % 209.33/209.62 [3433]E(f335(f290(a927),f2(a927)),f195(f934(a927,a922))) % 209.33/209.62 [3434]E(f335(f291(a927),f2(a927)),f250(f934(a927,a922))) % 209.33/209.62 [3443]P40(f195(f934(a1,a922))) % 209.33/209.62 [3477]E(f335(f335(f23(a106),f2(a106)),f84(a106)),f2(a106)) % 209.33/209.62 [3552]P106(f335(f335(f244(a1),a104),f2(a1))) % 209.33/209.62 [3576]P106(f335(f335(f243(a1),f2(a1)),f84(a1))) % 209.33/209.62 [3578]P106(f335(f335(f244(a1),f2(a1)),f84(a1))) % 209.33/209.62 [3784]E(f335(f335(f297(a927,a927,a927),a325),f315(a927,a325)),a248) % 209.33/209.62 [3826]P41(a1,a927,a111,f335(f243(a1),f2(a1))) % 209.33/209.62 [3830]E(f335(f335(f44(a927,f934(a927,a922)),f250(f934(a927,a922))),f290(a927)),f250(f934(a927,a922))) % 209.33/209.62 [3831]E(f335(f335(f44(a927,f934(a927,a922)),f250(f934(a927,a922))),f291(a927)),f250(f934(a927,a922))) % 209.33/209.62 [3832]E(f335(f335(f44(a927,f934(a927,a922)),f250(f934(a927,a922))),f309(a927)),f250(f934(a927,a922))) % 209.33/209.62 [3833]E(f335(f335(f45(a927,f934(a927,a922)),f250(f934(a927,a922))),f312(a927)),f195(f934(a927,a922))) % 209.33/209.62 [3848]P25(a927,a1,f107(a1),f250(f934(a927,a922))) % 209.33/209.62 [3862]P41(a927,a1,f107(a1),f335(f16(a922,a927),a194)) % 209.33/209.62 [3999]E(f335(f78(a927,a106,a1,a3),a111),f110(a106)) % 209.33/209.62 [4224]P57(a106,a927,a20,a3,f250(f934(a927,a922))) % 209.33/209.62 [4229]P57(a1,f934(f933(a927,a927),a922),a114,a95,a105) % 209.33/209.62 [4485]E(f266(a1,a1,a1,a1,f25(a1),f85(a1)),a56) % 209.33/209.62 [4732]~E(f335(f110(a1),a104),f335(f110(a1),a89)) % 209.33/209.62 [4733]~P106(f335(a200,f84(a1))) % 209.33/209.62 [4734]~P106(f335(a200,f2(a1))) % 209.33/209.62 [4775]~P106(f335(f335(f244(a1),a89),f2(a1))) % 209.33/209.62 [3425]E(f335(f335(f23(a1),a104),a104),a89) % 209.33/209.62 [3441]E(f335(f107(a1),f335(a119,f2(a927))),f84(a1)) % 209.33/209.62 [3506]E(f335(f40(a930),f250(f934(a930,a922))),f84(a927)) % 209.33/209.62 [3526]P106(f335(a200,f335(f110(a1),a104))) % 209.33/209.62 [3528]P106(f335(f335(f243(a1),a104),a89)) % 209.33/209.62 [3530]P106(f335(f335(f244(a1),a104),a89)) % 209.33/209.62 [3587]E(f335(f335(f317(a927),f2(a927)),f195(f934(a927,a922))),f335(f309(a927),f2(a927))) % 209.33/209.62 [3642]P106(f335(f335(f243(a1),f2(a1)),f335(f110(a1),a89))) % 209.33/209.62 [3654]E(f335(f318(a927,a927,a119),f250(f934(a927,a922))),f335(f312(a927),f2(a927))) % 209.33/209.62 [3691]P8(f933(a927,a927),f250(f934(f933(a927,a927),a922)),a115) % 209.33/209.62 [4006]E(f335(f78(a927,a1,a106,f107(a1)),a20),a22) % 209.33/209.62 [4067]P37(a927,f335(f270(f933(a927,a927)),f335(f265(a927,a927,a922),f244(a927)))) % 209.33/209.62 [4766]~P106(f335(a200,f335(f110(a1),a89))) % 209.33/209.62 [4767]~P106(f335(f335(f243(a1),a89),a104)) % 209.33/209.62 [4768]~P106(f335(f335(f244(a1),a89),a89)) % 209.33/209.62 [4769]~P106(f335(f335(f244(a1),a89),a104)) % 209.33/209.62 [4770]~P106(f335(f335(f244(a1),a104),a104)) % 209.33/209.62 [4781]~P106(f335(f66(a927),f250(f934(a927,a922)))) % 209.33/209.62 [4782]~P106(f335(f66(a1),f250(f934(a1,a922)))) % 209.33/209.62 [4651]E(f335(f265(a1,a1,a922),f335(f335(f8(f934(a1,a922),f934(a1,a922),a1),f335(f18(a1,a922,a922),f335(f335(f8(a922,f934(a922,a922),a1),a333),f335(f244(a1),f2(a1))))),f335(f335(f7(a1,a1,f934(a1,a922)),f335(f335(f8(f934(a1,f934(a1,a922)),f934(a1,f934(a1,a922)),a1),f7(a1,a1,a922)),f335(f335(f8(f934(a1,a1),f934(a1,f934(a1,a922)),a1),f335(f8(a1,f934(a1,a922),a1),a332)),a226))),f84(a1)))),a222) % 209.33/209.62 [4808]~P24(a921,a936,f335(f335(f317(f926(a921)),f98(a921,f335(f335(f7(a921,f934(a923,a922),f934(a923,a922)),f335(f335(f8(f934(a923,f934(a922,a922)),f934(f934(a923,a922),f934(a923,a922)),a921),f18(a923,a922,a922)),f335(f335(f8(f934(a923,a922),f934(a923,f934(a922,a922)),a921),f335(f8(a922,f934(a922,a922),a923),a333)),a937))),f335(f335(f8(a922,a922,a923),a330),a938)),f31(a938,a939),a937)),f195(f934(f926(a921),a922)))) % 209.33/209.62 [3728]E(f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104),f335(f85(a1),a104)) % 209.33/209.62 [3766]E(f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104),f335(f335(f23(a1),a89),a104)) % 209.33/209.62 [3932]E(f335(f335(f65(f933(a927,a927)),f250(f934(f933(a927,a927),a922))),a115),a105) % 209.33/209.62 [3961]E(f335(f110(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f84(a1)) % 209.33/209.62 [3962]E(f335(f110(a106),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f84(a106)) % 209.33/209.62 [3963]E(f335(f110(a927),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f84(a927)) % 209.33/209.62 [3967]E(f335(f110(a927),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(a119,f2(a927))) % 209.33/209.62 [4351]E(f335(f335(f117(f934(f933(f933(a927,a927),f933(a927,a927)),a922)),a38),f315(f933(a927,a927),f195(f934(f933(f933(a927,a927),f933(a927,a927)),a922)))),a76) % 209.33/209.62 [4419]E(f335(a95,f335(f293(f933(a927,a927),f933(a927,a927),a115),f335(f335(f317(f933(a927,a927)),f335(f335(f260(a927,a927),f84(a927)),f2(a927))),f195(f934(f933(a927,a927),a922))))),f84(a1)) % 209.33/209.62 [4420]E(f335(a95,f335(f293(f933(a927,a927),f933(a927,a927),a115),f335(f335(f317(f933(a927,a927)),f335(f335(f260(a927,a927),f2(a927)),f2(a927))),f195(f934(f933(a927,a927),a922))))),f2(a1)) % 209.33/209.62 [4433]E(f335(f270(f933(a927,a927)),f335(f265(a927,a927,a922),f335(f335(f8(a927,f934(a927,a922),a927),f335(f7(a927,a927,a922),a332)),a119))),a325) % 209.33/209.62 [4405]E(f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))),f335(a119,f335(a119,f2(a927)))) % 209.33/209.62 [4408]E(f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))),f335(f335(f86(a927),f84(a927)),f84(a927))) % 209.33/209.62 [4409]E(f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))),f335(f40(a922),f250(f934(a922,a922)))) % 209.33/209.62 [4472]P6(f335(f110(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))) % 209.33/209.62 [4541]P27(f934(f933(a927,a927),a922),f335(f335(f260(f934(f933(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922)),a922),f934(f933(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922)),a922)),a39),a75)) % 209.33/209.62 [4542]P27(f934(f933(a927,a927),a922),f335(f335(f260(f934(f933(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922)),a922),f934(f933(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922)),a922)),a74),a77)) % 209.33/209.62 [4582]E(f335(f335(f117(f934(f933(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922)),a922)),f328(f933(a927,a927),a76)),f335(f335(f317(f933(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922))),f335(f335(f260(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922)),f195(f934(f933(a927,a927),a922))),f195(f934(f933(a927,a927),a922)))),f195(f934(f933(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922)),a922)))),a77) % 209.33/209.62 [4583]E(f335(f335(f117(f934(f933(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922)),a922)),f326(f933(a927,a927),a76)),f335(f335(f317(f933(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922))),f335(f335(f260(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922)),f195(f934(f933(a927,a927),a922))),f195(f934(f933(a927,a927),a922)))),f195(f934(f933(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922)),a922)))),a75) % 209.33/209.62 [4474]E(f335(a111,f335(f110(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),f335(a119,f335(a119,f2(a927)))) % 209.33/209.62 [4519]E(f335(f107(a1),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),f335(f110(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))) % 209.33/209.62 [4552]P106(f335(f335(f243(a1),f2(a1)),f335(f110(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))) % 209.33/209.62 [4553]E(f335(f110(a927),f335(f335(f23(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))),a104)),f335(a119,f335(a119,f335(a119,f2(a927))))) % 209.33/209.62 [4597]P6(f335(f110(a1),f335(f335(f23(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))),a104))) % 209.33/209.62 [4623]E(f335(f107(a1),f335(f110(a927),f335(f335(f23(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))),a104))),f335(f110(a1),f335(f335(f23(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))),a104))) % 209.33/209.62 [4636]P106(f335(f335(f243(a1),f2(a1)),f335(f110(a1),f335(f335(f23(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))),a104)))) % 209.33/209.62 [3356]P7(x33561,a332) % 209.33/209.62 [3754]P25(a927,a927,a119,x37541) % 209.33/209.62 [3349]P105(f926(x33491)) % 209.33/209.62 [3350]P105(f931(x33501)) % 209.33/209.62 [3351]P105(f928(x33511)) % 209.33/209.62 [3352]P105(f929(x33521)) % 209.33/209.62 [3375]P37(a1,f112(x33751)) % 209.33/209.62 [3376]P37(a1,f113(x33761)) % 209.33/209.62 [3429]P37(f934(x34291,a922),f322(x34291)) % 209.33/209.62 [3430]P38(f934(x34301,a922),f322(x34301)) % 209.33/209.62 [3455]E(f251(x34551,x34551,a332),a332) % 209.33/209.62 [3470]E(f50(a1,x34701,x34701),f2(a1)) % 209.33/209.62 [3523]P14(x35231,f934(x35231,a922),f317(x35231)) % 209.33/209.62 [4713]~E(f335(a119,x47131),x47131) % 209.33/209.62 [4725]~E(f335(a119,x47251),f2(a927)) % 209.33/209.62 [3357]E(f35(f33(x33571)),f2(a927)) % 209.33/209.62 [3358]E(f35(f34(x33581)),f2(a927)) % 209.33/209.62 [3360]E(f335(f196(a927),x33601),x33601) % 209.33/209.62 [3361]E(f335(f110(a1),x33611),x33611) % 209.33/209.62 [3377]E(f335(a95,f336(x33771)),x33771) % 209.33/209.62 [3378]E(f335(a3,f576(x33781)),x33781) % 209.33/209.62 [3379]E(f249(x33791,f2(a106)),f2(a106)) % 209.33/209.62 [3392]E(f121(x33921,f120(x33921)),f120(x33921)) % 209.33/209.62 [3393]E(f159(x33931,f120(x33931)),f120(x33931)) % 209.33/209.62 [3395]E(f335(f196(a925),f33(x33951)),f2(a927)) % 209.33/209.62 [3396]E(f335(f196(a925),f34(x33961)),f2(a927)) % 209.33/209.62 [3400]E(f335(f174(x34001),f120(x34001)),f120(x34001)) % 209.33/209.62 [3401]E(f335(f178(x34011),f120(x34011)),f120(x34011)) % 209.33/209.62 [3402]E(f335(f175(x34021),f120(x34021)),f120(x34021)) % 209.33/209.62 [3408]E(f335(f110(a1),x34081),f335(f109(a1),x34081)) % 209.33/209.62 [3409]E(f335(a95,f335(a114,x34091)),x34091) % 209.33/209.62 [3411]E(f335(a3,f335(a20,x34111)),x34111) % 209.33/209.62 [3412]E(f335(a20,f335(a3,x34121)),x34121) % 209.33/209.62 [3414]P6(f335(f107(a1),x34141)) % 209.33/209.62 [3423]E(f335(f196(f928(x34231)),f120(x34231)),f2(a927)) % 209.33/209.62 [3424]E(f335(f196(f929(x34241)),f126(x34241)),f2(a927)) % 209.33/209.62 [3446]E(f335(f335(f23(a927),x34461),f2(a927)),x34461) % 209.33/209.62 [3447]E(f335(f335(f87(a927),x34471),f84(a927)),x34471) % 209.33/209.62 [3448]E(f335(f335(f87(a1),x34481),f84(a1)),x34481) % 209.33/209.62 [3449]E(f335(f335(f86(a927),x34491),f2(a927)),x34491) % 209.33/209.62 [3450]E(f335(f335(f86(a1),x34501),f2(a1)),x34501) % 209.33/209.62 [3451]E(f335(f335(f242(a927),x34511),f2(a927)),x34511) % 209.33/209.62 [3452]E(f335(f335(f87(a927),x34521),f2(a927)),f2(a927)) % 209.33/209.62 [3453]E(f335(f335(f241(a927),x34531),f2(a927)),f2(a927)) % 209.33/209.62 [3454]E(f335(f335(f41(a1),x34541),f2(a1)),f2(a1)) % 209.33/209.62 [3461]E(f335(f179(x34611),f120(x34611)),f195(f934(x34611,a922))) % 209.33/209.62 [3465]P106(f335(f144(x34651),f120(x34651))) % 209.33/209.62 [3471]E(f335(f161(x34711,x34711),f5(x34711)),f25(f928(x34711))) % 209.33/209.62 [3472]E(f335(f161(x34721,x34721),f25(x34721)),f25(f928(x34721))) % 209.33/209.62 [3473]E(f50(a1,x34731,f2(a1)),x34731) % 209.33/209.62 [3474]E(f335(f243(a927),f335(a119,x34741)),f335(f244(a927),x34741)) % 209.33/209.62 [3475]E(f335(f290(a927),f335(a119,x34751)),f335(f309(a927),x34751)) % 209.33/209.62 [3476]E(f335(f291(a927),f335(a119,x34761)),f335(f312(a927),x34761)) % 209.33/209.62 [3478]E(f50(a1,f2(a1),x34781),f2(a1)) % 209.33/209.62 [3491]E(f335(f335(f86(a927),x34911),f84(a927)),f335(a119,x34911)) % 209.33/209.62 [3500]E(f335(f310(a927,x35001),f2(a927)),f195(f934(a927,a922))) % 209.33/209.62 [3512]E(f311(a927,f2(a927),x35121),f335(f309(a927),x35121)) % 209.33/209.62 [3555]E(f335(f335(f23(a927),f335(a119,x35551)),f84(a927)),x35551) % 209.33/209.62 [3567]E(f52(f2(a1),x35671),f335(f335(f260(a1,a1),f2(a1)),f2(a1))) % 209.33/209.62 [3617]P106(f335(f335(f244(a927),x36171),f335(a119,x36171))) % 209.33/209.62 [3629]P106(f335(f335(f244(a927),f2(a927)),f335(a119,x36291))) % 209.33/209.62 [3861]E(f97(x38611,x38611,f250(f934(x38611,a922)),f25(x38611)),f25(x38611)) % 209.33/209.62 [3919]E(f335(f335(f23(a106),f335(a3,f335(a119,f335(a20,x39191)))),f84(a106)),x39191) % 209.33/209.62 [3990]P106(f335(f335(f243(a1),f335(f85(a1),f335(f107(a1),x39901))),f2(a1))) % 209.33/209.62 [4139]P106(f335(f335(f244(a1),f335(f85(a1),f335(f107(a1),f335(a119,x41391)))),f2(a1))) % 209.33/209.62 [4739]~E(f250(f934(x47391,a922)),f195(f934(x47391,a922))) % 209.33/209.62 [4778]~P106(f335(f335(f244(a927),x47781),f2(a927))) % 209.33/209.62 [4791]~P106(f335(f335(f244(a1),f335(f107(a1),x47911)),f2(a1))) % 209.33/209.62 [3413]E(f127(x34131,f126(f929(x34131))),f126(x34131)) % 209.33/209.62 [3428]E(f186(x34281,f120(f928(x34281))),f120(f928(x34281))) % 209.33/209.62 [3431]E(f335(f335(f87(a1),a89),x34311),a89) % 209.33/209.62 [3432]E(f335(f335(f86(a1),a89),x34321),x34321) % 209.33/209.62 [3435]E(f335(a111,f335(f107(a1),x34351)),x34351) % 209.33/209.62 [3436]E(f335(f335(f23(a1),x34361),a89),x34361) % 209.33/209.62 [3437]E(f335(f335(f86(a1),x34371),a89),x34371) % 209.33/209.62 [3440]E(f335(f335(f23(a927),x34401),x34401),f2(a927)) % 209.33/209.62 [3444]E(f335(f85(a1),f335(f85(a1),x34441)),x34441) % 209.33/209.62 [3445]E(f335(f40(a927),f335(f290(a927),x34451)),x34451) % 209.33/209.62 [3456]E(f335(f335(f87(a927),f84(a927)),x34561),x34561) % 209.33/209.62 [3457]E(f335(f335(f87(a1),f84(a1)),x34571),x34571) % 209.33/209.62 [3458]E(f335(f335(f86(a927),f2(a927)),x34581),x34581) % 209.33/209.62 [3459]E(f335(f335(f86(a1),f2(a1)),x34591),x34591) % 209.33/209.62 [3460]E(f335(f335(f242(a927),f2(a927)),x34601),x34601) % 209.33/209.62 [3466]E(f335(f335(f23(a927),f2(a927)),x34661),f2(a927)) % 209.33/209.62 [3467]E(f335(f335(f87(a927),f2(a927)),x34671),f2(a927)) % 209.33/209.62 [3468]E(f335(f335(f241(a927),f2(a927)),x34681),f2(a927)) % 209.33/209.62 [3469]E(f335(f335(f41(a1),f2(a1)),x34691),f2(a1)) % 209.33/209.62 [3479]E(f135(x34791,f335(f85(a1),x34791)),f139(a1,x34791)) % 209.33/209.62 [3484]E(f335(f310(a927,f2(a927)),x34841),f335(f290(a927),x34841)) % 209.33/209.62 [3485]E(f335(f335(f87(a1),a104),x34851),f335(f85(a1),x34851)) % 209.33/209.62 [3493]E(f335(a111,f335(f110(a1),x34931)),f335(f110(a927),x34931)) % 209.33/209.62 [3494]E(f335(a20,f335(f110(a106),x34941)),f335(f110(a927),x34941)) % 209.33/209.62 [3495]E(f335(f40(a927),f335(f309(a927),x34951)),f335(a119,x34951)) % 209.33/209.62 [3504]E(f335(f335(f86(a927),f84(a927)),x35041),f335(a119,x35041)) % 209.33/209.62 [3508]E(f335(f109(a1),f335(f107(a1),x35081)),f335(f107(a1),x35081)) % 209.33/209.62 [3509]E(f335(f81(a1),f335(f107(a1),x35091)),f335(f107(a1),x35091)) % 209.33/209.62 [3513]E(f335(f40(x35131),f195(f934(x35131,a922))),f2(a927)) % 209.33/209.62 [3515]E(f335(f335(f41(a927),x35151),f335(a119,f2(a927))),x35151) % 209.33/209.62 [3524]E(f50(a927,x35241,f335(a119,f2(a927))),f2(a927)) % 209.33/209.62 [3525]E(f50(a1,x35251,f335(f110(a1),a104)),f2(a1)) % 209.33/209.62 [3539]E(f335(f335(f41(a1),x35391),f335(f110(a1),a104)),f335(f85(a1),x35391)) % 209.33/209.62 [3543]E(f146(a927,f335(f310(a927,x35431),f2(a927))),f120(a927)) % 209.33/209.62 [3544]E(f335(f335(f86(a1),x35441),f84(a1)),f335(f335(f23(a1),x35441),a104)) % 209.33/209.62 [3545]E(f335(f335(f23(a1),x35451),f84(a1)),f335(f335(f86(a1),x35451),a104)) % 209.33/209.62 [3549]P106(f335(f335(f243(a927),x35491),x35491)) % 209.33/209.62 [3550]P106(f335(f335(f243(a1),x35501),x35501)) % 209.33/209.62 [3551]P106(f335(f335(f295(a927),x35511),x35511)) % 209.33/209.62 [3556]E(f335(f85(a1),f335(f110(a1),x35561)),f335(f110(a1),f335(f85(a1),x35561))) % 209.33/209.62 [3557]P106(f335(f66(a927),f335(f290(a927),x35571))) % 209.33/209.62 [3558]P106(f335(f66(a927),f335(f309(a927),x35581))) % 209.33/209.62 [3565]E(f168(x35651,f250(f934(x35651,a922))),f250(f934(f928(x35651),a922))) % 209.33/209.62 [3570]P106(f335(f335(f243(a927),f2(a927)),x35701)) % 209.33/209.62 [3580]E(f335(f335(f86(a927),f118(x35801)),f335(a119,f2(a927))),f118(f335(a119,x35801))) % 209.33/209.62 [3581]E(f335(f270(x35811),f335(f16(a922,x35811),a247)),f195(f934(x35811,a922))) % 209.33/209.62 [3582]E(f335(f270(x35821),f335(f16(a922,x35821),a194)),f250(f934(x35821,a922))) % 209.33/209.62 [3586]E(f335(f335(f317(a927),x35861),f335(f290(a927),x35861)),f335(f290(a927),f335(a119,x35861))) % 209.33/209.62 [3598]E(f335(f335(f86(a1),f84(a1)),f335(f107(a1),x35981)),f335(f107(a1),f335(a119,x35981))) % 209.33/209.62 [3600]E(f335(f335(f158(f928(x36001)),f120(x36001)),f120(f928(x36001))),f59(x36001,f120(x36001))) % 209.33/209.62 [3620]E(f195(f934(f933(x36201,x36201),a922)),f271(x36201,f195(f934(x36201,a922)))) % 209.33/209.62 [3621]E(f335(f316(x36211),f250(f934(x36211,a922))),f250(f934(f934(x36211,a922),a922))) % 209.33/209.62 [3622]E(f335(f85(f934(x36221,a922)),f195(f934(x36221,a922))),f250(f934(x36221,a922))) % 209.33/209.62 [3623]E(f335(f85(f934(x36231,a922)),f250(f934(x36231,a922))),f195(f934(x36231,a922))) % 209.33/209.62 [3625]P106(f335(f66(x36251),f195(f934(x36251,a922)))) % 209.33/209.62 [3627]E(f335(f310(a927,x36271),f335(a119,x36271)),f335(f335(f317(a927),x36271),f195(f934(a927,a922)))) % 209.33/209.62 [3628]E(f91(f933(a927,a927),f53(x36281,f2(a927))),f335(f335(f260(a927,a927),f2(a927)),x36281)) % 209.33/209.62 [3641]E(f335(f335(f317(a927),f335(a119,x36411)),f335(f309(a927),x36411)),f335(f309(a927),f335(a119,x36411))) % 209.33/209.62 [3645]P37(x36451,f195(f934(f933(x36451,x36451),a922))) % 209.33/209.62 [3646]P39(x36461,f195(f934(f933(x36461,x36461),a922))) % 209.33/209.62 [3649]P106(f335(f335(f243(a1),f2(a1)),f335(f107(a1),x36491))) % 209.33/209.62 [3656]E(f335(f335(f86(a927),f335(f196(a927),x36561)),f335(a119,f2(a927))),f335(f196(a927),f335(a119,x36561))) % 209.33/209.62 [3761]P40(f335(f318(a927,a1,f107(a1)),x37611)) % 209.33/209.62 [3799]P53(x37991,f195(f934(x37991,a922)),f195(f934(f933(x37991,x37991),a922))) % 209.33/209.62 [3822]E(f335(f335(f260(a1,a1),f335(f110(a1),a104)),f335(f335(f23(a1),x38221),f84(a1))),f55(f335(f110(a1),a104),x38221)) % 209.33/209.62 [3874]P60(x38741,f335(f16(f934(x38741,a922),x38741),f335(f16(a922,x38741),a247))) % 209.33/209.62 [3886]E(f298(a927,f295(a927),x38861,x38861),f335(f335(f317(a927),x38861),f195(f934(a927,a922)))) % 209.33/209.62 [4079]P106(f335(f335(f337(f934(f933(a927,a927),a922)),f336(x40791)),a105)) % 209.33/209.62 [4105]P106(f335(f335(f337(f934(f933(a927,a927),a922)),f335(a114,x41051)),a105)) % 209.33/209.62 [4238]P25(x42381,f934(x42381,a922),f335(f335(f7(x42381,f934(x42381,a922),f934(x42381,a922)),f317(x42381)),f195(f934(x42381,a922))),f250(f934(x42381,a922))) % 209.33/209.62 [4736]~E(f335(f335(f86(a1),x47361),x47361),a104) % 209.33/209.62 [4765]~E(f335(a3,f335(a119,f335(a20,x47651))),f2(a106)) % 209.33/209.62 [4771]~P106(f335(a200,f335(f107(a1),x47711))) % 209.33/209.62 [4774]~P106(f335(f335(f244(a927),x47741),x47741)) % 209.33/209.62 [4784]~P106(f335(f335(f243(a927),f335(a119,x47841)),x47841)) % 209.33/209.62 [3572]E(f335(a111,f335(f85(a1),f335(f107(a1),x35721))),f2(a927)) % 209.33/209.62 [3575]E(f335(f335(f86(a1),f335(f85(a1),x35751)),x35751),f2(a1)) % 209.33/209.62 [3579]E(f335(f40(a1),f335(f310(a1,f2(a1)),x35791)),f335(a111,x35791)) % 209.33/209.62 [3591]E(f335(f335(f252(a927),f335(a119,f2(a927))),x35911),f335(a119,f2(a927))) % 209.33/209.62 [3688]E(f335(f289(x36881),f195(f934(f933(x36881,x36881),a922))),f195(f934(x36881,a922))) % 209.33/209.62 [3696]E(f43(f934(x36961,a922),f195(f934(f934(x36961,a922),a922))),f250(f934(x36961,a922))) % 209.33/209.62 [3697]E(f43(f934(x36971,a922),f250(f934(f934(x36971,a922),a922))),f195(f934(x36971,a922))) % 209.33/209.62 [3698]E(f42(f934(x36981,a922),f195(f934(f934(x36981,a922),a922))),f195(f934(x36981,a922))) % 209.33/209.62 [3699]E(f42(f934(x36991,a922),f250(f934(f934(x36991,a922),a922))),f250(f934(x36991,a922))) % 209.33/209.62 [3703]P106(f335(f335(f295(a927),f335(a119,f2(a927))),x37031)) % 209.33/209.62 [3744]E(f335(f335(f317(f928(x37441)),f120(x37441)),f195(f934(f928(x37441),a922))),f168(x37441,f195(f934(x37441,a922)))) % 209.33/209.62 [3745]E(f335(f335(f317(f928(x37451)),f120(x37451)),f195(f934(f928(x37451),a922))),f169(x37451,f120(f934(x37451,a922)))) % 209.33/209.62 [3783]E(f335(f335(f86(a927),f4(x37831)),f335(a119,f2(a927))),f4(f335(a3,f335(a119,f335(a20,x37831))))) % 209.33/209.62 [3813]E(f335(f40(a1),f335(f318(a927,a1,f107(a1)),x38131)),f335(f40(a927),x38131)) % 209.33/209.62 [3814]P106(f335(f335(f243(a927),x38141),f335(f335(f87(a927),x38141),x38141))) % 209.33/209.62 [3852]E(f335(f318(a1,a927,a111),f311(a1,f2(a1),f335(f107(a1),x38521))),f335(f309(a927),x38521)) % 209.33/209.62 [3869]E(f335(f335(f41(a927),f335(a119,f2(a927))),f335(f110(a927),x38691)),f335(a111,f335(f335(f41(a1),f84(a1)),f335(f110(a1),x38691)))) % 209.33/209.62 [3871]E(f335(f179(a927),f146(a927,f335(f310(a927,f2(a927)),f335(a119,x38711)))),f335(f309(a927),x38711)) % 209.33/209.62 [3872]E(f335(f335(f86(a927),f335(f196(a106),x38721)),f335(a119,f2(a927))),f335(f196(a106),f335(a3,f335(a119,f335(a20,x38721))))) % 209.33/209.62 [3892]P39(x38921,f315(x38921,f195(f934(f933(x38921,x38921),a922)))) % 209.33/209.62 [3893]P52(x38931,f315(x38931,f195(f934(f933(x38931,x38931),a922)))) % 209.33/209.62 [3894]E(f335(f318(a1,a927,a111),f335(f318(a927,a1,f107(a1)),x38941)),x38941) % 209.33/209.62 [3925]E(f335(f335(f317(a927),f2(a927)),f335(f318(a927,a927,a119),f335(f290(a927),x39251))),f335(f290(a927),f335(a119,x39251))) % 209.33/209.62 [3931]P55(x39311,x39311,f315(x39311,f195(f934(f933(x39311,x39311),a922)))) % 209.33/209.62 [3937]P106(f335(a200,f335(f85(a1),f335(f107(a1),f335(a119,x39371))))) % 209.33/209.62 [3947]E(f335(f335(f23(f934(a927,a922)),f335(f291(a927),x39471)),f335(f335(f317(a927),x39471),f195(f934(a927,a922)))),f335(f291(a927),f335(a119,x39471))) % 209.33/209.62 [3964]E(f335(f335(f86(a1),f335(f335(f23(a1),a89),x39641)),f335(f335(f23(a1),a89),x39641)),f335(f335(f23(a1),a89),f335(f335(f86(a1),x39641),x39641))) % 209.33/209.62 [3979]E(f335(f335(f317(f934(x39791,a922)),f195(f934(x39791,a922))),f195(f934(f934(x39791,a922),a922))),f335(f316(x39791),f195(f934(x39791,a922)))) % 209.33/209.62 [4007]E(f335(f335(f23(f934(a927,a922)),f335(f312(a927),x40071)),f335(f335(f317(a927),f335(a119,x40071)),f195(f934(a927,a922)))),f335(f312(a927),f335(a119,x40071))) % 209.33/209.62 [4117]E(f335(f110(a927),f335(f335(f86(a1),x41171),x41171)),f335(f335(f92(a927,a927),f335(f110(a927),x41171)),f335(f335(f18(a927,a927,a927),f86(a927)),f5(a927)))) % 209.33/209.62 [4494]P14(x44941,f934(x44941,a922),f335(f335(f8(f934(x44941,a922),f934(f934(x44941,a922),f934(x44941,a922)),x44941),f335(f7(f934(x44941,a922),f934(x44941,a922),f934(x44941,a922)),f23(f934(x44941,a922)))),f335(f335(f7(x44941,f934(x44941,a922),f934(x44941,a922)),f317(x44941)),f195(f934(x44941,a922))))) % 209.33/209.62 [4581]E(f335(f270(f933(a1,a1)),f335(f265(a1,a1,a922),f335(f335(f8(f934(a1,a922),f934(a1,a922),a1),f335(f18(a1,a922,a922),f335(f335(f8(a922,f934(a922,a922),a1),a333),f335(f243(a1),x45811)))),f244(a1)))),f112(x45811)) % 209.33/209.62 [4614]E(f335(f270(f933(a1,a1)),f335(f265(a1,a1,a922),f335(f335(f18(a1,f934(a1,a922),f934(a1,a922)),f335(f335(f8(f934(a922,a922),f934(f934(a1,a922),f934(a1,a922)),a1),f8(a922,a922,a1)),f335(f335(f8(a922,f934(a922,a922),a1),a333),f335(f243(a1),x46141)))),f244(a1)))),f113(x46141)) % 209.33/209.62 [4667]E(f335(f270(f933(f934(x46671,a922),f934(x46671,a922))),f335(f265(f934(x46671,a922),f934(x46671,a922),a922),f335(f335(f7(f934(x46671,a922),f934(f934(x46671,a922),a922),f934(f934(x46671,a922),a922)),f335(f335(f8(f934(f934(x46671,a922),f934(a922,a922)),f934(f934(f934(x46671,a922),a922),f934(f934(x46671,a922),a922)),f934(x46671,a922)),f18(f934(x46671,a922),a922,a922)),f335(f335(f8(f934(f934(x46671,a922),a922),f934(f934(x46671,a922),f934(a922,a922)),f934(x46671,a922)),f335(f8(a922,f934(a922,a922),f934(x46671,a922)),a333)),f244(f934(x46671,a922))))),f66(x46671)))),f322(x46671)) % 209.33/209.62 [4788]~P106(f335(f66(f928(x47881)),f250(f934(f928(x47881),a922)))) % 209.33/209.62 [4800]~P106(f335(f335(f243(a1),f2(a1)),f335(f85(a1),f335(f107(a1),f335(a119,x48001))))) % 209.33/209.62 [3723]E(f335(f335(f23(a1),f335(f335(f86(a1),x37231),a104)),a104),x37231) % 209.33/209.62 [3737]E(f335(f179(a927),f146(a927,f335(f310(a927,f2(a927)),x37371))),f335(f290(a927),x37371)) % 209.33/209.62 [3986]E(f335(f335(f86(a1),f335(f335(f86(a1),f84(a1)),x39861)),x39861),f335(f335(f23(a1),f335(f335(f86(a1),x39861),x39861)),a104)) % 209.33/209.62 [4035]E(f335(f294(x40351,x40351),f315(x40351,f195(f934(f933(x40351,x40351),a922)))),f315(x40351,f195(f934(f933(x40351,x40351),a922)))) % 209.33/209.62 [4082]P106(f335(f335(f243(a927),x40821),f335(f335(f87(a927),x40821),f335(f335(f87(a927),x40821),x40821)))) % 209.33/209.62 [4355]P106(f335(f66(a927),f335(f270(a927),f335(f335(f7(a927,a927,a922),f243(a927)),x43551)))) % 209.33/209.62 [4356]P106(f335(f66(a927),f335(f270(a927),f335(f335(f7(a927,a927,a922),f244(a927)),x43561)))) % 209.33/209.62 [4630]E(f335(f270(f933(x46301,x46301)),f335(f335(f8(f934(x46301,a922),a922,f933(x46301,x46301)),f93(x46301)),f335(f335(f7(f933(x46301,x46301),f934(x46301,f933(x46301,x46301)),f934(x46301,a922)),f335(f335(f8(f934(f933(x46301,x46301),a922),f934(f934(x46301,f933(x46301,x46301)),f934(x46301,a922)),f933(x46301,x46301)),f8(f933(x46301,x46301),a922,x46301)),a332)),f335(f335(f18(x46301,x46301,f933(x46301,x46301)),f260(x46301,x46301)),f5(x46301))))),f315(x46301,f195(f934(f933(x46301,x46301),a922)))) % 209.33/209.62 [4790]~E(f335(f335(f23(a1),f335(f335(f86(a1),x47901),x47901)),a104),a89) % 209.33/209.62 [4792]~E(f335(f335(f86(a1),f335(f335(f86(a1),f84(a1)),x47921)),x47921),f2(a1)) % 209.33/209.62 [4128]E(f335(f335(f86(a1),f335(f335(f23(a1),a104),x41281)),f335(f335(f23(a1),a104),x41281)),f335(f335(f23(a1),a104),f335(f335(f23(a1),f335(f335(f86(a1),x41281),x41281)),a104))) % 209.33/209.62 [4246]E(f335(f335(f23(a1),f335(f335(f86(a1),f335(f335(f23(a1),a104),x42461)),f335(f335(f23(a1),a104),x42461))),a104),f335(f335(f23(a1),a104),f335(f335(f86(a1),x42461),x42461))) % 209.33/209.62 [4278]E(f335(f335(f23(a1),f335(f335(f86(a1),f335(f335(f86(a1),x42781),a104)),f335(f335(f86(a1),x42781),a104))),a104),f335(f335(f86(a1),f335(f335(f86(a1),x42781),x42781)),a104)) % 209.33/209.62 [4316]E(f335(f335(f23(a1),f335(f335(f86(a1),f335(f335(f23(a1),a104),x43161)),f335(f335(f23(a1),a104),x43161))),a104),f335(f335(f23(a1),a89),f335(f335(f23(a1),f335(f335(f86(a1),x43161),x43161)),a104))) % 209.33/209.62 [4415]E(f335(a95,f335(f293(f933(a927,a927),f933(a927,a927),a115),f335(f335(f317(f933(a927,a927)),f335(f335(f260(a927,a927),x44151),f2(a927))),f195(f934(f933(a927,a927),a922))))),f335(f107(a1),x44151)) % 209.33/209.62 [4425]E(f335(a95,f335(f293(f933(a927,a927),f933(a927,a927),a115),f335(f335(f317(f933(a927,a927)),f335(f335(f260(a927,a927),f399(x44251)),f435(x44251))),f195(f934(f933(a927,a927),a922))))),x44251) % 209.33/209.62 [4458]E(f335(f270(a1),f335(f335(f18(a1,a922,a922),f335(f335(f8(a922,f934(a922,a922),a1),a333),f335(f243(a1),f2(a1)))),x44581)),f335(f318(a927,a1,f107(a1)),f335(f270(a927),f335(f335(f8(a1,a922,a927),x44581),f107(a1))))) % 209.33/209.62 [4502]P40(f335(f270(a1),f335(f335(f18(a1,a922,a922),f335(f335(f8(a922,f934(a922,a922),a1),a333),f335(f243(a1),f2(a1)))),x45021))) % 209.33/209.62 [4522]P106(f335(f335(f337(f933(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922))),f335(f335(f260(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922)),x45221),f195(f934(f933(a927,a927),a922)))),a77)) % 209.33/209.62 [4527]E(f335(f318(a1,a927,a111),f335(f270(a1),f335(f335(f18(a1,a922,a922),f335(f335(f8(a922,f934(a922,a922),a1),a333),f335(f243(a1),f2(a1)))),f335(f335(f8(a927,a922,a1),x45271),a111)))),f335(f270(a927),x45271)) % 209.33/209.62 [4684]E(f320(a927,f335(f335(f44(f933(a927,a927),f934(a927,a922)),f335(a114,x46841)),f335(f265(a927,a927,f934(a927,a922)),f335(f335(f7(a927,f934(a927,a922),f934(a927,f934(a927,a922))),f335(f335(f8(f934(a927,f934(f934(a927,a922),f934(a927,a922))),f934(f934(a927,a922),f934(a927,f934(a927,a922))),a927),f7(a927,f934(a927,a922),f934(a927,a922))),f335(f335(f8(f934(a927,a927),f934(a927,f934(f934(a927,a922),f934(a927,a922))),a927),f335(f8(a927,f934(f934(a927,a922),f934(a927,a922)),a927),f317(a927))),f23(a927)))),f195(f934(a927,a922)))))),f335(a111,x46841)) % 209.33/209.62 [4175]E(f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),x41751),x41751)),a104)),a104),f335(f335(f86(a1),x41751),x41751)) % 209.33/209.62 [4225]E(f335(f335(f23(a1),f335(f335(f23(a1),f335(f335(f86(a1),x42251),x42251)),a104)),a104),f335(f335(f86(a1),f335(f335(f23(a1),x42251),a104)),f335(f335(f23(a1),x42251),a104))) % 209.33/209.62 [4431]E(f335(f335(f23(a1),f335(f335(f86(a1),f335(f335(f86(a1),f335(f85(a1),x44311)),a104)),f335(f335(f86(a1),f335(f85(a1),x44311)),a104))),a104),f335(f85(a1),f335(f335(f23(a1),f335(f335(f86(a1),x44311),x44311)),a104))) % 209.33/209.62 [4475]E(f335(f335(f86(a927),x44751),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),f335(a119,f335(a119,x44751))) % 209.33/209.62 [4476]E(f335(f335(f87(a927),x44761),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),f335(f335(f86(a927),x44761),x44761)) % 209.33/209.62 [4477]E(f335(f335(f41(a927),f335(f335(f86(a927),x44771),x44771)),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),x44771) % 209.33/209.62 [4555]E(f50(a927,f335(a119,f335(a119,x45551)),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),f50(a927,x45551,f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))) % 209.33/209.62 [4698]E(f335(a95,f335(f335(f44(f933(a927,a927),f934(f933(a927,a927),a922)),f335(a114,x46981)),f335(f265(a927,a927,f934(f933(a927,a927),a922)),f335(f335(f8(f934(a927,f934(f933(a927,a927),a922)),f934(a927,f934(f933(a927,a927),a922)),a927),f335(f8(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922),a927),f293(f933(a927,a927),f933(a927,a927),a115))),f335(f335(f7(a927,f934(f933(a927,a927),a922),f934(a927,f934(f933(a927,a927),a922))),f335(f335(f8(f934(a927,f934(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922))),f934(f934(f933(a927,a927),a922),f934(a927,f934(f933(a927,a927),a922))),a927),f7(a927,f934(f933(a927,a927),a922),f934(f933(a927,a927),a922))),f335(f335(f8(f934(a927,f933(a927,a927)),f934(a927,f934(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922))),a927),f335(f8(f933(a927,a927),f934(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922)),a927),f317(f933(a927,a927)))),f335(f7(a927,a927,f933(a927,a927)),f260(a927,a927))))),f195(f934(f933(a927,a927),a922))))))),f335(f85(a1),x46981)) % 209.33/209.62 [4550]E(f335(f335(f86(a927),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),x45501),f335(a119,f335(a119,x45501))) % 209.33/209.62 [4551]E(f335(f335(f87(a927),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),x45511),f335(f335(f86(a927),x45511),x45511)) % 209.33/209.62 [4587]E(f335(f335(f41(a927),f335(a119,f335(a119,x45871))),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),f335(a119,f335(f335(f41(a927),x45871),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))))) % 209.33/209.62 [4637]E(f335(f335(f86(a927),f335(f110(a927),f335(f335(f23(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))),a104))),x46371),f335(a119,f335(a119,f335(a119,x46371)))) % 209.33/209.62 [4705]E(f335(f265(a1,a1,f933(a1,a1)),f335(f335(f18(a1,f934(a1,f933(a1,a1)),f934(a1,f933(a1,a1))),f335(f335(f8(f934(a1,f934(f933(a1,a1),f933(a1,a1))),f934(f934(a1,f933(a1,a1)),f934(a1,f933(a1,a1))),a1),f18(a1,f933(a1,a1),f933(a1,a1))),f335(f335(f8(f934(a1,f933(a1,a1)),f934(a1,f934(f933(a1,a1),f933(a1,a1))),a1),f335(f18(a1,f933(a1,a1),f934(f933(a1,a1),f933(a1,a1))),f335(f335(f8(a922,f934(f933(a1,a1),f934(f933(a1,a1),f933(a1,a1))),a1),f103(f933(a1,a1))),f335(f335(f8(a1,a922,a1),f335(f243(a1),f2(a1))),f335(f335(f7(a1,a1,a1),f23(a1)),x47051))))),f335(f335(f7(a1,f934(a1,a1),f934(a1,f933(a1,a1))),f335(f335(f8(f934(a1,f933(a1,a1)),f934(f934(a1,a1),f934(a1,f933(a1,a1))),a1),f8(a1,f933(a1,a1),a1)),f335(f335(f8(a1,f934(a1,f933(a1,a1)),a1),f260(a1,a1)),f335(f335(f7(a1,a1,a1),f335(f335(f8(a1,f934(a1,a1),a1),f86(a1)),f335(f87(a1),f335(f110(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))))),f84(a1))))),f335(f335(f7(a1,a1,a1),f23(a1)),x47051))))),f335(f335(f8(a1,f934(a1,f933(a1,a1)),a1),f260(a1,a1)),f335(f87(a1),f335(f110(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))))),f48(x47051)) % 209.33/209.62 [3397]P105(f933(x33971,x33972)) % 209.33/209.62 [3398]P105(f935(x33981,x33982)) % 209.33/209.62 [3399]P105(f932(x33991,x33992)) % 209.33/209.62 [3417]P13(a1,f185(x34171,x34172)) % 209.33/209.62 [3418]P37(x34181,f160(x34181,x34182)) % 209.33/209.62 [3419]P38(x34191,f271(x34191,x34192)) % 209.33/209.62 [3420]P38(x34201,f315(x34201,x34202)) % 209.33/209.62 [3421]P39(x34211,f271(x34211,x34212)) % 209.33/209.62 [3422]P52(x34221,f271(x34221,x34222)) % 209.33/209.62 [3486]P31(x34861,x34862,f120(x34861)) % 209.33/209.62 [3519]P53(x35191,x35192,f271(x35191,x35192)) % 209.33/209.62 [3520]P55(x35201,x35201,f271(x35201,x35202)) % 209.33/209.62 [3786]P25(x37861,x37861,f5(x37861),x37862) % 209.33/209.62 [3787]P25(x37871,x37871,f25(x37871),x37872) % 209.33/209.62 [3795]P32(x37951,x37952,f120(x37951),f120(x37951)) % 209.33/209.62 [3803]P25(f928(x38031),f928(x38031),f175(x38031),x38032) % 209.33/209.62 [4215]P26(x42151,x42151,f25(x42151),x42152,x42152) % 209.33/209.62 [4711]~E(f34(x47111),f33(x47112)) % 209.33/209.62 [4717]~E(f31(x47171,x47172),a26) % 209.33/209.62 [4718]~E(f32(x47181,x47182),a26) % 209.33/209.62 [4719]~E(f27(x47191,x47192),a26) % 209.33/209.62 [4748]~P33(x47481,x47482,f120(x47481)) % 209.33/209.62 [4749]~P35(x47491,x47492,f120(x47491)) % 209.33/209.62 [3381]E(f335(f270(x33811),x33812),x33812) % 209.33/209.62 [3382]E(f335(f5(x33821),x33822),x33822) % 209.33/209.62 [3384]E(f335(f25(x33841),x33842),x33842) % 209.33/209.62 [3394]E(f335(f198(x33941),x33942),f122(x33941)) % 209.33/209.62 [3404]E(f30(f27(x34041,x34042)),f2(a927)) % 209.33/209.62 [3415]E(f91(x34151,f335(a332,x34152)),x34152) % 209.33/209.62 [3416]E(f96(x34161,f335(a332,x34162)),x34162) % 209.33/209.62 [3438]E(f335(f196(a924),f27(x34381,x34382)),f2(a927)) % 209.33/209.62 [3439]E(f335(f132(x34391,x34392),f126(x34391)),f2(a927)) % 209.33/209.62 [3442]E(f335(f143(x34421,x34422),f120(x34421)),f120(x34421)) % 209.33/209.62 [3462]E(f315(x34621,f315(x34621,x34622)),f315(x34621,x34622)) % 209.33/209.62 [3463]E(f159(x34631,f159(x34631,x34632)),f159(x34631,x34632)) % 209.33/209.62 [3481]E(f335(f335(f141(x34811),x34812),f120(x34811)),x34812) % 209.33/209.62 [3487]E(f180(x34871,x34872,f120(x34871)),x34872) % 209.33/209.62 [3488]E(f123(x34881,f126(x34881),x34882),x34882) % 209.33/209.62 [3489]E(f180(x34891,f120(x34891),x34892),x34892) % 209.33/209.62 [3490]E(f176(x34901,f2(a927),x34902),f120(x34901)) % 209.33/209.62 [3496]E(f335(f335(f182(x34961),x34962),f120(x34961)),f120(x34961)) % 209.33/209.62 [3497]E(f335(f335(f145(x34971),x34972),f120(x34971)),f120(x34971)) % 209.33/209.62 [3499]E(f162(x34991,x34992,f120(x34991)),f2(a927)) % 209.33/209.62 [3501]E(f177(x35011,x35012,f120(x35011)),f120(x35011)) % 209.33/209.62 [3502]E(f184(x35021,x35022,f120(x35021)),f120(x35021)) % 209.33/209.62 [3503]E(f183(x35031,f120(x35031),x35032),f120(x35031)) % 209.33/209.62 [3507]E(f335(f179(x35071),f159(x35071,x35072)),f335(f179(x35071),x35072)) % 209.33/209.62 [3510]E(f335(f292(x35101,x35101),f271(x35101,x35102)),x35102) % 209.33/209.62 [3511]E(f335(f272(x35111,x35111),f271(x35111,x35112)),x35112) % 209.33/209.62 [3518]E(f335(f294(x35181,x35181),f271(x35181,x35182)),f271(x35181,x35182)) % 209.33/209.62 [3531]E(f315(f928(x35311),f164(x35311,x35312)),f165(x35311,f315(x35311,x35312))) % 209.33/209.62 [3533]P106(f335(f144(a1),f185(x35331,x35332))) % 209.33/209.62 [3541]E(f335(f292(x35411,x35411),f315(x35411,x35412)),f250(f934(x35411,a922))) % 209.33/209.62 [3542]E(f335(f272(x35421,x35421),f315(x35421,x35422)),f250(f934(x35421,a922))) % 209.33/209.62 [3546]P106(f335(f144(x35461),f159(x35461,x35462))) % 209.33/209.62 [3548]P106(f335(f167(x35481,x35482),f120(x35481))) % 209.33/209.62 [3554]E(f335(f179(a1),f185(x35541,x35542)),f311(a1,x35541,x35542)) % 209.33/209.62 [3568]P56(x35681,f195(f934(x35681,a922)),x35682) % 209.33/209.62 [3573]E(f335(f264(a1,a1),f51(x35731,x35732)),f50(a1,x35731,x35732)) % 209.33/209.62 [3574]E(f335(f310(a927,x35741),f335(a119,x35742)),f311(a927,x35741,x35742)) % 209.33/209.62 [3590]E(f335(f335(f158(x35901),x35902),f120(x35901)),f147(x35901,x35902,f120(x35901))) % 209.33/209.62 [3602]E(f311(a927,f335(a119,x36021),x36022),f313(a927,x36021,x36022)) % 209.33/209.62 [3605]P53(x36051,f250(f934(x36051,a922)),f315(x36051,x36052)) % 209.33/209.62 [3668]E(f335(f335(f23(a927),x36681),f335(a119,x36682)),f335(f40(a927),f314(a927,x36682,x36681))) % 209.33/209.62 [3724]E(f173(x37241,x37242,f120(x37241)),f335(f335(f260(f928(x37241),f928(x37241)),f120(x37241)),f120(x37241))) % 209.33/209.62 [3742]E(f335(f265(x37421,x37422,f933(x37421,x37422)),f260(x37421,x37422)),f25(f933(x37421,x37422))) % 209.33/209.62 [3746]P106(f335(f335(f337(f928(x37461)),f120(x37461)),f168(x37461,x37462))) % 209.33/209.62 [3747]E(f335(f196(f928(x37471)),f121(x37471,x37472)),f335(f335(f23(a927),f335(f196(f928(x37471)),x37472)),f84(a927))) % 209.33/209.62 [3755]P106(f335(f66(a927),f314(a927,x37551,x37552))) % 209.33/209.62 [3756]P106(f335(f66(a927),f313(a927,x37561,x37562))) % 209.33/209.62 [3757]P106(f335(f66(a927),f311(a927,x37571,x37572))) % 209.33/209.62 [3758]P106(f335(f66(a1),f314(a1,x37581,x37582))) % 209.33/209.62 [3759]P106(f335(f66(a1),f313(a1,x37591,x37592))) % 209.33/209.62 [3760]P106(f335(f66(a1),f311(a1,x37601,x37602))) % 209.33/209.62 [3868]E(f335(f318(a927,a927,a119),f311(a927,x38681,x38682)),f311(a927,f335(a119,x38681),f335(a119,x38682))) % 209.33/209.62 [3888]E(f335(f335(f297(x38881,x38881,x38881),f315(x38881,x38882)),f315(x38881,x38882)),f315(x38881,x38882)) % 209.33/209.62 [3923]E(f335(f335(f260(a1,a1),f335(f335(f41(a1),x39231),x39232)),f50(a1,x39231,x39232)),f51(x39231,x39232)) % 209.33/209.62 [3924]E(f335(f335(f260(a106,a106),f335(f335(f41(a106),x39241),x39242)),f50(a106,x39241,x39242)),f21(x39241,x39242)) % 209.33/209.62 [3951]E(f335(f335(f260(a927,a927),f335(f335(f41(a927),x39511),x39512)),f50(a927,x39511,x39512)),f91(f933(a927,a927),f53(x39511,x39512))) % 209.33/209.62 [4003]P106(f335(f335(f244(a927),f335(f335(f23(a927),x40031),x40032)),f335(a119,x40031))) % 209.33/209.62 [4053]P38(x40531,f335(f335(f297(x40531,x40531,x40531),x40532),f315(x40531,x40532))) % 209.33/209.62 [4104]E(f335(f335(f86(a1),f335(f335(f87(a1),x41041),f335(f335(f41(a1),x41042),x41041))),f50(a1,x41042,x41041)),x41042) % 209.33/209.62 [4108]E(f335(f335(f44(a927,f934(f933(f928(x41081),f928(x41081)),a922)),f250(f934(a927,a922))),f150(x41081,x41082)),f152(x41081,x41082)) % 209.33/209.62 [4332]P106(f335(f335(f337(f933(f928(x43321),f928(x43321))),f335(f335(f260(f928(x43321),f928(x43321)),f120(x43321)),f120(x43321))),f165(x43321,x43322))) % 209.33/209.62 [4443]E(f261(x44431,x44431,x44431,a332,f261(x44431,x44431,x44431,x44432,a332)),x44432) % 209.33/209.62 [4487]E(f266(x44871,x44871,x44872,x44872,f5(x44871),f5(x44872)),f25(f933(x44871,x44872))) % 209.33/209.62 [4489]E(f266(x44891,x44891,x44892,x44892,f25(x44891),f25(x44892)),f25(f933(x44891,x44892))) % 209.33/209.62 [3480]E(f335(f175(x34801),f335(f175(x34801),x34802)),x34802) % 209.33/209.62 [3482]E(f335(f335(f145(x34821),f2(a927)),x34822),x34822) % 209.33/209.62 [3498]E(f335(f335(f182(x34981),f2(a927)),x34982),f120(x34981)) % 209.33/209.62 [3505]E(f335(f335(f141(x35051),f120(x35051)),x35052),x35052) % 209.33/209.62 [3514]E(f42(f934(x35141,a922),f335(f316(x35141),x35142)),x35142) % 209.33/209.62 [3516]E(f335(f179(x35161),f335(f174(x35161),x35162)),f335(f179(x35161),x35162)) % 209.33/209.62 [3517]E(f335(f179(x35171),f335(f175(x35171),x35172)),f335(f179(x35171),x35172)) % 209.33/209.62 [3522]E(f335(f335(f23(a106),x35221),x35222),f335(f335(a24,x35221),x35222)) % 209.33/209.62 [3535]E(f335(f335(f87(a927),x35351),x35352),f335(f335(f87(a927),x35352),x35351)) % 209.33/209.62 [3536]E(f335(f335(f87(a1),x35361),x35362),f335(f335(f87(a1),x35362),x35361)) % 209.33/209.62 [3537]E(f335(f335(f86(a927),x35371),x35372),f335(f335(f86(a927),x35372),x35371)) % 209.33/209.62 [3538]E(f335(f335(f86(a1),x35381),x35382),f335(f335(f86(a1),x35382),x35381)) % 209.33/209.62 [3560]E(f335(f335(f190(x35601,x35601),f2(a927)),x35602),f25(x35601)) % 209.33/209.62 [3561]E(f335(f196(f928(x35611)),f335(f174(x35611),x35612)),f335(f196(f928(x35611)),x35612)) % 209.33/209.62 [3562]E(f335(f196(f928(x35621)),f335(f175(x35621),x35622)),f335(f196(f928(x35621)),x35622)) % 209.33/209.62 [3563]E(f183(x35631,x35632,f195(f934(a927,a922))),f120(x35631)) % 209.33/209.62 [3564]E(f335(f335(f161(x35641,x35641),f5(x35641)),x35642),x35642) % 209.33/209.62 [3566]E(f335(f259(a1,a1),f51(x35661,x35662)),f335(f335(f41(a1),x35661),x35662)) % 209.33/209.62 [3583]E(f335(f196(f928(x35831)),f159(x35831,x35832)),f335(f40(x35831),f335(f179(x35831),x35832))) % 209.33/209.62 [3584]E(f30(f31(x35841,x35842)),f335(f335(f86(a927),f30(x35842)),f335(a119,f2(a927)))) % 209.33/209.62 [3585]E(f335(f289(x35851),f335(f294(x35851,x35851),x35852)),f335(f289(x35851),x35852)) % 209.33/209.62 [3589]P106(f335(f66(x35891),f335(f179(x35891),x35892))) % 209.33/209.62 [3597]E(f335(f335(f86(a1),x35971),f335(f85(a1),x35972)),f335(f335(f23(a1),x35971),x35972)) % 209.33/209.62 [3604]P24(x36041,x36042,f195(f934(f926(x36041),a922))) % 209.33/209.62 [3606]E(f335(f318(x36061,x36061,f5(x36061)),x36062),x36062) % 209.33/209.62 [3607]E(f335(f318(x36071,x36071,f25(x36071)),x36072),x36072) % 209.33/209.62 [3608]E(f335(f319(x36081,x36081,f5(x36081)),x36082),x36082) % 209.33/209.62 [3609]E(f335(f319(x36091,x36091,f25(x36091)),x36092),x36092) % 209.33/209.62 [3610]P106(f335(f250(f934(x36101,a922)),x36102)) % 209.33/209.62 [3612]E(f335(f40(a927),f335(f310(a927,x36121),x36122)),f335(f335(f23(a927),x36122),x36121)) % 209.33/209.62 [3613]E(f335(f310(a927,f335(a119,x36131)),x36132),f314(a927,x36131,x36132)) % 209.33/209.62 [3626]E(f335(f335(f317(x36261),x36262),f195(f934(x36261,a922))),f335(f270(x36261),f335(a332,x36262))) % 209.33/209.62 [3631]E(f315(x36311,f335(f294(x36311,x36311),x36312)),f335(f294(x36311,x36311),f315(x36311,x36312))) % 209.33/209.62 [3636]E(f335(f335(f86(a927),f335(a119,x36361)),x36362),f335(f335(f86(a927),x36361),f335(a119,x36362))) % 209.33/209.62 [3637]E(f335(f335(f23(a927),f335(a119,x36371)),f335(a119,x36372)),f335(f335(f23(a927),x36371),x36372)) % 209.33/209.62 [3643]E(f60(x36431,f2(a927),x36432),f335(f335(f158(f928(x36431)),f120(x36431)),f120(f928(x36431)))) % 209.33/209.62 [3644]E(f335(f40(a927),f313(a927,x36441,x36442)),f335(f335(f23(a927),x36442),x36441)) % 209.33/209.62 [3653]P37(x36531,f335(f335(f296(a927,x36531),a248),x36532)) % 209.33/209.62 [3655]P13(a927,f146(a927,f335(f310(a927,x36551),x36552))) % 209.33/209.62 [3657]P106(f335(f66(a927),f335(f310(a927,x36571),x36572))) % 209.33/209.62 [3658]P106(f335(f66(a1),f335(f310(a1,x36581),x36582))) % 209.33/209.62 [3661]E(f335(f294(f928(x36611),f928(x36611)),f164(x36611,x36612)),f164(x36611,f335(f294(x36611,x36611),x36612))) % 209.33/209.62 [3662]E(f335(f196(a924),f31(x36621,x36622)),f335(f335(f86(a927),f335(f196(a924),x36622)),f335(a119,f2(a927)))) % 209.33/209.62 [3664]E(f335(f310(a1,x36641),f335(f335(f86(a1),x36642),f84(a1))),f311(a1,x36641,x36642)) % 209.33/209.62 [3667]E(f335(f335(f41(a1),f335(f85(a1),x36671)),f335(f85(a1),x36672)),f335(f335(f41(a1),x36671),x36672)) % 209.33/209.62 [3675]E(f335(f335(f190(f933(x36751,x36751),a922),f84(a927)),x36752),x36752) % 209.33/209.62 [3677]E(f335(f335(f23(f934(x36771,a922)),x36772),f195(f934(x36771,a922))),x36772) % 209.33/209.62 [3678]E(f335(f335(f108(f934(x36781,a922)),x36782),f250(f934(x36781,a922))),x36782) % 209.33/209.62 [3679]E(f335(f335(f117(f934(x36791,a922)),x36792),f195(f934(x36791,a922))),x36792) % 209.33/209.62 [3680]E(f335(f259(a927,a927),f91(f933(a927,a927),f53(x36801,x36802))),f335(f335(f41(a927),x36801),x36802)) % 209.33/209.62 [3687]E(f311(a1,f335(f335(f86(a1),x36871),f84(a1)),x36872),f313(a1,x36871,x36872)) % 209.33/209.62 [3692]E(f335(f264(a927,a927),f91(f933(a927,a927),f53(x36921,x36922))),f50(a927,x36921,x36922)) % 209.33/209.62 [3702]P106(f335(f335(f337(x37021),x37022),f250(f934(x37021,a922)))) % 209.33/209.62 [3707]E(f335(f335(f23(a927),f335(a119,x37071)),x37072),f335(f40(a927),f311(a927,x37072,x37071))) % 209.33/209.62 [3733]E(f335(f335(f23(f934(x37331,a922)),x37332),f250(f934(x37331,a922))),f195(f934(x37331,a922))) % 209.33/209.62 [3734]E(f335(f335(f108(f934(x37341,a922)),x37342),f195(f934(x37341,a922))),f195(f934(x37341,a922))) % 209.33/209.62 [3735]E(f335(f335(f117(f934(x37351,a922)),x37352),f250(f934(x37351,a922))),f250(f934(x37351,a922))) % 209.33/209.62 [3750]E(f50(a1,f335(f85(a1),x37501),f335(f85(a1),x37502)),f335(f85(a1),f50(a1,x37501,x37502))) % 209.33/209.62 [3751]E(f50(a1,f335(f107(a1),x37511),f335(f107(a1),x37512)),f335(f107(a1),f50(a927,x37511,x37512))) % 209.33/209.62 [3762]E(f335(f196(f928(x37621)),f335(f178(x37621),x37622)),f335(f335(f23(a927),f335(f196(f928(x37621)),x37622)),f84(a927))) % 209.33/209.62 [3788]E(f335(f335(f41(a1),f50(a1,x37881,x37882)),x37882),f2(a1)) % 209.33/209.62 [3797]E(f335(a3,f50(a927,f335(a20,x37971),f335(a20,x37972))),f50(a106,x37971,x37972)) % 209.33/209.62 [3835]E(f335(a3,f335(f335(f23(a927),f335(a20,x38351)),f335(a20,x38352))),f335(f335(f23(a106),x38351),x38352)) % 209.33/209.62 [3836]E(f335(a3,f335(f335(f87(a927),f335(a20,x38361)),f335(a20,x38362))),f335(f335(f87(a106),x38361),x38362)) % 209.33/209.62 [3837]E(f335(a3,f335(f335(f86(a927),f335(a20,x38371)),f335(a20,x38372))),f335(f335(f86(a106),x38371),x38372)) % 209.33/209.62 [3838]E(f335(a3,f335(f335(f41(a927),f335(a20,x38381)),f335(a20,x38382))),f335(f335(f41(a106),x38381),x38382)) % 209.33/209.62 [3846]E(f335(f318(a927,a927,a119),f335(f310(a927,x38461),x38462)),f335(f310(a927,f335(a119,x38461)),f335(a119,x38462))) % 209.33/209.62 [3873]P106(f335(f53(x38731,x38732),f91(f933(a927,a927),f53(x38731,x38732)))) % 209.33/209.62 [3897]E(f335(f335(f86(a927),f335(f335(f86(a927),f30(x38971)),f30(x38972))),f335(a119,f2(a927))),f30(f32(x38971,x38972))) % 209.33/209.62 [3898]E(f50(a927,f335(a119,f50(a927,x38981,x38982)),x38982),f50(a927,f335(a119,x38981),x38982)) % 209.33/209.62 [3910]E(f335(f335(f45(f934(x39101,a922),f934(x39101,a922)),x39102),f5(f934(x39101,a922))),f43(f934(x39101,a922),x39102)) % 209.33/209.62 [3911]E(f335(f335(f44(f934(x39111,a922),f934(x39111,a922)),x39112),f5(f934(x39111,a922))),f42(f934(x39111,a922),x39112)) % 209.33/209.62 [3912]E(f335(f318(f928(x39121),f934(x39121,a922),f179(x39121)),f335(f179(f928(x39121)),f59(x39121,x39122))),f335(f316(x39121),f335(f179(x39121),x39122))) % 209.33/209.62 [3916]P106(f335(f335(f337(f934(x39161,a922)),x39162),f335(f316(x39161),x39162))) % 209.33/209.62 [3922]E(f50(a1,f335(f85(a1),f50(a1,x39221,x39222)),x39222),f50(a1,f335(f85(a1),x39221),x39222)) % 209.33/209.62 [3933]P106(f335(f335(f243(f934(x39331,a922)),x39332),f250(f934(x39331,a922)))) % 209.33/209.62 [3935]E(f335(f335(f297(x39351,x39351,x39351),f315(x39351,x39352)),f315(x39351,f315(x39351,x39352))),f315(x39351,x39352)) % 209.33/209.62 [3936]E(f335(f335(f117(f934(x39361,a922)),f335(f272(x39361,x39361),x39362)),f335(f292(x39361,x39361),x39362)),f335(f289(x39361),x39362)) % 209.33/209.62 [3957]E(f321(x39571,x39572,f250(f934(x39571,a922)),f250(f934(x39572,a922))),f250(f934(f935(x39571,x39572),a922))) % 209.33/209.62 [4008]P106(f335(f335(f243(a927),f50(a927,x40081,x40082)),x40081)) % 209.33/209.62 [4033]P106(f335(f335(f243(a1),f335(f85(a1),f335(f107(a1),x40331))),f335(f107(a1),x40332))) % 209.33/209.62 [4058]P106(f335(f335(f337(f934(x40581,a922)),f195(f934(x40581,a922))),f335(f316(x40581),x40582))) % 209.33/209.62 [4063]E(f315(x40631,f335(f335(f297(x40631,x40631,x40631),x40632),f315(x40631,x40632))),f315(x40631,x40632)) % 209.33/209.62 [4066]E(f335(f335(f297(x40661,x40661,x40661),f315(x40661,x40662)),x40662),f335(f335(f297(x40661,x40661,x40661),x40662),f315(x40661,x40662))) % 209.33/209.62 [4068]E(f335(a111,f335(f335(f86(a1),f335(f335(f23(a1),x40681),x40682)),f84(a1))),f335(f40(a1),f311(a1,x40682,x40681))) % 209.33/209.62 [4083]E(f335(f292(x40831,x40831),f335(f335(f297(x40831,x40831,x40831),x40832),f315(x40831,x40832))),f335(f292(x40831,x40831),x40832)) % 209.33/209.62 [4084]E(f335(f272(x40841,x40841),f335(f335(f297(x40841,x40841,x40841),x40842),f315(x40841,x40842))),f335(f272(x40841,x40841),x40842)) % 209.33/209.62 [4100]E(f335(f335(f86(a927),f335(f335(f86(a927),f335(f196(a924),x41001)),f335(f196(a924),x41002))),f335(a119,f2(a927))),f335(f196(a924),f32(x41001,x41002))) % 209.33/209.62 [4103]E(f335(f149(f928(x41031),f928(x41031),f141(x41031),f120(x41031)),f176(f928(x41031),x41032,f120(x41031))),f120(x41031)) % 209.33/209.62 [4112]P25(a927,a927,f335(f335(f7(a927,a927,a927),f86(a927)),x41121),x41122) % 209.33/209.62 [4114]P13(a927,f335(f175(a927),f335(f335(f161(f928(x41141),a927),f196(f928(x41141))),f186(x41141,x41142)))) % 209.33/209.62 [4147]P52(x41471,f335(f335(f108(f934(f933(x41471,x41471),a922)),x41472),f335(f294(x41471,x41471),x41472))) % 209.33/209.62 [4148]P52(x41481,f335(f335(f117(f934(f933(x41481,x41481),a922)),x41482),f335(f294(x41481,x41481),x41482))) % 209.33/209.62 [4159]P106(f335(f335(f244(a1),f335(f85(a1),f335(f107(a1),f335(a119,x41591)))),f335(f107(a1),x41592))) % 209.33/209.62 [4204]E(f335(f149(f928(x42041),x42041,f335(f7(x42041,f928(x42041),f928(x42041)),f158(x42041)),f120(x42041)),x42042),f335(f175(x42041),x42042)) % 209.33/209.62 [4253]P106(f335(f335(f243(f934(f933(f928(x42531),f928(x42531)),a922)),f165(x42531,x42532)),f315(f928(x42531),f164(x42531,x42532)))) % 209.33/209.62 [4282]P106(f335(f53(x42821,x42822),f335(f335(f260(a927,a927),f335(f335(f41(a927),x42821),x42822)),f50(a927,x42821,x42822)))) % 209.33/209.62 [4294]P106(f335(f335(f243(f934(f933(f928(x42941),f928(x42941)),a922)),f164(x42941,f315(x42941,x42942))),f315(f928(x42941),f164(x42941,x42942)))) % 209.33/209.62 [4512]E(f335(f335(f267(f933(a106,a106),a106,f933(a106,a106),f933(x45121,f933(a106,a106))),f275(f335(f172(a106),f335(f335(f161(f933(a106,x45121),a106),f259(a106,x45121)),x45122)))),f335(f335(f8(x45121,f934(f933(a106,a106),f933(x45121,f933(a106,a106))),a106),f260(x45121,f933(a106,a106))),f276(x45121,x45122))),f274(x45121,x45122)) % 209.33/209.62 [4589]E(f232(a927,f933(x45891,f929(x45891)),f2(a927),f335(f265(x45891,f929(x45891),a927),f335(f16(f934(f929(x45891),a927),x45891),f335(f335(f7(f929(x45891),a927,a927),f335(f335(f8(a927,f934(a927,a927),f929(x45891)),f86(a927)),f196(f929(x45891)))),f84(a927)))),f335(f142(x45891),x45892)),f335(f196(f929(x45891)),x45892)) % 209.33/209.62 [4697]E(f335(f265(f934(f933(x46971,x46971),a922),f934(f933(x46971,x46971),a922),f934(f934(x46972,x46971),f933(f934(f933(x46972,x46972),a922),f934(f933(x46972,x46972),a922)))),f335(f335(f7(f934(f933(x46971,x46971),a922),f934(f934(f933(x46971,x46971),a922),f934(f934(x46972,x46971),f934(f933(x46972,x46972),a922))),f934(f934(f933(x46971,x46971),a922),f934(f934(x46972,x46971),f933(f934(f933(x46972,x46972),a922),f934(f933(x46972,x46972),a922))))),f335(f335(f8(f934(f934(f934(x46972,x46971),f934(f933(x46972,x46972),a922)),f934(f934(x46972,x46971),f933(f934(f933(x46972,x46972),a922),f934(f933(x46972,x46972),a922)))),f934(f934(f934(f933(x46971,x46971),a922),f934(f934(x46972,x46971),f934(f933(x46972,x46972),a922))),f934(f934(f933(x46971,x46971),a922),f934(f934(x46972,x46971),f933(f934(f933(x46972,x46972),a922),f934(f933(x46972,x46972),a922))))),f934(f933(x46971,x46971),a922)),f8(f934(f934(x46972,x46971),f934(f933(x46972,x46972),a922)),f934(f934(x46972,x46971),f933(f934(f933(x46972,x46972),a922),f934(f933(x46972,x46972),a922))),f934(f933(x46971,x46971),a922))),f335(f335(f8(f934(f934(x46972,x46971),f934(f934(f933(x46972,x46972),a922),f933(f934(f933(x46972,x46972),a922),f934(f933(x46972,x46972),a922)))),f934(f934(f934(x46972,x46971),f934(f933(x46972,x46972),a922)),f934(f934(x46972,x46971),f933(f934(f933(x46972,x46972),a922),f934(f933(x46972,x46972),a922)))),f934(f933(x46971,x46971),a922)),f18(f934(x46972,x46971),f934(f933(x46972,x46972),a922),f933(f934(f933(x46972,x46972),a922),f934(f933(x46972,x46972),a922)))),f335(f335(f8(f934(f934(x46972,x46971),f934(f933(x46972,x46972),a922)),f934(f934(x46972,x46971),f934(f934(f933(x46972,x46972),a922),f933(f934(f933(x46972,x46972),a922),f934(f933(x46972,x46972),a922)))),f934(f933(x46971,x46971),a922)),f335(f8(f934(f933(x46972,x46972),a922),f934(f934(f933(x46972,x46972),a922),f933(f934(f933(x46972,x46972),a922),f934(f933(x46972,x46972),a922))),f934(x46972,x46971)),f260(f934(f933(x46972,x46972),a922),f934(f933(x46972,x46972),a922)))),f296(x46971,x46972))))),f296(x46971,x46972))),f79(x46971,x46972)) % 209.33/209.62 [4772]~E(f335(f316(x47721),x47722),f195(f934(f934(x47721,a922),a922))) % 209.33/209.62 [4783]~P106(f335(f335(f179(x47831),f120(x47831)),x47832)) % 209.33/209.62 [4787]~P106(f335(f335(f337(x47871),x47872),f195(f934(x47871,a922)))) % 209.33/209.62 [4795]~P106(f335(f335(f244(f934(x47951,a922)),x47952),f195(f934(x47951,a922)))) % 209.33/209.62 [3615]E(f335(f335(f23(a927),x36151),f335(f335(f86(a927),x36151),x36152)),f2(a927)) % 209.33/209.62 [3618]E(f335(f335(f108(f934(x36181,a922)),x36182),x36182),x36182) % 209.33/209.62 [3619]E(f335(f335(f117(f934(x36191,a922)),x36192),x36192),x36192) % 209.33/209.62 [3647]E(f335(f335(f23(f934(x36471,a922)),x36472),x36472),f195(f934(x36471,a922))) % 209.33/209.62 [3650]E(f335(f150(x36501,x36502),f2(a927)),f195(f934(f933(f928(x36501),f928(x36501)),a922))) % 209.33/209.62 [3651]E(f335(f335(f86(a927),x36511),f335(a119,x36512)),f335(a119,f335(f335(f86(a927),x36511),x36512))) % 209.33/209.62 [3663]E(f201(f335(f107(a1),x36631),f335(f107(a1),x36632)),f335(f107(a1),f335(f335(f23(a927),x36631),x36632))) % 209.33/209.62 [3666]E(f335(f335(f41(a1),f335(f85(a1),x36661)),x36662),f335(f335(f41(a1),x36661),f335(f85(a1),x36662))) % 209.33/209.62 [3670]E(f335(f40(a1),f335(f310(a1,x36701),x36702)),f335(a111,f335(f335(f23(a1),x36702),x36701))) % 209.33/209.62 [3673]E(f335(f335(f86(a927),f335(a119,x36731)),x36732),f335(a119,f335(f335(f86(a927),x36731),x36732))) % 209.33/209.62 [3676]E(f335(f85(f934(x36761,a922)),f335(f85(f934(x36761,a922)),x36762)),x36762) % 209.33/209.62 [3689]E(f186(x36891,f335(f335(f158(f928(x36891)),f120(x36891)),x36892)),f186(x36891,x36892)) % 209.33/209.62 [3693]E(f335(f335(f86(a927),x36931),f335(f335(f87(a927),x36931),x36932)),f335(f335(f87(a927),x36931),f335(a119,x36932))) % 209.33/209.62 [3700]E(f335(f335(a24,f335(a3,x37001)),f335(a3,x37002)),f335(a3,f335(f335(f23(a927),x37001),x37002))) % 209.33/209.62 [3715]E(f335(f335(f87(a1),f335(f85(a1),x37151)),x37152),f335(f85(a1),f335(f335(f87(a1),x37151),x37152))) % 209.33/209.62 [3717]E(f335(f335(f252(a1),f335(f107(a1),x37171)),x37172),f335(f107(a1),f335(f335(f252(a927),x37171),x37172))) % 209.33/209.62 [3718]E(f335(f335(f87(a106),f335(a3,x37181)),f335(a3,x37182)),f335(a3,f335(f335(f87(a927),x37181),x37182))) % 209.33/209.62 [3719]E(f335(f335(f86(a106),f335(a3,x37191)),f335(a3,x37192)),f335(a3,f335(f335(f86(a927),x37191),x37192))) % 209.33/209.62 [3720]E(f335(f335(f241(a927),f335(a119,x37201)),f335(a119,x37202)),f335(a119,f335(f335(f241(a927),x37201),x37202))) % 209.33/209.62 [3721]E(f335(f335(f242(a927),f335(a119,x37211)),f335(a119,x37212)),f335(a119,f335(f335(f242(a927),x37211),x37212))) % 209.33/209.62 [3726]E(f335(f179(a927),f146(a927,f335(f310(a927,x37261),x37262))),f335(f310(a927,x37261),x37262)) % 209.33/209.62 [3727]E(f320(x37271,f335(f335(f317(x37271),x37272),f195(f934(x37271,a922)))),x37272) % 209.33/209.62 [3731]E(f335(f292(x37311,x37312),f195(f934(f933(x37311,x37312),a922))),f195(f934(x37312,a922))) % 209.33/209.62 [3732]E(f335(f272(x37321,x37322),f195(f934(f933(x37321,x37322),a922))),f195(f934(x37321,a922))) % 209.33/209.62 [3736]E(f335(a111,f335(f335(f23(a1),x37361),x37362)),f335(f40(a1),f313(a1,x37362,x37361))) % 209.33/209.62 [3741]E(f335(f335(f86(a927),x37411),f335(f335(f87(a927),x37412),x37411)),f335(f335(f87(a927),f335(a119,x37412)),x37411)) % 209.33/209.62 [3743]E(f335(f335(f65(x37431),f195(f934(x37431,a922))),x37432),f195(f934(f934(x37431,a922),a922))) % 209.33/209.62 [3752]E(f335(f196(f928(a927)),f146(a927,f335(f310(a927,x37521),x37522))),f335(f335(f23(a927),x37522),x37521)) % 209.33/209.62 [3767]E(f335(f335(f108(f934(x37671,a922)),f250(f934(x37671,a922))),x37672),x37672) % 209.33/209.62 [3768]E(f335(f335(f117(f934(x37681,a922)),f195(f934(x37681,a922))),x37682),x37682) % 209.33/209.62 [3769]E(f335(f335(f86(a1),f335(f85(a1),x37691)),f335(f85(a1),x37692)),f335(f85(a1),f335(f335(f86(a1),x37691),x37692))) % 209.33/209.62 [3774]E(f335(f335(f87(a1),f335(f107(a1),x37741)),f335(f107(a1),x37742)),f335(f107(a1),f335(f335(f87(a927),x37741),x37742))) % 209.33/209.62 [3775]E(f335(f335(f87(a1),f335(f110(a1),x37751)),f335(f110(a1),x37752)),f335(f110(a1),f335(f335(f87(a1),x37751),x37752))) % 209.33/209.62 [3777]E(f335(f335(f86(a1),f335(f107(a1),x37771)),f335(f107(a1),x37772)),f335(f107(a1),f335(f335(f86(a927),x37771),x37772))) % 209.33/209.62 [3778]E(f335(f335(f86(a1),f335(f110(a1),x37781)),f335(f110(a1),x37782)),f335(f110(a1),f335(f335(f86(a1),x37781),x37782))) % 209.33/209.62 [3779]E(f335(f335(f41(a1),f335(f107(a1),x37791)),f335(f107(a1),x37792)),f335(f107(a1),f335(f335(f41(a927),x37791),x37792))) % 209.33/209.62 [3798]E(f335(f335(f6(x37981,a927),f335(f16(a927,x37981),f84(a927))),x37982),f335(f40(x37981),x37982)) % 209.33/209.62 [3808]E(f335(f85(a1),f50(a1,f335(f85(a1),x38081),x38082)),f50(a1,x38081,f335(f85(a1),x38082))) % 209.33/209.62 [3810]E(f335(f179(a1),f185(x38101,f335(f335(f23(a1),x38102),f84(a1)))),f335(f310(a1,x38101),x38102)) % 209.33/209.62 [3815]P106(f335(f335(f243(a927),x38151),f335(f335(f86(a927),x38152),x38151))) % 209.33/209.62 [3816]P106(f335(f335(f243(a927),x38161),f335(f335(f86(a927),x38161),x38162))) % 209.33/209.62 [3818]E(f335(f335(f23(f934(x38181,a922)),f195(f934(x38181,a922))),x38182),f195(f934(x38181,a922))) % 209.33/209.62 [3819]E(f335(f335(f108(f934(x38191,a922)),f195(f934(x38191,a922))),x38192),f195(f934(x38191,a922))) % 209.33/209.62 [3820]E(f335(f335(f117(f934(x38201,a922)),f250(f934(x38201,a922))),x38202),f250(f934(x38201,a922))) % 209.33/209.62 [3827]E(f335(f335(f260(a1,a1),x38271),f335(f85(a1),x38272)),f335(a56,f335(f335(f260(a1,a1),x38271),x38272))) % 209.33/209.62 [3828]E(f335(f310(a1,f335(f335(f86(a1),x38281),f84(a1))),x38282),f314(a1,x38281,x38282)) % 209.33/209.62 [3839]E(f335(f335(f87(a927),x38391),f335(f335(f41(a927),x38392),x38391)),f335(f335(f23(a927),x38392),f50(a927,x38392,x38391))) % 209.33/209.62 [3840]E(f335(f335(f87(a1),x38401),f335(f335(f41(a1),x38402),x38401)),f335(f335(f23(a1),x38402),f50(a1,x38402,x38401))) % 209.33/209.62 [3843]E(f335(f179(a1),f185(f335(f335(f86(a1),x38431),f84(a1)),x38432)),f313(a1,x38431,x38432)) % 209.33/209.62 [3847]P106(f335(f335(f243(f934(x38471,a922)),x38472),x38472)) % 209.33/209.62 [3850]E(f335(f335(f108(f934(x38501,a922)),x38502),f335(f85(f934(x38501,a922)),x38502)),f195(f934(x38501,a922))) % 209.33/209.62 [3851]E(f335(f335(f117(f934(x38511,a922)),x38512),f335(f85(f934(x38511,a922)),x38512)),f250(f934(x38511,a922))) % 209.33/209.62 [3859]E(f335(f335(f23(a927),f335(f335(f23(a927),x38591),f84(a927))),x38592),f335(f335(f23(a927),x38591),f335(a119,x38592))) % 209.33/209.62 [3865]E(f335(f335(f23(f934(x38651,a922)),f250(f934(x38651,a922))),x38652),f335(f85(f934(x38651,a922)),x38652)) % 209.33/209.62 [3866]E(f335(f335(f23(a1),f335(f110(a1),x38661)),f335(f110(a1),x38662)),f335(f110(a1),f335(f335(f86(a1),x38661),f335(f85(a1),x38662)))) % 209.33/209.62 [3879]E(f335(f179(a927),f146(a927,f335(f310(a927,x38791),f335(a119,x38792)))),f311(a927,x38791,x38792)) % 209.33/209.62 [3895]E(f335(f196(f928(f928(x38951))),f59(x38951,x38952)),f335(f335(f252(a927),f335(a119,f335(a119,f2(a927)))),f335(f196(f928(x38951)),x38952))) % 209.33/209.62 [3914]E(f335(f335(f190(f933(x39141,x39141),a922),f2(a927)),x39142),f315(x39141,f195(f934(f933(x39141,x39141),a922)))) % 209.33/209.62 [3918]P106(f335(f144(a927),f146(a927,f335(f310(a927,x39181),x39182)))) % 209.33/209.62 [3934]E(f335(f318(a1,a927,a111),f311(a1,f335(f107(a1),x39341),f335(f107(a1),x39342))),f311(a927,x39341,x39342)) % 209.33/209.62 [3943]E(f192(a927,f2(a927),f5(a927),f335(f335(f23(a927),x39431),x39432)),f335(f335(f23(a927),x39431),f335(a119,x39432))) % 209.33/209.62 [3944]E(f335(a111,f335(f335(f23(a1),x39441),f335(f335(f86(a1),x39442),f84(a1)))),f335(f40(a1),f314(a1,x39442,x39441))) % 209.33/209.62 [3980]E(f335(f335(f161(a927,a927),a119),f146(a927,f335(f310(a927,x39801),x39802))),f146(a927,f335(f310(a927,f335(a119,x39801)),f335(a119,x39802)))) % 209.33/209.62 [3988]E(f335(f179(a1),f185(f335(f335(f86(a1),x39881),f84(a1)),f335(f335(f23(a1),x39882),f84(a1)))),f314(a1,x39881,x39882)) % 209.33/209.62 [4000]P106(f335(f335(f243(f934(x40001,a922)),f195(f934(x40001,a922))),x40002)) % 209.33/209.62 [4004]E(f91(x40041,f335(f335(f7(x40041,x40041,a922),a332),x40042)),x40042) % 209.33/209.62 [4005]E(f96(x40051,f335(f335(f7(x40051,x40051,a922),a332),x40052)),x40052) % 209.33/209.62 [4009]E(f335(f179(a927),f146(a927,f335(f310(a927,f335(a119,x40091)),f335(a119,x40092)))),f313(a927,x40091,x40092)) % 209.33/209.62 [4036]E(f335(f335(f262(x40361,x40362),f250(f934(x40361,a922))),f335(f16(f934(x40362,a922),x40361),f250(f934(x40362,a922)))),f250(f934(f933(x40361,x40362),a922))) % 209.33/209.62 [4070]E(f335(f270(x40701),f335(f335(f8(a922,a922,x40701),a330),x40702)),f335(f85(f934(x40701,a922)),f335(f270(x40701),x40702))) % 209.33/209.62 [4073]E(f335(f270(x40731),f335(f335(f7(x40731,x40731,a922),a332),x40732)),f335(f335(f317(x40731),x40732),f195(f934(x40731,a922)))) % 209.33/209.62 [4080]E(f335(f335(f86(a1),f335(f335(f23(a1),x40801),x40802)),f335(f335(f23(a1),x40801),x40802)),f335(f335(f23(a1),f335(f335(f86(a1),x40801),x40801)),f335(f335(f86(a1),x40802),x40802))) % 209.33/209.62 [4081]E(f335(f335(f86(a1),f335(f335(f86(a1),x40811),x40811)),f335(f335(f86(a1),x40812),x40812)),f335(f335(f86(a1),f335(f335(f86(a1),x40811),x40812)),f335(f335(f86(a1),x40811),x40812))) % 209.33/209.62 [4097]P106(f335(f335(f243(a927),f335(f40(x40971),f335(f179(x40971),x40972))),f335(f196(f928(x40971)),x40972))) % 209.33/209.62 [4098]P106(f335(f335(f243(a927),f335(f196(f928(x40981)),f159(x40981,x40982))),f335(f196(f928(x40981)),x40982))) % 209.33/209.62 [4109]E(f335(f270(x41091),f335(f335(f7(x41091,f934(x41091,a922),a922),f337(x41091)),x41092)),x41092) % 209.33/209.62 [4123]E(f335(f335(f182(x41231),f335(f335(f23(a927),f335(f196(f928(x41231)),x41232)),f84(a927))),x41232),f121(x41231,x41232)) % 209.33/209.62 [4146]E(f192(a927,f2(a927),f335(f335(f8(a927,a927,a927),a119),f335(f241(a927),x41461)),x41462),f335(f335(f241(a927),f335(a119,x41461)),x41462)) % 209.33/209.62 [4151]E(f42(f934(x41511,a922),f335(f318(f934(f933(x41511,x41511),a922),f934(x41511,a922),f289(x41511)),x41512)),f335(f289(x41511),f42(f934(f933(x41511,x41511),a922),x41512))) % 209.33/209.62 [4152]E(f192(a927,f335(a119,x41521),f335(f335(f8(a927,a927,a927),a119),f335(f242(a927),x41521)),x41522),f335(f335(f242(a927),f335(a119,x41521)),x41522)) % 209.33/209.62 [4154]E(f335(f335(f260(a1,a1),f335(f335(f41(a1),f335(f81(a1),x41541)),f335(f81(a1),x41542))),f50(a1,f335(f81(a1),x41541),f335(f81(a1),x41542))),f58(x41541,x41542)) % 209.33/209.62 [4177]P106(f335(f335(f243(f934(f934(x41771,a922),a922)),x41772),f335(f316(x41771),f42(f934(x41771,a922),x41772)))) % 209.33/209.62 [4209]E(f335(f335(f44(x42091,f934(x42091,a922)),x42092),f335(f335(f7(x42091,f934(x42091,a922),f934(x42091,a922)),f317(x42091)),f195(f934(x42091,a922)))),x42092) % 209.33/209.62 [4210]E(f335(f335(f297(x42101,x42101,x42101),f335(f294(x42101,x42101),x42102)),f315(x42101,f335(f294(x42101,x42101),x42102))),f335(f294(x42101,x42101),f335(f335(f297(x42101,x42101,x42101),x42102),f315(x42101,x42102)))) % 209.33/209.62 [4274]E(f335(f179(x42741),f335(f149(f928(x42741),f928(x42741),f141(x42741),f120(x42741)),x42742)),f335(f335(f44(f928(x42741),f934(x42741,a922)),f335(f179(f928(x42741)),x42742)),f179(x42741))) % 209.33/209.62 [4305]E(f335(f335(f117(f934(f933(x43051,x43051),a922)),f315(x43051,f195(f934(f933(x43051,x43051),a922)))),f335(f335(f297(x43051,x43051,x43051),f315(x43051,x43052)),x43052)),f315(x43051,x43052)) % 209.33/209.62 [4341]E(f335(f335(f188(x43411,x43411),x43412),x43412),f335(f335(f161(x43411,f933(x43411,x43411)),f335(f335(f18(x43411,x43411,f933(x43411,x43411)),f260(x43411,x43411)),f5(x43411))),x43412)) % 209.33/209.62 [4454]E(f335(f149(a927,f928(x44541),f335(f7(f928(x44541),a927,a927),f335(f335(f8(a927,f934(a927,a927),f928(x44541)),f242(a927)),f196(f928(x44541)))),f2(a927)),f335(f175(f928(x44541)),x44542)),f335(f196(f928(f928(x44541))),f186(x44541,x44542))) % 209.33/209.62 [4526]E(f335(f335(f296(f933(a927,f928(x45261)),f928(x45261)),f327(a927,f928(x45261),a248,f152(x45261,x45262))),f335(f335(f18(f928(x45261),f928(x45261),f933(a927,f928(x45261))),f335(f335(f8(a927,f934(f928(x45261),f933(a927,f928(x45261))),f928(x45261)),f260(a927,f928(x45261))),f196(f928(x45261)))),f5(f928(x45261)))),f153(x45261,x45262)) % 209.33/209.62 [4653]E(f335(f270(x46531),f335(f335(f8(f934(f934(x46531,a922),a922),a922,x46531),f94(f934(x46531,a922))),f335(f335(f8(f934(f934(x46531,a922),a922),f934(f934(x46531,a922),a922),x46531),f335(f18(f934(x46531,a922),a922,a922),f335(f335(f8(a922,f934(a922,a922),f934(x46531,a922)),a338),f335(f335(f7(f934(x46531,a922),f934(f934(x46531,a922),a922),a922),f337(f934(x46531,a922))),x46532)))),f337(x46531)))),f43(f934(x46531,a922),x46532)) % 209.33/209.62 [4654]E(f335(f270(x46541),f335(f335(f8(f934(f934(x46541,a922),a922),a922,x46541),f93(f934(x46541,a922))),f335(f335(f8(f934(f934(x46541,a922),a922),f934(f934(x46541,a922),a922),x46541),f335(f18(f934(x46541,a922),a922,a922),f335(f335(f8(a922,f934(a922,a922),f934(x46541,a922)),a333),f335(f335(f7(f934(x46541,a922),f934(f934(x46541,a922),a922),a922),f337(f934(x46541,a922))),x46542)))),f337(x46541)))),f42(f934(x46541,a922),x46542)) % 209.33/209.62 [4796]~P106(f335(f335(f244(a1),f335(f107(a1),x47961)),f335(f85(a1),f335(f107(a1),x47962)))) % 209.33/209.62 [3739]E(f335(f335(f23(a927),f335(f335(f86(a927),x37391),x37392)),x37392),x37391) % 209.33/209.62 [3740]E(f335(f335(f23(a927),f335(f335(f86(a927),x37401),x37402)),x37401),x37402) % 209.33/209.62 [3809]E(f335(f335(f86(a927),f335(f335(f23(a927),x38091),x38092)),x38092),f335(f335(f242(a927),x38091),x38092)) % 209.33/209.62 [3921]E(f335(f335(f87(a927),f335(f335(f41(a927),x39211),x39212)),x39212),f335(f335(f23(a927),x39211),f50(a927,x39211,x39212))) % 209.33/209.62 [3948]E(f335(f179(a927),f146(a927,f335(f310(a927,f335(a119,x39481)),x39482))),f314(a927,x39481,x39482)) % 209.33/209.62 [3956]E(f335(f107(a1),f225(f335(a111,f335(f81(a1),x39561)),f335(a111,f335(f81(a1),x39562)))),f335(f335(a226,x39561),x39562)) % 209.33/209.62 [3958]E(f335(f335(f108(f934(x39581,a922)),f335(f85(f934(x39581,a922)),x39582)),x39582),f195(f934(x39581,a922))) % 209.33/209.62 [3959]E(f335(f335(f117(f934(x39591,a922)),f335(f85(f934(x39591,a922)),x39592)),x39592),f250(f934(x39591,a922))) % 209.33/209.62 [3976]P106(f335(f335(f243(a927),f335(f335(f23(a927),x39761),x39762)),x39761)) % 209.33/209.62 [3977]P106(f335(f335(f243(a927),f335(f335(f41(a927),x39771),x39772)),x39771)) % 209.33/209.62 [4001]P106(f335(f335(f244(a927),x40011),f335(a119,f335(f335(f86(a927),x40012),x40011)))) % 209.33/209.62 [4002]P106(f335(f335(f244(a927),x40021),f335(a119,f335(f335(f86(a927),x40021),x40022)))) % 209.33/209.62 [4020]E(f335(f335(f87(a927),f335(a111,f335(f81(a1),x40201))),f335(a111,f335(f81(a1),x40202))),f335(a111,f335(f81(a1),f335(f335(f87(a1),x40201),x40202)))) % 209.33/209.62 [4032]P106(f335(f335(f243(a1),f2(a1)),f335(f335(f252(a1),f335(f81(a1),x40321)),x40322))) % 209.33/209.62 [4102]E(f335(f293(f928(x41021),f928(x41021),f165(x41021,x41022)),f335(f335(f317(f928(x41021)),f120(x41021)),f195(f934(f928(x41021),a922)))),f335(f335(f317(f928(x41021)),f120(x41021)),f195(f934(f928(x41021),a922)))) % 209.33/209.62 [4121]E(f335(f335(f117(f934(f933(x41211,x41211),a922)),f315(x41211,x41212)),f315(x41211,f195(f934(f933(x41211,x41211),a922)))),f315(x41211,x41212)) % 209.33/209.62 [4134]E(f335(f335(f41(a1),f335(f110(a1),f335(f335(f86(a1),x41341),x41341))),f335(f110(a1),f335(f335(f86(a1),x41342),x41342))),f335(f335(f41(a1),f335(f110(a1),x41341)),f335(f110(a1),x41342))) % 209.33/209.62 [4199]E(f335(f335(f252(a1),x41991),f335(f110(a927),f335(f335(f86(a1),x41992),x41992))),f335(f335(f92(a1,a1),f335(f335(f252(a1),x41991),f335(f110(a927),x41992))),f335(f335(f18(a1,a1,a1),f87(a1)),f5(a1)))) % 209.33/209.62 [4205]E(f335(f270(f934(x42051,a922)),f335(f335(f7(f934(x42051,a922),f934(x42051,a922),a922),f243(f934(x42051,a922))),x42052)),f335(f316(x42051),x42052)) % 209.33/209.62 [4221]E(f335(f335(f161(a1,a927),a111),f335(f335(f141(a1),f335(f335(f161(a927,a1),f107(a1)),x42211)),f335(f335(f161(a927,a1),f107(a1)),x42212))),f335(f335(f141(a927),x42211),x42212)) % 209.33/209.62 [4252]E(f335(f318(a1,a1,f335(f335(f7(a1,a1,a1),f86(a1)),x42521)),f335(f310(a1,f2(a1)),f335(f335(f23(a1),x42522),x42521))),f335(f310(a1,x42521),x42522)) % 209.33/209.62 [4254]P54(x42541,f335(f335(f23(f934(f933(x42541,x42541),a922)),x42542),f315(x42541,f195(f934(f933(x42541,x42541),a922))))) % 209.33/209.62 [4272]E(f335(f196(f928(x42721)),f335(f149(f928(x42721),f928(x42721),f141(x42721),f120(x42721)),x42722)),f335(f172(a927),f335(f335(f161(f928(x42721),a927),f196(f928(x42721))),x42722))) % 209.33/209.62 [4276]P53(x42761,f250(f934(x42761,a922)),f335(f335(f117(f934(f933(x42761,x42761),a922)),x42762),f315(x42761,f195(f934(f933(x42761,x42761),a922))))) % 209.33/209.62 [4321]E(f192(a927,f2(a927),f335(f335(f8(a927,a927,a927),a119),f335(f335(f7(a927,a927,a927),f241(a927)),x43211)),x43212),f335(f335(f241(a927),x43212),f335(a119,x43211))) % 209.33/209.62 [4324]E(f192(a927,f335(a119,x43241),f335(f335(f8(a927,a927,a927),a119),f335(f335(f7(a927,a927,a927),f242(a927)),x43241)),x43242),f335(f335(f242(a927),x43242),f335(a119,x43241))) % 209.33/209.62 [4327]E(f335(f318(x43271,f928(x43271),f335(f335(f7(x43271,f928(x43271),f928(x43271)),f158(x43271)),f120(x43271))),x43272),f181(x43271,x43272,f335(f335(f317(f928(x43271)),f120(x43271)),f195(f934(f928(x43271),a922))))) % 209.33/209.62 [4329]E(f335(f335(f117(f934(f933(x43291,x43291),a922)),f335(f335(f297(x43291,x43291,x43291),x43292),f315(x43291,x43292))),f315(x43291,f195(f934(f933(x43291,x43291),a922)))),f315(x43291,x43292)) % 209.33/209.62 [4336]P106(f335(f335(f243(f934(f933(x43361,x43361),a922)),f271(x43361,x43362)),f335(f335(f262(x43361,x43361),x43362),f335(f16(f934(x43361,a922),x43361),x43362)))) % 209.33/209.62 [4339]E(f335(f318(a1,a927,a111),f335(f335(f108(f934(a1,a922)),f335(f318(a927,a1,f107(a1)),x43391)),f335(f318(a927,a1,f107(a1)),x43392))),f335(f335(f108(f934(a927,a922)),x43391),x43392)) % 209.33/209.62 [4340]E(f335(f318(a1,a927,a111),f335(f335(f117(f934(a1,a922)),f335(f318(a927,a1,f107(a1)),x43401)),f335(f318(a927,a1,f107(a1)),x43402))),f335(f335(f117(f934(a927,a922)),x43401),x43402)) % 209.33/209.62 [4343]E(f335(f270(x43431),f335(f335(f8(a922,a922,x43431),a330),f335(f335(f7(x43431,f934(x43431,a922),a922),f337(x43431)),x43432))),f335(f85(f934(x43431,a922)),x43432)) % 209.33/209.62 [4370]E(f335(f149(f928(x43701),f928(x43701),f141(x43701),f120(x43701)),f335(f335(f161(f928(x43701),f928(x43701)),f175(x43701)),f335(f175(f928(x43701)),x43702))),f335(f175(x43701),f335(f149(f928(x43701),f928(x43701),f141(x43701),f120(x43701)),x43702))) % 209.33/209.62 [4398]E(f335(f335(f44(a927,f934(f933(x43981,x43981),a922)),f250(f934(a927,a922))),f335(f335(f7(a927,f934(f933(x43981,x43981),a922),f934(f933(x43981,x43981),a922)),f190(f933(x43981,x43981),a922)),x43982)),f315(x43981,x43982)) % 209.33/209.62 [4416]E(f91(x44161,f335(f335(f8(f934(x44161,a922),a922,x44161),f335(a332,x44162)),f335(f335(f7(x44161,f934(x44161,a922),f934(x44161,a922)),f317(x44161)),f195(f934(x44161,a922))))),f320(x44161,x44162)) % 209.33/209.62 [4424]E(f335(f196(f928(x44241)),f159(x44241,f335(f149(f928(x44241),f928(x44241),f141(x44241),f120(x44241)),x44242))),f335(f40(x44241),f335(f335(f44(f928(x44241),f934(x44241,a922)),f335(f179(f928(x44241)),x44242)),f179(x44241)))) % 209.33/209.62 [4438]E(f335(f335(f117(f934(f933(x44381,x44381),a922)),x44382),f335(f335(f297(x44381,x44381,x44381),f335(f335(f297(x44381,x44381,x44381),x44382),f315(x44381,x44382))),x44382)),f335(f335(f297(x44381,x44381,x44381),x44382),f315(x44381,x44382))) % 209.33/209.62 [4462]P106(f335(f335(f243(f934(f933(x44621,x44621),a922)),f335(f335(f297(x44621,x44621,x44621),x44622),f315(x44621,x44622))),f335(f335(f262(x44621,x44621),f335(f289(x44621),x44622)),f335(f16(f934(x44621,a922),x44621),f335(f289(x44621),x44622))))) % 209.33/209.62 [4503]E(f335(f270(f928(x45031)),f335(f335(f7(f928(x45031),f934(x45031,a922),a922),f335(f335(f8(f934(x45031,a922),f934(f934(x45031,a922),a922),f928(x45031)),f243(f934(x45031,a922))),f179(x45031))),x45032)),f168(x45031,x45032)) % 209.33/209.62 [4514]E(f335(f163(f928(x45141),x45141,f120(x45141),f335(f335(f8(f928(x45141),f934(f928(x45141),f928(x45141)),x45141),f335(f7(f928(x45141),f928(x45141),f928(x45141)),f141(x45141))),f335(f335(f7(x45141,f928(x45141),f928(x45141)),f158(x45141)),f120(x45141)))),x45142),f335(f174(x45141),x45142)) % 209.33/209.62 [4554]P25(f934(x45541,x45542),f934(f933(x45541,x45542),a922),f335(f335(f8(f934(f933(x45541,x45542),a922),f934(f933(x45541,x45542),a922),f934(x45541,x45542)),f270(f933(x45541,x45542))),f335(f335(f8(f934(x45541,f934(x45542,a922)),f934(f933(x45541,x45542),a922),f934(x45541,x45542)),f265(x45541,x45542,a922)),f335(f8(x45542,f934(x45542,a922),x45541),f335(f7(x45542,x45542,a922),a332)))),f250(f934(f934(x45541,x45542),a922))) % 209.33/209.62 [4559]E(f50(a1,f335(f110(a1),f335(f335(f86(a1),x45591),x45591)),f335(f110(a1),f335(f335(f86(a1),x45592),x45592))),f335(f335(f87(a1),f335(f110(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),f50(a1,f335(f110(a1),x45591),f335(f110(a1),x45592)))) % 209.33/209.62 [4603]E(f335(f335(f44(x46031,f934(f933(x46031,x46031),a922)),x46032),f335(f335(f7(x46031,f934(f933(x46031,x46031),a922),f934(f933(x46031,x46031),a922)),f335(f335(f8(f933(x46031,x46031),f934(f934(f933(x46031,x46031),a922),f934(f933(x46031,x46031),a922)),x46031),f317(f933(x46031,x46031))),f335(f335(f18(x46031,x46031,f933(x46031,x46031)),f260(x46031,x46031)),f5(x46031)))),f195(f934(f933(x46031,x46031),a922)))),f271(x46031,x46032)) % 209.33/209.62 [4611]E(f211(x46111,f335(f335(f260(a1,a1),f335(f85(a1),f335(f335(f78(f933(a1,a1),a1,x46111,f259(a1,a1)),f221(x46111)),x46112))),f335(f335(f78(f933(a1,a1),a1,x46111,f264(a1,a1)),f221(x46111)),x46112))),f236(x46111,x46112)) % 209.33/209.62 [4694]E(f335(f270(f934(x46941,a922)),f335(f335(f8(f934(f934(x46941,a922),a922),a922,f934(x46941,a922)),f93(f934(x46941,a922))),f335(f335(f7(f934(x46941,a922),f934(f934(x46941,a922),a922),f934(f934(x46941,a922),a922)),f335(f335(f8(f934(f934(x46941,a922),f934(a922,a922)),f934(f934(f934(x46941,a922),a922),f934(f934(x46941,a922),a922)),f934(x46941,a922)),f18(f934(x46941,a922),a922,a922)),f335(f335(f8(f934(f934(x46941,a922),a922),f934(f934(x46941,a922),f934(a922,a922)),f934(x46941,a922)),f335(f8(a922,f934(a922,a922),f934(x46941,a922)),a333)),f335(f335(f7(f934(x46941,a922),f934(f934(x46941,a922),f934(x46941,a922)),f934(f934(x46941,a922),a922)),f335(f335(f8(f934(f934(x46941,a922),a922),f934(f934(f934(x46941,a922),f934(x46941,a922)),f934(f934(x46941,a922),a922)),f934(x46941,a922)),f8(f934(x46941,a922),a922,f934(x46941,a922))),a332)),f85(f934(x46941,a922)))))),f335(f335(f8(f934(f934(x46941,a922),a922),a922,f934(x46941,a922)),f335(f337(f934(x46941,a922)),x46942)),f316(x46941))))),f335(f316(x46941),f335(f85(f934(x46941,a922)),x46942))) % 209.33/209.62 [4794]~E(f335(f335(f86(a1),x47941),x47941),f335(f335(f23(a1),f335(f335(f86(a1),x47942),x47942)),a104)) % 209.33/209.62 [4798]~P106(f335(f335(f244(a927),f335(f335(f86(a927),x47981),x47982)),x47982)) % 209.33/209.62 [4799]~P106(f335(f335(f244(a927),f335(f335(f86(a927),x47991),x47992)),x47991)) % 209.33/209.62 [4037]E(f335(f335(f23(a927),x40371),f335(f335(f87(a927),f335(f335(f41(a927),x40371),x40372)),x40372)),f50(a927,x40371,x40372)) % 209.33/209.62 [4038]E(f335(f335(f23(a1),x40381),f335(f335(f87(a1),f335(f335(f41(a1),x40381),x40382)),x40382)),f50(a1,x40381,x40382)) % 209.33/209.62 [4071]E(f335(f335(f161(a927,x40711),f335(f171(x40711),x40712)),f146(a927,f335(f310(a927,f2(a927)),f335(f196(f928(x40711)),x40712)))),x40712) % 209.33/209.62 [4130]E(f335(f293(x41301,x41301,f315(x41301,f195(f934(f933(x41301,x41301),a922)))),x41302),x41302) % 209.33/209.62 [4257]E(f315(x42571,f335(f335(f23(f934(f933(x42571,x42571),a922)),x42572),f315(x42571,f195(f934(f933(x42571,x42571),a922))))),f315(x42571,x42572)) % 209.33/209.62 [4258]E(f315(x42581,f335(f335(f117(f934(f933(x42581,x42581),a922)),x42582),f315(x42581,f195(f934(f933(x42581,x42581),a922))))),f315(x42581,x42582)) % 209.33/209.62 [4308]E(f335(f335(f23(a1),f335(f335(f23(a1),f335(f335(f86(a1),x43081),x43081)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),x43082),x43082)),a104)),f335(f335(f86(a1),f335(f335(f23(a1),x43081),x43082)),f335(f335(f23(a1),x43081),x43082))) % 209.33/209.62 [4348]E(f335(f335(f23(a1),f335(f335(f86(a1),f335(f335(f86(a1),x43481),x43482)),f335(f335(f86(a1),x43481),x43482))),a104),f335(f335(f86(a1),f335(f335(f86(a1),x43481),x43481)),f335(f335(f23(a1),f335(f335(f86(a1),x43482),x43482)),a104))) % 209.33/209.62 [4373]E(f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),x43731),x43731)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),x43732),x43732)),a104)),f335(f335(f86(a1),f335(f335(f86(a1),x43731),f335(f335(f23(a1),x43732),a104))),f335(f335(f86(a1),x43731),f335(f335(f23(a1),x43732),a104)))) % 209.33/209.62 [4386]E(f335(f335(f23(a1),f335(f335(f86(a1),f335(f335(f23(a1),x43861),x43862)),f335(f335(f23(a1),x43861),x43862))),a104),f335(f335(f23(a1),f335(f335(f23(a1),f335(f335(f86(a1),x43861),x43861)),a104)),f335(f335(f86(a1),x43862),x43862))) % 209.33/209.62 [4387]E(f335(f335(f23(a1),f335(f335(f86(a1),f335(f335(f86(a1),x43871),x43872)),f335(f335(f86(a1),x43871),x43872))),a104),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),x43871),x43871)),a104)),f335(f335(f86(a1),x43872),x43872))) % 209.33/209.62 [4435]E(f335(f107(a1),f335(f335(f41(a927),f335(f335(f87(a927),f335(a111,f335(f81(a1),x44351))),f335(a111,f335(f81(a1),x44352)))),f225(f335(a111,f335(f81(a1),x44351)),f335(a111,f335(f81(a1),x44352))))),f227(x44351,x44352)) % 209.33/209.62 [4480]E(f335(f335(f267(f933(a106,a106),a106,f933(a106,a106),f933(x44801,f933(a106,a106))),f275(f335(a3,f335(f196(f928(x44801)),x44802)))),f335(f335(f8(x44801,f934(f933(a106,a106),f933(x44801,f933(a106,a106))),a106),f260(x44801,f933(a106,a106))),f335(f335(f8(a927,x44801,a106),f335(f171(x44801),x44802)),a20))),f283(x44801,x44802)) % 209.33/209.62 [4560]E(f335(f149(a927,f928(x45601),f335(f7(f928(x45601),a927,a927),f335(f335(f8(a927,f934(a927,a927),f928(x45601)),f242(a927)),f196(f928(x45601)))),f2(a927)),f335(f175(f928(x45601)),f186(x45601,x45602))),f335(f196(f928(f928(x45601))),f335(f143(f928(x45601),f335(f335(f8(a922,a922,f928(x45601)),a330),f335(f335(f7(f928(x45601),f928(x45601),a922),a332),f120(x45601)))),x45602))) % 209.33/209.62 [4566]E(f335(f335(f44(a927,f934(x45661,a922)),f250(f934(a927,a922))),f335(f335(f7(a927,f934(a927,f934(x45661,a922)),f934(x45661,a922)),f335(f335(f8(f934(a927,a922),f934(f934(a927,f934(x45661,a922)),f934(x45661,a922)),a927),f44(a927,f934(x45661,a922))),f310(a927,f2(a927)))),x45662)),f335(f335(f44(a927,f934(x45661,a922)),f250(f934(a927,a922))),x45662)) % 209.33/209.62 [4588]P106(f335(f66(a927),f335(f270(a927),f335(f335(f18(a927,a922,a922),f335(f335(f8(a922,f934(a922,a922),a927),a333),x45881)),f335(f335(f7(a927,a927,a922),f244(a927)),x45882))))) % 209.33/209.62 [4702]E(f335(f270(f933(f928(x47021),f928(x47021))),f335(f265(f928(x47021),f928(x47021),a922),f335(f335(f18(f928(x47021),f934(f928(x47021),a922),f934(f928(x47021),a922)),f335(f335(f8(f934(f928(x47021),f934(a922,a922)),f934(f934(f928(x47021),a922),f934(f928(x47021),a922)),f928(x47021)),f18(f928(x47021),a922,a922)),f335(f335(f8(f934(f928(x47021),a922),f934(f928(x47021),f934(a922,a922)),f928(x47021)),f335(f8(a922,f934(a922,a922),f928(x47021)),a334)),f335(f335(f7(f928(x47021),f934(f928(x47021),a927),f934(f928(x47021),a922)),f335(f335(f8(f934(a927,a922),f934(f934(f928(x47021),a927),f934(f928(x47021),a922)),f928(x47021)),f8(a927,a922,f928(x47021))),f335(f335(f8(a927,f934(a927,a922),f928(x47021)),f244(a927)),f196(f928(x47021))))),f196(f928(x47021)))))),f335(f335(f18(f928(x47021),f934(f928(x47021),a922),f934(f928(x47021),a922)),f335(f335(f8(f934(f928(x47021),f934(a922,a922)),f934(f934(f928(x47021),a922),f934(f928(x47021),a922)),f928(x47021)),f18(f928(x47021),a922,a922)),f335(f335(f8(f934(f928(x47021),a922),f934(f928(x47021),f934(a922,a922)),f928(x47021)),f335(f8(a922,f934(a922,a922),f928(x47021)),a333)),f335(f335(f7(f928(x47021),f934(f928(x47021),a927),f934(f928(x47021),a922)),f335(f335(f8(f934(a927,a922),f934(f934(f928(x47021),a927),f934(f928(x47021),a922)),f928(x47021)),f8(a927,a922,f928(x47021))),f335(f335(f8(a927,f934(a927,a922),f928(x47021)),a332),f196(f928(x47021))))),f196(f928(x47021)))))),f335(f335(f7(f928(x47021),f934(f933(f928(x47021),f928(x47021)),a922),f934(f928(x47021),a922)),f335(f335(f8(f934(f928(x47021),f934(f934(f933(f928(x47021),f928(x47021)),a922),a922)),f934(f934(f933(f928(x47021),f928(x47021)),a922),f934(f928(x47021),a922)),f928(x47021)),f7(f928(x47021),f934(f933(f928(x47021),f928(x47021)),a922),a922)),f335(f335(f8(f934(f928(x47021),f933(f928(x47021),f928(x47021))),f934(f928(x47021),f934(f934(f933(f928(x47021),f928(x47021)),a922),a922)),f928(x47021)),f335(f8(f933(f928(x47021),f928(x47021)),f934(f934(f933(f928(x47021),f928(x47021)),a922),a922),f928(x47021)),f337(f933(f928(x47021),f928(x47021))))),f260(f928(x47021),f928(x47021))))),f152(x47021,x47022)))))),f153(x47021,x47022)) % 209.33/209.62 [4376]E(f335(f335(f86(a1),f335(f335(f86(a1),f335(f335(f87(a1),x43761),x43762)),f335(f335(f87(a1),x43761),x43762))),x43762),f335(f335(f87(a1),f335(f335(f23(a1),f335(f335(f86(a1),x43761),x43761)),a104)),x43762)) % 209.33/209.62 [4479]E(f335(a111,f335(a95,f335(f293(f933(a927,a927),f933(a927,a927),a115),f335(f335(f317(f933(a927,a927)),f335(f335(f260(a927,a927),x44791),x44792)),f195(f934(f933(a927,a927),a922)))))),f335(f335(f23(a927),x44791),x44792)) % 209.33/209.62 [4483]E(f335(f335(f297(x44831,x44831,x44831),f335(f335(f117(f934(f933(x44831,x44831),a922)),x44832),f315(x44831,f195(f934(f933(x44831,x44831),a922))))),f315(x44831,f335(f335(f117(f934(f933(x44831,x44831),a922)),x44832),f315(x44831,f195(f934(f933(x44831,x44831),a922)))))),f315(x44831,x44832)) % 209.33/209.62 [4520]E(f276(x45201,f335(f143(f933(a106,x45201),f335(f265(a106,x45201,a922),f335(f335(f8(a922,f934(x45201,a922),a106),f16(a922,x45201)),f335(f244(a106),f2(a106))))),x45202)),f276(x45201,x45202)) % 209.33/209.62 [4521]E(f274(x45211,f335(f143(f933(a106,x45211),f335(f265(a106,x45211,a922),f335(f335(f8(a922,f934(x45211,a922),a106),f16(a922,x45211)),f335(f244(a106),f2(a106))))),x45212)),f274(x45211,x45212)) % 209.33/209.62 [4523]E(f335(f85(a1),f335(a95,f335(f293(f933(a927,a927),f933(a927,a927),a115),f335(f335(f317(f933(a927,a927)),f335(f335(f260(a927,a927),x45231),x45232)),f195(f934(f933(a927,a927),a922)))))),f335(a95,f335(f293(f933(a927,a927),f933(a927,a927),a115),f335(f335(f317(f933(a927,a927)),f335(f335(f260(a927,a927),x45232),x45231)),f195(f934(f933(a927,a927),a922)))))) % 209.33/209.62 [4579]E(f335(f335(f296(f928(a927),x45791),f152(a927,a248)),f335(f335(f7(x45791,f928(f934(x45791,a927)),f928(a927)),f335(f335(f8(f934(f934(x45791,a927),a927),f934(f928(f934(x45791,a927)),f928(a927)),x45791),f161(f934(x45791,a927),a927)),f335(f7(f934(x45791,a927),x45791,a927),f5(f934(x45791,a927))))),x45792)),f160(x45791,x45792)) % 209.33/209.62 [4600]E(f335(f335(f92(a1,a927),f335(f110(a1),f335(f335(f86(a1),x46001),a104))),f335(f335(f18(a1,a927,a927),f335(f335(f7(a1,a927,f934(a927,a927)),f335(f335(f8(a922,f934(a927,f934(a927,a927)),a1),f103(a927)),a200)),f2(a927))),f335(f335(f8(a927,a927,a1),a119),f335(f335(f8(a927,a927,a1),f335(f241(a927),x46002)),a111)))),f335(f335(f241(a927),f335(a119,x46002)),f335(f110(a927),x46001))) % 209.33/209.62 [4601]E(f335(f335(f92(a1,a927),f335(f110(a1),f335(f335(f86(a1),x46011),a104))),f335(f335(f18(a1,a927,a927),f335(f335(f7(a1,a927,f934(a927,a927)),f335(f335(f8(a922,f934(a927,f934(a927,a927)),a1),f103(a927)),a200)),f335(a119,x46012))),f335(f335(f8(a927,a927,a1),a119),f335(f335(f8(a927,a927,a1),f335(f242(a927),x46012)),a111)))),f335(f335(f242(a927),f335(a119,x46012)),f335(f110(a927),x46011))) % 209.33/209.62 [4621]E(f335(f149(f928(x46211),f928(x46211),f141(x46211),f120(x46211)),f335(f335(f161(f928(x46211),f928(x46211)),f163(f928(x46211),x46211,f120(x46211),f335(f335(f8(f928(x46211),f934(f928(x46211),f928(x46211)),x46211),f16(f928(x46211),f928(x46211))),f335(f335(f7(x46211,f928(x46211),f928(x46211)),f158(x46211)),f120(x46211))))),x46212)),f335(f335(f161(f928(x46211),x46211),f148(x46211)),f335(f143(f928(x46211),f335(f335(f8(a922,a922,f928(x46211)),a330),f335(f335(f7(f928(x46211),f928(x46211),a922),a332),f120(x46211)))),x46212))) % 209.33/209.62 [4685]E(f335(f265(a1,a1,a922),f335(f335(f7(a1,f934(a1,a922),f934(a1,a922)),f335(f335(f8(f934(a1,f934(a922,a922)),f934(f934(a1,a922),f934(a1,a922)),a1),f18(a1,a922,a922)),f335(f335(f8(f934(a1,a922),f934(a1,f934(a922,a922)),a1),f335(f8(a922,f934(a922,a922),a1),a333)),f335(f335(f8(f934(a1,a1),f934(a1,a922),a1),f335(f8(a1,a922,a1),f335(a332,x46851))),f335(f335(f8(a1,f934(a1,a1),a1),f86(a1)),f335(f87(a1),x46852)))))),f335(f335(f18(a1,a922,a922),f335(f335(f8(a922,f934(a922,a922),a1),a333),f335(f335(f8(a922,a922,a1),f335(a338,f335(f335(f244(a1),f2(a1)),x46852))),f335(f335(f18(a1,a922,a922),f335(f335(f8(a922,f934(a922,a922),a1),a333),f335(f243(a1),f2(a1)))),f335(f335(f7(a1,a1,a922),f244(a1)),x46852))))),f335(f335(f8(a922,a922,a1),f335(a338,f335(a330,f335(f335(f244(a1),f2(a1)),x46852)))),f335(f335(f18(a1,a922,a922),f335(f335(f8(a922,f934(a922,a922),a1),a333),f335(f244(a1),x46852))),f335(f335(f7(a1,a1,a922),f243(a1)),f2(a1))))))),f54(x46851,x46852)) % 209.33/209.62 [4688]E(f335(f270(x46881),f335(f335(f8(f934(a927,a922),a922,x46881),f93(a927)),f335(f335(f7(x46881,f934(a927,a922),f934(a927,a922)),f335(f335(f8(f934(a927,f934(a922,a922)),f934(f934(a927,a922),f934(a927,a922)),x46881),f18(a927,a922,a922)),f335(f335(f8(f934(a927,a922),f934(a927,f934(a922,a922)),x46881),f335(f8(a922,f934(a922,a922),a927),a333)),f335(f335(f7(x46881,f934(a927,x46881),f934(a927,a922)),f335(f335(f8(f934(x46881,a922),f934(f934(a927,x46881),f934(a927,a922)),x46881),f8(x46881,a922,a927)),a332)),f335(f171(x46881),x46882))))),f335(f335(f7(a927,a927,a922),f244(a927)),f335(f196(f928(x46881)),x46882))))),f335(f179(x46881),x46882)) % 209.33/209.62 [4493]E(f335(f335(f23(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),x44931),a104)),x44932)),f335(f335(f23(a1),f335(f335(f86(a1),x44931),a104)),x44932))),a104),f335(f335(f23(a1),f335(f335(f86(a1),x44931),x44931)),f335(f335(f23(a1),f335(f335(f86(a1),x44932),x44932)),a104))) % 209.33/209.62 [4616]E(f335(f149(f928(f928(x46161)),f928(f928(x46161)),f141(f928(x46161)),f120(f928(x46161))),f335(f335(f161(f928(x46161),f928(f928(x46161))),f163(f928(f928(x46161)),x46161,f120(f928(x46161)),f335(f16(f934(f928(x46161),f928(f928(x46161))),x46161),f335(f335(f7(f928(x46161),f928(f928(x46161)),f928(f928(x46161))),f158(f928(x46161))),f120(f928(x46161)))))),x46162)),f335(f335(f161(f928(x46161),f928(x46161)),f178(x46161)),f335(f143(f928(x46161),f335(f335(f8(a922,a922,f928(x46161)),a330),f335(f335(f7(f928(x46161),f928(x46161),a922),a332),f120(x46161)))),x46162))) % 209.33/209.62 [4626]E(f335(f335(f92(a1,a927),f335(f110(a1),f335(f335(f86(a1),x46261),a104))),f335(f335(f18(a1,a927,a927),f335(f335(f7(a1,a927,f934(a927,a927)),f335(f335(f8(a922,f934(a927,f934(a927,a927)),a1),f103(a927)),a200)),f2(a927))),f335(f335(f8(a927,a927,a1),a119),f335(f335(f7(a1,a927,a927),f335(f335(f8(a927,f934(a927,a927),a1),f241(a927)),a111)),x46262)))),f335(f335(f241(a927),f335(f110(a927),x46261)),f335(a119,x46262))) % 209.33/209.62 [4627]E(f335(f335(f92(a1,a927),f335(f110(a1),f335(f335(f86(a1),x46271),a104))),f335(f335(f18(a1,a927,a927),f335(f335(f7(a1,a927,f934(a927,a927)),f335(f335(f8(a922,f934(a927,f934(a927,a927)),a1),f103(a927)),a200)),f335(a119,x46272))),f335(f335(f8(a927,a927,a1),a119),f335(f335(f7(a1,a927,a927),f335(f335(f8(a927,f934(a927,a927),a1),f242(a927)),a111)),x46272)))),f335(f335(f242(a927),f335(f110(a927),x46271)),f335(a119,x46272))) % 209.33/209.62 [4615]E(f335(f265(x46151,x46151,a922),f335(f335(f18(x46151,a922,f934(x46151,a922)),f335(f335(f8(f934(x46151,f934(a922,a922)),f934(a922,f934(x46151,a922)),x46151),f7(x46151,a922,a922)),f335(f335(f8(f934(x46151,a922),f934(x46151,f934(a922,a922)),x46151),f335(f8(a922,f934(a922,a922),x46151),a333)),a332))),x46152)),f271(x46151,x46152)) % 209.33/209.62 [4660]E(f335(f335(f41(a927),x46601),f335(f335(f86(a927),f335(f110(a927),f335(f335(f23(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))),a104))),x46602)),f335(f335(f41(a927),x46601),f335(a119,f335(a119,f335(a119,x46602))))) % 209.33/209.62 [4661]E(f50(a927,x46611,f335(f335(f86(a927),f335(f110(a927),f335(f335(f23(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))),a104))),x46612)),f50(a927,x46611,f335(a119,f335(a119,f335(a119,x46612))))) % 209.33/209.62 [4662]E(f50(a927,f335(f335(f86(a927),f335(f110(a927),f335(f335(f23(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))),a104))),x46621),x46622),f50(a927,f335(a119,f335(a119,f335(a119,x46621))),x46622)) % 209.33/209.62 [4676]E(f130(f335(x46761,f335(f335(f87(a106),f335(f110(a106),f335(f335(f23(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))),a104))),x46762))),f335(f209(x46761),x46762)) % 209.33/209.62 [4677]E(f335(f335(f41(a927),f335(f335(f86(a927),f335(f110(a927),f335(f335(f23(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))),a104))),x46771)),x46772),f335(f335(f41(a927),f335(a119,f335(a119,f335(a119,x46771)))),x46772)) % 209.33/209.62 [4742]~E(f29(x47421,x47422,x47423),a26) % 209.33/209.62 [4743]~E(f28(x47431,x47432,x47433),a26) % 209.33/209.62 [4747]~E(f133(x47471,x47472,x47473),f126(x47471)) % 209.33/209.62 [3464]E(f335(f199(x34641,x34642),x34643),f128(x34641,x34642)) % 209.33/209.62 [3483]E(f335(f208(x34831,x34832),x34833),f335(f136(x34831),x34832)) % 209.33/209.62 [3559]E(f335(f335(f161(x35591,x35592),x35593),f120(x35591)),f120(x35592)) % 209.33/209.62 [3599]E(f335(f191(x35991,x35992,x35993),f2(a927)),x35992) % 209.33/209.62 [3601]E(f335(f335(f188(x36011,x36012),x36013),f120(x36012)),f120(f933(x36011,x36012))) % 209.33/209.62 [3616]E(f335(f196(f928(x36161)),f176(x36161,x36162,x36163)),x36162) % 209.33/209.62 [3635]E(f91(x36351,f67(x36351,x36352,x36353)),f335(f68(x36351,x36352),x36353)) % 209.33/209.62 [3639]E(f251(x36391,x36392,f251(x36392,x36391,x36393)),x36393) % 209.33/209.62 [3659]E(f335(f175(x36591),f176(x36591,x36592,x36593)),f176(x36591,x36592,x36593)) % 209.33/209.62 [3686]E(f147(x36861,x36862,f159(x36861,x36863)),f159(x36861,f147(x36861,x36862,x36863))) % 209.33/209.62 [3705]E(f335(f259(f928(x37051),f928(x37051)),f173(x37051,x37052,x37053)),f335(f143(x37051,x37052),x37053)) % 209.33/209.62 [3748]E(f335(f335(f158(x37481),x37482),f176(x37481,x37483,x37482)),f176(x37481,f335(a119,x37483),x37482)) % 209.33/209.62 [3780]E(f192(x37801,x37802,x37803,f2(a927)),x37802) % 209.33/209.62 [3781]E(f17(x37811,x37812,x37813,f2(a106)),x37812) % 209.33/209.62 [3782]E(f19(x37821,x37822,x37823,f2(a106)),x37822) % 209.33/209.62 [3789]E(f170(x37891,x37892,x37893,f120(x37891)),f120(x37892)) % 209.33/209.62 [3790]E(f137(x37901,x37902,x37903,f126(x37901)),f126(x37902)) % 209.33/209.62 [3796]E(f335(f335(f171(x37961),f335(f335(f158(x37961),x37962),x37963)),f2(a927)),x37962) % 209.33/209.62 [3829]E(f64(x38291,x38292,f120(x38291),x38293),f120(f933(x38291,x38292))) % 209.33/209.62 [3849]P25(x38491,x38492,x38493,f195(f934(x38491,a922))) % 209.33/209.62 [3952]E(f273(x39521,x39522,x39523),f335(f260(f934(a106,f934(a922,f931(f929(x39521)))),f933(a106,a106)),f46(x39521))) % 209.33/209.62 [4010]E(f335(f78(x40101,x40102,x40101,x40103),f25(x40101)),x40103) % 209.33/209.62 [4191]P106(f335(f335(f337(f933(x41911,x41911)),f335(f335(f260(x41911,x41911),x41912),x41912)),f315(x41911,x41913))) % 209.33/209.62 [4803]~P106(f335(f335(f337(f933(f928(x48031),f928(x48031))),f335(f335(f260(f928(x48031),f928(x48031)),x48032),f120(x48031))),f152(x48031,x48033))) % 209.33/209.62 [4804]~P106(f335(f335(f337(f933(f928(x48041),f928(x48041))),f335(f335(f260(f928(x48041),f928(x48041)),x48042),f120(x48041))),f154(x48041,x48043))) % 209.33/209.62 [4805]~P106(f335(f335(f337(f933(f928(x48051),f928(x48051))),f335(f335(f260(f928(x48051),f928(x48051)),x48052),f120(x48051))),f164(x48051,x48053))) % 209.33/209.62 [4806]~P106(f335(f335(f337(f933(f928(x48061),f928(x48061))),f335(f335(f260(f928(x48061),f928(x48061)),f120(x48061)),x48062)),f152(x48061,x48063))) % 209.33/209.62 [4807]~P106(f335(f335(f337(f933(f928(x48071),f928(x48071))),f335(f335(f260(f928(x48071),f928(x48071)),f120(x48071)),x48072)),f164(x48071,x48073))) % 209.33/209.62 [3534]E(f335(f335(f210(x35341),x35342),x35343),f211(x35341,f224(x35342,x35343))) % 209.33/209.62 [3588]E(f335(f294(x35881,x35882),f335(f294(x35882,x35881),x35883)),x35883) % 209.33/209.62 [3611]E(f335(f335(f188(x36111,x36112),f120(x36111)),x36113),f120(f933(x36111,x36112))) % 209.33/209.62 [3614]E(f183(x36141,x36142,f335(f290(a927),x36143)),f335(f335(f182(x36141),x36143),x36142)) % 209.33/209.62 [3632]E(f159(x36321,f335(f143(x36321,x36322),x36323)),f335(f143(x36321,x36322),f159(x36321,x36323))) % 209.33/209.62 [3633]E(f335(f292(x36331,x36332),f335(f294(x36332,x36331),x36333)),f335(f272(x36332,x36331),x36333)) % 209.33/209.62 [3634]E(f335(f272(x36341,x36342),f335(f294(x36342,x36341),x36343)),f335(f292(x36342,x36341),x36343)) % 209.33/209.62 [3652]E(f335(f143(x36521,x36522),f335(f175(x36521),x36523)),f335(f175(x36521),f335(f143(x36521,x36522),x36523))) % 209.33/209.62 [3665]E(f335(f335(f145(x36651),x36652),f335(f178(x36651),x36653)),f335(f335(f145(x36651),f335(a119,x36652)),x36653)) % 209.33/209.62 [3681]E(f30(f28(x36811,x36812,x36813)),f335(f335(f86(a927),f30(x36813)),f335(a119,f2(a927)))) % 209.33/209.62 [3682]E(f335(f318(x36821,x36822,x36823),f195(f934(x36821,a922))),f195(f934(x36822,a922))) % 209.33/209.62 [3683]E(f335(f319(x36831,x36832,x36833),f195(f934(x36832,a922))),f195(f934(x36831,a922))) % 209.33/209.62 [3684]E(f335(f319(x36841,x36842,x36843),f250(f934(x36842,a922))),f250(f934(x36841,a922))) % 209.33/209.62 [3685]E(f335(f293(x36851,x36852,x36853),f195(f934(x36851,a922))),f195(f934(x36852,a922))) % 209.33/209.62 [3711]E(f127(x37111,f133(f929(x37111),x37112,x37113)),f123(x37111,x37112,f127(x37111,x37113))) % 209.33/209.62 [3713]E(f335(f335(f317(x37131),x37132),f335(f179(x37131),x37133)),f335(f179(x37131),f147(x37131,x37132,x37133))) % 209.33/209.62 [3800]E(f335(f196(a924),f28(x38001,x38002,x38003)),f335(f335(f86(a927),f335(f196(a924),x38003)),f335(a119,f2(a927)))) % 209.33/209.62 [3801]E(f335(f318(f933(x38011,x38012),x38012,f264(x38011,x38012)),x38013),f335(f292(x38011,x38012),x38013)) % 209.33/209.62 [3802]E(f335(f318(f933(x38021,x38022),x38021,f259(x38021,x38022)),x38023),f335(f272(x38021,x38022),x38023)) % 209.33/209.62 [3821]E(f335(f179(x38211),f176(x38211,f335(a119,x38212),x38213)),f335(f335(f317(x38211),x38213),f195(f934(x38211,a922)))) % 209.33/209.62 [3878]E(f335(f335(f260(x38781,x38782),f335(f259(x38781,x38782),x38783)),f335(f264(x38781,x38782),x38783)),x38783) % 209.33/209.62 [3885]E(f335(f196(f929(x38851)),f133(x38851,x38852,x38853)),f335(f335(f86(a927),f335(f196(f929(x38851)),x38853)),f335(a119,f2(a927)))) % 209.33/209.62 [3887]E(f335(f335(f265(x38871,x38872,x38871),f16(x38871,x38872)),x38873),f335(f259(x38871,x38872),x38873)) % 209.33/209.62 [3965]E(f30(f29(x39651,x39652,x39653)),f335(f335(f86(a927),f335(f335(f86(a927),f30(x39652)),f30(x39653))),f335(a119,f2(a927)))) % 209.33/209.62 [4015]E(f335(f78(x40151,x40151,x40152,f25(x40151)),x40153),x40153) % 209.33/209.62 [4023]E(f335(f335(f141(x40231),f176(x40231,x40232,x40233)),f335(f335(f158(x40231),x40233),f120(x40231))),f335(f335(f158(x40231),x40233),f176(x40231,x40232,x40233))) % 209.33/209.62 [4124]E(f335(f196(a924),f29(x41241,x41242,x41243)),f335(f335(f86(a927),f335(f335(f86(a927),f335(f196(a924),x41242)),f335(f196(a924),x41243))),f335(a119,f2(a927)))) % 209.33/209.62 [4200]P106(f335(f335(f243(f934(x42001,a922)),f335(f179(x42001),f335(f143(x42001,x42002),x42003))),f335(f179(x42001),x42003))) % 209.33/209.62 [4243]P106(f335(f335(f243(f934(x42431,a922)),f335(f179(x42431),f335(f335(f182(x42431),x42432),x42433))),f335(f179(x42431),x42433))) % 209.33/209.62 [4244]P106(f335(f335(f243(f934(x42441,a922)),f335(f179(x42441),f335(f335(f145(x42441),x42442),x42443))),f335(f179(x42441),x42443))) % 209.33/209.62 [4248]P106(f335(f335(f243(f934(x42481,a922)),f335(f179(x42481),f183(x42481,x42482,x42483))),f335(f179(x42481),x42482))) % 209.33/209.62 [4249]P106(f335(f335(f243(f934(x42491,a922)),f335(f179(x42491),f177(x42491,x42492,x42493))),f335(f179(x42491),x42493))) % 209.33/209.62 [4270]P25(f933(x42701,x42702),f933(x42702,x42701),f335(f265(x42701,x42702,f933(x42702,x42701)),f335(f7(x42702,x42701,f933(x42702,x42701)),f260(x42702,x42701))),x42703) % 209.33/209.62 [4281]E(f335(f335(f335(f190(f928(x42811),f928(x42811)),f50(a927,x42812,f335(f196(f928(x42811)),x42813))),f174(x42811)),x42813),f335(f335(f335(f190(f928(x42811),f928(x42811)),x42812),f174(x42811)),x42813)) % 209.33/209.62 [4325]P106(f335(f335(f337(f933(f928(x43251),f928(x43251))),f335(f335(f260(f928(x43251),f928(x43251)),x43252),x43252)),f165(x43251,f315(x43251,x43253)))) % 209.33/209.62 [4466]E(f91(f933(x44661,x44662),f335(f335(f18(f933(x44661,x44662),x44662,a922),f335(f335(f8(x44661,f934(x44662,a922),f933(x44661,x44662)),x44663),f259(x44661,x44662))),f264(x44661,x44662))),f91(f933(x44661,x44662),f335(f265(x44661,x44662,a922),x44663))) % 209.33/209.62 [4467]E(f96(f933(x44671,x44672),f335(f335(f18(f933(x44671,x44672),x44672,a922),f335(f335(f8(x44671,f934(x44672,a922),f933(x44671,x44672)),x44673),f259(x44671,x44672))),f264(x44671,x44672))),f96(f933(x44671,x44672),f335(f265(x44671,x44672,a922),x44673))) % 209.33/209.62 [4500]E(f335(f335(f296(f933(a927,x45001),x45001),f327(a927,x45001,a248,x45002)),f335(f335(f18(x45001,x45001,f933(a927,x45001)),f335(f335(f8(a927,f934(x45001,f933(a927,x45001)),x45001),f260(a927,x45001)),x45003)),f5(x45001))),f329(x45001,x45003,x45002)) % 209.33/209.62 [4562]E(f335(f266(x45621,x45621,x45622,x45622,f5(x45621),f5(x45622)),x45623),x45623) % 209.33/209.62 [4635]E(f335(f149(f928(f928(x46351)),f928(f928(x46351)),f141(f928(x46351)),f120(f928(x46351))),f335(f335(f161(f928(x46351),f928(f928(x46351))),f335(f335(f7(f928(x46351),f928(x46351),f928(f928(x46351))),f335(f335(f8(f934(x46351,f928(x46351)),f934(f928(x46351),f928(f928(x46351))),f928(x46351)),f161(x46351,f928(x46351))),f335(f7(x46351,f928(x46351),f928(x46351)),f158(x46351)))),x46352)),f60(x46351,x46353,x46352))),f60(x46351,f335(a119,x46353),x46352)) % 209.33/209.62 [4693]E(f232(a927,f933(x46931,f929(x46931)),f2(a927),f335(f265(x46931,f929(x46931),a927),f335(f335(f7(x46931,a927,f934(f929(x46931),a927)),f335(f335(f8(f934(f929(x46931),f934(a927,a927)),f934(a927,f934(f929(x46931),a927)),x46931),f7(f929(x46931),a927,a927)),f335(f335(f8(f934(f929(x46931),a927),f934(f929(x46931),f934(a927,a927)),x46931),f335(f8(a927,f934(a927,a927),f929(x46931)),f86(a927))),f335(f335(f7(x46931,f934(f929(x46931),a927),f934(f929(x46931),a927)),f335(f335(f8(f934(a927,a927),f934(f934(f929(x46931),a927),f934(f929(x46931),a927)),x46931),f8(a927,a927,f929(x46931))),f335(f335(f8(a927,f934(a927,a927),x46931),f86(a927)),x46932))),f132(x46931,x46932))))),f84(a927))),f335(f142(x46931),x46933)),f335(f132(x46931,x46932),x46933)) % 209.33/209.62 [4701]E(f335(f335(f92(a1,x47011),f227(f335(f335(f78(f933(a1,a1),a1,x47011,f264(a1,a1)),f221(x47011)),x47012),f335(f335(f78(f933(a1,a1),a1,x47011,f264(a1,a1)),f221(x47011)),x47013))),f335(f335(f18(a1,a1,x47011),f335(f335(f8(a1,f934(a1,x47011),a1),f210(x47011)),f335(f335(f18(a1,a1,a1),f335(f335(f8(a1,f934(a1,a1),a1),f86(a1)),f335(f335(f8(a1,a1,a1),f335(f87(a1),f335(f335(f78(f933(a1,a1),a1,x47011,f259(a1,a1)),f221(x47011)),x47012))),f335(f335(f7(a1,a1,a1),f41(a1)),f335(f335(f78(f933(a1,a1),a1,x47011,f264(a1,a1)),f221(x47011)),x47012))))),f335(f335(f8(a1,a1,a1),f335(f87(a1),f335(f335(f78(f933(a1,a1),a1,x47011,f259(a1,a1)),f221(x47011)),x47013))),f335(f335(f7(a1,a1,a1),f41(a1)),f335(f335(f78(f933(a1,a1),a1,x47011,f264(a1,a1)),f221(x47011)),x47013)))))),f5(a1))),f239(x47011,x47012,x47013)) % 209.33/209.62 [4738]~E(f335(f335(f158(x47381),x47382),x47383),x47383) % 209.33/209.62 [4745]~E(f335(f335(f158(x47451),x47452),x47453),f120(x47451)) % 209.33/209.62 [4763]~E(f335(f335(f317(x47631),x47632),x47633),f195(f934(x47631,a922))) % 209.33/209.62 [4785]~E(f335(f318(x47851,f934(x47851,a922),x47852),x47853),f335(f316(x47851),x47853)) % 209.33/209.62 [3593]E(f335(f335(f166(x35931,f120(x35931)),x35932),x35933),f120(x35931)) % 209.33/209.62 [3594]E(f335(f148(x35941),f335(f335(f158(x35941),x35942),x35943)),x35942) % 209.33/209.62 [3595]E(f335(f178(x35951),f335(f335(f158(x35951),x35952),x35953)),x35953) % 209.33/209.62 [3638]E(f335(f335(f145(x36381),f84(a927)),f335(f335(f158(x36381),x36382),x36383)),x36383) % 209.33/209.62 [3672]E(f121(x36721,f335(f335(f145(x36721),x36722),x36723)),f335(f335(f145(x36721),x36722),f121(x36721,x36723))) % 209.33/209.62 [3674]E(f335(f335(f166(x36741,x36742),x36743),f335(f335(f171(x36741),x36742),x36743)),x36742) % 209.33/209.62 [3695]E(f335(f335(f317(x36951),x36952),f335(f335(f317(x36951),x36952),x36953)),f335(f335(f317(x36951),x36952),x36953)) % 209.33/209.62 [3708]E(f335(f335(f317(x37081),x37082),f335(f179(x37081),x37083)),f335(f179(x37081),f335(f335(f158(x37081),x37082),x37083))) % 209.33/209.62 [3710]E(f335(f335(f145(x37101),x37102),f335(f178(x37101),x37103)),f335(f178(x37101),f335(f335(f145(x37101),x37102),x37103))) % 209.33/209.62 [3722]E(f335(f335(f182(x37221),f84(a927)),f335(f335(f158(x37221),x37222),x37223)),f335(f335(f158(x37221),x37222),f120(x37221))) % 209.33/209.62 [3765]E(f335(f68(x37651,x37652),f335(f335(f317(x37651),x37653),f195(f934(x37651,a922)))),x37653) % 209.33/209.62 [3811]E(f335(f335(f86(a927),x38111),f335(f335(f86(a927),x38112),x38113)),f335(f335(f86(a927),x38112),f335(f335(f86(a927),x38111),x38113))) % 209.33/209.62 [3812]E(f335(f335(f86(a1),x38121),f335(f335(f86(a1),x38122),x38123)),f335(f335(f86(a1),x38122),f335(f335(f86(a1),x38121),x38123))) % 209.33/209.62 [3817]E(f335(f335(f262(x38171,x38172),f195(f934(x38171,a922))),x38173),f195(f934(f933(x38171,x38172),a922))) % 209.33/209.62 [3841]E(f335(f335(f108(f934(x38411,a922)),x38412),x38413),f335(f335(f108(f934(x38411,a922)),x38413),x38412)) % 209.33/209.62 [3842]E(f335(f335(f117(f934(x38421,a922)),x38422),x38423),f335(f335(f117(f934(x38421,a922)),x38423),x38422)) % 209.33/209.62 [3844]E(f335(f335(f141(x38441),x38442),f335(f335(f158(x38441),x38443),f120(x38441))),f335(f174(x38441),f335(f335(f158(x38441),x38443),x38442))) % 209.33/209.62 [3845]E(f335(f335(f141(x38451),f335(f175(x38451),x38452)),f335(f175(x38451),x38453)),f335(f175(x38451),f335(f335(f141(x38451),x38453),x38452))) % 209.33/209.62 [3855]E(f335(f178(x38551),f335(f335(f182(x38551),f335(a119,x38552)),x38553)),f335(f335(f182(x38551),x38552),f335(f178(x38551),x38553))) % 209.33/209.62 [3863]P106(f335(f335(f337(x38631),x38632),f335(f335(f317(x38631),x38632),x38633))) % 209.33/209.62 [3867]E(f335(f335(f45(x38671,f934(x38672,a922)),f195(f934(x38671,a922))),x38673),f250(f934(x38672,a922))) % 209.33/209.62 [3870]E(f335(f293(x38701,x38701,f271(x38701,x38702)),x38703),f335(f335(f108(f934(x38701,a922)),x38702),x38703)) % 209.33/209.62 [3884]E(f335(f196(f928(x38841)),f335(f335(f158(x38841),x38842),x38843)),f335(f335(f86(a927),f335(f196(f928(x38841)),x38843)),f335(a119,f2(a927)))) % 209.33/209.62 [3889]E(f121(x38891,f335(f335(f141(x38891),x38892),f335(f335(f158(x38891),x38893),f120(x38891)))),x38892) % 209.33/209.62 [3890]E(f151(x38901,f335(f335(f141(x38901),x38902),f335(f335(f158(x38901),x38903),f120(x38901)))),x38903) % 209.33/209.62 [3899]E(f335(f335(f141(x38991),f335(f335(f182(x38991),x38992),x38993)),f335(f335(f145(x38991),x38992),x38993)),x38993) % 209.33/209.62 [3908]E(f335(f335(f23(a927),f335(f335(f86(a927),x39081),x39082)),f335(f335(f86(a927),x39083),x39082)),f335(f335(f23(a927),x39081),x39083)) % 209.33/209.62 [3909]E(f335(f335(f23(a927),f335(f335(f86(a927),x39091),x39092)),f335(f335(f86(a927),x39091),x39093)),f335(f335(f23(a927),x39092),x39093)) % 209.33/209.62 [3915]E(f335(f335(f141(x39151),f335(f175(x39151),x39152)),f335(f335(f158(x39151),x39153),f120(x39151))),f335(f175(x39151),f335(f335(f158(x39151),x39153),x39152))) % 209.33/209.62 [3917]E(f335(f335(f86(a927),f335(f196(f928(x39171)),x39172)),f335(f196(f928(x39171)),x39173)),f335(f196(f928(x39171)),f335(f335(f141(x39171),x39172),x39173))) % 209.33/209.62 [3920]E(f335(f335(f86(a927),f335(f196(f928(x39201)),x39202)),f335(f196(f928(x39201)),x39203)),f335(f196(f928(x39201)),f180(x39201,x39202,x39203))) % 209.33/209.62 [3927]E(f335(f335(f117(f934(x39271,a922)),f335(f179(x39271),x39272)),f335(f179(x39271),x39273)),f335(f179(x39271),f335(f335(f141(x39271),x39272),x39273))) % 209.33/209.62 [3928]E(f50(a927,f335(f335(f87(a927),x39281),x39282),f335(f335(f87(a927),x39281),x39283)),f335(f335(f87(a927),x39281),f50(a927,x39282,x39283))) % 209.33/209.62 [3940]E(f335(f335(f182(x39401),f335(f335(f23(a927),x39402),f84(a927))),f335(f178(x39401),x39403)),f335(f178(x39401),f335(f335(f182(x39401),x39402),x39403))) % 209.33/209.62 [3945]E(f335(f335(f108(f934(x39451,a922)),x39452),f335(f85(f934(x39451,a922)),x39453)),f335(f335(f23(f934(x39451,a922)),x39452),x39453)) % 209.33/209.62 [3946]E(f335(f335(f23(f934(x39461,a922)),x39462),f335(f85(f934(x39461,a922)),x39463)),f335(f335(f108(f934(x39461,a922)),x39462),x39463)) % 209.33/209.62 [3969]E(f335(f335(f262(x39691,x39692),x39693),f335(f16(f934(x39692,a922),x39691),f195(f934(x39692,a922)))),f195(f934(f933(x39691,x39692),a922))) % 209.33/209.62 [3971]E(f335(f335(f23(a927),f335(f335(f87(a927),x39711),x39712)),f335(f335(f87(a927),x39711),x39713)),f335(f335(f87(a927),x39711),f335(f335(f23(a927),x39712),x39713))) % 209.33/209.62 [3972]E(f335(f335(f86(a927),f335(f335(f87(a927),x39721),x39722)),f335(f335(f87(a927),x39721),x39723)),f335(f335(f87(a927),x39721),f335(f335(f86(a927),x39722),x39723))) % 209.33/209.62 [3973]E(f335(f335(f23(a1),f335(f335(f87(a1),x39731),x39732)),f335(f335(f87(a1),x39731),x39733)),f335(f335(f87(a1),x39731),f335(f335(f23(a1),x39732),x39733))) % 209.33/209.62 [3974]E(f335(f335(f86(a1),f335(f335(f87(a1),x39741),x39742)),f335(f335(f87(a1),x39741),x39743)),f335(f335(f87(a1),x39741),f335(f335(f86(a1),x39742),x39743))) % 209.33/209.62 [3975]E(f335(f335(f87(a1),f335(f335(f252(a1),x39751),x39752)),f335(f335(f252(a1),x39751),x39753)),f335(f335(f252(a1),x39751),f335(f335(f86(a927),x39752),x39753))) % 209.33/209.62 [3989]E(f335(f335(f44(x39891,f934(x39892,a922)),x39893),f335(f16(f934(x39892,a922),x39891),f195(f934(x39892,a922)))),f195(f934(x39892,a922))) % 209.33/209.62 [3991]E(f50(a927,f335(f335(f87(a927),x39911),x39912),f335(f335(f87(a927),x39913),x39912)),f335(f335(f87(a927),f50(a927,x39911,x39913)),x39912)) % 209.33/209.62 [3996]E(f50(a1,f335(f335(f23(a1),x39961),f50(a1,x39962,x39963)),x39963),f50(a1,f335(f335(f23(a1),x39961),x39962),x39963)) % 209.33/209.62 [3997]E(f50(a1,f335(f335(f87(a1),x39971),f50(a1,x39972,x39973)),x39973),f50(a1,f335(f335(f87(a1),x39971),x39972),x39973)) % 209.33/209.62 [3998]P106(f335(f335(f243(f934(x39981,a922)),x39982),f335(f335(f317(x39981),x39983),x39982))) % 209.33/209.62 [4075]E(f335(f335(f44(f934(x40751,a922),f934(x40751,a922)),x40752),f335(f108(f934(x40751,a922)),x40753)),f335(f335(f108(f934(x40751,a922)),x40753),f42(f934(x40751,a922),x40752))) % 209.33/209.62 [4076]E(f335(f335(f45(f934(x40761,a922),f934(x40761,a922)),x40762),f335(f117(f934(x40761,a922)),x40763)),f335(f335(f117(f934(x40761,a922)),x40763),f43(f934(x40761,a922),x40762))) % 209.33/209.62 [4088]E(f335(f179(x40881),f335(f335(f335(f190(f928(x40881),f928(x40881)),x40882),f174(x40881)),x40883)),f335(f179(x40881),x40883)) % 209.33/209.62 [4092]E(f335(f335(f182(x40921),f335(f196(f928(x40921)),f184(x40921,x40922,x40923))),x40923),f184(x40921,x40922,x40923)) % 209.33/209.62 [4096]E(f335(f196(f928(x40961)),f335(f335(f335(f190(f928(x40961),f928(x40961)),x40962),f174(x40961)),x40963)),f335(f196(f928(x40961)),x40963)) % 209.33/209.62 [4099]E(f335(f335(f265(x40991,x40992,x40992),f335(f16(f934(x40992,x40992),x40991),f5(x40992))),x40993),f335(f264(x40991,x40992),x40993)) % 209.33/209.62 [4106]E(f50(a1,f335(f335(f23(a1),f50(a1,x41061,x41062)),x41063),x41062),f50(a1,f335(f335(f23(a1),x41061),x41063),x41062)) % 209.33/209.62 [4107]E(f50(a1,f335(f335(f252(a1),f50(a1,x41071,x41072)),x41073),x41072),f50(a1,f335(f335(f252(a1),x41071),x41073),x41072)) % 209.33/209.62 [4110]E(f335(f335(f44(f934(f933(x41101,x41102),a922),f934(x41102,a922)),x41103),f292(x41101,x41102)),f335(f292(x41101,x41102),f42(f934(f933(x41101,x41102),a922),x41103))) % 209.33/209.62 [4111]E(f335(f335(f44(f934(f933(x41111,x41112),a922),f934(x41111,a922)),x41113),f272(x41111,x41112)),f335(f272(x41111,x41112),f42(f934(f933(x41111,x41112),a922),x41113))) % 209.33/209.62 [4135]E(f335(f78(x41351,x41351,x41351,x41352),f335(f335(f190(x41351,x41351),x41353),x41352)),f335(f335(f190(x41351,x41351),f335(a119,x41353)),x41352)) % 209.33/209.62 [4155]E(f335(f335(f145(x41551),f335(f335(f23(a927),f335(f196(f928(x41551)),x41552)),x41553)),f335(f175(x41551),x41552)),f335(f175(x41551),f335(f335(f182(x41551),x41553),x41552))) % 209.33/209.62 [4156]E(f335(f335(f182(x41561),f335(f335(f23(a927),f335(f196(f928(x41561)),x41562)),x41563)),f335(f175(x41561),x41562)),f335(f175(x41561),f335(f335(f145(x41561),x41563),x41562))) % 209.33/209.62 [4158]E(f335(f335(f86(a927),f335(f172(a927),f335(f335(f161(x41581,a927),x41582),x41583))),f335(f196(f928(x41581)),x41583)),f162(x41581,x41582,x41583)) % 209.33/209.62 [4178]E(f335(f174(x41781),f335(f335(f335(f190(f928(x41781),f928(x41781)),x41782),f174(x41781)),x41783)),f335(f335(f335(f190(f928(x41781),f928(x41781)),f335(a119,x41782)),f174(x41781)),x41783)) % 209.33/209.62 [4192]P106(f335(f335(f243(a927),f335(f196(f928(x41921)),f335(f143(x41921,x41922),x41923))),f335(f196(f928(x41921)),x41923))) % 209.33/209.62 [4208]E(f335(f335(f117(f934(f934(x42081,a922),a922)),f335(f316(x42081),x42082)),f335(f318(f934(x42081,a922),f934(x42081,a922),f335(f317(x42081),x42083)),f335(f316(x42081),x42082))),f335(f316(x42081),f335(f335(f317(x42081),x42083),x42082))) % 209.33/209.62 [4240]P106(f335(f335(f243(a927),f335(f196(f928(x42401)),f184(x42401,x42402,x42403))),f335(f196(f928(x42401)),x42403))) % 209.33/209.62 [4247]E(f335(f272(x42471,x42472),f335(f270(f933(x42471,x42472)),f335(f265(x42471,x42472,a922),x42473))),f335(f270(x42471),f335(f335(f8(f934(x42472,a922),a922,x42471),f93(x42472)),x42473))) % 209.33/209.62 [4259]E(f335(f318(a927,a927,f335(f335(f7(a927,a927,a927),f86(a927)),x42591)),f311(a927,x42592,x42593)),f311(a927,f335(f335(f86(a927),x42592),x42591),f335(f335(f86(a927),x42593),x42591))) % 209.33/209.62 [4273]E(f335(f318(a927,a927,f335(f335(f7(a927,a927,a927),f86(a927)),x42731)),f335(f310(a927,x42732),x42733)),f335(f310(a927,f335(f335(f86(a927),x42732),x42731)),f335(f335(f86(a927),x42733),x42731))) % 209.33/209.62 [4291]E(f335(f335(f188(x42911,x42912),f335(f335(f161(f933(x42911,x42912),x42911),f259(x42911,x42912)),x42913)),f335(f335(f161(f933(x42911,x42912),x42912),f264(x42911,x42912)),x42913)),x42913) % 209.33/209.62 [4296]E(f335(f335(f86(a927),f335(f335(f87(a927),x42961),f50(a927,f335(f335(f41(a927),x42962),x42961),x42963))),f50(a927,x42962,x42961)),f50(a927,x42962,f335(f335(f87(a927),x42961),x42963))) % 209.33/209.62 [4309]E(f335(f335(f141(x43091),x43092),f335(f149(f928(x43091),f928(x43091),f141(x43091),f120(x43091)),x43093)),f335(f149(f928(x43091),f928(x43091),f141(x43091),x43092),x43093)) % 209.33/209.62 [4330]P106(f335(f335(f337(f933(x43301,x43301)),f335(f335(f260(x43301,x43301),x43302),x43302)),f335(f335(f190(f933(x43301,x43301),a922),f2(a927)),x43303))) % 209.33/209.62 [4335]E(f335(f270(x43351),f335(f335(f8(f934(x43352,a922),a922,x43351),f93(x43352)),f335(f7(x43352,x43351,a922),x43353))),f335(f292(x43352,x43351),f335(f270(f933(x43352,x43351)),f335(f265(x43352,x43351,a922),x43353)))) % 209.33/209.62 [4352]E(f335(f335(f117(f934(x43521,a922)),f335(f335(f44(a927,f934(x43521,a922)),f311(a927,f84(a927),x43522)),x43523)),f335(x43523,f2(a927))),f335(f335(f44(a927,f934(x43521,a922)),f335(f309(a927),x43522)),x43523)) % 209.33/209.62 [4367]E(f335(f149(f928(x43671),f928(x43671),f141(x43671),f120(x43671)),f335(f335(f161(f928(x43671),f928(x43671)),f143(x43671,x43672)),x43673)),f335(f143(x43671,x43672),f335(f149(f928(x43671),f928(x43671),f141(x43671),f120(x43671)),x43673))) % 209.33/209.62 [4371]E(f335(f264(f928(x43711),f928(x43711)),f173(x43711,x43712,x43713)),f335(f143(x43711,f335(f78(a922,a922,x43711,a330),x43712)),x43713)) % 209.33/209.62 [4381]P24(x43811,x43812,f335(f335(f317(f926(x43811)),f98(x43811,x43813,a26,x43813)),f195(f934(f926(x43811),a922)))) % 209.33/209.62 [4418]E(f335(f335(f86(a1),f335(f335(f86(a1),f335(f335(f87(a1),x44181),f335(f335(f41(a1),x44182),x44181))),f50(a1,x44182,x44181))),x44183),f335(f335(f86(a1),x44182),x44183)) % 209.33/209.62 [4455]E(f335(f335(f86(a1),f335(f335(f86(a1),f335(f335(f87(a1),f335(f335(f41(a1),x44551),x44552)),x44552)),f50(a1,x44551,x44552))),x44553),f335(f335(f86(a1),x44551),x44553)) % 209.33/209.62 [4481]E(f91(f933(x44811,x44812),f335(f265(x44811,x44812,a922),f335(f335(f8(f934(x44812,f933(x44811,x44812)),f934(x44812,a922),x44811),f335(f8(f933(x44811,x44812),a922,x44812),x44813)),f260(x44811,x44812)))),f91(f933(x44811,x44812),x44813)) % 209.33/209.62 [4482]E(f96(f933(x44821,x44822),f335(f265(x44821,x44822,a922),f335(f335(f8(f934(x44822,f933(x44821,x44822)),f934(x44822,a922),x44821),f335(f8(f933(x44821,x44822),a922,x44822),x44823)),f260(x44821,x44822)))),f96(f933(x44821,x44822),x44823)) % 209.33/209.62 [4509]P106(f335(f335(f243(f934(x45091,a922)),f42(f934(x45091,a922),f335(f335(f108(f934(f934(x45091,a922),a922)),x45092),x45093))),f335(f335(f108(f934(x45091,a922)),f42(f934(x45091,a922),x45092)),f42(f934(x45091,a922),x45093)))) % 209.33/209.62 [4510]E(f335(f175(x45101),f335(f335(f335(f190(f928(x45101),f928(x45101)),f335(f335(f23(a927),f335(f196(f928(x45101)),x45102)),f50(a927,x45103,f335(f196(f928(x45101)),x45102)))),f174(x45101)),x45102)),f335(f335(f335(f190(f928(x45101),f928(x45101)),x45103),f174(x45101)),f335(f175(x45101),x45102))) % 209.33/209.62 [4547]P106(f335(f335(f243(a927),f335(f196(f928(x45471)),f335(f335(f145(x45471),f335(f196(f928(x45471)),f184(x45471,x45472,x45473))),x45473))),f335(f196(f928(x45471)),x45473))) % 209.33/209.62 [4797]~P106(f335(f67(x47971,x47972,f195(f934(x47971,a922))),x47973)) % 209.33/209.62 [4802]~P106(f335(f335(f337(f933(x48021,x48021)),f335(f335(f260(x48021,x48021),x48022),x48023)),f160(x48021,f120(f934(x48021,a927))))) % 209.33/209.62 [3856]E(f335(f196(f928(x38561)),f335(f335(f182(x38561),x38562),x38563)),f335(f335(f241(a927),f335(f196(f928(x38561)),x38563)),x38562)) % 209.33/209.62 [3857]E(f335(f196(f928(x38571)),f335(f335(f145(x38571),x38572),x38573)),f335(f335(f23(a927),f335(f196(f928(x38571)),x38573)),x38572)) % 209.33/209.62 [3883]E(f335(f196(f928(f928(x38831))),f60(x38831,x38832,x38833)),f335(f335(f252(a927),f335(f196(f928(x38831)),x38833)),x38832)) % 209.33/209.62 [3901]E(f335(f335(f41(a927),f335(f335(f41(a927),x39011),x39012)),x39013),f335(f335(f41(a927),x39011),f335(f335(f87(a927),x39012),x39013))) % 209.33/209.62 [3902]E(f335(f335(f23(a927),f335(f335(f23(a927),x39021),x39022)),x39023),f335(f335(f23(a927),x39021),f335(f335(f86(a927),x39022),x39023))) % 209.33/209.62 [3903]E(f335(f335(f87(a927),f335(f335(f87(a927),x39031),x39032)),x39033),f335(f335(f87(a927),x39031),f335(f335(f87(a927),x39032),x39033))) % 209.33/209.62 [3904]E(f335(f335(f87(a1),f335(f335(f87(a1),x39041),x39042)),x39043),f335(f335(f87(a1),x39041),f335(f335(f87(a1),x39042),x39043))) % 209.33/209.62 [3905]E(f335(f335(f86(a927),f335(f335(f86(a927),x39051),x39052)),x39053),f335(f335(f86(a927),x39051),f335(f335(f86(a927),x39052),x39053))) % 209.33/209.62 [3906]E(f335(f335(f86(a1),f335(f335(f86(a1),x39061),x39062)),x39063),f335(f335(f86(a1),x39061),f335(f335(f86(a1),x39062),x39063))) % 209.33/209.62 [3907]E(f335(f335(f252(a1),f335(f335(f252(a1),x39071),x39072)),x39073),f335(f335(f252(a1),x39071),f335(f335(f87(a927),x39072),x39073))) % 209.33/209.62 [3926]E(f169(x39261,f335(f335(f158(f934(x39261,a922)),x39262),x39263)),f181(x39261,x39262,f169(x39261,x39263))) % 209.33/209.62 [3970]E(f335(f335(f23(a927),f335(f335(f23(a927),x39701),x39702)),x39703),f335(f335(f23(a927),f335(f335(f23(a927),x39701),x39703)),x39702)) % 209.33/209.62 [3978]E(f335(f335(f108(f934(x39781,a922)),x39782),f335(f335(f23(f934(x39781,a922)),x39783),x39782)),f195(f934(x39781,a922))) % 209.33/209.62 [3982]E(f335(f335(f161(a927,x39821),f335(f16(x39821,a927),x39822)),f146(a927,f335(f310(a927,f2(a927)),x39823))),f176(x39821,x39823,x39822)) % 209.33/209.62 [4021]E(f43(f934(x40211,a922),f335(f335(f317(f934(x40211,a922)),x40212),x40213)),f335(f335(f108(f934(x40211,a922)),x40212),f43(f934(x40211,a922),x40213))) % 209.33/209.62 [4022]E(f42(f934(x40221,a922),f335(f335(f317(f934(x40221,a922)),x40222),x40223)),f335(f335(f117(f934(x40221,a922)),x40222),f42(f934(x40221,a922),x40223))) % 209.33/209.62 [4024]E(f176(x40241,f335(f196(f928(x40241)),f335(f143(x40241,f335(a332,x40242)),x40243)),x40242),f335(f143(x40241,f335(a332,x40242)),x40243)) % 209.33/209.62 [4026]E(f335(f335(f23(a927),f335(f335(f87(a927),x40261),x40262)),f335(f335(f87(a927),x40263),x40262)),f335(f335(f87(a927),f335(f335(f23(a927),x40261),x40263)),x40262)) % 209.33/209.62 [4027]E(f335(f335(f86(a927),f335(f335(f87(a927),x40271),x40272)),f335(f335(f87(a927),x40273),x40272)),f335(f335(f87(a927),f335(f335(f86(a927),x40271),x40273)),x40272)) % 209.33/209.62 [4028]E(f335(f335(f23(a1),f335(f335(f87(a1),x40281),x40282)),f335(f335(f87(a1),x40283),x40282)),f335(f335(f87(a1),f335(f335(f23(a1),x40281),x40283)),x40282)) % 209.33/209.62 [4029]E(f335(f335(f86(a1),f335(f335(f87(a1),x40291),x40292)),f335(f335(f87(a1),x40293),x40292)),f335(f335(f87(a1),f335(f335(f86(a1),x40291),x40293)),x40292)) % 209.33/209.62 [4031]E(f335(f335(f241(a927),f335(f335(f23(a927),x40311),x40312)),f335(f335(f23(a927),x40313),x40312)),f335(f335(f23(a927),f335(f335(f241(a927),x40311),x40313)),x40312)) % 209.33/209.62 [4052]E(f335(f335(f108(f934(f928(x40521),a922)),f167(x40521,x40522)),f167(x40521,x40523)),f167(x40521,f335(f335(f108(f934(x40521,a922)),x40522),x40523))) % 209.33/209.62 [4055]E(f335(f335(f108(f934(x40551,a922)),x40552),f335(f335(f108(f934(x40551,a922)),x40552),x40553)),f335(f335(f108(f934(x40551,a922)),x40552),x40553)) % 209.33/209.62 [4056]E(f335(f335(f117(f934(x40561,a922)),x40562),f335(f335(f23(f934(x40561,a922)),x40563),x40562)),f335(f335(f117(f934(x40561,a922)),x40562),x40563)) % 209.33/209.62 [4057]E(f335(f335(f117(f934(x40571,a922)),x40572),f335(f335(f117(f934(x40571,a922)),x40572),x40573)),f335(f335(f117(f934(x40571,a922)),x40572),x40573)) % 209.33/209.62 [4069]E(f335(f335(f297(x40691,x40692,x40692),x40693),f315(x40692,f195(f934(f933(x40692,x40692),a922)))),x40693) % 209.33/209.62 [4072]E(f335(f335(f117(f934(x40721,a922)),f335(f335(f317(x40721),x40722),f195(f934(x40721,a922)))),x40723),f335(f335(f317(x40721),x40722),x40723)) % 209.33/209.62 [4091]E(f335(f335(f23(a927),f335(f335(f23(a927),f335(a119,x40911)),x40912)),f335(a119,x40913)),f335(f335(f23(a927),f335(f335(f23(a927),x40911),x40912)),x40913)) % 209.33/209.62 [4119]E(f335(f335(f108(f934(f934(x41191,a922),a922)),f335(f316(x41191),x41192)),f335(f316(x41191),x41193)),f335(f316(x41191),f335(f335(f108(f934(x41191,a922)),x41192),x41193))) % 209.33/209.62 [4122]E(f335(f335(f117(f934(x41221,a922)),f335(f85(f934(x41221,a922)),x41222)),x41223),f335(f85(f934(x41221,a922)),f335(f335(f23(f934(x41221,a922)),x41222),x41223))) % 209.33/209.62 [4132]E(f335(f335(f317(x41321),x41322),f335(f335(f23(f934(x41321,a922)),x41323),f335(f335(f317(x41321),x41322),f195(f934(x41321,a922))))),f335(f335(f317(x41321),x41322),x41323)) % 209.33/209.62 [4144]P106(f335(f335(f243(f934(x41441,a922)),x41442),f335(f335(f117(f934(x41441,a922)),x41443),x41442))) % 209.33/209.62 [4145]P106(f335(f335(f243(f934(x41451,a922)),x41452),f335(f335(f117(f934(x41451,a922)),x41452),x41453))) % 209.33/209.62 [4149]E(f335(f335(f117(f934(x41491,a922)),f335(f85(f934(x41491,a922)),x41492)),f335(f85(f934(x41491,a922)),x41493)),f335(f85(f934(x41491,a922)),f335(f335(f108(f934(x41491,a922)),x41492),x41493))) % 209.33/209.62 [4150]E(f335(f335(f108(f934(x41501,a922)),f335(f85(f934(x41501,a922)),x41502)),f335(f85(f934(x41501,a922)),x41503)),f335(f85(f934(x41501,a922)),f335(f335(f117(f934(x41501,a922)),x41502),x41503))) % 209.33/209.62 [4164]P106(f335(f335(f243(f934(x41641,a922)),f335(f179(x41641),x41642)),f335(f179(x41641),f335(f335(f158(x41641),x41643),x41642)))) % 209.33/209.62 [4176]E(f335(f335(f117(f934(x41761,a922)),f335(f335(f23(f934(x41761,a922)),x41762),x41763)),f335(f335(f108(f934(x41761,a922)),x41762),x41763)),x41762) % 209.33/209.62 [4227]E(f335(f335(f6(x42271,a1),f335(f335(f8(a927,a1,x42271),f107(a1)),x42272)),x42273),f335(f107(a1),f335(f335(f6(x42271,a927),x42272),x42273))) % 209.33/209.62 [4228]E(f335(f335(f9(x42281,a1),f335(f335(f8(a927,a1,x42281),f107(a1)),x42282)),x42283),f335(f107(a1),f335(f335(f9(x42281,a927),x42282),x42283))) % 209.33/209.62 [4275]E(f335(f335(f141(x42751),f184(x42751,x42752,x42753)),f335(f335(f145(x42751),f335(f196(f928(x42751)),f184(x42751,x42752,x42753))),x42753)),x42753) % 209.33/209.62 [4279]E(f335(f85(f934(f933(x42791,x42792),a922)),f335(f335(f262(x42791,x42792),x42793),f335(f16(f934(x42792,a922),x42791),f250(f934(x42792,a922))))),f335(f335(f262(x42791,x42792),f335(f85(f934(x42791,a922)),x42793)),f335(f16(f934(x42792,a922),x42791),f250(f934(x42792,a922))))) % 209.33/209.62 [4280]E(f335(f85(f934(f933(x42801,x42802),a922)),f335(f335(f262(x42801,x42802),f250(f934(x42801,a922))),f335(f16(f934(x42802,a922),x42801),x42803))),f335(f335(f262(x42801,x42802),f250(f934(x42801,a922))),f335(f16(f934(x42802,a922),x42801),f335(f85(f934(x42802,a922)),x42803)))) % 209.33/209.62 [4331]E(f335(f335(f44(f934(x43311,a922),f934(x43311,a922)),x43312),f335(f335(f7(f934(x43311,a922),f934(x43311,a922),f934(x43311,a922)),f108(f934(x43311,a922))),x43313)),f335(f335(f108(f934(x43311,a922)),f42(f934(x43311,a922),x43312)),x43313)) % 209.33/209.62 [4337]E(f335(f149(f928(x43371),f928(x43371),f141(x43371),f120(x43371)),f335(f335(f158(f928(x43371)),x43372),x43373)),f335(f335(f141(x43371),x43372),f335(f149(f928(x43371),f928(x43371),f141(x43371),f120(x43371)),x43373))) % 209.33/209.62 [4358]E(f335(f335(f317(f934(x43581,a922)),f335(f293(x43581,x43581,x43582),f335(f335(f317(x43581),x43583),f195(f934(x43581,a922))))),f195(f934(f934(x43581,a922),a922))),f335(f335(f65(x43581),f335(f335(f317(x43581),x43583),f195(f934(x43581,a922)))),x43582)) % 209.33/209.62 [4368]E(f335(f335(f86(a927),f335(f335(f87(a927),x43681),f335(f335(f41(a927),x43682),x43683))),f335(f335(f41(a927),f335(f335(f87(a927),x43681),f50(a927,x43682,x43683))),x43683)),f335(f335(f41(a927),f335(f335(f87(a927),x43681),x43682)),x43683)) % 209.33/209.62 [4369]E(f335(f335(f86(a1),f335(f335(f87(a1),x43691),f335(f335(f41(a1),x43692),x43693))),f335(f335(f41(a1),f335(f335(f87(a1),x43691),f50(a1,x43692,x43693))),x43693)),f335(f335(f41(a1),f335(f335(f87(a1),x43691),x43692)),x43693)) % 209.33/209.62 [4403]E(f335(f335(f23(f934(x44031,a922)),f335(f179(x44031),x44032)),f335(f335(f317(x44031),x44033),f195(f934(x44031,a922)))),f335(f179(x44031),f335(f143(x44031,f335(f335(f8(a922,a922,x44031),a330),f335(a332,x44033))),x44032))) % 209.33/209.62 [4453]E(f335(f335(f141(x44531),f335(f149(f928(x44531),f928(x44531),f141(x44531),f120(x44531)),x44532)),f335(f149(f928(x44531),f928(x44531),f141(x44531),f120(x44531)),x44533)),f335(f149(f928(x44531),f928(x44531),f141(x44531),f120(x44531)),f335(f335(f141(f928(x44531)),x44532),x44533))) % 209.33/209.62 [4456]E(f335(f335(f260(f928(x44561),f928(x44561)),f335(f143(x44561,x44562),x44563)),f335(f143(x44561,f335(f78(a922,a922,x44561,a330),x44562)),x44563)),f173(x44561,x44562,x44563)) % 209.33/209.62 [4459]E(f335(f335(f86(a927),f335(f335(f86(a927),f335(f335(f41(a927),x44591),x44592)),f335(f335(f41(a927),x44593),x44592))),f335(f335(f41(a927),f335(f335(f86(a927),f50(a927,x44591,x44592)),f50(a927,x44593,x44592))),x44592)),f335(f335(f41(a927),f335(f335(f86(a927),x44591),x44593)),x44592)) % 209.33/209.62 [4460]E(f335(f335(f86(a1),f335(f335(f86(a1),f335(f335(f41(a1),x44601),x44602)),f335(f335(f41(a1),x44603),x44602))),f335(f335(f41(a1),f335(f335(f86(a1),f50(a1,x44601,x44602)),f50(a1,x44603,x44602))),x44602)),f335(f335(f41(a1),f335(f335(f86(a1),x44601),x44603)),x44602)) % 209.33/209.62 [4513]E(f335(f335(f108(f934(f928(x45131),a922)),f335(f335(f7(f928(x45131),f934(f928(x45131),a922),a922),f337(f928(x45131))),f168(x45131,x45132))),f335(f335(f7(f928(x45131),f934(f928(x45131),a922),a922),f337(f928(x45131))),f168(x45131,x45133))),f167(x45131,f335(f335(f108(f934(x45131,a922)),f335(f335(f7(x45131,f934(x45131,a922),a922),f337(x45131)),x45132)),f335(f335(f7(x45131,f934(x45131,a922),a922),f337(x45131)),x45133)))) % 209.33/209.62 [4525]E(f335(f270(x45251),f335(f335(f18(x45251,a922,a922),f335(f335(f8(a922,f934(a922,a922),x45251),a334),f335(f335(f7(x45251,x45251,a922),a332),x45252))),f335(f335(f7(x45251,f934(x45251,a922),a922),f337(x45251)),x45253))),f335(f335(f317(x45251),x45252),x45253)) % 209.33/209.62 [4545]E(f335(f335(f92(f928(f928(x45451)),f928(f928(x45451))),f59(x45451,x45452)),f335(f335(f18(f928(f928(x45451)),f928(f928(x45451)),f928(f928(x45451))),f335(f335(f8(f928(f928(x45451)),f934(f928(f928(x45451)),f928(f928(x45451))),f928(f928(x45451))),f141(f928(x45451))),f335(f161(f928(x45451),f928(x45451)),f335(f158(x45451),x45453)))),f5(f928(f928(x45451))))),f59(x45451,f335(f335(f158(x45451),x45453),x45452))) % 209.33/209.62 [4548]E(f335(f270(x45481),f335(f335(f18(x45481,a922,a922),f335(f335(f8(a922,f934(a922,a922),x45481),a333),f335(f335(f7(x45481,f934(x45481,a922),a922),f337(x45481)),x45482))),f335(f335(f7(x45481,f934(x45481,a922),a922),f337(x45481)),x45483))),f335(f335(f108(f934(x45481,a922)),x45482),x45483)) % 209.33/209.62 [4549]E(f335(f270(x45491),f335(f335(f18(x45491,a922,a922),f335(f335(f8(a922,f934(a922,a922),x45491),a334),f335(f335(f7(x45491,f934(x45491,a922),a922),f337(x45491)),x45492))),f335(f335(f7(x45491,f934(x45491,a922),a922),f337(x45491)),x45493))),f335(f335(f117(f934(x45491,a922)),x45492),x45493)) % 209.33/209.62 [4638]E(f335(f335(f44(x46381,f934(f934(x46381,a922),a922)),x46382),f335(f335(f7(x46381,f934(f934(x46381,a922),a922),f934(f934(x46381,a922),a922)),f335(f335(f8(f934(x46381,a922),f934(f934(f934(x46381,a922),a922),f934(f934(x46381,a922),a922)),x46381),f317(f934(x46381,a922))),f335(f335(f8(f934(x46381,a922),f934(x46381,a922),x46381),f293(x46381,x46381,x46383)),f335(f335(f7(x46381,f934(x46381,a922),f934(x46381,a922)),f317(x46381)),f195(f934(x46381,a922)))))),f195(f934(f934(x46381,a922),a922)))),f335(f335(f65(x46381),x46382),x46383)) % 209.33/209.62 [4640]E(f335(f335(f210(x46401),f335(f335(f87(a1),f335(f335(f78(f933(a1,a1),a1,x46401,f259(a1,a1)),f221(x46401)),x46402)),f335(f335(f78(f933(a1,a1),a1,x46401,f259(a1,a1)),f221(x46401)),x46403))),f335(f335(f87(a1),f335(f335(f78(f933(a1,a1),a1,x46401,f264(a1,a1)),f221(x46401)),x46402)),f335(f335(f78(f933(a1,a1),a1,x46401,f264(a1,a1)),f221(x46401)),x46403))),f237(x46401,x46402,x46403)) % 209.33/209.62 [4643]E(f335(f270(f928(x46431)),f335(f335(f18(f928(x46431),a922,a922),f335(f335(f8(a922,f934(a922,a922),f928(x46431)),a333),f335(f335(f7(f928(x46431),a927,a922),f335(f335(f8(a927,f934(a927,a922),f928(x46431)),a332),f196(f928(x46431)))),x46432))),f335(f335(f7(f928(x46431),f934(x46431,a922),a922),f335(f335(f8(f934(x46431,a922),f934(f934(x46431,a922),a922),f928(x46431)),f243(f934(x46431,a922))),f179(x46431))),f335(f179(x46431),x46433)))),f335(f179(f928(x46431)),f60(x46431,x46432,x46433))) % 209.33/209.62 [4045]E(f50(a927,f335(f335(f86(a927),f335(f335(f87(a927),x40451),x40452)),x40453),x40452),f50(a927,x40453,x40452)) % 209.33/209.62 [4090]E(f146(a927,f335(f310(a927,f335(f335(f86(a927),x40901),x40902)),x40903)),f335(f335(f145(a927),x40902),f146(a927,f335(f310(a927,x40901),x40903)))) % 209.33/209.62 [4131]E(f335(f335(f86(a1),f335(f107(a1),x41311)),f335(f335(f86(a1),f335(f107(a1),x41312)),x41313)),f335(f335(f86(a1),f335(f107(a1),f335(f335(f86(a927),x41311),x41312))),x41313)) % 209.33/209.62 [4140]E(f335(f335(f23(f934(x41401,a922)),f335(f335(f23(f934(x41401,a922)),x41402),x41403)),x41403),f335(f335(f23(f934(x41401,a922)),x41402),x41403)) % 209.33/209.62 [4141]E(f335(f335(f117(f934(x41411,a922)),f335(f335(f23(f934(x41411,a922)),x41412),x41413)),x41413),f335(f335(f117(f934(x41411,a922)),x41412),x41413)) % 209.33/209.62 [4165]E(f335(f335(f297(x41651,x41651,x41652),f315(x41651,f195(f934(f933(x41651,x41651),a922)))),x41653),x41653) % 209.33/209.62 [4173]E(f335(f335(f117(f934(x41731,a922)),f335(f289(x41731),x41732)),f335(f289(x41731),x41733)),f335(f289(x41731),f335(f335(f117(f934(f933(x41731,x41731),a922)),x41732),x41733))) % 209.33/209.62 [4183]E(f274(x41831,f335(f335(f158(f933(a106,x41831)),f335(f335(f260(a106,x41831),f2(a106)),x41832)),x41833)),f274(x41831,x41833)) % 209.33/209.62 [4185]E(f335(f335(f108(f934(x41851,a922)),f43(f934(x41851,a922),x41852)),f43(f934(x41851,a922),x41853)),f43(f934(x41851,a922),f335(f335(f117(f934(f934(x41851,a922),a922)),x41852),x41853))) % 209.33/209.62 [4186]E(f335(f335(f117(f934(x41861,a922)),f42(f934(x41861,a922),x41862)),f42(f934(x41861,a922),x41863)),f42(f934(x41861,a922),f335(f335(f117(f934(f934(x41861,a922),a922)),x41862),x41863))) % 209.33/209.62 [4223]E(f335(f335(f297(x42231,x42231,x42231),f335(f335(f190(f933(x42231,x42231),a922),x42232),x42233)),x42233),f335(f335(f190(f933(x42231,x42231),a922),f335(a119,x42232)),x42233)) % 209.33/209.62 [4267]P106(f335(f335(f243(f934(x42671,a922)),f335(f335(f23(f934(x42671,a922)),x42672),x42673)),x42672)) % 209.33/209.62 [4268]P106(f335(f335(f243(f934(x42681,a922)),f335(f335(f108(f934(x42681,a922)),x42682),x42683)),x42683)) % 209.33/209.62 [4269]P106(f335(f335(f243(f934(x42691,a922)),f335(f335(f108(f934(x42691,a922)),x42692),x42693)),x42692)) % 209.33/209.62 [4293]E(f315(x42931,f335(f335(f117(f934(f933(x42931,x42931),a922)),f315(x42931,x42932)),f315(x42931,x42933))),f315(x42931,f335(f335(f117(f934(f933(x42931,x42931),a922)),x42932),x42933))) % 209.33/209.62 [4297]E(f43(f934(x42971,a922),f335(f335(f317(f934(x42971,a922)),x42972),f335(f335(f317(f934(x42971,a922)),x42973),f195(f934(f934(x42971,a922),a922))))),f335(f335(f108(f934(x42971,a922)),x42972),x42973)) % 209.33/209.62 [4298]E(f42(f934(x42981,a922),f335(f335(f317(f934(x42981,a922)),x42982),f335(f335(f317(f934(x42981,a922)),x42983),f195(f934(f934(x42981,a922),a922))))),f335(f335(f117(f934(x42981,a922)),x42982),x42983)) % 209.33/209.62 [4303]E(f335(f335(f297(x43031,x43031,x43031),f335(f335(f190(f933(x43031,x43031),a922),x43032),x43033)),x43033),f335(f335(f297(x43031,x43031,x43031),x43033),f335(f335(f190(f933(x43031,x43031),a922),x43032),x43033))) % 209.33/209.62 [4372]E(f335(f335(f117(f934(x43721,a922)),f335(f270(x43721),f335(f335(f7(x43721,x43721,a922),a332),x43722))),x43723),f335(f335(f317(x43721),x43722),x43723)) % 209.33/209.62 [4374]E(f335(a111,f335(f335(f6(x43741,a1),f335(f335(f8(a927,a1,x43741),f107(a1)),x43742)),x43743)),f335(f335(f6(x43741,a927),x43742),x43743)) % 209.33/209.62 [4375]E(f335(a111,f335(f335(f9(x43751,a1),f335(f335(f8(a927,a1,x43751),f107(a1)),x43752)),x43753)),f335(f335(f9(x43751,a927),x43752),x43753)) % 209.33/209.62 [4450]E(f335(f163(f928(x44501),x44501,f335(f178(x44501),x44502),f335(f16(f934(f928(x44501),f928(x44501)),x44501),f335(f335(f7(f928(x44501),f928(x44501),f928(x44501)),f141(x44501)),x44502))),x44503),f335(f178(x44501),f335(f335(f141(x44501),x44503),x44502))) % 209.33/209.62 [4478]P106(f335(f335(f243(f934(f934(x44781,a922),a922)),f335(f335(f117(f934(f934(x44781,a922),a922)),f335(f316(x44781),x44782)),f335(f316(x44781),x44783))),f335(f316(x44781),f335(f335(f117(f934(x44781,a922)),x44782),x44783)))) % 209.33/209.62 [4567]E(f335(f270(x45671),f335(f335(f18(x45671,a922,a922),f335(f335(f8(a922,f934(a922,a922),x45671),a333),f335(f335(f7(x45671,f934(x45671,a922),a922),f337(x45671)),x45672))),f335(f335(f8(a922,a922,x45671),a330),f335(f335(f7(x45671,f934(x45671,a922),a922),f337(x45671)),x45673)))),f335(f335(f23(f934(x45671,a922)),x45672),x45673)) % 209.33/209.62 [4591]E(f335(f40(a927),f335(f270(a927),f335(f335(f18(a927,a922,a922),f335(f335(f8(a922,f934(a922,a922),a927),a333),f335(f335(f7(a927,a927,a922),f244(a927)),f335(f196(f928(x45911)),x45912)))),f335(f335(f8(x45911,a922,a927),x45913),f335(f171(x45911),x45912))))),f335(f196(f928(x45911)),f335(f143(x45911,x45913),x45912))) % 209.33/209.62 [4593]E(f335(f196(f928(x45931)),f183(x45931,x45932,x45933)),f335(f40(a927),f335(f270(a927),f335(f335(f18(a927,a922,a922),f335(f335(f8(a922,f934(a922,a922),a927),a333),f335(f335(f7(a927,a927,a922),f244(a927)),f335(f196(f928(x45931)),x45932)))),f335(f335(f7(a927,f934(a927,a922),a922),f337(a927)),x45933))))) % 209.33/209.62 [4691]E(f335(f335(f108(f934(f933(f928(x46911),f928(x46911)),a922)),f335(f318(f933(f933(x46911,f928(x46911)),f933(x46911,f928(x46911))),f933(f928(x46911),f928(x46911)),f266(f933(x46911,f928(x46911)),f928(x46911),f933(x46911,f928(x46911)),f928(x46911),f335(f265(x46911,f928(x46911),f928(x46911)),f158(x46911)),f335(f265(x46911,f928(x46911),f928(x46911)),f158(x46911)))),f327(x46911,f928(x46911),x46912,f335(f150(x46911,x46912),x46913)))),f335(f270(f933(f928(x46911),f928(x46911))),f335(f265(f928(x46911),f928(x46911),a922),f335(f335(f7(f928(x46911),f934(f928(x46911),a922),f934(f928(x46911),a922)),f335(f335(f8(f934(a922,a922),f934(f934(f928(x46911),a922),f934(f928(x46911),a922)),f928(x46911)),f8(a922,a922,f928(x46911))),f335(f335(f8(a922,f934(a922,a922),f928(x46911)),a333),f335(f335(f7(f928(x46911),a927,a922),f335(f335(f8(a927,f934(a927,a922),f928(x46911)),a332),f196(f928(x46911)))),f335(a119,x46913))))),f335(f335(f7(f928(x46911),a927,a922),f335(f335(f8(a927,f934(a927,a922),f928(x46911)),a332),f196(f928(x46911)))),f335(a119,x46913)))))),f335(f150(x46911,x46912),f335(a119,x46913))) % 209.33/209.62 [4187]E(f50(a927,f335(a119,f335(f335(f86(a927),f335(f335(f87(a927),x41871),x41872)),x41873)),x41872),f50(a927,f335(a119,x41873),x41872)) % 209.33/209.62 [4436]E(f335(f270(x44361),f335(f335(f18(x44361,a922,a922),f335(f335(f8(a922,f934(a922,a922),x44361),a333),x44362)),x44363)),f335(f335(f108(f934(x44361,a922)),f335(f270(x44361),x44362)),f335(f270(x44361),x44363))) % 209.33/209.62 [4437]E(f335(f270(x44371),f335(f335(f18(x44371,a922,a922),f335(f335(f8(a922,f934(a922,a922),x44371),a334),x44372)),x44373)),f335(f335(f117(f934(x44371,a922)),f335(f270(x44371),x44372)),f335(f270(x44371),x44373))) % 209.33/209.62 [4439]E(f335(f335(f141(x44391),f335(f335(f145(x44391),f50(a927,x44392,f335(f196(f928(x44391)),x44393))),x44393)),f335(f335(f182(x44391),f50(a927,x44392,f335(f196(f928(x44391)),x44393))),x44393)),f335(f335(f335(f190(f928(x44391),f928(x44391)),x44392),f174(x44391)),x44393)) % 209.33/209.62 [4445]E(f335(f270(x44451),f335(f335(f18(x44451,a922,a922),f335(f335(f8(a922,f934(a922,a922),x44451),a338),x44452)),x44453)),f335(f335(f117(f934(x44451,a922)),f335(f85(f934(x44451,a922)),f335(f270(x44451),x44452))),f335(f270(x44451),x44453))) % 209.33/209.62 [4461]E(f335(f335(f86(a927),f335(f196(f928(x44611)),f335(f143(x44611,x44612),x44613))),f335(f196(f928(x44611)),f335(f143(x44611,f335(f335(f8(a922,a922,x44611),a330),x44612)),x44613))),f335(f196(f928(x44611)),x44613)) % 209.33/209.62 [4484]P106(f335(f335(f243(f934(x44841,a922)),f335(f335(f117(f934(x44841,a922)),f43(f934(x44841,a922),x44842)),f43(f934(x44841,a922),x44843))),f43(f934(x44841,a922),f335(f335(f108(f934(f934(x44841,a922),a922)),x44842),x44843)))) % 209.33/209.62 [4498]E(f335(f179(x44981),f335(f143(x44981,f335(f335(f8(a922,a922,x44981),a330),f335(f335(f7(x44981,x44981,a922),a332),x44982))),x44983)),f335(f335(f23(f934(x44981,a922)),f335(f179(x44981),x44983)),f335(f335(f317(x44981),x44982),f195(f934(x44981,a922))))) % 209.33/209.62 [4507]P106(f335(f335(f243(f934(f933(x45071,x45071),a922)),f335(f335(f117(f934(f933(x45071,x45071),a922)),f315(x45071,x45072)),f315(x45071,x45073))),f315(x45071,f335(f335(f117(f934(f933(x45071,x45071),a922)),x45072),x45073)))) % 209.33/209.62 [4530]E(f335(f335(f87(a927),f335(a119,f335(a119,f2(a927)))),f335(f335(f6(a927,a927),f335(f335(f8(a927,a927,a927),f335(f86(a927),x45301)),f335(f335(f7(a927,a927,a927),f87(a927)),x45302))),f335(f290(a927),x45303))),f335(f335(f87(a927),x45303),f335(f335(f86(a927),x45301),f335(f335(f86(a927),x45301),f335(f335(f87(a927),f335(f335(f23(a927),x45303),f84(a927))),x45302))))) % 209.33/209.62 [4540]E(f335(f270(x45401),f335(f335(f18(x45401,a922,a922),f335(f335(f8(a922,f934(a922,a922),x45401),a333),f335(f335(f7(x45401,f934(x45401,a922),a922),f337(x45401)),f335(f179(x45401),x45402)))),x45403)),f335(f179(x45401),f335(f143(x45401,x45403),x45402))) % 209.33/209.62 [4690]E(f335(f270(x46901),f335(f335(f8(f934(a927,a922),a922,x46901),f93(a927)),f335(f335(f7(x46901,f934(a927,a922),f934(a927,a922)),f335(f335(f8(f934(a927,f934(a922,a922)),f934(f934(a927,a922),f934(a927,a922)),x46901),f18(a927,a922,a922)),f335(f335(f8(f934(a927,a922),f934(a927,f934(a922,a922)),x46901),f335(f8(a922,f934(a922,a922),a927),a333)),f335(f335(f7(x46901,f934(a927,x46901),f934(a927,a922)),f335(f335(f8(f934(x46901,a922),f934(f934(a927,x46901),f934(a927,a922)),x46901),f8(x46901,a922,a927)),a332)),f335(f171(x46901),x46902))))),f335(f335(f18(a927,a922,a922),f335(f335(f8(a922,f934(a922,a922),a927),a333),f335(f335(f7(a927,a927,a922),f244(a927)),f335(f196(f928(x46901)),x46902)))),f335(f335(f7(a927,f934(a927,a922),a922),f337(a927)),x46903))))),f335(f179(x46901),f183(x46901,x46902,x46903))) % 209.33/209.62 [4580]E(f335(f270(x45801),f335(f335(f18(x45801,a922,a922),f335(f335(f8(a922,f934(a922,a922),x45801),a338),f335(f335(f8(a922,a922,x45801),a330),f335(f335(f7(x45801,x45801,a922),a332),x45802)))),x45803)),f335(f335(f317(x45801),x45802),f335(f270(x45801),x45803))) % 209.33/209.62 [4612]E(f335(f335(f161(f933(x46121,a927),x46121),f259(x46121,a927)),f335(f143(f933(x46121,a927),f335(f335(f7(f933(x46121,a927),f934(a927,a922),a922),f335(f335(f8(a927,f934(f934(a927,a922),a922),f933(x46121,a927)),f337(a927)),f264(x46121,a927))),x46122)),f335(f335(f188(x46121,a927),x46123),f146(a927,f335(f310(a927,f2(a927)),f335(f196(f928(x46121)),x46123)))))),f183(x46121,x46123,x46122)) % 209.33/209.62 [4639]E(f335(f335(f87(a1),f335(f110(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),f335(f335(f6(a927,a1),f335(f335(f8(a1,a1,a927),f335(f86(a1),x46391)),f335(f335(f7(a927,a1,a1),f335(f335(f8(a1,f934(a1,a1),a927),f87(a1)),f107(a1))),x46392))),f335(f290(a927),x46393))),f335(f335(f87(a1),f335(f107(a1),x46393)),f335(f335(f86(a1),x46391),f335(f335(f86(a1),x46391),f335(f335(f87(a1),f335(f107(a1),f335(f335(f23(a927),x46393),f84(a927)))),x46392))))) % 209.33/209.62 [4683]E(f335(f270(f933(x46831,x46832)),f335(f265(x46831,x46832,a922),f335(f335(f7(x46831,f934(f933(x46832,x46831),a922),f934(x46832,a922)),f335(f335(f8(f934(x46832,f934(f934(f933(x46832,x46831),a922),a922)),f934(f934(f933(x46832,x46831),a922),f934(x46832,a922)),x46831),f7(x46832,f934(f933(x46832,x46831),a922),a922)),f335(f335(f8(f934(x46832,f933(x46832,x46831)),f934(x46832,f934(f934(f933(x46832,x46831),a922),a922)),x46831),f335(f8(f933(x46832,x46831),f934(f934(f933(x46832,x46831),a922),a922),x46832),f337(f933(x46832,x46831)))),f335(f7(x46832,x46831,f933(x46832,x46831)),f260(x46832,x46831))))),x46833))),f335(f294(x46832,x46831),x46833)) % 209.33/209.62 [4703]E(f335(f270(f928(x47031)),f335(f335(f8(f934(x47031,a922),a922,f928(x47031)),f93(x47031)),f335(f335(f8(f934(x47031,f934(f928(x47031),a922)),f934(x47031,a922),f928(x47031)),f335(f8(f934(f928(x47031),a922),a922,x47031),f93(f928(x47031)))),f335(f335(f7(f928(x47031),f934(x47031,f934(f928(x47031),a922)),f934(x47031,f934(f928(x47031),a922))),f335(f335(f8(f934(x47031,f934(f934(f928(x47031),a922),f934(f928(x47031),a922))),f934(f934(x47031,f934(f928(x47031),a922)),f934(x47031,f934(f928(x47031),a922))),f928(x47031)),f18(x47031,f934(f928(x47031),a922),f934(f928(x47031),a922))),f335(f335(f8(f934(x47031,f934(f928(x47031),f934(a922,a922))),f934(x47031,f934(f934(f928(x47031),a922),f934(f928(x47031),a922))),f928(x47031)),f335(f8(f934(f928(x47031),f934(a922,a922)),f934(f934(f928(x47031),a922),f934(f928(x47031),a922)),x47031),f18(f928(x47031),a922,a922))),f335(f335(f8(f934(x47031,f934(f928(x47031),a922)),f934(x47031,f934(f928(x47031),f934(a922,a922))),f928(x47031)),f335(f8(f934(f928(x47031),a922),f934(f928(x47031),f934(a922,a922)),x47031),f335(f8(a922,f934(a922,a922),f928(x47031)),a333))),f335(f335(f7(f928(x47031),f934(x47031,f934(f928(x47031),f928(x47031))),f934(x47031,f934(f928(x47031),a922))),f335(f335(f8(f934(f934(f928(x47031),f928(x47031)),f934(f928(x47031),a922)),f934(f934(x47031,f934(f928(x47031),f928(x47031))),f934(x47031,f934(f928(x47031),a922))),f928(x47031)),f8(f934(f928(x47031),f928(x47031)),f934(f928(x47031),a922),x47031)),f335(f335(f8(f934(f928(x47031),a922),f934(f934(f928(x47031),f928(x47031)),f934(f928(x47031),a922)),f928(x47031)),f8(f928(x47031),a922,f928(x47031))),a332))),f158(x47031)))))),f335(f335(f7(x47031,f934(f928(x47031),a922),f934(f928(x47031),a922)),f335(f335(f8(f934(a922,a922),f934(f934(f928(x47031),a922),f934(f928(x47031),a922)),x47031),f8(a922,a922,f928(x47031))),f335(f335(f8(a922,f934(a922,a922),x47031),a333),f335(f335(f7(x47031,f934(x47031,a922),a922),f337(x47031)),x47032)))),f335(f335(f7(f928(x47031),f934(f928(x47031),a922),a922),f337(f928(x47031))),x47033)))))),f181(x47031,x47032,x47033)) % 209.33/209.62 [4700]E(f335(f335(f92(a1,f933(a1,a1)),f335(f335(f23(a1),x47001),x47002)),f335(f335(f7(a1,f933(a1,a1),f933(a1,a1)),f335(f335(f18(a1,f933(a1,a1),f934(f933(a1,a1),f933(a1,a1))),f335(f335(f8(a922,f934(f933(a1,a1),f934(f933(a1,a1),f933(a1,a1))),a1),f103(f933(a1,a1))),f335(f243(a1),f2(a1)))),f335(f260(a1,a1),f335(f335(f86(a1),f335(f335(f87(a1),f335(f110(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),x47003)),f84(a1))))),f335(f335(f260(a1,a1),f335(f335(f87(a1),f335(f110(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),x47003)),x47001))),f335(f48(x47002),f335(f335(f260(a1,a1),x47003),x47001))) % 209.33/209.62 [4727]~E(f32(x47271,x47272),f31(x47273,x47274)) % 209.33/209.62 [4730]~E(f27(x47301,x47302),f31(x47303,x47304)) % 209.33/209.62 [4731]~E(f27(x47311,x47312),f32(x47313,x47314)) % 209.33/209.62 [3738]E(f123(x37381,f335(x37382,x37383),f335(x37384,x37383)),f335(f212(x37381,x37382,x37384),x37383)) % 209.33/209.62 [3791]E(f335(f335(f253(x37911,x37912,x37913),x37914),f2(a927)),x37912) % 209.33/209.62 [3804]E(f36(x38041,x38042,x38043,f33(x38044)),f335(x38043,x38044)) % 209.33/209.62 [3805]E(f36(x38051,x38052,x38053,f34(x38054)),f335(x38052,x38054)) % 209.33/209.62 [3806]E(f37(x38061,x38062,x38063,f33(x38064)),f335(x38063,x38064)) % 209.33/209.62 [3807]E(f37(x38071,x38072,x38073,f34(x38074)),f335(x38072,x38074)) % 209.33/209.62 [3834]E(f192(x38341,x38342,x38343,f335(a119,x38344)),f335(x38343,x38344)) % 209.33/209.62 [3875]E(f177(x38751,x38752,f177(x38751,x38753,x38754)),f177(x38751,x38753,f177(x38751,x38752,x38754))) % 209.33/209.62 [3876]E(f133(x38761,x38762,f123(x38761,x38763,x38764)),f123(x38761,f133(x38761,x38762,x38763),x38764)) % 209.33/209.62 [4011]E(f335(f163(x40111,x40112,x40113,x40114),f120(x40112)),x40113) % 209.33/209.62 [4012]E(f335(f149(x40121,x40122,x40123,x40124),f120(x40122)),x40124) % 209.33/209.62 [4019]E(f335(f196(f926(x40191)),f98(x40191,x40192,x40193,x40194)),f2(a927)) % 209.33/209.62 [4051]E(f335(f196(f932(x40511,x40512)),f229(x40511,x40512,x40513,x40514)),f2(a927)) % 209.33/209.62 [4074]E(f335(f265(x40741,x40742,x40743),f263(x40741,x40742,x40743,x40744)),x40744) % 209.33/209.62 [4118]E(f335(f335(f141(x41181),f176(x41181,x41182,x41183)),f176(x41181,x41184,x41183)),f335(f335(f141(x41181),f176(x41181,x41184,x41183)),f176(x41181,x41182,x41183))) % 209.33/209.62 [4206]E(f335(f335(f267(x42061,x42062,x42063,f933(x42062,x42063)),x42064),f260(x42062,x42063)),x42064) % 209.33/209.62 [4216]E(f134(x42161,x42162,x42163,x42164,f126(x42162)),x42163) % 209.33/209.62 [4222]E(f80(x42221,x42222,x42223,x42224,f335(x42223,x42224)),x42223) % 209.33/209.62 [4491]P42(x44911,x44912,x44913,x44914,f195(f934(x44911,a922)),x44914) % 209.33/209.62 [3540]E(f335(f335(f16(x35401,x35402),x35403),x35404),x35403) % 209.33/209.62 [3824]E(f177(x38241,x38242,f335(f143(x38241,x38243),x38244)),f335(f143(x38241,x38243),f177(x38241,x38242,x38244))) % 209.33/209.62 [3858]E(f335(f335(f69(x38581,x38582,x38583),x38584),f195(f934(x38581,a922))),x38584) % 209.33/209.62 [3882]E(f335(f335(f171(x38821),f335(f335(f158(x38821),x38822),x38823)),f335(a119,x38824)),f335(f335(f171(x38821),x38823),x38824)) % 209.33/209.62 [3950]E(f335(f335(x39501,x39502),f335(f191(x39503,x39504,x39501),x39502)),f335(f191(x39503,x39504,x39501),f335(a119,x39502))) % 209.33/209.62 [3992]E(f263(x39921,x39922,x39923,f335(f265(x39921,x39922,x39923),x39924)),x39924) % 209.33/209.62 [4049]E(f335(f335(f166(x40491,f335(f335(f158(x40491),x40492),x40493)),f2(a927)),x40494),f335(f335(f158(x40491),x40494),x40493)) % 209.33/209.62 [4059]E(f335(f335(f44(f934(x40591,a922),f934(x40592,a922)),x40593),f318(x40591,x40592,x40594)),f335(f318(x40591,x40592,x40594),f42(f934(x40591,a922),x40593))) % 209.33/209.62 [4060]E(f335(f335(f44(f934(x40601,a922),f934(x40602,a922)),x40603),f319(x40602,x40601,x40604)),f335(f319(x40602,x40601,x40604),f42(f934(x40601,a922),x40603))) % 209.33/209.62 [4085]E(f127(x40851,f137(x40852,f929(x40851),x40853,x40854)),f335(f125(x40852,x40851,x40854),x40853)) % 209.33/209.62 [4161]E(f335(f132(x41611,x41612),f133(x41611,x41613,x41614)),f335(f335(f86(a927),f335(f335(f86(a927),f335(x41612,x41613)),f335(f132(x41611,x41612),x41614))),f335(a119,f2(a927)))) % 209.33/209.62 [4182]E(f335(f149(x41821,x41822,f335(f7(x41822,x41821,x41821),x41823),x41824),f335(f175(x41822),f120(x41822))),x41824) % 209.33/209.62 [4226]E(f82(x42261,x42262,x42263,x42264,f195(f934(x42261,a922))),x42263) % 209.33/209.62 [4287]E(f232(x42871,f933(x42872,f929(x42872)),x42873,f335(f265(x42872,f929(x42872),x42871),x42874),f335(f142(x42872),f126(x42872))),x42873) % 209.33/209.62 [4421]E(f335(f265(x44211,x44212,x44213),f335(f335(f8(f934(x44212,f933(x44211,x44212)),f934(x44212,x44213),x44211),f335(f8(f933(x44211,x44212),x44213,x44212),x44214)),f260(x44211,x44212))),x44214) % 209.33/209.62 [3729]E(f335(f264(x37291,x37292),f335(f335(f260(x37291,x37292),x37293),x37294)),x37294) % 209.33/209.62 [3730]E(f335(f259(x37301,x37302),f335(f335(f260(x37301,x37302),x37303),x37304)),x37303) % 209.33/209.62 [3763]E(f335(f196(f928(x37631)),f335(f335(f166(x37631,x37632),x37633),x37634)),f335(f196(f928(x37631)),x37632)) % 209.33/209.62 [3764]E(f335(f196(f928(x37641)),f335(f335(f161(x37642,x37641),x37643),x37644)),f335(f196(f928(x37642)),x37644)) % 209.33/209.62 [3785]E(f335(f335(f145(x37851),f335(a119,x37852)),f335(f335(f158(x37851),x37853),x37854)),f335(f335(f145(x37851),x37852),x37854)) % 209.33/209.62 [3853]E(f335(f335(f182(x38531),x38532),f176(x38531,x38533,x38534)),f176(x38531,f335(f335(f241(a927),x38532),x38533),x38534)) % 209.33/209.62 [3854]E(f335(f335(f145(x38541),x38542),f176(x38541,x38543,x38544)),f176(x38541,f335(f335(f23(a927),x38543),x38542),x38544)) % 209.33/209.62 [3860]E(f335(f335(f317(x38601),x38602),f335(f335(f317(x38601),x38603),x38604)),f335(f335(f317(x38601),x38603),f335(f335(f317(x38601),x38602),x38604))) % 209.33/209.62 [3864]E(f335(f335(f161(x38641,x38642),x38643),f121(x38641,x38644)),f121(x38642,f335(f335(f161(x38641,x38642),x38643),x38644))) % 209.33/209.62 [3880]E(f335(f175(x38801),f335(f335(f161(x38802,x38801),x38803),x38804)),f335(f335(f161(x38802,x38801),x38803),f335(f175(x38802),x38804))) % 209.33/209.62 [3881]E(f335(f335(f161(x38811,x38812),x38813),f335(f178(x38811),x38814)),f335(f178(x38812),f335(f335(f161(x38811,x38812),x38813),x38814))) % 209.33/209.62 [3896]E(f335(f335(f182(x38961),f335(a119,x38962)),f335(f335(f158(x38961),x38963),x38964)),f335(f335(f158(x38961),x38963),f335(f335(f182(x38961),x38962),x38964))) % 209.33/209.62 [3900]E(f335(f179(x39001),f335(f335(f161(x39002,x39001),x39003),x39004)),f335(f318(x39002,x39001,x39003),f335(f179(x39002),x39004))) % 209.33/209.62 [3913]E(f335(f335(f161(x39131,x39132),f335(f16(x39132,x39131),x39133)),x39134),f176(x39132,f335(f196(f928(x39131)),x39134),x39133)) % 209.33/209.62 [3949]E(f17(x39491,x39492,x39493,f335(a3,f335(a119,f335(a20,x39494)))),f335(x39493,x39494)) % 209.33/209.62 [3953]E(f335(f335(f141(x39531),f335(f143(x39531,x39532),x39533)),f335(f143(x39531,x39532),x39534)),f335(f143(x39531,x39532),f335(f335(f141(x39531),x39533),x39534))) % 209.33/209.62 [3966]E(f159(x39661,f335(f335(f161(x39662,x39661),x39663),f159(x39662,x39664))),f159(x39661,f335(f335(f161(x39662,x39661),x39663),x39664))) % 209.33/209.62 [3981]E(f335(f294(x39811,x39811),f335(f335(f296(x39812,x39811),x39813),x39814)),f335(f335(f296(x39812,x39811),f335(f294(x39812,x39812),x39813)),x39814)) % 209.33/209.62 [3993]E(f335(f335(f297(x39931,x39932,x39933),x39934),f195(f934(f933(x39932,x39933),a922))),f195(f934(f933(x39931,x39933),a922))) % 209.33/209.62 [3994]E(f335(f335(f182(x39941),f335(f335(f23(a927),x39942),x39943)),f335(f335(f145(x39941),x39943),x39944)),f335(f335(f145(x39941),x39943),f335(f335(f182(x39941),x39942),x39944))) % 209.33/209.62 [4013]E(f335(f335(f141(x40131),f176(x40131,x40132,x40133)),f176(x40131,x40134,x40133)),f176(x40131,f335(f335(f86(a927),x40132),x40134),x40133)) % 209.33/209.62 [4014]E(f335(f335(f335(f286(x40141),x40142),x40143),x40144),f335(f260(f934(a106,f934(a922,f931(f929(x40141)))),f933(a106,a106)),f335(f47(x40141),x40142))) % 209.33/209.62 [4042]E(f43(f934(x40421,a922),f335(f318(x40422,f934(x40421,a922),x40423),x40424)),f335(f335(f45(x40422,f934(x40421,a922)),x40424),x40423)) % 209.33/209.62 [4043]E(f42(f934(x40431,a922),f335(f318(x40432,f934(x40431,a922),x40433),x40434)),f335(f335(f44(x40432,f934(x40431,a922)),x40434),x40433)) % 209.33/209.62 [4044]E(f335(f196(f928(f933(x40441,x40442))),f335(f335(f188(x40441,x40442),x40443),x40444)),f335(f335(f241(a927),f335(f196(f928(x40441)),x40443)),f335(f196(f928(x40442)),x40444))) % 209.33/209.62 [4046]E(f335(f319(x40461,x40462,x40463),f335(f85(f934(x40462,a922)),x40464)),f335(f85(f934(x40461,a922)),f335(f319(x40461,x40462,x40463),x40464))) % 209.33/209.62 [4095]E(f335(f319(x40951,x40952,x40953),f335(f270(x40952),x40954)),f335(f270(x40951),f335(f335(f8(x40952,a922,x40951),x40954),x40953))) % 209.33/209.62 [4113]E(f335(f335(f171(x41131),f335(f335(f141(x41131),x41132),f335(f335(f158(x41131),x41133),x41134))),f335(f196(f928(x41131)),x41132)),x41133) % 209.33/209.62 [4138]E(f335(f318(x41381,x41382,x41383),f335(f319(x41381,x41382,x41383),x41384)),f335(f335(f108(f934(x41382,a922)),x41384),f335(f318(x41381,x41382,x41383),f250(f934(x41381,a922))))) % 209.33/209.62 [4157]P106(f335(f335(f337(x41571),f335(x41572,x41573)),f335(f318(x41574,x41571,x41572),f250(f934(x41574,a922))))) % 209.33/209.62 [4166]E(f19(x41661,x41662,x41663,f335(a3,f335(a119,f335(a20,x41664)))),f335(f335(x41663,x41664),f19(x41661,x41662,x41663,x41664))) % 209.33/209.62 [4170]E(f335(f335(f141(x41701),f176(x41701,x41702,x41703)),f335(f335(f158(x41701),x41703),x41704)),f335(f335(f158(x41701),x41703),f335(f335(f141(x41701),f176(x41701,x41702,x41703)),x41704))) % 209.33/209.62 [4172]E(f335(f335(f262(x41721,x41722),f335(f179(x41721),x41723)),f335(f16(f934(x41722,a922),x41721),f335(f179(x41722),x41724))),f335(f179(f933(x41721,x41722)),f64(x41721,x41722,x41723,x41724))) % 209.33/209.62 [4184]E(f162(x41841,x41842,f335(f335(f158(x41841),x41843),x41844)),f335(f335(f86(a927),f335(f335(f86(a927),f335(x41842,x41843)),f162(x41841,x41842,x41844))),f335(a119,f2(a927)))) % 209.33/209.62 [4197]E(f192(f928(x41971),f335(f335(f158(x41971),x41972),x41973),f335(f335(f7(a927,f928(x41971),f928(x41971)),f145(x41971)),x41973),x41974),f335(f335(f145(x41971),x41974),f335(f335(f158(x41971),x41972),x41973))) % 209.33/209.62 [4198]P25(x41981,f933(x41982,x41981),f339(x41983,x41984,x41982,x41981),f335(f335(f44(x41982,f934(x41981,a922)),x41984),x41983)) % 209.33/209.62 [4207]E(f335(f335(f23(f934(x42071,a922)),f335(f335(f23(f934(x42071,a922)),x42072),x42073)),f335(f335(f317(x42071),x42074),f195(f934(x42071,a922)))),f335(f335(f23(f934(x42071,a922)),x42072),f335(f335(f317(x42071),x42074),x42073))) % 209.33/209.62 [4220]E(f335(f335(f190(f934(x42201,x42202),f934(x42201,x42202)),x42203),f78(x42202,x42202,x42201,x42204)),f78(x42202,x42202,x42201,f335(f335(f190(x42202,x42202),x42203),x42204))) % 209.33/209.62 [4292]E(f335(f335(f335(f190(f928(x42921),f928(x42921)),x42922),f174(x42921)),f335(f335(f335(f190(f928(x42921),f928(x42921)),x42923),f174(x42921)),x42924)),f335(f335(f335(f190(f928(x42921),f928(x42921)),f335(f335(f86(a927),x42922),x42923)),f174(x42921)),x42924)) % 209.33/209.62 [4377]P106(f335(f335(f243(f934(x43771,a922)),f335(f179(x43771),f335(f335(f166(x43771,x43772),x43773),x43774))),f335(f335(f317(x43771),x43774),f335(f179(x43771),x43772)))) % 209.33/209.62 [4411]E(f335(f335(f44(f934(x44111,a922),f934(f933(x44111,x44112),a922)),x44113),f335(f335(f7(f934(x44111,a922),f934(x44111,f934(x44112,a922)),f934(f933(x44111,x44112),a922)),f262(x44111,x44112)),x44114)),f335(f335(f262(x44111,x44112),f42(f934(x44111,a922),x44113)),x44114)) % 209.33/209.62 [4449]E(f218(x44491,x44492,x44493,f335(f78(x44492,f934(a106,f934(a106,f934(f933(a106,a106),f934(a106,f929(x44492))))),x44491,f213(x44492)),x44494)),f219(x44491,x44492,x44494,x44493)) % 209.33/209.62 [4464]E(f215(x44641,x44642,x44643,f335(f78(x44642,f934(a106,f934(a106,f934(f933(a106,a106),f934(a106,f929(f931(x44642)))))),x44641,f214(x44642)),x44644)),f216(x44641,x44642,x44644,x44643)) % 209.33/209.62 [4469]P106(f335(f71(x44691,x44692,x44693,x44694,f195(f934(x44691,a922))),x44694)) % 209.33/209.62 [4508]E(f335(f335(f44(x45081,f934(x45082,a922)),x45083),f335(f335(f7(x45081,f934(x45082,a922),f934(x45082,a922)),f335(f335(f8(x45082,f934(f934(x45082,a922),f934(x45082,a922)),x45081),f317(x45082)),x45084)),f195(f934(x45082,a922)))),f335(f318(x45081,x45082,x45084),x45083)) % 209.33/209.62 [4515]P106(f335(f335(f243(f934(x45151,a922)),f335(f292(x45152,x45151),f335(f335(f108(f934(f933(x45152,x45151),a922)),x45153),x45154))),f335(f335(f108(f934(x45151,a922)),f335(f292(x45152,x45151),x45153)),f335(f292(x45152,x45151),x45154)))) % 209.33/209.62 [4516]P106(f335(f335(f243(f934(x45161,a922)),f335(f272(x45161,x45162),f335(f335(f108(f934(f933(x45161,x45162),a922)),x45163),x45164))),f335(f335(f108(f934(x45161,a922)),f335(f272(x45161,x45162),x45163)),f335(f272(x45161,x45162),x45164)))) % 209.33/209.62 [4576]P106(f335(f335(f243(f934(f933(x45761,x45762),a922)),f335(f318(x45762,f933(x45761,x45762),f339(x45763,x45764,x45761,x45762)),f335(f335(f44(x45761,f934(x45762,a922)),x45764),x45763))),f335(f335(f262(x45761,x45762),x45764),x45763))) % 209.33/209.62 [4577]E(f335(f125(x45771,f933(x45771,x45772),x45773),f335(f335(f8(f934(x45772,f929(f933(x45771,x45772))),f929(f933(x45771,x45772)),x45771),f125(x45772,f933(x45771,x45772),x45774)),f335(f335(f8(f934(x45772,f933(x45771,x45772)),f934(x45772,f929(f933(x45771,x45772))),x45771),f335(f8(f933(x45771,x45772),f929(f933(x45771,x45772)),x45772),f136(f933(x45771,x45772)))),f260(x45771,x45772)))),f138(x45771,x45772,x45773,x45774)) % 209.33/209.62 [4578]E(f284(x45781,x45782,x45783,f335(f78(x45782,f934(a106,f934(a106,f934(f933(a106,a106),f933(f934(a106,f934(a922,f931(f929(x45782)))),f933(a106,a106))))),x45781,f286(x45782)),x45784)),f287(x45781,x45782,x45784,x45783)) % 209.33/209.62 [4618]E(f91(f933(x46181,x46182),f335(f265(x46181,x46182,a922),f335(f335(f7(x46181,f934(x46182,a922),f934(x46182,a922)),f335(f335(f8(f934(a922,a922),f934(f934(x46182,a922),f934(x46182,a922)),x46181),f8(a922,a922,x46182)),f335(f335(f8(a922,f934(a922,a922),x46181),a333),f335(a332,x46183)))),f335(a332,x46184)))),f335(f335(f260(x46181,x46182),x46183),x46184)) % 209.33/209.62 [4619]E(f96(f933(x46191,x46192),f335(f265(x46191,x46192,a922),f335(f335(f7(x46191,f934(x46192,a922),f934(x46192,a922)),f335(f335(f8(f934(a922,a922),f934(f934(x46192,a922),f934(x46192,a922)),x46191),f8(a922,a922,x46192)),f335(f335(f8(a922,f934(a922,a922),x46191),a333),f335(a332,x46193)))),f335(a332,x46194)))),f335(f335(f260(x46191,x46192),x46193),x46194)) % 209.33/209.62 [4692]E(f335(f335(f265(f928(x46921),f928(x46921),f933(f928(x46921),f928(x46921))),f335(f335(f18(f928(x46921),f934(f928(x46921),f933(f928(x46921),f928(x46921))),f934(f928(x46921),f933(f928(x46921),f928(x46921)))),f335(f335(f8(f934(f928(x46921),f934(f933(f928(x46921),f928(x46921)),f933(f928(x46921),f928(x46921)))),f934(f934(f928(x46921),f933(f928(x46921),f928(x46921))),f934(f928(x46921),f933(f928(x46921),f928(x46921)))),f928(x46921)),f18(f928(x46921),f933(f928(x46921),f928(x46921)),f933(f928(x46921),f928(x46921)))),f335(f335(f8(f934(f928(x46921),f933(f928(x46921),f928(x46921))),f934(f928(x46921),f934(f933(f928(x46921),f928(x46921)),f933(f928(x46921),f928(x46921)))),f928(x46921)),f335(f8(f933(f928(x46921),f928(x46921)),f934(f933(f928(x46921),f928(x46921)),f933(f928(x46921),f928(x46921))),f928(x46921)),f335(f103(f933(f928(x46921),f928(x46921))),f335(x46922,x46923)))),f335(f335(f8(f928(x46921),f934(f928(x46921),f933(f928(x46921),f928(x46921))),f928(x46921)),f260(f928(x46921),f928(x46921))),f335(f158(x46921),x46923))))),f335(f335(f7(f928(x46921),f934(f928(x46921),f928(x46921)),f934(f928(x46921),f933(f928(x46921),f928(x46921)))),f335(f335(f8(f934(f928(x46921),f933(f928(x46921),f928(x46921))),f934(f934(f928(x46921),f928(x46921)),f934(f928(x46921),f933(f928(x46921),f928(x46921)))),f928(x46921)),f8(f928(x46921),f933(f928(x46921),f928(x46921)),f928(x46921))),f260(f928(x46921),f928(x46921)))),f335(f158(x46921),x46923)))),f173(x46921,x46922,x46924)),f173(x46921,x46922,f335(f335(f158(x46921),x46923),x46924))) % 209.33/209.62 [3929]E(f335(f335(f182(x39291),x39292),f335(f335(f182(x39291),x39293),x39294)),f335(f335(f182(x39291),f335(f335(f241(a927),x39292),x39293)),x39294)) % 209.33/209.62 [3930]E(f335(f335(f145(x39301),x39302),f335(f335(f145(x39301),x39303),x39304)),f335(f335(f145(x39301),f335(f335(f86(a927),x39302),x39303)),x39304)) % 209.33/209.62 [3941]E(f335(f335(f141(x39411),f335(f335(f158(x39411),x39412),x39413)),x39414),f335(f335(f158(x39411),x39412),f335(f335(f141(x39411),x39413),x39414))) % 209.33/209.62 [3942]E(f335(f335(f141(x39421),f335(f335(f141(x39421),x39422),x39423)),x39424),f335(f335(f141(x39421),x39422),f335(f335(f141(x39421),x39423),x39424))) % 209.33/209.62 [4025]E(f335(f335(f171(x40251),f335(f335(f158(x40251),x40252),x40253)),x40254),f192(x40251,x40252,f335(f171(x40251),x40253),x40254)) % 209.33/209.62 [4034]E(f335(f335(f190(x40341,x40341),x40342),f335(f335(f190(x40341,x40341),x40343),x40344)),f335(f335(f190(x40341,x40341),f335(f335(f87(a927),x40343),x40342)),x40344)) % 209.33/209.62 [4062]E(f335(f335(f117(f934(x40621,a922)),x40622),f335(f335(f317(x40621),x40623),x40624)),f335(f335(f317(x40621),x40623),f335(f335(f117(f934(x40621,a922)),x40622),x40624))) % 209.33/209.62 [4077]E(f335(f335(f335(f190(x40771,x40771),x40772),x40773),f335(x40773,x40774)),f335(x40773,f335(f335(f335(f190(x40771,x40771),x40772),x40773),x40774))) % 209.33/209.62 [4086]E(f335(f335(f297(x40861,x40862,x40863),f195(f934(f933(x40861,x40862),a922))),x40864),f195(f934(f933(x40861,x40863),a922))) % 209.33/209.62 [4101]E(f335(f335(f117(f934(x41011,a922)),f335(f335(f317(x41011),x41012),x41013)),x41014),f335(f335(f317(x41011),x41012),f335(f335(f117(f934(x41011,a922)),x41013),x41014))) % 209.33/209.62 [4120]E(f335(f40(f933(x41201,x41202)),f335(f335(f262(x41201,x41202),x41203),f335(f16(f934(x41202,a922),x41201),x41204))),f335(f335(f87(a927),f335(f40(x41201),x41203)),f335(f40(x41202),x41204))) % 209.33/209.62 [4127]E(f335(f335(f108(f934(x41271,a922)),f335(f335(f317(x41271),x41272),x41273)),f335(f335(f317(x41271),x41272),x41274)),f335(f335(f317(x41271),x41272),f335(f335(f108(f934(x41271,a922)),x41273),x41274))) % 209.33/209.62 [4142]E(f335(f335(f108(f934(x41421,a922)),x41422),f335(f335(f108(f934(x41421,a922)),x41423),x41424)),f335(f335(f108(f934(x41421,a922)),x41423),f335(f335(f108(f934(x41421,a922)),x41422),x41424))) % 209.33/209.62 [4143]E(f335(f335(f117(f934(x41431,a922)),x41432),f335(f335(f117(f934(x41431,a922)),x41433),x41434)),f335(f335(f117(f934(x41431,a922)),x41433),f335(f335(f117(f934(x41431,a922)),x41432),x41434))) % 209.33/209.62 [4153]E(f69(x41531,x41532,f335(f335(f8(x41532,f934(x41532,x41532),x41531),x41533),x41534)),f335(f70(x41532,x41531,x41533),x41534)) % 209.33/209.62 [4162]E(f186(x41621,f335(f335(f161(f928(x41622),f928(x41621)),f335(f161(x41622,x41621),x41623)),x41624)),f335(f335(f161(f928(x41622),f928(x41621)),f335(f161(x41622,x41621),x41623)),f186(x41622,x41624))) % 209.33/209.62 [4181]E(f335(f149(f928(x41811),f928(x41811),f141(x41811),f120(x41811)),f335(f335(f161(x41812,f928(x41811)),x41813),x41814)),f170(x41812,x41811,x41813,x41814)) % 209.33/209.62 [4239]E(f335(f78(x42391,x42391,x42391,f335(f335(f190(x42391,x42391),x42392),x42393)),f335(f335(f190(x42391,x42391),x42394),x42393)),f335(f335(f190(x42391,x42391),f335(f335(f86(a927),x42392),x42394)),x42393)) % 209.33/209.62 [4262]E(f335(f335(f117(f934(x42621,a922)),f335(f335(f23(f934(x42621,a922)),x42622),x42623)),f335(f335(f23(f934(x42621,a922)),x42622),x42624)),f335(f335(f23(f934(x42621,a922)),x42622),f335(f335(f108(f934(x42621,a922)),x42623),x42624))) % 209.33/209.62 [4263]E(f335(f335(f108(f934(x42631,a922)),f335(f335(f23(f934(x42631,a922)),x42632),x42633)),f335(f335(f23(f934(x42631,a922)),x42632),x42634)),f335(f335(f23(f934(x42631,a922)),x42632),f335(f335(f117(f934(x42631,a922)),x42633),x42634))) % 209.33/209.62 [4264]E(f335(f335(f23(f934(x42641,a922)),f335(f335(f108(f934(x42641,a922)),x42642),x42643)),f335(f335(f108(f934(x42641,a922)),x42642),x42644)),f335(f335(f108(f934(x42641,a922)),x42642),f335(f335(f23(f934(x42641,a922)),x42643),x42644))) % 209.33/209.62 [4265]E(f335(f335(f117(f934(x42651,a922)),f335(f335(f108(f934(x42651,a922)),x42652),x42653)),f335(f335(f108(f934(x42651,a922)),x42652),x42654)),f335(f335(f108(f934(x42651,a922)),x42652),f335(f335(f117(f934(x42651,a922)),x42653),x42654))) % 209.33/209.62 [4266]E(f335(f335(f108(f934(x42661,a922)),f335(f335(f117(f934(x42661,a922)),x42662),x42663)),f335(f335(f117(f934(x42661,a922)),x42662),x42664)),f335(f335(f117(f934(x42661,a922)),x42662),f335(f335(f108(f934(x42661,a922)),x42663),x42664))) % 209.33/209.62 [4271]E(f335(f40(f933(x42711,x42712)),f335(f335(f262(x42711,x42712),f335(f335(f317(x42711),x42713),f195(f934(x42711,a922)))),f335(f16(f934(x42712,a922),x42711),x42714))),f335(f40(x42712),x42714)) % 209.33/209.62 [4306]E(f335(f335(f45(x43061,f934(x43062,a922)),x43063),f335(f335(f8(f934(x43062,a922),f934(x43062,a922),x43061),f85(f934(x43062,a922))),x43064)),f335(f85(f934(x43062,a922)),f335(f335(f44(x43061,f934(x43062,a922)),x43063),x43064))) % 209.33/209.62 [4307]E(f335(f335(f44(x43071,f934(x43072,a922)),x43073),f335(f335(f8(f934(x43072,a922),f934(x43072,a922),x43071),f85(f934(x43072,a922))),x43074)),f335(f85(f934(x43072,a922)),f335(f335(f45(x43071,f934(x43072,a922)),x43073),x43074))) % 209.33/209.62 [4323]E(f335(f335(f297(x43231,x43231,x43231),f335(f335(f190(f933(x43231,x43231),a922),x43232),x43233)),f335(f335(f190(f933(x43231,x43231),a922),x43234),x43233)),f335(f335(f190(f933(x43231,x43231),a922),f335(f335(f86(a927),x43232),x43234)),x43233)) % 209.33/209.62 [4353]E(f335(f335(f45(x43531,f934(f934(x43532,a922),a922)),x43533),f335(f335(f8(f934(x43532,a922),f934(f934(x43532,a922),a922),x43531),f316(x43532)),x43534)),f335(f316(x43532),f335(f335(f45(x43531,f934(x43532,a922)),x43533),x43534))) % 209.33/209.62 [4384]E(f335(f335(f44(f934(x43841,a922),f934(x43842,a922)),x43843),f335(f335(f7(f934(x43841,a922),f934(x43841,f934(x43842,a922)),f934(x43842,a922)),f44(x43841,f934(x43842,a922))),x43844)),f335(f335(f44(x43841,f934(x43842,a922)),f42(f934(x43841,a922),x43843)),x43844)) % 209.33/209.62 [4385]E(f335(f335(f45(f934(x43851,a922),f934(x43852,a922)),x43853),f335(f335(f7(f934(x43851,a922),f934(x43851,f934(x43852,a922)),f934(x43852,a922)),f45(x43851,f934(x43852,a922))),x43854)),f335(f335(f45(x43851,f934(x43852,a922)),f42(f934(x43851,a922),x43853)),x43854)) % 209.33/209.62 [4390]E(f335(f335(f161(x43901,x43902),x43903),f335(f149(f928(x43901),f928(x43901),f141(x43901),f120(x43901)),x43904)),f335(f149(f928(x43902),f928(x43902),f141(x43902),f120(x43902)),f335(f335(f161(f928(x43901),f928(x43902)),f335(f161(x43901,x43902),x43903)),x43904))) % 209.33/209.62 [4392]E(f192(f928(x43921),f120(x43921),f335(f335(f8(f928(x43921),f928(x43921),a927),f335(f158(x43921),x43922)),f335(f335(f7(a927,f928(x43921),f928(x43921)),f182(x43921)),x43923)),x43924),f335(f335(f182(x43921),x43924),f335(f335(f158(x43921),x43922),x43923))) % 209.33/209.62 [4430]P106(f335(f335(f243(f934(x44301,a922)),f335(f318(x44302,x44301,x44303),f335(f319(x44302,x44301,x44303),x44304))),x44304)) % 209.33/209.62 [4432]E(f335(f318(f933(x44321,x44322),f933(x44322,x44321),f335(f265(x44321,x44322,f933(x44322,x44321)),f335(f7(x44322,x44321,f933(x44322,x44321)),f260(x44322,x44321)))),f335(f335(f262(x44321,x44322),x44323),f335(f16(f934(x44322,a922),x44321),x44324))),f335(f335(f262(x44322,x44321),x44324),f335(f16(f934(x44321,a922),x44322),x44323))) % 209.33/209.62 [4441]E(f335(f335(f44(x44411,f934(x44412,a922)),x44413),f335(f335(f8(f934(x44411,a922),f934(x44412,a922),x44411),f319(x44412,x44411,x44414)),f335(f335(f7(x44411,f934(x44411,a922),f934(x44411,a922)),f317(x44411)),f195(f934(x44411,a922))))),f335(f319(x44412,x44411,x44414),x44413)) % 209.33/209.62 [4442]E(f335(f335(f44(x44421,f934(x44422,a922)),x44423),f335(f335(f8(f934(x44421,a922),f934(x44422,a922),x44421),f293(x44421,x44422,x44424)),f335(f335(f7(x44421,f934(x44421,a922),f934(x44421,a922)),f317(x44421)),f195(f934(x44421,a922))))),f335(f293(x44421,x44422,x44424),x44423)) % 209.33/209.62 [4529]E(f335(f335(f117(f934(x45291,a922)),f335(f335(f117(f934(x45291,a922)),f335(f335(f108(f934(x45291,a922)),x45292),x45293)),f335(f335(f108(f934(x45291,a922)),x45293),x45294))),f335(f335(f108(f934(x45291,a922)),x45294),x45292)),f335(f335(f108(f934(x45291,a922)),f335(f335(f108(f934(x45291,a922)),f335(f335(f117(f934(x45291,a922)),x45292),x45293)),f335(f335(f117(f934(x45291,a922)),x45293),x45294))),f335(f335(f117(f934(x45291,a922)),x45294),x45292))) % 209.33/209.62 [4592]E(f335(f149(f928(x45921),f928(x45921),f141(x45921),f120(x45921)),f335(f335(f161(x45922,f928(x45921)),f335(f335(f7(x45922,f928(x45921),f928(x45921)),f335(f335(f8(x45921,f934(f928(x45921),f928(x45921)),x45922),f158(x45921)),x45923)),f120(x45921))),x45924)),f335(f335(f161(x45922,x45921),x45923),x45924)) % 209.33/209.62 [4602]E(f335(f335(f92(a1,x46021),f335(f110(a1),f335(f335(f86(a1),x46022),a104))),f335(f335(f18(a1,x46021,x46021),f335(f335(f7(a1,x46021,f934(x46021,x46021)),f335(f335(f8(a922,f934(x46021,f934(x46021,x46021)),a1),f103(x46021)),a200)),x46023)),f335(f335(f8(a927,x46021,a1),x46024),a111))),f192(x46021,x46023,x46024,f335(f110(a927),x46022))) % 209.33/209.62 [4633]E(f335(f270(x46331),f335(f335(f8(f934(x46332,a922),a922,x46331),f93(x46332)),f335(f335(f8(f934(x46332,a922),f934(x46332,a922),x46331),f335(f18(x46332,a922,a922),f335(f335(f8(a922,f934(a922,a922),x46332),a333),f335(f335(f7(x46332,f934(x46332,a922),a922),f337(x46332)),x46333)))),f335(f7(x46332,x46331,a922),x46334)))),f335(f293(x46332,x46331,f335(f270(f933(x46332,x46331)),f335(f265(x46332,x46331,a922),x46334))),x46333)) % 209.33/209.62 [4801]~P106(f335(f335(f195(f934(x48011,f934(x48012,a922))),x48013),x48014)) % 209.33/209.62 [4089]E(f335(f335(f171(x40891),f335(f335(f141(x40891),x40892),x40893)),f335(f335(f86(a927),f335(f196(f928(x40891)),x40892)),x40894)),f335(f335(f171(x40891),x40893),x40894)) % 209.33/209.62 [4094]E(f335(f335(f145(x40941),x40942),f335(f335(f182(x40941),f335(f335(f86(a927),x40943),x40942)),x40944)),f335(f335(f182(x40941),x40943),f335(f335(f145(x40941),x40942),x40944))) % 209.33/209.62 [4195]E(f335(f335(f117(f934(x41951,a922)),f335(f292(x41952,x41951),x41953)),f335(f292(x41952,x41951),x41954)),f335(f292(x41952,x41951),f335(f335(f117(f934(f933(x41952,x41951),a922)),x41953),x41954))) % 209.33/209.62 [4196]E(f335(f335(f117(f934(x41961,a922)),f335(f272(x41961,x41962),x41963)),f335(f272(x41961,x41962),x41964)),f335(f272(x41961,x41962),f335(f335(f117(f934(f933(x41961,x41962),a922)),x41963),x41964))) % 209.33/209.63 [4201]E(f335(f335(f23(f934(x42011,a922)),f335(f335(f108(f934(x42011,a922)),x42012),x42013)),x42014),f335(f335(f108(f934(x42011,a922)),x42012),f335(f335(f23(f934(x42011,a922)),x42013),x42014))) % 209.33/209.63 [4202]E(f335(f335(f108(f934(x42021,a922)),f335(f335(f108(f934(x42021,a922)),x42022),x42023)),x42024),f335(f335(f108(f934(x42021,a922)),x42022),f335(f335(f108(f934(x42021,a922)),x42023),x42024))) % 209.33/209.63 [4203]E(f335(f335(f117(f934(x42031,a922)),f335(f335(f117(f934(x42031,a922)),x42032),x42033)),x42034),f335(f335(f117(f934(x42031,a922)),x42032),f335(f335(f117(f934(x42031,a922)),x42033),x42034))) % 209.33/209.63 [4241]E(f335(f335(f108(f934(f933(x42411,x42412),a922)),f335(f294(x42412,x42411),x42413)),f335(f294(x42412,x42411),x42414)),f335(f294(x42412,x42411),f335(f335(f108(f934(f933(x42412,x42411),a922)),x42413),x42414))) % 209.33/209.63 [4242]E(f335(f335(f117(f934(f933(x42421,x42422),a922)),f335(f294(x42422,x42421),x42423)),f335(f294(x42422,x42421),x42424)),f335(f294(x42422,x42421),f335(f335(f117(f934(f933(x42422,x42421),a922)),x42423),x42424))) % 209.33/209.63 [4255]E(f335(f335(f108(f934(x42551,f934(x42552,a922))),f251(x42552,x42551,x42553)),f251(x42552,x42551,x42554)),f251(x42552,x42551,f335(f335(f108(f934(x42552,f934(x42551,a922))),x42553),x42554))) % 209.33/209.63 [4256]E(f335(f335(f117(f934(x42561,f934(x42562,a922))),f251(x42562,x42561,x42563)),f251(x42562,x42561,x42564)),f251(x42562,x42561,f335(f335(f117(f934(x42562,f934(x42561,a922))),x42563),x42564))) % 209.33/209.63 [4310]E(f335(f335(f117(f934(x43101,a922)),f335(f335(f23(f934(x43101,a922)),x43102),x43103)),f335(f335(f23(f934(x43101,a922)),x43104),x43103)),f335(f335(f23(f934(x43101,a922)),f335(f335(f117(f934(x43101,a922)),x43102),x43104)),x43103)) % 209.33/209.63 [4311]E(f335(f335(f23(f934(x43111,a922)),f335(f335(f108(f934(x43111,a922)),x43112),x43113)),f335(f335(f108(f934(x43111,a922)),x43114),x43113)),f335(f335(f108(f934(x43111,a922)),f335(f335(f23(f934(x43111,a922)),x43112),x43114)),x43113)) % 209.33/209.63 [4312]E(f335(f335(f117(f934(x43121,a922)),f335(f335(f108(f934(x43121,a922)),x43122),x43123)),f335(f335(f108(f934(x43121,a922)),x43124),x43123)),f335(f335(f108(f934(x43121,a922)),f335(f335(f117(f934(x43121,a922)),x43122),x43124)),x43123)) % 209.33/209.63 [4313]E(f335(f335(f108(f934(x43131,a922)),f335(f335(f117(f934(x43131,a922)),x43132),x43133)),f335(f335(f117(f934(x43131,a922)),x43134),x43133)),f335(f335(f117(f934(x43131,a922)),f335(f335(f108(f934(x43131,a922)),x43132),x43134)),x43133)) % 209.33/209.63 [4314]E(f335(f335(f23(f934(x43141,a922)),f335(f335(f108(f934(x43141,a922)),x43142),x43143)),f335(f335(f108(f934(x43141,a922)),x43144),x43143)),f335(f335(f23(f934(x43141,a922)),f335(f335(f108(f934(x43141,a922)),x43142),x43143)),x43144)) % 209.33/209.63 [4326]E(f335(f335(f23(f934(x43261,a922)),f335(f335(f23(f934(x43261,a922)),x43262),f335(f335(f317(x43261),x43263),f195(f934(x43261,a922))))),x43264),f335(f335(f23(f934(x43261,a922)),x43262),f335(f335(f317(x43261),x43263),x43264))) % 209.33/209.63 [4379]E(f335(f335(f117(f934(x43791,a922)),f335(f335(f317(x43791),x43792),f335(f335(f317(x43791),x43793),f195(f934(x43791,a922))))),f335(f289(x43791),x43794)),f335(f289(x43791),f335(f335(f317(f933(x43791,x43791)),f335(f335(f260(x43791,x43791),x43792),x43793)),x43794))) % 209.33/209.63 [4406]E(f335(f335(f44(a927,f934(x44061,a922)),f335(f309(a927),x44062)),f335(f335(f8(a927,f934(x44061,a922),a927),x44063),f335(f335(f7(a927,a927,a927),f86(a927)),x44064))),f335(f335(f44(a927,f934(x44061,a922)),f311(a927,x44064,f335(f335(f86(a927),x44062),x44064))),x44063)) % 209.33/209.63 [4407]E(f181(x44071,f335(f293(x44071,x44071,x44072),f335(f335(f317(x44071),x44073),f195(f934(x44071,a922)))),f335(f293(f928(x44071),f928(x44071),f165(x44071,x44072)),f335(f335(f317(f928(x44071)),x44074),f195(f934(f928(x44071),a922))))),f335(f293(f928(x44071),f928(x44071),f165(x44071,x44072)),f335(f335(f317(f928(x44071)),f335(f335(f158(x44071),x44073),x44074)),f195(f934(f928(x44071),a922))))) % 209.33/209.63 [4471]E(f335(f270(x44711),f335(f335(f7(x44711,f934(x44712,a922),a922),f335(f335(f8(x44712,f934(f934(x44712,a922),a922),x44711),f337(x44712)),x44713)),x44714)),f335(f319(x44711,x44712,x44713),x44714)) % 209.33/209.63 [4561]E(f335(f270(x45611),f335(f335(f7(x45611,f934(f933(x45612,x45611),a922),a922),f335(f335(f8(f933(x45612,x45611),f934(f934(f933(x45612,x45611),a922),a922),x45611),f337(f933(x45612,x45611))),f335(f260(x45612,x45611),x45613))),x45614)),f335(f293(x45612,x45611,x45614),f335(f335(f317(x45612),x45613),f195(f934(x45612,a922))))) % 209.33/209.63 [4575]E(f335(f335(f161(f933(x45751,a927),x45751),f259(x45751,a927)),f335(f143(f933(x45751,a927),f335(f335(f8(a927,a922,f933(x45751,a927)),x45752),f335(f335(f8(a927,a927,f933(x45751,a927)),a119),f264(x45751,a927)))),f335(f335(f188(x45751,a927),x45753),x45754))),f335(f335(f161(f933(x45751,a927),x45751),f259(x45751,a927)),f335(f143(f933(x45751,a927),f335(f335(f8(a927,a922,f933(x45751,a927)),x45752),f264(x45751,a927))),f335(f335(f188(x45751,a927),x45753),f335(f335(f161(a927,a927),a119),x45754))))) % 209.33/209.63 [4584]P106(f335(f335(f243(f934(f934(x45841,a922),a922)),f335(f335(f44(x45842,f934(f934(x45841,a922),a922)),x45843),f335(f335(f8(f934(x45841,a922),f934(f934(x45841,a922),a922),x45842),f316(x45841)),x45844))),f335(f316(x45841),f335(f335(f44(x45842,f934(x45841,a922)),x45843),x45844)))) % 209.33/209.63 [4625]E(f335(f335(f92(a1,x46251),f335(f110(a1),f335(f335(f86(a1),x46252),a104))),f335(f335(f18(a1,x46251,x46251),f335(f335(f7(a1,x46251,f934(x46251,x46251)),f335(f335(f8(a922,f934(x46251,f934(x46251,x46251)),a1),f103(x46251)),a200)),x46253)),f335(f335(f18(a1,x46251,x46251),f335(f335(f8(a927,f934(x46251,x46251),a1),x46254),a111)),f335(f335(f8(a927,x46251,a1),f191(x46251,x46253,x46254)),a111)))),f335(f191(x46251,x46253,x46254),f335(f110(a927),x46252))) % 209.33/209.63 [4649]E(f335(f270(f933(x46491,x46492)),f335(f265(x46491,x46492,a922),f335(f335(f7(x46491,f934(x46492,a922),f934(x46492,a922)),f335(f335(f8(f934(a922,a922),f934(f934(x46492,a922),f934(x46492,a922)),x46491),f8(a922,a922,x46492)),f335(f335(f8(a922,f934(a922,a922),x46491),a333),f335(f335(f7(x46491,f934(x46491,a922),a922),f337(x46491)),x46493)))),f335(f335(f7(x46492,f934(x46492,a922),a922),f337(x46492)),x46494)))),f238(x46491,x46492,x46493,x46494)) % 209.33/209.63 [4687]E(f335(f335(f44(x46871,f934(f933(x46871,x46872),a922)),x46873),f335(f335(f18(x46871,f934(x46872,f934(f933(x46871,x46872),a922)),f934(f933(x46871,x46872),a922)),f335(f335(f8(f934(x46872,a922),f934(f934(x46872,f934(f933(x46871,x46872),a922)),f934(f933(x46871,x46872),a922)),x46871),f44(x46872,f934(f933(x46871,x46872),a922))),x46874)),f335(f335(f7(x46871,f934(f933(x46871,x46872),a922),f934(x46872,f934(f933(x46871,x46872),a922))),f335(f335(f8(f934(x46872,f934(f934(f933(x46871,x46872),a922),f934(f933(x46871,x46872),a922))),f934(f934(f933(x46871,x46872),a922),f934(x46872,f934(f933(x46871,x46872),a922))),x46871),f7(x46872,f934(f933(x46871,x46872),a922),f934(f933(x46871,x46872),a922))),f335(f335(f8(f934(x46872,f933(x46871,x46872)),f934(x46872,f934(f934(f933(x46871,x46872),a922),f934(f933(x46871,x46872),a922))),x46871),f335(f8(f933(x46871,x46872),f934(f934(f933(x46871,x46872),a922),f934(f933(x46871,x46872),a922)),x46872),f317(f933(x46871,x46872)))),f260(x46871,x46872)))),f195(f934(f933(x46871,x46872),a922))))),f335(f335(f262(x46871,x46872),x46873),x46874)) % 209.33/209.63 [4250]E(f335(f335(f141(x42501),f335(f335(f182(x42501),x42502),x42503)),f335(f335(f182(x42501),f335(f335(f23(a927),x42502),f335(f196(f928(x42501)),x42503))),x42504)),f335(f335(f182(x42501),x42502),f335(f335(f141(x42501),x42503),x42504))) % 209.33/209.63 [4251]E(f335(f335(f141(x42511),f335(f335(f145(x42511),x42512),x42513)),f335(f335(f145(x42511),f335(f335(f23(a927),x42512),f335(f196(f928(x42511)),x42513))),x42514)),f335(f335(f145(x42511),x42512),f335(f335(f141(x42511),x42513),x42514))) % 209.33/209.63 [4300]E(f335(f335(f86(a927),f335(f335(f87(a927),x43001),x43002)),f335(f335(f86(a927),f335(f335(f87(a927),x43003),x43002)),x43004)),f335(f335(f86(a927),f335(f335(f87(a927),f335(f335(f86(a927),x43001),x43003)),x43002)),x43004)) % 209.33/209.63 [4447]E(f96(x44471,f335(f335(f7(x44471,x44472,a922),f335(f335(f8(x44472,f934(x44472,a922),x44471),a332),x44473)),x44474)),f335(f97(x44471,x44472,f250(f934(x44471,a922)),x44473),x44474)) % 209.33/209.63 [4495]P106(f335(f335(f243(f934(x44951,a922)),f335(f335(f23(f934(x44951,a922)),f335(f292(x44952,x44951),x44953)),f335(f292(x44952,x44951),x44954))),f335(f292(x44952,x44951),f335(f335(f23(f934(f933(x44952,x44951),a922)),x44953),x44954)))) % 209.33/209.63 [4496]P106(f335(f335(f243(f934(x44961,a922)),f335(f335(f23(f934(x44961,a922)),f335(f272(x44961,x44962),x44963)),f335(f272(x44961,x44962),x44964))),f335(f272(x44961,x44962),f335(f335(f23(f934(f933(x44961,x44962),a922)),x44963),x44964)))) % 209.33/209.63 [4604]E(f335(f335(f86(a1),f335(a95,f335(f293(f933(a927,a927),f933(a927,a927),a115),f335(f335(f317(f933(a927,a927)),f335(f335(f260(a927,a927),x46041),x46042)),f195(f934(f933(a927,a927),a922)))))),f335(a95,f335(f293(f933(a927,a927),f933(a927,a927),a115),f335(f335(f317(f933(a927,a927)),f335(f335(f260(a927,a927),x46043),x46044)),f195(f934(f933(a927,a927),a922)))))),f335(a95,f335(f293(f933(a927,a927),f933(a927,a927),a115),f335(f335(f317(f933(a927,a927)),f335(f335(f260(a927,a927),f335(f335(f86(a927),x46041),x46043)),f335(f335(f86(a927),x46042),x46044))),f195(f934(f933(a927,a927),a922)))))) % 209.33/209.63 [4644]E(f335(f335(f87(a1),f335(a95,f335(f293(f933(a927,a927),f933(a927,a927),a115),f335(f335(f317(f933(a927,a927)),f335(f335(f260(a927,a927),x46441),x46442)),f195(f934(f933(a927,a927),a922)))))),f335(a95,f335(f293(f933(a927,a927),f933(a927,a927),a115),f335(f335(f317(f933(a927,a927)),f335(f335(f260(a927,a927),x46443),x46444)),f195(f934(f933(a927,a927),a922)))))),f335(a95,f335(f293(f933(a927,a927),f933(a927,a927),a115),f335(f335(f317(f933(a927,a927)),f335(f335(f260(a927,a927),f335(f335(f86(a927),f335(f335(f87(a927),x46441),x46443)),f335(f335(f87(a927),x46442),x46444))),f335(f335(f86(a927),f335(f335(f87(a927),x46441),x46444)),f335(f335(f87(a927),x46442),x46443)))),f195(f934(f933(a927,a927),a922)))))) % 209.33/209.63 [4665]E(f335(f270(x46651),f335(f335(f8(f934(x46652,a922),a922,x46651),f94(x46652)),f335(f335(f8(f934(x46652,a922),f934(x46652,a922),x46651),f335(f18(x46652,a922,a922),f335(f335(f8(a922,f934(a922,a922),x46652),a338),f335(f335(f7(x46652,f934(x46652,a922),a922),f337(x46652)),x46653)))),f335(f335(f7(x46651,f934(x46652,f934(x46651,a922)),f934(x46652,a922)),f335(f335(f8(f934(f934(x46651,a922),a922),f934(f934(x46652,f934(x46651,a922)),f934(x46652,a922)),x46651),f8(f934(x46651,a922),a922,x46652)),f337(x46651))),x46654)))),f335(f335(f45(x46652,f934(x46651,a922)),x46653),x46654)) % 209.33/209.63 [4699]E(f335(f335(f297(x46991,x46991,x46991),f335(f335(f317(f933(x46991,x46991)),f335(f335(f260(x46991,x46991),x46992),x46993)),x46994)),f315(x46991,f335(f335(f317(f933(x46991,x46991)),f335(f335(f260(x46991,x46991),x46992),x46993)),x46994))),f335(f335(f117(f934(f933(x46991,x46991),a922)),f335(f335(f297(x46991,x46991,x46991),x46994),f315(x46991,x46994))),f335(f270(f933(x46991,x46991)),f335(f265(x46991,x46991,a922),f335(f335(f7(x46991,f934(x46991,a922),f934(x46991,a922)),f335(f335(f8(f934(a922,a922),f934(f934(x46991,a922),f934(x46991,a922)),x46991),f8(a922,a922,x46991)),f335(f335(f8(a922,f934(a922,a922),x46991),a333),f335(f335(f7(x46991,f934(f933(x46991,x46991),a922),a922),f335(f335(f8(f933(x46991,x46991),f934(f934(f933(x46991,x46991),a922),a922),x46991),f337(f933(x46991,x46991))),f335(f335(f7(x46991,x46991,f933(x46991,x46991)),f260(x46991,x46991)),x46992))),f315(x46991,x46994))))),f335(f335(f7(x46991,f934(f933(x46991,x46991),a922),a922),f335(f335(f8(f933(x46991,x46991),f934(f934(f933(x46991,x46991),a922),a922),x46991),f337(f933(x46991,x46991))),f335(f260(x46991,x46991),x46993))),f315(x46991,x46994))))))) % 209.33/209.63 [4497]E(f335(f143(x44971,f335(f335(f18(x44971,a922,a922),f335(f335(f8(a922,f934(a922,a922),x44971),a333),x44972)),x44973)),x44974),f335(f143(x44971,x44973),f335(f143(x44971,x44972),x44974))) % 209.33/209.63 [4598]E(f335(f335(f141(x45981),f335(f335(f335(f103(f928(x45981)),f335(f335(f337(a927),f2(a927)),x45982)),f335(f335(f158(x45981),x45983),f120(x45981))),f120(x45981))),f183(x45981,x45984,f335(f270(a927),f335(f335(f7(a927,f934(a927,a922),a922),f335(f335(f8(a927,f934(f934(a927,a922),a922),a927),f337(a927)),a119)),x45982)))),f183(x45981,f335(f335(f158(x45981),x45983),x45984),x45982)) % 209.33/209.63 [4695]E(f335(f270(f933(x46951,x46952)),f335(f335(f8(f934(a927,a922),a922,f933(x46951,x46952)),f93(a927)),f335(f335(f7(f933(x46951,x46952),f934(a927,a922),f934(a927,a922)),f335(f335(f8(f934(a927,f934(a922,a922)),f934(f934(a927,a922),f934(a927,a922)),f933(x46951,x46952)),f18(a927,a922,a922)),f335(f335(f8(f934(a927,a922),f934(a927,f934(a922,a922)),f933(x46951,x46952)),f335(f8(a922,f934(a922,a922),a927),a333)),f335(f335(f7(f933(x46951,x46952),f934(a927,f933(x46951,x46952)),f934(a927,a922)),f335(f335(f8(f934(f933(x46951,x46952),a922),f934(f934(a927,f933(x46951,x46952)),f934(a927,a922)),f933(x46951,x46952)),f8(f933(x46951,x46952),a922,a927)),a332)),f335(f335(f18(a927,x46952,f933(x46951,x46952)),f335(f335(f8(x46951,f934(x46952,f933(x46951,x46952)),a927),f260(x46951,x46952)),f335(f171(x46951),x46953))),f335(f171(x46952),x46954)))))),f335(f335(f7(a927,a927,a922),f244(a927)),f335(f335(f241(a927),f335(f196(f928(x46951)),x46953)),f335(f196(f928(x46952)),x46954)))))),f335(f179(f933(x46951,x46952)),f335(f335(f188(x46951,x46952),x46953),x46954))) % 209.33/209.63 [4617]E(f335(f270(f933(x46171,x46172)),f335(f265(x46171,x46172,a922),f335(f335(f7(x46171,f934(x46172,a922),f934(x46172,a922)),f335(f335(f8(f934(a922,a922),f934(f934(x46172,a922),f934(x46172,a922)),x46171),f8(a922,a922,x46172)),f335(f335(f8(a922,f934(a922,a922),x46171),a333),x46173))),x46174))),f335(f335(f262(x46171,x46172),f335(f270(x46171),x46173)),f335(f16(f934(x46172,a922),x46171),f335(f270(x46172),x46174)))) % 209.33/209.63 [4620]E(f335(f270(f933(x46201,x46202)),f335(f265(x46201,x46202,a922),f335(f335(f18(x46201,f934(x46202,a922),f934(x46202,a922)),f335(f335(f8(f934(a922,a922),f934(f934(x46202,a922),f934(x46202,a922)),x46201),f8(a922,a922,x46202)),f335(f335(f8(a922,f934(a922,a922),x46201),a333),x46203))),x46204))),f335(f335(f262(x46201,x46202),f335(f270(x46201),x46203)),f335(f335(f8(f934(x46202,a922),f934(x46202,a922),x46201),f270(x46202)),x46204))) % 209.33/209.63 [4632]E(f335(f270(x46321),f335(f335(f8(f934(x46322,a922),a922,x46321),f94(x46322)),f335(f335(f8(f934(x46322,a922),f934(x46322,a922),x46321),f335(f18(x46322,a922,a922),f335(f335(f8(a922,f934(a922,a922),x46322),a338),f335(f335(f7(x46322,f934(x46322,a922),a922),f337(x46322)),x46323)))),x46324))),f335(f335(f45(x46322,f934(x46321,a922)),x46323),f335(f335(f8(f934(x46321,a922),f934(x46321,a922),x46322),f270(x46321)),f335(f7(x46321,x46322,a922),x46324)))) % 209.33/209.63 [4679]E(f335(f335(f161(f933(x46791,a927),x46791),f259(x46791,a927)),f335(f143(f933(x46791,a927),f335(f335(f7(f933(x46791,a927),f934(a927,a922),a922),f335(f335(f8(a927,f934(f934(a927,a922),a922),f933(x46791,a927)),f337(a927)),f264(x46791,a927))),x46792)),f335(f335(f188(x46791,a927),x46793),f146(a927,f335(f310(a927,x46794),f335(f335(f86(a927),x46794),f335(f196(f928(x46791)),x46793))))))),f335(f335(f161(f933(x46791,a927),x46791),f259(x46791,a927)),f335(f143(f933(x46791,a927),f335(f335(f7(f933(x46791,a927),f934(a927,a922),a922),f335(f335(f8(a927,f934(f934(a927,a922),a922),f933(x46791,a927)),f337(a927)),f335(f335(f7(f933(x46791,a927),a927,a927),f335(f335(f8(a927,f934(a927,a927),f933(x46791,a927)),f86(a927)),f264(x46791,a927))),x46794))),x46792)),f335(f335(f188(x46791,a927),x46793),f146(a927,f335(f310(a927,f2(a927)),f335(f196(f928(x46791)),x46793))))))) % 209.33/209.63 [4680]E(f335(a119,f335(f335(f242(a927),f335(f196(f928(x46801)),x46802)),f335(f149(a927,f928(x46803),f335(f7(f928(x46803),a927,a927),f335(f335(f8(a927,f934(a927,a927),f928(x46803)),f242(a927)),f335(f335(f7(f928(x46803),a927,a927),f335(f335(f8(a927,f934(a927,a927),f928(x46803)),f23(a927)),f196(f928(x46803)))),f335(a119,f2(a927))))),f2(a927)),f335(f175(f928(x46803)),f335(f143(f928(x46803),f335(f335(f8(a922,a922,f928(x46803)),a330),f335(f335(f7(f928(x46803),f928(x46803),a922),a332),f120(x46803)))),x46804))))),f335(f335(f242(a927),f335(a119,f335(f196(f928(x46801)),x46802))),f335(f149(a927,f928(x46803),f335(f7(f928(x46803),a927,a927),f335(f335(f8(a927,f934(a927,a927),f928(x46803)),f242(a927)),f196(f928(x46803)))),f2(a927)),f335(f175(f928(x46803)),x46804)))) % 209.33/209.63 [4631]E(f335(f335(f141(x46311),f183(x46311,x46312,x46313)),f183(x46311,x46314,f335(f270(a927),f335(f335(f7(a927,f934(a927,a922),a922),f335(f335(f8(a927,f934(f934(a927,a922),a922),a927),f337(a927)),f335(f335(f7(a927,a927,a927),f86(a927)),f335(f196(f928(x46311)),x46312)))),x46313)))),f183(x46311,f335(f335(f141(x46311),x46312),x46314),x46313)) % 209.33/209.63 [4681]E(f42(f934(x46811,a922),f335(f270(f934(x46811,a922)),f335(f335(f8(f934(x46812,a922),a922,f934(x46811,a922)),f93(x46812)),f335(f335(f8(f934(x46812,a922),f934(x46812,a922),f934(x46811,a922)),f335(f18(x46812,a922,a922),f335(f335(f8(a922,f934(a922,a922),x46812),a333),f335(f335(f7(x46812,f934(x46812,a922),a922),f337(x46812)),x46813)))),f335(f335(f7(f934(x46811,a922),f934(x46812,f934(x46811,a922)),f934(x46812,a922)),f335(f335(f8(f934(f934(x46811,a922),a922),f934(f934(x46812,f934(x46811,a922)),f934(x46812,a922)),f934(x46811,a922)),f8(f934(x46811,a922),a922,x46812)),a332)),x46814))))),f335(f335(f44(x46812,f934(x46811,a922)),x46813),x46814)) % 209.33/209.63 [4682]E(f43(f934(x46821,a922),f335(f270(f934(x46821,a922)),f335(f335(f8(f934(x46822,a922),a922,f934(x46821,a922)),f93(x46822)),f335(f335(f8(f934(x46822,a922),f934(x46822,a922),f934(x46821,a922)),f335(f18(x46822,a922,a922),f335(f335(f8(a922,f934(a922,a922),x46822),a333),f335(f335(f7(x46822,f934(x46822,a922),a922),f337(x46822)),x46823)))),f335(f335(f7(f934(x46821,a922),f934(x46822,f934(x46821,a922)),f934(x46822,a922)),f335(f335(f8(f934(f934(x46821,a922),a922),f934(f934(x46822,f934(x46821,a922)),f934(x46822,a922)),f934(x46821,a922)),f8(f934(x46821,a922),a922,x46822)),a332)),x46824))))),f335(f335(f45(x46822,f934(x46821,a922)),x46823),x46824)) % 209.33/209.63 [4689]E(f335(f335(f158(f928(x46891)),f335(f335(f158(x46891),x46892),f335(f149(f928(x46891),f928(x46891),f141(x46891),f120(x46891)),f335(f335(f161(f928(x46891),f928(x46891)),f163(f928(x46891),x46891,f120(x46891),f335(f335(f8(f928(x46891),f934(f928(x46891),f928(x46891)),x46891),f16(f928(x46891),f928(x46891))),f335(f335(f7(x46891,f928(x46891),f928(x46891)),f158(x46891)),f120(x46891))))),x46893)))),f186(x46891,f335(f335(f158(f928(x46891)),x46894),f335(f149(f928(f928(x46891)),f928(f928(x46891)),f141(f928(x46891)),f120(f928(x46891))),f335(f335(f161(f928(x46891),f928(f928(x46891))),f163(f928(f928(x46891)),x46891,f120(f928(x46891)),f335(f16(f934(f928(x46891),f928(f928(x46891))),x46891),f335(f335(f7(f928(x46891),f928(f928(x46891)),f928(f928(x46891))),f158(f928(x46891))),f120(f928(x46891)))))),x46893))))),f186(x46891,f335(f335(f158(f928(x46891)),f335(f335(f158(x46891),x46892),x46894)),x46893))) % 209.33/209.63 [4696]E(f335(f270(f933(x46961,x46961)),f335(f265(x46961,x46961,a922),f335(f335(f7(x46961,f934(f933(x46962,x46962),a922),f934(x46961,a922)),f335(f335(f8(f934(x46961,f934(f934(f933(x46962,x46962),a922),a922)),f934(f934(f933(x46962,x46962),a922),f934(x46961,a922)),x46961),f7(x46961,f934(f933(x46962,x46962),a922),a922)),f335(f335(f8(f934(x46961,f933(x46962,x46962)),f934(x46961,f934(f934(f933(x46962,x46962),a922),a922)),x46961),f335(f8(f933(x46962,x46962),f934(f934(f933(x46962,x46962),a922),a922),x46961),f337(f933(x46962,x46962)))),f335(f335(f7(x46961,f934(x46961,x46962),f934(x46961,f933(x46962,x46962))),f335(f335(f8(f934(x46962,f933(x46962,x46962)),f934(f934(x46961,x46962),f934(x46961,f933(x46962,x46962))),x46961),f8(x46962,f933(x46962,x46962),x46961)),f335(f335(f8(x46962,f934(x46962,f933(x46962,x46962)),x46961),f260(x46962,x46962)),x46963))),x46963)))),x46964))),f335(f335(f296(x46962,x46961),x46964),x46963)) % 209.33/209.63 [4750]~E(f31(x47501,x47502),f29(x47503,x47504,x47505)) % 209.33/209.63 [4751]~E(f31(x47511,x47512),f28(x47513,x47514,x47515)) % 209.33/209.63 [4752]~E(f32(x47521,x47522),f29(x47523,x47524,x47525)) % 209.33/209.63 [4753]~E(f32(x47531,x47532),f28(x47533,x47534,x47535)) % 209.33/209.63 [4754]~E(f27(x47541,x47542),f29(x47543,x47544,x47545)) % 209.33/209.63 [4755]~E(f27(x47551,x47552),f28(x47553,x47554,x47555)) % 209.33/209.63 [4756]~E(f29(x47561,x47562,x47563),f31(x47564,x47565)) % 209.33/209.63 [4757]~E(f29(x47571,x47572,x47573),f32(x47574,x47575)) % 209.33/209.63 [4758]~E(f29(x47581,x47582,x47583),f27(x47584,x47585)) % 209.33/209.63 [4759]~E(f28(x47591,x47592,x47593),f31(x47594,x47595)) % 209.33/209.63 [4760]~E(f28(x47601,x47602,x47603),f32(x47604,x47605)) % 209.33/209.63 [4761]~E(f28(x47611,x47612,x47613),f27(x47614,x47615)) % 209.33/209.63 [3825]E(f335(f335(f161(x38251,x38252),x38253),f176(x38251,x38254,x38255)),f176(x38252,x38254,f335(x38253,x38255))) % 209.33/209.63 [4039]E(f100(x40391,x40392,f98(x40391,x40393,x40394,x40395)),f2(a927)) % 209.33/209.63 [4163]E(f137(x41631,x41632,x41633,f133(x41631,x41634,x41635)),f133(x41632,f335(x41633,x41634),f137(x41631,x41632,x41633,x41635))) % 209.33/209.63 [4396]E(f335(f80(x43961,x43962,x43963,x43964,x43965),x43964),x43965) % 209.33/209.63 [4448]E(f261(x44481,x44482,x44483,f251(x44482,x44481,x44484),f251(x44483,x44482,x44485)),f251(x44483,x44481,f261(x44483,x44482,x44481,x44485,x44484))) % 209.33/209.63 [4018]E(f335(f335(f265(x40181,x40182,x40183),x40184),x40185),f335(f335(x40184,f335(f259(x40181,x40182),x40185)),f335(f264(x40181,x40182),x40185))) % 209.33/209.63 [4054]E(f335(f335(f335(f70(x40541,x40542,x40543),x40544),x40545),f195(f934(x40542,a922))),x40545) % 209.33/209.63 [4334]E(f335(f78(f928(x43341),f928(x43342),f928(x43343),f335(f161(x43341,x43342),x43344)),f335(f161(x43343,x43341),x43345)),f335(f161(x43343,x43342),f335(f78(x43341,x43342,x43343,x43344),x43345))) % 209.33/209.63 [4410]E(f91(x44101,f71(x44102,x44101,x44103,x44104,x44105)),f335(f335(f69(x44102,x44101,x44103),x44104),x44105)) % 209.33/209.63 [4444]E(f335(f335(f86(a927),f335(f335(f86(a927),f335(x44441,f335(f259(x44442,x44443),x44444))),f335(x44445,f335(f264(x44442,x44443),x44444)))),f335(a119,f2(a927))),f269(x44442,x44443,x44441,x44445,x44444)) % 209.33/209.63 [3954]E(f335(f335(f182(x39541),x39542),f335(f335(f161(x39543,x39541),x39544),x39545)),f335(f335(f161(x39543,x39541),x39544),f335(f335(f182(x39543),x39542),x39545))) % 209.33/209.63 [3955]E(f335(f335(f145(x39551),x39552),f335(f335(f161(x39553,x39551),x39554),x39555)),f335(f335(f161(x39553,x39551),x39554),f335(f335(f145(x39553),x39552),x39555))) % 209.33/209.63 [3987]E(f335(f335(f161(x39871,x39872),x39873),f335(f335(f158(x39871),x39874),x39875)),f335(f335(f158(x39872),f335(x39873,x39874)),f335(f335(f161(x39871,x39872),x39873),x39875))) % 209.33/209.63 [4050]E(f335(f318(x40501,x40502,x40503),f335(f335(f317(x40501),x40504),x40505)),f335(f335(f317(x40502),f335(x40503,x40504)),f335(f318(x40501,x40502,x40503),x40505))) % 209.33/209.63 [4078]E(f180(x40781,f335(f335(f158(x40781),x40782),x40783),f335(f335(f158(x40781),x40784),x40785)),f335(f335(f158(x40781),x40782),f335(f335(f158(x40781),x40784),f180(x40781,x40783,x40785)))) % 209.33/209.63 [4115]E(f335(f335(f188(x41151,x41152),f335(f335(f182(x41151),x41153),x41154)),f335(f335(f182(x41152),x41153),x41155)),f335(f335(f182(f933(x41151,x41152)),x41153),f335(f335(f188(x41151,x41152),x41154),x41155))) % 209.33/209.63 [4116]E(f335(f335(f188(x41161,x41162),f335(f335(f145(x41161),x41163),x41164)),f335(f335(f145(x41162),x41163),x41165)),f335(f335(f145(f933(x41161,x41162)),x41163),f335(f335(f188(x41161,x41162),x41164),x41165))) % 209.33/209.63 [4126]E(f335(f335(f166(x41261,f335(f335(f158(x41261),x41262),x41263)),f335(a119,x41264)),x41265),f335(f335(f158(x41261),x41262),f335(f335(f166(x41261,x41263),x41264),x41265))) % 209.33/209.63 [4129]E(f335(f335(f141(x41291),f335(f335(f161(x41292,x41291),x41293),x41294)),f335(f335(f161(x41292,x41291),x41293),x41295)),f335(f335(f161(x41292,x41291),x41293),f335(f335(f141(x41292),x41294),x41295))) % 209.33/209.63 [4133]E(f335(f335(x41331,x41332),f335(f335(f253(x41333,x41334,x41331),x41332),x41335)),f335(f335(f253(x41333,x41334,x41331),x41332),f335(a119,x41335))) % 209.33/209.63 [4167]E(f170(x41671,x41672,x41673,f335(f335(f158(x41671),x41674),x41675)),f335(f335(f141(x41672),f335(x41673,x41674)),f170(x41671,x41672,x41673,x41675))) % 209.33/209.63 [4179]E(f335(f335(f297(x41791,x41792,x41793),f335(f294(x41792,x41791),x41794)),f335(f294(x41793,x41792),x41795)),f335(f294(x41793,x41791),f335(f335(f297(x41793,x41792,x41791),x41795),x41794))) % 209.33/209.63 [4211]E(f335(f335(f335(f190(f928(x42111),f928(x42111)),x42112),f174(x42111)),f335(f335(f161(x42113,x42111),x42114),x42115)),f335(f335(f161(x42113,x42111),x42114),f335(f335(f335(f190(f928(x42113),f928(x42113)),x42112),f174(x42113)),x42115))) % 209.33/209.63 [4212]E(f335(f335(f267(x42121,x42122,x42121,x42123),f335(f260(x42122,x42121),x42124)),x42125),f335(x42125,x42124)) % 209.33/209.63 [4236]E(f162(x42361,x42362,f335(f335(f161(x42363,x42361),x42364),x42365)),f162(x42363,f335(f78(x42361,a927,x42363,x42362),x42364),x42365)) % 209.33/209.63 [4299]E(f184(f933(x42991,x42992),f335(f78(x42992,a922,f933(x42991,x42992),x42993),f264(x42991,x42992)),f335(f335(f188(x42991,x42992),x42994),x42995)),f335(f335(f188(x42991,x42992),x42994),f184(x42992,x42993,x42995))) % 209.33/209.63 [4304]E(f335(f318(x43041,x43042,f335(f335(f8(x43043,x43042,x43041),x43044),x43045)),f250(f934(x43041,a922))),f335(f318(x43043,x43042,x43044),f335(f318(x43041,x43043,x43045),f250(f934(x43041,a922))))) % 209.33/209.63 [4317]E(f184(f933(x43171,x43172),f335(f78(x43171,a922,f933(x43171,x43172),x43173),f259(x43171,x43172)),f335(f335(f188(x43171,x43172),x43174),x43175)),f335(f335(f188(x43171,x43172),f184(x43171,x43173,x43174)),x43175)) % 209.33/209.63 [4338]E(f335(f335(f117(f934(x43381,a922)),f335(f319(x43381,x43382,x43383),f335(f335(f317(x43382),x43384),f195(f934(x43382,a922))))),f335(f319(x43381,x43382,x43383),x43385)),f335(f319(x43381,x43382,x43383),f335(f335(f317(x43382),x43384),x43385))) % 209.33/209.63 [4395]E(f335(f335(f141(f933(x43951,x43952)),f335(f335(f161(x43952,f933(x43951,x43952)),f335(f260(x43951,x43952),x43953)),x43954)),f64(x43951,x43952,x43955,x43954)),f64(x43951,x43952,f335(f335(f158(x43951),x43953),x43955),x43954)) % 209.33/209.63 [4397]E(f335(f335(f161(x43971,x43972),x43973),f184(x43971,f335(f78(x43972,a922,x43971,x43974),x43973),x43975)),f184(x43972,x43974,f335(f335(f161(x43971,x43972),x43973),x43975))) % 209.33/209.63 [4402]E(f335(f149(x44021,x44022,f335(f7(x44022,x44021,x44021),f335(f7(x44021,x44022,x44021),x44023)),x44024),f335(f175(x44022),f335(f175(x44022),x44025))),f335(f149(x44021,x44022,x44023,x44024),x44025)) % 209.33/209.63 [4505]P106(f335(f335(f243(f934(x45051,a922)),f335(f318(x45052,x45051,x45053),f335(f335(f108(f934(x45052,a922)),x45054),x45055))),f335(f335(f108(f934(x45051,a922)),f335(f318(x45052,x45051,x45053),x45054)),f335(f318(x45052,x45051,x45053),x45055)))) % 209.33/209.63 [4506]P106(f335(f335(f243(f934(x45061,a922)),f335(f293(x45062,x45061,x45063),f335(f335(f108(f934(x45062,a922)),x45064),x45065))),f335(f335(f108(f934(x45061,a922)),f335(f293(x45062,x45061,x45063),x45064)),f335(f293(x45062,x45061,x45063),x45065)))) % 209.33/209.63 [4605]E(f335(f264(x46051,x46052),f335(f266(x46053,x46051,x46052,x46052,x46054,f25(x46052)),x46055)),f335(f264(x46053,x46052),x46055)) % 209.33/209.63 [4606]E(f335(f259(x46061,x46062),f335(f266(x46061,x46061,x46063,x46062,f25(x46061),x46064),x46065)),f335(f259(x46061,x46063),x46065)) % 209.33/209.63 [4671]P24(x46711,x46712,f335(f335(f317(f926(x46711)),f98(x46711,f335(f335(f7(x46711,f934(a923,a923),f934(a923,a922)),f335(f335(f8(f934(a923,a922),f934(f934(a923,a923),f934(a923,a922)),x46711),f8(a923,a922,a923)),x46713)),f335(f335(f18(a923,a927,a923),f335(f335(f7(a923,a925,f934(a927,a923)),a203),x46714)),x46715)),f27(x46714,x46715),x46713)),f195(f934(f926(x46711),a922)))) % 209.33/209.63 [3792]E(f335(f335(f335(f335(f213(x37921),x37922),x37923),x37924),x37925),f208(x37921,x37922)) % 209.33/209.63 [3793]E(f335(f335(f335(f335(f214(x37931),x37932),x37933),x37934),x37935),f199(x37931,x37932)) % 209.33/209.63 [4168]E(f335(f335(f44(x41681,f934(x41682,a922)),f335(f335(f317(x41681),x41683),x41684)),x41685),f335(f335(f117(f934(x41682,a922)),f335(x41685,x41683)),f335(f335(f44(x41681,f934(x41682,a922)),x41684),x41685))) % 209.33/209.63 [4169]E(f335(f335(f45(x41691,f934(x41692,a922)),f335(f335(f317(x41691),x41693),x41694)),x41695),f335(f335(f108(f934(x41692,a922)),f335(x41695,x41693)),f335(f335(f45(x41691,f934(x41692,a922)),x41694),x41695))) % 209.33/209.63 [4219]E(f335(f125(x42191,x42192,f335(x42193,x42194)),f335(f335(f7(x42191,a106,f929(x42192)),x42195),x42194)),f335(f206(x42191,x42192,x42193,x42195),x42194)) % 209.33/209.63 [4230]E(f335(f335(f117(f934(x42301,a922)),f335(f318(x42302,x42301,x42303),x42304)),f335(f318(x42302,x42301,x42303),x42305)),f335(f318(x42302,x42301,x42303),f335(f335(f117(f934(x42302,a922)),x42304),x42305))) % 209.33/209.63 [4231]E(f335(f335(f23(f934(x42311,a922)),f335(f319(x42311,x42312,x42313),x42314)),f335(f319(x42311,x42312,x42313),x42315)),f335(f319(x42311,x42312,x42313),f335(f335(f23(f934(x42312,a922)),x42314),x42315))) % 209.33/209.63 [4232]E(f335(f335(f108(f934(x42321,a922)),f335(f319(x42321,x42322,x42323),x42324)),f335(f319(x42321,x42322,x42323),x42325)),f335(f319(x42321,x42322,x42323),f335(f335(f108(f934(x42322,a922)),x42324),x42325))) % 209.33/209.63 [4233]E(f335(f335(f117(f934(x42331,a922)),f335(f319(x42331,x42332,x42333),x42334)),f335(f319(x42331,x42332,x42333),x42335)),f335(f319(x42331,x42332,x42333),f335(f335(f117(f934(x42332,a922)),x42334),x42335))) % 209.33/209.63 [4234]E(f335(f335(f117(f934(x42341,a922)),f335(f293(x42342,x42341,x42343),x42344)),f335(f293(x42342,x42341,x42343),x42345)),f335(f293(x42342,x42341,x42343),f335(f335(f117(f934(x42342,a922)),x42344),x42345))) % 209.33/209.63 [4295]E(f335(f335(f166(x42951,f335(f335(f141(x42951),x42952),f335(f335(f158(x42951),x42953),x42954))),f335(f196(f928(x42951)),x42952)),x42955),f335(f335(f141(x42951),x42952),f335(f335(f158(x42951),x42955),x42954))) % 209.33/209.63 [4302]E(f335(f335(f45(x43021,f934(x43022,a922)),x43023),f335(f335(f8(f934(x43022,a922),f934(x43022,a922),x43021),f335(f317(x43022),x43024)),x43025)),f335(f335(f317(x43022),x43024),f335(f335(f45(x43021,f934(x43022,a922)),x43023),x43025))) % 209.33/209.63 [4457]E(f335(f335(f161(x44571,x44572),x44573),f335(f143(x44571,f335(f78(x44572,a922,x44571,x44574),x44573)),x44575)),f335(f143(x44572,x44574),f335(f335(f161(x44571,x44572),x44573),x44575))) % 209.33/209.63 [4463]E(f335(f196(f928(x44631)),f335(f143(x44631,x44632),f335(f335(f161(x44633,x44631),x44634),x44635))),f335(f196(f928(x44633)),f335(f143(x44633,f335(f78(x44631,a922,x44633,x44632),x44634)),x44635))) % 209.33/209.63 [4672]E(f335(f163(f928(f933(x46721,x46722)),x46722,f120(f933(x46721,x46722)),f335(f335(f7(x46722,f934(f928(x46722),f928(f933(x46721,x46722))),f934(f928(x46722),f928(f933(x46721,x46722)))),f335(f335(f8(f934(f928(f933(x46721,x46722)),f928(f933(x46721,x46722))),f934(f934(f928(x46722),f928(f933(x46721,x46722))),f934(f928(x46722),f928(f933(x46721,x46722)))),x46722),f8(f928(f933(x46721,x46722)),f928(f933(x46721,x46722)),f928(x46722))),f335(f335(f8(f933(x46721,x46722),f934(f928(f933(x46721,x46722)),f928(f933(x46721,x46722))),x46722),f158(f933(x46721,x46722))),f335(f260(x46721,x46722),x46723)))),f335(f188(x46721,x46722),x46724))),x46725),f335(f335(f188(x46721,x46722),f335(f335(f158(x46721),x46723),x46724)),x46725)) % 209.33/209.63 [4160]E(f335(f335(f166(x41601,f335(f335(f166(x41601,x41602),x41603),x41604)),x41603),x41605),f335(f335(f166(x41601,x41602),x41603),x41605)) % 209.33/209.63 [4213]E(f335(f292(x42131,x42132),f335(f335(f317(f933(x42131,x42132)),f335(f335(f260(x42131,x42132),x42133),x42134)),x42135)),f335(f335(f317(x42132),x42134),f335(f292(x42131,x42132),x42135))) % 209.33/209.63 [4214]E(f335(f272(x42141,x42142),f335(f335(f317(f933(x42141,x42142)),f335(f335(f260(x42141,x42142),x42143),x42144)),x42145)),f335(f335(f317(x42141),x42143),f335(f272(x42141,x42142),x42145))) % 209.33/209.63 [4260]E(f129(x42601,x42602,f335(x42603,x42604),f335(f335(f7(x42601,a106,f929(f931(x42602))),x42605),x42604)),f335(f202(x42601,x42602,x42603,x42605),x42604)) % 209.33/209.63 [4288]E(f335(f335(f23(f934(f933(x42881,x42882),a922)),f335(f335(f262(x42881,x42882),x42883),x42884)),f335(f335(f262(x42881,x42882),x42885),x42884)),f335(f335(f262(x42881,x42882),f335(f335(f23(f934(x42881,a922)),x42883),x42885)),x42884)) % 209.33/209.63 [4289]E(f335(f335(f108(f934(f933(x42891,x42892),a922)),f335(f335(f262(x42891,x42892),x42893),x42894)),f335(f335(f262(x42891,x42892),x42895),x42894)),f335(f335(f262(x42891,x42892),f335(f335(f108(f934(x42891,a922)),x42893),x42895)),x42894)) % 209.33/209.63 [4290]E(f335(f335(f117(f934(f933(x42901,x42902),a922)),f335(f335(f262(x42901,x42902),x42903),x42904)),f335(f335(f262(x42901,x42902),x42905),x42904)),f335(f335(f262(x42901,x42902),f335(f335(f117(f934(x42901,a922)),x42903),x42905)),x42904)) % 209.33/209.63 [4349]E(f335(f335(f117(f934(x43491,a922)),f335(f335(f44(x43492,f934(x43491,a922)),x43493),x43494)),f335(f335(f44(x43492,f934(x43491,a922)),x43495),x43494)),f335(f335(f44(x43492,f934(x43491,a922)),f335(f335(f117(f934(x43492,a922)),x43493),x43495)),x43494)) % 209.33/209.63 [4350]E(f335(f335(f108(f934(x43501,a922)),f335(f335(f45(x43502,f934(x43501,a922)),x43503),x43504)),f335(f335(f45(x43502,f934(x43501,a922)),x43505),x43504)),f335(f335(f45(x43502,f934(x43501,a922)),f335(f335(f117(f934(x43502,a922)),x43503),x43505)),x43504)) % 209.33/209.63 [4364]E(f335(f335(f44(x43641,f934(x43642,a922)),x43643),f335(f335(f8(f934(x43642,a922),f934(x43642,a922),x43641),f335(f23(f934(x43642,a922)),x43644)),x43645)),f335(f335(f23(f934(x43642,a922)),x43644),f335(f335(f45(x43641,f934(x43642,a922)),x43643),x43645))) % 209.33/209.63 [4365]E(f335(f335(f44(x43651,f934(x43652,a922)),x43653),f335(f335(f8(f934(x43652,a922),f934(x43652,a922),x43651),f335(f108(f934(x43652,a922)),x43654)),x43655)),f335(f335(f108(f934(x43652,a922)),x43654),f335(f335(f44(x43651,f934(x43652,a922)),x43653),x43655))) % 209.33/209.63 [4366]E(f335(f335(f45(x43661,f934(x43662,a922)),x43663),f335(f335(f8(f934(x43662,a922),f934(x43662,a922),x43661),f335(f117(f934(x43662,a922)),x43664)),x43665)),f335(f335(f117(f934(x43662,a922)),x43664),f335(f335(f45(x43661,f934(x43662,a922)),x43663),x43665))) % 209.33/209.63 [4422]E(f192(f928(x44221),f335(f335(f158(x44221),x44222),x44223),f335(f335(f8(f928(x44221),f928(x44221),a927),f335(f158(x44221),x44224)),f335(f335(f7(a927,x44221,f928(x44221)),f166(x44221,x44223)),x44222)),x44225),f335(f335(f166(x44221,f335(f335(f158(x44221),x44224),x44223)),x44225),x44222)) % 209.33/209.63 [4426]E(f335(f335(f44(x44261,f934(f933(x44262,x44263),a922)),x44264),f335(f335(f8(f934(f933(x44263,x44262),a922),f934(f933(x44262,x44263),a922),x44261),f294(x44263,x44262)),x44265)),f335(f294(x44263,x44262),f335(f335(f44(x44261,f934(f933(x44263,x44262),a922)),x44264),x44265))) % 209.33/209.63 [4427]E(f335(f335(f45(x44271,f934(f933(x44272,x44273),a922)),x44274),f335(f335(f8(f934(f933(x44273,x44272),a922),f934(f933(x44272,x44273),a922),x44271),f294(x44273,x44272)),x44275)),f335(f294(x44273,x44272),f335(f335(f45(x44271,f934(f933(x44273,x44272),a922)),x44274),x44275))) % 209.33/209.63 [4528]P106(f335(f335(f243(f934(x45281,a922)),f335(f335(f23(f934(x45281,a922)),f335(f318(x45282,x45281,x45283),x45284)),f335(f318(x45282,x45281,x45283),x45285))),f335(f318(x45282,x45281,x45283),f335(f335(f23(f934(x45282,a922)),x45284),x45285)))) % 209.33/209.63 [4675]E(f335(f163(f928(f933(x46751,x46752)),x46751,f120(f933(x46751,x46752)),f335(f335(f7(x46751,f934(f928(x46751),f928(f933(x46751,x46752))),f934(f928(x46751),f928(f933(x46751,x46752)))),f335(f335(f8(f934(f928(f933(x46751,x46752)),f928(f933(x46751,x46752))),f934(f934(f928(x46751),f928(f933(x46751,x46752))),f934(f928(x46751),f928(f933(x46751,x46752)))),x46751),f8(f928(f933(x46751,x46752)),f928(f933(x46751,x46752)),f928(x46751))),f335(f335(f8(f933(x46751,x46752),f934(f928(f933(x46751,x46752)),f928(f933(x46751,x46752))),x46751),f158(f933(x46751,x46752))),f335(f335(f7(x46751,x46752,f933(x46751,x46752)),f260(x46751,x46752)),x46753)))),f335(f335(f7(f928(x46751),f928(x46752),f928(f933(x46751,x46752))),f188(x46751,x46752)),x46754))),x46755),f335(f335(f188(x46751,x46752),x46755),f335(f335(f158(x46752),x46753),x46754))) % 209.33/209.63 [4391]E(f335(f335(f117(f934(x43911,a922)),f335(f293(x43912,x43911,x43913),x43914)),f335(f293(x43912,x43911,x43915),x43914)),f335(f293(x43912,x43911,f335(f335(f117(f934(f933(x43912,x43911),a922)),x43913),x43915)),x43914)) % 209.33/209.63 [4428]E(f335(f335(f141(f933(x44281,x44282)),f335(f335(f188(x44281,x44282),x44283),f335(f335(f182(x44282),f335(f196(f928(x44281)),x44283)),x44284))),f335(f335(f188(x44281,x44282),x44285),f335(f335(f145(x44282),f335(f196(f928(x44281)),x44283)),x44284))),f335(f335(f188(x44281,x44282),f335(f335(f141(x44281),x44283),x44285)),x44284)) % 209.33/209.63 [4531]E(f335(f335(f262(x45311,x45312),x45313),f335(f335(f18(x45311,f934(x45312,a922),f934(x45312,a922)),f335(f335(f8(f934(x45312,a922),f934(f934(x45312,a922),f934(x45312,a922)),x45311),f23(f934(x45312,a922))),x45314)),x45315)),f335(f335(f23(f934(f933(x45311,x45312),a922)),f335(f335(f262(x45311,x45312),x45313),x45314)),f335(f335(f262(x45311,x45312),x45313),x45315))) % 209.33/209.63 [4532]E(f335(f335(f262(x45321,x45322),x45323),f335(f335(f18(x45321,f934(x45322,a922),f934(x45322,a922)),f335(f335(f8(f934(x45322,a922),f934(f934(x45322,a922),f934(x45322,a922)),x45321),f108(f934(x45322,a922))),x45324)),x45325)),f335(f335(f108(f934(f933(x45321,x45322),a922)),f335(f335(f262(x45321,x45322),x45323),x45324)),f335(f335(f262(x45321,x45322),x45323),x45325))) % 209.33/209.63 [4533]E(f335(f335(f262(x45331,x45332),x45333),f335(f335(f18(x45331,f934(x45332,a922),f934(x45332,a922)),f335(f335(f8(f934(x45332,a922),f934(f934(x45332,a922),f934(x45332,a922)),x45331),f117(f934(x45332,a922))),x45334)),x45335)),f335(f335(f117(f934(f933(x45331,x45332),a922)),f335(f335(f262(x45331,x45332),x45333),x45334)),f335(f335(f262(x45331,x45332),x45333),x45335))) % 209.33/209.63 [4537]E(f335(f335(f44(x45371,f934(x45372,a922)),x45373),f335(f335(f7(x45371,f934(x45372,a922),f934(x45372,a922)),f335(f335(f8(f934(x45372,a922),f934(f934(x45372,a922),f934(x45372,a922)),x45371),f23(f934(x45372,a922))),x45374)),x45375)),f335(f335(f23(f934(x45372,a922)),f335(f335(f44(x45371,f934(x45372,a922)),x45373),x45374)),x45375)) % 209.33/209.63 [4538]E(f335(f335(f44(x45381,f934(x45382,a922)),x45383),f335(f335(f7(x45381,f934(x45382,a922),f934(x45382,a922)),f335(f335(f8(f934(x45382,a922),f934(f934(x45382,a922),f934(x45382,a922)),x45381),f108(f934(x45382,a922))),x45384)),x45385)),f335(f335(f108(f934(x45382,a922)),f335(f335(f44(x45381,f934(x45382,a922)),x45383),x45384)),x45385)) % 209.33/209.63 [4539]E(f335(f335(f45(x45391,f934(x45392,a922)),x45393),f335(f335(f7(x45391,f934(x45392,a922),f934(x45392,a922)),f335(f335(f8(f934(x45392,a922),f934(f934(x45392,a922),f934(x45392,a922)),x45391),f117(f934(x45392,a922))),x45394)),x45395)),f335(f335(f117(f934(x45392,a922)),f335(f335(f45(x45391,f934(x45392,a922)),x45393),x45394)),x45395)) % 209.33/209.63 [4543]E(f335(f335(f44(x45431,f934(x45432,a922)),x45433),f335(f335(f18(x45431,f934(x45432,a922),f934(x45432,a922)),f335(f335(f8(f934(x45432,a922),f934(f934(x45432,a922),f934(x45432,a922)),x45431),f117(f934(x45432,a922))),x45434)),x45435)),f335(f335(f117(f934(x45432,a922)),f335(f335(f44(x45431,f934(x45432,a922)),x45433),x45434)),f335(f335(f44(x45431,f934(x45432,a922)),x45433),x45435))) % 209.33/209.63 [4544]E(f335(f335(f45(x45441,f934(x45442,a922)),x45443),f335(f335(f18(x45441,f934(x45442,a922),f934(x45442,a922)),f335(f335(f8(f934(x45442,a922),f934(f934(x45442,a922),f934(x45442,a922)),x45441),f108(f934(x45442,a922))),x45444)),x45445)),f335(f335(f108(f934(x45442,a922)),f335(f335(f45(x45441,f934(x45442,a922)),x45443),x45444)),f335(f335(f45(x45441,f934(x45442,a922)),x45443),x45445))) % 209.33/209.63 [4557]E(f335(f335(f44(x45571,f934(x45572,a922)),x45573),f335(f335(f18(x45571,f934(x45572,a922),f934(x45572,a922)),f335(f335(f8(f934(x45572,a922),f934(f934(x45572,a922),f934(x45572,a922)),x45571),f117(f934(x45572,a922))),x45574)),x45575)),f335(f335(f117(f934(x45572,a922)),f42(f934(x45572,a922),f335(f318(x45571,f934(x45572,a922),x45574),x45573))),f42(f934(x45572,a922),f335(f318(x45571,f934(x45572,a922),x45575),x45573)))) % 209.33/209.63 [4558]E(f335(f335(f45(x45581,f934(x45582,a922)),x45583),f335(f335(f18(x45581,f934(x45582,a922),f934(x45582,a922)),f335(f335(f8(f934(x45582,a922),f934(f934(x45582,a922),f934(x45582,a922)),x45581),f108(f934(x45582,a922))),x45584)),x45585)),f335(f335(f108(f934(x45582,a922)),f43(f934(x45582,a922),f335(f318(x45581,f934(x45582,a922),x45584),x45583))),f43(f934(x45582,a922),f335(f318(x45581,f934(x45582,a922),x45585),x45583)))) % 209.33/209.63 [4594]E(f335(f335(f145(x45941),f335(f196(f928(x45941)),f184(x45941,x45942,f335(f335(f161(x45943,x45941),x45944),x45945)))),f335(f335(f161(x45943,x45941),x45944),x45945)),f335(f335(f161(x45943,x45941),x45944),f335(f335(f145(x45943),f335(f196(f928(x45943)),f184(x45943,f335(f78(x45941,a922,x45943,x45942),x45944),x45945))),x45945))) % 209.33/209.63 [4470]E(f335(f335(f141(f933(x44701,x44702)),f335(f335(f188(x44701,x44702),f335(f335(f182(x44701),f335(f196(f928(x44702)),x44703)),x44704)),x44703)),f335(f335(f188(x44701,x44702),f335(f335(f145(x44701),f335(f196(f928(x44702)),x44703)),x44704)),x44705)),f335(f335(f188(x44701,x44702),x44704),f335(f335(f141(x44702),x44703),x44705))) % 209.33/209.63 [4585]E(f91(x45851,f335(f335(f18(x45851,a922,a922),f335(f335(f8(a922,f934(a922,a922),x45851),a333),f335(f335(f7(x45851,f934(x45851,a922),a922),f337(x45851)),x45852))),f335(f335(f7(x45851,x45853,a922),f335(f335(f8(x45853,f934(x45853,a922),x45851),a332),x45854)),x45855))),f335(f83(x45851,x45853,x45852,x45854),x45855)) % 209.33/209.63 [4586]E(f96(x45861,f335(f335(f18(x45861,a922,a922),f335(f335(f8(a922,f934(a922,a922),x45861),a333),f335(f335(f7(x45861,f934(x45861,a922),a922),f337(x45861)),x45862))),f335(f335(f7(x45861,x45863,a922),f335(f335(f8(x45863,f934(x45863,a922),x45861),a332),x45864)),x45865))),f335(f97(x45861,x45863,x45862,x45864),x45865)) % 209.33/209.63 [4634]E(f335(f335(f92(a1,x46341),f335(f110(a1),f335(f335(f86(a1),x46342),a104))),f335(f335(f18(a1,x46341,x46341),f335(f335(f7(a1,x46341,f934(x46341,x46341)),f335(f335(f8(a922,f934(x46341,f934(x46341,x46341)),a1),f103(x46341)),a200)),f192(x46341,x46343,x46344,x46345))),f335(f335(f8(a927,x46341,a1),x46344),f335(f335(f7(a1,a927,a927),f335(f335(f8(a927,f934(a927,a927),a1),f86(a927)),a111)),x46345)))),f192(x46341,x46343,x46344,f335(f335(f86(a927),f335(f110(a927),x46342)),x46345))) % 209.33/209.63 [4669]E(f335(f335(f92(a1,x46691),f335(f110(a1),f335(f335(f86(a1),x46692),a104))),f335(f335(f18(a1,x46691,x46691),f335(f335(f7(a1,x46691,f934(x46691,x46691)),f335(f335(f8(a922,f934(x46691,f934(x46691,x46691)),a1),f103(x46691)),a200)),f335(f191(x46691,x46693,x46694),x46695))),f335(f335(f18(a1,x46691,x46691),f335(f335(f8(a927,f934(x46691,x46691),a1),x46694),f335(f335(f7(a1,a927,a927),f335(f335(f8(a927,f934(a927,a927),a1),f86(a927)),a111)),x46695))),f335(f335(f8(a927,x46691,a1),f191(x46691,x46693,x46694)),f335(f335(f7(a1,a927,a927),f335(f335(f8(a927,f934(a927,a927),a1),f86(a927)),a111)),x46695))))),f335(f191(x46691,x46693,x46694),f335(f335(f86(a927),f335(f110(a927),x46692)),x46695))) % 209.33/209.63 [4704]E(f335(f270(f933(x47041,x47042)),f335(f265(x47041,x47042,a922),f335(f335(f8(f934(x47042,f934(x47043,a922)),f934(x47042,a922),x47041),f335(f8(f934(x47043,a922),a922,x47042),f93(x47043))),f335(f335(f7(x47041,f934(x47042,f934(x47043,a922)),f934(x47042,f934(x47043,a922))),f335(f335(f8(f934(f934(x47043,a922),f934(x47043,a922)),f934(f934(x47042,f934(x47043,a922)),f934(x47042,f934(x47043,a922))),x47041),f8(f934(x47043,a922),f934(x47043,a922),x47042)),f335(f335(f8(f934(x47043,f934(a922,a922)),f934(f934(x47043,a922),f934(x47043,a922)),x47041),f18(x47043,a922,a922)),f335(f335(f8(f934(x47043,a922),f934(x47043,f934(a922,a922)),x47041),f335(f8(a922,f934(a922,a922),x47043),a333)),f335(f335(f7(x47041,f934(f933(x47041,x47043),a922),f934(x47043,a922)),f335(f335(f8(f934(x47043,f934(f934(f933(x47041,x47043),a922),a922)),f934(f934(f933(x47041,x47043),a922),f934(x47043,a922)),x47041),f7(x47043,f934(f933(x47041,x47043),a922),a922)),f335(f335(f8(f934(x47043,f933(x47041,x47043)),f934(x47043,f934(f934(f933(x47041,x47043),a922),a922)),x47041),f335(f8(f933(x47041,x47043),f934(f934(f933(x47041,x47043),a922),a922),x47043),f337(f933(x47041,x47043)))),f260(x47041,x47043)))),x47044))))),f335(f335(f7(x47042,f934(f933(x47043,x47042),a922),f934(x47043,a922)),f335(f335(f8(f934(x47043,f934(f934(f933(x47043,x47042),a922),a922)),f934(f934(f933(x47043,x47042),a922),f934(x47043,a922)),x47042),f7(x47043,f934(f933(x47043,x47042),a922),a922)),f335(f335(f8(f934(x47043,f933(x47043,x47042)),f934(x47043,f934(f934(f933(x47043,x47042),a922),a922)),x47042),f335(f8(f933(x47043,x47042),f934(f934(f933(x47043,x47042),a922),a922),x47043),f337(f933(x47043,x47042)))),f335(f7(x47043,x47042,f933(x47043,x47042)),f260(x47043,x47042))))),x47045))))),f335(f335(f297(x47041,x47043,x47042),x47044),x47045)) % 209.33/209.63 [4780]~E(f28(x47801,x47802,x47803),f29(x47804,x47805,x47806)) % 209.33/209.63 [4318]E(f233(x43181,x43182,x43183,x43184,f229(x43181,x43182,x43185,x43186)),f335(f335(x43184,x43185),x43186)) % 209.33/209.63 [4319]E(f234(x43191,x43192,x43193,x43194,f229(x43191,x43192,x43195,x43196)),f335(f335(x43194,x43195),x43196)) % 209.33/209.63 [4446]E(f134(x44461,x44462,x44463,x44464,f133(x44462,x44465,x44466)),f335(f335(f335(x44464,x44465),x44466),f134(x44461,x44462,x44463,x44464,x44466))) % 209.33/209.63 [4465]E(f80(x44651,x44652,f80(x44651,x44652,x44653,x44654,x44655),x44654,x44656),f80(x44651,x44652,x44653,x44654,x44656)) % 209.33/209.63 [4573]E(f335(f78(f933(x45731,x45732),x45732,f933(x45733,x45734),f264(x45731,x45732)),f266(x45733,x45731,x45734,x45732,x45735,x45736)),f335(f78(x45734,x45732,f933(x45733,x45734),x45736),f264(x45733,x45734))) % 209.33/209.63 [4574]E(f335(f78(f933(x45741,x45742),x45741,f933(x45743,x45744),f259(x45741,x45742)),f266(x45743,x45741,x45744,x45742,x45745,x45746)),f335(f78(x45743,x45741,f933(x45743,x45744),x45745),f259(x45743,x45744))) % 209.33/209.63 [4136]E(f101(x41361,x41362,x41363,f98(x41361,x41364,x41365,x41366)),f335(f335(f335(x41363,x41364),x41365),x41366)) % 209.33/209.63 [4137]E(f102(x41371,x41372,x41373,f98(x41371,x41374,x41375,x41376)),f335(f335(f335(x41373,x41374),x41375),x41376)) % 209.33/209.63 [4189]E(f335(f335(f78(x41891,x41892,x41893,x41894),x41895),x41896),f335(x41894,f335(x41895,x41896))) % 209.33/209.63 [4328]E(f232(x43281,f933(x43282,f929(x43282)),x43283,f335(f265(x43282,f929(x43282),x43281),x43284),f335(f142(x43282),f133(x43282,x43285,x43286))),f335(f335(x43284,x43285),x43286)) % 209.33/209.63 [4378]E(f235(x43781,x43782,x43783,x43784,f229(x43781,x43782,x43785,x43786)),f335(f335(f86(a927),f335(f335(f86(a927),f335(x43783,x43785)),f335(x43784,x43786))),f335(a119,f2(a927)))) % 209.33/209.63 [3985]E(f335(f335(f265(x39851,x39852,x39853),x39854),f335(f335(f260(x39851,x39852),x39855),x39856)),f335(f335(x39854,x39855),x39856)) % 209.33/209.63 [4047]E(f335(f335(f335(f8(x40471,x40472,x40473),x40474),x40475),x40476),f335(x40474,f335(x40475,x40476))) % 209.33/209.63 [4048]E(f335(f335(f335(f7(x40481,x40482,x40483),x40484),x40485),x40486),f335(f335(x40484,x40486),x40485)) % 209.33/209.63 [4064]E(f335(f335(f335(f18(x40641,x40642,x40643),x40644),x40645),x40646),f335(f335(x40644,x40646),f335(x40645,x40646))) % 209.33/209.63 [4087]E(f335(f163(x40871,x40872,x40873,x40874),f335(f335(f158(x40872),x40875),x40876)),f335(f335(x40874,x40875),x40876)) % 209.33/209.63 [4125]E(f176(f933(x41251,x41252),f335(f335(f241(a927),x41253),x41254),f335(f335(f260(x41251,x41252),x41255),x41256)),f335(f335(f188(x41251,x41252),f176(x41251,x41253,x41255)),f176(x41252,x41254,x41256))) % 209.33/209.63 [4193]E(f335(f335(f158(f933(x41931,x41932)),f335(f335(f260(x41931,x41932),x41933),x41934)),f335(f335(f188(x41931,x41932),x41935),x41936)),f335(f335(f188(x41931,x41932),f335(f335(f158(x41931),x41933),x41935)),f335(f335(f158(x41932),x41934),x41936))) % 209.33/209.63 [4194]E(f335(f335(f161(x41941,x41942),x41943),f335(f335(f166(x41941,x41944),x41945),x41946)),f335(f335(f166(x41942,f335(f335(f161(x41941,x41942),x41943),x41944)),x41945),f335(x41943,x41946))) % 209.33/209.63 [4218]E(f335(f335(f263(x42181,x42182,x42183,x42184),x42185),x42186),f335(x42184,f335(f335(f260(x42181,x42182),x42185),x42186))) % 209.33/209.63 [4235]E(f335(f149(x42351,x42352,x42353,x42354),f335(f335(f158(x42352),x42355),x42356)),f335(f149(x42351,x42352,x42353,f335(f335(x42353,x42354),x42355)),x42356)) % 209.33/209.63 [4261]E(f268(x42611,x42612,x42613,x42614,f335(f335(f260(x42611,x42612),x42615),x42616)),f335(f335(x42614,x42615),x42616)) % 209.33/209.63 [4342]E(f335(f335(f44(x43421,f934(x43422,a922)),x43423),f335(f78(x43424,f934(x43422,a922),x43421,x43425),x43426)),f335(f335(f44(x43424,f934(x43422,a922)),f335(f318(x43421,x43424,x43426),x43423)),x43425)) % 209.33/209.63 [4394]E(f335(f335(f161(x43941,x43942),x43943),f335(f335(f161(x43944,x43941),x43945),x43946)),f335(f335(f161(x43944,x43942),f335(f78(x43941,x43942,x43944,x43943),x43945)),x43946)) % 209.33/209.63 [4400]E(f335(f318(x44001,x44002,f335(f78(x44003,x44002,x44001,x44004),x44005)),x44006),f335(f318(x44003,x44002,x44004),f335(f318(x44001,x44003,x44005),x44006))) % 209.33/209.63 [4401]E(f335(f319(x44011,x44012,f335(f78(x44013,x44012,x44011,x44014),x44015)),x44016),f335(f319(x44011,x44013,x44015),f335(f319(x44013,x44012,x44014),x44016))) % 209.33/209.63 [4429]E(f335(f149(x44291,x44292,x44293,f335(f149(x44291,x44292,x44293,x44294),x44295)),x44296),f335(f149(x44291,x44292,x44293,x44294),f335(f335(f141(x44292),x44295),x44296))) % 209.33/209.63 [4563]E(f335(f266(x45631,x45631,x45632,x45633,f25(x45631),x45634),f335(f335(f260(x45631,x45632),x45635),x45636)),f335(f335(f260(x45631,x45633),x45635),f335(x45634,x45636))) % 209.33/209.63 [4564]E(f335(f266(x45641,x45642,x45643,x45643,x45644,f25(x45643)),f335(f335(f260(x45641,x45643),x45645),x45646)),f335(f335(f260(x45642,x45643),f335(x45644,x45645)),x45646)) % 209.33/209.63 [4652]E(f335(f335(f161(f933(x46521,x46522),f933(x46521,x46523)),f335(f265(x46521,x46522,f933(x46521,x46523)),f335(f335(f7(x46521,f934(x46522,x46523),f934(x46522,f933(x46521,x46523))),f335(f335(f8(f934(x46523,f933(x46521,x46523)),f934(f934(x46522,x46523),f934(x46522,f933(x46521,x46523))),x46521),f8(x46523,f933(x46521,x46523),x46522)),f260(x46521,x46523))),x46524))),f335(f335(f188(x46521,x46522),x46525),x46526)),f335(f335(f188(x46521,x46523),x46525),f335(f335(f161(x46522,x46523),x46524),x46526))) % 209.33/209.63 [4245]E(f335(f335(f78(x42451,x42452,x42453,f335(f16(x42452,x42451),x42454)),x42455),x42456),x42454) % 209.33/209.63 [4277]E(f335(f318(x42771,x42772,x42773),f335(f318(x42774,x42771,x42775),x42776)),f335(f318(x42774,x42772,f335(f335(f8(x42771,x42772,x42774),x42773),x42775)),x42776)) % 209.33/209.63 [4283]E(f335(f335(f44(x42831,f934(x42832,a922)),f335(f318(x42833,x42831,x42834),x42835)),x42836),f335(f335(f44(x42833,f934(x42832,a922)),x42835),f335(f335(f8(x42831,f934(x42832,a922),x42833),x42836),x42834))) % 209.33/209.63 [4284]E(f335(f335(f45(x42841,f934(x42842,a922)),f335(f318(x42843,x42841,x42844),x42845)),x42846),f335(f335(f45(x42843,f934(x42842,a922)),x42845),f335(f335(f8(x42841,f934(x42842,a922),x42843),x42846),x42844))) % 209.33/209.63 [4285]E(f335(f335(f44(x42851,f934(x42852,a922)),x42853),f335(f335(f8(x42854,f934(x42852,a922),x42851),x42855),x42856)),f335(f335(f44(x42854,f934(x42852,a922)),f335(f318(x42851,x42854,x42856),x42853)),x42855)) % 209.33/209.63 [4286]E(f335(f335(f45(x42861,f934(x42862,a922)),x42863),f335(f335(f8(x42864,f934(x42862,a922),x42861),x42865),x42866)),f335(f335(f45(x42864,f934(x42862,a922)),f335(f318(x42861,x42864,x42866),x42863)),x42865)) % 209.33/209.63 [4344]E(f335(f335(f44(x43441,f934(x43442,a922)),x43443),f335(f335(f8(f934(x43444,a922),f934(x43442,a922),x43441),f318(x43444,x43442,x43445)),x43446)),f335(f318(x43444,x43442,x43445),f335(f335(f44(x43441,f934(x43444,a922)),x43443),x43446))) % 209.33/209.63 [4345]E(f335(f335(f44(x43451,f934(x43452,a922)),x43453),f335(f335(f8(f934(x43454,a922),f934(x43452,a922),x43451),f319(x43452,x43454,x43455)),x43456)),f335(f319(x43452,x43454,x43455),f335(f335(f44(x43451,f934(x43454,a922)),x43453),x43456))) % 209.33/209.63 [4346]E(f335(f335(f45(x43461,f934(x43462,a922)),x43463),f335(f335(f8(f934(x43464,a922),f934(x43462,a922),x43461),f319(x43462,x43464,x43465)),x43466)),f335(f319(x43462,x43464,x43465),f335(f335(f45(x43461,f934(x43464,a922)),x43463),x43466))) % 209.33/209.63 [4347]E(f335(f335(f44(x43471,f934(x43472,a922)),x43473),f335(f335(f8(f934(x43474,a922),f934(x43472,a922),x43471),f293(x43474,x43472,x43475)),x43476)),f335(f293(x43474,x43472,x43475),f335(f335(f44(x43471,f934(x43474,a922)),x43473),x43476))) % 209.33/209.63 [4434]E(f335(f149(x44341,x44342,f335(f7(x44342,x44341,x44341),x44343),x44344),f335(f175(x44342),f335(f335(f158(x44342),x44345),x44346))),f335(f335(x44343,x44345),f335(f149(x44341,x44342,f335(f7(x44342,x44341,x44341),x44343),x44344),f335(f175(x44342),x44346)))) % 209.33/209.63 [4492]E(f335(f335(f18(f933(x44921,x44922),x44922,x44923),f335(f335(f8(x44924,f934(x44922,x44923),f933(x44921,x44922)),x44925),f335(f335(f8(x44921,x44924,f933(x44921,x44922)),x44926),f259(x44921,x44922)))),f264(x44921,x44922)),f335(f265(x44921,x44922,x44923),f335(f335(f8(x44924,f934(x44922,x44923),x44921),x44925),x44926))) % 209.33/209.63 [4499]E(f335(f149(x44991,x44992,f335(f7(x44992,x44991,x44991),x44993),f335(f149(x44991,x44992,f335(f7(x44992,x44991,x44991),x44993),x44994),f335(f175(x44992),x44995))),f335(f175(x44992),x44996)),f335(f149(x44991,x44992,f335(f7(x44992,x44991,x44991),x44993),x44994),f335(f175(x44992),f335(f335(f141(x44992),x44996),x44995)))) % 209.33/209.63 [4501]E(f335(f335(f161(f933(x45011,x45012),f933(x45013,x45012)),f335(f265(x45011,x45012,f933(x45013,x45012)),f335(f335(f8(x45013,f934(x45012,f933(x45013,x45012)),x45011),f260(x45013,x45012)),x45014))),f335(f335(f188(x45011,x45012),x45015),x45016)),f335(f335(f188(x45013,x45012),f335(f335(f161(x45011,x45013),x45014),x45015)),x45016)) % 209.33/209.63 [4546]P106(f335(f335(f243(f934(x45461,a922)),f335(f293(x45462,x45461,x45463),f335(f335(f45(x45464,f934(x45462,a922)),x45465),x45466))),f335(f335(f45(x45464,f934(x45461,a922)),x45465),f335(f335(f8(f934(x45462,a922),f934(x45461,a922),x45464),f293(x45462,x45461,x45463)),x45466)))) % 209.33/209.63 [4357]E(f335(f335(f188(x43571,x43572),f335(f335(f166(x43571,x43573),x43574),f335(f259(x43571,x43572),x43575))),f335(f335(f166(x43572,x43576),x43574),f335(f264(x43571,x43572),x43575))),f335(f335(f166(f933(x43571,x43572),f335(f335(f188(x43571,x43572),x43573),x43576)),x43574),x43575)) % 209.33/209.63 [4417]E(f335(f335(f117(f934(f933(x44171,x44172),a922)),f335(f335(f297(x44171,x44173,x44172),x44174),x44175)),f335(f335(f297(x44171,x44173,x44172),x44174),x44176)),f335(f335(f297(x44171,x44173,x44172),x44174),f335(f335(f117(f934(f933(x44173,x44172),a922)),x44175),x44176))) % 209.33/209.63 [4511]E(f335(f335(f317(f933(x45111,x45112)),f335(f335(f260(x45111,x45112),x45113),x45114)),f335(f335(f117(f934(f933(x45111,x45112),a922)),f335(f335(f262(x45111,x45112),x45115),f335(f16(f934(x45112,a922),x45111),f335(f335(f317(x45112),x45114),x45116)))),f335(f335(f262(x45111,x45112),f335(f335(f317(x45111),x45113),x45115)),f335(f16(f934(x45112,a922),x45111),x45116)))),f335(f335(f262(x45111,x45112),f335(f335(f317(x45111),x45113),x45115)),f335(f16(f934(x45112,a922),x45111),f335(f335(f317(x45112),x45114),x45116)))) % 209.33/209.63 [4590]E(f335(f335(f108(f934(x45901,a922)),f335(f319(x45901,x45902,f335(f78(f933(x45902,x45903),x45902,x45901,f259(x45902,x45903)),x45904)),x45905)),f335(f319(x45901,x45903,f335(f78(f933(x45902,x45903),x45903,x45901,f264(x45902,x45903)),x45904)),x45906)),f335(f319(x45901,f933(x45902,x45903),x45904),f335(f335(f262(x45902,x45903),x45905),f335(f16(f934(x45903,a922),x45902),x45906)))) % 209.33/209.63 [4440]E(f335(f335(f117(f934(f933(x44401,x44402),a922)),f335(f335(f297(x44401,x44403,x44402),x44404),x44405)),f335(f335(f297(x44401,x44403,x44402),x44406),x44405)),f335(f335(f297(x44401,x44403,x44402),f335(f335(f117(f934(f933(x44401,x44403),a922)),x44404),x44406)),x44405)) % 209.33/209.63 [4571]E(f335(f335(f44(x45711,f934(x45712,a922)),x45713),f335(f335(f7(x45711,f934(x45714,f934(x45712,a922)),f934(x45712,a922)),f335(f335(f8(f934(x45714,a922),f934(f934(x45714,f934(x45712,a922)),f934(x45712,a922)),x45711),f44(x45714,f934(x45712,a922))),x45715)),x45716)),f335(f335(f44(x45714,f934(x45712,a922)),f335(f335(f44(x45711,f934(x45714,a922)),x45713),x45715)),x45716)) % 209.33/209.63 [4572]E(f335(f335(f45(x45721,f934(x45722,a922)),x45723),f335(f335(f7(x45721,f934(x45724,f934(x45722,a922)),f934(x45722,a922)),f335(f335(f8(f934(x45724,a922),f934(f934(x45724,f934(x45722,a922)),f934(x45722,a922)),x45721),f45(x45724,f934(x45722,a922))),x45725)),x45726)),f335(f335(f45(x45724,f934(x45722,a922)),f335(f335(f44(x45721,f934(x45724,a922)),x45723),x45725)),x45726)) % 209.33/209.63 [4624]E(f335(f265(x46241,x46242,f933(x46243,x46244)),f335(f335(f7(x46241,f934(x46242,x46244),f934(x46242,f933(x46243,x46244))),f335(f335(f8(f934(x46244,f933(x46243,x46244)),f934(f934(x46242,x46244),f934(x46242,f933(x46243,x46244))),x46241),f8(x46244,f933(x46243,x46244),x46242)),f335(f335(f8(x46243,f934(x46244,f933(x46243,x46244)),x46241),f260(x46243,x46244)),x46245))),x46246)),f266(x46241,x46243,x46242,x46244,x46245,x46246)) % 209.33/209.63 [4647]E(f335(f318(x46471,x46472,f335(f335(f18(x46471,x46472,x46472),f335(f335(f18(x46471,x46472,f934(x46472,x46472)),f335(f335(f8(a922,f934(x46472,f934(x46472,x46472)),x46471),f103(x46472)),x46473)),x46474)),x46475)),x46476),f335(f335(f117(f934(x46472,a922)),f335(f318(x46471,x46472,x46474),f335(f335(f108(f934(x46471,a922)),x46476),f335(f270(x46471),x46473)))),f335(f318(x46471,x46472,x46475),f335(f335(f108(f934(x46471,a922)),x46476),f335(f270(x46471),f335(f335(f8(a922,a922,x46471),a330),x46473)))))) % 209.33/209.63 [4659]E(f335(f318(x46591,f933(x46592,x46593),f335(f335(f18(x46591,x46593,f933(x46592,x46593)),f335(f335(f8(x46592,f934(x46593,f933(x46592,x46593)),x46591),f260(x46592,x46593)),x46594)),x46595)),x46596),f335(f335(f262(x46592,x46593),f335(f318(x46591,x46592,x46594),x46596)),f335(f335(f8(f934(x46591,a922),f934(x46593,a922),x46592),f318(x46591,x46593,x46595)),f335(f335(f7(x46592,f934(x46591,a922),f934(x46591,a922)),f335(f335(f8(f934(x46591,a922),f934(f934(x46591,a922),f934(x46591,a922)),x46592),f108(f934(x46591,a922))),f335(f335(f8(f934(x46592,a922),f934(x46591,a922),x46592),f319(x46591,x46592,x46594)),f335(f335(f7(x46592,f934(x46592,a922),f934(x46592,a922)),f317(x46592)),f195(f934(x46592,a922)))))),x46596)))) % 209.33/209.63 [4686]E(f254(x46861,x46862,x46863,x46864,x46865,x46866),f335(x46864,f335(f270(x46861),f335(f335(f8(f934(f934(x46863,x46861),a922),a922,x46861),f93(f934(x46863,x46861))),f335(f335(f8(f934(f934(x46863,x46861),a922),f934(f934(x46863,x46861),a922),x46861),f335(f18(f934(x46863,x46861),a922,a922),f335(f335(f8(a922,f934(a922,a922),f934(x46863,x46861)),a333),f335(f335(f7(f934(x46863,x46861),f934(f934(x46863,x46861),a922),a922),f337(f934(x46863,x46861))),x46865)))),f335(f335(f7(x46861,f934(f934(x46863,x46861),x46861),f934(f934(x46863,x46861),a922)),f335(f335(f8(f934(x46861,a922),f934(f934(f934(x46863,x46861),x46861),f934(f934(x46863,x46861),a922)),x46861),f8(x46861,a922,f934(x46863,x46861))),a332)),f335(f335(f7(f934(x46863,x46861),x46863,x46861),f5(f934(x46863,x46861))),x46866))))))) % 209.33/209.63 [4473]E(f335(f78(x44731,x44732,x44733,x44734),f80(x44733,x44731,x44735,x44736,x44737)),f80(x44733,x44732,f335(f78(x44731,x44732,x44733,x44734),x44735),x44736,f335(x44734,x44737))) % 209.33/209.63 [4607]E(f335(f264(x46071,x46072),f335(f266(x46073,x46071,x46074,x46072,x46075,x46076),x46077)),f335(x46076,f335(f264(x46073,x46074),x46077))) % 209.33/209.63 [4608]E(f335(f259(x46081,x46082),f335(f266(x46083,x46081,x46084,x46082,x46085,x46086),x46087)),f335(x46085,f335(f259(x46083,x46084),x46087))) % 209.33/209.63 [4320]E(f335(f335(f188(x43201,x43202),f335(f335(f166(x43201,x43203),x43204),x43205)),f335(f335(f166(x43202,x43206),x43204),x43207)),f335(f335(f166(f933(x43201,x43202),f335(f335(f188(x43201,x43202),x43203),x43206)),x43204),f335(f335(f260(x43201,x43202),x43205),x43207))) % 209.33/209.63 [4389]E(f335(f335(f335(f267(x43891,x43892,x43893,x43894),x43895),x43896),x43897),f335(f335(f265(x43892,x43893,x43894),x43896),f335(x43895,x43897))) % 209.33/209.63 [4399]E(f335(f335(f335(f267(x43991,x43992,x43993,x43994),x43995),x43996),x43997),f335(f335(x43996,f335(f259(x43992,x43993),f335(x43995,x43997))),f335(f264(x43992,x43993),f335(x43995,x43997)))) % 209.33/209.63 [4451]E(f335(f78(x44511,x44512,x44513,x44514),f335(f78(x44515,x44511,x44513,x44516),x44517)),f335(f78(x44515,x44512,x44513,f335(f78(x44511,x44512,x44515,x44514),x44516)),x44517)) % 209.33/209.63 [4628]E(f335(f266(x46281,x46282,x46283,x46283,x46284,f25(x46283)),f335(f266(x46281,x46281,x46285,x46283,f25(x46281),x46286),x46287)),f335(f335(f260(x46282,x46283),f335(x46284,f335(f259(x46281,x46285),x46287))),f335(x46286,f335(f264(x46281,x46285),x46287)))) % 209.33/209.63 [4629]E(f335(f266(x46291,x46291,x46292,x46293,f25(x46291),x46294),f335(f266(x46295,x46291,x46292,x46292,x46296,f25(x46292)),x46297)),f335(f335(f260(x46291,x46293),f335(x46296,f335(f259(x46295,x46292),x46297))),f335(x46294,f335(f264(x46295,x46292),x46297)))) % 209.33/209.63 [4645]E(f335(f266(x46451,x46452,x46453,x46453,x46454,f25(x46453)),f335(f266(x46455,x46451,x46453,x46453,x46456,f25(x46453)),x46457)),f335(f266(x46455,x46452,x46453,x46453,f335(f78(x46451,x46452,x46455,x46454),x46456),f25(x46453)),x46457)) % 209.33/209.63 [4646]E(f335(f266(x46461,x46461,x46462,x46463,f25(x46461),x46464),f335(f266(x46461,x46461,x46465,x46462,f25(x46461),x46466),x46467)),f335(f266(x46461,x46461,x46465,x46463,f25(x46461),f335(f78(x46462,x46463,x46465,x46464),x46466)),x46467)) % 209.33/209.63 [4656]E(f335(f266(x46561,x46562,x46563,x46563,x46564,f25(x46563)),f335(f266(x46561,x46561,x46565,x46563,f25(x46561),x46566),x46567)),f335(f266(x46562,x46562,x46565,x46563,f25(x46562),x46566),f335(f266(x46561,x46562,x46565,x46565,x46564,f25(x46565)),x46567))) % 209.33/209.63 [4354]E(f335(f335(f297(x43541,x43542,x43543),f335(f335(f297(x43541,x43544,x43542),x43545),x43546)),x43547),f335(f335(f297(x43541,x43544,x43543),x43545),f335(f335(f297(x43544,x43542,x43543),x43546),x43547))) % 209.33/209.63 [4423]E(f335(f335(f265(x44231,x44232,x44233),f335(f78(x44234,f934(x44232,x44233),x44231,x44235),x44236)),x44237),f335(f335(x44235,f335(x44236,f335(f259(x44231,x44232),x44237))),f335(f264(x44231,x44232),x44237))) % 209.33/209.63 [4504]E(f335(f149(x45041,x45042,f335(f7(x45042,x45041,x45041),x45043),x45044),f335(f175(x45042),f335(f335(f161(x45045,x45042),x45046),x45047))),f335(f149(x45041,x45045,f335(f7(x45045,x45041,x45041),f335(f78(x45042,f934(x45041,x45041),x45045,x45043),x45046)),x45044),f335(f175(x45045),x45047))) % 209.33/209.63 [4452]E(f335(f335(f44(x44521,f934(f933(x44522,x44523),a922)),x44524),f335(f335(f8(f934(f933(x44525,x44523),a922),f934(f933(x44522,x44523),a922),x44521),f335(f297(x44522,x44525,x44523),x44526)),x44527)),f335(f335(f297(x44522,x44525,x44523),x44526),f335(f335(f44(x44521,f934(f933(x44525,x44523),a922)),x44524),x44527))) % 209.33/209.63 [4595]E(f335(f335(f44(x45951,f934(f933(x45952,x45953),a922)),x45954),f335(f335(f7(x45951,f934(f933(x45955,x45953),a922),f934(f933(x45952,x45953),a922)),f335(f335(f8(f934(f933(x45952,x45955),a922),f934(f934(f933(x45955,x45953),a922),f934(f933(x45952,x45953),a922)),x45951),f297(x45952,x45955,x45953)),x45956)),x45957)),f335(f335(f297(x45952,x45955,x45953),f335(f335(f44(x45951,f934(f933(x45952,x45955),a922)),x45954),x45956)),x45957)) % 209.33/209.63 [4596]E(f335(f149(x45961,x45962,f335(f335(f7(x45961,f934(x45962,x45963),f934(x45962,x45961)),f335(f335(f8(f934(x45963,x45961),f934(f934(x45962,x45963),f934(x45962,x45961)),x45961),f8(x45963,x45961,x45962)),x45964)),x45965),x45966),x45967),f335(f149(x45961,x45963,x45964,x45966),f335(f335(f161(x45962,x45963),x45965),x45967))) % 209.33/209.63 [4657]E(f335(f335(f44(x46571,f934(x46572,a922)),x46573),f335(f335(f8(f934(x46574,f934(x46572,a922)),f934(x46572,a922),x46571),f335(f44(x46574,f934(x46572,a922)),x46575)),f335(f335(f7(x46571,f934(x46574,f934(x46572,a922)),f934(x46574,f934(x46572,a922))),f335(f335(f8(f934(f934(x46572,a922),f934(x46572,a922)),f934(f934(x46574,f934(x46572,a922)),f934(x46574,f934(x46572,a922))),x46571),f8(f934(x46572,a922),f934(x46572,a922),x46574)),f335(f335(f8(f934(x46572,a922),f934(f934(x46572,a922),f934(x46572,a922)),x46571),f108(f934(x46572,a922))),x46576))),x46577))),f335(f335(f108(f934(x46572,a922)),f335(f335(f44(x46571,f934(x46572,a922)),x46573),x46576)),f335(f335(f44(x46574,f934(x46572,a922)),x46575),x46577))) % 209.33/209.63 [4658]E(f335(f335(f45(x46581,f934(x46582,a922)),x46583),f335(f335(f8(f934(x46584,f934(x46582,a922)),f934(x46582,a922),x46581),f335(f45(x46584,f934(x46582,a922)),x46585)),f335(f335(f7(x46581,f934(x46584,f934(x46582,a922)),f934(x46584,f934(x46582,a922))),f335(f335(f8(f934(f934(x46582,a922),f934(x46582,a922)),f934(f934(x46584,f934(x46582,a922)),f934(x46584,f934(x46582,a922))),x46581),f8(f934(x46582,a922),f934(x46582,a922),x46584)),f335(f335(f8(f934(x46582,a922),f934(f934(x46582,a922),f934(x46582,a922)),x46581),f117(f934(x46582,a922))),x46586))),x46587))),f335(f335(f117(f934(x46582,a922)),f335(f335(f45(x46581,f934(x46582,a922)),x46583),x46586)),f335(f335(f45(x46584,f934(x46582,a922)),x46585),x46587))) % 209.33/209.63 [4650]E(f206(x46501,x46502,f335(f335(f335(x46503,x46504),x46505),x46506),f335(f335(f7(x46501,f933(a106,a106),f934(a106,f929(x46502))),f335(f335(f7(x46501,a106,f934(f933(a106,a106),f934(a106,f929(x46502)))),f335(f335(f7(x46501,a106,f934(a106,f934(f933(a106,a106),f934(a106,f929(x46502))))),x46507),x46504)),x46505)),x46506)),f335(f335(f335(f218(x46501,x46502,x46503,x46507),x46504),x46505),x46506)) % 209.33/209.63 [4664]E(f207(x46641,x46642,f335(f335(f335(x46643,x46644),x46645),x46646),f335(f335(f7(x46641,f933(a106,a106),f934(a106,f929(x46642))),f335(f335(f7(x46641,a106,f934(f933(a106,a106),f934(a106,f929(x46642)))),f335(f335(f7(x46641,a106,f934(a106,f934(f933(a106,a106),f934(a106,f929(x46642))))),x46647),x46644)),x46645)),x46646)),f220(x46641,x46642,x46643,x46647,x46644,x46645,x46646)) % 209.33/209.63 [4655]E(f202(x46551,x46552,f335(f335(f335(x46553,x46554),x46555),x46556),f335(f335(f7(x46551,f933(a106,a106),f934(a106,f929(f931(x46552)))),f335(f335(f7(x46551,a106,f934(f933(a106,a106),f934(a106,f929(f931(x46552))))),f335(f335(f7(x46551,a106,f934(a106,f934(f933(a106,a106),f934(a106,f929(f931(x46552)))))),x46557),x46554)),x46555)),x46556)),f335(f335(f335(f215(x46551,x46552,x46553,x46557),x46554),x46555),x46556)) % 209.33/209.63 [4666]E(f205(x46661,x46662,f335(f335(f335(x46663,x46664),x46665),x46666),f335(f335(f7(x46661,f933(a106,a106),f934(a106,f929(f931(x46662)))),f335(f335(f7(x46661,a106,f934(f933(a106,a106),f934(a106,f929(f931(x46662))))),f335(f335(f7(x46661,a106,f934(a106,f934(f933(a106,a106),f934(a106,f929(f931(x46662)))))),x46667),x46664)),x46665)),x46666)),f217(x46661,x46662,x46663,x46667,x46664,x46665,x46666)) % 209.33/209.63 [4565]E(f335(f266(x45651,x45652,x45653,x45654,x45655,x45656),f335(f335(f260(x45651,x45653),x45657),x45658)),f335(f335(f260(x45652,x45654),f335(x45655,x45657)),f335(x45656,x45658))) % 209.33/209.63 [4668]E(f335(f335(f161(f933(x46681,x46682),f933(x46683,x46684)),f335(f265(x46681,x46682,f933(x46683,x46684)),f335(f335(f7(x46681,f934(x46682,x46684),f934(x46682,f933(x46683,x46684))),f335(f335(f8(f934(x46684,f933(x46683,x46684)),f934(f934(x46682,x46684),f934(x46682,f933(x46683,x46684))),x46681),f8(x46684,f933(x46683,x46684),x46682)),f335(f335(f8(x46683,f934(x46684,f933(x46683,x46684)),x46681),f260(x46683,x46684)),x46685))),x46686))),f335(f335(f188(x46681,x46682),x46687),x46688)),f335(f335(f188(x46683,x46684),f335(f335(f161(x46681,x46683),x46685),x46687)),f335(f335(f161(x46682,x46684),x46686),x46688))) % 209.33/209.63 [4673]E(f335(f335(f161(f933(x46731,x46732),x46733),f335(f265(x46731,x46732,x46733),f335(f335(f8(f934(x46732,f933(x46731,x46734)),f934(x46732,x46733),x46731),f335(f8(f933(x46731,x46734),x46733,x46732),x46735)),f335(f335(f7(x46731,f934(x46732,x46734),f934(x46732,f933(x46731,x46734))),f335(f335(f8(f934(x46734,f933(x46731,x46734)),f934(f934(x46732,x46734),f934(x46732,f933(x46731,x46734))),x46731),f8(x46734,f933(x46731,x46734),x46732)),f260(x46731,x46734))),x46736)))),f335(f335(f188(x46731,x46732),x46737),x46738)),f335(f335(f161(f933(x46731,x46734),x46733),x46735),f335(f335(f188(x46731,x46734),x46737),f335(f335(f161(x46732,x46734),x46736),x46738)))) % 209.33/209.63 [4599]E(f335(f335(f161(f933(x45991,x45992),x45993),f335(f265(x45991,x45992,x45993),f335(f335(f8(f934(x45992,f933(x45994,x45992)),f934(x45992,x45993),x45991),f335(f8(f933(x45994,x45992),x45993,x45992),x45995)),f335(f335(f8(x45994,f934(x45992,f933(x45994,x45992)),x45991),f260(x45994,x45992)),x45996)))),f335(f335(f188(x45991,x45992),x45997),x45998)),f335(f335(f161(f933(x45994,x45992),x45993),x45995),f335(f335(f188(x45994,x45992),f335(f335(f161(x45991,x45994),x45996),x45997)),x45998))) % 209.33/209.63 [4556]E(f335(f335(f265(x45561,x45562,x45563),f335(f335(f8(f934(x45562,f933(x45564,x45565)),f934(x45562,x45563),x45561),f335(f8(f933(x45564,x45565),x45563,x45562),f335(f265(x45564,x45565,x45563),x45566))),x45567)),x45568),f335(f335(f265(x45564,x45565,x45563),x45566),f335(f335(f265(x45561,x45562,f933(x45564,x45565)),x45567),x45568))) % 209.33/209.63 [4674]E(f335(f335(f44(f933(x46741,x46742),f934(f933(x46743,x46744),a922)),f335(f335(f262(x46741,x46742),x46745),f335(f16(f934(x46742,a922),x46741),x46746))),f335(f265(x46741,x46742,f934(f933(x46743,x46744),a922)),f335(f335(f7(x46741,f934(x46742,f934(x46743,f934(x46744,a922))),f934(x46742,f934(f933(x46743,x46744),a922))),f335(f335(f8(f934(f934(x46743,f934(x46744,a922)),f934(f933(x46743,x46744),a922)),f934(f934(x46742,f934(x46743,f934(x46744,a922))),f934(x46742,f934(f933(x46743,x46744),a922))),x46741),f8(f934(x46743,f934(x46744,a922)),f934(f933(x46743,x46744),a922),x46742)),f335(f335(f8(f934(x46743,a922),f934(f934(x46743,f934(x46744,a922)),f934(f933(x46743,x46744),a922)),x46741),f262(x46743,x46744)),x46747))),f335(f335(f8(f934(x46744,a922),f934(x46743,f934(x46744,a922)),x46742),f16(f934(x46744,a922),x46743)),x46748)))),f335(f335(f262(x46743,x46744),f335(f335(f44(x46741,f934(x46743,a922)),x46745),x46747)),f335(f16(f934(x46744,a922),x46743),f335(f335(f44(x46742,f934(x46744,a922)),x46746),x46748)))) % 209.33/209.63 [4613]E(f335(f335(f267(x46131,x46132,x46133,x46134),f335(f335(f267(x46131,x46135,x46136,f933(x46132,x46133)),x46137),x46138)),x46139),f335(f335(f267(x46131,x46135,x46136,x46134),x46137),f335(f335(f7(x46135,f934(x46132,f934(x46133,x46134)),f934(x46136,x46134)),f335(f335(f8(f934(x46136,f933(x46132,x46133)),f934(f934(x46132,f934(x46133,x46134)),f934(x46136,x46134)),x46135),f267(x46136,x46132,x46133,x46134)),x46138)),x46139))) % 209.33/209.63 [4642]E(f335(f78(f933(x46421,x46422),f933(x46423,x46424),f933(x46425,x46426),f266(x46421,x46423,x46422,x46424,x46427,x46428)),f266(x46425,x46421,x46426,x46422,x46429,x464210)),f266(x46425,x46423,x46426,x46424,f335(f78(x46421,x46423,x46425,x46427),x46429),f335(f78(x46422,x46424,x46426,x46428),x464210))) % 209.33/209.63 [4648]E(f335(f266(x46481,x46482,x46483,x46484,x46485,x46486),f335(f266(x46487,x46481,x46488,x46483,x46489,x464810),x464811)),f335(f266(x46487,x46482,x46488,x46484,f335(f78(x46481,x46482,x46487,x46485),x46489),f335(f78(x46483,x46484,x46488,x46486),x464810)),x464811)) % 209.33/209.63 [4811]~P61(x48111)+P61(f931(x48111)) % 209.33/209.63 [4812]~P64(x48121)+P64(f931(x48121)) % 209.33/209.63 [4813]~P104(x48131)+P104(f928(x48131)) % 209.33/209.63 [4816]~P144(x48161)+~E(f84(x48161),f2(x48161)) % 209.33/209.63 [4818]~E(x48181,f2(a106))+E(f335(a22,x48181),f2(a1)) % 209.33/209.63 [4819]~E(x48191,f2(a1))+E(f88(a1,x48191),f2(a1)) % 209.33/209.63 [4825]~P146(x48251)+P28(x48251,f2(x48251)) % 209.33/209.63 [4827]~P108(x48271)+P13(x48271,f120(x48271)) % 209.33/209.63 [4836]P106(x48361)+P106(f335(a330,x48361)) % 209.33/209.63 [4890]~P146(x48901)+~P28(x48901,f84(x48901)) % 209.33/209.63 [4933]~P106(x49331)+~P106(f335(a330,x49331)) % 209.33/209.63 [4954]E(f335(a111,x49541),f2(a927))+~P106(f335(a200,x49541)) % 209.33/209.63 [5020]~P95(x50201)+P14(x50201,x50201,f87(x50201)) % 209.33/209.63 [5021]~P101(x50211)+P14(x50211,x50211,f108(x50211)) % 209.33/209.63 [5022]~P102(x50221)+P14(x50221,x50221,f117(x50221)) % 209.33/209.63 [5023]~P108(x50231)+P14(x50231,x50231,f241(x50231)) % 209.33/209.63 [5024]~P108(x50241)+P14(x50241,x50241,f242(x50241)) % 209.33/209.63 [5025]~P69(x50251)+P16(x50251,x50251,f87(x50251)) % 209.33/209.63 [4822]~E(x48221,f2(a927))+E(f335(f107(a1),x48221),f2(a1)) % 209.33/209.63 [4829]~P93(x48291)+E(f335(f110(x48291),a89),f2(x48291)) % 209.33/209.63 [4832]~E(f577(x48321),f2(a927))+E(f335(f172(a927),x48321),f2(a927)) % 209.33/209.63 [4833]~P109(x48331)+E(f245(x48331,f243(x48331)),f241(x48331)) % 209.33/209.63 [4834]~P109(x48341)+E(f246(x48341,f243(x48341)),f242(x48341)) % 209.33/209.63 [4835]~P88(x48351)+E(f88(x48351,f2(x48351)),f2(x48351)) % 209.33/209.63 [4844]~P146(x48441)+E(f335(f107(x48441),f84(a927)),f84(x48441)) % 209.33/209.63 [4845]~P146(x48451)+E(f335(f107(x48451),f2(a927)),f2(x48451)) % 209.33/209.63 [4846]~P140(x48461)+E(f335(f109(x48461),f84(a1)),f84(x48461)) % 209.33/209.63 [4847]~P140(x48471)+E(f335(f109(x48471),f2(a1)),f2(x48471)) % 209.33/209.63 [4848]E(x48481,f2(a927))+~E(f335(f107(a1),x48481),f2(a1)) % 209.33/209.63 [4884]~P90(x48841)+E(f335(f85(x48841),f195(x48841)),f250(x48841)) % 209.33/209.63 [4885]~P90(x48851)+E(f335(f85(x48851),f250(x48851)),f195(x48851)) % 209.33/209.63 [4886]~P3(x48861)+E(f335(f85(x48861),f2(x48861)),f2(x48861)) % 209.33/209.63 [4887]~P122(x48871)+E(f335(f81(x48871),f84(x48871)),f84(x48871)) % 209.33/209.63 [4888]~P85(x48881)+E(f335(f81(x48881),f2(x48881)),f2(x48881)) % 209.33/209.63 [4889]~P81(x48891)+E(f335(f172(x48891),f120(x48891)),f2(x48891)) % 209.33/209.63 [4907]~P36(x49071)+P40(f335(f179(a1),x49071)) % 209.33/209.63 [4938]~P93(x49381)+E(f335(f85(x49381),f84(x49381)),f335(f110(x49381),a104)) % 209.33/209.63 [4953]~P93(x49531)+P28(x49531,f335(f110(x49531),a89)) % 209.33/209.63 [4979]P36(x49791)+~P40(f335(f179(a1),x49791)) % 209.33/209.63 [5026]E(f335(f107(a1),f335(a111,x50261)),x50261)+P106(f335(a200,x50261)) % 209.33/209.63 [5096]~P115(x50961)+E(f253(x50961,f84(x50961),f87(x50961)),f252(x50961)) % 209.33/209.63 [5129]~P93(x51291)+~P28(x51291,f335(f110(x51291),a104)) % 209.33/209.63 [5221]~E(x52211,f84(a927))+P106(f335(f335(f295(a927),x52211),f84(a927))) % 209.33/209.63 [5277]E(f335(f81(a1),x52771),x52771)+P106(f335(f335(f244(a1),x52771),f2(a1))) % 209.33/209.63 [5295]~E(f335(a111,x52951),f2(a927))+P106(f335(f335(f243(a1),x52951),f2(a1))) % 209.33/209.63 [5361]~P106(f335(a200,x53611))+P106(f335(f335(f244(a1),x53611),f2(a1))) % 209.33/209.63 [5401]~P140(x54011)+P106(f335(f335(f337(x54011),f84(x54011)),f116(x54011))) % 209.33/209.63 [5402]~P146(x54021)+P106(f335(f335(f337(x54021),f84(x54021)),f193(x54021))) % 209.33/209.63 [5403]~P140(x54031)+P106(f335(f335(f337(x54031),f2(x54031)),f116(x54031))) % 209.33/209.63 [5404]~P146(x54041)+P106(f335(f335(f337(x54041),f2(x54041)),f193(x54041))) % 209.33/209.63 [5405]~P125(x54051)+P106(f335(f335(f243(x54051),f2(x54051)),f84(x54051))) % 209.33/209.63 [5406]~P125(x54061)+P106(f335(f335(f244(x54061),f2(x54061)),f84(x54061))) % 209.33/209.63 [5458]E(x54581,f84(a927))+~P106(f335(f335(f295(a927),x54581),f84(a927))) % 209.33/209.63 [5459]E(x54591,f2(a927))+~P106(f335(f335(f243(a927),x54591),f2(a927))) % 209.33/209.63 [5501]E(f335(a111,x55011),f2(a927))+~P106(f335(f335(f243(a1),x55011),f2(a1))) % 209.33/209.63 [5562]P106(f335(a200,x55621))+~P106(f335(f335(f244(a1),x55621),f2(a1))) % 209.33/209.63 [5569]~P108(x55691)+P16(x55691,f928(x55691),f155(x55691,x55691,f5(x55691))) % 209.33/209.63 [5587]P40(x55871)+~P106(f335(f335(f243(a1),f2(a1)),f436(x55871))) % 209.33/209.63 [5592]E(f335(f81(a1),x55921),f335(f85(a1),x55921))+~P106(f335(f335(f244(a1),x55921),f2(a1))) % 209.33/209.63 [5763]~P125(x57631)+~P106(f335(f335(f243(x57631),f84(x57631)),f2(x57631))) % 209.33/209.63 [5764]~P125(x57641)+~P106(f335(f335(f244(x57641),f84(x57641)),f2(x57641))) % 209.33/209.63 [5778]~E(x57781,f2(a927))+P106(f335(f335(f243(a1),f335(f107(a1),x57781)),f2(a1))) % 209.33/209.63 [5779]~E(x57791,f2(a1))+P106(f335(f335(f244(a1),f335(f81(a1),x57791)),f84(a1))) % 209.33/209.63 [5900]~P81(x59001)+E(f149(x59001,x59001,f86(x59001),f2(x59001)),f172(x59001)) % 209.33/209.63 [6074]~P103(x60741)+P25(a927,x60741,f107(x60741),f250(f934(a927,a922))) % 209.33/209.63 [6273]E(x62731,f2(a927))+~P106(f335(f335(f243(a1),f335(f107(a1),x62731)),f2(a1))) % 209.33/209.63 [6274]E(x62741,f2(a1))+~P106(f335(f335(f244(a1),f335(f81(a1),x62741)),f84(a1))) % 209.33/209.63 [7068]~P106(f335(f335(f244(a1),x70681),f2(a1)))+P106(f335(f335(f244(a1),f335(f335(f86(a1),x70681),x70681)),f2(a1))) % 209.33/209.63 [7619]P106(f335(f335(f244(a1),x76191),f2(a1)))+~P106(f335(f335(f244(a1),f335(f335(f86(a1),x76191),x76191)),f2(a1))) % 209.33/209.63 [8158]E(x81581,f335(a3,f2(a927)))+P106(f335(f335(f244(a927),f335(f335(f23(a927),f335(a20,x81581)),f335(a119,f2(a927)))),f335(a20,x81581))) % 209.33/209.63 [8920]~P106(f335(f335(f244(a1),x89201),f2(a1)))+P106(f335(f335(f244(a1),f335(f335(f23(a1),f335(f335(f86(a1),x89201),x89201)),a104)),f2(a1))) % 209.33/209.63 [9017]~P106(f335(f335(f244(a1),x90171),f2(a1)))+P106(f335(f335(f244(a1),f335(f335(f86(a1),f335(f335(f86(a1),f84(a1)),x90171)),x90171)),f2(a1))) % 209.33/209.63 [9340]P106(f335(f335(f244(a1),x93401),f2(a1)))+~P106(f335(f335(f244(a1),f335(f335(f23(a1),f335(f335(f86(a1),x93401),x93401)),a104)),f2(a1))) % 209.33/209.63 [9401]P106(f335(f335(f244(a1),x94011),f2(a1)))+~P106(f335(f335(f244(a1),f335(f335(f86(a1),f335(f335(f86(a1),f84(a1)),x94011)),x94011)),f2(a1))) % 209.33/209.63 [4927]~E(a89,x49271)+E(f335(f335(f86(a1),x49271),x49271),a89) % 209.33/209.63 [4928]~E(x49281,a89)+E(f335(f335(f86(a1),x49281),x49281),a89) % 209.33/209.63 [4939]E(x49391,f2(a1))+E(f335(f335(f41(a1),x49391),x49391),f84(a1)) % 209.33/209.63 [5073]E(x50731,a89)+~E(f335(f335(f86(a1),x50731),x50731),a89) % 209.33/209.63 [5074]E(a89,x50741)+~E(f335(f335(f86(a1),x50741),x50741),a89) % 209.33/209.63 [5086]~P5(x50861)+E(f43(x50861,f195(f934(x50861,a922))),f250(x50861)) % 209.33/209.63 [5087]~P5(x50871)+E(f43(x50871,f250(f934(x50871,a922))),f195(x50871)) % 209.33/209.63 [5088]~P5(x50881)+E(f42(x50881,f195(f934(x50881,a922))),f195(x50881)) % 209.33/209.63 [5089]~P5(x50891)+E(f42(x50891,f250(f934(x50891,a922))),f250(x50891)) % 209.33/209.63 [5090]~P108(x50901)+E(f146(x50901,f195(f934(x50901,a922))),f120(x50901)) % 209.33/209.63 [5233]E(x52331,f2(a927))+P106(f335(f335(f244(a927),f2(a927)),x52331)) % 209.33/209.63 [5252]~P6(x52521)+P106(f335(f335(f243(a1),f2(a1)),x52521)) % 209.33/209.63 [5286]~E(f335(f110(a927),x52861),f2(a927))+P106(f335(f335(f243(a1),x52861),a89)) % 209.33/209.63 [5291]P40(x52911)+P106(f335(f335(f337(a1),f436(x52911)),x52911)) % 209.33/209.63 [5292]E(x52921,f335(a3,f2(a927)))+P106(f335(f335(f243(a106),f84(a106)),x52921)) % 209.33/209.63 [5333]P106(f335(a200,x53331))+P106(f335(f335(f243(a1),f2(a1)),x53331)) % 209.33/209.63 [5383]E(f335(f107(a1),f335(a111,x53831)),f2(a1))+P106(f335(f335(f243(a1),f2(a1)),x53831)) % 209.33/209.63 [5440]E(f335(f107(a1),f335(f110(a927),x54401)),f335(f110(a1),x54401))+P106(f335(a200,f335(f110(a1),x54401))) % 209.33/209.63 [5465]E(f335(f110(a927),x54651),f2(a927))+~P106(f335(a200,f335(f110(a1),x54651))) % 209.33/209.63 [5466]E(f335(f110(a927),x54661),f2(a927))+~P106(f335(f335(f243(a1),x54661),a89)) % 209.33/209.63 [5498]P6(x54981)+~P106(f335(f335(f243(a1),f2(a1)),x54981)) % 209.33/209.63 [5572]E(f335(a119,f373(x55721)),x55721)+~P106(f335(f335(f244(a927),f2(a927)),x55721)) % 209.33/209.63 [5581]E(f335(a119,f335(f110(a927),x55811)),f84(a927))+~P106(f335(a200,f335(f110(a1),x55811))) % 209.33/209.63 [5588]E(f335(f107(a1),f464(x55881)),x55881)+~P106(f335(f335(f244(a1),f2(a1)),x55881)) % 209.33/209.63 [5595]~E(x55951,f335(a3,f2(a927)))+~P106(f335(f335(f243(a106),f84(a106)),x55951)) % 209.33/209.63 [5602]E(f335(f107(a1),f335(f110(a927),x56021)),f2(a1))+~P106(f335(a200,f335(f110(a1),x56021))) % 209.33/209.63 [5627]E(f335(f172(a927),x56271),f2(a927))+P106(f335(f335(f337(a927),f577(x56271)),f335(f179(a927),x56271))) % 209.33/209.63 [5647]E(f335(f107(a1),f335(a111,x56471)),x56471)+~P106(f335(f335(f243(a1),f2(a1)),x56471)) % 209.33/209.63 [5655]~P106(f335(a200,x56551))+~P106(f335(f335(f243(a1),f2(a1)),x56551)) % 209.33/209.63 [5756]E(f335(f335(f86(a927),f84(a927)),f335(f110(a927),x57561)),f84(a927))+~P106(f335(f335(f244(a1),x57561),a89)) % 209.33/209.63 [5820]E(x58201,f2(a927))+~P106(f335(f335(f244(a927),x58201),f335(a119,f2(a927)))) % 209.33/209.63 [5859]E(f335(f335(f23(a927),f335(f110(a927),x58591)),f84(a927)),f2(a927))+~P106(f335(f335(f243(a1),x58591),a89)) % 209.33/209.63 [5860]E(f335(f335(f86(a927),f335(f110(a927),x58601)),f84(a927)),f84(a927))+~P106(f335(f335(f244(a1),x58601),a89)) % 209.33/209.63 [5872]~P40(x58721)+E(f335(f40(a927),f335(f318(a1,a927,a111),x58721)),f335(f40(a1),x58721)) % 209.33/209.63 [5901]~P108(x59011)+E(f245(x59011,f335(f7(x59011,x59011,a922),f243(x59011))),f242(x59011)) % 209.33/209.63 [5902]~P108(x59021)+E(f246(x59021,f335(f7(x59021,x59021,a922),f243(x59021))),f241(x59021)) % 209.33/209.63 [5912]E(f50(a927,f335(a119,f2(a927)),f335(f110(a927),x59121)),f335(a119,f2(a927)))+~P106(f335(a200,f335(f110(a1),x59121))) % 209.33/209.63 [5921]~P106(f335(f335(f244(a1),f2(a1)),x59211))+P106(f335(f335(f243(a1),f84(a1)),x59211)) % 209.33/209.63 [5922]P106(f335(f335(f244(a1),f2(a1)),x59221))+~P106(f335(f335(f243(a1),f84(a1)),x59221)) % 209.33/209.63 [5933]E(f335(a119,f335(f335(f23(a927),x59331),f84(a927))),x59331)+~P106(f335(f335(f244(a927),f2(a927)),x59331)) % 209.33/209.63 [5989]P106(f335(f335(f244(a927),f2(a927)),f464(x59891)))+~P106(f335(f335(f244(a1),f2(a1)),x59891)) % 209.33/209.63 [6050]E(f50(a1,f335(f110(a1),a104),x60501),f335(f335(f23(a1),x60501),f84(a1)))+~P106(f335(f335(f244(a1),f2(a1)),x60501)) % 209.33/209.63 [6087]~P106(f335(f335(f244(a1),a89),x60871))+P106(f335(f335(f244(a927),f2(a927)),f335(f110(a927),x60871))) % 209.33/209.63 [6092]E(f335(a20,f838(x60921)),x60921)+~P106(f335(f335(f337(a927),x60921),f250(f934(a927,a922)))) % 209.33/209.63 [6141]P106(f335(f335(f244(a927),f2(a927)),f335(a111,x61411)))+~P106(f335(f335(f244(a1),f2(a1)),x61411)) % 209.33/209.63 [6190]~P106(f335(f335(f244(a927),f2(a927)),x61901))+P106(f335(f335(f244(a1),f2(a1)),f335(f107(a1),x61901))) % 209.33/209.63 [6226]~P106(f335(f335(f244(a927),f2(a927)),f335(a111,x62261)))+P106(f335(f335(f244(a1),f2(a1)),x62261)) % 209.33/209.63 [6241]~P40(x62411)+E(f335(f318(a927,a1,f107(a1)),f335(f318(a1,a927,a111),x62411)),x62411) % 209.33/209.63 [6254]P106(f335(f335(f244(a1),a89),x62541))+~P106(f335(f335(f244(a927),f2(a927)),f335(f110(a927),x62541))) % 209.33/209.63 [6311]P106(f335(f335(f244(a927),f2(a927)),x63111))+~P106(f335(f335(f244(a1),f2(a1)),f335(f107(a1),x63111))) % 209.33/209.63 [6425]E(f335(f318(a927,a1,f107(a1)),f335(f290(a927),f335(a111,x64251))),f335(f310(a1,f2(a1)),x64251))+~P106(f335(f335(f243(a1),f2(a1)),x64251)) % 209.33/209.63 [6441]~P125(x64411)+P106(f335(f335(f244(x64411),f2(x64411)),f335(f335(f86(x64411),f84(x64411)),f84(x64411)))) % 209.33/209.63 [6490]P106(f335(f335(f244(a927),f335(a119,f2(a927))),f335(a111,x64901)))+~P106(f335(f335(f244(a1),f84(a1)),x64901)) % 209.33/209.63 [6587]E(x65871,f2(a1))+P106(f335(f54(f2(a1),x65871),f335(f335(f260(a1,a1),f2(a1)),f2(a1)))) % 209.33/209.63 [6754]~P106(f335(f335(f244(a927),f335(a119,f2(a927))),f335(a111,x67541)))+P106(f335(f335(f244(a1),f84(a1)),x67541)) % 209.33/209.63 [7176]~P113(x71761)+P37(x71761,f335(f270(f933(x71761,x71761)),f335(f265(x71761,x71761,a922),f244(x71761)))) % 209.33/209.63 [5807]E(f335(f110(a927),f335(f335(f23(a1),x58071),a104)),f335(a119,f335(f110(a927),x58071)))+P106(f335(a200,f335(f110(a1),x58071))) % 209.33/209.63 [5823]~P36(x58231)+E(f335(f335(f161(a927,a1),f107(a1)),f335(f335(f161(a1,a927),a111),x58231)),x58231) % 209.33/209.63 [5939]E(f335(f85(a1),f335(f107(a1),f335(a119,f465(x59391)))),x59391)+~P106(f335(f335(f244(a1),x59391),f2(a1))) % 209.33/209.63 [5949]E(f335(f335(f86(a927),f84(a927)),f335(f110(a927),x59491)),f335(f110(a927),f335(f335(f23(a1),x59491),a104)))+P106(f335(f335(f244(a1),x59491),a89)) % 209.33/209.63 [5991]E(f335(f335(f41(a1),f335(f110(a1),a104)),x59911),f335(f110(a1),a104))+~P106(f335(f335(f244(a1),f2(a1)),x59911)) % 209.33/209.63 [6083]E(f335(f335(f23(a927),f335(f110(a927),x60831)),f84(a927)),f335(f110(a927),f335(f335(f86(a1),x60831),a104)))+P106(f335(f335(f243(a1),x60831),a89)) % 209.33/209.63 [6084]E(f335(f335(f86(a927),f335(f110(a927),x60841)),f84(a927)),f335(f110(a927),f335(f335(f23(a1),x60841),a104)))+P106(f335(f335(f244(a1),x60841),a89)) % 209.33/209.63 [6128]E(f335(a111,f335(f335(f86(a1),f84(a1)),x61281)),f335(a119,f335(a111,x61281)))+~P106(f335(f335(f243(a1),f2(a1)),x61281)) % 209.33/209.63 [6162]E(f335(a119,f335(f335(f23(a927),x61621),f335(a119,f2(a927)))),x61621)+~P106(f335(f335(f244(a927),f2(a927)),x61621)) % 209.33/209.63 [6376]E(f50(a927,f335(a119,f2(a927)),f335(f110(a927),x63761)),f335(a111,f50(a1,f84(a1),f335(f110(a1),x63761))))+P106(f335(a200,f335(f110(a1),x63761))) % 209.33/209.63 [6418]~P106(f335(f335(f243(a1),a89),x64181))+P106(f335(f335(f243(a1),a89),f335(f335(f86(a1),x64181),x64181))) % 209.33/209.63 [6419]~P106(f335(f335(f244(a1),a104),x64191))+P106(f335(f335(f243(a1),a104),f335(f335(f86(a1),x64191),x64191))) % 209.33/209.63 [6420]~P106(f335(f335(f244(a1),a89),x64201))+P106(f335(f335(f244(a1),a89),f335(f335(f86(a1),x64201),x64201))) % 209.33/209.63 [6421]~P106(f335(f335(f244(a1),a104),x64211))+P106(f335(f335(f244(a1),a104),f335(f335(f86(a1),x64211),x64211))) % 209.33/209.63 [6600]~P106(f335(f66(x66001),f250(f934(x66001,a922))))+P106(f335(f66(f931(x66001)),f250(f934(f931(x66001),a922)))) % 209.33/209.63 [6686]~P106(f335(f335(f243(a1),f2(a1)),x66861))+P106(f335(f335(f244(a1),f2(a1)),f335(f335(f86(a1),f84(a1)),x66861))) % 209.33/209.63 [6693]E(f335(f259(a1,a1),f52(f84(a1),f335(f110(a1),x66931))),f335(f335(f41(a1),f84(a1)),f335(f110(a1),x66931)))+~P106(f335(f335(f243(a1),f2(a1)),f335(f110(a1),x66931))) % 209.33/209.63 [6713]E(f335(f264(a1,a1),f52(f84(a1),f335(f110(a1),x67131))),f50(a1,f84(a1),f335(f110(a1),x67131)))+~P106(f335(f335(f243(a1),f2(a1)),f335(f110(a1),x67131))) % 209.33/209.63 [6725]P106(f335(f66(x67251),f250(f934(x67251,a922))))+~P106(f335(f66(f931(x67251)),f250(f934(f931(x67251),a922)))) % 209.33/209.63 [6755]P106(f335(f335(f243(a1),a89),x67551))+~P106(f335(f335(f243(a1),a89),f335(f335(f86(a1),x67551),x67551))) % 209.33/209.63 [6756]P106(f335(f335(f244(a1),a89),x67561))+~P106(f335(f335(f244(a1),a89),f335(f335(f86(a1),x67561),x67561))) % 209.33/209.63 [6757]P106(f335(f335(f244(a1),a104),x67571))+~P106(f335(f335(f243(a1),a104),f335(f335(f86(a1),x67571),x67571))) % 209.33/209.63 [6758]P106(f335(f335(f244(a1),a104),x67581))+~P106(f335(f335(f244(a1),a104),f335(f335(f86(a1),x67581),x67581))) % 209.33/209.63 [7072]~P106(f335(f66(x70721),f250(f934(x70721,a922))))+P106(f335(f335(f244(a927),f2(a927)),f335(f40(x70721),f250(f934(x70721,a922))))) % 209.33/209.63 [7658]P106(f335(f66(a927),x76581))+~P106(f335(f66(a1),f335(f318(a927,a1,f107(a1)),x76581))) % 209.33/209.63 [5731]~E(a104,x57311)+E(f335(f335(f23(a1),f335(f335(f86(a1),x57311),x57311)),a104),a104) % 209.33/209.63 [5732]~E(x57321,a104)+E(f335(f335(f23(a1),f335(f335(f86(a1),x57321),x57321)),a104),a104) % 209.33/209.63 [6249]E(x62491,a104)+~E(f335(f335(f23(a1),f335(f335(f86(a1),x62491),x62491)),a104),a104) % 209.33/209.63 [6250]E(a104,x62501)+~E(f335(f335(f23(a1),f335(f335(f86(a1),x62501),x62501)),a104),a104) % 209.33/209.63 [6654]~E(f335(f110(a927),x66541),f2(a927))+P106(f335(a200,f335(f110(a1),f335(f335(f86(a1),x66541),a104)))) % 209.33/209.63 [7002]~P106(f335(a200,f335(f110(a1),x70021)))+P106(f335(a200,f335(f110(a1),f335(f335(f86(a1),x70021),x70021)))) % 209.33/209.63 [7003]~P106(f335(f335(f243(a1),x70031),a89))+P106(f335(f335(f243(a1),f335(f335(f86(a1),x70031),x70031)),a89)) % 209.33/209.63 [7004]~P106(f335(f335(f243(a1),x70041),a104))+P106(f335(f335(f243(a1),f335(f335(f86(a1),x70041),x70041)),a104)) % 209.33/209.63 [7005]~P106(f335(f335(f244(a1),x70051),a89))+P106(f335(f335(f244(a1),f335(f335(f86(a1),x70051),x70051)),a89)) % 209.33/209.63 [7006]~P106(f335(f335(f243(a1),x70061),a104))+P106(f335(f335(f244(a1),f335(f335(f86(a1),x70061),x70061)),a104)) % 209.33/209.63 [7322]E(f335(f110(a927),x73221),f2(a927))+~P106(f335(a200,f335(f110(a1),f335(f335(f86(a1),x73221),a104)))) % 209.33/209.63 [7575]~P106(f335(f335(f243(a1),f2(a1)),f335(f110(a1),x75751)))+P106(f335(f335(f243(a1),f2(a1)),f335(f110(a1),f335(f335(f86(a1),x75751),x75751)))) % 209.33/209.63 [7576]P106(f335(a200,f335(f110(a1),x75761)))+~P106(f335(a200,f335(f110(a1),f335(f335(f86(a1),x75761),x75761)))) % 209.33/209.63 [7577]P106(f335(f335(f243(a1),x75771),a89))+~P106(f335(f335(f243(a1),f335(f335(f86(a1),x75771),x75771)),a89)) % 209.33/209.63 [7578]P106(f335(f335(f243(a1),x75781),a104))+~P106(f335(f335(f243(a1),f335(f335(f86(a1),x75781),x75781)),a104)) % 209.33/209.63 [7579]P106(f335(f335(f243(a1),x75791),a104))+~P106(f335(f335(f244(a1),f335(f335(f86(a1),x75791),x75791)),a104)) % 209.33/209.63 [7580]P106(f335(f335(f244(a1),x75801),a89))+~P106(f335(f335(f244(a1),f335(f335(f86(a1),x75801),x75801)),a89)) % 209.33/209.63 [7932]E(f335(a114,f557(x79321)),x79321)+~P106(f335(f335(f337(f934(f933(a927,a927),a922)),x79321),a105)) % 209.33/209.63 [6574]~P93(x65741)+E(f335(f110(x65741),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f84(x65741)) % 209.33/209.63 [7052]~P106(f335(a200,f335(f110(a1),x70521)))+E(f335(f110(a927),f335(f335(f23(a1),f335(f335(f86(a1),x70521),x70521)),a104)),f2(a927)) % 209.33/209.63 [8104]~P106(f335(f335(f244(a1),f335(f110(a1),x81041)),f2(a1)))+E(f335(f259(a1,a1),f335(a56,f55(f335(f85(a1),f84(a1)),f335(f85(a1),f335(f110(a1),x81041))))),f335(f335(f41(a1),f84(a1)),f335(f110(a1),x81041))) % 209.33/209.63 [8117]~P106(f335(f335(f244(a1),f335(f110(a1),x81171)),f2(a1)))+E(f335(f264(a1,a1),f335(a56,f55(f335(f85(a1),f84(a1)),f335(f85(a1),f335(f110(a1),x81171))))),f50(a1,f84(a1),f335(f110(a1),x81171))) % 209.33/209.63 [8165]~P106(f335(f335(f243(a1),a89),x81651))+P106(f335(f335(f243(a1),a89),f335(f335(f23(a1),f335(f335(f86(a1),x81651),x81651)),a104))) % 209.33/209.63 [8166]~P106(f335(f335(f243(a1),a104),x81661))+P106(f335(f335(f243(a1),a104),f335(f335(f23(a1),f335(f335(f86(a1),x81661),x81661)),a104))) % 209.33/209.63 [8167]~P106(f335(f335(f243(a1),a89),x81671))+P106(f335(f335(f244(a1),a89),f335(f335(f23(a1),f335(f335(f86(a1),x81671),x81671)),a104))) % 209.33/209.63 [8168]~P106(f335(f335(f244(a1),a104),x81681))+P106(f335(f335(f244(a1),a104),f335(f335(f23(a1),f335(f335(f86(a1),x81681),x81681)),a104))) % 209.33/209.63 [8462]~P93(x84621)+~P28(x84621,f335(f110(x84621),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))) % 209.33/209.63 [8645]P106(f335(f335(f243(a1),a89),x86451))+~P106(f335(f335(f243(a1),a89),f335(f335(f23(a1),f335(f335(f86(a1),x86451),x86451)),a104))) % 209.33/209.63 [8646]P106(f335(f335(f243(a1),a89),x86461))+~P106(f335(f335(f244(a1),a89),f335(f335(f23(a1),f335(f335(f86(a1),x86461),x86461)),a104))) % 209.33/209.63 [8647]P106(f335(f335(f243(a1),a104),x86471))+~P106(f335(f335(f243(a1),a104),f335(f335(f23(a1),f335(f335(f86(a1),x86471),x86471)),a104))) % 209.33/209.63 [8648]P106(f335(f335(f244(a1),a104),x86481))+~P106(f335(f335(f244(a1),a104),f335(f335(f23(a1),f335(f335(f86(a1),x86481),x86481)),a104))) % 209.33/209.63 [8967]E(f335(f110(a927),f335(f335(f23(a1),f335(f335(f86(a1),x89671),x89671)),a104)),f335(f335(f92(a927,a927),f335(f110(a927),x89671)),f335(f335(f8(a927,a927,a927),a119),f335(f335(f18(a927,a927,a927),f86(a927)),f5(a927)))))+P106(f335(a200,f335(f110(a1),x89671))) % 209.33/209.63 [9820]E(x98201,f195(f934(f933(a927,a927),a922)))+P106(f335(f335(f337(f933(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922))),f335(f335(f260(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922)),x98201),f195(f934(f933(a927,a927),a922)))),a74)) % 209.33/209.63 [8894]~P106(f335(a200,f335(f110(a1),x88941)))+P106(f335(a200,f335(f110(a1),f335(f335(f23(a1),f335(f335(f86(a1),x88941),x88941)),a104)))) % 209.33/209.63 [8895]~P106(f335(f335(f244(a1),x88951),a89))+P106(f335(f335(f243(a1),f335(f335(f23(a1),f335(f335(f86(a1),x88951),x88951)),a104)),a89)) % 209.33/209.63 [8896]~P106(f335(f335(f243(a1),x88961),a104))+P106(f335(f335(f243(a1),f335(f335(f23(a1),f335(f335(f86(a1),x88961),x88961)),a104)),a104)) % 209.33/209.63 [8897]~P106(f335(f335(f244(a1),x88971),a89))+P106(f335(f335(f244(a1),f335(f335(f23(a1),f335(f335(f86(a1),x88971),x88971)),a104)),a89)) % 209.33/209.63 [8898]~P106(f335(f335(f244(a1),x88981),a104))+P106(f335(f335(f244(a1),f335(f335(f23(a1),f335(f335(f86(a1),x88981),x88981)),a104)),a104)) % 209.33/209.63 [9008]~P106(f335(f335(f243(a1),f2(a1)),f335(f110(a1),x90081)))+P106(f335(f335(f243(a1),f2(a1)),f335(f110(a1),f335(f335(f23(a1),f335(f335(f86(a1),x90081),x90081)),a104)))) % 209.33/209.63 [9170]~P93(x91701)+E(f335(f335(f86(x91701),f84(x91701)),f84(x91701)),f335(f110(x91701),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))) % 209.33/209.63 [9324]P106(f335(a200,f335(f110(a1),x93241)))+~P106(f335(a200,f335(f110(a1),f335(f335(f23(a1),f335(f335(f86(a1),x93241),x93241)),a104)))) % 209.33/209.63 [9325]P106(f335(f335(f243(a1),x93251),a104))+~P106(f335(f335(f243(a1),f335(f335(f23(a1),f335(f335(f86(a1),x93251),x93251)),a104)),a104)) % 209.33/209.63 [9326]P106(f335(f335(f244(a1),x93261),a89))+~P106(f335(f335(f243(a1),f335(f335(f23(a1),f335(f335(f86(a1),x93261),x93261)),a104)),a89)) % 209.33/209.63 [9327]P106(f335(f335(f244(a1),x93271),a89))+~P106(f335(f335(f244(a1),f335(f335(f23(a1),f335(f335(f86(a1),x93271),x93271)),a104)),a89)) % 209.33/209.63 [9328]P106(f335(f335(f244(a1),x93281),a104))+~P106(f335(f335(f244(a1),f335(f335(f23(a1),f335(f335(f86(a1),x93281),x93281)),a104)),a104)) % 209.33/209.63 [9865]~P106(f335(f66(f933(a927,a927)),x98651))+P106(f335(f335(f337(f933(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922))),f335(f335(f260(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922)),f195(f934(f933(a927,a927),a922))),x98651)),a75)) % 209.33/209.63 [9650]~P146(x96501)+E(f335(f335(f252(x96501),f84(x96501)),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),f84(x96501)) % 209.33/209.63 [9651]~P146(x96511)+E(f335(f335(f252(x96511),f2(x96511)),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),f2(x96511)) % 209.33/209.63 [10091]~P106(f335(f335(f244(a927),f84(a927)),x100911))+P106(f335(f335(f244(a927),f2(a927)),f335(f335(f41(a927),x100911),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))))) % 209.33/209.63 [10097]~P106(f335(f335(f244(a927),f2(a927)),x100971))+P106(f335(f335(f244(a927),f2(a927)),f335(f335(f41(a927),f335(f335(f86(a927),x100971),f84(a927))),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))))) % 209.33/209.63 [10136]~E(f50(a927,x101361,f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),f84(a927))+P106(f335(f335(f244(a927),f2(a927)),f50(a927,x101361,f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))))) % 209.33/209.63 [10167]E(f50(a927,x101671,f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),f84(a927))+~P106(f335(f335(f244(a927),f2(a927)),f50(a927,x101671,f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))))) % 209.33/209.63 [4852]~P37(x48521,x48522)+P58(x48521,x48522) % 209.33/209.63 [4853]~P43(x48531,x48532)+P58(x48531,x48532) % 209.33/209.63 [4855]~P7(x48551,x48552)+P48(x48551,x48552) % 209.33/209.63 [4857]~P7(x48571,x48572)+P50(x48571,x48572) % 209.33/209.63 [4859]~P15(x48591,x48592)+P50(x48591,x48592) % 209.33/209.63 [4861]~P7(x48611,x48612)+P51(x48611,x48612) % 209.33/209.63 [4863]~P15(x48631,x48632)+P51(x48631,x48632) % 209.33/209.63 [4864]~P7(x48641,x48642)+P15(x48641,x48642) % 209.33/209.63 [4809]E(x48091,x48092)+~E(f33(x48091),f33(x48092)) % 209.33/209.63 [4810]E(x48101,x48102)+~E(f34(x48101),f34(x48102)) % 209.33/209.63 [4814]~E(x48141,x48142)+E(f277(x48141,x48142),f84(a106)) % 209.33/209.63 [4817]E(f225(x48171,x48172),x48171)+~E(x48172,f2(a927)) % 209.33/209.63 [4824]~E(x48242,f120(x48241))+E(f159(x48241,x48242),f120(x48241)) % 209.33/209.63 [4843]~E(f159(x48432,x48431),f120(x48432))+E(x48431,f120(x48432)) % 209.33/209.63 [4868]~P1(x48682)+P1(f934(x48681,x48682)) % 209.33/209.63 [4869]~P2(x48692)+P2(f934(x48691,x48692)) % 209.33/209.63 [4870]~P107(x48702)+P107(f934(x48701,x48702)) % 209.33/209.63 [4871]~P109(x48712)+P109(f934(x48711,x48712)) % 209.33/209.63 [4872]~P110(x48722)+P110(f934(x48721,x48722)) % 209.33/209.63 [4873]~P111(x48732)+P111(f934(x48731,x48732)) % 209.33/209.63 [4874]~P82(x48742)+P82(f934(x48741,x48742)) % 209.33/209.63 [4875]~P90(x48752)+P90(f934(x48751,x48752)) % 209.33/209.63 [4876]~P5(x48762)+P5(f934(x48761,x48762)) % 209.33/209.63 [4877]~P96(x48772)+P96(f934(x48771,x48772)) % 209.33/209.63 [4878]~P96(x48782)+P101(f934(x48781,x48782)) % 209.33/209.63 [4879]~P98(x48792)+P97(f934(x48791,x48792)) % 209.33/209.63 [4880]~P98(x48802)+P99(f934(x48801,x48802)) % 209.33/209.63 [4881]~P96(x48812)+P102(f934(x48811,x48812)) % 209.33/209.63 [4882]~P100(x48822)+P100(f934(x48821,x48822)) % 209.33/209.63 [4883]~P98(x48832)+P98(f934(x48831,x48832)) % 209.33/209.63 [4896]E(x48961,x48962)+~E(f335(a119,x48961),f335(a119,x48962)) % 209.33/209.63 [4897]E(x48971,x48972)+~E(f335(a114,x48971),f335(a114,x48972)) % 209.33/209.63 [4898]E(x48981,x48982)+~E(f335(a3,x48981),f335(a3,x48982)) % 209.33/209.63 [4900]E(x49001,x49002)+~E(f335(a20,x49001),f335(a20,x49002)) % 209.33/209.63 [4955]P39(x49551,x49552)+~E(f729(x49552,x49551),f730(x49552,x49551)) % 209.33/209.63 [4985]~P58(x49851,x49852)+P39(x49851,f315(x49851,x49852)) % 209.33/209.63 [4986]~P52(x49861,x49862)+P52(x49861,f315(x49861,x49862)) % 209.33/209.63 [4999]~P62(x49991)+E(f50(x49991,x49992,x49992),f2(x49991)) % 209.33/209.63 [5033]~P37(x50331,x50332)+P37(f928(x50331),f153(x50331,x50332)) % 209.33/209.63 [5034]~P37(x50341,x50342)+P37(f928(x50341),f152(x50341,x50342)) % 209.33/209.63 [5035]~P38(x50351,x50352)+P38(f928(x50351),f154(x50351,x50352)) % 209.33/209.63 [5036]~P38(x50361,x50362)+P38(f928(x50361),f165(x50361,x50362)) % 209.33/209.63 [5037]~P52(x50371,x50372)+P52(f928(x50371),f165(x50371,x50372)) % 209.33/209.63 [5134]~P37(x51341,x51342)+P37(f934(x51341,a922),f328(x51341,x51342)) % 209.33/209.63 [5135]~P37(x51351,x51352)+P37(f934(x51351,a922),f326(x51351,x51352)) % 209.33/209.63 [5261]~P6(x52611)+P40(f311(a1,x52611,x52612)) % 209.33/209.63 [5364]~P37(x53641,x53642)+P60(x53641,f72(x53641,x53641,x53642)) % 209.33/209.63 [5866]~P78(x58661)+P25(x58661,x58661,f85(x58661),x58662) % 209.33/209.63 [4838]~E(x48382,f120(x48381))+E(f335(f174(x48381),x48382),f120(x48381)) % 209.33/209.63 [4839]~E(x48392,f120(x48391))+E(f335(f175(x48391),x48392),f120(x48391)) % 209.33/209.63 [4902]E(x49021,f335(a111,x49022))+~E(f335(f107(a1),x49021),x49022) % 209.33/209.63 [4905]E(x49051,f120(x49052))+~E(f335(f174(x49052),x49051),f120(x49052)) % 209.33/209.63 [4906]E(x49061,f120(x49062))+~E(f335(f175(x49062),x49061),f120(x49062)) % 209.33/209.63 [4924]~P93(x49241)+E(f335(f110(x49241),x49242),f335(f109(x49241),x49242)) % 209.33/209.63 [4932]~P61(x49321)+P106(f335(f66(x49321),x49322)) % 209.33/209.63 [4940]~E(f689(x49402,x49401),f120(x49401))+E(f186(x49401,x49402),f120(f928(x49401))) % 209.33/209.63 [4949]~E(x49492,f120(x49491))+E(f335(f179(x49491),x49492),f195(f934(x49491,a922))) % 209.33/209.63 [4950]~E(x49502,f120(x49501))+E(f195(f934(x49501,a922)),f335(f179(x49501),x49502)) % 209.33/209.63 [4952]E(x49521,x49522)+~E(f335(f107(a1),x49521),f335(f107(a1),x49522)) % 209.33/209.63 [4956]E(f223(x49561,x49562),f2(a927))+P106(f335(f66(x49561),x49562)) % 209.33/209.63 [4974]~P122(x49741)+E(f88(x49741,f88(x49741,x49742)),f88(x49741,x49742)) % 209.33/209.63 [4988]~P80(x49881)+E(f335(f335(f252(x49881),x49882),f84(a927)),x49882) % 209.33/209.63 [4989]~P116(x49891)+E(f335(f335(f252(x49891),x49892),f84(a927)),x49892) % 209.33/209.63 [4990]~P52(x49901,x49902)+E(f335(f294(x49901,x49901),x49902),x49902) % 209.33/209.63 [4994]E(x49941,x49942)+E(f277(x49941,x49942),f335(f335(f86(a106),x49942),f84(a106))) % 209.33/209.63 [4997]E(f335(f40(x49971),x49972),f2(a927))+P106(f335(f66(x49971),x49972)) % 209.33/209.63 [5000]~E(f159(x50001,x50002),x50002)+P106(f335(f144(x50001),x50002)) % 209.33/209.63 [5003]~P3(x50031)+E(f335(f335(f23(x50031),x50032),f2(x50031)),x50032) % 209.33/209.63 [5004]~P71(x50041)+E(f335(f335(f87(x50041),x50042),f84(x50041)),x50042) % 209.33/209.63 [5005]~P80(x50051)+E(f335(f335(f87(x50051),x50052),f84(x50051)),x50052) % 209.33/209.63 [5006]~P116(x50061)+E(f335(f335(f87(x50061),x50062),f84(x50061)),x50062) % 209.33/209.63 [5007]~P99(x50071)+E(f335(f335(f108(x50071),x50072),f250(x50071)),x50072) % 209.33/209.63 [5008]~P97(x50081)+E(f335(f335(f117(x50081),x50082),f195(x50081)),x50082) % 209.33/209.63 [5009]~P116(x50091)+E(f335(f335(f86(x50091),x50092),f2(x50091)),x50092) % 209.33/209.63 [5010]~P75(x50101)+E(f335(f335(f86(x50101),x50102),f2(x50101)),x50102) % 209.33/209.63 [5011]~P81(x50111)+E(f335(f335(f86(x50111),x50112),f2(x50111)),x50112) % 209.33/209.63 [5012]~P62(x50121)+E(f335(f335(f41(x50121),x50122),f84(x50121)),x50122) % 209.33/209.63 [5013]~P119(x50131)+E(f335(f335(f299(x50131),x50132),f84(x50131)),x50132) % 209.33/209.63 [5014]~P116(x50141)+E(f335(f335(f252(x50141),x50142),f2(a927)),f84(x50141)) % 209.33/209.63 [5015]~P115(x50151)+E(f335(f335(f252(x50151),x50152),f2(a927)),f84(x50151)) % 209.33/209.63 [5016]~E(x50162,f195(f934(x50161,a922)))+E(f335(f40(x50161),x50162),f2(a927)) % 209.33/209.63 [5027]~P62(x50271)+E(f50(x50271,x50272,f2(x50271)),x50272) % 209.33/209.63 [5038]~P116(x50381)+E(f335(f335(f87(x50381),x50382),f2(x50381)),f2(x50381)) % 209.33/209.63 [5039]~P129(x50391)+E(f335(f335(f87(x50391),x50392),f2(x50391)),f2(x50391)) % 209.33/209.63 [5040]~P97(x50401)+E(f335(f335(f108(x50401),x50402),f195(x50401)),f195(x50401)) % 209.33/209.63 [5041]~P99(x50411)+E(f335(f335(f117(x50411),x50412),f250(x50411)),f250(x50411)) % 209.33/209.63 [5042]~P62(x50421)+E(f335(f335(f41(x50421),x50422),f2(x50421)),f2(x50421)) % 209.33/209.63 [5043]~P120(x50431)+E(f335(f335(f299(x50431),x50432),f2(x50431)),f2(x50431)) % 209.33/209.63 [5045]~P62(x50451)+E(f50(x50451,x50452,f84(x50451)),f2(x50451)) % 209.33/209.63 [5046]~P62(x50461)+E(f50(x50461,f2(x50461),x50462),f2(x50461)) % 209.33/209.63 [5075]E(x50751,f2(a927))+E(f60(x50752,x50751,f120(x50752)),f120(f928(x50752))) % 209.33/209.63 [5098]P52(x50981,x50982)+~E(f335(f294(x50981,x50981),x50982),x50982) % 209.33/209.63 [5099]P37(x50991,x50992)+~E(f840(x50992,x50991),f195(f934(x50991,a922))) % 209.33/209.63 [5100]E(x51001,f120(x51002))+~E(f335(f179(x51002),x51001),f195(f934(x51002,a922))) % 209.33/209.63 [5101]E(x51011,f120(x51012))+~E(f195(f934(x51012,a922)),f335(f179(x51012),x51011)) % 209.33/209.63 [5104]~E(x51041,x51042)+P106(f335(f335(a332,x51041),x51042)) % 209.33/209.63 [5114]P106(x51141)+P106(f335(f335(a338,x51141),x51142)) % 209.33/209.63 [5115]E(x51151,f120(x51152))+E(f335(f335(f171(x51152),x51151),f2(a927)),f335(f148(x51152),x51151)) % 209.33/209.63 [5118]E(f159(x51181,x51182),x51182)+~P106(f335(f144(x51181),x51182)) % 209.33/209.63 [5125]~P106(x51252)+P106(f335(f335(a338,x51251),x51252)) % 209.33/209.63 [5126]~P106(x51262)+P106(f335(f335(a334,x51261),x51262)) % 209.33/209.63 [5127]~P106(x51271)+P106(f335(f335(a334,x51271),x51272)) % 209.33/209.63 [5137]~E(f690(x51372,x51371),f694(x51372,x51371))+P106(f335(f144(x51371),x51372)) % 209.33/209.63 [5144]E(f335(f270(x51441),x51442),f195(f934(x51441,a922)))+P106(f335(x51442,f340(x51442))) % 209.33/209.63 [5145]E(f195(f934(x51451,a922)),f335(f270(x51451),x51452))+P106(f335(x51452,f341(x51452))) % 209.33/209.63 [5214]~P122(x52141)+E(f335(f335(f87(x52141),x52142),f88(x52141,x52142)),f335(f81(x52141),x52142)) % 209.33/209.63 [5226]~E(x52261,f2(a1))+E(f51(x52261,x52262),f335(f335(f260(a1,a1),f2(a1)),f2(a1))) % 209.33/209.63 [5257]~P58(x52571,x52572)+P58(x52571,f335(f294(x52571,x52571),x52572)) % 209.33/209.63 [5258]~P38(x52581,x52582)+P38(x52581,f335(f294(x52581,x52581),x52582)) % 209.33/209.63 [5259]~P39(x52591,x52592)+P39(x52591,f335(f294(x52591,x52591),x52592)) % 209.33/209.63 [5260]~P52(x52601,x52602)+P52(x52601,f335(f294(x52601,x52601),x52602)) % 209.33/209.63 [5282]E(x52821,x52822)+~P106(f335(f335(a332,x52821),x52822)) % 209.33/209.63 [5293]P106(x52931)+~P106(f335(f335(a333,x52932),x52931)) % 209.33/209.63 [5294]P106(x52941)+~P106(f335(f335(a333,x52941),x52942)) % 209.33/209.63 [5299]~P111(x52991)+P106(f335(f335(f243(x52991),x52992),f250(x52991))) % 209.33/209.63 [5300]~P116(x53001)+P106(f335(f335(f295(x53001),x53002),f2(x53001))) % 209.33/209.63 [5304]E(x53041,x53042)+~E(f335(x53041,f444(x53042,x53041)),f335(x53042,f444(x53042,x53041))) % 209.33/209.63 [5335]E(x53351,f2(a927))+E(f225(x53351,f50(a927,x53352,x53351)),f225(x53352,x53351)) % 209.33/209.63 [5340]~P108(x53401)+P13(x53401,f335(f335(f158(x53401),x53402),f120(x53401))) % 209.33/209.63 [5342]E(x53421,f2(a1))+P106(f335(f54(x53422,x53421),f51(x53422,x53421))) % 209.33/209.63 [5359]~P15(x53592,x53591)+P106(f335(f335(x53591,f825(x53591)),f825(x53591))) % 209.33/209.63 [5362]~E(x53621,x53622)+P106(f335(f335(f244(a927),x53621),f335(a119,x53622))) % 209.33/209.63 [5372]~E(x53721,f2(a927))+P106(f335(f335(f244(a927),x53721),f335(a119,x53722))) % 209.33/209.63 [5382]P106(f335(x53821,x53822))+P106(f335(f335(f243(a1),f2(a1)),f438(x53821))) % 209.33/209.63 [5445]P58(x54451,x54452)+~P58(x54451,f335(f294(x54451,x54451),x54452)) % 209.33/209.63 [5446]P38(x54461,x54462)+~P38(x54461,f335(f294(x54461,x54461),x54462)) % 209.33/209.63 [5447]P39(x54471,x54472)+~P39(x54471,f335(f294(x54471,x54471),x54472)) % 209.33/209.63 [5448]P52(x54481,x54482)+~P52(x54481,f335(f294(x54481,x54481),x54482)) % 209.33/209.63 [5451]~E(f50(a927,x54512,x54511),f2(a927))+E(f335(f335(f87(a927),x54511),f450(x54511,x54512)),x54512) % 209.33/209.63 [5452]~E(f50(a1,x54522,x54521),f2(a1))+E(f335(f335(f87(a1),x54521),f463(x54521,x54522)),x54522) % 209.33/209.63 [5479]~P106(f335(x54791,x54792))+P106(f335(f335(f243(a1),f2(a1)),f437(x54791))) % 209.33/209.63 [5490]E(f335(f335(f23(a927),f335(a111,x54901)),f335(a111,x54902)),f335(a111,x54901))+~P106(f335(a200,x54902)) % 209.33/209.63 [5519]E(f280(x55191,x55192),f84(a106))+~P106(f335(f335(f243(a106),x55191),f84(a106))) % 209.33/209.63 [5613]E(f335(f335(f171(x56131),x56132),f690(x56132,x56131)),f335(f335(f171(x56131),x56132),f694(x56132,x56131)))+P106(f335(f144(x56131),x56132)) % 209.33/209.63 [5656]~P106(f335(x56561,f96(x56562,x56561)))+P106(f335(x56561,f578(x56562,x56561))) % 209.33/209.63 [5721]P60(x57211,x57212)+~P106(f335(f323(x57211,x57212),f451(x57212,x57211))) % 209.33/209.63 [5863]~P15(x58632,x58631)+P106(f335(f335(x58631,f826(x58631,x58632)),f826(x58631,x58632))) % 209.33/209.63 [5864]~P15(x58642,x58641)+P106(f335(f335(x58641,f830(x58641,x58642)),f830(x58641,x58642))) % 209.33/209.63 [5873]~E(f335(a119,f50(a927,x58731,x58732)),x58732)+E(f50(a927,f335(a119,x58731),x58732),f2(a927)) % 209.33/209.63 [5928]P37(x59281,x59282)+P106(f335(f335(f337(x59281),f912(x59282,x59281)),f913(x59282,x59281))) % 209.33/209.63 [5935]~P140(x59351)+P106(f335(f335(f337(x59351),f335(f107(x59351),x59352)),f116(x59351))) % 209.33/209.63 [5936]~P146(x59361)+P106(f335(f335(f337(x59361),f335(f107(x59361),x59362)),f193(x59361))) % 209.33/209.63 [5937]~P140(x59371)+P106(f335(f335(f337(x59371),f335(f109(x59371),x59372)),f116(x59371))) % 209.33/209.63 [5938]~P93(x59381)+P106(f335(f335(f337(x59381),f335(f110(x59381),x59382)),f116(x59381))) % 209.33/209.63 [6072]~P38(x60721,x60722)+E(f335(f335(f297(x60721,x60721,x60721),x60722),f315(x60721,x60722)),x60722) % 209.33/209.63 [6086]E(f335(a119,f50(a927,x60861,x60862)),x60862)+E(f50(a927,f335(a119,x60861),x60862),f335(a119,f50(a927,x60861,x60862))) % 209.33/209.63 [6502]P37(x65021,x65022)+~P106(f335(f335(f337(x65021),f545(x65022,x65021)),f324(x65021,x65022))) % 209.33/209.63 [6539]~P125(x65391)+~P106(f335(f335(f244(x65391),f335(f107(x65391),x65392)),f2(x65391))) % 209.33/209.63 [6540]~P85(x65401)+~P106(f335(f335(f244(x65401),f335(f81(x65401),x65402)),f2(x65401))) % 209.33/209.63 [6628]P106(f335(f335(f244(a1),x66281),f50(a1,x66282,x66281)))+~P106(f335(f335(f244(a1),x66281),f2(a1))) % 209.33/209.63 [6727]E(f335(f335(f317(a927),f335(a119,x67271)),f311(a927,x67272,x67271)),f311(a927,x67272,f335(a119,x67271)))+~P106(f335(f335(f243(a927),x67272),f335(a119,x67271))) % 209.33/209.63 [6817]~P108(x68171)+P13(x68171,f157(x68171,x68171,f5(x68171),x68172)) % 209.33/209.63 [6946]E(f335(f174(x69461),x69462),x69462)+~P106(f335(f335(f243(a927),f335(f196(f928(x69461)),x69462)),f84(a927))) % 209.33/209.63 [6967]~P85(x69671)+P106(f335(f335(f243(x69671),f335(f85(x69671),f335(f81(x69671),x69672))),f2(x69671))) % 209.33/209.63 [6998]~P37(x69981,x69982)+P37(x69981,f335(f335(f297(x69981,x69981,x69981),x69982),f315(x69981,x69982))) % 209.33/209.63 [6999]~P52(x69991,x69992)+P52(x69991,f335(f335(f297(x69991,x69991,x69991),x69992),f315(x69991,x69992))) % 209.33/209.63 [7217]~P106(f335(f335(f244(a1),x72172),f2(a1)))+P106(f335(f335(f243(a1),f50(a1,x72171,x72172)),f2(a1))) % 209.33/209.63 [7616]~P146(x76161)+E(f197(x76161,f335(f335(f7(x76161,x76161,x76161),f86(x76161)),f84(x76161)),x76162,f2(x76161)),f335(f107(x76161),x76162)) % 209.33/209.63 [7644]~P127(x76441)+~P106(f335(f335(f244(x76441),f335(f335(f87(x76441),x76442),x76442)),f2(x76441))) % 209.33/209.63 [10260]~P122(x102601)+~P106(f335(f335(f244(x102601),f335(f335(f252(x102601),x102602),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))),f2(x102601))) % 209.33/209.63 [4903]~E(x49032,f120(x49031))+E(f335(f196(f928(x49031)),x49032),f2(a927)) % 209.33/209.63 [4941]~E(x49411,f2(a927))+E(f335(f335(f86(a927),x49411),x49412),x49412) % 209.33/209.63 [4942]~E(x49422,f2(a927))+E(f335(f335(f87(a927),x49421),x49422),f2(a927)) % 209.33/209.63 [4944]~E(x49441,f2(a927))+E(f335(f335(f87(a927),x49441),x49442),f2(a927)) % 209.33/209.63 [4945]~E(x49452,f2(a927))+E(f335(f335(f252(a927),x49451),x49452),f84(a927)) % 209.33/209.63 [4946]~E(x49462,f2(a1))+E(f335(f335(f41(a1),x49461),x49462),f2(a1)) % 209.33/209.63 [4957]E(x49571,f120(x49572))+~E(f335(f196(f928(x49572)),x49571),f2(a927)) % 209.33/209.63 [4959]~P95(x49591)+E(f335(f335(f87(x49591),x49592),x49592),x49592) % 209.33/209.63 [4960]~P96(x49601)+E(f335(f335(f108(x49601),x49602),x49602),x49602) % 209.33/209.63 [4962]~P101(x49621)+E(f335(f335(f108(x49621),x49622),x49622),x49622) % 209.33/209.63 [4963]~P96(x49631)+E(f335(f335(f117(x49631),x49632),x49632),x49632) % 209.33/209.63 [4965]~P102(x49651)+E(f335(f335(f117(x49651),x49652),x49652),x49652) % 209.33/209.63 [4967]~P108(x49671)+E(f335(f335(f241(x49671),x49672),x49672),x49672) % 209.33/209.63 [4969]~P108(x49691)+E(f335(f335(f242(x49691),x49692),x49692),x49692) % 209.33/209.63 [4987]~P3(x49871)+E(f335(f335(f23(x49871),x49872),x49872),f2(x49871)) % 209.33/209.63 [5001]~P90(x50011)+E(f335(f85(x50011),f335(f85(x50011),x50012)),x50012) % 209.33/209.63 [5002]~P3(x50021)+E(f335(f85(x50021),f335(f85(x50021),x50022)),x50022) % 209.33/209.63 [5019]~E(x50192,f2(a927))+E(f335(f335(f252(a927),x50191),x50192),f335(a119,f2(a927))) % 209.33/209.63 [5054]~P71(x50541)+E(f335(f335(f87(x50541),f84(x50541)),x50542),x50542) % 209.33/209.63 [5055]~P80(x50551)+E(f335(f335(f87(x50551),f84(x50551)),x50552),x50552) % 209.33/209.63 [5056]~P116(x50561)+E(f335(f335(f87(x50561),f84(x50561)),x50562),x50562) % 209.33/209.63 [5057]~P99(x50571)+E(f335(f335(f108(x50571),f250(x50571)),x50572),x50572) % 209.33/209.63 [5058]~P97(x50581)+E(f335(f335(f117(x50581),f195(x50581)),x50582),x50582) % 209.33/209.63 [5059]~P116(x50591)+E(f335(f335(f86(x50591),f2(x50591)),x50592),x50592) % 209.33/209.63 [5060]~P75(x50601)+E(f335(f335(f86(x50601),f2(x50601)),x50602),x50602) % 209.33/209.63 [5061]~P81(x50611)+E(f335(f335(f86(x50611),f2(x50611)),x50612),x50612) % 209.33/209.63 [5079]~P116(x50791)+E(f335(f335(f87(x50791),f2(x50791)),x50792),f2(x50791)) % 209.33/209.63 [5080]~P129(x50801)+E(f335(f335(f87(x50801),f2(x50801)),x50802),f2(x50801)) % 209.33/209.63 [5081]~P97(x50811)+E(f335(f335(f108(x50811),f195(x50811)),x50812),f195(x50811)) % 209.33/209.63 [5082]~P99(x50821)+E(f335(f335(f117(x50821),f250(x50821)),x50822),f250(x50821)) % 209.33/209.63 [5083]~P80(x50831)+E(f335(f335(f252(x50831),f84(x50831)),x50832),f84(x50831)) % 209.33/209.63 [5084]~P62(x50841)+E(f335(f335(f41(x50841),f2(x50841)),x50842),f2(x50841)) % 209.33/209.63 [5085]~P119(x50851)+E(f335(f335(f299(x50851),f2(x50851)),x50852),f2(x50851)) % 209.33/209.63 [5093]E(x50931,f120(x50932))+E(f151(x50932,f335(f175(x50932),x50931)),f335(f148(x50932),x50931)) % 209.33/209.63 [5094]E(x50941,f120(x50942))+E(f335(f148(x50942),f335(f175(x50942),x50941)),f151(x50942,x50941)) % 209.33/209.63 [5095]E(x50951,f2(a927))+~E(f335(f335(f86(a927),x50952),x50951),x50952) % 209.33/209.63 [5102]~P140(x51021)+E(f335(f109(x51021),f335(f107(a1),x51022)),f335(f107(x51021),x51022)) % 209.33/209.63 [5103]~P93(x51031)+E(f335(f109(x51031),f335(f110(a1),x51032)),f335(f110(x51031),x51032)) % 209.33/209.63 [5110]E(x51101,f84(a927))+~E(f335(f335(f87(a927),x51102),x51101),f84(a927)) % 209.33/209.63 [5111]E(x51111,f84(a927))+~E(f335(f335(f87(a927),x51111),x51112),f84(a927)) % 209.33/209.63 [5112]E(x51121,f2(a927))+~E(f335(f335(f86(a927),x51122),x51121),f2(a927)) % 209.33/209.63 [5113]E(x51131,f2(a927))+~E(f335(f335(f86(a927),x51131),x51132),f2(a927)) % 209.33/209.63 [5130]~P85(x51301)+E(f335(f81(x51301),f335(f85(x51301),x51302)),f335(f81(x51301),x51302)) % 209.33/209.63 [5131]~P122(x51311)+E(f335(f81(x51311),f335(f107(x51311),x51312)),f335(f107(x51311),x51312)) % 209.33/209.63 [5132]~P85(x51321)+E(f335(f81(x51321),f335(f81(x51321),x51322)),f335(f81(x51321),x51322)) % 209.33/209.63 [5133]~P75(x51331)+E(f335(f172(x51331),f335(f175(x51331),x51332)),f335(f172(x51331),x51332)) % 209.33/209.63 [5138]~E(x51381,f335(a119,f2(a927)))+E(f335(f335(f252(a927),x51381),x51382),f335(a119,f2(a927))) % 209.33/209.63 [5147]~P3(x51471)+E(f335(f335(f23(x51471),f2(x51471)),x51472),f335(f85(x51471),x51472)) % 209.33/209.63 [5148]~E(x51482,f2(a927))+E(f146(a927,f335(f310(a927,x51481),x51482)),f120(a927)) % 209.33/209.63 [5157]~P93(x51571)+E(f335(f335(f86(x51571),x51572),f335(f110(x51571),a89)),x51572) % 209.33/209.63 [5158]E(x51581,f2(a1))+E(f52(f335(f81(a1),x51582),f335(f81(a1),x51581)),f58(x51582,x51581)) % 209.33/209.63 [5174]~E(x51741,x51742)+P106(f335(f335(f243(a927),x51741),x51742)) % 209.33/209.63 [5181]~E(x51811,f2(a106))+E(f335(f335(f86(a927),f335(a20,x51811)),x51812),x51812) % 209.33/209.63 [5182]~E(f335(f110(a1),x51822),f335(f107(a1),x51821))+E(x51821,f335(a111,f335(f110(a1),x51822))) % 209.33/209.63 [5195]~P6(x51951)+P6(f335(f335(f252(a1),x51951),x51952)) % 209.33/209.63 [5196]~P90(x51961)+E(f335(f335(f108(x51961),x51962),f335(f85(x51961),x51962)),f195(x51961)) % 209.33/209.63 [5197]~P90(x51971)+E(f335(f335(f117(x51971),x51972),f335(f85(x51971),x51972)),f250(x51971)) % 209.33/209.63 [5198]~P3(x51981)+E(f335(f335(f86(x51981),x51982),f335(f85(x51981),x51982)),f2(x51981)) % 209.33/209.63 [5223]E(x52231,f2(a927))+~E(f335(f85(a1),f335(f107(a1),x52232)),f335(f107(a1),x52231)) % 209.33/209.63 [5224]E(x52241,f2(a927))+~E(f335(f85(a1),f335(f107(a1),x52241)),f335(f107(a1),x52242)) % 209.33/209.63 [5234]E(f201(x52341,x52342),f2(a1))+P106(f335(f335(f243(a1),x52342),x52341)) % 209.33/209.63 [5235]E(f185(x52351,x52352),f120(a1))+P106(f335(f335(f243(a1),x52351),x52352)) % 209.33/209.63 [5236]E(f249(x52361,x52362),f2(a106))+P106(f335(f335(f244(a106),x52361),x52362)) % 209.33/209.63 [5249]E(x52491,f335(a119,f2(a927)))+~E(f335(f335(f87(a927),x52492),x52491),f335(a119,f2(a927))) % 209.33/209.63 [5250]E(x52501,f335(a119,f2(a927)))+~E(f335(f335(f87(a927),x52501),x52502),f335(a119,f2(a927))) % 209.33/209.63 [5251]~P107(x52511)+P106(f335(f335(f243(x52511),x52512),x52512)) % 209.33/209.63 [5254]~P93(x52541)+E(f335(f335(f87(x52541),x52542),f335(f110(x52541),a104)),f335(f85(x52541),x52542)) % 209.33/209.63 [5274]~P140(x52741)+E(f335(f85(x52741),f335(f109(x52741),x52742)),f335(f109(x52741),f335(f85(a1),x52742))) % 209.33/209.63 [5275]~P93(x52751)+E(f335(f85(x52751),f335(f110(x52751),x52752)),f335(f110(x52751),f335(f85(a1),x52752))) % 209.33/209.63 [5305]~E(x53051,f335(a119,x53052))+P106(f335(f335(f244(a927),f2(a927)),x53051)) % 209.33/209.63 [5323]~P108(x53231)+E(f335(f85(f934(x53231,a922)),f335(f290(x53231),x53232)),f335(f291(x53231),x53232)) % 209.33/209.63 [5324]~P108(x53241)+E(f335(f85(f934(x53241,a922)),f335(f312(x53241),x53242)),f335(f309(x53241),x53242)) % 209.33/209.63 [5325]~P108(x53251)+E(f335(f85(f934(x53251,a922)),f335(f291(x53251),x53252)),f335(f290(x53251),x53252)) % 209.33/209.63 [5326]~P108(x53261)+E(f335(f85(f934(x53261,a922)),f335(f309(x53261),x53262)),f335(f312(x53261),x53262)) % 209.33/209.63 [5334]~E(f335(f107(a1),x53342),x53341)+P106(f335(f335(f243(a1),f2(a1)),x53341)) % 209.33/209.63 [5341]~E(x53412,f2(a1))+E(f58(x53411,x53412),f335(f335(f260(a1,a1),f2(a1)),f335(f81(a1),x53411))) % 209.33/209.63 [5343]~P1(x53431)+P106(f335(f335(f243(x53431),f195(x53431)),x53432)) % 209.33/209.63 [5344]~P116(x53441)+P106(f335(f335(f295(x53441),f84(x53441)),x53442)) % 209.33/209.63 [5377]E(x53771,x53772)+~E(f335(f335(f86(a1),x53771),x53771),f335(f335(f86(a1),x53772),x53772)) % 209.33/209.63 [5381]~P106(f335(x53811,x53812))+P106(f335(x53811,f335(a111,f437(x53811)))) % 209.33/209.63 [5407]~P122(x54071)+E(f335(f335(f87(x54071),f88(x54071,x54072)),f335(f81(x54071),x54072)),x54072) % 209.33/209.63 [5414]~E(x54142,f2(a927))+E(f91(f933(a927,a927),f53(x54141,x54142)),f335(f335(f260(a927,a927),f2(a927)),x54141)) % 209.33/209.63 [5419]~E(x54191,x54192)+~P106(f335(f335(f244(a927),x54191),x54192)) % 209.33/209.63 [5420]~E(x54201,x54202)+~P106(f335(f335(f244(a1),x54201),x54202)) % 209.33/209.63 [5423]~P146(x54231)+E(f335(f335(f86(x54231),f84(x54231)),f335(f107(x54231),x54232)),f335(f107(x54231),f335(a119,x54232))) % 209.33/209.63 [5427]~E(x54271,f2(a927))+~P106(f335(f335(f244(a927),x54272),x54271)) % 209.33/209.63 [5441]E(f159(x54411,x54412),x54412)+~E(f335(f196(f928(x54411)),f159(x54411,x54412)),f335(f196(f928(x54411)),x54412)) % 209.33/209.63 [5442]E(f335(f40(x54421),f335(f179(x54421),x54422)),f335(f196(f928(x54421)),x54422))+~P106(f335(f144(x54421),x54422)) % 209.33/209.63 [5456]~P106(f335(x54561,f424(x54561)))+P106(f335(x54561,f335(f107(a1),x54562))) % 209.33/209.63 [5467]E(f249(x54671,x54672),x54672)+~P106(f335(f335(f244(a106),x54671),x54672)) % 209.33/209.63 [5469]E(f280(x54691,x54692),f84(a106))+~P106(f335(f335(f244(a106),x54692),x54691)) % 209.33/209.63 [5470]E(f185(x54701,x54702),f120(a1))+~P106(f335(f335(f244(a1),x54702),x54701)) % 209.33/209.63 [5471]E(f135(x54711,x54712),f122(a1))+~P106(f335(f335(f244(a1),x54711),x54712)) % 209.33/209.63 [5473]~P110(x54731)+E(f311(x54731,x54732,x54732),f335(f335(f317(x54731),x54732),f195(f934(x54731,a922)))) % 209.33/209.63 [5493]~E(f335(f335(f23(a927),x54931),x54932),f2(a927))+P106(f335(f335(f243(a927),x54931),x54932)) % 209.33/209.63 [5516]~E(x55162,f2(a927))+E(f60(x55161,x55162,f120(x55161)),f335(f335(f158(f928(x55161)),f120(x55161)),f120(f928(x55161)))) % 209.33/209.63 [5520]~P107(x55201)+~P106(f335(f335(f244(x55201),x55202),x55202)) % 209.33/209.63 [5522]~E(f50(a1,x55221,x55222),f2(a1))+E(f50(a1,x55221,f335(f85(a1),x55222)),f2(a1)) % 209.33/209.63 [5524]~E(f50(a1,x55241,x55242),f2(a1))+E(f50(a1,f335(f85(a1),x55241),x55242),f2(a1)) % 209.33/209.63 [5531]E(f335(f310(a927,x55311),f335(a119,x55312)),f195(f934(a927,a922)))+P106(f335(f335(f243(a927),x55311),x55312)) % 209.33/209.63 [5554]E(f146(a927,f335(f310(a927,x55541),x55542)),f120(a927))+P106(f335(f335(f244(a927),x55541),x55542)) % 209.33/209.63 [5559]~E(f335(f40(x55591),f335(f179(x55591),x55592)),f335(f196(f928(x55591)),x55592))+P106(f335(f144(x55591),x55592)) % 209.33/209.63 [5563]~P106(f335(f144(x55631),x55632))+P106(f335(f144(x55631),f335(f174(x55631),x55632))) % 209.33/209.63 [5564]~P106(f335(f144(x55641),x55642))+P106(f335(f144(x55641),f335(f178(x55641),x55642))) % 209.33/209.63 [5565]~P106(f335(f144(x55651),x55652))+P106(f335(f144(x55651),f335(f175(x55651),x55652))) % 209.33/209.63 [5573]P106(f335(x55731,x55732))+~P106(f335(x55731,f335(a111,f438(x55731)))) % 209.33/209.63 [5574]P106(f335(f335(f243(a927),x55742),x55741))+P106(f335(f335(f243(a927),x55741),x55742)) % 209.33/209.63 [5575]P106(f335(f335(f243(a1),x55752),x55751))+P106(f335(f335(f243(a1),x55751),x55752)) % 209.33/209.63 [5579]~P85(x55791)+P106(f335(f335(f243(x55791),x55792),f335(f81(x55791),x55792))) % 209.33/209.63 [5582]P106(f335(x55821,f425(x55821)))+~P106(f335(x55821,f335(f107(a1),x55822))) % 209.33/209.63 [5606]E(f335(f335(f23(a927),x56061),x56062),f2(a927))+~P106(f335(f335(f243(a927),x56061),x56062)) % 209.33/209.63 [5607]E(f335(f335(f41(a927),x56071),x56072),f2(a927))+~P106(f335(f335(f244(a927),x56071),x56072)) % 209.33/209.63 [5625]E(f50(a927,x56251,x56252),x56251)+~P106(f335(f335(f244(a927),x56251),x56252)) % 209.33/209.63 [5633]E(f50(a1,x56331,f335(f85(a1),x56332)),f300(x56331,x56332))+P106(f335(f335(f243(a1),f2(a1)),x56332)) % 209.33/209.63 [5645]E(f335(f335(f23(a1),x56451),x56452),f201(x56451,x56452))+~P106(f335(f335(f243(a1),x56452),x56451)) % 209.33/209.63 [5665]P106(f335(f335(f243(a1),f2(a1)),f424(x56651)))+P106(f335(x56651,f335(f107(a1),x56652))) % 209.33/209.63 [5678]~P125(x56781)+P106(f335(f335(f243(x56781),f2(x56781)),f335(f107(x56781),x56782))) % 209.33/209.63 [5679]~P85(x56791)+P106(f335(f335(f243(x56791),f2(x56791)),f335(f81(x56791),x56792))) % 209.33/209.63 [5707]E(f335(f335(f86(a927),x57071),f374(x57072,x57071)),x57072)+~P106(f335(f335(f243(a927),x57071),x57072)) % 209.33/209.63 [5719]~E(f335(f110(a1),x57191),f335(f107(a1),x57192))+P106(f335(f335(f243(a1),f2(a1)),f335(f110(a1),x57191))) % 209.33/209.63 [5722]E(f311(a1,x57221,x57222),f195(f934(a1,a922)))+~P106(f335(f335(f244(a1),x57222),x57221)) % 209.33/209.63 [5725]~P122(x57251)+E(f335(f335(f87(x57251),f335(f81(x57251),x57252)),f335(f81(x57251),x57252)),f335(f335(f87(x57251),x57252),x57252)) % 209.33/209.63 [5730]E(f146(a927,f335(f310(a927,x57301),f335(a119,x57302))),f120(a927))+P106(f335(f335(f243(a927),x57301),x57302)) % 209.33/209.63 [5734]E(f335(f335(f41(a1),x57341),x57342),f301(x57341,x57342))+~P106(f335(f335(f243(a1),f2(a1)),x57342)) % 209.33/209.63 [5754]P106(f335(f144(x57541),x57542))+~P106(f335(f144(x57541),f335(f174(x57541),x57542))) % 209.33/209.63 [5755]P106(f335(f144(x57551),x57552))+~P106(f335(f144(x57551),f335(f175(x57551),x57552))) % 209.33/209.63 [5780]P106(f335(f66(a927),x57801))+P106(f335(f335(f337(a927),f342(x57801,x57802)),x57801)) % 209.33/209.63 [5781]P106(f335(f66(a927),x57811))+P106(f335(f335(f337(a927),f349(x57811,x57812)),x57811)) % 209.33/209.63 [5784]P106(f335(f335(f244(a927),x57842),f335(a119,x57841)))+P106(f335(f335(f244(a927),x57841),x57842)) % 209.33/209.63 [5785]E(f50(a1,x57851,x57852),f300(x57851,x57852))+~P106(f335(f335(f243(a1),f2(a1)),x57852)) % 209.33/209.63 [5788]E(f146(a927,f335(f310(a927,x57881),x57882)),f120(a927))+~P106(f335(f335(f243(a927),x57882),x57881)) % 209.33/209.63 [5789]~P78(x57891)+E(f335(f318(x57891,x57891,f85(x57891)),f335(f290(x57891),x57892)),f335(f312(x57891),f335(f85(x57891),x57892))) % 209.33/209.63 [5790]~P78(x57901)+E(f335(f318(x57901,x57901,f85(x57901)),f335(f312(x57901),x57902)),f335(f290(x57901),f335(f85(x57901),x57902))) % 209.33/209.63 [5791]~P78(x57911)+E(f335(f318(x57911,x57911,f85(x57911)),f335(f291(x57911),x57912)),f335(f309(x57911),f335(f85(x57911),x57912))) % 209.33/209.63 [5792]~P78(x57921)+E(f335(f318(x57921,x57921,f85(x57921)),f335(f309(x57921),x57922)),f335(f291(x57921),f335(f85(x57921),x57922))) % 209.33/209.63 [5803]E(x58031,f195(f934(x58032,a922)))+P106(f335(f335(f337(x58032),f390(x58031,x58032)),x58031)) % 209.33/209.63 [5804]E(x58041,f195(f934(x58042,a922)))+P106(f335(f335(f337(x58042),f382(x58041,x58042)),x58041)) % 209.33/209.63 [5815]~P106(f335(f335(f244(a927),x58151),x58152))+P106(f335(f335(f243(a927),x58151),x58152)) % 209.33/209.63 [5816]~P106(f335(f335(f244(a1),x58161),x58162))+P106(f335(f335(f243(a1),x58161),x58162)) % 209.33/209.63 [5832]E(f52(x58321,x58322),f335(f335(f260(a1,a1),f2(a1)),x58321))+~P106(f335(f335(f244(a1),x58321),x58322)) % 209.33/209.63 [5834]E(f224(f335(f85(a1),x58341),f335(f85(a1),x58342)),f224(x58341,x58342))+~P106(f335(f335(f244(a1),x58342),f2(a1))) % 209.33/209.63 [5845]E(x58451,x58452)+~E(f335(a3,f335(a119,f335(a20,x58451))),f335(a3,f335(a119,f335(a20,x58452)))) % 209.33/209.63 [5850]E(f52(x58501,x58502),f335(f335(f260(a1,a1),f2(a1)),x58501))+~P106(f335(f335(f243(a1),x58502),f2(a1))) % 209.33/209.63 [5879]E(f50(a927,f335(f110(a927),x58791),f335(f110(a927),x58792)),f2(a927))+~P106(f335(a200,f335(f110(a1),x58791))) % 209.33/209.63 [5893]P106(f335(f335(f243(a1),f2(a1)),f425(x58931)))+~P106(f335(x58931,f335(f107(a1),x58932))) % 209.33/209.63 [5926]P40(f311(a1,x59261,x59262))+~P106(f335(f335(f243(a1),f2(a1)),x59261)) % 209.33/209.63 [5931]~P106(f335(f66(x59311),x59312))+P106(f335(f66(f934(x59311,a922)),f335(f316(x59311),x59312))) % 209.33/209.63 [5944]E(f335(f335(f86(a1),x59441),f335(f107(a1),f426(x59442,x59441))),x59442)+~P106(f335(f335(f243(a1),x59441),x59442)) % 209.33/209.63 [5952]P106(f335(f335(f243(a927),x59521),x59522))+P106(f335(f335(f243(a927),f335(a119,x59522)),x59521)) % 209.33/209.63 [5996]E(f335(f335(f41(a927),f335(f110(a927),x59961)),f335(f110(a927),x59962)),f2(a927))+~P106(f335(a200,f335(f110(a1),x59961))) % 209.33/209.63 [5997]E(f335(f335(f87(a927),f335(f110(a927),x59971)),f335(f110(a927),x59972)),f2(a927))+~P106(f335(f335(f244(a1),x59971),a89)) % 209.33/209.63 [5999]P106(f335(f335(f243(a927),x59991),f335(a119,x59992)))+~P106(f335(f335(f243(a927),x59991),x59992)) % 209.33/209.63 [6001]P106(f335(f335(f244(a927),x60011),f335(a119,x60012)))+~P106(f335(f335(f243(a927),x60011),x60012)) % 209.33/209.63 [6003]P106(f335(f335(f244(a927),x60031),f335(a119,x60032)))+~P106(f335(f335(f244(a927),x60031),x60032)) % 209.33/209.63 [6006]~E(x60061,x60062)+P106(f335(f335(f244(a1),x60061),f335(f335(f86(a1),x60062),f84(a1)))) % 209.33/209.63 [6009]E(f50(a1,x60091,x60092),f2(a1))+E(f335(f335(f23(a1),x60092),f50(a1,x60091,x60092)),f50(a1,f335(f85(a1),x60091),x60092)) % 209.33/209.63 [6018]E(x60181,f120(x60182))+P106(f335(f335(f337(x60182),f151(x60182,x60181)),f335(f179(x60182),x60181))) % 209.33/209.63 [6030]E(f91(f933(a927,a927),f53(x60301,x60302)),f335(f335(f260(a927,a927),f2(a927)),x60301))+~P106(f335(f335(f244(a927),x60301),x60302)) % 209.33/209.63 [6065]E(f335(f335(f23(a927),f335(f110(a927),x60651)),f335(f110(a927),x60652)),f335(f110(a927),x60651))+~P106(f335(f335(f244(a1),x60652),a89)) % 209.33/209.63 [6066]E(f335(f335(f86(a927),f335(f110(a927),x60661)),f335(f110(a927),x60662)),f335(f110(a927),x60662))+~P106(f335(f335(f244(a1),x60661),a89)) % 209.33/209.63 [6073]E(f335(a119,f335(f335(f86(a927),x60731),f383(x60732,x60731))),x60732)+~P106(f335(f335(f244(a927),x60731),x60732)) % 209.33/209.63 [6097]P106(f335(x60971,x60972))+~P106(f335(x60971,f335(a95,f544(x60972,x60971)))) % 209.33/209.63 [6098]P106(f335(x60981,x60982))+~P106(f335(x60981,f335(a3,f844(x60982,x60981)))) % 209.33/209.63 [6107]~P106(f335(f335(f244(a927),x61071),f335(a119,x61072)))+P106(f335(f335(f243(a927),x61071),x61072)) % 209.33/209.63 [6153]E(f335(f335(f317(a927),x61531),f335(f310(a927,x61532),x61531)),f335(f310(a927,x61532),f335(a119,x61531)))+~P106(f335(f335(f243(a927),x61532),x61531)) % 209.33/209.63 [6155]E(x61551,f120(x61552))+E(f335(f335(f141(x61552),f121(x61552,x61551)),f335(f335(f158(x61552),f151(x61552,x61551)),f120(x61552))),x61551) % 209.33/209.63 [6172]P106(f335(f66(x61721),x61722))+~P106(f335(f335(f244(a927),f2(a927)),f335(f40(x61721),x61722))) % 209.33/209.63 [6175]~E(x61751,f195(f934(x61752,a922)))+~P106(f335(f335(f244(a927),f2(a927)),f335(f40(x61752),x61751))) % 209.33/209.63 [6187]~P106(f335(f335(f244(a927),x61871),x61872))+P106(f335(f335(f243(a927),f335(a119,x61871)),x61872)) % 209.33/209.63 [6191]~P108(x61911)+E(f157(x61911,x61911,f5(x61911),f159(x61911,x61912)),f146(x61911,f335(f179(x61911),x61912))) % 209.33/209.63 [6194]E(x61941,f120(x61942))+P106(f335(f335(f337(x61942),f335(f148(x61942),x61941)),f335(f179(x61942),x61941))) % 209.33/209.63 [6200]~P125(x62001)+P106(f335(f335(f244(x62001),x62002),f335(f335(f86(x62001),x62002),f84(x62001)))) % 209.33/209.63 [6202]~P85(x62021)+P106(f335(f335(f243(x62021),f335(f85(x62021),x62022)),f335(f81(x62021),x62022))) % 209.33/209.63 [6216]~E(x62161,x62162)+E(f298(a927,f295(a927),x62161,x62162),f335(f335(f317(a927),x62161),f195(f934(a927,a922)))) % 209.33/209.63 [6234]P106(f335(f66(a927),x62341))+~P106(f335(f335(f243(a927),f349(x62341,x62342)),x62342)) % 209.33/209.63 [6235]P106(f335(f66(a927),x62351))+~P106(f335(f335(f244(a927),f342(x62351,x62352)),x62352)) % 209.33/209.63 [6238]~P106(f335(f66(f933(x62381,x62381)),x62382))+P106(f335(f66(x62381),f335(f289(x62381),x62382))) % 209.33/209.63 [6292]E(f298(a927,f295(a927),x62921,x62922),f195(f934(a927,a922)))+P106(f335(f335(f295(a927),x62921),x62922)) % 209.33/209.63 [6295]~P106(f335(f335(f244(a927),x62952),f335(a119,x62951)))+~P106(f335(f335(f244(a927),x62951),x62952)) % 209.33/209.63 [6296]~P110(x62961)+E(f335(f335(f108(f934(x62961,a922)),f335(f309(x62961),x62962)),f335(f291(x62961),x62962)),f335(f335(f317(x62961),x62962),f195(f934(x62961,a922)))) % 209.33/209.63 [6308]P106(f335(f66(x63081),x63082))+~P106(f335(f66(f934(x63081,a922)),f335(f316(x63081),x63082))) % 209.33/209.63 [6330]P106(f335(f335(f243(a927),f335(a119,x63301)),f335(a119,x63302)))+~P106(f335(f335(f243(a927),x63301),x63302)) % 209.33/209.63 [6331]P106(f335(f335(f243(a927),f335(a20,x63311)),f335(a20,x63312)))+~P106(f335(f335(f243(a106),x63311),x63312)) % 209.33/209.63 [6332]P106(f335(f335(f243(a106),f335(a3,x63321)),f335(a3,x63322)))+~P106(f335(f335(f243(a927),x63321),x63322)) % 209.33/209.63 [6334]P106(f335(f335(f244(a927),f335(a119,x63341)),f335(a119,x63342)))+~P106(f335(f335(f244(a927),x63341),x63342)) % 209.33/209.63 [6335]P106(f335(f335(f244(a927),f335(a20,x63351)),f335(a20,x63352)))+~P106(f335(f335(f244(a106),x63351),x63352)) % 209.33/209.63 [6336]P106(f335(f335(f244(a106),f335(a3,x63361)),f335(a3,x63362)))+~P106(f335(f335(f244(a927),x63361),x63362)) % 209.33/209.63 [6341]E(x63411,x63412)+~E(f335(f318(a927,a1,f107(a1)),x63411),f335(f318(a927,a1,f107(a1)),x63412)) % 209.33/209.63 [6357]P106(f335(f335(f243(a927),x63571),x63572))+~P106(f335(f335(f243(a927),f335(a119,x63571)),x63572)) % 209.33/209.63 [6360]P106(f335(f335(f244(a927),x63601),x63602))+~P106(f335(f335(f243(a927),f335(a119,x63601)),x63602)) % 209.33/209.63 [6361]P106(f335(f335(f244(a927),x63611),x63612))+~P106(f335(f335(f244(a927),f335(a119,x63611)),x63612)) % 209.33/209.63 [6379]E(f50(a1,x63791,x63792),f2(a1))+E(f335(f335(f23(a1),f50(a1,x63791,x63792)),x63792),f50(a1,x63791,f335(f85(a1),x63792))) % 209.33/209.63 [6444]E(f335(f40(f934(x64441,a922)),f335(f316(x64441),x64442)),f335(f335(f252(a927),f335(a119,f335(a119,f2(a927)))),f335(f40(x64441),x64442)))+~P106(f335(f66(x64441),x64442)) % 209.33/209.63 [6447]E(x64471,f120(x64472))+E(f335(f335(f171(x64472),x64471),f335(f335(f23(a927),f335(f196(f928(x64472)),x64471)),f84(a927))),f151(x64472,x64471)) % 209.33/209.63 [6469]E(x64691,f120(x64692))+E(f335(f335(f141(x64692),f335(f178(x64692),x64691)),f335(f335(f158(x64692),f335(f148(x64692),x64691)),f120(x64692))),f335(f174(x64692),x64691)) % 209.33/209.63 [6499]~P106(f335(f66(x64991),f42(f934(x64991,a922),x64992)))+P106(f335(f66(f934(x64991,a922)),x64992)) % 209.33/209.63 [6521]P106(f335(f335(f243(a927),f335(f110(a927),x65211)),f335(f110(a927),x65212)))+~P106(f335(f335(f243(a1),x65211),a89)) % 209.33/209.63 [6541]~P106(f335(f335(f244(a1),x65411),x65412))+P106(f335(f335(f243(a1),x65411),f335(f335(f23(a1),x65412),f84(a1)))) % 209.33/209.63 [6542]~P106(f335(f335(f243(a1),x65421),x65422))+P106(f335(f335(f244(a1),x65421),f335(f335(f86(a1),x65422),f84(a1)))) % 209.33/209.63 [6543]~P106(f335(f335(f244(a1),x65431),x65432))+P106(f335(f335(f244(a1),x65431),f335(f335(f86(a1),x65432),f84(a1)))) % 209.33/209.63 [6545]~P106(f335(f335(f243(a1),x65451),x65452))+P106(f335(f335(f243(a927),f335(f110(a927),x65451)),f335(f110(a927),x65452))) % 209.33/209.63 [6547]~P106(f335(f335(f243(a927),x65471),x65472))+P106(f335(f335(f243(a1),f335(f107(a1),x65471)),f335(f107(a1),x65472))) % 209.33/209.63 [6548]~P106(f335(f335(f243(a1),x65481),x65482))+P106(f335(f335(f243(a1),f335(f110(a1),x65481)),f335(f110(a1),x65482))) % 209.33/209.63 [6550]~P106(f335(f335(f244(a927),x65501),x65502))+P106(f335(f335(f244(a1),f335(f107(a1),x65501)),f335(f107(a1),x65502))) % 209.33/209.63 [6551]~P106(f335(f335(f244(a1),x65511),x65512))+P106(f335(f335(f244(a1),f335(f110(a1),x65511)),f335(f110(a1),x65512))) % 209.33/209.63 [6571]~P106(f335(f335(f243(a927),x65711),x65712))+~P106(f335(f335(f243(a927),f335(a119,x65712)),x65711)) % 209.33/209.63 [6613]~P106(f335(f335(f243(a927),f335(a119,x66131)),f335(a119,x66132)))+P106(f335(f335(f243(a927),x66131),x66132)) % 209.33/209.63 [6614]~P106(f335(f335(f243(a106),f335(a3,x66141)),f335(a3,x66142)))+P106(f335(f335(f243(a927),x66141),x66142)) % 209.33/209.63 [6615]~P106(f335(f335(f243(a927),f335(a20,x66151)),f335(a20,x66152)))+P106(f335(f335(f243(a106),x66151),x66152)) % 209.33/209.63 [6617]~P106(f335(f335(f244(a927),f335(a119,x66171)),f335(a119,x66172)))+P106(f335(f335(f244(a927),x66171),x66172)) % 209.33/209.63 [6618]~P106(f335(f335(f244(a106),f335(a3,x66181)),f335(a3,x66182)))+P106(f335(f335(f244(a927),x66181),x66182)) % 209.33/209.63 [6619]~P106(f335(f335(f244(a927),f335(a111,x66191)),f335(a111,x66192)))+P106(f335(f335(f244(a1),x66191),x66192)) % 209.33/209.63 [6620]~P106(f335(f335(f244(a927),f335(a20,x66201)),f335(a20,x66202)))+P106(f335(f335(f244(a106),x66201),x66202)) % 209.33/209.63 [6660]~P106(f335(f335(f244(a927),f335(a111,x66602)),f335(a111,x66601)))+P106(f335(f335(f244(a1),f2(a1)),x66601)) % 209.33/209.63 [6692]P106(f335(f335(f243(a1),f2(a1)),f50(a1,x66921,x66922)))+~P106(f335(f335(f244(a1),f2(a1)),x66922)) % 209.33/209.63 [6851]P37(x68511,x68512)+~E(f335(f335(f297(x68511,x68511,x68511),x68512),x68512),f195(f934(f933(x68511,x68511),a922))) % 209.33/209.63 [6865]~P37(x68651,x68652)+P37(x68651,f335(f335(f297(x68651,x68651,x68651),x68652),x68652)) % 209.33/209.63 [6876]P106(f335(f335(f243(a1),x68761),x68762))+~P106(f335(f335(f244(a1),x68761),f335(f335(f86(a1),x68762),f84(a1)))) % 209.33/209.63 [6877]P106(f335(f335(f244(a1),x68771),x68772))+~P106(f335(f335(f243(a1),x68771),f335(f335(f23(a1),x68772),f84(a1)))) % 209.33/209.63 [6880]P106(f335(f335(f243(a927),x68801),x68802))+~P106(f335(f335(f243(a1),f335(f107(a1),x68801)),f335(f107(a1),x68802))) % 209.33/209.63 [6881]P106(f335(f335(f243(a1),x68811),x68812))+~P106(f335(f335(f243(a1),f335(f110(a1),x68811)),f335(f110(a1),x68812))) % 209.33/209.63 [6883]P106(f335(f335(f244(a927),x68831),x68832))+~P106(f335(f335(f244(a1),f335(f107(a1),x68831)),f335(f107(a1),x68832))) % 209.33/209.63 [6884]P106(f335(f335(f244(a1),x68841),x68842))+~P106(f335(f335(f244(a927),f335(f110(a927),x68841)),f335(f110(a927),x68842))) % 209.33/209.63 [6885]P106(f335(f335(f244(a1),x68851),x68852))+~P106(f335(f335(f244(a1),f335(f110(a1),x68851)),f335(f110(a1),x68852))) % 209.33/209.63 [6957]~E(f298(a927,f295(a927),x69571,x69572),f195(f934(a927,a922)))+~P106(f335(f335(f295(a927),x69571),x69572)) % 209.33/209.63 [6980]~E(f720(x69802,x69801),f120(x69801))+E(f335(f149(f928(x69801),f928(x69801),f141(x69801),f120(x69801)),x69802),f120(x69801)) % 209.33/209.63 [6981]~E(f725(x69812,x69811),f120(x69811))+E(f335(f149(f928(x69811),f928(x69811),f141(x69811),f120(x69811)),x69812),f120(x69811)) % 209.33/209.63 [6985]~P5(x69851)+E(f335(f149(x69851,x69851,f108(x69851),f250(x69851)),x69852),f43(x69851,f335(f179(x69851),x69852))) % 209.33/209.63 [6986]~P5(x69861)+E(f335(f149(x69861,x69861,f117(x69861),f195(x69861)),x69862),f42(x69861,f335(f179(x69861),x69862))) % 209.33/209.63 [7000]E(x70001,f2(a106))+E(f335(f335(f86(a927),f335(a20,f335(f335(f23(a106),x70001),f84(a106)))),f335(a119,x70002)),f335(f335(f86(a927),f335(a20,x70001)),x70002)) % 209.33/209.63 [7049]P106(f335(f335(f244(a1),f335(f335(f23(a1),x70491),x70492)),f2(a1)))+~P106(f335(f335(f244(a1),x70491),x70492)) % 209.33/209.63 [7074]~P108(x70741)+E(f335(f335(f117(f934(x70741,a922)),f335(f335(f317(x70741),x70742),f195(f934(x70741,a922)))),f335(f312(x70741),x70742)),f335(f291(x70741),x70742)) % 209.33/209.63 [7146]~P60(x71461,x71462)+P37(x71461,f335(f270(f933(x71461,x71461)),f335(f265(x71461,x71461,a922),x71462))) % 209.33/209.63 [7147]~P60(x71471,x71472)+P58(x71471,f335(f270(f933(x71471,x71471)),f335(f265(x71471,x71471,a922),x71472))) % 209.33/209.63 [7148]~P50(x71481,x71482)+P38(x71481,f335(f270(f933(x71481,x71481)),f335(f265(x71481,x71481,a922),x71482))) % 209.33/209.63 [7149]~P51(x71491,x71492)+P52(x71491,f335(f270(f933(x71491,x71491)),f335(f265(x71491,x71491,a922),x71492))) % 209.33/209.63 [7150]E(x71501,f195(f934(x71502,a922)))+~P106(f335(f335(f243(f934(x71502,a922)),x71501),f195(f934(x71502,a922)))) % 209.33/209.63 [7232]~P106(f335(f335(f244(a927),f2(a927)),x72322))+P106(f335(f335(f243(a927),f50(a927,x72321,x72322)),x72322)) % 209.33/209.63 [7233]~P106(f335(f335(f243(a1),f2(a1)),x72331))+P106(f335(f335(f243(a1),f50(a1,x72331,x72332)),x72331)) % 209.33/209.63 [7234]~P106(f335(f335(f244(a927),f2(a927)),x72342))+P106(f335(f335(f244(a927),f50(a927,x72341,x72342)),x72342)) % 209.33/209.63 [7236]~P106(f335(f335(f244(a1),f2(a1)),x72362))+P106(f335(f335(f244(a1),f50(a1,x72361,x72362)),x72362)) % 209.33/209.63 [7312]~P110(x73121)+E(f335(f335(f23(f934(x73121,a922)),f335(f335(f317(x73121),x73122),f195(f934(x73121,a922)))),f335(f290(x73121),x73122)),f335(f335(f317(x73121),x73122),f195(f934(x73121,a922)))) % 209.33/209.63 [7385]~P48(x73851,x73852)+P53(x73851,f250(f934(x73851,a922)),f335(f270(f933(x73851,x73851)),f335(f265(x73851,x73851,a922),x73852))) % 209.33/209.63 [7386]P106(f335(x73861,x73862))+P106(f335(f335(f337(f934(f933(a927,a927),a922)),f544(x73862,x73861)),a105)) % 209.33/209.63 [7430]E(f335(f335(f141(a927),f146(a927,f335(f310(a927,x74301),x74302))),f335(f335(f158(a927),x74302),f120(a927))),f146(a927,f335(f310(a927,x74301),f335(a119,x74302))))+~P106(f335(f335(f243(a927),x74301),x74302)) % 209.33/209.63 [7584]E(x75841,f2(a927))+~E(f335(f149(a927,a927,f86(a927),x75841),x75842),f2(a927)) % 209.33/209.63 [7608]~P106(f335(f335(f244(a1),f335(f335(f23(a1),x76081),x76082)),f2(a1)))+P106(f335(f335(f244(a1),x76081),x76082)) % 209.33/209.63 [7635]P37(x76351,x76352)+~P37(x76351,f335(f335(f297(x76351,x76351,x76351),x76352),x76352)) % 209.33/209.63 [7661]~P106(f335(f335(f243(a927),f335(a119,x76611)),x76612))+P106(f192(a922,a247,f335(f243(a927),x76611),x76612)) % 209.33/209.63 [7812]P25(a927,a927,f335(f335(f7(a927,a927,a927),f23(a927)),x78121),x78122)+P106(f335(f335(f337(a927),f590(x78121,x78122)),x78122)) % 209.33/209.63 [7868]E(f335(f335(f335(f70(a927,x78681,f86(a927)),f335(f16(a927,x78681),f84(a927))),f2(a927)),x78682),f335(f40(x78681),x78682))+~P106(f335(f66(x78681),x78682)) % 209.33/209.63 [7909]P25(a927,a927,f335(f335(f7(a927,a927,a927),f23(a927)),x79091),x79092)+~P106(f335(f335(f243(a927),x79091),f590(x79091,x79092))) % 209.33/209.63 [7964]P37(x79641,x79642)+P106(f335(f335(f243(f934(x79641,a922)),f840(x79642,x79641)),f335(f293(x79641,x79641,x79642),f840(x79642,x79641)))) % 209.33/209.63 [7969]P60(x79691,x79692)+~P37(x79691,f335(f270(f933(x79691,x79691)),f335(f265(x79691,x79691,a922),x79692))) % 209.33/209.63 [7970]P50(x79701,x79702)+~P38(x79701,f335(f270(f933(x79701,x79701)),f335(f265(x79701,x79701,a922),x79702))) % 209.33/209.63 [7971]P51(x79711,x79712)+~P52(x79711,f335(f270(f933(x79711,x79711)),f335(f265(x79711,x79711,a922),x79712))) % 209.33/209.63 [8037]P106(f335(f335(f243(a927),f335(a119,x80371)),x80372))+~P106(f192(a922,a247,f335(f243(a927),x80371),x80372)) % 209.33/209.63 [8092]P106(f335(f335(f337(f933(a927,a927)),f335(f335(f260(a927,a927),x80921),x80922)),f315(a927,a325)))+~P106(f335(f335(f243(a927),x80921),x80922)) % 209.33/209.63 [8188]P48(x81881,x81882)+~P53(x81881,f250(f934(x81881,a922)),f335(f270(f933(x81881,x81881)),f335(f265(x81881,x81881,a922),x81882))) % 209.33/209.63 [8243]~P106(f335(f144(x82431),x82432))+P106(f335(f144(f934(x82431,a922)),f335(f335(f161(f928(x82431),f934(x82431,a922)),f179(x82431)),f59(x82431,x82432)))) % 209.33/209.63 [8439]~P37(x84391,f335(f294(x84391,x84391),x84392))+P37(x84391,f335(f294(x84391,x84391),f335(f335(f297(x84391,x84391,x84391),x84392),f315(x84391,x84392)))) % 209.33/209.63 [8539]P26(x85391,a927,f604(x85392,x85391),x85392,f335(f310(a927,f2(a927)),f335(f40(x85391),x85392)))+~P106(f335(f66(x85391),x85392)) % 209.33/209.63 [8540]P26(a927,x85401,f593(x85402,x85401),f335(f310(a927,f2(a927)),f335(f40(x85401),x85402)),x85402)+~P106(f335(f66(x85401),x85402)) % 209.33/209.63 [8557]P26(a927,x85571,f591(x85572,x85571),f311(a927,f84(a927),f335(f40(x85571),x85572)),x85572)+~P106(f335(f66(x85571),x85572)) % 209.33/209.63 [8566]P106(f335(f66(f933(x85661,x85661)),f335(f335(f297(x85661,x85661,x85661),x85662),f315(x85661,x85662))))+~P106(f335(f66(f933(x85661,x85661)),x85662)) % 209.33/209.63 [8593]E(x85931,f2(a1))+P106(f335(f54(x85932,x85931),f335(f335(f260(a1,a1),f335(f335(f41(a1),x85932),x85931)),f50(a1,x85932,x85931)))) % 209.33/209.63 [8607]~P106(f335(f335(f337(f933(a927,a927)),f335(f335(f260(a927,a927),x86071),x86072)),f315(a927,a325)))+P106(f335(f335(f243(a927),x86071),x86072)) % 209.33/209.63 [8623]~P81(x86231)+E(f335(f149(x86231,x86231,f335(f7(x86231,x86231,x86231),f86(x86231)),f2(x86231)),f335(f175(x86231),x86232)),f335(f149(x86231,x86231,f86(x86231),f2(x86231)),x86232)) % 209.33/209.63 [8794]~P108(x87941)+E(f335(f149(f928(x87941),x87941,f335(f7(x87941,f928(x87941),f928(x87941)),f155(x87941,x87941,f5(x87941))),f120(x87941)),x87942),f157(x87941,x87941,f5(x87941),x87942)) % 209.33/209.63 [8905]~P58(x89051,f335(f270(f933(x89051,x89051)),f335(f265(x89051,x89051,a922),x89052)))+P58(x89051,f335(f270(f933(x89051,x89051)),f335(f265(x89051,x89051,a922),f251(x89051,x89051,x89052)))) % 209.33/209.63 [8919]P106(f335(f335(f337(f933(a927,a927)),f335(f335(f260(a927,a927),x89191),x89192)),f335(f335(f297(a927,a927,a927),a325),f315(a927,a325))))+~P106(f335(f335(f244(a927),x89191),x89192)) % 209.33/209.63 [8965]~P106(f335(f66(f933(x89651,x89651)),f335(f335(f297(x89651,x89651,x89651),x89652),f315(x89651,x89652))))+P106(f335(f66(f933(x89651,x89651)),x89652)) % 209.33/209.63 [9023]~P58(x90231,f335(f270(f933(x90231,x90231)),f335(f265(x90231,x90231,a922),f251(x90231,x90231,x90232))))+P58(x90231,f335(f270(f933(x90231,x90231)),f335(f265(x90231,x90231,a922),x90232))) % 209.33/209.63 [9224]P58(x92241,x92242)+P106(f335(f335(f337(f933(x92241,x92241)),f335(f335(f260(x92241,x92241),f618(x92242,x92241)),f618(x92242,x92241))),f335(f335(f297(x92241,x92241,x92241),x92242),f315(x92241,x92242)))) % 209.33/209.63 [9225]P58(x92251,x92252)+P106(f335(f335(f337(f933(x92251,x92251)),f335(f335(f260(x92251,x92251),f620(x92252,x92251)),f620(x92252,x92251))),f335(f335(f297(x92251,x92251,x92251),x92252),f315(x92251,x92252)))) % 209.33/209.63 [9343]~P106(f335(f335(f337(f933(a927,a927)),f335(f335(f260(a927,a927),x93431),x93432)),f335(f335(f297(a927,a927,a927),a325),f315(a927,a325))))+P106(f335(f335(f244(a927),x93431),x93432)) % 209.33/209.63 [5319]~P93(x53191)+E(f335(f335(f86(x53191),f335(f110(x53191),a89)),x53192),x53192) % 209.33/209.63 [5349]~P90(x53491)+E(f335(f335(f108(x53491),f335(f85(x53491),x53492)),x53492),f195(x53491)) % 209.33/209.63 [5350]~P90(x53501)+E(f335(f335(f117(x53501),f335(f85(x53501),x53502)),x53502),f250(x53501)) % 209.33/209.63 [5351]~P3(x53511)+E(f335(f335(f86(x53511),f335(f85(x53511),x53512)),x53512),f2(x53511)) % 209.33/209.63 [5352]~P4(x53521)+E(f335(f335(f86(x53521),f335(f85(x53521),x53522)),x53522),f2(x53521)) % 209.33/209.63 [5385]~P93(x53851)+E(f335(f335(f87(x53851),f335(f110(x53851),a104)),x53852),f335(f85(x53851),x53852)) % 209.33/209.63 [5546]~P114(x55461)+E(f335(f335(f87(x55461),f335(f85(x55461),f84(x55461))),x55462),f335(f85(x55461),x55462)) % 209.33/209.63 [5591]E(f335(f81(a1),x55911),f84(a1))+~E(f335(f81(a1),f335(f335(f87(a1),x55911),x55912)),f84(a1)) % 209.33/209.63 [5681]~P93(x56811)+E(f335(f335(f86(x56811),f84(x56811)),f335(f110(x56811),x56812)),f335(f110(x56811),f335(f335(f23(a1),x56812),a104))) % 209.33/209.63 [5735]~P5(x57351)+E(f43(x57351,f335(f335(f317(x57351),x57352),f195(f934(x57351,a922)))),x57352) % 209.33/209.63 [5736]~P96(x57361)+E(f13(x57361,f335(f335(f317(x57361),x57362),f195(f934(x57361,a922)))),x57362) % 209.33/209.63 [5737]~P96(x57371)+E(f10(x57371,f335(f335(f317(x57371),x57372),f195(f934(x57371,a922)))),x57372) % 209.33/209.63 [5738]~P108(x57381)+E(f14(x57381,f335(f335(f317(x57381),x57382),f195(f934(x57381,a922)))),x57382) % 209.33/209.63 [5739]~P108(x57391)+E(f15(x57391,f335(f335(f317(x57391),x57392),f195(f934(x57391,a922)))),x57392) % 209.33/209.63 [5740]~P5(x57401)+E(f42(x57401,f335(f335(f317(x57401),x57402),f195(f934(x57401,a922)))),x57402) % 209.33/209.63 [5762]E(f335(f335(f86(a927),x57621),f335(f335(f23(a927),x57622),x57621)),x57622)+P106(f335(f335(f244(a927),x57622),x57621)) % 209.33/209.63 [5798]E(x57981,f120(x57982))+P106(f335(f335(f244(a927),f2(a927)),f335(f196(f928(x57982)),x57981))) % 209.33/209.63 [5923]~P108(x59231)+E(f11(x59231,f241(x59231),f335(f335(f317(x59231),x59232),f195(f934(x59231,a922)))),x59232) % 209.33/209.63 [5924]~P108(x59241)+E(f12(x59241,f242(x59241),f335(f335(f317(x59241),x59242),f195(f934(x59241,a922)))),x59242) % 209.33/209.63 [5985]E(f335(f335(f23(a927),x59851),f335(f335(f23(a927),x59851),x59852)),x59852)+~P106(f335(f335(f243(a927),x59852),x59851)) % 209.33/209.63 [5986]E(f335(f335(f86(a927),x59861),f335(f335(f23(a927),x59862),x59861)),x59862)+~P106(f335(f335(f243(a927),x59861),x59862)) % 209.33/209.63 [6008]E(f50(a927,f335(f335(f23(a927),x60081),x60082),x60082),f50(a927,x60081,x60082))+P106(f335(f335(f244(a927),x60081),x60082)) % 209.33/209.63 [6019]E(f335(f85(a1),f335(f335(f41(a1),x60191),f335(f85(a1),x60192))),f301(x60191,x60192))+P106(f335(f335(f243(a1),f2(a1)),x60192)) % 209.33/209.63 [6021]~E(x60212,f2(a927))+P106(f335(f335(f244(a927),f2(a927)),f335(f335(f252(a927),x60211),x60212))) % 209.33/209.63 [6075]~P93(x60751)+E(f335(f335(f86(x60751),f335(f85(x60751),f84(x60751))),f335(f110(x60751),x60752)),f335(f110(x60751),f335(f335(f86(a1),x60752),a104))) % 209.33/209.63 [6077]E(f335(f335(f252(a927),f335(f110(a927),x60771)),x60772),f335(f335(f252(a927),f2(a927)),x60772))+~P106(f335(a200,f335(f110(a1),x60771))) % 209.33/209.63 [6179]E(f335(f148(a927),f146(a927,f335(f310(a927,x61791),x61792))),x61791)+~P106(f335(f335(f244(a927),x61791),x61792)) % 209.33/209.63 [6195]E(f335(f335(f87(a927),f335(f110(a927),x61951)),f335(f110(a927),x61952)),f335(f110(a927),f335(f335(f87(a1),x61951),x61952)))+P106(f335(f335(f244(a1),x61951),a89)) % 209.33/209.63 [6201]~P127(x62011)+P106(f335(f335(f243(x62011),f2(x62011)),f335(f335(f87(x62011),x62012),x62012))) % 209.33/209.63 [6213]E(f335(f335(f23(a927),f335(a119,x62131)),x62132),f335(a119,f335(f335(f23(a927),x62131),x62132)))+~P106(f335(f335(f243(a927),x62132),x62131)) % 209.33/209.63 [6217]E(f50(a927,f335(f335(f23(a927),x62171),x62172),x62172),f50(a927,x62171,x62172))+~P106(f335(f335(f243(a927),x62172),x62171)) % 209.33/209.63 [6269]E(f335(f335(f252(a927),f335(a111,x62691)),x62692),f335(a111,f335(f335(f252(a1),x62691),x62692)))+~P106(f335(f335(f243(a1),f2(a1)),x62691)) % 209.33/209.63 [6287]P106(f335(f144(x62871),x62872))+P106(f335(f335(f244(a927),f690(x62872,x62871)),f335(f196(f928(x62871)),x62872))) % 209.33/209.63 [6288]P106(f335(f144(x62881),x62882))+P106(f335(f335(f244(a927),f694(x62882,x62881)),f335(f196(f928(x62881)),x62882))) % 209.33/209.63 [6302]~E(x63021,f120(x63022))+~P106(f335(f335(f244(a927),f2(a927)),f335(f196(f928(x63022)),x63021))) % 209.33/209.63 [6313]E(f151(a927,f146(a927,f335(f310(a927,x63131),x63132))),f335(f335(f23(a927),x63132),f84(a927)))+~P106(f335(f335(f244(a927),x63131),x63132)) % 209.33/209.63 [6316]E(f335(f335(f86(a1),x63161),f335(f107(a1),f335(a119,f427(x63162,x63161)))),x63162)+~P106(f335(f335(f244(a1),x63161),x63162)) % 209.33/209.63 [6323]E(x63231,f2(a927))+E(f335(f335(f87(a927),x63232),f335(f335(f252(a927),x63232),f335(f335(f23(a927),x63231),f84(a927)))),f335(f335(f252(a927),x63232),x63231)) % 209.33/209.63 [6351]E(f335(f335(f87(a927),f335(a111,x63511)),f335(a111,x63512)),f335(a111,f335(f335(f87(a1),x63511),x63512)))+~P106(f335(f335(f243(a1),f2(a1)),x63511)) % 209.33/209.63 [6352]E(f335(f335(f41(a927),f335(a111,x63521)),f335(a111,x63522)),f335(a111,f335(f335(f41(a1),x63521),x63522)))+~P106(f335(f335(f243(a1),f2(a1)),x63521)) % 209.33/209.63 [6366]~P116(x63661)+E(f335(f335(f86(x63661),x63662),x63662),f335(f335(f87(x63661),f335(f335(f86(x63661),f84(x63661)),f84(x63661))),x63662)) % 209.33/209.63 [6388]E(f335(f335(f23(a1),f335(f107(a1),x63881)),f335(f107(a1),x63882)),f335(f107(a1),f335(f335(f23(a927),x63881),x63882)))+~P106(f335(f335(f243(a927),x63882),x63881)) % 209.33/209.63 [6390]E(f335(f335(f260(a1,a1),f335(f110(a1),a104)),f335(f335(f86(a1),x63901),x63902)),f55(x63901,x63902))+~P106(f335(f335(f243(a1),x63902),f2(a1))) % 209.33/209.63 [6422]E(f186(x64221,x64222),f120(f928(x64221)))+P106(f335(f335(f337(f928(x64221)),f689(x64222,x64221)),f335(f179(f928(x64221)),x64222))) % 209.33/209.63 [6431]E(f123(a1,f335(f136(a1),x64311),f135(x64312,f335(f335(f86(a1),x64311),f84(a1)))),f135(x64312,x64311))+P106(f335(f335(f244(a1),x64312),x64311)) % 209.33/209.63 [6505]E(f335(f335(f158(a1),x65051),f185(f335(f335(f86(a1),x65051),f84(a1)),x65052)),f185(x65051,x65052))+~P106(f335(f335(f243(a1),x65051),x65052)) % 209.33/209.63 [6544]~P106(f335(f335(f244(a927),x65442),x65441))+P106(f335(f335(f244(a927),f2(a927)),f335(f335(f23(a927),x65441),x65442))) % 209.33/209.63 [6576]~P106(f335(f335(f244(a927),x65761),f335(a111,x65762)))+P106(f335(f335(f244(a1),f335(f107(a1),x65761)),x65762)) % 209.33/209.63 [6604]~P108(x66041)+E(f335(f335(f117(f934(x66041,a922)),f335(f290(x66041),x66042)),f335(f335(f317(x66041),x66042),f195(f934(x66041,a922)))),f335(f309(x66041),x66042)) % 209.33/209.63 [6605]~P106(f335(f335(f243(a1),f2(a1)),x66051))+P106(f335(f335(f243(a1),f2(a1)),f335(f335(f252(a1),x66051),x66052))) % 209.33/209.63 [6608]~P106(f335(f335(f244(a927),f2(a927)),x66081))+P106(f335(f335(f244(a927),f2(a927)),f335(f335(f252(a927),x66081),x66082))) % 209.33/209.63 [6636]~E(f335(x66361,f2(a927)),f2(a927))+E(f335(f335(f6(a927,a927),x66361),f311(a927,f335(a119,f2(a927)),x66362)),f335(f335(f6(a927,a927),x66361),f311(a927,f2(a927),x66362))) % 209.33/209.63 [6700]~P93(x67001)+E(f335(f335(f87(x67001),f335(f335(f86(x67001),f84(x67001)),f84(x67001))),f335(f110(x67001),x67002)),f335(f110(x67001),f335(f335(f86(a1),x67002),x67002))) % 209.33/209.63 [6715]E(f335(f335(f317(a1),x67151),f311(a1,f335(f335(f86(a1),x67151),f84(a1)),x67152)),f311(a1,x67151,x67152))+P106(f335(f335(f244(a1),x67152),x67151)) % 209.33/209.63 [6716]P106(f335(f335(f244(a927),x67161),f335(a111,x67162)))+~P106(f335(f335(f244(a1),f335(f107(a1),x67161)),x67162)) % 209.33/209.63 [6820]E(f335(a111,f335(f335(f41(a1),f335(f110(a1),x68201)),f335(f110(a1),x68202))),f335(f335(f41(a927),f335(f110(a927),x68201)),f335(f110(a927),x68202)))+P106(f335(a200,f335(f110(a1),x68201))) % 209.33/209.63 [6878]P106(f335(f335(f244(a927),x68781),x68782))+~P106(f335(f335(f244(a927),f2(a927)),f335(f335(f23(a927),x68782),x68781))) % 209.33/209.63 [6922]P106(f335(f335(f244(a927),f2(a927)),x69221))+~P106(f335(f335(f244(a927),f2(a927)),f335(f335(f87(a927),x69222),x69221))) % 209.33/209.63 [6923]P106(f335(f335(f244(a927),f2(a927)),x69231))+~P106(f335(f335(f244(a927),f2(a927)),f335(f335(f87(a927),x69231),x69232))) % 209.33/209.63 [6941]~P106(f335(f335(f243(a1),x69411),f2(a1)))+E(f335(f335(f87(a927),f335(a111,f335(f85(a1),x69411))),f335(a111,f335(f85(a1),x69412))),f335(a111,f335(f335(f87(a1),x69411),x69412))) % 209.33/209.63 [6997]~E(x69972,f195(f934(x69971,a922)))+P106(f335(f335(f243(f934(x69971,a922)),x69972),f335(f85(f934(x69971,a922)),x69972))) % 209.33/209.63 [7059]~P93(x70591)+E(f335(f335(f86(x70591),f335(f335(f86(x70591),f2(x70591)),f335(f110(x70591),x70592))),f335(f110(x70591),x70592)),f335(f110(x70591),f335(f335(f86(a1),x70592),x70592))) % 209.33/209.63 [7113]~P106(f335(f335(f244(a1),x71131),x71132))+P106(f335(f335(f243(a1),f335(f335(f86(a1),x71131),f84(a1))),x71132)) % 209.33/209.63 [7177]E(x71771,f2(a927))+~P106(f335(f335(f243(a1),f335(f107(a1),x71772)),f335(f85(a1),f335(f107(a1),x71771)))) % 209.33/209.63 [7178]E(x71781,f2(a927))+~P106(f335(f335(f243(a1),f335(f107(a1),x71781)),f335(f85(a1),f335(f107(a1),x71782)))) % 209.33/209.63 [7280]E(f335(f335(f260(a1,a1),f335(f110(a1),a104)),f335(f335(f86(a1),x72801),x72802)),f55(x72801,x72802))+~P106(f335(f335(f243(a1),f2(a1)),f335(f335(f86(a1),x72801),x72802))) % 209.33/209.63 [7324]~P27(x73241,x73242)+P37(x73241,f335(f259(f934(f933(x73241,x73241),a922),f934(f933(x73241,x73241),a922)),x73242)) % 209.33/209.63 [7343]~P106(f335(f335(f243(a927),f335(a119,f2(a927))),x73431))+P106(f335(f335(f243(a927),f335(a119,f2(a927))),f335(f335(f252(a927),x73431),x73432))) % 209.33/209.63 [7523]~P106(f335(f335(f243(a1),x75231),x75232))+P106(f335(f335(f243(a1),f335(f335(f86(a1),x75231),x75231)),f335(f335(f86(a1),x75232),x75232))) % 209.33/209.63 [7528]~P106(f335(f335(f244(a1),x75281),x75282))+P106(f335(f335(f244(a1),f335(f335(f86(a1),x75281),x75281)),f335(f335(f86(a1),x75282),x75282))) % 209.33/209.63 [7585]~P106(f335(f335(f244(a927),f2(a927)),x75851))+P106(f335(f335(f244(a927),f335(f335(f23(a927),x75851),f335(a119,x75852))),x75851)) % 209.33/209.63 [7617]P106(f335(f335(f243(a927),f335(a119,f2(a927))),x76171))+~P106(f335(f335(f243(a927),f335(a119,f2(a927))),f335(f335(f87(a927),x76172),x76171))) % 209.33/209.63 [7618]P106(f335(f335(f243(a927),f335(a119,f2(a927))),x76181))+~P106(f335(f335(f243(a927),f335(a119,f2(a927))),f335(f335(f87(a927),x76181),x76182))) % 209.33/209.63 [7622]P106(f335(f335(f243(a927),f335(f335(f171(a927),x76221),x76222)),f335(f172(a927),x76221)))+~P106(f335(f335(f244(a927),x76222),f335(f196(f928(a927)),x76221))) % 209.33/209.63 [7660]P106(f335(f335(f244(a1),x76601),x76602))+~P106(f335(f335(f243(a1),f335(f335(f86(a1),x76601),f84(a1))),x76602)) % 209.33/209.63 [7702]P106(f335(f66(x77021),f250(f934(x77021,a922))))+~P106(f335(f66(f934(x77022,x77021)),f250(f934(f934(x77022,x77021),a922)))) % 209.33/209.63 [7703]P106(f335(f66(x77031),f250(f934(x77031,a922))))+~P106(f335(f66(f935(x77032,x77031)),f250(f934(f935(x77032,x77031),a922)))) % 209.33/209.63 [7704]P106(f335(f66(x77041),f250(f934(x77041,a922))))+~P106(f335(f66(f935(x77041,x77042)),f250(f934(f935(x77041,x77042),a922)))) % 209.33/209.63 [7742]E(x77421,f195(f934(x77422,a922)))+~P106(f335(f335(f243(f934(x77422,a922)),x77421),f335(f85(f934(x77422,a922)),x77421))) % 209.33/209.63 [7878]E(f335(f149(f928(x78781),f928(x78781),f141(x78781),f120(x78781)),x78782),f120(x78781))+P106(f335(f335(f337(f928(x78781)),f720(x78782,x78781)),f335(f179(f928(x78781)),x78782))) % 209.33/209.63 [7879]E(f335(f149(f928(x78791),f928(x78791),f141(x78791),f120(x78791)),x78792),f120(x78791))+P106(f335(f335(f337(f928(x78791)),f725(x78792,x78791)),f335(f179(f928(x78791)),x78792))) % 209.33/209.63 [8110]P106(f335(f335(f243(a1),x81101),x81102))+~P106(f335(f335(f243(a1),f335(f335(f86(a1),x81101),x81101)),f335(f335(f86(a1),x81102),x81102))) % 209.33/209.63 [8115]P106(f335(f335(f244(a1),x81151),x81152))+~P106(f335(f335(f244(a1),f335(f335(f86(a1),x81151),x81151)),f335(f335(f86(a1),x81152),x81152))) % 209.33/209.63 [8208]~P116(x82081)+E(f335(f335(f87(x82081),f335(f335(f86(x82081),f84(x82081)),f84(x82081))),f335(f335(f6(a927,x82081),f107(x82081)),f311(a927,f84(a927),x82082))),f335(f335(f87(x82081),f335(f107(x82081),x82082)),f335(f335(f86(x82081),f335(f107(x82081),x82082)),f84(x82081)))) % 209.33/209.63 [8257]P106(f335(f335(f337(a927),x82571),x82572))+~P106(f335(f335(f337(a1),f335(f107(a1),x82571)),f335(f318(a927,a1,f107(a1)),x82572))) % 209.33/209.63 [8411]~P106(f335(f66(x84111),x84112))+E(f335(f318(a927,x84111,f354(x84112,x84111)),f335(f270(a927),f335(f335(f7(a927,a927,a922),f244(a927)),f355(x84112,x84111)))),x84112) % 209.33/209.63 [8691]P54(x86911,x86912)+P106(f335(f335(f337(f933(x86911,x86911)),f335(f335(f260(x86911,x86911),f807(x86912,x86911)),f807(x86912,x86911))),x86912)) % 209.33/209.63 [8692]P38(x86921,x86922)+P106(f335(f335(f337(f933(x86921,x86921)),f335(f335(f260(x86921,x86921),f813(x86922,x86921)),f816(x86922,x86921))),x86922)) % 209.33/209.63 [8693]P38(x86931,x86932)+P106(f335(f335(f337(f933(x86931,x86931)),f335(f335(f260(x86931,x86931),f816(x86932,x86931)),f817(x86932,x86931))),x86932)) % 209.33/209.63 [8694]P39(x86941,x86942)+P106(f335(f335(f337(f933(x86941,x86941)),f335(f335(f260(x86941,x86941),f730(x86942,x86941)),f729(x86942,x86941))),x86942)) % 209.33/209.63 [8695]P39(x86951,x86952)+P106(f335(f335(f337(f933(x86951,x86951)),f335(f335(f260(x86951,x86951),f729(x86952,x86951)),f730(x86952,x86951))),x86952)) % 209.33/209.63 [8696]P52(x86961,x86962)+P106(f335(f335(f337(f933(x86961,x86961)),f335(f335(f260(x86961,x86961),f828(x86962,x86961)),f829(x86962,x86961))),x86962)) % 209.33/209.63 [8837]~P93(x88371)+E(f335(f335(f23(x88371),f84(x88371)),f335(f110(x88371),x88372)),f335(f110(x88371),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f85(a1),x88372)))) % 209.33/209.63 [8962]~P106(f335(f335(f244(f934(a927,a922)),x89621),x89622))+P106(f335(f335(f244(f934(a1,a922)),f335(f318(a927,a1,f107(a1)),x89621)),f335(f318(a927,a1,f107(a1)),x89622))) % 209.33/209.63 [8996]~P106(f335(f335(f244(a1),x89961),x89962))+P106(f335(f335(f243(a1),f335(f335(f23(a1),f335(f335(f86(a1),x89961),x89961)),a104)),f335(f335(f86(a1),x89962),x89962))) % 209.33/209.63 [8998]~P106(f335(f335(f244(a1),x89981),x89982))+P106(f335(f335(f244(a1),f335(f335(f23(a1),f335(f335(f86(a1),x89981),x89981)),a104)),f335(f335(f86(a1),x89982),x89982))) % 209.33/209.63 [9071]~P106(f335(f335(f337(a927),x90711),f335(f179(a927),x90712)))+P106(f335(f335(f243(a927),x90711),f335(f149(a927,a927,f86(a927),f2(a927)),x90712))) % 209.33/209.63 [9164]P45(x91641,x91642)+~P106(f335(f335(f337(f933(x91641,x91641)),f335(f335(f260(x91641,x91641),f776(x91642,x91641)),f776(x91642,x91641))),x91642)) % 209.33/209.63 [9165]P38(x91651,x91652)+~P106(f335(f335(f337(f933(x91651,x91651)),f335(f335(f260(x91651,x91651),f813(x91652,x91651)),f817(x91652,x91651))),x91652)) % 209.33/209.63 [9166]P52(x91661,x91662)+~P106(f335(f335(f337(f933(x91661,x91661)),f335(f335(f260(x91661,x91661),f829(x91662,x91661)),f828(x91662,x91661))),x91662)) % 209.33/209.63 [9305]~P106(f335(f335(f243(f934(a1,a922)),f335(f318(a927,a1,f107(a1)),x93051)),f335(f318(a927,a1,f107(a1)),x93052)))+P106(f335(f335(f243(f934(a927,a922)),x93051),x93052)) % 209.33/209.63 [9306]~P106(f335(f335(f244(f934(a1,a922)),f335(f318(a927,a1,f107(a1)),x93061)),f335(f318(a927,a1,f107(a1)),x93062)))+P106(f335(f335(f244(f934(a927,a922)),x93061),x93062)) % 209.33/209.63 [9391]P106(f335(f335(f244(a1),x93911),x93912))+~P106(f335(f335(f243(a1),f335(f335(f23(a1),f335(f335(f86(a1),x93911),x93911)),a104)),f335(f335(f86(a1),x93912),x93912))) % 209.33/209.63 [9393]P106(f335(f335(f244(a1),x93931),x93932))+~P106(f335(f335(f244(a1),f335(f335(f23(a1),f335(f335(f86(a1),x93931),x93931)),a104)),f335(f335(f86(a1),x93932),x93932))) % 209.33/209.63 [10280]~P104(x102801)+E(f123(f928(x102801),f335(f136(f928(x102801)),f120(x102801)),f335(f335(f335(f103(f929(f928(x102801))),f335(f335(f244(a1),f2(a1)),x102802)),f335(f125(f933(x102801,f928(x102801)),f928(x102801),f138(x102801,f928(x102801),f139(x102801,f335(f335(f23(a1),x102802),f84(a1))),f139(f928(x102801),f335(f335(f23(a1),x102802),f84(a1))))),f335(f265(x102801,f928(x102801),f929(f928(x102801))),f335(f335(f8(f934(f928(x102801),f928(x102801)),f934(f928(x102801),f929(f928(x102801))),x102801),f335(f8(f928(x102801),f929(f928(x102801)),f928(x102801)),f136(f928(x102801)))),f158(x102801))))),f122(f928(x102801)))),f139(f928(x102801),x102802)) % 209.33/209.63 [10302]~P106(f335(f66(x103021),x103022))+E(f335(f196(f928(x103021)),f96(f928(x103021),f335(f335(f18(f928(x103021),a922,a922),f335(f335(f8(a922,f934(a922,a922),f928(x103021)),a333),f335(f335(f7(f928(x103021),f934(x103021,a922),a922),f335(f335(f8(f934(x103021,a922),f934(f934(x103021,a922),a922),f928(x103021)),a332),f179(x103021))),x103022))),f144(x103021)))),f223(x103021,x103022)) % 209.33/209.63 [6312]E(f335(f335(f86(a927),f335(f335(f23(a927),x63121),x63122)),x63122),x63121)+~P106(f335(f335(f243(a927),x63122),x63121)) % 209.33/209.63 [6384]E(f335(f335(f41(a927),f335(f335(f87(a927),x63841),x63842)),x63842),x63841)+~P106(f335(f335(f244(a927),f2(a927)),x63842)) % 209.33/209.63 [6385]E(f335(f335(f41(a927),f335(f335(f87(a927),x63851),x63852)),x63851),x63852)+~P106(f335(f335(f244(a927),f2(a927)),x63851)) % 209.33/209.63 [6389]~P75(x63891)+E(f335(f335(f6(a927,x63891),f335(f171(x63891),x63892)),f335(f310(a927,f2(a927)),f335(f196(f928(x63891)),x63892))),f335(f172(x63891),x63892)) % 209.33/209.63 [6497]E(f50(a927,f335(a119,f335(f335(f87(a927),x64971),x64972)),x64971),f84(a927))+~P106(f335(f335(f244(a927),f84(a927)),x64971)) % 209.33/209.63 [6503]E(f335(a119,f335(f335(f86(a927),f335(f110(a927),x65031)),x65032)),f335(f335(f86(a927),f84(a927)),x65032))+~P106(f335(a200,f335(f110(a1),x65031))) % 209.33/209.63 [6532]E(f335(a111,f335(f335(f252(a1),f335(f110(a1),x65321)),x65322)),f335(f335(f252(a927),f335(f110(a927),x65321)),x65322))+P106(f335(a200,f335(f110(a1),x65321))) % 209.33/209.63 [6770]E(f335(f335(f23(a927),x67701),f335(f110(a927),f335(f335(f86(a1),x67702),a104))),f335(f335(f23(a927),f335(a119,x67701)),f335(f110(a927),x67702)))+~P106(f335(f335(f244(a1),a89),x67702)) % 209.33/209.63 [6850]E(x68501,f2(a927))+E(f335(a119,f335(f335(f86(a927),f335(f335(f23(a927),x68501),f84(a927))),x68502)),f335(f335(f86(a927),x68501),x68502)) % 209.33/209.63 [6891]E(x68911,f2(a1))+P106(f335(f335(f244(a1),f2(a1)),f335(f335(f252(a1),f335(f81(a1),x68911)),x68912))) % 209.33/209.63 [6906]~E(x69062,f2(a927))+P106(f335(f335(f244(a1),f2(a1)),f335(f335(f252(a1),f335(f81(a1),x69061)),x69062))) % 209.33/209.63 [6944]E(x69441,f2(a927))+E(f335(f335(f86(a927),x69442),f335(f335(f87(a927),f335(f335(f23(a927),x69441),f84(a927))),x69442)),f335(f335(f87(a927),x69441),x69442)) % 209.33/209.63 [6990]~P106(f335(f335(f243(a1),x69901),x69902))+P106(f335(f335(f244(a1),f335(f335(f86(a1),x69901),a104)),x69902)) % 209.33/209.63 [7116]E(f335(f335(f158(a927),x71161),f146(a927,f335(f310(a927,f335(a119,x71161)),x71162))),f146(a927,f335(f310(a927,x71161),x71162)))+~P106(f335(f335(f244(a927),x71161),x71162)) % 209.33/209.63 [7315]E(x73151,x73152)+~E(f335(f335(f23(a1),f335(f335(f86(a1),x73151),x73151)),a104),f335(f335(f23(a1),f335(f335(f86(a1),x73152),x73152)),a104)) % 209.33/209.63 [7318]E(x73181,f120(x73182))+E(f274(x73182,f335(f335(f161(x73182,f933(a106,x73182)),f335(f260(a106,x73182),f84(a106))),x73181)),f283(x73182,x73181)) % 209.33/209.63 [7555]P106(f335(f335(f243(a1),x75551),x75552))+~P106(f335(f335(f244(a1),f335(f335(f86(a1),x75551),a104)),x75552)) % 209.33/209.63 [8017]~P106(f335(f335(f244(a927),x80171),x80172))+P106(f335(f335(f337(f933(a927,a927)),f335(f335(f260(a927,a927),x80171),x80172)),a248)) % 209.33/209.63 [8234]~P106(f335(f335(f244(a106),f2(a106)),x82341))+P106(f335(f335(f244(a106),f335(f259(a106,f933(a106,a106)),f335(f275(x82341),x82342))),x82341)) % 209.33/209.63 [8493]~P38(x84931,x84932)+P38(x84931,f335(f335(f117(f934(f933(x84931,x84931),a922)),x84932),f315(x84931,f195(f934(f933(x84931,x84931),a922))))) % 209.33/209.63 [8494]~P39(x84941,x84942)+P39(x84941,f335(f335(f117(f934(f933(x84941,x84941),a922)),x84942),f315(x84941,f195(f934(f933(x84941,x84941),a922))))) % 209.33/209.63 [8543]~P85(x85431)+P106(f335(f335(f243(x85431),f335(f81(x85431),f335(f172(x85431),x85432))),f335(f172(x85431),f335(f335(f161(x85431,x85431),f81(x85431)),x85432)))) % 209.33/209.63 [8568]P106(f335(f335(f244(a927),x85681),x85682))+~P106(f335(f335(f337(f933(a927,a927)),f335(f335(f260(a927,a927),x85681),x85682)),a248)) % 209.33/209.63 [8715]E(f335(f335(f260(x87151,x87151),f916(x87152,x87151)),f916(x87152,x87151)),x87152)+~P106(f335(f335(f337(f933(x87151,x87151)),x87152),f315(x87151,f195(f934(f933(x87151,x87151),a922))))) % 209.33/209.63 [8759]E(f335(f310(a927,x87591),f335(f335(f86(a927),x87591),f335(f40(a927),x87592))),x87592)+~P106(f335(f335(f243(f934(a927,a922)),x87592),f335(f310(a927,x87591),f335(f335(f86(a927),x87591),f335(f40(a927),x87592))))) % 209.33/209.63 [8989]P39(x89891,x89892)+~P39(x89891,f335(f335(f117(f934(f933(x89891,x89891),a922)),x89892),f315(x89891,f195(f934(f933(x89891,x89891),a922))))) % 209.33/209.63 [9115]E(f335(f335(f41(a1),f335(f110(a1),f335(f335(f23(a1),f335(f335(f86(a1),x91151),x91151)),a104))),f335(f110(a1),f335(f335(f86(a1),x91152),x91152))),f335(f335(f41(a1),f335(f110(a1),x91151)),f335(f110(a1),x91152)))+~P106(f335(f335(f243(a1),f2(a1)),f335(f110(a1),x91152))) % 209.33/209.63 [9209]~P38(x92091,x92092)+P106(f335(f335(f243(f934(f933(x92091,x92091),a922)),f335(f335(f297(x92091,x92091,x92091),x92092),x92092)),x92092)) % 209.33/209.63 [9235]E(f184(f928(x92351),f335(f335(f8(a922,a922,f928(x92351)),a330),f335(f335(f7(f928(x92351),f928(x92351),a922),a332),f120(x92351))),x92352),f186(x92351,f186(x92351,x92352)))+~P13(a927,f335(f175(a927),f335(f335(f161(f928(x92351),a927),f196(f928(x92351))),x92352))) % 209.33/209.63 [9238]E(f335(f335(f41(a1),f335(f110(a1),f335(f335(f23(a1),f335(f335(f86(a1),x92381),x92381)),a104))),f335(f110(a1),f335(f335(f86(a1),x92382),x92382))),f335(f335(f41(a1),f335(f335(f86(a1),f335(f110(a1),x92381)),f84(a1))),f335(f110(a1),x92382)))+P106(f335(f335(f243(a1),f2(a1)),f335(f110(a1),x92382))) % 209.33/209.63 [10072]P106(f335(a200,x100722))+E(f335(f335(f92(a1,a927),f335(f335(f23(a1),x100721),x100722)),f335(f335(f18(a1,a927,a927),f335(f335(f7(a1,a927,f934(a927,a927)),f335(f335(f8(a922,f934(a927,f934(a927,a927)),a1),f103(a927)),a200)),f2(a927))),a111)),f335(f335(f23(a927),f335(a111,x100721)),f335(a111,x100722))) % 209.33/209.63 [10080]E(f335(f335(f92(a1,a927),f335(f110(a1),f335(f335(f86(a1),x100801),f335(f85(a1),x100802)))),f335(f335(f18(a1,a927,a927),f335(f335(f7(a1,a927,f934(a927,a927)),f335(f335(f8(a922,f934(a927,f934(a927,a927)),a1),f103(a927)),a200)),f2(a927))),a111)),f335(f335(f23(a927),f335(f110(a927),x100801)),f335(f110(a927),x100802)))+P106(f335(f335(f244(a1),x100802),a89)) % 209.33/209.63 [10081]~P27(x100811,x100812)+P106(f335(f335(f243(f934(f933(x100811,x100811),a922)),f335(f335(f297(x100811,x100811,x100811),f335(f259(f934(f933(x100811,x100811),a922),f934(f933(x100811,x100811),a922)),x100812)),f335(f264(f934(f933(x100811,x100811),a922),f934(f933(x100811,x100811),a922)),x100812))),f335(f259(f934(f933(x100811,x100811),a922),f934(f933(x100811,x100811),a922)),x100812))) % 209.33/209.63 [10137]~E(f335(f40(a927),f335(f270(a927),f335(f335(f18(a927,a922,a922),f335(f335(f8(a922,f934(a922,a922),a927),a333),f335(f335(f7(a927,f934(a927,a922),a922),f337(a927)),x101371))),f335(f335(f7(a927,a927,a922),f244(a927)),f335(a119,x101372))))),f2(a927))+~P106(f335(f335(f337(a927),f2(a927)),x101371)) % 209.33/209.63 [10149]E(f307(a927,f335(f335(f18(a927,f934(a927,a922),f934(a927,a922)),f335(f335(f8(f934(a927,f934(a922,a922)),f934(f934(a927,a922),f934(a927,a922)),a927),f18(a927,a922,a922)),f335(f335(f8(f934(a927,a922),f934(a927,f934(a922,a922)),a927),f335(f8(a922,f934(a922,a922),a927),a333)),f295(a927)))),f335(f335(f8(f934(a927,a922),f934(a927,a922),a927),f335(f8(a922,a922,a927),a330)),f335(f7(a927,a927,a922),f295(a927)))),x101491,x101492),f195(f934(a927,a922)))+~P106(f335(f335(f295(a927),x101492),x101491)) % 209.33/209.63 [10154]E(f305(a927,f295(a927),f335(f335(f18(a927,f934(a927,a922),f934(a927,a922)),f335(f335(f8(f934(a927,f934(a922,a922)),f934(f934(a927,a922),f934(a927,a922)),a927),f18(a927,a922,a922)),f335(f335(f8(f934(a927,a922),f934(a927,f934(a922,a922)),a927),f335(f8(a922,f934(a922,a922),a927),a333)),f295(a927)))),f335(f335(f8(f934(a927,a922),f934(a927,a922),a927),f335(f8(a922,a922,a927),a330)),f335(f7(a927,a927,a922),f295(a927)))),x101541,x101542),f195(f934(a927,a922)))+P106(f335(f335(f295(a927),x101541),x101542)) % 209.33/209.63 [10155]E(f308(a927,f295(a927),f335(f335(f18(a927,f934(a927,a922),f934(a927,a922)),f335(f335(f8(f934(a927,f934(a922,a922)),f934(f934(a927,a922),f934(a927,a922)),a927),f18(a927,a922,a922)),f335(f335(f8(f934(a927,a922),f934(a927,f934(a922,a922)),a927),f335(f8(a922,f934(a922,a922),a927),a333)),f295(a927)))),f335(f335(f8(f934(a927,a922),f934(a927,a922),a927),f335(f8(a922,a922,a927),a330)),f335(f7(a927,a927,a922),f295(a927)))),x101551,x101552),f195(f934(a927,a922)))+P106(f335(f335(f295(a927),x101551),x101552)) % 209.33/209.63 [10159]E(f305(a927,f295(a927),f335(f335(f18(a927,f934(a927,a922),f934(a927,a922)),f335(f335(f8(f934(a927,f934(a922,a922)),f934(f934(a927,a922),f934(a927,a922)),a927),f18(a927,a922,a922)),f335(f335(f8(f934(a927,a922),f934(a927,f934(a922,a922)),a927),f335(f8(a922,f934(a922,a922),a927),a333)),f295(a927)))),f335(f335(f8(f934(a927,a922),f934(a927,a922),a927),f335(f8(a922,a922,a927),a330)),f335(f7(a927,a927,a922),f295(a927)))),x101591,x101592),f195(f934(a927,a922)))+~P106(f335(f335(f295(a927),x101592),x101591)) % 209.33/209.63 [10161]E(f308(a927,f295(a927),f335(f335(f18(a927,f934(a927,a922),f934(a927,a922)),f335(f335(f8(f934(a927,f934(a922,a922)),f934(f934(a927,a922),f934(a927,a922)),a927),f18(a927,a922,a922)),f335(f335(f8(f934(a927,a922),f934(a927,f934(a922,a922)),a927),f335(f8(a922,f934(a922,a922),a927),a333)),f295(a927)))),f335(f335(f8(f934(a927,a922),f934(a927,a922),a927),f335(f8(a922,a922,a927),a330)),f335(f7(a927,a927,a922),f295(a927)))),x101611,x101612),f195(f934(a927,a922)))+~P106(f335(f335(f295(a927),x101612),x101611)) % 209.33/209.63 [10205]E(f50(a1,f335(f110(a1),f335(f335(f23(a1),f335(f335(f86(a1),x102051),x102051)),a104)),f335(f110(a1),f335(f335(f86(a1),x102052),x102052))),f335(f335(f86(a1),f335(f335(f87(a1),f335(f110(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),f50(a1,f335(f110(a1),x102051),f335(f110(a1),x102052)))),f84(a1)))+~P106(f335(f335(f243(a1),f2(a1)),f335(f110(a1),x102052))) % 209.33/209.63 [10214]E(f50(a1,f335(f110(a1),f335(f335(f23(a1),f335(f335(f86(a1),x102141),x102141)),a104)),f335(f110(a1),f335(f335(f86(a1),x102142),x102142))),f335(f335(f23(a1),f335(f335(f87(a1),f335(f110(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),f50(a1,f335(f335(f86(a1),f335(f110(a1),x102141)),f84(a1)),f335(f110(a1),x102142)))),f84(a1)))+P106(f335(f335(f243(a1),f2(a1)),f335(f110(a1),x102142))) % 209.33/209.63 [10269]~P5(x102691)+E(f42(x102691,f335(f270(x102691),f335(f335(f8(f934(x102691,a922),a922,x102691),f94(x102691)),f335(f335(f8(f934(x102691,a922),f934(x102691,a922),x102691),f335(f18(x102691,a922,a922),f335(f335(f8(a922,f934(a922,a922),x102691),a338),f335(f335(f7(x102691,f934(x102691,a922),a922),f337(x102691)),x102692)))),f243(x102691))))),f43(x102691,x102692)) % 209.33/209.63 [10295]~P37(x102951,x102952)+P60(x102951,f335(f335(f7(x102951,f934(f933(x102951,x102951),a922),f934(x102951,a922)),f335(f335(f8(f934(x102951,f934(f934(f933(x102951,x102951),a922),a922)),f934(f934(f933(x102951,x102951),a922),f934(x102951,a922)),x102951),f7(x102951,f934(f933(x102951,x102951),a922),a922)),f335(f335(f8(f934(x102951,f933(x102951,x102951)),f934(x102951,f934(f934(f933(x102951,x102951),a922),a922)),x102951),f335(f8(f933(x102951,x102951),f934(f934(f933(x102951,x102951),a922),a922),x102951),f337(f933(x102951,x102951)))),f260(x102951,x102951)))),x102952)) % 209.33/209.63 [10296]~P8(x102961,f250(f934(x102961,a922)),x102962)+P7(x102961,f335(f335(f7(x102961,f934(f933(x102961,x102961),a922),f934(x102961,a922)),f335(f335(f8(f934(x102961,f934(f934(f933(x102961,x102961),a922),a922)),f934(f934(f933(x102961,x102961),a922),f934(x102961,a922)),x102961),f7(x102961,f934(f933(x102961,x102961),a922),a922)),f335(f335(f8(f934(x102961,f933(x102961,x102961)),f934(x102961,f934(f934(f933(x102961,x102961),a922),a922)),x102961),f335(f8(f933(x102961,x102961),f934(f934(f933(x102961,x102961),a922),a922),x102961),f337(f933(x102961,x102961)))),f260(x102961,x102961)))),x102962)) % 209.33/209.63 [10339]P37(x103391,x103392)+~P60(x103391,f335(f335(f7(x103391,f934(f933(x103391,x103391),a922),f934(x103391,a922)),f335(f335(f8(f934(x103391,f934(f934(f933(x103391,x103391),a922),a922)),f934(f934(f933(x103391,x103391),a922),f934(x103391,a922)),x103391),f7(x103391,f934(f933(x103391,x103391),a922),a922)),f335(f335(f8(f934(x103391,f933(x103391,x103391)),f934(x103391,f934(f934(f933(x103391,x103391),a922),a922)),x103391),f335(f8(f933(x103391,x103391),f934(f934(f933(x103391,x103391),a922),a922),x103391),f337(f933(x103391,x103391)))),f260(x103391,x103391)))),x103392)) % 209.33/209.63 [10340]P8(x103401,f250(f934(x103401,a922)),x103402)+~P7(x103401,f335(f335(f7(x103401,f934(f933(x103401,x103401),a922),f934(x103401,a922)),f335(f335(f8(f934(x103401,f934(f934(f933(x103401,x103401),a922),a922)),f934(f934(f933(x103401,x103401),a922),f934(x103401,a922)),x103401),f7(x103401,f934(f933(x103401,x103401),a922),a922)),f335(f335(f8(f934(x103401,f933(x103401,x103401)),f934(x103401,f934(f934(f933(x103401,x103401),a922),a922)),x103401),f335(f8(f933(x103401,x103401),f934(f934(f933(x103401,x103401),a922),a922),x103401),f337(f933(x103401,x103401)))),f260(x103401,x103401)))),x103402)) % 209.33/209.63 [7503]E(f335(f335(f86(a927),f335(f110(a927),f335(f335(f23(a1),x75031),a104))),x75032),f335(a119,f335(f335(f86(a927),f335(f110(a927),x75031)),x75032)))+P106(f335(a200,f335(f110(a1),x75031))) % 209.33/209.63 [7935]~P93(x79351)+E(f335(f335(f86(x79351),f335(f335(f86(x79351),f84(x79351)),f335(f110(x79351),x79352))),f335(f110(x79351),x79352)),f335(f110(x79351),f335(f335(f23(a1),f335(f335(f86(a1),x79352),x79352)),a104))) % 209.33/209.63 [8570]~P106(f335(f335(f243(a1),x85701),x85702))+P106(f335(f335(f243(a1),f335(f335(f86(a1),x85701),x85701)),f335(f335(f23(a1),f335(f335(f86(a1),x85702),x85702)),a104))) % 209.33/209.63 [8572]~P106(f335(f335(f243(a1),x85721),x85722))+P106(f335(f335(f244(a1),f335(f335(f86(a1),x85721),x85721)),f335(f335(f23(a1),f335(f335(f86(a1),x85722),x85722)),a104))) % 209.33/209.63 [9000]P106(f335(f335(f243(a1),x90001),x90002))+~P106(f335(f335(f243(a1),f335(f335(f86(a1),x90001),x90001)),f335(f335(f23(a1),f335(f335(f86(a1),x90002),x90002)),a104))) % 209.33/209.63 [9002]P106(f335(f335(f243(a1),x90021),x90022))+~P106(f335(f335(f244(a1),f335(f335(f86(a1),x90021),x90021)),f335(f335(f23(a1),f335(f335(f86(a1),x90022),x90022)),a104))) % 209.33/209.63 [9294]~P106(f335(f335(f243(a1),x92941),x92942))+P106(f335(f335(f243(a1),f335(f335(f23(a1),f335(f335(f86(a1),x92941),x92941)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),x92942),x92942)),a104))) % 209.33/209.63 [9296]~P106(f335(f335(f244(a1),x92961),x92962))+P106(f335(f335(f244(a1),f335(f335(f23(a1),f335(f335(f86(a1),x92961),x92961)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),x92962),x92962)),a104))) % 209.33/209.63 [9561]P106(f335(f335(f243(a1),x95611),x95612))+~P106(f335(f335(f243(a1),f335(f335(f23(a1),f335(f335(f86(a1),x95611),x95611)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),x95612),x95612)),a104))) % 209.33/209.63 [9563]P106(f335(f335(f244(a1),x95631),x95632))+~P106(f335(f335(f244(a1),f335(f335(f23(a1),f335(f335(f86(a1),x95631),x95631)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),x95632),x95632)),a104))) % 209.33/209.63 [9596]~P106(f335(f66(x95961),x95962))+P106(f335(f66(f934(x95961,a922)),f335(f270(f934(x95961,a922)),f335(f335(f7(f934(x95961,a922),f934(x95961,a922),a922),f243(f934(x95961,a922))),x95962)))) % 209.33/209.63 [9645]~E(f335(f293(f933(a927,a927),f933(a927,a927),a115),f335(f335(f317(f933(a927,a927)),x96451),f195(f934(f933(a927,a927),a922)))),f335(f293(f933(a927,a927),f933(a927,a927),a115),f335(f335(f317(f933(a927,a927)),x96452),f195(f934(f933(a927,a927),a922)))))+P106(f335(f335(f337(f933(f933(a927,a927),f933(a927,a927))),f335(f335(f260(f933(a927,a927),f933(a927,a927)),x96451),x96452)),a115)) % 209.33/209.63 [9731]E(f335(f293(f933(a927,a927),f933(a927,a927),a115),f335(f335(f317(f933(a927,a927)),x97311),f195(f934(f933(a927,a927),a922)))),f335(f293(f933(a927,a927),f933(a927,a927),a115),f335(f335(f317(f933(a927,a927)),x97312),f195(f934(f933(a927,a927),a922)))))+~P106(f335(f335(f337(f933(f933(a927,a927),f933(a927,a927))),f335(f335(f260(f933(a927,a927),f933(a927,a927)),x97311),x97312)),a115)) % 209.33/209.63 [9767]P106(f335(f335(f243(a1),f2(a1)),f662(x97671,x97672)))+E(f335(f270(a1),f335(f335(f18(a1,a922,a922),f335(f335(f8(a922,f934(a922,a922),a1),a333),f335(f243(a1),f2(a1)))),x97671)),f335(f270(a1),f335(f335(f18(a1,a922,a922),f335(f335(f8(a922,f934(a922,a922),a1),a333),f335(f243(a1),f2(a1)))),x97672))) % 209.33/209.63 [10277]~P5(x102771)+E(f43(x102771,f335(f270(x102771),f335(f335(f8(f934(x102771,a922),a922,x102771),f94(x102771)),f335(f335(f8(f934(x102771,a922),f934(x102771,a922),x102771),f335(f18(x102771,a922,a922),f335(f335(f8(a922,f934(a922,a922),x102771),a338),f335(f335(f7(x102771,f934(x102771,a922),a922),f337(x102771)),x102772)))),f335(f7(x102771,x102771,a922),f243(x102771)))))),f42(x102771,x102772)) % 209.33/209.63 [10301]P106(f335(f335(f337(a927),f2(a927)),x103011))+E(f335(f40(a927),f335(f270(a927),f335(f335(f18(a927,a922,a922),f335(f335(f8(a922,f934(a922,a922),a927),a333),f335(f335(f7(a927,f934(a927,a922),a922),f335(f335(f8(a927,f934(f934(a927,a922),a922),a927),f337(a927)),a119)),x103011))),f335(f335(f7(a927,a927,a922),f244(a927)),x103012)))),f335(f40(a927),f335(f270(a927),f335(f335(f18(a927,a922,a922),f335(f335(f8(a922,f934(a922,a922),a927),a333),f335(f335(f7(a927,f934(a927,a922),a922),f337(a927)),x103011))),f335(f335(f7(a927,a927,a922),f244(a927)),f335(a119,x103012)))))) % 209.33/209.63 [7806]~P93(x78061)+E(f335(f335(f87(x78061),x78062),f335(f110(x78061),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))),x78062) % 209.33/209.63 [8062]~P93(x80621)+E(f335(f335(f86(x80621),f335(f110(x80621),x80622)),f84(x80621)),f335(f110(x80621),f335(f335(f86(a1),x80622),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))) % 209.33/209.63 [8206]P106(f335(f335(f243(a1),f2(a1)),f335(f110(a1),x82062)))+E(f335(f335(f252(a1),x82061),f335(f110(a927),f335(f335(f23(a1),f335(f335(f86(a1),x82062),x82062)),a104))),f84(a1)) % 209.33/209.63 [9621]~P106(f335(f335(f243(a1),f2(a1)),f335(f110(a1),x96212)))+E(f335(f335(f252(a1),x96211),f335(f110(a927),f335(f335(f23(a1),f335(f335(f86(a1),x96212),x96212)),a104))),f335(f335(f92(a1,a1),f335(f335(f252(a1),x96211),f335(f110(a927),x96212))),f335(f335(f18(a1,a1,a1),f335(f335(f8(a1,f934(a1,a1),a1),f87(a1)),f335(f87(a1),x96211))),f5(a1)))) % 209.33/209.63 [9990]~P106(f335(f335(f243(a927),f673(x99902,x99901)),f335(x99901,f673(x99902,x99901))))+P106(f335(f66(a927),f335(f270(a927),f335(f335(f7(a927,a927,a922),f335(f335(f8(a927,f934(a927,a922),a927),f243(a927)),x99901)),x99902)))) % 209.33/209.63 [10127]~P106(f335(f335(f243(a927),f335(f110(a927),x101271)),f335(a119,x101272)))+P106(f335(f335(f92(a1,a922),f335(f110(a1),f335(f335(f86(a1),x101271),a104))),f335(f335(f18(a1,a922,a922),f335(f335(f8(a922,f934(a922,a922),a1),a338),f335(f335(f8(a922,a922,a1),a330),a200))),f335(f335(f7(a1,a927,a922),f335(f335(f8(a927,f934(a927,a922),a1),f243(a927)),a111)),x101272)))) % 209.33/209.63 [10128]~P106(f335(f335(f244(a927),f335(f110(a927),x101281)),f335(a119,x101282)))+P106(f335(f335(f92(a1,a922),f335(f110(a1),f335(f335(f86(a1),x101281),a104))),f335(f335(f18(a1,a922,a922),f335(f335(f8(a922,f934(a922,a922),a1),a338),f335(f335(f8(a922,a922,a1),a330),a200))),f335(f335(f7(a1,a927,a922),f335(f335(f8(a927,f934(a927,a922),a1),f244(a927)),a111)),x101282)))) % 209.33/209.63 [10189]P106(f335(f335(f243(a927),f335(f110(a927),x101891)),f335(a119,x101892)))+~P106(f335(f335(f92(a1,a922),f335(f110(a1),f335(f335(f86(a1),x101891),a104))),f335(f335(f18(a1,a922,a922),f335(f335(f8(a922,f934(a922,a922),a1),a338),f335(f335(f8(a922,a922,a1),a330),a200))),f335(f335(f7(a1,a927,a922),f335(f335(f8(a927,f934(a927,a922),a1),f243(a927)),a111)),x101892)))) % 209.33/209.63 [10190]P106(f335(f335(f244(a927),f335(f110(a927),x101901)),f335(a119,x101902)))+~P106(f335(f335(f92(a1,a922),f335(f110(a1),f335(f335(f86(a1),x101901),a104))),f335(f335(f18(a1,a922,a922),f335(f335(f8(a922,f934(a922,a922),a1),a338),f335(f335(f8(a922,a922,a1),a330),a200))),f335(f335(f7(a1,a927,a922),f335(f335(f8(a927,f934(a927,a922),a1),f244(a927)),a111)),x101902)))) % 209.33/209.63 [10220]~P106(f335(f335(f243(a927),f335(a119,x102202)),f335(f110(a927),x102201)))+P106(f335(f335(f92(a1,a922),f335(f110(a1),f335(f335(f86(a1),x102201),a104))),f335(f335(f18(a1,a922,a922),f335(f335(f8(a922,f934(a922,a922),a1),a333),f335(f335(f8(a922,a922,a1),a330),a200))),f335(f335(f18(a1,a922,a922),f335(f335(f8(a922,f934(a922,a922),a1),a338),f335(f335(f8(a922,a922,a1),a330),a200))),f335(f335(f8(a927,a922,a1),f335(f243(a927),x102202)),a111))))) % 209.33/209.63 [10221]~P106(f335(f335(f244(a927),f335(a119,x102212)),f335(f110(a927),x102211)))+P106(f335(f335(f92(a1,a922),f335(f110(a1),f335(f335(f86(a1),x102211),a104))),f335(f335(f18(a1,a922,a922),f335(f335(f8(a922,f934(a922,a922),a1),a333),f335(f335(f8(a922,a922,a1),a330),a200))),f335(f335(f18(a1,a922,a922),f335(f335(f8(a922,f934(a922,a922),a1),a338),f335(f335(f8(a922,a922,a1),a330),a200))),f335(f335(f8(a927,a922,a1),f335(f244(a927),x102212)),a111))))) % 209.33/209.63 [10267]P106(f335(f335(f243(a927),f335(a119,x102671)),f335(f110(a927),x102672)))+~P106(f335(f335(f92(a1,a922),f335(f110(a1),f335(f335(f86(a1),x102672),a104))),f335(f335(f18(a1,a922,a922),f335(f335(f8(a922,f934(a922,a922),a1),a333),f335(f335(f8(a922,a922,a1),a330),a200))),f335(f335(f18(a1,a922,a922),f335(f335(f8(a922,f934(a922,a922),a1),a338),f335(f335(f8(a922,a922,a1),a330),a200))),f335(f335(f8(a927,a922,a1),f335(f243(a927),x102671)),a111))))) % 209.33/209.63 [10268]P106(f335(f335(f244(a927),f335(a119,x102681)),f335(f110(a927),x102682)))+~P106(f335(f335(f92(a1,a922),f335(f110(a1),f335(f335(f86(a1),x102682),a104))),f335(f335(f18(a1,a922,a922),f335(f335(f8(a922,f934(a922,a922),a1),a333),f335(f335(f8(a922,a922,a1),a330),a200))),f335(f335(f18(a1,a922,a922),f335(f335(f8(a922,f934(a922,a922),a1),a338),f335(f335(f8(a922,a922,a1),a330),a200))),f335(f335(f8(a927,a922,a1),f335(f244(a927),x102681)),a111))))) % 209.33/209.63 [10349]~P106(f335(f335(f337(a927),f2(a927)),x103491))+E(f335(a119,f335(f40(a927),f335(f270(a927),f335(f335(f18(a927,a922,a922),f335(f335(f8(a922,f934(a922,a922),a927),a333),f335(f335(f7(a927,f934(a927,a922),a922),f335(f335(f8(a927,f934(f934(a927,a922),a922),a927),f337(a927)),a119)),x103491))),f335(f335(f7(a927,a927,a922),f244(a927)),x103492))))),f335(f40(a927),f335(f270(a927),f335(f335(f18(a927,a922,a922),f335(f335(f8(a922,f934(a922,a922),a927),a333),f335(f335(f7(a927,f934(a927,a922),a922),f337(a927)),x103491))),f335(f335(f7(a927,a927,a922),f244(a927)),f335(a119,x103492)))))) % 209.33/209.63 [8742]~P93(x87421)+E(f335(f335(f87(x87421),f335(f110(x87421),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))),x87422),x87422) % 209.33/209.63 [8803]~P93(x88031)+E(f335(f335(f86(x88031),f84(x88031)),f335(f110(x88031),x88032)),f335(f110(x88031),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),x88032))) % 209.33/209.63 [8865]~P93(x88651)+E(f335(f335(f23(x88651),f335(f110(x88651),x88652)),f84(x88651)),f335(f110(x88651),f335(f335(f86(a1),x88652),f335(f85(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))) % 209.33/209.63 [9019]~P106(f335(f335(f244(a927),f335(f110(a927),a89)),x90192))+E(f335(f335(f23(a927),x90191),f335(f335(f23(a927),x90192),f335(f110(a927),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),f335(f335(f23(a927),f335(a119,x90191)),x90192)) % 209.33/209.63 [9663]~P116(x96631)+E(f335(f335(f87(x96631),x96632),x96632),f335(f335(f252(x96631),x96632),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))) % 209.33/209.63 [9664]~P80(x96641)+E(f335(f335(f252(x96641),x96642),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),f335(f335(f87(x96641),x96642),x96642)) % 209.33/209.63 [9666]~P93(x96661)+E(f335(f335(f87(x96661),x96662),f335(f110(x96661),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),f335(f335(f86(x96661),x96662),x96662)) % 209.33/209.63 [9907]~P140(x99071)+E(f335(f335(f252(x99071),f335(f85(x99071),x99072)),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),f335(f335(f252(x99071),x99072),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))) % 209.33/209.63 [9908]~P122(x99081)+E(f335(f335(f252(x99081),f335(f81(x99081),x99082)),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),f335(f335(f252(x99081),x99082),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))) % 209.33/209.63 [9904]~P93(x99041)+E(f335(f335(f87(x99041),f335(f110(x99041),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),x99042),f335(f335(f86(x99041),x99042),x99042)) % 209.33/209.63 [10023]~P122(x100231)+E(f335(f81(x100231),f335(f335(f252(x100231),x100232),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))),f335(f335(f252(x100231),x100232),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))) % 209.33/209.63 [10088]~P122(x100881)+P106(f335(f335(f243(x100881),f2(x100881)),f335(f335(f252(x100881),x100882),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))))) % 209.33/209.63 [10258]~E(f335(a119,x102582),f335(f110(a927),x102581))+P106(f335(f335(f92(a1,a922),f335(f110(a1),f335(f335(f86(a1),x102581),a104))),f335(f335(f18(a1,a922,a922),f335(f335(f8(a922,f934(a922,a922),a1),a333),f335(f335(f8(a922,a922,a1),a330),a200))),f335(f335(f18(a1,a922,a922),f335(f335(f8(a922,f934(a922,a922),a1),a338),f335(f335(f8(a922,a922,a1),a330),a200))),f335(f335(f7(a1,a927,a922),f335(f335(f8(a927,f934(a927,a922),a1),a332),a111)),x102582))))) % 209.33/209.63 [10259]~E(f335(f110(a927),x102591),f335(a119,x102592))+P106(f335(f335(f92(a1,a922),f335(f110(a1),f335(f335(f86(a1),x102591),a104))),f335(f335(f18(a1,a922,a922),f335(f335(f8(a922,f934(a922,a922),a1),a333),f335(f335(f8(a922,a922,a1),a330),a200))),f335(f335(f18(a1,a922,a922),f335(f335(f8(a922,f934(a922,a922),a1),a338),f335(f335(f8(a922,a922,a1),a330),a200))),f335(f335(f7(a1,a927,a922),f335(f335(f8(a927,f934(a927,a922),a1),a332),a111)),x102592))))) % 209.33/209.63 [10304]E(f335(a119,x103041),f335(f110(a927),x103042))+~P106(f335(f335(f92(a1,a922),f335(f110(a1),f335(f335(f86(a1),x103042),a104))),f335(f335(f18(a1,a922,a922),f335(f335(f8(a922,f934(a922,a922),a1),a333),f335(f335(f8(a922,a922,a1),a330),a200))),f335(f335(f18(a1,a922,a922),f335(f335(f8(a922,f934(a922,a922),a1),a338),f335(f335(f8(a922,a922,a1),a330),a200))),f335(f335(f7(a1,a927,a922),f335(f335(f8(a927,f934(a927,a922),a1),a332),a111)),x103041))))) % 209.33/209.63 [10305]E(f335(f110(a927),x103051),f335(a119,x103052))+~P106(f335(f335(f92(a1,a922),f335(f110(a1),f335(f335(f86(a1),x103051),a104))),f335(f335(f18(a1,a922,a922),f335(f335(f8(a922,f934(a922,a922),a1),a333),f335(f335(f8(a922,a922,a1),a330),a200))),f335(f335(f18(a1,a922,a922),f335(f335(f8(a922,f934(a922,a922),a1),a338),f335(f335(f8(a922,a922,a1),a330),a200))),f335(f335(f7(a1,a927,a922),f335(f335(f8(a927,f934(a927,a922),a1),a332),a111)),x103052))))) % 209.33/209.63 [10350]~P15(x103501,x103502)+P106(f335(f335(f337(f934(x103501,a922)),f835(x103502,x103501)),f335(f335(f8(f934(x103501,a922),a922,f934(x103501,a922)),f93(x103501)),f335(f335(f8(f934(x103501,a922),f934(x103501,a922),f934(x103501,a922)),f335(f18(x103501,a922,a922),f335(f335(f8(a922,f934(a922,a922),x103501),a333),f335(f335(f18(x103501,x103501,a922),x103502),f5(x103501))))),f335(f335(f7(f934(x103501,a922),f934(x103501,f934(x103501,a922)),f934(x103501,a922)),f335(f335(f8(f934(f934(x103501,a922),a922),f934(f934(x103501,f934(x103501,a922)),f934(x103501,a922)),f934(x103501,a922)),f8(f934(x103501,a922),a922,x103501)),a332)),x103502))))) % 209.33/209.63 [10086]~P93(x100861)+E(f335(f335(f252(x100861),f335(f110(x100861),a104)),f335(f335(f87(a927),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),x100862)),f84(x100861)) % 209.33/209.63 [10087]~P140(x100871)+E(f335(f335(f252(x100871),f335(f85(x100871),f84(x100871))),f335(f335(f87(a927),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),x100872)),f84(x100871)) % 209.33/209.63 [10090]~P80(x100901)+E(f335(f335(f252(x100901),x100902),f335(f110(a927),f335(f335(f23(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))),a104))),f335(f335(f87(x100901),f335(f335(f87(x100901),x100902),x100902)),x100902)) % 209.33/209.63 [10284]~P106(f335(f335(f243(a1),f2(a1)),x102842))+E(f50(a1,f335(f335(f86(a1),f84(a1)),f335(f335(f87(a1),f335(f110(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),x102841)),f335(f335(f87(a1),f335(f110(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),x102842)),f335(f335(f86(a1),f84(a1)),f335(f335(f87(a1),f335(f110(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),f50(a1,x102841,x102842)))) % 209.33/209.63 [10307]~P106(f335(f335(f243(a1),f2(a1)),x103072))+E(f335(f335(f41(a1),f335(f335(f86(a1),f84(a1)),f335(f335(f87(a1),f335(f110(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),x103071))),f335(f335(f87(a1),f335(f110(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),x103072)),f335(f335(f41(a1),x103071),x103072)) % 209.33/209.63 [10309]~P106(f335(f335(f243(a1),x103092),f2(a1)))+E(f335(f335(f41(a1),f335(f335(f86(a1),f84(a1)),f335(f335(f87(a1),f335(f110(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),x103091))),f335(f335(f87(a1),f335(f110(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),x103092)),f335(f335(f41(a1),f335(f335(f86(a1),x103091),f84(a1))),x103092)) % 209.33/209.63 [10310]~P106(f335(f335(f243(a1),x103102),f2(a1)))+E(f50(a1,f335(f335(f86(a1),f84(a1)),f335(f335(f87(a1),f335(f110(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),x103101)),f335(f335(f87(a1),f335(f110(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),x103102)),f335(f335(f23(a1),f335(f335(f87(a1),f335(f110(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),f50(a1,f335(f335(f86(a1),x103101),f84(a1)),x103102))),f84(a1))) % 209.33/209.63 [10180]~P93(x101801)+E(f335(f335(f252(x101801),f335(f110(x101801),a104)),f335(a119,f335(f335(f87(a927),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),x101802))),f335(f110(x101801),a104)) % 209.33/209.63 [10182]~P140(x101821)+E(f335(f335(f252(x101821),f335(f85(x101821),f84(x101821))),f335(a119,f335(f335(f87(a927),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),x101822))),f335(f85(x101821),f84(x101821))) % 209.33/209.63 [5184]P38(x51841,x51842)+~P8(x51841,x51843,x51842) % 209.33/209.63 [5186]P52(x51861,x51862)+~P8(x51861,x51863,x51862) % 209.33/209.63 [5358]~P8(x53581,x53582,x53583)+P53(x53581,x53582,x53583) % 209.33/209.63 [8272]~E(x82722,x82723)+P34(x82721,x82721,a332,x82722,x82723) % 209.33/209.63 [8816]E(x88161,x88162)+~P34(x88163,x88163,a332,x88161,x88162) % 209.33/209.63 [4992]E(f176(x49921,x49922,x49923),f120(x49921))+~E(x49922,f2(a927)) % 209.33/209.63 [5160]~E(f176(x51602,x51601,x51603),f120(x51602))+E(x51601,f2(a927)) % 209.33/209.63 [5363]~P37(x53631,x53633)+P37(x53631,f329(x53631,x53632,x53633)) % 209.33/209.63 [5472]~P29(x54721,x54722,x54723)+P31(a1,x54721,f185(x54722,x54723)) % 209.33/209.63 [5544]P29(x55441,x55442,x55443)+~P31(a1,x55441,f185(x55442,x55443)) % 209.33/209.63 [5614]~P8(x56141,x56142,x56143)+P8(f928(x56141),f168(x56141,x56142),f165(x56141,x56143)) % 209.33/209.63 [5615]~P53(x56151,x56152,x56153)+P53(f928(x56151),f168(x56151,x56152),f165(x56151,x56153)) % 209.33/209.63 [5727]P56(x57271,x57272,x57273)+~E(f842(x57273,x57272,x57271),f843(x57273,x57272,x57271)) % 209.33/209.63 [5728]P55(x57281,x57282,x57283)+~E(f600(x57283,x57282,x57281),f601(x57283,x57282,x57281)) % 209.33/209.63 [8278]~E(x82782,x82783)+P26(x82781,x82781,f25(x82781),x82782,x82783) % 209.33/209.63 [8824]E(x88241,x88242)+~P26(x88243,x88243,f25(x88243),x88241,x88242) % 209.33/209.63 [4947]~E(f335(f175(x49472),x49471),x49473)+E(x49471,f335(f175(x49472),x49473)) % 209.33/209.63 [4948]~E(x49482,f335(f175(x49481),x49483))+E(f335(f175(x49481),x49482),x49483) % 209.33/209.63 [4998]E(x49981,x49982)+~E(f335(f175(x49983),x49981),f335(f175(x49983),x49982)) % 209.33/209.63 [5210]~P7(x52103,x52101)+P106(f335(f335(x52101,x52102),x52102)) % 209.33/209.63 [5211]~P48(x52113,x52111)+P106(f335(f335(x52111,x52112),x52112)) % 209.33/209.63 [5213]~P60(x52131,x52132)+P106(f335(f323(x52131,x52132),x52133)) % 209.33/209.63 [5278]~P37(x52781,x52782)+P37(f928(x52781),f335(f150(x52781,x52782),x52783)) % 209.33/209.63 [5283]~P106(f335(x52832,x52833))+~E(f335(f270(x52831),x52832),f195(f934(x52831,a922))) % 209.33/209.63 [5284]~P106(f335(x52842,x52843))+~E(f195(f934(x52841,a922)),f335(f270(x52841),x52842)) % 209.33/209.63 [5296]E(x52961,f2(a927))+E(f151(x52962,f176(x52962,x52961,x52963)),x52963) % 209.33/209.63 [5315]~P106(f335(x53151,x53153))+P106(f335(x53151,f96(x53152,x53151))) % 209.33/209.63 [5316]~P106(f335(x53161,x53163))+P106(f335(x53161,f760(x53161,x53162))) % 209.33/209.63 [5328]E(x53281,f2(a927))+E(f335(f148(x53282),f176(x53282,x53281,x53283)),x53283) % 209.33/209.63 [5434]~E(x54342,x54343)+P106(f335(f335(f337(x54341),x54342),f335(a332,x54343))) % 209.33/209.63 [5449]~E(x54492,f2(a927))+E(f335(f179(x54491),f176(x54491,x54492,x54493)),f195(f934(x54491,a922))) % 209.33/209.63 [5494]E(f335(f175(x54941),x54942),f335(f335(f158(x54941),x54943),f120(x54941)))+~E(x54942,f335(f335(f158(x54941),x54943),f120(x54941))) % 209.33/209.63 [5495]~E(x54953,f335(f335(f158(x54951),x54952),f120(x54951)))+E(f335(f335(f158(x54951),x54952),f120(x54951)),f335(f175(x54951),x54953)) % 209.33/209.63 [5540]~P33(x55401,x55402,x55403)+P33(x55401,x55402,f335(f175(x55401),x55403)) % 209.33/209.63 [5541]~P31(x55411,x55412,x55413)+P31(x55411,x55412,f335(f175(x55411),x55413)) % 209.33/209.63 [5545]E(f335(f40(x55451),f400(x55452,x55453,x55451)),x55452)+~E(f335(f40(x55451),x55453),f335(a119,x55452)) % 209.33/209.63 [5552]~P37(x55521,x55523)+P106(f335(f335(f337(x55521),x55522),f324(x55521,x55523))) % 209.33/209.63 [5556]~E(f335(f175(x55562),x55561),f335(f335(f158(x55562),x55563),f120(x55562)))+E(x55561,f335(f335(f158(x55562),x55563),f120(x55562))) % 209.33/209.63 [5557]~E(f335(f335(f158(x55572),x55573),f120(x55572)),f335(f175(x55572),x55571))+E(x55571,f335(f335(f158(x55572),x55573),f120(x55572))) % 209.33/209.63 [5580]E(f91(f933(a927,a927),f53(x55801,x55802)),x55803)+~P106(f335(f53(x55801,x55802),x55803)) % 209.33/209.63 [5618]P33(x56181,x56182,x56183)+~P33(x56181,x56182,f335(f175(x56181),x56183)) % 209.33/209.63 [5619]P31(x56191,x56192,x56193)+~P31(x56191,x56192,f335(f175(x56191),x56193)) % 209.33/209.63 [5657]P106(f335(f335(x56571,x56572),x56572))+~P106(f335(f278(x56573,x56571),x56572)) % 209.33/209.63 [5658]~P106(f335(f335(x56582,x56583),x56583))+P106(f335(f278(x56581,x56582),x56583)) % 209.33/209.63 [5680]~E(x56802,f120(x56801))+P106(f335(f335(f337(f928(x56801)),x56802),f168(x56801,x56803))) % 209.33/209.63 [5690]~P56(x56901,x56902,x56903)+P56(x56901,x56902,f335(f294(x56901,x56901),x56903)) % 209.33/209.63 [5691]~P53(x56911,x56912,x56913)+P53(x56911,x56912,f335(f294(x56911,x56911),x56913)) % 209.33/209.63 [5708]~P62(x57081)+E(f50(x57081,f50(x57081,x57082,x57083),x57083),f50(x57081,x57082,x57083)) % 209.33/209.63 [5809]E(x58091,x58092)+~P106(f335(f335(f337(x58093),x58091),f335(a332,x58092))) % 209.33/209.63 [5855]~P146(x58551)+E(f197(x58551,x58552,f2(a927),x58553),x58553) % 209.33/209.63 [5877]P56(x58771,x58772,x58773)+~P56(x58771,x58772,f335(f294(x58771,x58771),x58773)) % 209.33/209.63 [5878]P53(x58781,x58782,x58783)+~P53(x58781,x58782,f335(f294(x58781,x58781),x58783)) % 209.33/209.63 [5882]~P108(x58822)+E(f157(x58821,x58822,x58823,f120(x58821)),f120(x58821)) % 209.33/209.63 [5894]E(f177(x58941,x58942,f159(x58941,x58943)),f159(x58941,f177(x58941,x58942,x58943)))+~P106(f335(f144(x58941),x58943)) % 209.33/209.63 [5993]~P106(f335(f335(x59933,x59932),x59932))+P106(f335(f335(f337(x59931),x59932),f278(x59931,x59933))) % 209.33/209.63 [5995]E(f335(f143(x59951,x59952),x59953),f120(x59951))+P106(f335(x59952,f696(x59953,x59952,x59951))) % 209.33/209.63 [6054]E(f73(x60541,x60542,x60543),x60542)+P106(f335(x60543,f761(x60542,x60541,x60543))) % 209.33/209.63 [6146]~P106(f335(f144(x61461),x61462))+P106(f335(f144(x61461),f183(x61461,x61462,x61463))) % 209.33/209.63 [6147]~P106(f335(f144(x61471),x61473))+P106(f335(f144(x61471),f177(x61471,x61472,x61473))) % 209.33/209.63 [6148]~P106(f335(f144(x61481),x61483))+P106(f335(f144(x61481),f184(x61481,x61482,x61483))) % 209.33/209.63 [6149]~P106(f335(f144(x61491),x61493))+P106(f335(f144(x61491),f147(x61491,x61492,x61493))) % 209.33/209.63 [6150]~P147(x61501,x61503,x61502)+P106(f335(x61501,f50(a1,x61502,x61503))) % 209.33/209.63 [6166]~P33(x61663,x61661,x61662)+P106(f335(x61661,f773(x61662,x61661,x61663))) % 209.33/209.63 [6167]~P35(x61673,x61671,x61672)+P106(f335(x61671,f780(x61672,x61671,x61673))) % 209.33/209.63 [6168]~P35(x61683,x61681,x61682)+P106(f335(x61681,f793(x61682,x61681,x61683))) % 209.33/209.63 [6169]~P33(x61693,x61691,x61692)+P106(f335(x61691,f819(x61691,x61692,x61693))) % 209.33/209.63 [6170]~P33(x61703,x61701,x61702)+P106(f335(x61701,f821(x61702,x61701,x61703))) % 209.33/209.63 [6174]P106(f335(f335(x61741,x61742),x61742))+~P106(f335(f335(f337(x61743),x61742),f278(x61743,x61741))) % 209.33/209.63 [6189]E(f335(f143(x61891,x61892),x61893),f184(x61891,x61892,x61893))+P106(f335(x61892,f745(x61893,x61892,x61891))) % 209.33/209.63 [6229]~P106(f335(f144(x62291),x62293))+P106(f335(f144(f928(x62291)),f60(x62291,x62292,x62293))) % 209.33/209.63 [6263]~P110(x62631)+E(f335(f335(f108(f934(x62631,a922)),f335(f290(x62631),x62632)),f311(x62631,x62632,x62633)),f195(f934(x62631,a922))) % 209.33/209.63 [6264]~P110(x62641)+E(f335(f335(f108(f934(x62641,a922)),f335(f309(x62641),x62642)),f314(x62641,x62642,x62643)),f195(f934(x62641,a922))) % 209.33/209.63 [6265]~P110(x62651)+E(f335(f335(f108(f934(x62651,a922)),f335(f309(x62651),x62652)),f313(x62651,x62652,x62653)),f195(f934(x62651,a922))) % 209.33/209.63 [6493]E(f335(f143(x64931,x64932),x64933),x64933)+~P106(f335(x64932,f697(x64933,x64932,x64931))) % 209.33/209.63 [6495]E(f335(f335(f317(x64951),f406(x64952,x64953,x64951)),f400(x64952,x64953,x64951)),x64953)+~E(f335(f40(x64951),x64953),f335(a119,x64952)) % 209.33/209.63 [6510]P147(x65101,x65102,x65103)+~P106(f335(x65101,f50(a1,x65103,x65102))) % 209.33/209.63 [6559]P31(x65591,x65592,x65593)+~P106(f335(x65592,f781(x65593,x65592,x65591))) % 209.33/209.63 [6560]P31(x65601,x65602,x65603)+~P106(f335(x65602,f791(x65602,x65603,x65601))) % 209.33/209.63 [6561]P31(x65611,x65612,x65613)+~P106(f335(x65612,f792(x65613,x65612,x65611))) % 209.33/209.63 [6562]P29(x65621,x65622,x65623)+~P106(f335(x65621,f805(x65623,x65622,x65621))) % 209.33/209.63 [6563]P30(x65631,x65632,x65633)+~P106(f335(x65631,f848(x65633,x65632,x65631))) % 209.33/209.63 [6565]E(f184(x65651,x65652,x65653),x65653)+~P106(f335(x65652,f740(x65653,x65652,x65651))) % 209.33/209.63 [6643]~P106(f335(x66432,f574(x66433,x66432,x66431)))+P106(f335(f256(x66431,x66432),x66433)) % 209.33/209.63 [6644]~P106(f335(x66442,f698(x66443,x66442,x66441)))+P106(f335(f167(x66441,x66442),x66443)) % 209.33/209.63 [6892]~P106(f335(f323(x68921,x68922),f453(x68923,x68922,x68921)))+P106(f335(f323(x68921,x68922),x68923)) % 209.33/209.63 [6893]~P106(f335(f323(x68931,x68932),f461(x68933,x68932,x68931)))+P106(f335(f323(x68931,x68932),x68933)) % 209.33/209.63 [7504]~P62(x75041)+E(f335(f335(f86(x75041),f335(f335(f87(x75041),x75042),f335(f335(f41(x75041),x75043),x75042))),f50(x75041,x75043,x75042)),x75043) % 209.33/209.63 [7533]P29(x75331,x75332,x75333)+P106(f335(f335(f337(a1),f805(x75333,x75332,x75331)),f311(a1,x75332,x75333))) % 209.33/209.63 [7956]E(f335(f335(f260(x79561,x79561),f893(x79562,x79563,x79561)),f893(x79562,x79563,x79561)),x79563)+~P106(f335(f335(f337(f933(x79561,x79561)),x79563),f271(x79561,x79562))) % 209.33/209.63 [8070]~P106(f335(f335(f337(x80701),f559(x80703,x80702,x80701)),f324(x80701,x80703)))+P106(f335(f335(f337(x80701),x80702),f324(x80701,x80703))) % 209.33/209.63 [8071]~P106(f335(f335(f337(x80711),f603(x80713,x80712,x80711)),f324(x80711,x80713)))+P106(f335(f335(f337(x80711),x80712),f324(x80711,x80713))) % 209.33/209.63 [8072]~P106(f335(f335(f337(x80721),f606(x80723,x80722,x80721)),f324(x80721,x80723)))+P106(f335(f335(f337(x80721),x80722),f324(x80721,x80723))) % 209.33/209.63 [8164]P33(a1,x81641,f185(x81642,x81643))+P29(f335(f78(a922,a922,a1,a330),x81641),x81642,x81643) % 209.33/209.63 [8253]~P62(x82531)+E(f335(f335(f86(x82531),f335(f335(f87(x82531),f335(f335(f41(x82531),x82532),x82533)),x82533)),f50(x82531,x82532,x82533)),x82532) % 209.33/209.63 [8299]~E(f335(f40(x82991),x82992),f335(a119,x82993))+~P106(f335(f335(f337(x82991),f406(x82993,x82992,x82991)),f400(x82993,x82992,x82991))) % 209.33/209.63 [8734]~P33(a1,x87341,f185(x87342,x87343))+~P29(f335(f78(a922,a922,a1,a330),x87341),x87342,x87343) % 209.33/209.63 [8921]P106(f335(f335(f243(f934(f933(x89211,x89211),a922)),f315(x89211,x89212)),f315(x89211,x89213)))+~P106(f335(f335(f243(f934(f933(x89211,x89211),a922)),x89212),f315(x89211,x89213))) % 209.33/209.63 [9205]E(x92051,f120(x92052))+~P106(f335(f335(f337(f933(f928(x92052),f928(x92052))),f335(f335(f260(f928(x92052),f928(x92052)),x92051),f120(x92052))),f165(x92052,x92053))) % 209.33/209.63 [9229]E(x92291,f120(x92292))+~P106(f335(f335(f337(f933(f928(x92292),f928(x92292))),f335(f335(f260(f928(x92292),f928(x92292)),f120(x92292)),x92291)),f165(x92292,x92293))) % 209.33/209.63 [9355]E(f335(f335(f158(x93551),f714(x93552,x93553,x93551)),f715(x93552,x93553,x93551)),x93553)+~P106(f335(f335(f337(f933(f928(x93551),f928(x93551))),f335(f335(f260(f928(x93551),f928(x93551)),f120(x93551)),x93553)),f154(x93551,x93552))) % 209.33/209.63 [9589]~P127(x95891)+~P106(f335(f335(f244(x95891),f335(f335(f86(x95891),f335(f335(f87(x95891),x95892),x95892)),f335(f335(f87(x95891),x95893),x95893))),f2(x95891))) % 209.33/209.63 [9638]P106(f335(f66(x96381),x96382))+~P106(f335(f335(f337(f933(f934(x96381,a922),f934(x96381,a922))),f335(f335(f260(f934(x96381,a922),f934(x96381,a922)),x96383),x96382)),f322(x96381))) % 209.33/209.63 [9933]~P46(x99331,x99332,x99333)+P106(f335(f335(f243(a1),f335(f335(f78(f933(a1,a1),a1,x99331,f259(a1,a1)),f221(x99331)),f239(x99331,x99332,f236(x99331,x99333)))),f2(a1))) % 209.33/209.63 [9934]~P47(x99341,x99342,x99343)+P106(f335(f335(f244(a1),f335(f335(f78(f933(a1,a1),a1,x99341,f259(a1,a1)),f221(x99341)),f239(x99341,x99342,f236(x99341,x99343)))),f2(a1))) % 209.33/209.63 [10054]P47(x100541,x100542,x100543)+~P106(f335(f335(f244(a1),f335(f335(f78(f933(a1,a1),a1,x100541,f259(a1,a1)),f221(x100541)),f239(x100541,x100542,f236(x100541,x100543)))),f2(a1))) % 209.33/209.63 [10055]P46(x100551,x100552,x100553)+~P106(f335(f335(f243(a1),f335(f335(f78(f933(a1,a1),a1,x100551,f259(a1,a1)),f221(x100551)),f239(x100551,x100552,f236(x100551,x100553)))),f2(a1))) % 209.33/209.63 [10412]~P122(x104121)+~P106(f335(f335(f244(x104121),f335(f335(f86(x104121),f335(f335(f252(x104121),x104122),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))),f335(f335(f252(x104121),x104123),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))))),f2(x104121))) % 209.33/209.63 [4977]~E(x49773,f120(x49771))+E(f335(f335(f141(x49771),x49772),x49773),x49772) % 209.33/209.63 [4978]~E(x49782,f120(x49781))+E(f335(f335(f141(x49781),x49782),x49783),x49783) % 209.33/209.63 [4984]~E(x49842,f2(a927))+E(f335(f335(f182(x49841),x49842),x49843),f120(x49841)) % 209.33/209.63 [4993]~E(x49933,f120(x49931))+E(f335(f335(f182(x49931),x49932),x49933),f120(x49931)) % 209.33/209.63 [5032]~E(x50321,x50323)+E(x50321,f335(f335(f141(x50322),f120(x50322)),x50323)) % 209.33/209.63 [5123]~P1(x51232)+E(f335(f195(f934(x51231,x51232)),x51233),f195(x51232)) % 209.33/209.63 [5124]~P111(x51242)+E(f335(f250(f934(x51241,x51242)),x51243),f250(x51242)) % 209.33/209.63 [5142]E(x51421,f120(x51422))+~E(f335(f335(f141(x51422),x51423),x51421),x51423) % 209.33/209.63 [5143]E(x51431,f120(x51432))+~E(f335(f335(f141(x51432),x51431),x51433),x51433) % 209.33/209.63 [5151]E(x51511,f120(x51512))+~E(f335(f335(f141(x51512),x51513),x51511),f120(x51512)) % 209.33/209.63 [5152]E(x51521,f120(x51522))+~E(f335(f335(f141(x51522),x51521),x51523),f120(x51522)) % 209.33/209.63 [5177]~E(x51772,f2(a927))+E(f335(f335(f87(a927),x51771),x51772),f335(f335(f87(a927),x51773),x51772)) % 209.33/209.63 [5179]~E(x51791,f2(a927))+E(f335(f335(f87(a927),x51791),x51792),f335(f335(f87(a927),x51791),x51793)) % 209.33/209.63 [5237]~P116(x52371)+E(f335(f335(f87(x52371),x52372),x52373),f335(f335(f87(x52371),x52373),x52372)) % 209.33/209.63 [5238]~P96(x52381)+E(f335(f335(f108(x52381),x52382),x52383),f335(f335(f108(x52381),x52383),x52382)) % 209.33/209.63 [5240]~P101(x52401)+E(f335(f335(f108(x52401),x52402),x52403),f335(f335(f108(x52401),x52403),x52402)) % 209.33/209.63 [5241]~P96(x52411)+E(f335(f335(f117(x52411),x52412),x52413),f335(f335(f117(x52411),x52413),x52412)) % 209.33/209.63 [5243]~P102(x52431)+E(f335(f335(f117(x52431),x52432),x52433),f335(f335(f117(x52431),x52433),x52432)) % 209.33/209.63 [5244]~P116(x52441)+E(f335(f335(f86(x52441),x52442),x52443),f335(f335(f86(x52441),x52443),x52442)) % 209.33/209.63 [5246]~P108(x52461)+E(f335(f335(f241(x52461),x52462),x52463),f335(f335(f241(x52461),x52463),x52462)) % 209.33/209.63 [5248]~P108(x52481)+E(f335(f335(f242(x52481),x52482),x52483),f335(f335(f242(x52481),x52483),x52482)) % 209.33/209.63 [5310]E(f50(a927,x53101,x53102),f2(a927))+~E(x53101,f335(f335(f87(a927),x53102),x53103)) % 209.33/209.63 [5311]E(f50(a1,x53111,x53112),f2(a1))+~E(x53111,f335(f335(f87(a1),x53112),x53113)) % 209.33/209.63 [5375]E(x53751,x53752)+~E(f335(f335(f86(a927),x53753),x53751),f335(f335(f86(a927),x53753),x53752)) % 209.33/209.63 [5376]E(x53761,x53762)+~E(f335(f335(f86(a927),x53761),x53763),f335(f335(f86(a927),x53762),x53763)) % 209.33/209.63 [5386]~P90(x53861)+E(f335(f335(f108(x53861),x53862),f335(f85(x53861),x53863)),f335(f335(f23(x53861),x53862),x53863)) % 209.33/209.63 [5387]~P3(x53871)+E(f335(f335(f86(x53871),x53872),f335(f85(x53871),x53873)),f335(f335(f23(x53871),x53872),x53873)) % 209.33/209.63 [5388]~P4(x53881)+E(f335(f335(f86(x53881),x53882),f335(f85(x53881),x53883)),f335(f335(f23(x53881),x53882),x53883)) % 209.33/209.63 [5389]~P114(x53891)+E(f335(f335(f86(x53891),x53892),f335(f85(x53891),x53893)),f335(f335(f23(x53891),x53892),x53893)) % 209.33/209.63 [5390]~P3(x53901)+E(f335(f335(f23(x53901),x53902),f335(f85(x53901),x53903)),f335(f335(f86(x53901),x53902),x53903)) % 209.33/209.63 [5428]~P106(f335(x54283,x54282))+P106(f335(f335(f337(x54281),x54282),x54283)) % 209.33/209.63 [5430]~P75(x54302)+E(f335(f335(f6(x54301,x54302),x54303),f195(f934(x54301,a922))),f2(x54302)) % 209.33/209.63 [5432]~P71(x54322)+E(f335(f335(f9(x54321,x54322),x54323),f195(f934(x54321,a922))),f84(x54322)) % 209.33/209.63 [5484]~E(x54842,f335(f335(f86(a927),x54841),x54843))+P106(f335(f335(f243(a927),x54841),x54842)) % 209.33/209.63 [5487]~E(x54872,f195(f934(x54871,a922)))+E(f335(f335(f65(x54871),x54872),x54873),f195(f934(f934(x54871,a922),a922))) % 209.33/209.63 [5488]~E(x54882,f195(f934(x54881,a922)))+E(f195(f934(f934(x54881,a922),a922)),f335(f335(f65(x54881),x54882),x54883)) % 209.33/209.63 [5560]~E(f335(f292(x55602,x55603),x55601),f195(f934(x55603,a922)))+E(x55601,f195(f934(f933(x55602,x55603),a922))) % 209.33/209.63 [5561]~E(f335(f272(x55612,x55613),x55611),f195(f934(x55612,a922)))+E(x55611,f195(f934(f933(x55612,x55613),a922))) % 209.33/209.63 [5593]E(f335(f292(x55931,x55932),x55933),f195(f934(x55932,a922)))+~E(x55933,f195(f934(f933(x55931,x55932),a922))) % 209.33/209.63 [5594]E(f335(f272(x55941,x55942),x55943),f195(f934(x55941,a922)))+~E(x55943,f195(f934(f933(x55941,x55942),a922))) % 209.33/209.63 [5597]E(f282(x55971,x55972,x55973),f335(f335(f23(a106),x55972),x55973))+P106(f335(f335(f244(a106),x55972),x55973)) % 209.33/209.63 [5612]P106(f335(x56121,x56122))+~P106(f335(f335(f337(x56123),x56122),x56121)) % 209.33/209.63 [5650]E(x56501,x56502)+~E(f335(f85(f934(x56503,a922)),x56501),f335(f85(f934(x56503,a922)),x56502)) % 209.33/209.63 [5661]~E(x56611,f195(f934(x56612,a922)))+~P106(f335(f335(f337(x56612),x56613),x56611)) % 209.33/209.63 [5692]~E(x56922,f335(f335(f86(a1),x56921),f335(f107(a1),x56923)))+P106(f335(f335(f243(a1),x56921),x56922)) % 209.33/209.63 [5706]E(f335(f335(f317(x57061),x57062),x57063),x57063)+~P106(f335(f335(f337(x57061),x57062),x57063)) % 209.33/209.63 [5717]E(x57171,f195(f934(x57172,a922)))+~E(f335(f335(f65(x57172),x57171),x57173),f195(f934(f934(x57172,a922),a922))) % 209.33/209.63 [5718]E(x57181,f195(f934(x57182,a922)))+~E(f195(f934(f934(x57182,a922),a922)),f335(f335(f65(x57182),x57181),x57183)) % 209.33/209.63 [5724]~P121(x57241)+E(f335(f335(f87(x57241),f335(f85(x57241),x57242)),f335(f85(x57241),x57243)),f335(f335(f87(x57241),x57242),x57243)) % 209.33/209.63 [5726]~P65(x57261)+E(f335(f335(f299(x57261),f335(f85(x57261),x57262)),f335(f85(x57261),x57263)),f335(f335(f299(x57261),x57262),x57263)) % 209.33/209.63 [5758]~P106(f335(x57583,x57582))+P106(f335(f335(f337(x57581),x57582),f335(f270(x57581),x57583))) % 209.33/209.63 [5783]E(x57831,f2(a927))+E(f335(f179(x57832),f176(x57832,x57831,x57833)),f335(f335(f317(x57832),x57833),f195(f934(x57832,a922)))) % 209.33/209.63 [5802]E(f177(x58021,x58022,x58023),x58023)+P106(f335(f335(f337(x58021),x58022),f335(f179(x58021),x58023))) % 209.33/209.63 [5886]~P106(f335(f144(x58861),x58863))+P106(f335(f144(x58861),f335(f143(x58861,x58862),x58863))) % 209.33/209.63 [5929]~P62(x59291)+E(f335(f335(f41(x59291),f50(x59291,x59292,x59293)),x59293),f2(x59291)) % 209.33/209.63 [5948]E(f183(x59481,f335(f335(f158(x59481),x59482),f120(x59481)),x59483),f120(x59481))+P106(f335(f335(f337(a927),f2(a927)),x59483)) % 209.33/209.63 [5954]E(x59541,f2(a927))+E(f335(f178(x59542),f176(x59542,x59541,x59543)),f176(x59542,f335(f335(f23(a927),x59541),f84(a927)),x59543)) % 209.33/209.63 [6005]E(f335(f335(f158(x60051),x60052),x60053),f147(x60051,x60052,x60053))+P106(f335(f335(f337(x60051),x60052),f335(f179(x60051),x60053))) % 209.33/209.63 [6014]E(x60141,x60142)+~E(f335(f335(f87(a927),f335(a119,x60143)),x60141),f335(f335(f87(a927),f335(a119,x60143)),x60142)) % 209.33/209.63 [6015]~E(x60152,f335(f335(f86(a1),x60151),f335(f107(a1),f335(a119,x60153))))+P106(f335(f335(f244(a1),x60151),x60152)) % 209.33/209.63 [6076]~P30(x60761,x60762,x60763)+P31(a927,x60761,f146(a927,f335(f310(a927,x60762),x60763))) % 209.33/209.63 [6127]~E(x61273,f120(x61271))+E(f335(f335(f335(f190(f928(x61271),f928(x61271)),x61272),f174(x61271)),x61273),f120(x61271)) % 209.33/209.63 [6131]P106(f335(x61311,x61312))+~P106(f335(f335(f337(x61313),x61312),f335(f270(x61313),x61311))) % 209.33/209.63 [6161]E(x61611,x61612)+~E(f335(f335(f317(x61613),x61611),f195(f934(x61613,a922))),f335(f335(f317(x61613),x61612),f195(f934(x61613,a922)))) % 209.33/209.63 [6176]~P110(x61761)+E(f335(f335(f108(f934(x61761,a922)),f335(f290(x61761),x61762)),f335(f310(x61761,x61762),x61763)),f195(f934(x61761,a922))) % 209.33/209.63 [6215]E(f147(x62151,x62152,x62153),x62153)+~P106(f335(f335(f337(x62151),x62152),f335(f179(x62151),x62153))) % 209.33/209.63 [6237]~P78(x62371)+E(f335(f318(x62371,x62371,f85(x62371)),f335(f310(x62371,x62372),x62373)),f313(x62371,f335(f85(x62371),x62373),f335(f85(x62371),x62372))) % 209.33/209.63 [6248]E(f335(f196(f928(x62481)),f177(x62481,x62482,x62483)),f335(f196(f928(x62481)),x62483))+P106(f335(f335(f337(x62481),x62482),f335(f179(x62481),x62483))) % 209.33/209.63 [6301]~P110(x63011)+E(f335(f335(f108(f934(x63011,a922)),f335(f310(x63011,x63012),x63013)),f335(f291(x63011),x63013)),f195(f934(x63011,a922))) % 209.33/209.63 [6321]~P78(x63211)+E(f335(f318(x63211,x63211,f85(x63211)),f314(x63211,x63212,x63213)),f314(x63211,f335(f85(x63211),x63213),f335(f85(x63211),x63212))) % 209.33/209.63 [6322]~P78(x63221)+E(f335(f318(x63221,x63221,f85(x63221)),f311(x63221,x63222,x63223)),f311(x63221,f335(f85(x63221),x63223),f335(f85(x63221),x63222))) % 209.33/209.63 [6386]E(f183(x63861,f335(f335(f158(x63861),x63862),f120(x63861)),x63863),f335(f335(f158(x63861),x63862),f120(x63861)))+~P106(f335(f335(f337(a927),f2(a927)),x63863)) % 209.33/209.63 [6391]P30(x63911,x63912,x63913)+~P31(a927,x63911,f146(a927,f335(f310(a927,x63912),x63913))) % 209.33/209.63 [6394]~P78(x63941)+E(f335(f318(x63941,x63941,f85(x63941)),f313(x63941,x63942,x63943)),f335(f310(x63941,f335(f85(x63941),x63943)),f335(f85(x63941),x63942))) % 209.33/209.63 [6414]~P63(x64141)+E(f50(x64141,f335(f85(x64141),f50(x64141,x64142,x64143)),x64143),f50(x64141,f335(f85(x64141),x64142),x64143)) % 209.33/209.63 [6508]~P106(f335(f66(f933(x65082,x65081)),x65083))+P106(f335(f66(x65081),f335(f292(x65082,x65081),x65083))) % 209.33/209.63 [6509]~P106(f335(f66(f933(x65091,x65092)),x65093))+P106(f335(f66(x65091),f335(f272(x65091,x65092),x65093))) % 209.33/209.63 [6514]~P110(x65141)+E(f335(f335(f108(f934(x65141,a922)),f314(x65141,x65142,x65143)),f335(f291(x65141),x65143)),f195(f934(x65141,a922))) % 209.33/209.63 [6515]~P110(x65151)+E(f335(f335(f108(f934(x65151,a922)),f313(x65151,x65152,x65153)),f335(f312(x65151),x65153)),f195(f934(x65151,a922))) % 209.33/209.63 [6516]~P110(x65161)+E(f335(f335(f108(f934(x65161,a922)),f311(x65161,x65162,x65163)),f335(f312(x65161),x65163)),f195(f934(x65161,a922))) % 209.33/209.63 [6585]E(f335(f335(f171(x65851),x65852),f629(x65852,x65853,x65851)),x65853)+~P106(f335(f335(f337(x65851),x65853),f335(f179(x65851),x65852))) % 209.33/209.63 [6726]E(x67261,f120(x67262))+~E(f335(f335(f335(f190(f928(x67262),f928(x67262)),x67263),f174(x67262)),x67261),f120(x67262)) % 209.33/209.63 [6830]~P106(f335(f66(f933(x68302,x68301)),x68303))+P106(f335(f66(f933(x68301,x68302)),f335(f294(x68302,x68301),x68303))) % 209.33/209.63 [6853]E(x68531,x68532)+~E(f298(a927,f295(a927),x68533,x68531),f335(f335(f317(a927),x68532),f195(f934(a927,a922)))) % 209.33/209.63 [6854]E(x68541,x68542)+~E(f298(a927,f295(a927),x68541,x68542),f335(f335(f317(a927),x68543),f195(f934(a927,a922)))) % 209.33/209.63 [6982]P56(x69821,x69822,x69823)+P106(f335(f335(f337(x69821),f843(x69823,x69822,x69821)),x69822)) % 209.33/209.63 [6983]P56(x69831,x69832,x69833)+P106(f335(f335(f337(x69831),f842(x69833,x69832,x69831)),x69832)) % 209.33/209.63 [6993]P106(f335(f323(x69931,x69932),x69933))+P106(f335(f335(x69932,f453(x69933,x69932,x69931)),x69933)) % 209.33/209.63 [6994]P106(f335(f323(x69941,x69942),x69943))+P106(f335(f335(x69942,f461(x69943,x69942,x69941)),x69943)) % 209.33/209.63 [7025]E(f335(f196(f928(x70251)),f177(x70251,x70252,x70253)),f335(f335(f23(a927),f335(f196(f928(x70251)),x70253)),f84(a927)))+~P106(f335(f335(f337(x70251),x70252),f335(f179(x70251),x70253))) % 209.33/209.63 [7064]P106(f335(f256(x70641,x70642),x70643))+P106(f335(f335(f337(x70641),f574(x70643,x70642,x70641)),x70643)) % 209.33/209.63 [7073]~P106(f335(f66(f933(x70732,x70731)),f335(f294(x70731,x70732),x70733)))+P106(f335(f66(f933(x70731,x70732)),x70733)) % 209.33/209.63 [7128]~P106(f335(f335(f337(x71281),x71282),f335(f179(x71281),f121(x71281,x71283))))+P106(f335(f335(f337(x71281),x71282),f335(f179(x71281),x71283))) % 209.33/209.63 [7161]E(f335(f143(x71611,x71612),x71613),x71613)+P106(f335(f335(f337(x71611),f697(x71613,x71612,x71611)),f335(f179(x71611),x71613))) % 209.33/209.63 [7175]E(f335(f143(x71751,x71752),x71753),f120(x71751))+P106(f335(f335(f337(x71751),f696(x71753,x71752,x71751)),f335(f179(x71751),x71753))) % 209.33/209.63 [7201]P31(x72011,x72012,x72013)+P106(f335(f335(f337(x72011),f781(x72013,x72012,x72011)),f335(f179(x72011),x72013))) % 209.33/209.63 [7202]P31(x72021,x72022,x72023)+P106(f335(f335(f337(x72021),f792(x72023,x72022,x72021)),f335(f179(x72021),x72023))) % 209.33/209.63 [7203]P31(x72031,x72032,x72033)+P106(f335(f335(f337(x72031),f791(x72032,x72033,x72031)),f335(f179(x72031),x72033))) % 209.33/209.63 [7206]E(f184(x72061,x72062,x72063),x72063)+P106(f335(f335(f337(x72061),f740(x72063,x72062,x72061)),f335(f179(x72061),x72063))) % 209.33/209.63 [7281]P106(f335(f167(x72811,x72812),x72813))+P106(f335(f335(f337(x72811),f698(x72813,x72812,x72811)),f335(f179(x72811),x72813))) % 209.33/209.63 [7290]~P33(x72901,x72903,x72902)+P106(f335(f335(f337(x72901),f773(x72902,x72903,x72901)),f335(f179(x72901),x72902))) % 209.33/209.63 [7291]~P35(x72911,x72913,x72912)+P106(f335(f335(f337(x72911),f780(x72912,x72913,x72911)),f335(f179(x72911),x72912))) % 209.33/209.63 [7292]~P35(x72921,x72923,x72922)+P106(f335(f335(f337(x72921),f793(x72922,x72923,x72921)),f335(f179(x72921),x72922))) % 209.33/209.63 [7293]~P33(x72931,x72932,x72933)+P106(f335(f335(f337(x72931),f819(x72932,x72933,x72931)),f335(f179(x72931),x72933))) % 209.33/209.63 [7294]~P33(x72941,x72943,x72942)+P106(f335(f335(f337(x72941),f821(x72942,x72943,x72941)),f335(f179(x72941),x72942))) % 209.33/209.63 [7328]P106(f335(f335(f337(x73281),x73282),f631(x73283,x73282,x73281)))+~P106(f335(f335(f337(x73281),x73282),f42(f934(x73281,a922),x73283))) % 209.33/209.63 [7329]~P75(x73291)+E(f335(f335(f86(x73291),f335(f335(f6(a927,x73291),x73292),f335(f290(a927),x73293))),f335(x73292,x73293)),f335(f335(f6(a927,x73291),x73292),f335(f290(a927),f335(a119,x73293)))) % 209.33/209.63 [7341]P30(x73411,x73412,x73413)+P106(f335(f335(f337(a927),f848(x73413,x73412,x73411)),f335(f310(a927,x73412),x73413))) % 209.33/209.63 [7419]~P33(x74192,x74191,x74193)+P106(f335(x74191,f335(f335(f171(x74192),x74193),f777(x74193,x74191,x74192)))) % 209.33/209.63 [7431]~P106(f335(f335(f337(x74311),x74312),f905(x74312,x74313,x74311)))+P106(f335(f335(f337(x74311),x74312),f43(f934(x74311,a922),x74313))) % 209.33/209.63 [7464]~P75(x74641)+E(f335(f335(f86(x74641),f335(f335(f6(a927,x74641),x74642),f335(f309(a927),x74643))),f335(x74642,f335(a119,x74643))),f335(f335(f6(a927,x74641),x74642),f335(f309(a927),f335(a119,x74643)))) % 209.33/209.63 [7606]P106(f335(f335(f337(f928(x76061)),x76062),f168(x76061,x76063)))+P106(f335(f335(f337(x76061),f682(x76063,x76062,x76061)),f335(f179(x76061),x76062))) % 209.33/209.63 [7620]~P106(f335(f335(f337(f928(x76201)),x76202),f168(x76201,f324(x76201,x76203))))+P106(f335(f335(f337(f928(x76201)),x76202),f324(f928(x76201),f164(x76201,x76203)))) % 209.33/209.63 [7645]~P106(f335(f335(f337(f928(x76451)),x76452),f324(f928(x76451),f164(x76451,x76453))))+P106(f335(f335(f337(f928(x76451)),x76452),f168(x76451,f324(x76451,x76453)))) % 209.33/209.63 [7678]E(f335(f335(f335(f190(f928(x76781),f928(x76781)),x76782),f174(x76781)),x76783),x76783)+~P106(f335(f335(f243(a927),f335(f196(f928(x76781)),x76783)),f84(a927))) % 209.33/209.63 [7711]E(f335(f335(f141(x77111),f784(x77112,x77113,x77111)),f335(f335(f158(x77111),x77113),f785(x77112,x77113,x77111))),x77112)+~P106(f335(f335(f337(x77111),x77113),f335(f179(x77111),x77112))) % 209.33/209.63 [7712]E(f335(f335(f141(x77121),f778(x77122,x77123,x77121)),f335(f335(f158(x77121),x77123),f779(x77122,x77123,x77121))),x77122)+~P106(f335(f335(f337(x77121),x77123),f335(f179(x77121),x77122))) % 209.33/209.63 [7713]E(f335(f335(f141(x77131),f786(x77132,x77133,x77131)),f335(f335(f158(x77131),x77133),f787(x77132,x77133,x77131))),x77132)+~P106(f335(f335(f337(x77131),x77133),f335(f179(x77131),x77132))) % 209.33/209.63 [7734]~P25(x77341,x77342,x77343,f250(f934(x77341,a922)))+P25(f928(x77341),f928(x77342),f335(f161(x77341,x77342),x77343),f250(f934(f928(x77341),a922))) % 209.33/209.63 [7880]E(x78801,f335(f335(f86(a927),f335(f335(f87(a927),f335(f259(a927,a927),x78802)),x78803)),f335(f264(a927,a927),x78802)))+~P106(f335(f53(x78801,x78803),x78802)) % 209.33/209.63 [7888]P25(x78881,x78882,x78883,f250(f934(x78881,a922)))+~P25(f928(x78881),f928(x78882),f335(f161(x78881,x78882),x78883),f250(f934(f928(x78881),a922))) % 209.33/209.63 [7931]P106(f335(f335(f337(f934(x79311,a922)),f905(x79312,x79313,x79311)),x79313))+P106(f335(f335(f337(x79311),x79312),f43(f934(x79311,a922),x79313))) % 209.33/209.63 [8020]P106(f335(f335(f337(f928(x80201)),x80202),f168(x80201,x80203)))+~P106(f335(f335(f337(x80201),f682(x80203,x80202,x80201)),x80203)) % 209.33/209.63 [8119]P31(x81191,x81192,x81193)+~P106(f335(x81192,f335(f335(f171(x81191),x81193),f783(x81193,x81192,x81191)))) % 209.33/209.63 [8143]E(x81431,x81432)+~E(f335(f335(f7(x81433,f934(x81433,a922),a922),f337(x81433)),x81431),f335(f335(f7(x81433,f934(x81433,a922),a922),f337(x81433)),x81432)) % 209.33/209.63 [8151]~P106(f335(f335(f337(f933(x81511,x81511)),x81513),f271(x81511,x81512)))+P106(f335(f335(f337(x81511),f893(x81512,x81513,x81511)),x81512)) % 209.33/209.63 [8153]~P106(f335(f335(f337(x81531),x81533),f42(f934(x81531,a922),x81532)))+P106(f335(f335(f337(f934(x81531,a922)),f631(x81532,x81533,x81531)),x81532)) % 209.33/209.63 [8273]P25(x82731,x82732,f97(x82732,x82731,f250(f934(x82732,a922)),x82733),f250(f934(x82731,a922)))+~E(f335(f318(x82732,x82731,x82733),f250(f934(x82732,a922))),f250(f934(x82731,a922))) % 209.33/209.63 [8327]~P106(f335(f335(f337(x83271),x83272),f335(f179(x83271),f778(x83273,x83272,x83271))))+~P106(f335(f335(f337(x83271),x83272),f335(f179(x83271),x83273))) % 209.33/209.63 [8328]~P106(f335(f335(f337(x83281),x83282),f335(f179(x83281),f787(x83283,x83282,x83281))))+~P106(f335(f335(f337(x83281),x83282),f335(f179(x83281),x83283))) % 209.33/209.63 [8352]P30(f335(f78(a922,a922,a927,a330),x83521),x83522,x83523)+P33(a927,x83521,f146(a927,f335(f310(a927,x83522),x83523))) % 209.33/209.63 [8514]E(x85141,f120(x85142))+P106(f335(f335(f337(x85142),f335(f259(x85142,f933(a106,a106)),f335(f283(x85142,x85141),x85143))),f335(f179(x85142),x85141))) % 209.33/209.63 [8612]~P70(x86121)+E(f335(f149(x86121,x86121,f335(f7(x86121,x86121,x86121),f86(x86121)),x86122),f335(f175(x86121),x86123)),f335(f149(x86121,x86121,f86(x86121),x86122),x86123)) % 209.33/209.63 [8804]~P25(x88042,x88041,x88043,f250(f934(x88042,a922)))+E(f335(f318(x88041,x88042,f97(x88042,x88041,f250(f934(x88042,a922)),x88043)),f250(f934(x88041,a922))),f250(f934(x88042,a922))) % 209.33/209.63 [8874]~P30(f335(f78(a922,a922,a927,a330),x88741),x88742,x88743)+~P33(a927,x88741,f146(a927,f335(f310(a927,x88742),x88743))) % 209.33/209.63 [9121]~P108(x91211)+E(f335(f179(x91211),f156(x91211,x91211,f5(x91211),x91212,x91213)),f335(f335(f317(x91211),x91212),f335(f179(x91211),x91213))) % 209.33/209.63 [9132]~E(f335(x91323,f335(f97(x91321,x91322,f250(f934(x91321,a922)),x91323),f586(x91323,x91322,x91321))),f586(x91323,x91322,x91321))+E(f335(f318(x91321,x91322,x91323),f250(f934(x91321,a922))),f250(f934(x91322,a922))) % 209.33/209.63 [9134]P106(f335(f335(f244(a927),f2(a927)),f616(x91341,x91342,x91343)))+~P106(f335(f335(f337(f933(x91343,x91343)),x91342),f335(f335(f297(x91343,x91343,x91343),x91341),f315(x91343,x91341)))) % 209.33/209.63 [9412]~P58(x94121,x94122)+~P106(f335(f335(f337(f933(x94121,x94121)),f335(f335(f260(x94121,x94121),x94123),x94123)),f335(f335(f297(x94121,x94121,x94121),x94122),f315(x94121,x94122)))) % 209.33/209.63 [9544]~E(f335(f335(f108(f934(f933(x95441,x95441),a922)),f335(f294(x95441,x95441),x95442)),f315(x95441,x95442)),f195(f934(f933(x95441,x95441),a922)))+~P106(f335(f335(f337(f933(x95441,x95441)),f335(f335(f260(x95441,x95441),x95443),x95443)),f335(f335(f297(x95441,x95441,x95441),x95442),f315(x95441,x95442)))) % 209.33/209.63 [9724]~P106(f335(f66(x97241),x97242))+P106(f335(f335(f243(a927),f335(f40(x97241),f335(f335(f23(f934(x97241,a922)),x97242),f335(f335(f317(x97241),x97243),f195(f934(x97241,a922)))))),f335(f40(x97241),x97242))) % 209.33/209.63 [5298]~E(x52983,f120(x52981))+E(f151(x52981,f335(f335(f158(x52981),x52982),x52983)),x52982) % 209.33/209.63 [5307]~E(x53073,f120(x53071))+E(f121(x53071,f335(f335(f158(x53071),x53072),x53073)),f120(x53071)) % 209.33/209.63 [5337]E(x53371,f120(x53372))+E(f151(x53372,f335(f335(f158(x53372),x53373),x53371)),f151(x53372,x53371)) % 209.33/209.63 [5339]E(x53391,f120(x53392))+E(f151(x53392,f335(f335(f141(x53392),x53393),x53391)),f151(x53392,x53391)) % 209.33/209.63 [5345]~E(x53453,f120(x53451))+E(f121(x53451,f335(f335(f141(x53451),x53452),x53453)),f121(x53451,x53452)) % 209.33/209.63 [5347]~E(x53473,f120(x53471))+E(f151(x53471,f335(f335(f141(x53471),x53472),x53473)),f151(x53471,x53472)) % 209.33/209.63 [5380]E(x53801,f120(x53802))+E(f335(f148(x53802),f335(f335(f141(x53802),x53801),x53803)),f335(f148(x53802),x53801)) % 209.33/209.63 [5408]~E(x54082,f120(x54081))+E(f335(f148(x54081),f335(f335(f141(x54081),x54082),x54083)),f335(f148(x54081),x54083)) % 209.33/209.63 [5460]~P96(x54601)+E(f335(f335(f108(x54601),x54602),f335(f335(f117(x54601),x54602),x54603)),x54602) % 209.33/209.63 [5461]~P96(x54611)+E(f335(f335(f117(x54611),x54612),f335(f335(f108(x54611),x54612),x54613)),x54612) % 209.33/209.63 [5462]~P108(x54621)+E(f335(f335(f241(x54621),x54622),f335(f335(f242(x54621),x54622),x54623)),x54622) % 209.33/209.63 [5463]~P108(x54631)+E(f335(f335(f242(x54631),x54632),f335(f335(f241(x54631),x54632),x54633)),x54632) % 209.33/209.63 [5482]~P62(x54821)+E(f50(x54821,f335(f335(f87(x54821),x54822),x54823),x54823),f2(x54821)) % 209.33/209.63 [5483]~P62(x54831)+E(f50(x54831,f335(f335(f87(x54831),x54832),x54833),x54832),f2(x54831)) % 209.33/209.63 [5555]~P4(x55551)+E(f335(f85(x55551),f335(f335(f23(x55551),x55552),x55553)),f335(f335(f23(x55551),x55553),x55552)) % 209.33/209.63 [5616]E(x56161,f120(x56162))+E(f121(x56162,f335(f335(f158(x56162),x56163),x56161)),f335(f335(f158(x56162),x56163),f121(x56162,x56161))) % 209.33/209.63 [5617]E(x56171,f120(x56172))+E(f121(x56172,f335(f335(f141(x56172),x56173),x56171)),f335(f335(f141(x56172),x56173),f121(x56172,x56171))) % 209.33/209.63 [5620]~P5(x56201)+E(f43(x56201,f335(f335(f317(x56201),x56202),x56203)),f335(f335(f108(x56201),x56202),f43(x56201,x56203))) % 209.33/209.63 [5621]~P5(x56211)+E(f42(x56211,f335(f335(f317(x56211),x56212),x56213)),f335(f335(f117(x56211),x56212),f42(x56211,x56213))) % 209.33/209.63 [5666]~P95(x56661)+E(f335(f335(f87(x56661),x56662),f335(f335(f87(x56661),x56662),x56663)),f335(f335(f87(x56661),x56662),x56663)) % 209.33/209.63 [5667]~P96(x56671)+E(f335(f335(f108(x56671),x56672),f335(f335(f108(x56671),x56672),x56673)),f335(f335(f108(x56671),x56672),x56673)) % 209.33/209.63 [5669]~P101(x56691)+E(f335(f335(f108(x56691),x56692),f335(f335(f108(x56691),x56692),x56693)),f335(f335(f108(x56691),x56692),x56693)) % 209.33/209.63 [5670]~P96(x56701)+E(f335(f335(f117(x56701),x56702),f335(f335(f117(x56701),x56702),x56703)),f335(f335(f117(x56701),x56702),x56703)) % 209.33/209.63 [5672]~P102(x56721)+E(f335(f335(f117(x56721),x56722),f335(f335(f117(x56721),x56722),x56723)),f335(f335(f117(x56721),x56722),x56723)) % 209.33/209.63 [5674]~P108(x56741)+E(f335(f335(f241(x56741),x56742),f335(f335(f241(x56741),x56742),x56743)),f335(f335(f241(x56741),x56742),x56743)) % 209.33/209.63 [5676]~P108(x56761)+E(f335(f335(f242(x56761),x56762),f335(f335(f242(x56761),x56762),x56763)),f335(f335(f242(x56761),x56762),x56763)) % 209.33/209.63 [5683]~P62(x56831)+E(f50(x56831,f335(f335(f86(x56831),x56832),x56833),x56833),f50(x56831,x56832,x56833)) % 209.33/209.63 [5684]~P62(x56841)+E(f50(x56841,f335(f335(f86(x56841),x56842),x56843),x56842),f50(x56841,x56843,x56842)) % 209.33/209.63 [5693]~P121(x56931)+E(f335(f335(f87(x56931),x56932),f335(f85(x56931),x56933)),f335(f85(x56931),f335(f335(f87(x56931),x56932),x56933))) % 209.33/209.63 [5694]~P65(x56941)+E(f335(f335(f299(x56941),x56942),f335(f85(x56941),x56943)),f335(f85(x56941),f335(f335(f299(x56941),x56942),x56943))) % 209.33/209.63 [5695]~P81(x56951)+E(f335(f335(f86(x56951),x56952),f335(f172(x56951),x56953)),f335(f172(x56951),f335(f335(f158(x56951),x56952),x56953))) % 209.33/209.63 [5723]~P121(x57231)+E(f335(f335(f87(x57231),f335(f85(x57231),x57232)),x57233),f335(f335(f87(x57231),x57232),f335(f85(x57231),x57233))) % 209.33/209.63 [5729]~P8(x57291,x57292,x57293)+E(f42(f934(x57291,a922),f335(f335(f65(x57291),x57292),x57293)),x57292) % 209.33/209.63 [5794]~P115(x57941)+E(f335(f335(f87(x57941),x57942),f335(f335(f252(x57941),x57942),x57943)),f335(f335(f252(x57941),x57942),f335(a119,x57943))) % 209.33/209.63 [5795]~P116(x57951)+E(f335(f335(f87(x57951),x57952),f335(f335(f252(x57951),x57952),x57953)),f335(f335(f252(x57951),x57952),f335(a119,x57953))) % 209.33/209.63 [5805]~P3(x58051)+E(f335(f335(f86(x58051),f335(f85(x58051),x58052)),f335(f335(f86(x58051),x58052),x58053)),x58053) % 209.33/209.63 [5828]~P146(x58281)+E(f335(f335(f252(x58281),f335(f107(x58281),x58282)),x58283),f335(f107(x58281),f335(f335(f252(a927),x58282),x58283))) % 209.33/209.63 [5829]~P140(x58291)+E(f335(f335(f252(x58291),f335(f109(x58291),x58292)),x58293),f335(f109(x58291),f335(f335(f252(a1),x58292),x58293))) % 209.33/209.63 [5835]~P85(x58351)+E(f335(f81(x58351),f335(f335(f23(x58351),x58352),x58353)),f335(f81(x58351),f335(f335(f23(x58351),x58353),x58352))) % 209.33/209.63 [5837]~P122(x58371)+E(f335(f335(f87(x58371),f88(x58371,x58372)),f88(x58371,x58373)),f88(x58371,f335(f335(f87(x58371),x58372),x58373))) % 209.33/209.63 [5841]E(x58411,f120(x58412))+E(f335(f335(f141(x58412),f335(f178(x58412),x58411)),x58413),f335(f178(x58412),f335(f335(f141(x58412),x58411),x58413))) % 209.33/209.63 [5846]~E(x58462,f335(a119,f335(f335(f86(a927),x58461),x58463)))+P106(f335(f335(f244(a927),x58461),x58462)) % 209.33/209.63 [5847]~P121(x58471)+E(f335(f335(f87(x58471),f335(f85(x58471),x58472)),x58473),f335(f85(x58471),f335(f335(f87(x58471),x58472),x58473))) % 209.33/209.63 [5848]~P119(x58481)+E(f335(f335(f299(x58481),f335(f85(x58481),x58482)),x58483),f335(f85(x58481),f335(f335(f299(x58481),x58482),x58483))) % 209.33/209.63 [5849]~P122(x58491)+E(f335(f335(f252(x58491),f335(f81(x58491),x58492)),x58493),f335(f81(x58491),f335(f335(f252(x58491),x58492),x58493))) % 209.33/209.63 [5947]E(f827(x59471,x59472,x59473),f833(x59471,x59472,x59473))+E(f335(f335(f108(f934(x59473,a922)),x59472),x59471),f195(f934(x59473,a922))) % 209.33/209.63 [5962]~P75(x59622)+E(f335(f335(f6(x59621,x59622),f335(f16(x59622,x59621),f2(x59622))),x59623),f2(x59622)) % 209.33/209.63 [5963]~P71(x59632)+E(f335(f335(f9(x59631,x59632),f335(f16(x59632,x59631),f84(x59632))),x59633),f84(x59632)) % 209.33/209.63 [5965]~P146(x59651)+E(f335(f335(f87(x59651),f335(f107(x59651),x59652)),f335(f107(x59651),x59653)),f335(f107(x59651),f335(f335(f87(a927),x59652),x59653))) % 209.33/209.63 [5966]~P146(x59661)+E(f335(f335(f86(x59661),f335(f107(x59661),x59662)),f335(f107(x59661),x59663)),f335(f107(x59661),f335(f335(f86(a927),x59662),x59663))) % 209.33/209.63 [5967]~P140(x59671)+E(f335(f335(f23(x59671),f335(f109(x59671),x59672)),f335(f109(x59671),x59673)),f335(f109(x59671),f335(f335(f23(a1),x59672),x59673))) % 209.33/209.63 [5968]~P140(x59681)+E(f335(f335(f87(x59681),f335(f109(x59681),x59682)),f335(f109(x59681),x59683)),f335(f109(x59681),f335(f335(f87(a1),x59682),x59683))) % 209.33/209.63 [5969]~P140(x59691)+E(f335(f335(f86(x59691),f335(f109(x59691),x59692)),f335(f109(x59691),x59693)),f335(f109(x59691),f335(f335(f86(a1),x59692),x59693))) % 209.33/209.63 [5970]~P93(x59701)+E(f335(f335(f23(x59701),f335(f110(x59701),x59702)),f335(f110(x59701),x59703)),f335(f110(x59701),f335(f335(f23(a1),x59702),x59703))) % 209.33/209.63 [5973]~P93(x59731)+E(f335(f335(f87(x59731),f335(f110(x59731),x59732)),f335(f110(x59731),x59733)),f335(f110(x59731),f335(f335(f87(a1),x59732),x59733))) % 209.33/209.63 [5974]~P93(x59741)+E(f335(f335(f86(x59741),f335(f110(x59741),x59742)),f335(f110(x59741),x59743)),f335(f110(x59741),f335(f335(f86(a1),x59742),x59743))) % 209.33/209.63 [6022]~E(x60223,x60222)+P106(f335(f335(f243(f934(x60221,a922)),x60222),x60223)) % 209.33/209.63 [6028]~E(x60282,x60283)+P106(f335(f335(f243(f934(x60281,a922)),x60282),x60283)) % 209.33/209.63 [6033]~P90(x60331)+E(f335(f335(f117(x60331),f335(f85(x60331),x60332)),f335(f85(x60331),x60333)),f335(f85(x60331),f335(f335(f108(x60331),x60332),x60333))) % 209.33/209.63 [6034]~P90(x60341)+E(f335(f335(f108(x60341),f335(f85(x60341),x60342)),f335(f85(x60341),x60343)),f335(f85(x60341),f335(f335(f117(x60341),x60342),x60343))) % 209.33/209.63 [6035]~P3(x60351)+E(f335(f335(f86(x60351),f335(f85(x60351),x60352)),f335(f85(x60351),x60353)),f335(f85(x60351),f335(f335(f86(x60351),x60353),x60352))) % 209.33/209.63 [6036]~P4(x60361)+E(f335(f335(f86(x60361),f335(f85(x60361),x60362)),f335(f85(x60361),x60363)),f335(f85(x60361),f335(f335(f86(x60361),x60362),x60363))) % 209.33/209.63 [6037]~P77(x60371)+E(f335(f335(f242(x60371),f335(f85(x60371),x60372)),f335(f85(x60371),x60373)),f335(f85(x60371),f335(f335(f241(x60371),x60372),x60373))) % 209.33/209.63 [6038]~P77(x60381)+E(f335(f335(f241(x60381),f335(f85(x60381),x60382)),f335(f85(x60381),x60383)),f335(f85(x60381),f335(f335(f242(x60381),x60382),x60383))) % 209.33/209.63 [6039]~P122(x60391)+E(f335(f335(f87(x60391),f335(f81(x60391),x60392)),f335(f81(x60391),x60393)),f335(f81(x60391),f335(f335(f87(x60391),x60392),x60393))) % 209.33/209.63 [6040]~P67(x60401)+E(f335(f335(f299(x60401),f335(f81(x60401),x60402)),f335(f81(x60401),x60403)),f335(f81(x60401),f335(f335(f299(x60401),x60402),x60403))) % 209.33/209.63 [6041]~P81(x60411)+E(f335(f335(f86(x60411),f335(f172(x60411),x60412)),f335(f172(x60411),x60413)),f335(f172(x60411),f335(f335(f141(x60411),x60412),x60413))) % 209.33/209.63 [6042]E(x60421,f195(f934(x60422,a922)))+~E(f335(f335(f117(f934(x60422,a922)),x60423),x60421),f195(f934(x60422,a922))) % 209.33/209.63 [6043]E(x60431,f195(f934(x60432,a922)))+~E(f335(f335(f117(f934(x60432,a922)),x60431),x60433),f195(f934(x60432,a922))) % 209.33/209.63 [6044]~P148(x60441,x60443,x60442)+P106(f335(x60441,f335(f335(f41(a1),x60442),x60443))) % 209.33/209.63 [6100]~P106(f335(f66(x61001),x61003))+P106(f335(f66(x61001),f335(f335(f317(x61001),x61002),x61003))) % 209.33/209.63 [6101]~P106(f335(f144(x61011),x61013))+P106(f335(f144(x61011),f335(f335(f182(x61011),x61012),x61013))) % 209.33/209.63 [6102]~P106(f335(f144(x61021),x61023))+P106(f335(f144(x61021),f335(f335(f145(x61021),x61022),x61023))) % 209.33/209.63 [6132]~P96(x61321)+P106(f335(f335(f243(x61321),x61322),f335(f335(f117(x61321),x61323),x61322))) % 209.33/209.63 [6133]~P102(x61331)+P106(f335(f335(f243(x61331),x61332),f335(f335(f117(x61331),x61333),x61332))) % 209.33/209.63 [6134]~P96(x61341)+P106(f335(f335(f243(x61341),x61342),f335(f335(f117(x61341),x61342),x61343))) % 209.33/209.63 [6135]~P102(x61351)+P106(f335(f335(f243(x61351),x61352),f335(f335(f117(x61351),x61352),x61353))) % 209.33/209.63 [6136]~P108(x61361)+P106(f335(f335(f243(x61361),x61362),f335(f335(f242(x61361),x61363),x61362))) % 209.33/209.63 [6137]~P108(x61371)+P106(f335(f335(f243(x61371),x61372),f335(f335(f242(x61371),x61372),x61373))) % 209.33/209.63 [6151]~E(x61511,f2(a927))+E(f335(f335(f41(a927),f335(f335(f87(a927),x61511),x61512)),f335(f335(f87(a927),x61511),x61513)),f2(a927)) % 209.33/209.63 [6231]~P93(x62311)+E(f335(f335(f23(x62311),f335(f110(x62311),x62312)),f335(f110(x62311),x62313)),f335(f110(x62311),f335(f335(f86(a1),x62312),f335(f85(a1),x62313)))) % 209.33/209.63 [6289]E(x62891,f2(a927))+E(f335(f335(f41(a927),f335(f335(f87(a927),x62891),x62892)),f335(f335(f87(a927),x62891),x62893)),f335(f335(f41(a927),x62892),x62893)) % 209.33/209.63 [6319]E(f159(x63191,f335(f335(f158(x63191),x63192),x63193)),f335(f335(f158(x63191),x63192),f159(x63191,x63193)))+P106(f335(f335(f337(x63191),x63192),f335(f179(x63191),x63193))) % 209.33/209.63 [6355]P148(x63551,x63552,x63553)+~P106(f335(x63551,f335(f335(f41(a1),x63553),x63552))) % 209.33/209.63 [6427]E(x64271,f120(x64272))+E(f335(f335(f158(x64272),f335(f148(x64272),x64271)),f335(f335(f182(x64272),x64273),f335(f178(x64272),x64271))),f335(f335(f182(x64272),f335(a119,x64273)),x64271)) % 209.33/209.63 [6434]E(f335(f335(f23(f934(x64341,a922)),x64342),x64343),x64342)+~E(f335(f335(f108(f934(x64341,a922)),x64342),x64343),f195(f934(x64341,a922))) % 209.33/209.63 [6448]E(f159(x64481,f335(f335(f158(x64481),x64482),x64483)),f159(x64481,x64483))+~P106(f335(f335(f337(x64481),x64482),f335(f179(x64481),x64483))) % 209.33/209.63 [6478]~P106(f335(f335(f243(a927),x64781),x64783))+P106(f335(f335(f243(a927),x64781),f335(f335(f86(a927),x64782),x64783))) % 209.33/209.63 [6480]~P106(f335(f335(f243(a927),x64801),x64802))+P106(f335(f335(f243(a927),x64801),f335(f335(f86(a927),x64802),x64803))) % 209.33/209.63 [6482]~P106(f335(f335(f244(a927),x64821),x64823))+P106(f335(f335(f244(a927),x64821),f335(f335(f86(a927),x64822),x64823))) % 209.33/209.63 [6484]~P106(f335(f335(f244(a927),x64841),x64842))+P106(f335(f335(f244(a927),x64841),f335(f335(f86(a927),x64842),x64843))) % 209.33/209.63 [6522]P106(f335(f66(x65221),x65222))+~P106(f335(f66(x65221),f335(f335(f317(x65221),x65223),x65222))) % 209.33/209.63 [6523]P106(f335(f144(x65231),x65232))+~P106(f335(f144(x65231),f335(f335(f158(x65231),x65233),x65232))) % 209.33/209.63 [6524]P106(f335(f144(x65241),x65242))+~P106(f335(f144(x65241),f335(f335(f141(x65241),x65243),x65242))) % 209.33/209.63 [6525]P106(f335(f144(x65251),x65252))+~P106(f335(f144(x65251),f335(f335(f141(x65251),x65252),x65253))) % 209.33/209.63 [6575]~P116(x65751)+E(f335(f335(f86(x65751),x65752),f335(f335(f87(x65751),x65753),x65752)),f335(f335(f87(x65751),f335(f335(f86(x65751),x65753),f84(x65751))),x65752)) % 209.33/209.63 [6621]~E(x66211,x66212)+~P106(f335(f335(f244(f934(x66213,a922)),x66211),x66212)) % 209.33/209.63 [6666]P106(f335(f335(f337(x66661),x66662),x66663))+P106(f335(f335(f337(x66661),x66662),f335(f85(f934(x66661,a922)),x66663))) % 209.33/209.63 [6672]E(f151(x66721,f335(f335(f145(x66721),x66722),x66723)),f151(x66721,x66723))+~P106(f335(f335(f244(a927),x66722),f335(f196(f928(x66721)),x66723))) % 209.33/209.63 [6673]E(f335(f335(f182(x66731),x66732),f121(x66731,x66733)),f335(f335(f182(x66731),x66732),x66733))+~P106(f335(f335(f244(a927),x66732),f335(f196(f928(x66731)),x66733))) % 209.33/209.63 [6728]E(f335(f335(f335(f190(f928(x67281),f928(x67281)),x67282),f174(x67281)),x67283),x67283)+~E(f50(a927,x67282,f335(f196(f928(x67281)),x67283)),f2(a927)) % 209.33/209.63 [6735]~P8(x67351,x67353,x67352)+E(f335(f335(f297(x67351,x67351,x67351),f335(f294(x67351,x67351),x67352)),x67352),x67352) % 209.33/209.63 [6778]~E(f335(f335(f117(f934(x67781,a922)),x67782),x67783),x67783)+P106(f335(f335(f243(f934(x67781,a922)),x67782),x67783)) % 209.33/209.63 [6783]~P55(x67831,x67831,x67833)+P55(x67831,x67831,f335(f335(f190(f933(x67831,x67831),a922),x67832),x67833)) % 209.33/209.63 [6787]~P106(f335(f335(f337(x67871),x67873),f335(f179(x67871),x67872)))+P106(f335(f335(f244(a927),f2(a927)),f335(f196(f928(x67871)),x67872))) % 209.33/209.63 [6813]~P85(x68131)+E(f335(f81(x68131),f335(f335(f86(x68131),f335(f81(x68131),x68132)),f335(f81(x68131),x68133))),f335(f335(f86(x68131),f335(f81(x68131),x68132)),f335(f81(x68131),x68133))) % 209.33/209.63 [6823]E(f335(f335(f41(a927),f335(f335(f87(a927),x68231),x68232)),f335(f335(f87(a927),x68231),x68233)),f335(f335(f41(a927),x68232),x68233))+~P106(f335(f335(f244(a927),f2(a927)),x68231)) % 209.33/209.63 [6963]~P106(f335(f66(x69631),x69633))+E(f335(f335(f69(x69631,f934(x69631,a922),f317(x69631)),x69632),x69633),f335(f335(f117(f934(x69631,a922)),x69633),x69632)) % 209.33/209.63 [7018]E(f335(f335(f108(f934(x70181,a922)),x70182),x70183),x70183)+~P106(f335(f335(f243(f934(x70181,a922)),x70183),x70182)) % 209.33/209.63 [7019]E(f335(f335(f108(f934(x70191,a922)),x70192),x70193),x70192)+~P106(f335(f335(f243(f934(x70191,a922)),x70192),x70193)) % 209.33/209.63 [7020]E(f335(f335(f117(f934(x70201,a922)),x70202),x70203),x70202)+~P106(f335(f335(f243(f934(x70201,a922)),x70203),x70202)) % 209.33/209.63 [7022]E(f335(f335(f117(f934(x70221,a922)),x70222),x70223),x70223)+~P106(f335(f335(f243(f934(x70221,a922)),x70222),x70223)) % 209.33/209.63 [7071]~P106(f335(f144(x70711),x70712))+E(f335(f335(f23(f934(x70711,a922)),f335(f179(x70711),x70712)),f335(f335(f317(x70711),x70713),f195(f934(x70711,a922)))),f335(f179(x70711),f177(x70711,x70713,x70712))) % 209.33/209.63 [7123]P37(x71231,x71232)+~P37(x71231,f335(f335(f190(f933(x71231,x71231),a922),x71233),x71232)) % 209.33/209.63 [7187]P106(f335(f54(x71871,x71872),f335(a56,x71873)))+~P106(f335(f54(f335(f85(a1),x71871),f335(f85(a1),x71872)),x71873)) % 209.33/209.63 [7192]E(f335(f335(f23(f934(x71921,a922)),f335(f335(f317(x71921),x71922),x71923)),f335(f335(f317(x71921),x71922),f195(f934(x71921,a922)))),x71923)+P106(f335(f335(f337(x71921),x71922),x71923)) % 209.33/209.63 [7215]E(f335(f335(f108(f934(x72151,a922)),f335(f179(x72151),x72152)),f335(f179(x72151),x72153)),f195(f934(x72151,a922)))+~P106(f335(f144(x72151),f335(f335(f141(x72151),x72152),x72153))) % 209.33/209.63 [7230]~P106(f335(f335(f337(x72301),x72302),f335(f179(x72301),x72303)))+~P106(f335(f144(x72301),f335(f335(f158(x72301),x72302),x72303))) % 209.33/209.63 [7300]P31(x73001,x73002,x73003)+P106(f335(f335(f244(a927),f783(x73003,x73002,x73001)),f335(f196(f928(x73001)),x73003))) % 209.33/209.63 [7310]E(f335(f335(f108(f934(x73101,a922)),x73102),x73103),f195(f934(x73101,a922)))+P106(f335(f335(f337(x73101),f827(x73103,x73102,x73101)),x73102)) % 209.33/209.63 [7311]E(f335(f335(f108(f934(x73111,a922)),x73112),x73113),f195(f934(x73111,a922)))+P106(f335(f335(f337(x73111),f833(x73113,x73112,x73111)),x73113)) % 209.33/209.63 [7314]E(f121(x73141,f335(f335(f182(x73141),x73142),x73143)),f335(f335(f182(x73141),f335(f335(f23(a927),x73142),f84(a927))),x73143))+~P106(f335(f335(f243(a927),x73142),f335(f196(f928(x73141)),x73143))) % 209.33/209.63 [7374]~P33(x73743,x73742,x73741)+P106(f335(f335(f244(a927),f777(x73741,x73742,x73743)),f335(f196(f928(x73743)),x73741))) % 209.33/209.63 [7392]P106(f335(f335(f244(a927),f2(a927)),x73921))+P106(f335(f335(f243(a927),f335(f335(f87(a927),x73922),x73921)),f335(f335(f87(a927),x73923),x73921))) % 209.33/209.63 [7393]P106(f335(f335(f244(a927),f2(a927)),x73931))+P106(f335(f335(f243(a927),f335(f335(f87(a927),x73931),x73932)),f335(f335(f87(a927),x73931),x73933))) % 209.33/209.63 [7396]~P106(f335(f335(f337(x73961),x73962),x73963))+~P106(f335(f335(f337(x73961),x73962),f335(f85(f934(x73961,a922)),x73963))) % 209.33/209.63 [7402]~P106(f335(f335(f244(f934(x74021,a922)),x74022),x74023))+P106(f335(f335(f243(f934(x74021,a922)),x74022),x74023)) % 209.33/209.63 [7512]~P106(f335(f335(f243(a927),x75123),x75122))+P106(f335(f335(f243(a927),f335(f335(f23(a927),x75121),x75122)),f335(f335(f23(a927),x75121),x75123))) % 209.33/209.63 [7513]~P106(f335(f335(f243(a927),x75131),x75133))+P106(f335(f335(f243(a927),f335(f335(f23(a927),x75131),x75132)),f335(f335(f23(a927),x75133),x75132))) % 209.33/209.63 [7515]~P106(f335(f335(f243(a927),x75152),x75153))+P106(f335(f335(f243(a927),f335(f335(f87(a927),x75151),x75152)),f335(f335(f87(a927),x75151),x75153))) % 209.33/209.63 [7517]~P106(f335(f335(f243(a927),x75171),x75173))+P106(f335(f335(f243(a927),f335(f335(f87(a927),x75171),x75172)),f335(f335(f87(a927),x75173),x75172))) % 209.33/209.63 [7518]~P106(f335(f335(f243(a927),x75182),x75183))+P106(f335(f335(f243(a927),f335(f335(f86(a927),x75181),x75182)),f335(f335(f86(a927),x75181),x75183))) % 209.33/209.63 [7519]~P106(f335(f335(f243(a927),x75191),x75193))+P106(f335(f335(f243(a927),f335(f335(f86(a927),x75191),x75192)),f335(f335(f86(a927),x75193),x75192))) % 209.33/209.63 [7520]~P106(f335(f335(f243(a927),x75201),x75203))+P106(f335(f335(f243(a927),f335(f335(f41(a927),x75201),x75202)),f335(f335(f41(a927),x75203),x75202))) % 209.33/209.63 [7521]~P106(f335(f335(f243(a1),x75212),x75213))+P106(f335(f335(f243(a1),f335(f335(f86(a1),x75211),x75212)),f335(f335(f86(a1),x75211),x75213))) % 209.33/209.63 [7524]~P106(f335(f335(f244(a927),x75242),x75243))+P106(f335(f335(f244(a927),f335(f335(f86(a927),x75241),x75242)),f335(f335(f86(a927),x75241),x75243))) % 209.33/209.63 [7525]~P106(f335(f335(f244(a927),x75251),x75253))+P106(f335(f335(f244(a927),f335(f335(f86(a927),x75251),x75252)),f335(f335(f86(a927),x75253),x75252))) % 209.33/209.63 [7526]~P106(f335(f335(f244(a1),x75261),x75263))+P106(f335(f335(f244(a1),f335(f335(f86(a1),x75261),x75262)),f335(f335(f86(a1),x75263),x75262))) % 209.33/209.63 [7605]E(x76051,x76052)+~P106(f335(f335(f337(x76053),x76051),f335(f335(f317(x76053),x76052),f195(f934(x76053,a922))))) % 209.33/209.63 [7607]~E(f335(f335(f108(f934(x76071,a922)),x76072),x76073),f195(f934(x76071,a922)))+P106(f335(f335(f243(f934(x76071,a922)),x76072),f335(f85(f934(x76071,a922)),x76073))) % 209.33/209.63 [7612]P106(f335(f335(f337(f934(x76121,a922)),x76122),f335(f316(x76121),x76123)))+~P106(f335(f335(f243(f934(x76121,a922)),x76122),x76123)) % 209.33/209.63 [7662]E(f335(f335(f158(x76621),f335(f335(f171(x76621),x76622),x76623)),f335(f335(f145(x76621),f335(a119,x76623)),x76622)),f335(f335(f145(x76621),x76623),x76622))+~P106(f335(f335(f244(a927),x76623),f335(f196(f928(x76621)),x76622))) % 209.33/209.63 [7688]P106(f335(f335(f337(f933(x76881,x76881)),x76882),f315(x76881,x76883)))+~P106(f335(f335(f337(f933(x76881,x76881)),x76882),x76883)) % 209.33/209.63 [7697]~P106(f335(f335(f337(f934(x76971,a922)),x76972),f335(f316(x76971),x76973)))+P106(f335(f335(f243(f934(x76971,a922)),x76972),x76973)) % 209.33/209.63 [7740]P106(f335(f335(f243(f934(x77401,a922)),x77402),f42(f934(x77401,a922),x77403)))+~P106(f335(f335(f337(f934(x77401,a922)),x77402),x77403)) % 209.33/209.63 [7762]~P140(x77621)+E(f335(f335(f87(x77621),f335(f335(f252(x77621),f335(f85(x77621),f84(x77621))),x77622)),f335(f335(f252(x77621),x77623),x77622)),f335(f335(f252(x77621),f335(f85(x77621),x77623)),x77622)) % 209.33/209.63 [7784]E(f335(f335(f171(x77841),x77842),f335(f335(f23(a927),f335(f196(f928(x77841)),x77842)),f335(a119,x77843))),f335(f335(f171(x77841),f335(f175(x77841),x77842)),x77843))+~P106(f335(f335(f244(a927),x77843),f335(f196(f928(x77841)),x77842))) % 209.33/209.63 [7801]~E(f335(f335(f108(f934(x78011,a922)),f581(x78013,x78012,x78011)),x78013),f195(f934(x78011,a922)))+E(f335(f335(f108(f934(x78011,a922)),f42(f934(x78011,a922),x78012)),x78013),f195(f934(x78011,a922))) % 209.33/209.63 [7863]~P106(f335(f335(f337(x78633),x78632),f335(f179(x78633),x78631)))+P106(f335(f335(f244(a927),f629(x78631,x78632,x78633)),f335(f196(f928(x78633)),x78631))) % 209.33/209.63 [7871]P106(f335(f335(f337(x78711),f335(f335(f171(x78711),x78712),x78713)),f335(f179(x78711),x78712)))+~P106(f335(f335(f244(a927),x78713),f335(f196(f928(x78711)),x78712))) % 209.33/209.63 [7967]~P106(f335(x79672,f741(x79673,x79672,x79671)))+E(f335(f335(f145(x79671),f335(f196(f928(x79671)),f184(x79671,x79672,x79673))),x79673),f120(x79671)) % 209.33/209.63 [7980]P106(f335(f335(f243(f934(f928(x79801),a922)),f168(x79801,x79802)),f168(x79801,x79803)))+~P106(f335(f335(f243(f934(x79801,a922)),x79802),x79803)) % 209.33/209.63 [7981]P106(f335(f335(f243(f934(f928(x79811),a922)),f167(x79811,x79812)),f167(x79811,x79813)))+~P106(f335(f335(f243(f934(x79811,a922)),x79812),x79813)) % 209.33/209.63 [8007]E(f335(f335(f108(f934(x80071,a922)),f42(f934(x80071,a922),x80072)),x80073),f195(f934(x80071,a922)))+P106(f335(f335(f337(f934(x80071,a922)),f581(x80073,x80072,x80071)),x80072)) % 209.33/209.63 [8009]~P106(f335(f335(f337(f934(x80091,a922)),x80093),x80092))+P106(f335(f335(f243(f934(x80091,a922)),f43(f934(x80091,a922),x80092)),x80093)) % 209.33/209.63 [8011]E(f335(f335(f108(f934(x80111,a922)),x80112),x80113),f195(f934(x80111,a922)))+~P106(f335(f335(f243(f934(x80111,a922)),x80112),f335(f85(f934(x80111,a922)),x80113))) % 209.33/209.63 [8057]E(f335(f335(f23(a927),f335(f335(f86(a927),f335(f172(a927),x80571)),x80572)),f335(f335(f171(a927),x80571),x80573)),f335(f172(a927),f335(f335(f166(a927,x80571),x80573),x80572)))+~P106(f335(f335(f244(a927),x80573),f335(f196(f928(a927)),x80571))) % 209.33/209.63 [8108]P106(f335(f335(f243(a927),x81081),x81082))+~P106(f335(f335(f243(a927),f335(f335(f86(a927),x81083),x81081)),f335(f335(f86(a927),x81083),x81082))) % 209.33/209.63 [8111]P106(f335(f335(f244(a927),x81111),x81112))+~P106(f335(f335(f244(a927),f335(f335(f86(a927),x81113),x81111)),f335(f335(f86(a927),x81113),x81112))) % 209.33/209.63 [8112]P106(f335(f335(f244(a927),x81121),x81122))+~P106(f335(f335(f244(a927),f335(f335(f87(a927),x81123),x81121)),f335(f335(f87(a927),x81123),x81122))) % 209.33/209.63 [8113]P106(f335(f335(f244(a927),x81131),x81132))+~P106(f335(f335(f244(a927),f335(f335(f87(a927),x81131),x81133)),f335(f335(f87(a927),x81132),x81133))) % 209.33/209.63 [8141]P106(f335(f335(f244(a927),f2(a927)),x81411))+~P106(f335(f335(f244(a927),f335(f335(f87(a927),x81412),x81411)),f335(f335(f87(a927),x81413),x81411))) % 209.33/209.63 [8142]P106(f335(f335(f244(a927),f2(a927)),x81421))+~P106(f335(f335(f244(a927),f335(f335(f87(a927),x81421),x81422)),f335(f335(f87(a927),x81421),x81423))) % 209.33/209.63 [8216]E(f255(x82161,x82162,x82163),x82162)+~P106(f335(f335(f243(f934(x82161,a922)),x82163),f335(f335(f317(x82161),x82162),f195(f934(x82161,a922))))) % 209.33/209.63 [8266]~P106(f335(f144(x82661),x82663))+E(f335(f143(x82661,f335(f335(f8(a922,a922,x82661),a330),f335(a332,x82662))),x82663),f177(x82661,x82662,x82663)) % 209.33/209.63 [8291]E(f335(f335(f145(x82911),f335(f196(f928(x82911)),f184(x82911,x82912,x82913))),x82913),f120(x82911))+P106(f335(f335(f337(x82911),f741(x82913,x82912,x82911)),f335(f179(x82911),x82913))) % 209.33/209.63 [8295]E(f335(f335(f141(x82951),f335(f335(f182(x82951),x82952),x82953)),f335(f335(f158(x82951),f335(f335(f171(x82951),x82953),x82952)),f120(x82951))),f335(f335(f182(x82951),f335(a119,x82952)),x82953))+~P106(f335(f335(f244(a927),x82952),f335(f196(f928(x82951)),x82953))) % 209.33/209.63 [8357]E(f335(f143(x83571,f335(f335(f8(a922,a922,x83571),a330),f335(a332,x83572))),x83573),x83573)+P106(f335(f335(f337(x83571),x83572),f335(f179(x83571),x83573))) % 209.33/209.63 [8363]P106(f335(f335(f243(f934(f934(x83631,a922),a922)),f256(x83631,x83632)),f256(x83631,x83633)))+~P106(f335(f335(f243(f934(x83631,a922)),x83632),x83633)) % 209.33/209.63 [8402]~P106(f335(f144(x84021),x84023))+P106(f335(f144(x84021),f335(f335(f335(f190(f928(x84021),f928(x84021)),x84022),f174(x84021)),x84023))) % 209.33/209.63 [8408]~P106(f335(f335(f244(a927),x84082),x84083))+P106(f335(f335(f244(a927),f335(f335(f87(a927),f335(a119,x84081)),x84082)),f335(f335(f87(a927),f335(a119,x84081)),x84083))) % 209.33/209.63 [8428]P106(f335(f335(f243(f934(f934(x84281,a922),a922)),f335(f316(x84281),x84282)),f335(f316(x84281),x84283)))+~P106(f335(f335(f243(f934(x84281,a922)),x84282),x84283)) % 209.33/209.63 [8498]~E(f335(f318(x84981,x84982,x84983),f250(f934(x84981,a922))),f250(f934(x84982,a922)))+E(f335(f78(x84981,x84982,x84982,x84983),f97(x84981,x84982,f250(f934(x84981,a922)),x84983)),f25(x84982)) % 209.33/209.63 [8592]~P106(f335(f335(f243(f934(x85921,a922)),x85923),x85922))+P106(f335(f335(f243(f934(x85921,a922)),f335(f85(f934(x85921,a922)),x85922)),f335(f85(f934(x85921,a922)),x85923))) % 209.33/209.63 [8626]E(f335(f318(a927,a927,f335(f335(f7(a927,a927,a927),f23(a927)),x86261)),f335(f310(a927,x86262),x86263)),f335(f310(a927,f335(f335(f23(a927),x86262),x86261)),f335(f335(f23(a927),x86263),x86261)))+~P106(f335(f335(f244(a927),x86261),x86263)) % 209.33/209.63 [8652]~P81(x86521)+E(f335(f335(f86(x86521),x86522),f335(f149(x86521,x86521,f86(x86521),f2(x86521)),x86523)),f335(f149(x86521,x86521,f86(x86521),x86522),x86523)) % 209.33/209.63 [8728]~P85(x87281)+P106(f335(f335(f243(x87281),f335(f81(x87281),f335(f335(f23(x87281),x87282),x87283))),f335(f335(f86(x87281),f335(f81(x87281),x87282)),f335(f81(x87281),x87283)))) % 209.33/209.63 [8729]~P85(x87291)+P106(f335(f335(f243(x87291),f335(f81(x87291),f335(f335(f86(x87291),x87292),x87293))),f335(f335(f86(x87291),f335(f81(x87291),x87292)),f335(f81(x87291),x87293)))) % 209.33/209.63 [8740]E(f335(f335(f86(a1),f335(f335(f87(a1),x87401),f50(a1,f335(f335(f41(a1),x87402),x87401),x87403))),f50(a1,x87402,x87401)),f50(a1,x87402,f335(f335(f87(a1),x87401),x87403)))+~P106(f335(f335(f244(a1),f2(a1)),x87403)) % 209.33/209.63 [8746]E(f335(f335(f141(x87461),f335(f335(f182(x87461),x87462),x87463)),f335(f335(f158(x87461),f335(f148(x87461),f335(f335(f145(x87461),x87462),x87463))),f120(x87461))),f335(f335(f182(x87461),f335(a119,x87462)),x87463))+~P106(f335(f335(f244(a927),x87462),f335(f196(f928(x87461)),x87463))) % 209.33/209.63 [8766]E(f335(f276(x87661,f335(f335(f161(x87661,f933(a106,x87661)),f335(f260(a106,x87661),f84(a106))),x87662)),f335(a3,x87663)),f335(f335(f171(x87661),x87662),x87663))+~P106(f335(f335(f244(a927),x87663),f335(f196(f928(x87661)),x87662))) % 209.33/209.63 [8834]P106(f335(f335(f337(f933(x88341,x88341)),x88342),f335(f335(f297(x88341,x88341,x88341),x88343),f315(x88341,x88343))))+~P106(f335(f335(f337(f933(x88341,x88341)),x88342),x88343)) % 209.33/209.63 [8845]E(f335(f318(x88451,x88452,x88453),f250(f934(x88451,a922))),f250(f934(x88452,a922)))+~E(f335(f78(x88451,x88452,x88452,x88453),f97(x88451,x88452,f250(f934(x88451,a922)),x88453)),f25(x88452)) % 209.33/209.63 [8854]P106(f335(f335(f243(a927),x88541),x88542))+~P106(f335(f335(f243(a927),f335(f335(f87(a927),f335(a119,x88543)),x88541)),f335(f335(f87(a927),f335(a119,x88543)),x88542))) % 209.33/209.63 [8870]P106(f335(f335(f243(f934(x88701,a922)),x88702),x88703))+~P106(f335(f335(f243(f934(x88701,a922)),f335(f85(f934(x88701,a922)),x88703)),f335(f85(f934(x88701,a922)),x88702))) % 209.33/209.63 [8893]P106(f335(f144(x88931),x88932))+~P106(f335(f144(x88931),f335(f335(f335(f190(f928(x88931),f928(x88931)),x88933),f174(x88931)),x88932))) % 209.33/209.63 [8966]E(f335(f293(x89661,x89661,f315(x89661,x89662)),x89663),x89663)+~P106(f335(f335(f243(f934(x89661,a922)),f335(f293(x89661,x89661,x89662),x89663)),x89663)) % 209.33/209.63 [9014]~P108(x90141)+P13(x90141,f335(f143(x90141,f335(f335(f7(x90141,x90141,a922),a332),f335(x90142,x90143))),x90143)) % 209.33/209.63 [9021]~P106(f335(f335(f243(a927),x90211),x90212))+P106(f335(f335(f243(a927),x90211),f335(f149(a927,a927,f86(a927),x90212),x90213))) % 209.33/209.63 [9107]~P106(f335(f335(f337(f933(x91071,x91071)),x91072),f315(x91071,x91073)))+P106(f335(f335(f337(f933(x91071,x91071)),x91072),f335(f335(f190(f933(x91071,x91071),a922),f615(x91073,x91072,x91071)),x91073))) % 209.33/209.63 [9192]~P81(x91921)+E(f335(f335(f86(x91921),x91922),f335(f149(x91921,x91921,f335(f7(x91921,x91921,x91921),f86(x91921)),f2(x91921)),f335(f175(x91921),x91923))),f335(f149(x91921,x91921,f86(x91921),x91922),x91923)) % 209.33/209.63 [9309]~P26(x93092,x93091,x93093,f250(f934(x93092,a922)),f250(f934(x93091,a922)))+E(f97(x93091,x93092,f250(f934(x93091,a922)),f97(x93092,x93091,f250(f934(x93092,a922)),x93093)),x93093) % 209.33/209.63 [9460]P55(x94601,x94602,x94603)+P106(f335(f335(f337(f933(x94601,x94602)),f335(f335(f260(x94601,x94602),f625(x94603,x94602,x94601)),f601(x94603,x94602,x94601))),x94603)) % 209.33/209.63 [9461]P55(x94611,x94612,x94613)+P106(f335(f335(f337(f933(x94611,x94612)),f335(f335(f260(x94611,x94612),f625(x94613,x94612,x94611)),f600(x94613,x94612,x94611))),x94613)) % 209.33/209.63 [9529]~P106(f335(f335(f337(f933(x95291,x95291)),x95292),f335(f335(f297(x95291,x95291,x95291),x95293),f315(x95291,x95293))))+P106(f335(f335(f337(f933(x95291,x95291)),x95292),f335(f335(f190(f933(x95291,x95291),a922),f616(x95293,x95292,x95291)),x95293))) % 209.33/209.63 [9530]~P106(f335(x95301,f335(f335(f171(x95302),x95303),f335(f196(f928(x95302)),f184(x95302,x95301,x95303)))))+~P106(f335(f335(f244(a927),f335(f196(f928(x95302)),f184(x95302,x95301,x95303))),f335(f196(f928(x95302)),x95303))) % 209.33/209.63 [9619]~P106(f335(f335(f243(f934(x96191,a922)),x96192),x96193))+P106(f335(f335(f243(f934(x96191,a922)),f335(f335(f7(x96191,f934(x96191,a922),a922),f337(x96191)),x96192)),f335(f335(f7(x96191,f934(x96191,a922),a922),f337(x96191)),x96193))) % 209.33/209.63 [9676]~P106(f335(f335(f337(f933(f934(x96761,a922),f934(x96761,a922))),f335(f335(f260(f934(x96761,a922),f934(x96761,a922)),x96762),x96763)),f322(x96761)))+P106(f335(f335(f244(f934(x96761,a922)),x96762),x96763)) % 209.33/209.63 [9700]P56(x97001,x97002,x97003)+~P106(f335(f335(f337(f933(x97001,x97001)),f335(f335(f260(x97001,x97001),f843(x97003,x97002,x97001)),f842(x97003,x97002,x97001))),x97003)) % 209.33/209.63 [9701]P56(x97011,x97012,x97013)+~P106(f335(f335(f337(f933(x97011,x97011)),f335(f335(f260(x97011,x97011),f842(x97013,x97012,x97011)),f843(x97013,x97012,x97011))),x97013)) % 209.33/209.63 [9738]~P106(f335(f335(f337(f933(f928(x97381),f928(x97381))),f335(f335(f260(f928(x97381),f928(x97381)),x97382),x97382)),f154(x97381,x97383)))+P106(f335(f335(f337(f933(x97381,x97381)),f335(f335(f260(x97381,x97381),f672(x97382,x97383,x97381)),f672(x97382,x97383,x97381))),x97383)) % 209.33/209.63 [9788]P106(f335(f335(f243(f934(x97881,a922)),x97882),x97883))+~P106(f335(f335(f243(f934(x97881,a922)),f335(f335(f7(x97881,f934(x97881,a922),a922),f337(x97881)),x97882)),f335(f335(f7(x97881,f934(x97881,a922),a922),f337(x97881)),x97883))) % 209.33/209.63 [9869]E(f335(f335(f23(a927),f335(f335(f6(a927,a927),x98691),f335(f290(a927),x98692))),f335(f335(f6(a927,a927),x98693),f335(f290(a927),x98692))),f335(f335(f6(a927,a927),f335(f335(f18(a927,a927,a927),f335(f335(f8(a927,f934(a927,a927),a927),f23(a927)),x98691)),x98693)),f335(f290(a927),x98692)))+~P106(f335(f335(f243(a927),f335(x98693,f494(x98692,x98691,x98693))),f335(x98691,f494(x98692,x98691,x98693)))) % 209.33/209.63 [5883]~P3(x58831)+E(f335(f335(f23(x58831),f335(f335(f86(x58831),x58832),x58833)),x58833),x58832) % 209.33/209.63 [5884]~P3(x58841)+E(f335(f335(f86(x58841),f335(f335(f23(x58841),x58842),x58843)),x58843),x58842) % 209.33/209.63 [6109]~P3(x61091)+E(f335(f335(f86(x61091),x61092),f335(f335(f86(x61091),f335(f85(x61091),x61092)),x61093)),x61093) % 209.33/209.63 [6192]~P80(x61921)+E(f335(f335(f87(x61921),f335(f335(f252(x61921),x61922),x61923)),x61922),f335(f335(f252(x61921),x61922),f335(a119,x61923))) % 209.33/209.63 [6193]~P116(x61931)+E(f335(f335(f87(x61931),f335(f335(f252(x61931),x61932),x61933)),x61932),f335(f335(f252(x61931),x61932),f335(a119,x61933))) % 209.33/209.63 [6411]~P122(x64111)+E(f335(f81(x64111),f335(f335(f252(x64111),f335(f85(x64111),x64112)),x64113)),f335(f81(x64111),f335(f335(f252(x64111),x64112),x64113))) % 209.33/209.63 [6454]~P80(x64541)+E(f335(f335(f87(x64541),f335(f335(f252(x64541),x64542),x64543)),x64542),f335(f335(f87(x64541),x64542),f335(f335(f252(x64541),x64542),x64543))) % 209.33/209.63 [6513]E(f335(f335(f23(a106),f335(f335(f86(a106),x65131),x65132)),x65133),f282(x65131,x65132,x65133))+~P106(f335(f335(f244(a106),x65132),x65133)) % 209.33/209.63 [6536]~E(f335(f335(f145(x65361),x65363),x65362),f120(x65361))+P106(f335(f335(f243(a927),f335(f196(f928(x65361)),x65362)),x65363)) % 209.33/209.63 [6671]E(f335(f335(f87(a927),f335(f110(a927),x66711)),f335(f335(f87(a927),f335(f110(a927),x66712)),x66713)),f2(a927))+~P106(f335(f335(f244(a1),x66711),a89)) % 209.33/209.63 [6687]~P65(x66871)+E(f335(f335(f252(x66871),f335(f335(f299(x66871),f84(x66871)),x66872)),x66873),f335(f335(f299(x66871),f84(x66871)),f335(f335(f252(x66871),x66872),x66873))) % 209.33/209.63 [6764]E(f335(f335(f23(a927),f335(f335(f86(a927),x67641),x67642)),x67643),f335(f335(f23(a927),x67641),f335(f335(f23(a927),x67643),x67642)))+~P106(f335(f335(f243(a927),x67642),x67643)) % 209.33/209.63 [6766]E(f335(f335(f23(a927),f335(f335(f86(a927),x67661),x67662)),x67663),f335(f335(f86(a927),x67661),f335(f335(f23(a927),x67662),x67663)))+~P106(f335(f335(f243(a927),x67663),x67662)) % 209.33/209.63 [6804]~P96(x68041)+P106(f335(f335(f243(x68041),f335(f335(f108(x68041),x68042),x68043)),x68043)) % 209.33/209.63 [6805]~P101(x68051)+P106(f335(f335(f243(x68051),f335(f335(f108(x68051),x68052),x68053)),x68053)) % 209.33/209.63 [6806]~P96(x68061)+P106(f335(f335(f243(x68061),f335(f335(f108(x68061),x68062),x68063)),x68062)) % 209.33/209.63 [6807]~P101(x68071)+P106(f335(f335(f243(x68071),f335(f335(f108(x68071),x68072),x68073)),x68072)) % 209.33/209.63 [6808]~P108(x68081)+P106(f335(f335(f243(x68081),f335(f335(f241(x68081),x68082),x68083)),x68083)) % 209.33/209.63 [6809]~P108(x68091)+P106(f335(f335(f243(x68091),f335(f335(f241(x68091),x68092),x68093)),x68092)) % 209.33/209.63 [6822]E(f335(f335(f41(a1),f335(f335(f41(a1),x68221),x68222)),x68223),f335(f335(f41(a1),x68221),f335(f335(f87(a1),x68222),x68223)))+~P106(f335(f335(f244(a1),f2(a1)),x68223)) % 209.33/209.63 [6874]~P116(x68741)+E(f335(f335(f86(x68741),f335(f335(f87(x68741),x68742),x68743)),x68743),f335(f335(f87(x68741),f335(f335(f86(x68741),x68742),f84(x68741))),x68743)) % 209.33/209.63 [6875]~P93(x68751)+E(f335(f335(f87(x68751),f335(f85(x68751),f335(f110(x68751),x68752))),x68753),f335(f335(f87(x68751),f335(f110(x68751),f335(f85(a1),x68752))),x68753)) % 209.33/209.63 [6947]~P81(x69471)+E(f335(f172(x69471),f335(f335(f161(x69472,x69471),f335(f16(x69471,x69472),f2(x69471))),x69473)),f2(x69471)) % 209.33/209.63 [6964]E(f335(f335(f86(a927),f335(f110(a927),x69641)),f335(f335(f86(a927),f335(f110(a927),x69642)),x69643)),f335(f335(f86(a927),f335(f110(a927),x69642)),x69643))+~P106(f335(a200,f335(f110(a1),x69641))) % 209.33/209.63 [6978]~P5(x69781)+E(f43(x69781,f335(f335(f317(x69781),x69782),f335(f335(f317(x69781),x69783),f195(f934(x69781,a922))))),f335(f335(f108(x69781),x69782),x69783)) % 209.33/209.63 [6979]~P5(x69791)+E(f42(x69791,f335(f335(f317(x69791),x69792),f335(f335(f317(x69791),x69793),f195(f934(x69791,a922))))),f335(f335(f117(x69791),x69792),x69793)) % 209.33/209.63 [7001]E(f335(f335(f182(x70011),x70012),x70013),x70013)+~P106(f335(f335(f243(a927),f335(f196(f928(x70011)),x70013)),x70012)) % 209.33/209.63 [7013]E(f335(f335(f145(x70131),x70132),x70133),f120(x70131))+~P106(f335(f335(f243(a927),f335(f196(f928(x70131)),x70133)),x70132)) % 209.33/209.63 [7024]E(f335(f335(f86(a927),f335(f335(f23(a927),x70241),x70242)),x70243),f335(f335(f23(a927),f335(f335(f86(a927),x70241),x70243)),x70242))+~P106(f335(f335(f243(a927),x70242),x70241)) % 209.33/209.63 [7038]~P106(f335(f335(f244(a927),x70381),x70383))+P106(f335(f335(f244(a927),f335(f335(f23(a927),x70381),x70382)),x70383)) % 209.33/209.63 [7065]~P108(x70651)+E(f177(x70651,x70652,f335(f335(f155(x70651,x70651,f5(x70651)),x70652),x70653)),x70653) % 209.33/209.63 [7151]E(f335(f335(f23(a927),f335(f335(f86(a927),x71511),x71512)),f335(a119,x71513)),f335(f335(f23(a927),x71511),f335(a119,f335(f335(f23(a927),x71513),x71512))))+~P106(f335(f335(f243(a927),x71512),x71513)) % 209.33/209.63 [7152]~P122(x71521)+P106(f335(f335(f243(x71521),f2(x71521)),f335(f335(f252(x71521),f335(f81(x71521),x71522)),x71523))) % 209.33/209.63 [7199]P24(x71991,x71992,x71993)+~P106(f335(f335(f243(f934(f926(x71991),a922)),x71993),x71992)) % 209.33/209.63 [7241]~P106(f335(f66(x72411),x72412))+P106(f335(f66(x72411),f335(f335(f23(f934(x72411,a922)),x72412),x72413))) % 209.33/209.63 [7242]~P106(f335(f66(x72421),x72423))+P106(f335(f66(x72421),f335(f335(f108(f934(x72421,a922)),x72422),x72423))) % 209.33/209.63 [7243]~P106(f335(f66(x72431),x72432))+P106(f335(f66(x72431),f335(f335(f108(f934(x72431,a922)),x72432),x72433))) % 209.33/209.63 [7382]~P37(x73821,x73823)+P37(x73821,f335(f335(f108(f934(f933(x73821,x73821),a922)),x73822),x73823)) % 209.33/209.63 [7383]~P37(x73831,x73832)+P37(x73831,f335(f335(f108(f934(f933(x73831,x73831),a922)),x73832),x73833)) % 209.33/209.63 [7508]~P96(x75081)+E(f13(x75081,f335(f179(x75081),f335(f335(f158(x75081),x75082),x75083))),f335(f149(x75081,x75081,f117(x75081),x75082),x75083)) % 209.33/209.63 [7509]~P96(x75091)+E(f10(x75091,f335(f179(x75091),f335(f335(f158(x75091),x75092),x75093))),f335(f149(x75091,x75091,f108(x75091),x75092),x75093)) % 209.33/209.63 [7510]~P108(x75101)+E(f14(x75101,f335(f179(x75101),f335(f335(f158(x75101),x75102),x75103))),f335(f149(x75101,x75101,f241(x75101),x75102),x75103)) % 209.33/209.63 [7511]~P108(x75111)+E(f15(x75111,f335(f179(x75111),f335(f335(f158(x75111),x75112),x75113))),f335(f149(x75111,x75111,f242(x75111),x75112),x75113)) % 209.33/209.63 [7574]~P106(f335(f66(x75741),x75742))+P106(f335(f335(f243(a927),f335(f40(x75741),x75742)),f335(f40(x75741),f335(f335(f317(x75741),x75743),x75742)))) % 209.33/209.63 [7581]E(f335(f335(f117(f934(a927,a922)),f335(f310(a927,x75811),x75812)),f335(f310(a927,x75812),f335(f335(f86(a927),x75812),x75813))),f335(f310(a927,x75811),f335(f335(f86(a927),x75812),x75813)))+~P106(f335(f335(f243(a927),x75811),x75812)) % 209.33/209.63 [7590]P106(f335(f335(f243(a927),x75901),x75902))+~P106(f335(f335(f243(a927),f335(f335(f86(a927),x75903),x75901)),x75902)) % 209.33/209.63 [7591]P106(f335(f335(f243(a927),x75911),x75912))+~P106(f335(f335(f243(a927),f335(f335(f86(a927),x75911),x75913)),x75912)) % 209.33/209.63 [7592]P106(f335(f335(f244(a927),x75921),x75922))+~P106(f335(f335(f244(a927),f335(f335(f86(a927),x75921),x75923)),x75922)) % 209.33/209.63 [7629]~P108(x76291)+E(f11(x76291,f241(x76291),f335(f179(x76291),f335(f335(f158(x76291),x76292),x76293))),f335(f149(x76291,x76291,f241(x76291),x76292),x76293)) % 209.33/209.63 [7630]~P108(x76301)+E(f12(x76301,f242(x76301),f335(f179(x76301),f335(f335(f158(x76301),x76302),x76303))),f335(f149(x76301,x76301,f242(x76301),x76302),x76303)) % 209.33/209.63 [7634]~E(x76342,f195(f934(f933(x76341,x76341),a922)))+P106(f335(f335(f243(f934(f933(x76341,x76341),a922)),x76342),x76343)) % 209.33/209.63 [7735]E(f335(f335(f117(f934(x77351,a922)),x77352),f335(f335(f23(f934(x77351,a922)),x77353),x77352)),x77353)+~P106(f335(f335(f243(f934(x77351,a922)),x77352),x77353)) % 209.33/209.63 [7736]~P106(f335(f335(f243(a927),x77361),f335(f335(f86(a927),x77363),x77362)))+P106(f335(f335(f243(a927),f335(f335(f23(a927),x77361),x77362)),x77363)) % 209.33/209.63 [7737]~P106(f335(f335(f244(a927),x77371),f335(f335(f23(a927),x77373),x77372)))+P106(f335(f335(f244(a927),f335(f335(f86(a927),x77371),x77372)),x77373)) % 209.33/209.63 [7791]E(x77911,f120(x77912))+E(f335(f148(x77912),f335(f335(f335(f190(f928(x77912),f928(x77912)),x77913),f174(x77912)),x77911)),f335(f335(f171(x77912),x77911),f50(a927,x77913,f335(f196(f928(x77912)),x77911)))) % 209.33/209.63 [7800]E(f335(f335(f317(x78001),x78002),f335(f335(f23(f934(x78001,a922)),x78003),f335(f335(f317(x78001),x78002),f195(f934(x78001,a922))))),x78003)+~P106(f335(f335(f337(x78001),x78002),x78003)) % 209.33/209.63 [7958]P106(f335(f335(f243(a927),x79581),f335(f335(f86(a927),x79582),x79583)))+~P106(f335(f335(f243(a927),f335(f335(f23(a927),x79581),x79583)),x79582)) % 209.33/209.63 [7959]P106(f335(f335(f244(a927),x79591),f335(f335(f23(a927),x79592),x79593)))+~P106(f335(f335(f244(a927),f335(f335(f86(a927),x79591),x79593)),x79592)) % 209.33/209.63 [7984]P106(f335(f66(x79841),x79842))+~P106(f335(f66(x79841),f335(f335(f117(f934(x79841,a922)),x79843),x79842))) % 209.33/209.63 [7985]P106(f335(f66(x79851),x79852))+~P106(f335(f66(x79851),f335(f335(f117(f934(x79851,a922)),x79852),x79853))) % 209.33/209.63 [8056]~P45(x80561,x80563)+P106(f335(f335(f337(f933(x80561,x80561)),f335(f335(f260(x80561,x80561),x80562),x80562)),x80563)) % 209.33/209.63 [8189]E(f335(f335(f171(a927),f146(a927,f335(f310(a927,x81891),x81892))),x81893),f335(f335(f86(a927),x81891),x81893))+~P106(f335(f335(f244(a927),f335(f335(f86(a927),x81891),x81893)),x81892)) % 209.33/209.63 [8255]E(f335(f335(f182(a927),x82551),f146(a927,f335(f310(a927,x82552),x82553))),f146(a927,f335(f310(a927,x82552),f335(f335(f86(a927),x82552),x82551))))+~P106(f335(f335(f243(a927),f335(f335(f86(a927),x82552),x82551)),x82553)) % 209.33/209.63 [8312]~P93(x83121)+E(f335(f335(f252(x83121),x83122),f335(f110(a927),f335(f335(f86(a1),x83123),x83123))),f335(f335(f92(x83121,x83121),f335(f335(f252(x83121),x83122),f335(f110(a927),x83123))),f335(f335(f18(x83121,x83121,x83121),f87(x83121)),f5(x83121)))) % 209.33/209.63 [8573]E(f335(f335(f141(x85731),f335(f335(f182(x85731),x85732),x85733)),f335(f335(f158(x85731),f335(f335(f171(x85731),x85733),x85732)),f335(f335(f145(x85731),f335(a119,x85732)),x85733))),x85733)+~P106(f335(f335(f244(a927),x85732),f335(f196(f928(x85731)),x85733))) % 209.33/209.63 [8580]P106(f335(f335(f243(f934(x85801,a922)),f323(x85801,x85802)),f323(x85801,x85803)))+~P106(f335(f335(f243(f934(x85801,f934(x85801,a922))),x85803),x85802)) % 209.33/209.63 [8581]~P56(x85811,x85812,x85813)+P56(x85811,x85812,f335(f335(f23(f934(f933(x85811,x85811),a922)),x85813),f315(x85811,f195(f934(f933(x85811,x85811),a922))))) % 209.33/209.63 [8600]P106(f335(f335(f243(f934(x86001,a922)),f324(x86001,x86002)),f324(x86001,x86003)))+~P106(f335(f335(f243(f934(f933(x86001,x86001),a922)),x86003),x86002)) % 209.33/209.63 [8606]~P106(f335(f335(f244(f934(x86061,a922)),x86063),x86062))+P106(f335(f335(f337(x86061),f573(x86062,x86063,x86061)),f335(f335(f23(f934(x86061,a922)),x86062),x86063))) % 209.33/209.63 [8608]~P127(x86081)+P106(f335(f335(f243(x86081),f2(x86081)),f335(f335(f86(x86081),f335(f335(f87(x86081),x86082),x86082)),f335(f335(f87(x86081),x86083),x86083)))) % 209.33/209.63 [8641]P106(f335(f335(f243(f934(x86411,a922)),f335(f289(x86411),x86412)),f335(f289(x86411),x86413)))+~P106(f335(f335(f243(f934(f933(x86411,x86411),a922)),x86412),x86413)) % 209.33/209.63 [8670]~P54(x86701,x86702)+~P106(f335(f335(f337(f933(x86701,x86701)),f335(f335(f260(x86701,x86701),x86703),x86703)),x86702)) % 209.33/209.63 [8672]~P37(x86721,x86722)+~P106(f335(f335(f337(f933(x86721,x86721)),f335(f335(f260(x86721,x86721),x86723),x86723)),x86722)) % 209.33/209.63 [8730]P106(f335(f335(f243(f934(x87301,a922)),f43(f934(x87301,a922),x87302)),f43(f934(x87301,a922),x87303)))+~P106(f335(f335(f243(f934(f934(x87301,a922),a922)),x87303),x87302)) % 209.33/209.63 [8731]P106(f335(f335(f243(f934(x87311,a922)),f42(f934(x87311,a922),x87312)),f42(f934(x87311,a922),x87313)))+~P106(f335(f335(f243(f934(f934(x87311,a922),a922)),x87312),x87313)) % 209.33/209.63 [8785]~P8(x87851,x87853,x87852)+P106(f335(f335(f243(f934(f933(x87851,x87851),a922)),x87852),f335(f335(f262(x87851,x87851),x87853),f335(f16(f934(x87851,a922),x87851),x87853)))) % 209.33/209.63 [8786]~P53(x87861,x87863,x87862)+P106(f335(f335(f243(f934(f933(x87861,x87861),a922)),x87862),f335(f335(f262(x87861,x87861),x87863),f335(f16(f934(x87861,a922),x87861),x87863)))) % 209.33/209.63 [8835]~P85(x88351)+P106(f335(f335(f243(x88351),f335(f335(f23(x88351),f335(f81(x88351),x88352)),f335(f81(x88351),x88353))),f335(f81(x88351),f335(f335(f23(x88351),x88353),x88352)))) % 209.33/209.63 [8836]~P85(x88361)+P106(f335(f335(f243(x88361),f335(f335(f23(x88361),f335(f81(x88361),x88362)),f335(f81(x88361),x88363))),f335(f81(x88361),f335(f335(f23(x88361),x88362),x88363)))) % 209.33/209.63 [8868]P106(f335(f335(f243(f934(f933(x88681,x88681),a922)),f315(x88681,x88682)),f315(x88681,x88683)))+~P106(f335(f335(f243(f934(f933(x88681,x88681),a922)),x88682),x88683)) % 209.33/209.63 [8979]~P25(x89792,x89791,x89793,f250(f934(x89792,a922)))+E(f335(f78(x89791,x89792,x89792,f97(x89792,x89791,f250(f934(x89792,a922)),x89793)),x89793),f25(x89792)) % 209.33/209.63 [9039]P56(x90391,x90392,x90393)+~P56(x90391,x90392,f335(f335(f23(f934(f933(x90391,x90391),a922)),x90393),f315(x90391,f195(f934(f933(x90391,x90391),a922))))) % 209.33/209.63 [9059]P106(f335(f335(f243(f934(f933(f928(x90591),f928(x90591)),a922)),f164(x90591,x90592)),f164(x90591,x90593)))+~P106(f335(f335(f243(f934(f933(x90591,x90591),a922)),x90592),x90593)) % 209.33/209.63 [9060]P106(f335(f335(f243(f934(f933(f928(x90601),f928(x90601)),a922)),f165(x90601,x90602)),f165(x90601,x90603)))+~P106(f335(f335(f243(f934(f933(x90601,x90601),a922)),x90602),x90603)) % 209.33/209.63 [9081]~P53(x90811,x90813,x90812)+P106(f335(f335(f243(f934(f933(x90811,x90811),a922)),x90812),f335(f335(f297(x90811,x90811,x90811),f335(f294(x90811,x90811),x90812)),x90812))) % 209.33/209.63 [9135]~P106(f335(f144(x91351),x91352))+E(f335(f143(x91351,f335(f335(f7(x91351,f934(x91351,a922),a922),f337(x91351)),f335(f179(x91351),f183(x91351,x91352,x91353)))),x91352),f183(x91351,x91352,x91353)) % 209.33/209.63 [9190]E(x91901,x91902)+~P106(f335(f335(f337(f933(x91903,x91903)),f335(f335(f260(x91903,x91903),x91901),x91902)),f315(x91903,f195(f934(f933(x91903,x91903),a922))))) % 209.33/209.63 [9272]P106(f335(f335(f337(x92721),x92722),f324(x92721,x92723)))+P106(f335(f335(f337(f933(x92721,x92721)),f335(f335(f260(x92721,x92721),f559(x92723,x92722,x92721)),x92722)),x92723)) % 209.33/209.63 [9273]P106(f335(f335(f337(x92731),x92732),f324(x92731,x92733)))+P106(f335(f335(f337(f933(x92731,x92731)),f335(f335(f260(x92731,x92731),f603(x92733,x92732,x92731)),x92732)),x92733)) % 209.33/209.63 [9274]P106(f335(f335(f337(x92741),x92742),f324(x92741,x92743)))+P106(f335(f335(f337(f933(x92741,x92741)),f335(f335(f260(x92741,x92741),f606(x92743,x92742,x92741)),x92742)),x92743)) % 209.33/209.63 [9310]P25(x93101,x93102,x93103,f250(f934(x93101,a922)))+~E(f335(f78(x93102,x93101,x93101,f97(x93101,x93102,f250(f934(x93101,a922)),x93103)),x93103),f25(x93101)) % 209.33/209.63 [9364]~P106(f335(f335(f337(f928(x93641)),x93643),f168(x93641,x93642)))+P106(f335(f167(x93641,f335(f335(f7(x93641,f934(x93641,a922),a922),f337(x93641)),x93642)),x93643)) % 209.33/209.63 [9387]P106(f335(x93873,x93872))+E(f335(f270(x93871),f335(f335(f18(x93871,a922,a922),f335(f335(f8(a922,f934(a922,a922),x93871),a333),f335(a332,x93872))),x93873)),f195(f934(x93871,a922))) % 209.33/209.63 [9403]~P85(x94031)+P106(f335(f335(f243(x94031),f335(f81(x94031),f335(f335(f23(x94031),f335(f81(x94031),x94032)),f335(f81(x94031),x94033)))),f335(f81(x94031),f335(f335(f23(x94031),x94032),x94033)))) % 209.33/209.63 [9417]~P106(f335(x94173,x94172))+E(f335(f270(x94171),f335(f335(f18(x94171,a922,a922),f335(f335(f8(a922,f934(a922,a922),x94171),a333),f335(a332,x94172))),x94173)),f335(f335(f317(x94171),x94172),f195(f934(x94171,a922)))) % 209.33/209.63 [9424]~P106(f335(f335(f337(f934(x94241,a922)),x94243),f335(f316(x94241),x94242)))+P106(f335(f256(x94241,f335(f335(f7(x94241,f934(x94241,a922),a922),f337(x94241)),x94242)),x94243)) % 209.33/209.63 [9459]P37(x94591,x94592)+P106(f335(f335(f337(f933(x94591,x94591)),f335(f335(f260(x94591,x94591),f335(f385(x94592,x94591),f335(a119,x94593))),f335(f385(x94592,x94591),x94593))),x94592)) % 209.33/209.63 [9598]P106(f335(f335(f337(f928(x95981)),x95982),f168(x95981,x95983)))+~P106(f335(f167(x95981,f335(f335(f7(x95981,f934(x95981,a922),a922),f337(x95981)),x95983)),x95982)) % 209.33/209.63 [9611]P106(f335(f335(f337(f934(x96111,a922)),x96112),f335(f316(x96111),x96113)))+~P106(f335(f256(x96111,f335(f335(f7(x96111,f934(x96111,a922),a922),f337(x96111)),x96113)),x96112)) % 209.33/209.63 [9671]P106(f335(f335(f337(x96711),f335(f276(x96711,x96712),x96713)),f335(f179(x96711),f335(f335(f161(f933(a106,x96711),x96711),f264(a106,x96711)),x96712))))+~P106(f335(f335(f244(a106),x96713),f335(f172(a106),f335(f335(f161(f933(a106,x96711),a106),f259(a106,x96711)),x96712)))) % 209.33/209.63 [9717]P106(f335(f335(f243(f934(f933(f928(x97171),f928(x97171)),a922)),f165(x97171,x97172)),f335(f335(f262(f928(x97171),f928(x97171)),f168(x97171,x97173)),f335(f16(f934(f928(x97171),a922),f928(x97171)),f168(x97171,x97173)))))+~P106(f335(f335(f243(f934(f933(x97171,x97171),a922)),x97172),f335(f335(f262(x97171,x97171),x97173),f335(f16(f934(x97171,a922),x97171),x97173)))) % 209.33/209.63 [9741]P106(f335(f335(f337(x97411),f335(f259(x97411,f933(a106,a106)),f335(f274(x97411,x97412),x97413))),f335(f179(x97411),f335(f335(f161(f933(a106,x97411),x97411),f264(a106,x97411)),x97412))))+~P106(f335(f335(f244(a106),f2(a106)),f335(f172(a106),f335(f335(f161(f933(a106,x97411),a106),f259(a106,x97411)),x97412)))) % 209.33/209.63 [9756]~P106(f335(f335(f243(f934(f933(x97561,x97561),a922)),x97562),f335(f335(f262(x97561,x97561),x97563),f335(f16(f934(x97561,a922),x97561),x97563))))+P106(f335(f335(f243(f934(f933(x97561,x97561),a922)),f335(f335(f297(x97561,x97561,x97561),x97562),f315(x97561,x97562))),f335(f335(f262(x97561,x97561),x97563),f335(f16(f934(x97561,a922),x97561),x97563)))) % 209.33/209.63 [10057]~P37(x100571,x100572)+~P106(f335(f335(f337(f933(x100571,x100571)),f335(f335(f260(x100571,x100571),f335(x100573,f335(a119,f386(x100572,x100571,x100573)))),f335(x100573,f386(x100572,x100571,x100573)))),x100572)) % 209.33/209.63 [10058]~P37(x100581,x100582)+~P106(f335(f335(f337(f933(x100581,x100581)),f335(f335(f260(x100581,x100581),f335(x100583,f335(a119,f643(x100583,x100582,x100581)))),f335(x100583,f643(x100583,x100582,x100581)))),x100582)) % 209.33/209.63 [10318]P106(f335(f335(f243(f934(f933(f934(x103181,a922),f934(x103181,a922)),a922)),f335(f335(f297(f934(x103181,a922),f934(x103181,a922),f934(x103181,a922)),f328(x103181,x103182)),f335(f335(f117(f934(f933(f934(x103181,a922),f934(x103181,a922)),a922)),f328(x103181,x103183)),f335(f335(f317(f933(f934(x103181,a922),f934(x103181,a922))),f335(f335(f260(f934(x103181,a922),f934(x103181,a922)),f195(f934(x103181,a922))),f195(f934(x103181,a922)))),f195(f934(f933(f934(x103181,a922),f934(x103181,a922)),a922)))))),f328(x103181,x103182)))+~P106(f335(f335(f243(f934(f933(x103181,x103181),a922)),f335(f335(f297(x103181,x103181,x103181),x103182),x103183)),x103182)) % 209.33/209.63 [10319]P106(f335(f335(f243(f934(f933(f934(x103191,a922),f934(x103191,a922)),a922)),f335(f335(f297(f934(x103191,a922),f934(x103191,a922),f934(x103191,a922)),f326(x103191,x103192)),f335(f335(f117(f934(f933(f934(x103191,a922),f934(x103191,a922)),a922)),f326(x103191,x103193)),f335(f335(f317(f933(f934(x103191,a922),f934(x103191,a922))),f335(f335(f260(f934(x103191,a922),f934(x103191,a922)),f195(f934(x103191,a922))),f195(f934(x103191,a922)))),f195(f934(f933(f934(x103191,a922),f934(x103191,a922)),a922)))))),f326(x103191,x103192)))+~P106(f335(f335(f243(f934(f933(x103191,x103191),a922)),f335(f335(f297(x103191,x103191,x103191),x103192),x103193)),x103192)) % 209.33/209.63 [7507]~P106(f335(f335(f243(a927),x75072),x75071))+E(f335(f335(f23(a927),f335(a119,f335(f335(f23(a927),x75071),x75072))),x75073),f335(f335(f23(a927),f335(a119,x75071)),f335(f335(f86(a927),x75072),x75073))) % 209.33/209.63 [7546]~P62(x75461)+E(f335(f335(f86(x75461),f50(x75461,x75462,x75463)),f335(f335(f87(x75461),f335(f335(f41(x75461),x75462),x75463)),x75463)),x75462) % 209.33/209.63 [7741]E(f335(f335(f87(a927),f335(f110(a927),x77411)),f335(f335(f87(a927),f335(f110(a927),x77412)),x77413)),f335(f335(f87(a927),f335(f110(a927),f335(f335(f87(a1),x77411),x77412))),x77413))+P106(f335(f335(f244(a1),x77411),a89)) % 209.33/209.63 [8198]~P106(f335(f335(f243(a927),x81983),x81982))+P106(f335(f335(f243(a927),x81981),f335(f335(f23(a927),f335(f335(f86(a927),x81982),x81981)),x81983))) % 209.33/209.63 [8393]~P106(f335(f335(f243(a927),x83931),x83932))+E(f335(f335(f141(a927),f146(a927,f335(f310(a927,x83931),x83932))),f146(a927,f335(f310(a927,x83932),f335(f335(f86(a927),x83932),x83933)))),f146(a927,f335(f310(a927,x83931),f335(f335(f86(a927),x83932),x83933)))) % 209.33/209.63 [8649]~P106(f335(f66(x86491),x86492))+E(f335(a119,f335(f40(x86491),f335(f335(f23(f934(x86491,a922)),x86492),f335(f335(f317(x86491),x86493),f195(f934(x86491,a922)))))),f335(f40(x86491),f335(f335(f317(x86491),x86493),x86492))) % 209.33/209.63 [8688]~P106(f335(f66(x86881),x86882))+E(f335(f335(f86(a927),f84(a927)),f335(f40(x86881),f335(f335(f23(f934(x86881,a922)),x86882),f335(f335(f317(x86881),x86883),f195(f934(x86881,a922)))))),f335(f40(x86881),f335(f335(f317(x86881),x86883),x86882))) % 209.33/209.63 [8877]E(f335(f335(f23(a927),f335(f40(x88771),x88772)),f335(f40(x88771),f335(f335(f108(f934(x88771,a922)),x88772),x88773))),f335(f40(x88771),f335(f335(f23(f934(x88771,a922)),x88772),x88773)))+~P106(f335(f66(x88771),f335(f335(f108(f934(x88771,a922)),x88772),x88773))) % 209.33/209.63 [9130]~P6(f335(x91302,f456(x91302,x91303,x91301)))+E(f335(f107(a1),f335(f335(f6(x91301,a927),f335(f335(f8(a1,a927,x91301),a111),x91302)),x91303)),f335(f335(f6(x91301,a1),x91302),x91303)) % 209.33/209.63 [9131]~P6(f335(x91312,f482(x91312,x91313,x91311)))+E(f335(f107(a1),f335(f335(f9(x91311,a927),f335(f335(f8(a1,a927,x91311),a111),x91312)),x91313)),f335(f335(f9(x91311,a1),x91312),x91313)) % 209.33/209.63 [9173]~P106(f335(f66(x91731),x91733))+P106(f335(f335(f243(a927),f335(f335(f23(a927),f335(f40(x91731),x91732)),f335(f40(x91731),x91733))),f335(f40(x91731),f335(f335(f23(f934(x91731,a922)),x91732),x91733)))) % 209.33/209.63 [9200]P106(f335(f335(f337(x92001),f456(x92002,x92003,x92001)),x92003))+E(f335(f107(a1),f335(f335(f6(x92001,a927),f335(f335(f8(a1,a927,x92001),a111),x92002)),x92003)),f335(f335(f6(x92001,a1),x92002),x92003)) % 209.33/209.63 [9201]P106(f335(f335(f337(x92011),f482(x92012,x92013,x92011)),x92013))+E(f335(f107(a1),f335(f335(f9(x92011,a927),f335(f335(f8(a1,a927,x92011),a111),x92012)),x92013)),f335(f335(f9(x92011,a1),x92012),x92013)) % 209.33/209.63 [9264]E(f91(x92641,f335(f335(f7(x92641,f934(x92641,a922),a922),f337(x92641)),f335(f335(f23(f934(x92641,a922)),x92642),f335(f335(f317(x92641),x92643),f195(f934(x92641,a922)))))),f255(x92641,x92643,x92642))+P106(f335(f335(f243(f934(x92641,a922)),x92642),f335(f335(f317(x92641),x92643),f195(f934(x92641,a922))))) % 209.33/209.63 [9612]E(f335(f335(f161(f928(x96121),x96121),f335(f335(f7(f928(x96121),a927,x96121),f171(x96121)),x96122)),f335(f143(f928(x96121),f335(f335(f8(a927,a922,f928(x96121)),f335(f244(a927),x96122)),f196(f928(x96121)))),x96123)),f335(f335(f171(f928(x96121)),f186(x96121,x96123)),x96122))+~P106(f335(f335(f244(a927),x96122),f335(f196(f928(f928(x96121))),f186(x96121,x96123)))) % 209.33/209.63 [9691]E(f335(f143(x96911,x96912),x96913),f184(x96911,x96912,x96913))+P106(f335(f335(f337(x96911),f745(x96913,x96912,x96911)),f335(f179(x96911),f335(f335(f145(x96911),f335(f196(f928(x96911)),f184(x96911,x96912,x96913))),x96913)))) % 209.33/209.63 [9829]E(f335(f335(f145(x98291),f335(f196(f928(x98291)),f184(x98291,x98292,x98293))),x98293),f120(x98291))+~P106(f335(x98292,f335(f148(x98291),f335(f335(f145(x98291),f335(f196(f928(x98291)),f184(x98291,x98292,x98293))),x98293)))) % 209.33/209.63 [9922]~P106(f335(f335(f337(f933(x99221,x99221)),x99222),f315(x99221,x99223)))+P106(f335(f335(f337(f933(x99221,x99221)),x99222),f335(f335(f44(a927,f934(f933(x99221,x99221),a922)),f250(f934(a927,a922))),f335(f335(f7(a927,f934(f933(x99221,x99221),a922),f934(f933(x99221,x99221),a922)),f190(f933(x99221,x99221),a922)),x99223)))) % 209.33/209.63 [9983]~P106(f335(f335(f243(f934(x99831,a922)),f335(f335(f44(a927,f934(x99831,a922)),f335(f310(a927,f2(a927)),f457(x99833,x99832,x99831))),x99832)),x99833))+P106(f335(f335(f243(f934(x99831,a922)),f335(f335(f44(a927,f934(x99831,a922)),f250(f934(a927,a922))),x99832)),x99833)) % 209.33/209.63 [10029]~P106(f335(f335(f244(a1),f2(a1)),x100293))+P106(f335(f335(f244(a1),x100291),f335(f335(f86(a1),x100292),f335(f335(f87(a1),f335(f335(f86(a1),f335(f81(a1),f335(f335(f23(a1),x100292),x100291))),f84(a1))),x100293)))) % 209.33/209.63 [10043]~P37(x100431,f335(f335(f117(f934(f933(x100431,x100431),a922)),x100432),x100433))+P37(x100431,f335(f335(f117(f934(f933(x100431,x100431),a922)),f335(f335(f117(f934(f933(x100431,x100431),a922)),f335(f335(f297(x100431,x100431,x100431),x100432),x100432)),f335(f335(f297(x100431,x100431,x100431),x100433),x100432))),x100433)) % 209.33/209.63 [10120]P37(x101201,f335(f335(f117(f934(f933(x101201,x101201),a922)),x101202),x101203))+~P37(x101201,f335(f335(f117(f934(f933(x101201,x101201),a922)),f335(f335(f117(f934(f933(x101201,x101201),a922)),f335(f335(f297(x101201,x101201,x101201),x101202),x101202)),f335(f335(f297(x101201,x101201,x101201),x101203),x101202))),x101203)) % 209.33/209.63 [9694]~P140(x96941)+E(f335(f109(x96941),f335(a95,f335(f293(f933(a927,a927),f933(a927,a927),a115),f335(f335(f317(f933(a927,a927)),f335(f335(f260(a927,a927),x96942),x96943)),f195(f934(f933(a927,a927),a922)))))),f335(f335(f23(x96941),f335(f107(x96941),x96942)),f335(f107(x96941),x96943))) % 209.33/209.63 [9776]P106(f335(x97763,x97762))+E(f335(f270(x97761),f335(f335(f18(x97761,a922,a922),f335(f335(f8(a922,f934(a922,a922),x97761),a333),f335(f335(f7(x97761,x97761,a922),a332),x97762))),x97763)),f195(f934(x97761,a922))) % 209.33/209.63 [9778]~P106(f335(x97783,x97782))+E(f335(f270(x97781),f335(f335(f18(x97781,a922,a922),f335(f335(f8(a922,f934(a922,a922),x97781),a333),f335(f335(f7(x97781,x97781,a922),a332),x97782))),x97783)),f335(f335(f317(x97781),x97782),f195(f934(x97781,a922)))) % 209.33/209.63 [10009]E(x100091,x100092)+P106(f335(f335(f251(x100093,x100093,f335(f335(f8(f934(x100093,a922),f934(x100093,a922),x100093),f335(f8(a922,a922,x100093),a330)),a332)),x100091),x100092)) % 209.33/209.63 [10099]~E(x100991,x100992)+~P106(f335(f335(f251(x100993,x100993,f335(f335(f8(f934(x100993,a922),f934(x100993,a922),x100993),f335(f8(a922,a922,x100993),a330)),a332)),x100991),x100992)) % 209.33/209.63 [10112]~P106(f335(f66(x101121),x101123))+E(f335(f335(f69(x101121,f934(x101121,a922),f335(f335(f8(f934(x101121,a922),f934(f934(x101121,a922),f934(x101121,a922)),x101121),f335(f7(f934(x101121,a922),f934(x101121,a922),f934(x101121,a922)),f23(f934(x101121,a922)))),f335(f335(f7(x101121,f934(x101121,a922),f934(x101121,a922)),f317(x101121)),f195(f934(x101121,a922))))),x101122),x101123),f335(f335(f23(f934(x101121,a922)),x101122),x101123)) % 209.33/209.63 [10142]~P106(f335(f335(f244(a1),f2(a1)),x101423))+P106(f335(f335(f244(a1),f335(f335(f23(a1),x101421),f335(f335(f87(a1),f335(f335(f86(a1),f335(f81(a1),f335(f335(f23(a1),x101421),x101422))),f84(a1))),x101423))),x101422)) % 209.33/209.63 [10408]~P106(f335(f335(f337(x104081),x104083),f324(x104081,x104082)))+P106(f335(f323(x104081,f335(f335(f7(x104081,f934(f933(x104081,x104081),a922),f934(x104081,a922)),f335(f335(f8(f934(x104081,f934(f934(f933(x104081,x104081),a922),a922)),f934(f934(f933(x104081,x104081),a922),f934(x104081,a922)),x104081),f7(x104081,f934(f933(x104081,x104081),a922),a922)),f335(f335(f8(f934(x104081,f933(x104081,x104081)),f934(x104081,f934(f934(f933(x104081,x104081),a922),a922)),x104081),f335(f8(f933(x104081,x104081),f934(f934(f933(x104081,x104081),a922),a922),x104081),f337(f933(x104081,x104081)))),f260(x104081,x104081)))),x104082)),x104083)) % 209.33/209.63 [10423]P106(f335(f335(f337(x104231),x104232),f324(x104231,x104233)))+~P106(f335(f323(x104231,f335(f335(f7(x104231,f934(f933(x104231,x104231),a922),f934(x104231,a922)),f335(f335(f8(f934(x104231,f934(f934(f933(x104231,x104231),a922),a922)),f934(f934(f933(x104231,x104231),a922),f934(x104231,a922)),x104231),f7(x104231,f934(f933(x104231,x104231),a922),a922)),f335(f335(f8(f934(x104231,f933(x104231,x104231)),f934(x104231,f934(f934(f933(x104231,x104231),a922),a922)),x104231),f335(f8(f933(x104231,x104231),f934(f934(f933(x104231,x104231),a922),a922),x104231),f337(f933(x104231,x104231)))),f260(x104231,x104231)))),x104233)),x104232)) % 209.33/209.63 [9981]~P106(f335(f66(x99811),f335(f270(x99811),x99813)))+P106(f335(f66(x99811),f335(f270(x99811),f335(f335(f18(x99811,a922,a922),f335(f335(f8(a922,f934(a922,a922),x99811),a333),x99812)),x99813)))) % 209.33/209.63 [9982]~P106(f335(f66(x99821),f335(f270(x99821),x99822)))+P106(f335(f66(x99821),f335(f270(x99821),f335(f335(f18(x99821,a922,a922),f335(f335(f8(a922,f934(a922,a922),x99821),a333),x99822)),x99823)))) % 209.33/209.63 [10078]P106(f335(f66(x100781),f335(f270(x100781),x100782)))+~P106(f335(f66(x100781),f335(f270(x100781),f335(f335(f18(x100781,a922,a922),f335(f335(f8(a922,f934(a922,a922),x100781),a334),x100783)),x100782)))) % 209.33/209.63 [10079]P106(f335(f66(x100791),f335(f270(x100791),x100792)))+~P106(f335(f66(x100791),f335(f270(x100791),f335(f335(f18(x100791,a922,a922),f335(f335(f8(a922,f934(a922,a922),x100791),a334),x100792)),x100793)))) % 209.33/209.63 [10384]~P106(f335(f66(x103841),x103842))+P106(f335(f66(f928(x103841)),f335(f270(f928(x103841)),f335(f335(f18(f928(x103841),a922,a922),f335(f335(f8(a922,f934(a922,a922),f928(x103841)),a333),f335(f335(f7(f928(x103841),f934(x103841,a922),a922),f335(f335(f8(f934(x103841,a922),f934(f934(x103841,a922),a922),f928(x103841)),f243(f934(x103841,a922))),f179(x103841))),x103842))),f335(f335(f7(f928(x103841),a927,a922),f335(f335(f8(a927,f934(a927,a922),f928(x103841)),a332),f196(f928(x103841)))),x103843))))) % 209.33/209.63 [10385]~P106(f335(f66(x103851),x103852))+P106(f335(f66(f928(x103851)),f335(f270(f928(x103851)),f335(f335(f18(f928(x103851),a922,a922),f335(f335(f8(a922,f934(a922,a922),f928(x103851)),a333),f335(f335(f7(f928(x103851),f934(x103851,a922),a922),f335(f335(f8(f934(x103851,a922),f934(f934(x103851,a922),a922),f928(x103851)),f243(f934(x103851,a922))),f179(x103851))),x103852))),f335(f335(f7(f928(x103851),a927,a922),f335(f335(f8(a927,f934(a927,a922),f928(x103851)),f243(a927)),f196(f928(x103851)))),x103853))))) % 209.33/209.63 [10092]~P116(x100921)+E(f335(f335(f252(x100921),x100922),f335(f335(f87(a927),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),x100923)),f335(f335(f87(x100921),f335(f335(f252(x100921),x100922),x100923)),f335(f335(f252(x100921),x100922),x100923))) % 209.33/209.63 [10123]~P80(x101231)+E(f335(f335(f252(x101231),f335(f335(f252(x101231),x101232),x101233)),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),f335(f335(f252(x101231),x101232),f335(f335(f87(a927),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),x101233))) % 209.33/209.63 [10181]~P140(x101811)+E(f335(f335(f252(x101811),f335(f85(x101811),x101812)),f335(f335(f87(a927),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),x101813)),f335(f335(f252(x101811),x101812),f335(f335(f87(a927),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),x101813))) % 209.33/209.63 [10328]~P122(x103281)+P106(f335(f335(f243(x103281),f2(x103281)),f335(f335(f86(x103281),f335(f335(f252(x103281),x103282),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))),f335(f335(f252(x103281),x103283),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))))) % 209.33/209.63 [10191]~P116(x101911)+E(f335(f335(f252(x101911),x101912),f335(a119,f335(f335(f87(a927),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),x101913))),f335(f335(f87(x101911),x101912),f335(f335(f87(x101911),f335(f335(f252(x101911),x101912),x101913)),f335(f335(f252(x101911),x101912),x101913)))) % 209.33/209.63 [10242]~P80(x102421)+E(f335(f335(f87(x102421),x102422),f335(f335(f252(x102421),f335(f335(f252(x102421),x102422),x102423)),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))),f335(f335(f252(x102421),x102422),f335(a119,f335(f335(f87(a927),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),x102423)))) % 209.33/209.63 [10283]~P122(x102831)+P106(f335(f335(f243(x102831),f2(x102831)),f335(f335(f252(x102831),x102832),f335(f335(f87(a927),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),x102833)))) % 209.33/209.63 [10359]~P93(x103591)+E(f335(f335(f23(x103591),f335(f335(f86(x103591),f335(f335(f252(x103591),x103592),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))),f335(f335(f252(x103591),x103593),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))))),f335(f335(f87(x103591),f335(f335(f87(x103591),f335(f110(x103591),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),x103592)),x103593)),f335(f335(f252(x103591),f335(f335(f23(x103591),x103592),x103593)),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))) % 209.33/209.63 [10360]~P93(x103601)+E(f335(f335(f86(x103601),f335(f335(f86(x103601),f335(f335(f252(x103601),x103602),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))),f335(f335(f252(x103601),x103603),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))))),f335(f335(f87(x103601),f335(f335(f87(x103601),f335(f110(x103601),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),x103602)),x103603)),f335(f335(f252(x103601),f335(f335(f86(x103601),x103602),x103603)),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))) % 209.33/209.63 [4918]E(x49181,x49182)+~E(f31(x49183,x49181),f31(x49184,x49182)) % 209.33/209.63 [4919]E(x49191,x49192)+~E(f31(x49191,x49193),f31(x49192,x49194)) % 209.33/209.63 [4920]E(x49201,x49202)+~E(f32(x49203,x49201),f32(x49204,x49202)) % 209.33/209.63 [4921]E(x49211,x49212)+~E(f32(x49211,x49213),f32(x49212,x49214)) % 209.33/209.63 [4922]E(x49221,x49222)+~E(f27(x49223,x49221),f27(x49224,x49222)) % 209.33/209.63 [4923]E(x49231,x49232)+~E(f27(x49231,x49233),f27(x49232,x49234)) % 209.33/209.63 [8001]P25(x80011,x80012,x80013,x80014)+~E(f440(x80014,x80013,x80012,x80011),f449(x80014,x80013,x80012,x80011)) % 209.33/209.63 [8289]P34(x82891,x82892,x82893,x82894,f120(x82892))+~E(x82894,f120(x82891)) % 209.33/209.63 [8290]P34(x82901,x82902,x82903,f120(x82901),x82904)+~E(x82904,f120(x82902)) % 209.33/209.63 [8825]~P34(x88252,x88253,x88254,x88251,f120(x88253))+E(x88251,f120(x88252)) % 209.33/209.63 [8826]~P34(x88263,x88262,x88264,f120(x88263),x88261)+E(x88261,f120(x88262)) % 209.33/209.63 [5303]~P17(x53033,x53031,x53034)+E(f335(f335(x53031,x53032),x53032),x53032) % 209.33/209.63 [5553]P106(f335(x55532,x55534))+E(f335(f143(x55531,x55532),f176(x55531,x55533,x55534)),f120(x55531)) % 209.33/209.63 [5590]~E(x55904,f195(f934(x55901,a922)))+E(f335(f318(x55901,x55902,x55903),x55904),f195(f934(x55902,a922))) % 209.33/209.63 [5833]~P106(f335(x58332,x58334))+E(f335(f143(x58331,x58332),f176(x58331,x58333,x58334)),f176(x58331,x58333,x58334)) % 209.33/209.63 [5862]~E(f335(f318(x58622,x58623,x58624),x58621),f195(f934(x58623,a922)))+E(x58621,f195(f934(x58622,a922))) % 209.33/209.63 [6049]~P7(x60491,x60493)+E(f279(x60491,x60492,f278(x60491,x60493),x60494),x60494) % 209.33/209.63 [6152]~P108(x61522)+E(f335(f335(f155(x61521,x61522,x61523),x61524),f120(x61521)),f335(f335(f158(x61521),x61524),f120(x61521))) % 209.33/209.63 [6507]~E(x65071,f195(f934(x65072,a922)))+~P106(f335(f67(x65072,x65073,x65071),x65074)) % 209.33/209.63 [6529]~P59(x65291,x65293,x65294,x65292)+P106(f335(f66(x65291),x65292)) % 209.33/209.63 [6531]~P59(x65311,x65313,x65312,x65314)+P106(f335(f66(x65311),x65312)) % 209.33/209.63 [6538]~P59(x65382,x65383,x65384,x65381)+~E(x65381,f195(f934(x65382,a922))) % 209.33/209.63 [6570]~P110(x65701)+E(f335(f335(f108(f934(x65701,a922)),f335(f310(x65701,x65702),x65703)),f311(x65701,x65703,x65704)),f195(f934(x65701,a922))) % 209.33/209.63 [6596]~P106(f335(f335(x65963,x65964),x65962))+P106(f335(f335(f337(x65961),x65962),f302(x65961,x65963,x65964))) % 209.33/209.63 [6597]~P106(f335(f335(x65973,x65974),x65972))+P106(f335(f335(f337(x65971),x65972),f303(x65971,x65973,x65974))) % 209.33/209.63 [6598]~P106(f335(f335(x65983,x65982),x65984))+P106(f335(f335(f337(x65981),x65982),f304(x65981,x65983,x65984))) % 209.33/209.63 [6599]~P106(f335(f335(x65993,x65992),x65994))+P106(f335(f335(f337(x65991),x65992),f306(x65991,x65993,x65994))) % 209.33/209.63 [6662]~P49(x66624,x66621,x66622,x66623)+P106(f335(f335(x66621,x66622),x66623)) % 209.33/209.63 [6739]~P110(x67391)+E(f335(f335(f108(f934(x67391,a922)),f314(x67391,x67392,x67393)),f311(x67391,x67393,x67394)),f195(f934(x67391,a922))) % 209.33/209.63 [6740]~P110(x67401)+E(f335(f335(f108(f934(x67401,a922)),f313(x67401,x67402,x67403)),f314(x67401,x67403,x67404)),f195(f934(x67401,a922))) % 209.33/209.63 [6741]~P110(x67411)+E(f335(f335(f108(f934(x67411,a922)),f313(x67411,x67412,x67413)),f313(x67411,x67413,x67414)),f195(f934(x67411,a922))) % 209.33/209.63 [6742]~P110(x67421)+E(f335(f335(f108(f934(x67421,a922)),f311(x67421,x67422,x67423)),f314(x67421,x67423,x67424)),f195(f934(x67421,a922))) % 209.33/209.63 [6743]~P110(x67431)+E(f335(f335(f108(f934(x67431,a922)),f311(x67431,x67432,x67433)),f313(x67431,x67433,x67434)),f195(f934(x67431,a922))) % 209.33/209.63 [6781]P106(f335(f335(x67811,x67812),f890(x67812,x67811)))+~P106(f335(f257(x67813,x67814,x67811),x67812)) % 209.33/209.63 [6785]~P49(x67851,x67852,x67853,x67854)+~P106(f335(f335(x67852,x67854),x67853)) % 209.33/209.63 [6861]~P108(x68612)+E(f335(f179(x68611),f157(x68611,x68612,x68613,x68614)),f335(f179(x68611),x68614)) % 209.33/209.63 [6911]~P146(x69111)+E(f197(x69111,x69112,f335(a119,x69113),x69114),f197(x69111,x69112,x69113,f335(x69112,x69114))) % 209.33/209.63 [6973]~P106(f335(f335(f337(x69734),x69733),f302(x69734,x69731,x69732)))+P106(f335(f335(x69731,x69732),x69733)) % 209.33/209.63 [6974]~P106(f335(f335(f337(x69744),x69743),f303(x69744,x69741,x69742)))+P106(f335(f335(x69741,x69742),x69743)) % 209.33/209.63 [6975]~P106(f335(f335(f337(x69754),x69752),f304(x69754,x69751,x69753)))+P106(f335(f335(x69751,x69752),x69753)) % 209.33/209.63 [6976]~P106(f335(f335(f337(x69764),x69762),f306(x69764,x69761,x69763)))+P106(f335(f335(x69761,x69762),x69763)) % 209.33/209.63 [7050]E(f335(f40(f935(x70501,x70502)),f321(x70501,x70502,x70503,x70504)),f2(a927))+P106(f335(f66(x70502),x70504)) % 209.33/209.63 [7051]E(f335(f40(f935(x70511,x70512)),f321(x70511,x70512,x70513,x70514)),f2(a927))+P106(f335(f66(x70511),x70513)) % 209.33/209.63 [7249]~P14(x72494,x72491,x72492)+E(f335(f78(x72491,x72491,x72491,f335(x72492,x72493)),f335(x72492,x72493)),f335(x72492,x72493)) % 209.33/209.63 [7489]E(f285(x74891,x74892,x74893,x74894),f335(f260(f934(a106,f934(a922,f931(f929(x74891)))),f933(a106,a106)),f46(x74891)))+~P106(f335(f335(f243(a106),x74893),f2(a106))) % 209.33/209.63 [8120]~E(x81202,x81203)+P106(f335(f335(f337(f933(x81201,x81201)),f335(f335(f260(x81201,x81201),x81202),x81203)),f315(x81201,x81204))) % 209.33/209.63 [8149]~P25(x81491,x81492,x81493,f250(f934(x81491,a922)))+E(f335(f83(x81491,x81492,f250(f934(x81491,a922)),x81493),f335(x81493,x81494)),x81494) % 209.33/209.63 [8150]~P25(x81501,x81502,x81503,f250(f934(x81501,a922)))+E(f335(f97(x81501,x81502,f250(f934(x81501,a922)),x81503),f335(x81503,x81504)),x81504) % 209.33/209.63 [8238]~P106(f335(f335(f337(f928(x82381)),f335(f335(f158(x82381),x82384),x82382)),f168(x82381,x82383)))+P106(f335(f335(f337(f928(x82381)),x82382),f168(x82381,x82383))) % 209.33/209.63 [8239]~P106(f335(f335(f337(f928(x82391)),f335(f335(f141(x82391),x82394),x82392)),f168(x82391,x82393)))+P106(f335(f335(f337(f928(x82391)),x82392),f168(x82391,x82393))) % 209.33/209.63 [8240]~P106(f335(f335(f337(f928(x82401)),f335(f335(f141(x82401),x82402),x82404)),f168(x82401,x82403)))+P106(f335(f335(f337(f928(x82401)),x82402),f168(x82401,x82403))) % 209.33/209.63 [8251]~P108(x82511)+P13(x82511,f335(f335(f161(x82512,x82511),x82513),f157(x82512,x82511,x82513,x82514))) % 209.33/209.63 [8351]P25(x83514,x83513,x83511,x83512)+E(f335(x83511,f440(x83512,x83511,x83513,x83514)),f335(x83511,f449(x83512,x83511,x83513,x83514))) % 209.33/209.63 [8458]~P25(x84582,x84581,x84584,x84583)+P25(x84581,x84582,f83(x84582,x84581,x84583,x84584),f335(f318(x84582,x84581,x84584),x84583)) % 209.33/209.63 [8598]P37(f933(x85982,x85984),f288(x85982,x85984,x85981,x85983))+P106(f335(x85981,f915(x85982,x85983,x85984,x85981))) % 209.33/209.63 [8713]E(x87131,x87132)+~P106(f335(f335(f337(f933(x87133,x87133)),f335(f335(f260(x87133,x87133),x87131),x87132)),f271(x87133,x87134))) % 209.33/209.63 [8777]~P106(f335(f66(f935(x87773,x87771)),f321(x87773,x87771,x87774,x87772)))+P106(f335(f66(x87771),x87772)) % 209.33/209.63 [8778]~P106(f335(f66(f935(x87781,x87783)),f321(x87781,x87783,x87782,x87784)))+P106(f335(f66(x87781),x87782)) % 209.33/209.63 [8787]~P25(x87871,x87872,x87873,x87874)+P26(x87871,x87872,x87873,x87874,f335(f318(x87871,x87872,x87873),x87874)) % 209.33/209.63 [8788]P11(x87881,x87882,x87883,x87884)+~E(f335(x87884,f908(x87882,x87884,x87883,x87881)),f335(x87884,f909(x87882,x87884,x87883,x87881))) % 209.33/209.63 [8878]~P26(x88782,x88783,x88784,x88781,f195(f934(x88783,a922)))+E(x88781,f195(f934(x88782,a922))) % 209.33/209.63 [8879]~P26(x88793,x88792,x88794,f195(f934(x88793,a922)),x88791)+E(x88791,f195(f934(x88792,a922))) % 209.33/209.63 [8971]P37(f933(x89711,x89712),f288(x89711,x89712,x89713,x89714))+~P37(x89712,f335(x89714,f915(x89711,x89714,x89712,x89713))) % 209.33/209.63 [9534]E(f335(f335(f166(x95341,x95342),f692(x95343,x95344,x95342,x95341)),f693(x95343,x95344,x95342,x95341)),x95344)+~P106(f335(f335(f337(f933(f928(x95341),f928(x95341))),f335(f335(f260(f928(x95341),f928(x95341)),x95342),x95344)),f164(x95341,x95343))) % 209.33/209.63 [9539]~P106(f335(f335(f337(f933(f928(x95391),f928(x95391))),f335(f335(f260(f928(x95391),f928(x95391)),x95392),x95393)),f152(x95391,x95394)))+P106(f335(f335(f337(f933(f928(x95391),f928(x95391))),f335(f335(f260(f928(x95391),f928(x95391)),x95392),x95393)),f154(x95391,x95394))) % 209.33/209.63 [9648]P106(f335(f66(x96481),x96482))+~P106(f335(f335(f337(f933(f934(x96481,a922),f934(x96481,a922))),f335(f335(f260(f934(x96481,a922),f934(x96481,a922)),x96483),x96482)),f326(x96481,x96484))) % 209.33/209.63 [9649]P106(f335(f66(x96491),x96492))+~P106(f335(f335(f337(f933(f934(x96491,a922),f934(x96491,a922))),f335(f335(f260(f934(x96491,a922),f934(x96491,a922)),x96492),x96493)),f326(x96491,x96494))) % 209.33/209.63 [9652]~E(x96521,f195(f934(x96522,a922)))+~P106(f335(f335(f337(f933(f934(x96522,a922),f934(x96522,a922))),f335(f335(f260(f934(x96522,a922),f934(x96522,a922)),x96523),x96521)),f326(x96522,x96524))) % 209.33/209.63 [10294]P11(x102941,x102942,x102943,x102944)+~P106(f335(f335(f265(x102941,x102941,a922),f335(f335(f7(x102941,f934(x102941,x102942),f934(x102941,a922)),f335(f335(f8(f934(x102942,a922),f934(f934(x102941,x102942),f934(x102941,a922)),x102941),f8(x102942,a922,x102941)),f335(f335(f8(x102942,f934(x102942,a922),x102941),a332),x102944))),x102944)),f575(x102944,x102943,x102942,x102941))) % 209.33/209.63 [5202]~E(x52022,f120(x52021))+E(f335(f335(f166(x52021,x52022),x52023),x52024),f120(x52021)) % 209.33/209.63 [5203]~E(x52034,f120(x52031))+E(f335(f335(f161(x52031,x52032),x52033),x52034),f120(x52032)) % 209.33/209.63 [5436]E(x54361,f120(x54362))+~E(f335(f335(f161(x54362,x54363),x54364),x54361),f120(x54363)) % 209.33/209.63 [5437]E(x54371,f120(x54372))+~E(f335(f335(f166(x54372,x54371),x54373),x54374),f120(x54372)) % 209.33/209.63 [5474]E(x54741,x54742)+~E(f335(f335(f141(x54743),x54744),x54741),f335(f335(f141(x54743),x54744),x54742)) % 209.33/209.63 [5475]E(x54751,x54752)+~E(f335(f335(f141(x54753),x54751),x54754),f335(f335(f141(x54753),x54752),x54754)) % 209.33/209.63 [5626]P106(f335(x56263,x56262))+E(f177(x56261,x56262,f335(f143(x56261,x56263),x56264)),f335(f143(x56261,x56263),x56264)) % 209.33/209.63 [5628]~P106(f335(x56282,x56283))+P33(x56281,x56282,f335(f335(f158(x56281),x56283),x56284)) % 209.33/209.63 [5637]E(x56371,x56372)+~E(f146(a927,f335(f310(a927,x56371),x56373)),f335(f335(f158(a927),x56372),x56374)) % 209.33/209.63 [5686]~P37(x56862,x56863)+P37(x56861,f335(f335(f296(x56862,x56861),x56863),x56864)) % 209.33/209.63 [5687]~P27(x56872,x56873)+P27(x56871,f335(f335(f79(x56872,x56871),x56873),x56874)) % 209.33/209.63 [5688]~P38(x56882,x56883)+P38(x56881,f335(f335(f296(x56882,x56881),x56883),x56884)) % 209.33/209.63 [5689]~P52(x56892,x56893)+P52(x56891,f335(f335(f296(x56892,x56891),x56893),x56894)) % 209.33/209.63 [5817]~P33(x58171,x58172,x58174)+P33(x58171,x58172,f335(f335(f158(x58171),x58173),x58174)) % 209.33/209.63 [5818]~P33(x58181,x58182,x58184)+P33(x58181,x58182,f335(f335(f141(x58181),x58183),x58184)) % 209.33/209.63 [5819]~P33(x58191,x58192,x58193)+P33(x58191,x58192,f335(f335(f141(x58191),x58193),x58194)) % 209.33/209.63 [5905]~E(x59051,f120(x59052))+~E(f335(f335(f141(x59052),x59053),f335(f335(f158(x59052),x59054),f120(x59052))),x59051) % 209.33/209.63 [5930]~P31(x59303,x59301,f335(f335(f158(x59303),x59302),x59304))+P106(f335(x59301,x59302)) % 209.33/209.63 [5940]E(f121(x59401,x59402),x59403)+~E(f335(f335(f141(x59401),x59403),f335(f335(f158(x59401),x59404),f120(x59401))),x59402) % 209.33/209.63 [5941]E(f151(x59411,x59412),x59413)+~E(f335(f335(f141(x59411),x59414),f335(f335(f158(x59411),x59413),f120(x59411))),x59412) % 209.33/209.63 [6051]~E(f146(a927,f335(f310(a927,x60511),x60512)),f335(f335(f158(a927),x60513),x60514))+P106(f335(f335(f244(a927),x60511),x60512)) % 209.33/209.63 [6060]P31(x60601,x60602,x60603)+~P31(x60601,x60602,f335(f335(f158(x60601),x60604),x60603)) % 209.33/209.63 [6061]P31(x60611,x60612,x60613)+~P31(x60611,x60612,f335(f335(f141(x60611),x60614),x60613)) % 209.33/209.63 [6062]P31(x60621,x60622,x60623)+~P31(x60621,x60622,f335(f335(f141(x60621),x60623),x60624)) % 209.33/209.63 [6255]E(x62551,f335(f335(f141(x62552),f335(f175(x62552),x62553)),f335(f335(f158(x62552),x62554),f120(x62552))))+~E(f335(f175(x62552),x62551),f335(f335(f158(x62552),x62554),x62553)) % 209.33/209.63 [6429]~P110(x64291)+E(f335(f335(f108(f934(x64291,a922)),f335(f310(x64291,x64292),x64293)),f335(f310(x64291,x64293),x64294)),f195(f934(x64291,a922))) % 209.33/209.63 [6440]E(f335(f335(f171(x64401),f176(x64401,x64402,x64403)),x64404),x64403)+~P106(f335(f335(f244(a927),x64404),x64402)) % 209.33/209.63 [6467]~P75(x64671)+E(f335(f172(x64671),f335(f335(f161(a1,x64671),x64672),f185(x64673,x64674))),f335(f335(f6(a1,x64671),x64672),f335(f179(a1),f185(x64673,x64674)))) % 209.33/209.63 [6468]~P75(x64681)+E(f335(f335(f6(a1,x64681),x64682),f335(f179(a1),f185(x64683,x64684))),f335(f172(x64681),f335(f335(f161(a1,x64681),x64682),f185(x64683,x64684)))) % 209.33/209.63 [6609]~E(x66092,f335(f335(f141(x66091),f335(f175(x66091),x66094)),f335(f335(f158(x66091),x66093),f120(x66091))))+E(f335(f175(x66091),x66092),f335(f335(f158(x66091),x66093),x66094)) % 209.33/209.63 [6625]~P19(x66252,x66253,x66254,x66251)+E(f335(x66251,f195(f934(x66252,a922))),f25(x66253)) % 209.33/209.63 [6651]~P110(x66511)+E(f335(f335(f108(f934(x66511,a922)),f314(x66511,x66512,x66513)),f335(f310(x66511,x66513),x66514)),f195(f934(x66511,a922))) % 209.33/209.63 [6862]E(x68621,f195(f934(x68622,a922)))+~E(f321(x68623,x68622,x68624,x68621),f195(f934(f935(x68623,x68622),a922))) % 209.33/209.63 [6863]E(x68631,f195(f934(x68632,a922)))+~E(f321(x68632,x68633,x68631,x68634),f195(f934(f935(x68632,x68633),a922))) % 209.33/209.63 [6932]~P108(x69322)+E(f335(f196(f928(x69321)),f157(x69321,x69322,x69323,x69324)),f335(f196(f928(x69321)),x69324)) % 209.33/209.63 [6943]~P106(f335(f258(x69433,x69434,x69431),x69432))+P106(f335(f335(x69431,f891(x69432,x69431)),x69432)) % 209.33/209.63 [6984]~P106(f335(f66(x69842),x69844))+P106(f335(f66(x69841),f335(f318(x69842,x69841,x69843),x69844))) % 209.33/209.63 [7211]~P25(x72112,x72111,x72113,x72114)+E(f335(f40(x72111),f335(f318(x72112,x72111,x72113),x72114)),f335(f40(x72112),x72114)) % 209.33/209.63 [7229]E(f335(f318(x72291,x72292,x72293),f335(f319(x72291,x72292,x72293),x72294)),x72294)+~E(f335(f318(x72291,x72292,x72293),f250(f934(x72291,a922))),f250(f934(x72292,a922))) % 209.33/209.63 [7643]~P25(x76431,x76432,x76433,f250(f934(x76431,a922)))+E(f335(f319(x76431,x76432,x76433),f335(f318(x76431,x76432,x76433),x76434)),x76434) % 209.33/209.63 [7919]E(x79191,x79192)+~P106(f335(f335(f337(x79193),x79191),f335(f179(x79193),f176(x79193,x79194,x79192)))) % 209.33/209.63 [7928]~E(x79281,f2(a927))+~P106(f335(f335(f337(x79282),x79283),f335(f179(x79282),f176(x79282,x79281,x79284)))) % 209.33/209.63 [7961]P106(f335(x79611,x79612))+~P106(f335(f335(f337(x79613),x79612),f335(f179(x79613),f184(x79613,x79611,x79614)))) % 209.33/209.63 [8067]~P106(f335(f335(f337(f928(x80671)),f335(f335(f158(x80671),x80672),x80674)),f168(x80671,x80673)))+P106(f335(f335(f337(x80671),x80672),x80673)) % 209.33/209.63 [8195]~P106(f335(f335(f337(x81951),x81952),f335(f179(x81951),f183(x81951,x81953,x81954))))+P106(f335(f335(f337(x81951),x81952),f335(f179(x81951),x81953))) % 209.33/209.63 [8196]~P106(f335(f335(f337(x81961),x81962),f335(f179(x81961),f177(x81961,x81964,x81963))))+P106(f335(f335(f337(x81961),x81962),f335(f179(x81961),x81963))) % 209.33/209.63 [8197]~P106(f335(f335(f337(x81971),x81972),f335(f179(x81971),f184(x81971,x81974,x81973))))+P106(f335(f335(f337(x81971),x81972),f335(f179(x81971),x81973))) % 209.33/209.63 [8207]E(f335(f196(f928(x82071)),x82072),x82073)+~P106(f335(f335(f337(f928(x82071)),x82072),f335(f179(f928(x82071)),f60(x82071,x82073,x82074)))) % 209.33/209.63 [8302]P106(f335(x83023,x83022))+E(f335(f143(x83021,f335(f335(f8(a922,a922,x83021),a330),f335(a332,x83022))),f335(f143(x83021,x83023),x83024)),f335(f143(x83021,x83023),x83024)) % 209.33/209.63 [8409]E(f335(f335(f171(x84091),f184(x84091,x84092,x84093)),x84094),f335(f335(f171(x84091),x84093),x84094))+~P106(f335(f335(f244(a927),x84094),f335(f196(f928(x84091)),f184(x84091,x84092,x84093)))) % 209.33/209.63 [8496]~P75(x84961)+E(f335(f335(f6(a927,x84961),f335(f335(f8(a927,x84961,a927),x84962),a119)),f335(f310(a927,x84963),x84964)),f335(f335(f6(a927,x84961),x84962),f335(f310(a927,f335(a119,x84963)),f335(a119,x84964)))) % 209.33/209.63 [8506]~P75(x85061)+E(f335(f335(f6(a927,x85061),f335(f335(f8(a927,x85061,a927),x85062),a119)),f311(a927,x85063,x85064)),f335(f335(f6(a927,x85061),x85062),f311(a927,f335(a119,x85063),f335(a119,x85064)))) % 209.33/209.63 [8634]~P25(x86341,x86343,x86344,f250(f934(x86341,a922)))+P25(x86341,f934(x86342,x86343),f335(f335(f8(x86343,f934(x86342,x86343),x86341),f16(x86343,x86342)),x86344),f250(f934(x86341,a922))) % 209.33/209.63 [8719]~P25(x87192,x87191,x87194,x87193)+E(f335(f318(x87191,x87192,f83(x87192,x87191,x87193,x87194)),f335(f318(x87192,x87191,x87194),x87193)),x87193) % 209.33/209.63 [8779]~P106(f335(f335(f337(f933(x87791,x87791)),f335(f335(f260(x87791,x87791),x87792),x87794)),f271(x87791,x87793)))+P106(f335(f335(f337(x87791),x87792),x87793)) % 209.33/209.63 [8902]~P25(x89022,x89021,x89023,f250(f934(x89022,a922)))+E(f335(f318(x89021,x89022,f97(x89022,x89021,f250(f934(x89022,a922)),x89023)),f335(f318(x89022,x89021,x89023),x89024)),x89024) % 209.33/209.63 [8977]~P26(x89771,x89772,x89773,x89774,f250(f934(x89772,a922)))+E(f335(f318(x89771,x89772,x89773),f250(f934(x89771,a922))),f250(f934(x89772,a922))) % 209.33/209.63 [9010]~E(f335(f335(f6(x90101,a927),x90104),x90103),f335(a119,x90102))+P106(f335(f335(f337(x90101),f594(x90102,x90103,x90104,x90101)),x90103)) % 209.33/209.63 [9031]~E(f335(f335(f6(x90314,a927),x90311),x90313),f335(a119,x90312))+P106(f335(f335(f244(a927),f2(a927)),f335(x90311,f594(x90312,x90313,x90311,x90314)))) % 209.33/209.63 [9042]~P106(f335(f66(x90422),x90424))+P106(f335(f335(f243(a927),f335(f40(x90421),f335(f318(x90422,x90421,x90423),x90424))),f335(f40(x90422),x90424))) % 209.33/209.63 [9043]E(f335(f335(f260(x90431,x90432),f664(x90433,x90434,x90432,x90431)),f665(x90433,x90434,x90432,x90431)),x90434)+~P106(f335(f335(f337(f933(x90431,x90432)),x90434),f335(f294(x90432,x90431),x90433))) % 209.33/209.63 [9051]P25(x90511,x90512,x90513,x90514)+P106(f335(f335(f337(x90511),f440(x90514,x90513,x90512,x90511)),x90514)) % 209.33/209.63 [9052]P25(x90521,x90522,x90523,x90524)+P106(f335(f335(f337(x90521),f449(x90524,x90523,x90522,x90521)),x90524)) % 209.33/209.63 [9120]P11(x91201,x91202,x91203,x91204)+P106(f335(f335(f337(f933(x91201,x91201)),f575(x91204,x91203,x91202,x91201)),x91203)) % 209.33/209.63 [9178]P106(f335(x91781,x91782))+~P106(f335(x91781,f335(f335(f260(x91783,x91784),f368(x91784,x91783,x91781)),f369(x91784,x91783,x91781)))) % 209.33/209.63 [9195]E(f335(f196(f928(x91951)),x91952),f335(f196(f928(x91951)),x91953))+~P106(f335(f335(f337(f933(f928(x91951),f928(x91951))),f335(f335(f260(f928(x91951),f928(x91951)),x91952),x91953)),f152(x91951,x91954))) % 209.33/209.63 [9196]E(f335(f196(f928(x91961)),x91962),f335(f196(f928(x91961)),x91963))+~P106(f335(f335(f337(f933(f928(x91961),f928(x91961))),f335(f335(f260(f928(x91961),f928(x91961)),x91962),x91963)),f164(x91961,x91964))) % 209.33/209.63 [9199]E(f335(f196(f928(x91991)),x91992),f335(f196(f928(x91991)),x91993))+~P106(f335(f335(f337(f933(f928(x91991),f928(x91991))),f335(f335(f260(f928(x91991),f928(x91991)),x91992),x91993)),f165(x91991,x91994))) % 209.33/209.63 [9268]P106(f335(f335(f243(a927),f162(x92681,x92682,x92683)),f162(x92681,x92684,x92683)))+P106(f335(f335(f337(x92681),f691(x92684,x92682,x92683,x92681)),f335(f179(x92681),x92683))) % 209.33/209.63 [9271]E(f335(f196(f928(x92711)),x92712),f335(f196(f928(x92711)),x92713))+~P106(f335(f335(f337(f933(f928(x92711),f928(x92711))),f335(f335(f260(f928(x92711),f928(x92711)),x92712),x92713)),f315(f928(x92711),f164(x92711,x92714)))) % 209.33/209.63 [9505]~P25(x95051,x95052,x95053,x95054)+~P106(f335(f335(f244(a927),f335(f40(x95052),f335(f318(x95051,x95052,x95053),x95054))),f335(f40(x95051),x95054))) % 209.33/209.63 [9552]~P106(f335(f335(f337(f933(f928(x95521),f928(x95521))),f335(f335(f260(f928(x95521),f928(x95521)),x95522),x95523)),f164(x95521,x95524)))+P106(f335(f335(f337(f933(f928(x95521),f928(x95521))),f335(f335(f260(f928(x95521),f928(x95521)),x95522),x95523)),f165(x95521,f315(x95521,x95524)))) % 209.33/209.63 [9556]~P106(f335(f335(f337(f933(f928(x95561),f928(x95561))),f335(f335(f260(f928(x95561),f928(x95561)),x95562),x95563)),f165(x95561,x95564)))+P106(f335(f335(f337(f933(f928(x95561),f928(x95561))),f335(f335(f260(f928(x95561),f928(x95561)),x95562),x95563)),f315(f928(x95561),f164(x95561,x95564)))) % 209.33/209.63 [9572]P106(f335(f335(f337(f933(x95721,x95721)),f335(f335(f260(x95721,x95721),x95722),x95723)),f315(x95721,x95724)))+~P106(f335(f335(f337(f933(x95721,x95721)),f335(f335(f260(x95721,x95721),x95722),x95723)),f335(f335(f297(x95721,x95721,x95721),x95724),f315(x95721,x95724)))) % 209.33/209.63 [9757]E(f335(f335(f141(x97571),f710(x97572,x97573,x97574,x97571)),f335(f335(f158(x97571),f708(x97572,x97573,x97574,x97571)),f711(x97572,x97573,x97574,x97571))),x97574)+~P106(f335(f335(f337(f933(f928(x97571),f928(x97571))),f335(f335(f260(f928(x97571),f928(x97571)),x97574),x97573)),f164(x97571,x97572))) % 209.33/209.63 [9758]E(f335(f335(f141(x97581),f710(x97582,x97583,x97584,x97581)),f335(f335(f158(x97581),f709(x97582,x97583,x97584,x97581)),f711(x97582,x97583,x97584,x97581))),x97583)+~P106(f335(f335(f337(f933(f928(x97581),f928(x97581))),f335(f335(f260(f928(x97581),f928(x97581)),x97584),x97583)),f164(x97581,x97582))) % 209.33/209.63 [9836]P106(f335(f335(f337(f933(x98361,x98361)),f335(f335(f260(x98361,x98361),x98362),f636(x98363,x98364,x98362,x98361))),f315(x98361,x98363)))+~P106(f335(f335(f337(f933(x98361,x98361)),f335(f335(f260(x98361,x98361),x98362),x98364)),f335(f335(f297(x98361,x98361,x98361),x98363),f315(x98361,x98363)))) % 209.33/209.63 [9905]P106(f335(f335(f243(a927),f162(x99051,x99052,x99053)),f162(x99051,x99054,x99053)))+~P106(f335(f335(f244(a927),f335(x99052,f691(x99054,x99052,x99053,x99051))),f335(x99054,f691(x99054,x99052,x99053,x99051)))) % 209.33/209.63 [9977]P106(f335(f335(f337(f933(x99771,x99771)),f335(f335(f260(x99771,x99771),f635(x99772,x99773,x99774,x99771)),x99773)),f315(x99771,x99772)))+~P106(f335(f335(f337(f933(x99771,x99771)),f335(f335(f260(x99771,x99771),x99774),x99773)),f335(f335(f297(x99771,x99771,x99771),x99772),f315(x99771,x99772)))) % 209.33/209.63 [5455]~E(x54552,x54553)+E(f177(x54551,x54552,f335(f335(f158(x54551),x54553),x54554)),x54554) % 209.33/209.63 [5583]P106(f335(x55832,x55833))+E(f184(x55831,x55832,f335(f335(f158(x55831),x55833),x55834)),f120(x55831)) % 209.33/209.63 [5649]~P82(x56492)+E(f335(f335(f85(f934(x56491,x56492)),x56493),x56494),f335(f85(x56492),f335(x56493,x56494))) % 209.33/209.63 [5662]~E(x56622,f2(a927))+E(f335(f335(f145(x56621),x56622),f335(f335(f158(x56621),x56623),x56624)),f335(f335(f158(x56621),x56623),x56624)) % 209.33/209.63 [5663]P106(f335(x56632,x56633))+E(f335(f143(x56631,x56632),f335(f335(f158(x56631),x56633),x56634)),f335(f143(x56631,x56632),x56634)) % 209.33/209.63 [5800]~E(x58002,x58004)+P106(f335(f335(f335(f317(x58001),x58002),x58003),x58004)) % 209.33/209.63 [5808]E(x58081,f120(x58082))+E(f151(x58083,f335(f335(f161(x58082,x58083),x58084),x58081)),f335(x58084,f151(x58082,x58081))) % 209.33/209.63 [5822]~E(x58221,f68(x58222,x58224))+E(f335(x58221,f335(f335(f317(x58222),x58223),f195(f934(x58222,a922)))),x58223) % 209.33/209.63 [5857]E(x58571,f120(x58572))+E(f335(f148(x58573),f335(f335(f161(x58572,x58573),x58574),x58571)),f335(x58574,f335(f148(x58572),x58571))) % 209.33/209.63 [5960]~P106(f335(x59603,x59604))+P106(f335(f335(f335(f317(x59601),x59602),x59603),x59604)) % 209.33/209.63 [6079]~P18(x60792,x60794,x60791)+E(f335(x60791,f335(f335(f317(x60792),x60793),f195(f934(x60792,a922)))),x60793) % 209.33/209.63 [6105]~E(x61052,x61053)+P106(f335(f335(f337(x61051),x61052),f335(f335(f317(x61051),x61053),x61054))) % 209.33/209.63 [6110]~P116(x61101)+E(f335(f335(f87(x61101),x61102),f335(f335(f87(x61101),x61103),x61104)),f335(f335(f87(x61101),x61103),f335(f335(f87(x61101),x61102),x61104))) % 209.33/209.63 [6111]~P96(x61111)+E(f335(f335(f108(x61111),x61112),f335(f335(f108(x61111),x61113),x61114)),f335(f335(f108(x61111),x61113),f335(f335(f108(x61111),x61112),x61114))) % 209.33/209.63 [6113]~P101(x61131)+E(f335(f335(f108(x61131),x61132),f335(f335(f108(x61131),x61133),x61134)),f335(f335(f108(x61131),x61133),f335(f335(f108(x61131),x61132),x61134))) % 209.33/209.63 [6114]~P96(x61141)+E(f335(f335(f117(x61141),x61142),f335(f335(f117(x61141),x61143),x61144)),f335(f335(f117(x61141),x61143),f335(f335(f117(x61141),x61142),x61144))) % 209.33/209.63 [6116]~P102(x61161)+E(f335(f335(f117(x61161),x61162),f335(f335(f117(x61161),x61163),x61164)),f335(f335(f117(x61161),x61163),f335(f335(f117(x61161),x61162),x61164))) % 209.33/209.63 [6117]~P116(x61171)+E(f335(f335(f86(x61171),x61172),f335(f335(f86(x61171),x61173),x61174)),f335(f335(f86(x61171),x61173),f335(f335(f86(x61171),x61172),x61174))) % 209.33/209.63 [6119]~P108(x61191)+E(f335(f335(f241(x61191),x61192),f335(f335(f241(x61191),x61193),x61194)),f335(f335(f241(x61191),x61193),f335(f335(f241(x61191),x61192),x61194))) % 209.33/209.63 [6121]~P108(x61211)+E(f335(f335(f242(x61211),x61212),f335(f335(f242(x61211),x61213),x61214)),f335(f335(f242(x61211),x61213),f335(f335(f242(x61211),x61212),x61214))) % 209.33/209.63 [6126]E(x61261,x61262)+E(f177(x61263,x61261,f335(f335(f158(x61263),x61262),x61264)),f335(f335(f158(x61263),x61262),f177(x61263,x61261,x61264))) % 209.33/209.63 [6139]~P106(f335(x61392,x61393))+E(f335(f143(x61391,x61392),f335(f335(f158(x61391),x61393),x61394)),f335(f335(f158(x61391),x61393),f335(f143(x61391,x61392),x61394))) % 209.33/209.63 [6275]~P106(f335(x62752,x62753))+E(f184(x62751,x62752,f335(f335(f158(x62751),x62753),x62754)),f335(f335(f158(x62751),x62753),f184(x62751,x62752,x62754))) % 209.33/209.63 [6339]E(x63391,f195(f934(x63392,a922)))+E(f335(f335(f44(x63392,f934(x63393,a922)),x63391),f335(f16(f934(x63393,a922),x63392),x63394)),x63394) % 209.33/209.63 [6340]E(x63401,f195(f934(x63402,a922)))+E(f335(f335(f45(x63402,f934(x63403,a922)),x63401),f335(f16(f934(x63403,a922),x63402),x63404)),x63404) % 209.33/209.63 [6349]~E(x63494,f195(f934(x63492,a922)))+E(f335(f335(f262(x63491,x63492),x63493),f335(f16(f934(x63492,a922),x63491),x63494)),f195(f934(f933(x63491,x63492),a922))) % 209.33/209.63 [6350]~E(x63503,f195(f934(x63501,a922)))+E(f335(f335(f262(x63501,x63502),x63503),f335(f16(f934(x63502,a922),x63501),x63504)),f195(f934(f933(x63501,x63502),a922))) % 209.33/209.63 [6402]E(x64021,f2(a927))+E(f335(f335(f145(x64022),x64021),f335(f335(f158(x64022),x64023),x64024)),f335(f335(f145(x64022),f335(f335(f23(a927),x64021),f84(a927))),x64024)) % 209.33/209.63 [6423]E(x64231,f195(f934(x64232,a922)))+E(f335(f318(x64232,x64233,f335(f16(x64233,x64232),x64234)),x64231),f335(f335(f317(x64233),x64234),f195(f934(x64233,a922)))) % 209.33/209.63 [6426]E(f335(f319(x64261,x64262,f335(f16(x64262,x64261),x64263)),x64264),f195(f934(x64261,a922)))+P106(f335(f335(f337(x64262),x64263),x64264)) % 209.33/209.63 [6491]~E(x64913,f195(f934(x64911,a922)))+E(f335(f335(f44(x64911,f934(x64912,a922)),x64913),f335(f16(f934(x64912,a922),x64911),x64914)),f195(f934(x64912,a922))) % 209.33/209.63 [6492]~E(x64923,f195(f934(x64921,a922)))+E(f335(f335(f45(x64921,f934(x64922,a922)),x64923),f335(f16(f934(x64922,a922),x64921),x64924)),f250(f934(x64922,a922))) % 209.33/209.63 [6494]~P62(x64941)+E(f50(x64941,f335(f335(f87(x64941),x64942),x64943),f335(f335(f87(x64941),x64942),x64944)),f335(f335(f87(x64941),x64942),f50(x64941,x64943,x64944))) % 209.33/209.63 [6661]E(f335(f319(x66611,x66612,f335(f16(x66612,x66611),x66613)),x66614),f250(f934(x66611,a922)))+~P106(f335(f335(f337(x66612),x66613),x66614)) % 209.33/209.63 [6685]~P106(f335(f335(f337(x66851),x66852),x66854))+P106(f335(f335(f337(x66851),x66852),f335(f335(f317(x66851),x66853),x66854))) % 209.33/209.63 [6690]P106(f335(x66901,x66902))+~P106(f335(f167(x66903,x66901),f335(f335(f158(x66903),x66902),x66904))) % 209.33/209.63 [6699]~E(x66993,f335(f335(f23(a927),f335(f196(f928(x66991)),x66992)),f84(a927)))+E(f121(x66991,f335(f335(f166(x66991,x66992),x66993),x66994)),f121(x66991,x66992)) % 209.33/209.63 [6717]~P108(x67171)+E(f335(f335(f108(f934(x67171,a922)),f335(f309(x67171),x67172)),f311(x67171,x67173,x67174)),f311(x67171,x67173,f335(f335(f241(x67171),x67172),x67174))) % 209.33/209.63 [6718]~P108(x67181)+E(f335(f335(f108(f934(x67181,a922)),f335(f291(x67181),x67182)),f311(x67181,x67183,x67184)),f311(x67181,f335(f335(f242(x67181),x67182),x67183),x67184)) % 209.33/209.63 [6734]E(f335(f335(f108(f934(x67341,a922)),x67342),f335(f335(f317(x67341),x67343),x67344)),f335(f335(f108(f934(x67341,a922)),x67342),x67344))+P106(f335(f335(f337(x67341),x67343),x67342)) % 209.33/209.63 [6746]E(f177(x67461,x67462,f335(f335(f141(x67461),x67463),x67464)),f335(f335(f141(x67461),x67463),f177(x67461,x67462,x67464)))+P106(f335(f335(f337(x67461),x67462),f335(f179(x67461),x67463))) % 209.33/209.63 [6751]~P80(x67511)+E(f335(f335(f87(x67511),f335(f335(f252(x67511),x67512),x67513)),f335(f335(f252(x67511),x67512),x67514)),f335(f335(f252(x67511),x67512),f335(f335(f86(a927),x67513),x67514))) % 209.33/209.63 [6752]~P116(x67521)+E(f335(f335(f87(x67521),f335(f335(f252(x67521),x67522),x67523)),f335(f335(f252(x67521),x67522),x67524)),f335(f335(f252(x67521),x67522),f335(f335(f86(a927),x67523),x67524))) % 209.33/209.63 [6790]~P116(x67901)+E(f335(f335(f86(x67901),f335(f335(f87(x67901),x67902),x67903)),f335(f335(f87(x67901),x67902),x67904)),f335(f335(f87(x67901),x67902),f335(f335(f86(x67901),x67903),x67904))) % 209.33/209.63 [6791]~P100(x67911)+E(f335(f335(f117(x67911),f335(f335(f108(x67911),x67912),x67913)),f335(f335(f108(x67911),x67912),x67914)),f335(f335(f108(x67911),x67912),f335(f335(f117(x67911),x67913),x67914))) % 209.33/209.63 [6792]~P100(x67921)+E(f335(f335(f108(x67921),f335(f335(f117(x67921),x67922),x67923)),f335(f335(f117(x67921),x67922),x67924)),f335(f335(f117(x67921),x67922),f335(f335(f108(x67921),x67923),x67924))) % 209.33/209.63 [6793]~P108(x67931)+E(f335(f335(f242(x67931),f335(f335(f241(x67931),x67932),x67933)),f335(f335(f241(x67931),x67932),x67934)),f335(f335(f241(x67931),x67932),f335(f335(f242(x67931),x67933),x67934))) % 209.33/209.63 [6794]~P108(x67941)+E(f335(f335(f241(x67941),f335(f335(f242(x67941),x67942),x67943)),f335(f335(f242(x67941),x67942),x67944)),f335(f335(f242(x67941),x67942),f335(f335(f241(x67941),x67943),x67944))) % 209.33/209.63 [6825]~P62(x68251)+E(f50(x68251,f335(f335(f87(x68251),x68252),x68253),f335(f335(f87(x68251),x68254),x68253)),f335(f335(f87(x68251),f50(x68251,x68252,x68254)),x68253)) % 209.33/209.63 [6828]~E(f335(f196(f928(x68281)),x68283),f335(f196(f928(x68282)),x68284))+E(f335(f335(f161(f933(x68281,x68282),x68282),f264(x68281,x68282)),f335(f335(f188(x68281,x68282),x68283),x68284)),x68284) % 209.33/209.63 [6829]~E(f335(f196(f928(x68291)),x68293),f335(f196(f928(x68292)),x68294))+E(f335(f335(f161(f933(x68291,x68292),x68291),f259(x68291,x68292)),f335(f335(f188(x68291,x68292),x68293),x68294)),x68293) % 209.33/209.63 [6834]P106(f335(f167(x68341,x68342),x68343))+~P106(f335(f167(x68341,x68342),f335(f335(f158(x68341),x68344),x68343))) % 209.33/209.63 [6835]P106(f335(f167(x68351,x68352),x68353))+~P106(f335(f167(x68351,x68352),f335(f335(f141(x68351),x68354),x68353))) % 209.33/209.63 [6836]P106(f335(f167(x68361,x68362),x68363))+~P106(f335(f167(x68361,x68362),f335(f335(f141(x68361),x68363),x68364))) % 209.33/209.63 [6841]~P63(x68411)+E(f50(x68411,f335(f335(f23(x68411),x68412),f50(x68411,x68413,x68414)),x68414),f50(x68411,f335(f335(f23(x68411),x68412),x68413),x68414)) % 209.33/209.63 [6842]~P62(x68421)+E(f50(x68421,f335(f335(f87(x68421),x68422),f50(x68421,x68423,x68424)),x68424),f50(x68421,f335(f335(f87(x68421),x68422),x68423),x68424)) % 209.33/209.63 [6844]~P62(x68441)+E(f50(x68441,f335(f335(f86(x68441),x68442),f50(x68441,x68443,x68444)),x68444),f50(x68441,f335(f335(f86(x68441),x68442),x68443),x68444)) % 209.33/209.63 [6925]~P108(x69251)+E(f335(f335(f108(f934(x69251,a922)),f311(x69251,x69252,x69253)),f335(f309(x69251),x69254)),f311(x69251,x69252,f335(f335(f241(x69251),x69253),x69254))) % 209.33/209.63 [6926]~P108(x69261)+E(f335(f335(f108(f934(x69261,a922)),f311(x69261,x69262,x69263)),f335(f291(x69261),x69264)),f311(x69261,f335(f335(f242(x69261),x69262),x69264),x69263)) % 209.33/209.63 [6929]~E(f335(f196(f928(x69291)),x69293),f335(f196(f928(x69292)),x69294))+E(f335(f335(f188(x69291,x69292),f335(f175(x69291),x69293)),f335(f175(x69292),x69294)),f335(f175(f933(x69291,x69292)),f335(f335(f188(x69291,x69292),x69293),x69294))) % 209.33/209.63 [6940]E(x69401,f335(f335(f23(a927),f335(f196(f928(x69402)),x69403)),f84(a927)))+E(f121(x69402,f335(f335(f166(x69402,x69403),x69401),x69404)),f335(f335(f166(x69402,f121(x69402,x69403)),x69401),x69404)) % 209.33/209.63 [6954]~P106(f335(f144(x69542),x69544))+P106(f335(f144(f933(x69541,x69542)),f335(f335(f188(x69541,x69542),x69543),x69544))) % 209.33/209.63 [6955]~P106(f335(f144(x69551),x69553))+P106(f335(f144(f933(x69551,x69552)),f335(f335(f188(x69551,x69552),x69553),x69554))) % 209.33/209.63 [7214]E(f335(f335(f41(a927),x72141),x72142),x72143)+~P106(f335(f53(x72141,x72142),f335(f335(f260(a927,a927),x72143),x72144))) % 209.33/209.63 [7237]E(f50(a927,x72371,x72372),x72373)+~P106(f335(f53(x72371,x72372),f335(f335(f260(a927,a927),x72374),x72373))) % 209.33/209.63 [7240]P106(f335(f144(x72401),x72402))+~P106(f335(f144(x72403),f335(f335(f161(x72401,x72403),x72404),x72402))) % 209.33/209.63 [7323]E(f177(x73231,x73232,f335(f335(f141(x73231),x73233),x73234)),f335(f335(f141(x73231),f177(x73231,x73232,x73233)),x73234))+~P106(f335(f335(f337(x73231),x73232),f335(f179(x73231),x73233))) % 209.33/209.63 [7414]~P63(x74141)+E(f50(x74141,f335(f335(f23(x74141),f50(x74141,x74142,x74143)),x74144),x74143),f50(x74141,f335(f335(f23(x74141),x74142),x74144),x74143)) % 209.33/209.63 [7417]~P62(x74171)+E(f50(x74171,f335(f335(f87(x74171),f50(x74171,x74172,x74173)),x74174),x74173),f50(x74171,f335(f335(f87(x74171),x74172),x74174),x74173)) % 209.33/209.63 [7418]~P62(x74181)+E(f50(x74181,f335(f335(f86(x74181),f50(x74181,x74182,x74183)),x74184),x74183),f50(x74181,f335(f335(f86(x74181),x74182),x74184),x74183)) % 209.33/209.63 [7614]~E(x76141,f335(f335(f158(x76142),x76143),x76144))+~P106(f335(f335(f243(a927),f335(f196(f928(x76142)),x76141)),f335(f196(f928(x76142)),x76144))) % 209.33/209.63 [7813]P25(x78131,x78132,x78133,f335(f179(x78131),x78134))+~P106(f335(f144(x78132),f335(f335(f161(x78131,x78132),x78133),x78134))) % 209.33/209.63 [7886]~P106(f335(f335(f243(f934(x78861,a922)),x78862),x78864))+P106(f335(f335(f243(f934(x78861,a922)),x78862),f335(f335(f317(x78861),x78863),x78864))) % 209.33/209.63 [7920]~P63(x79201)+E(f50(x79201,f335(f335(f23(x79201),f50(x79201,x79202,x79203)),f50(x79201,x79204,x79203)),x79203),f50(x79201,f335(f335(f23(x79201),x79202),x79204),x79203)) % 209.33/209.63 [7921]~P62(x79211)+E(f50(x79211,f335(f335(f87(x79211),f50(x79211,x79212,x79213)),f50(x79211,x79214,x79213)),x79213),f50(x79211,f335(f335(f87(x79211),x79212),x79214),x79213)) % 209.33/209.63 [7922]~P62(x79221)+E(f50(x79221,f335(f335(f86(x79221),f50(x79221,x79222,x79223)),f50(x79221,x79224,x79223)),x79223),f50(x79221,f335(f335(f86(x79221),x79222),x79224),x79223)) % 209.33/209.63 [8024]~E(f335(x80244,f700(x80244,x80243,x80241,x80242)),f195(f934(x80242,a922)))+E(f335(f335(f44(x80241,f934(x80242,a922)),x80243),x80244),f195(f934(x80242,a922))) % 209.33/209.63 [8025]~E(f335(x80254,f632(x80254,x80253,x80251,x80252)),f250(f934(x80252,a922)))+E(f335(f335(f45(x80251,f934(x80252,a922)),x80253),x80254),f250(f934(x80252,a922))) % 209.33/209.63 [8026]~E(f335(x80264,f695(x80264,x80263,x80262,x80261)),f195(f934(x80262,a922)))+E(f335(f335(f44(x80261,f934(x80262,a922)),x80263),x80264),f195(f934(x80262,a922))) % 209.33/209.63 [8027]~E(f335(x80274,f647(x80274,x80273,x80272,x80271)),f250(f934(x80272,a922)))+E(f335(f335(f45(x80271,f934(x80272,a922)),x80273),x80274),f250(f934(x80272,a922))) % 209.33/209.63 [8410]P106(f335(x84101,x84102))+~P106(f335(f335(f337(x84103),x84102),f335(f335(f108(f934(x84103,a922)),x84104),f335(f270(x84103),x84101)))) % 209.33/209.63 [8447]~P106(f335(f335(f243(f934(x84471,a922)),x84473),x84474))+P106(f335(f335(f243(f934(x84471,a922)),f335(f335(f317(x84471),x84472),x84473)),f335(f335(f317(x84471),x84472),x84474))) % 209.33/209.63 [8457]E(f335(x84571,f538(x84571,x84572,x84573)),x84573)+~P106(f335(f335(f337(x84574),x84573),f335(f318(x84572,x84574,x84571),f250(f934(x84572,a922))))) % 209.33/209.63 [8627]P106(f335(x86272,x86273))+E(f335(f335(f145(x86271),f335(f196(f928(x86271)),f184(x86271,x86272,f335(f335(f158(x86271),x86273),x86274)))),f335(f335(f158(x86271),x86273),x86274)),f335(f335(f158(x86271),x86273),x86274)) % 209.33/209.63 [8733]~P106(f335(f335(f244(a927),f335(x87334,x87332)),f335(x87334,x87333)))+P106(f335(f335(f337(f933(x87331,x87331)),f335(f335(f260(x87331,x87331),x87332),x87333)),f335(f335(f296(a927,x87331),a248),x87334))) % 209.33/209.63 [8829]~P106(f335(x88292,f763(x88294,x88292,x88293,x88291)))+E(f184(x88291,x88292,f335(f335(f141(x88291),x88293),x88294)),f335(f335(f141(x88291),x88293),f184(x88291,x88292,x88294))) % 209.33/209.63 [8906]P25(f928(x89061),f928(x89062),f335(f161(x89061,x89062),x89063),x89064)+~P25(x89061,x89062,x89063,f42(f934(x89061,a922),f335(f318(f928(x89061),f934(x89061,a922),f179(x89061)),x89064))) % 209.33/209.63 [8981]~P106(f335(x89812,x89813))+E(f335(f335(f145(x89811),f335(f196(f928(x89811)),f184(x89811,x89812,f335(f335(f158(x89811),x89813),x89814)))),f335(f335(f158(x89811),x89813),x89814)),f335(f335(f145(x89811),f335(f196(f928(x89811)),f184(x89811,x89812,x89814))),x89814)) % 209.33/209.63 [9022]~E(x90222,x90223)+E(f335(f143(x90221,f335(f335(f8(a922,a922,x90221),a330),f335(a332,x90222))),f335(f335(f158(x90221),x90223),x90224)),f335(f143(x90221,f335(f335(f8(a922,a922,x90221),a330),f335(a332,x90222))),x90224)) % 209.33/209.63 [9032]E(f335(f335(f44(x90321,f934(x90322,a922)),x90323),x90324),f195(f934(x90322,a922)))+P106(f335(f335(f337(x90321),f700(x90324,x90323,x90321,x90322)),x90323)) % 209.33/209.63 [9033]E(f335(f335(f45(x90331,f934(x90332,a922)),x90333),x90334),f250(f934(x90332,a922)))+P106(f335(f335(f337(x90331),f632(x90334,x90333,x90331,x90332)),x90333)) % 209.33/209.63 [9034]E(f335(f335(f44(x90341,f934(x90342,a922)),x90343),x90344),f195(f934(x90342,a922)))+P106(f335(f335(f337(x90341),f695(x90344,x90343,x90342,x90341)),x90343)) % 209.33/209.63 [9035]E(f335(f335(f45(x90351,f934(x90352,a922)),x90353),x90354),f250(f934(x90352,a922)))+P106(f335(f335(f337(x90351),f647(x90354,x90353,x90352,x90351)),x90353)) % 209.33/209.63 [9073]P106(f335(f335(f244(a927),f335(x90731,x90732)),f335(x90731,x90733)))+~P106(f335(f335(f337(f933(x90734,x90734)),f335(f335(f260(x90734,x90734),x90732),x90733)),f335(f335(f296(a927,x90734),a248),x90731))) % 209.33/209.63 [9099]E(f184(x90991,x90992,f335(f335(f141(x90991),x90993),x90994)),f335(f335(f141(x90991),x90993),f184(x90991,x90992,x90994)))+P106(f335(f335(f337(x90991),f763(x90994,x90992,x90993,x90991)),f335(f179(x90991),x90993))) % 209.33/209.63 [9154]~P26(x91541,x91542,x91543,f250(f934(x91541,a922)),f250(f934(x91542,a922)))+E(f335(f318(x91541,x91542,x91543),f335(f85(f934(x91541,a922)),x91544)),f335(f85(f934(x91542,a922)),f335(f318(x91541,x91542,x91543),x91544))) % 209.33/209.63 [9257]P106(f335(f335(f337(x92571),f595(x92572,x92573,x92574,x92571)),x92573))+~P106(f335(f335(f337(f934(x92571,a922)),x92574),f335(f335(f65(x92571),x92573),x92572))) % 209.33/209.63 [9260]E(x92601,x92602)+~P106(f335(f335(f337(f933(x92603,x92603)),f335(f335(f260(x92603,x92603),x92601),x92602)),f335(f335(f190(f933(x92603,x92603),a922),f2(a927)),x92604))) % 209.33/209.63 [9342]E(f335(f293(x93421,x93421,x93422),f335(f335(f317(x93421),f595(x93422,x93423,x93424,x93421)),f195(f934(x93421,a922)))),x93424)+~P106(f335(f335(f337(f934(x93421,a922)),x93424),f335(f335(f65(x93421),x93423),x93422))) % 209.33/209.63 [9347]~P106(f335(f335(f337(f933(x93471,x93471)),f335(f335(f260(x93471,x93471),x93473),x93472)),f315(x93471,x93474)))+P106(f335(f335(f337(f933(x93471,x93471)),f335(f335(f260(x93471,x93471),x93472),x93473)),f315(x93471,f335(f294(x93471,x93471),x93474)))) % 209.33/209.63 [9360]~P62(x93601)+E(f335(f335(f86(x93601),f335(f335(f86(x93601),f335(f335(f87(x93601),x93602),f335(f335(f41(x93601),x93603),x93602))),f50(x93601,x93603,x93602))),x93604),f335(f335(f86(x93601),x93603),x93604)) % 209.33/209.63 [9371]~P106(f335(f335(f337(x93711),x93713),x93714))+P106(f335(f335(f337(f934(x93711,a922)),f335(f293(x93711,x93711,x93712),f335(f335(f317(x93711),x93713),f195(f934(x93711,a922))))),f335(f335(f65(x93711),x93714),x93712))) % 209.33/209.63 [9383]P106(f335(f335(f337(f933(x93831,x93831)),f335(f335(f260(x93831,x93831),x93832),x93833)),f315(x93831,x93834)))+~P106(f335(f335(f337(f933(x93831,x93831)),f335(f335(f260(x93831,x93831),x93833),x93832)),f315(x93831,f335(f294(x93831,x93831),x93834)))) % 209.33/209.63 [9466]E(f335(f335(f166(x94661,f335(f175(x94661),x94662)),f335(f335(f23(a927),f335(f335(f23(a927),f335(f196(f928(x94661)),x94662)),x94663)),f84(a927))),x94664),f335(f175(x94661),f335(f335(f166(x94661,x94662),x94663),x94664)))+~P106(f335(f335(f244(a927),x94663),f335(f196(f928(x94661)),x94662))) % 209.33/209.63 [9469]~P106(f335(x94692,f758(x94694,x94692,x94693,x94691)))+E(f335(f335(f145(x94691),f335(f196(f928(x94691)),f184(x94691,x94692,f335(f335(f141(x94691),x94693),x94694)))),f335(f335(f141(x94691),x94693),x94694)),f335(f335(f145(x94691),f335(f196(f928(x94691)),f184(x94691,x94692,x94694))),x94694)) % 209.33/209.63 [9513]~P25(x95132,x95131,x95133,f250(f934(x95132,a922)))+P106(f335(f335(f243(f934(x95131,a922)),f335(f318(x95132,x95131,x95133),f335(f85(f934(x95132,a922)),x95134))),f335(f85(f934(x95131,a922)),f335(f318(x95132,x95131,x95133),x95134)))) % 209.33/209.63 [9525]~P5(x95251)+E(f335(f149(x95251,x95252,f335(f7(x95252,x95251,x95251),f335(f335(f8(x95251,f934(x95251,x95251),x95252),f117(x95251)),x95253)),f195(x95251)),x95254),f335(f335(f44(x95252,x95251),f335(f179(x95252),x95254)),x95253)) % 209.33/209.63 [9526]~P5(x95261)+E(f335(f149(x95261,x95262,f335(f7(x95262,x95261,x95261),f335(f335(f8(x95261,f934(x95261,x95261),x95262),f108(x95261)),x95263)),f250(x95261)),x95264),f335(f335(f45(x95262,x95261),f335(f179(x95262),x95264)),x95263)) % 209.33/209.63 [9536]E(f335(f335(f145(x95361),f335(f196(f928(x95361)),f184(x95361,x95362,f335(f335(f141(x95361),x95363),x95364)))),f335(f335(f141(x95361),x95363),x95364)),f335(f335(f145(x95361),f335(f196(f928(x95361)),f184(x95361,x95362,x95364))),x95364))+P106(f335(f335(f337(x95361),f758(x95364,x95362,x95363,x95361)),f335(f179(x95361),x95363))) % 209.33/209.63 [9606]~P106(f335(f335(f337(f933(f928(x96064),f928(x96064))),f335(f335(f260(f928(x96064),f928(x96064)),x96063),x96062)),f164(x96064,x96061)))+P106(f335(f335(f244(a927),f692(x96061,x96062,x96063,x96064)),f335(f196(f928(x96064)),x96063))) % 209.33/209.63 [9607]~P62(x96071)+E(f335(f335(f86(x96071),f335(f335(f86(x96071),f335(f335(f87(x96071),f335(f335(f41(x96071),x96072),x96073)),x96073)),f50(x96071,x96072,x96073))),x96074),f335(f335(f86(x96071),x96072),x96074)) % 209.33/209.63 [9634]~P106(f335(f335(f337(f933(f928(x96341),f928(x96341))),f335(f335(f260(f928(x96341),f928(x96341)),x96342),x96343)),f335(f294(f928(x96341),f928(x96341)),f164(x96341,x96344))))+P106(f335(f335(f337(f933(f928(x96341),f928(x96341))),f335(f335(f260(f928(x96341),f928(x96341)),x96342),x96343)),f164(x96341,f335(f294(x96341,x96341),x96344)))) % 209.33/209.63 [9635]P106(f335(f335(f337(f933(f928(x96351),f928(x96351))),f335(f335(f260(f928(x96351),f928(x96351)),x96352),x96353)),f335(f294(f928(x96351),f928(x96351)),f164(x96351,x96354))))+~P106(f335(f335(f337(f933(f928(x96351),f928(x96351))),f335(f335(f260(f928(x96351),f928(x96351)),x96352),x96353)),f164(x96351,f335(f294(x96351,x96351),x96354)))) % 209.33/209.63 [9674]~P106(f335(f335(f337(x96741),x96743),f335(f272(x96741,x96742),x96744)))+P106(f335(f335(f337(f933(x96741,x96742)),f335(f335(f260(x96741,x96742),x96743),f900(x96744,x96742,x96743,x96741))),x96744)) % 209.33/209.63 [9675]~P106(f335(f335(f337(x96751),x96753),f335(f272(x96751,x96752),x96754)))+P106(f335(f335(f337(f933(x96751,x96752)),f335(f335(f260(x96751,x96752),x96753),f901(x96754,x96752,x96753,x96751))),x96754)) % 209.33/209.63 [9831]~P106(f335(f335(f337(f933(x98311,x98311)),f335(f335(f260(x98311,x98311),x98312),x98314)),f335(f335(f297(x98311,x98311,x98311),x98313),f315(x98311,x98313))))+P106(f335(f335(f337(f933(x98311,x98311)),f335(f335(f260(x98311,x98311),x98312),f635(x98313,x98314,x98312,x98311))),x98313)) % 209.33/209.63 [9991]P11(x99911,x99912,x99913,x99914)+P106(f335(f335(f337(f933(x99911,x99911)),f335(f335(f260(x99911,x99911),f909(x99912,x99914,x99913,x99911)),f908(x99912,x99914,x99913,x99911))),x99913)) % 209.33/209.63 [9998]~P106(f335(f335(f337(f933(x99982,x99981)),x99984),f335(f294(x99981,x99982),x99983)))+P106(f335(f335(f337(f933(x99981,x99982)),f335(f335(f260(x99981,x99982),f665(x99983,x99984,x99981,x99982)),f664(x99983,x99984,x99981,x99982))),x99983)) % 209.33/209.63 [10022]~P106(f335(f335(f337(f933(f928(x100221),f928(x100221))),f335(f335(f260(f928(x100221),f928(x100221)),x100224),x100223)),f164(x100221,x100222)))+P106(f335(f335(f337(f933(x100221,x100221)),f335(f335(f260(x100221,x100221),f708(x100222,x100223,x100224,x100221)),f709(x100222,x100223,x100224,x100221))),x100222)) % 209.33/209.63 [10114]~P106(f335(f335(f337(f933(f928(x101141),f928(x101141))),f335(f335(f260(f928(x101141),f928(x101141)),x101142),x101144)),f164(x101141,x101143)))+P106(f335(f335(f337(f933(x101141,x101141)),f335(f335(f260(x101141,x101141),f335(f335(f171(x101141),x101142),f692(x101143,x101144,x101142,x101141))),f693(x101143,x101144,x101142,x101141))),x101143)) % 209.33/209.63 [10134]~P106(f335(f66(x101342),x101344))+E(f335(f335(f335(f70(f934(x101341,a922),x101342,f117(f934(x101341,a922))),f335(f335(f7(x101342,f934(x101341,a922),f934(x101341,a922)),f335(f335(f8(x101341,f934(f934(x101341,a922),f934(x101341,a922)),x101342),f317(x101341)),x101343)),f195(f934(x101341,a922)))),f195(f934(x101341,a922))),x101344),f335(f318(x101342,x101341,x101343),x101344)) % 209.33/209.63 [10247]~P25(x102471,x102472,x102473,f250(f934(x102471,a922)))+P106(f335(f335(f243(f934(x102471,a922)),f335(f319(x102471,x102472,x102473),f335(f335(f317(x102472),x102474),f195(f934(x102472,a922))))),f335(f335(f317(x102471),f91(x102471,f335(f335(f7(x102471,x102472,a922),f335(f335(f8(x102472,f934(x102472,a922),x102471),a332),x102473)),x102474))),f195(f934(x102471,a922))))) % 209.33/209.63 [5868]~E(f335(f335(f141(x58681),x58682),x58684),x58683)+E(f335(f335(f182(x58681),f335(f196(f928(x58681)),x58682)),x58683),x58682) % 209.33/209.63 [5869]~E(f335(f335(f141(x58692),x58693),x58691),x58694)+E(x58691,f335(f335(f145(x58692),f335(f196(f928(x58692)),x58693)),x58694)) % 209.33/209.63 [5880]~E(x58804,f2(a927))+E(f335(f335(f171(x58801),f335(f335(f158(x58801),x58802),x58803)),x58804),x58802) % 209.33/209.63 [6415]~P116(x64151)+E(f335(f335(f252(x64151),f335(f335(f252(x64151),x64152),x64153)),x64154),f335(f335(f252(x64151),x64152),f335(f335(f87(a927),x64153),x64154))) % 209.33/209.63 [6416]~P80(x64161)+E(f335(f335(f252(x64161),f335(f335(f252(x64161),x64162),x64163)),x64164),f335(f335(f252(x64161),x64162),f335(f335(f87(a927),x64163),x64164))) % 209.33/209.63 [6424]E(x64241,f2(a927))+E(f335(f335(f171(x64242),f335(f335(f158(x64242),x64243),x64244)),x64241),f335(f335(f171(x64242),x64244),f335(f335(f23(a927),x64241),f84(a927)))) % 209.33/209.63 [6450]~P119(x64501)+E(f335(f335(f299(x64501),f335(f335(f87(x64501),x64502),x64503)),x64504),f335(f335(f87(x64501),x64502),f335(f335(f299(x64501),x64503),x64504))) % 209.33/209.63 [6452]~P69(x64521)+E(f335(f335(f87(x64521),f335(f335(f87(x64521),x64522),x64523)),x64524),f335(f335(f87(x64521),x64522),f335(f335(f87(x64521),x64523),x64524))) % 209.33/209.63 [6453]~P116(x64531)+E(f335(f335(f87(x64531),f335(f335(f87(x64531),x64532),x64533)),x64534),f335(f335(f87(x64531),x64532),f335(f335(f87(x64531),x64533),x64534))) % 209.33/209.63 [6455]~P96(x64551)+E(f335(f335(f108(x64551),f335(f335(f108(x64551),x64552),x64553)),x64554),f335(f335(f108(x64551),x64552),f335(f335(f108(x64551),x64553),x64554))) % 209.33/209.63 [6457]~P101(x64571)+E(f335(f335(f108(x64571),f335(f335(f108(x64571),x64572),x64573)),x64574),f335(f335(f108(x64571),x64572),f335(f335(f108(x64571),x64573),x64574))) % 209.33/209.63 [6458]~P96(x64581)+E(f335(f335(f117(x64581),f335(f335(f117(x64581),x64582),x64583)),x64584),f335(f335(f117(x64581),x64582),f335(f335(f117(x64581),x64583),x64584))) % 209.33/209.63 [6460]~P102(x64601)+E(f335(f335(f117(x64601),f335(f335(f117(x64601),x64602),x64603)),x64604),f335(f335(f117(x64601),x64602),f335(f335(f117(x64601),x64603),x64604))) % 209.33/209.63 [6461]~P116(x64611)+E(f335(f335(f86(x64611),f335(f335(f86(x64611),x64612),x64613)),x64614),f335(f335(f86(x64611),x64612),f335(f335(f86(x64611),x64613),x64614))) % 209.33/209.63 [6462]~P70(x64621)+E(f335(f335(f86(x64621),f335(f335(f86(x64621),x64622),x64623)),x64624),f335(f335(f86(x64621),x64622),f335(f335(f86(x64621),x64623),x64624))) % 209.33/209.63 [6464]~P108(x64641)+E(f335(f335(f241(x64641),f335(f335(f241(x64641),x64642),x64643)),x64644),f335(f335(f241(x64641),x64642),f335(f335(f241(x64641),x64643),x64644))) % 209.33/209.63 [6466]~P108(x64661)+E(f335(f335(f242(x64661),f335(f335(f242(x64661),x64662),x64663)),x64664),f335(f335(f242(x64661),x64662),f335(f335(f242(x64661),x64663),x64664))) % 209.33/209.63 [6475]~P62(x64751)+E(f50(x64751,f335(f335(f86(x64751),x64752),f335(f335(f87(x64751),x64753),x64754)),x64754),f50(x64751,x64752,x64754)) % 209.33/209.63 [6476]~P62(x64761)+E(f50(x64761,f335(f335(f86(x64761),x64762),f335(f335(f87(x64761),x64763),x64764)),x64763),f50(x64761,x64762,x64763)) % 209.33/209.63 [6610]E(f335(f335(f171(x66101),f335(f335(f182(x66101),x66102),x66103)),x66104),f335(f335(f171(x66101),x66103),x66104))+~P106(f335(f335(f244(a927),x66104),x66102)) % 209.33/209.63 [6786]~E(x67862,x67864)+P106(f335(f335(f179(x67861),f335(f335(f158(x67861),x67862),x67863)),x67864)) % 209.33/209.63 [6788]~P116(x67881)+E(f335(f335(f87(x67881),f335(f335(f87(x67881),x67882),x67883)),x67884),f335(f335(f87(x67881),f335(f335(f87(x67881),x67882),x67884)),x67883)) % 209.33/209.63 [6789]~P116(x67891)+E(f335(f335(f86(x67891),f335(f335(f86(x67891),x67892),x67893)),x67894),f335(f335(f86(x67891),f335(f335(f86(x67891),x67892),x67894)),x67893)) % 209.33/209.63 [6847]~P146(x68472)+E(f335(f335(f6(x68471,x68472),f335(f16(x68472,x68471),x68473)),x68474),f335(f335(f87(x68472),f335(f107(x68472),f335(f40(x68471),x68474))),x68473)) % 209.33/209.63 [7016]E(f335(f335(f108(f934(x70161,a922)),f335(f335(f317(x70161),x70162),x70163)),x70164),f335(f335(f108(f934(x70161,a922)),x70163),x70164))+P106(f335(f335(f337(x70161),x70162),x70164)) % 209.33/209.63 [7083]~P78(x70831)+E(f335(f335(f241(x70831),f335(f335(f23(x70831),x70832),x70833)),f335(f335(f23(x70831),x70834),x70833)),f335(f335(f23(x70831),f335(f335(f241(x70831),x70832),x70834)),x70833)) % 209.33/209.63 [7084]~P78(x70841)+E(f335(f335(f242(x70841),f335(f335(f23(x70841),x70842),x70843)),f335(f335(f23(x70841),x70844),x70843)),f335(f335(f23(x70841),f335(f335(f242(x70841),x70842),x70844)),x70843)) % 209.33/209.63 [7086]~P117(x70861)+E(f335(f335(f86(x70861),f335(f335(f87(x70861),x70862),x70863)),f335(f335(f87(x70861),x70864),x70863)),f335(f335(f87(x70861),f335(f335(f86(x70861),x70862),x70864)),x70863)) % 209.33/209.63 [7087]~P100(x70871)+E(f335(f335(f117(x70871),f335(f335(f108(x70871),x70872),x70873)),f335(f335(f108(x70871),x70874),x70873)),f335(f335(f108(x70871),f335(f335(f117(x70871),x70872),x70874)),x70873)) % 209.33/209.63 [7088]~P100(x70881)+E(f335(f335(f108(x70881),f335(f335(f117(x70881),x70882),x70883)),f335(f335(f117(x70881),x70884),x70883)),f335(f335(f117(x70881),f335(f335(f108(x70881),x70882),x70884)),x70883)) % 209.33/209.63 [7089]~P83(x70891)+E(f335(f335(f241(x70891),f335(f335(f86(x70891),x70892),x70893)),f335(f335(f86(x70891),x70894),x70893)),f335(f335(f86(x70891),f335(f335(f241(x70891),x70892),x70894)),x70893)) % 209.33/209.63 [7090]~P83(x70901)+E(f335(f335(f242(x70901),f335(f335(f86(x70901),x70902),x70903)),f335(f335(f86(x70901),x70904),x70903)),f335(f335(f86(x70901),f335(f335(f242(x70901),x70902),x70904)),x70903)) % 209.33/209.63 [7091]~P108(x70911)+E(f335(f335(f242(x70911),f335(f335(f241(x70911),x70912),x70913)),f335(f335(f241(x70911),x70914),x70913)),f335(f335(f241(x70911),f335(f335(f242(x70911),x70912),x70914)),x70913)) % 209.33/209.63 [7092]~P108(x70921)+E(f335(f335(f241(x70921),f335(f335(f242(x70921),x70922),x70923)),f335(f335(f242(x70921),x70924),x70923)),f335(f335(f242(x70921),f335(f335(f241(x70921),x70922),x70924)),x70923)) % 209.33/209.63 [7093]~P71(x70931)+E(f335(f335(f87(x70931),f335(f335(f252(x70931),x70932),x70933)),f335(f335(f252(x70931),x70934),x70933)),f335(f335(f252(x70931),f335(f335(f87(x70931),x70932),x70934)),x70933)) % 209.33/209.63 [7094]~P116(x70941)+E(f335(f335(f87(x70941),f335(f335(f252(x70941),x70942),x70943)),f335(f335(f252(x70941),x70944),x70943)),f335(f335(f252(x70941),f335(f335(f87(x70941),x70942),x70944)),x70943)) % 209.33/209.63 [7095]~P65(x70951)+E(f335(f335(f299(x70951),f335(f335(f252(x70951),x70952),x70953)),f335(f335(f252(x70951),x70954),x70953)),f335(f335(f252(x70951),f335(f335(f299(x70951),x70952),x70954)),x70953)) % 209.33/209.63 [7096]~P119(x70961)+E(f335(f335(f23(x70961),f335(f335(f299(x70961),x70962),x70963)),f335(f335(f299(x70961),x70964),x70963)),f335(f335(f299(x70961),f335(f335(f23(x70961),x70962),x70964)),x70963)) % 209.33/209.63 [7097]~P119(x70971)+E(f335(f335(f86(x70971),f335(f335(f299(x70971),x70972),x70973)),f335(f335(f299(x70971),x70974),x70973)),f335(f335(f299(x70971),f335(f335(f86(x70971),x70972),x70974)),x70973)) % 209.33/209.63 [7098]~P116(x70981)+E(f335(f335(f86(x70981),f335(f335(f87(x70981),x70982),x70983)),f335(f335(f87(x70981),x70984),x70983)),f335(f335(f87(x70981),f335(f335(f86(x70981),x70982),x70984)),x70983)) % 209.33/209.63 [7129]E(f335(f335(f166(x71291,x71292),x71293),x71294),x71292)+~P106(f335(f335(f243(a927),f335(f196(f928(x71291)),x71292)),x71293)) % 209.33/209.63 [7154]~P106(f335(x71543,x71544))+P106(f335(f335(f335(f117(f934(x71541,a922)),x71542),x71543),x71544)) % 209.33/209.63 [7156]~P106(f335(x71562,x71564))+P106(f335(f335(f335(f117(f934(x71561,a922)),x71562),x71563),x71564)) % 209.33/209.63 [7174]E(f335(f335(f171(x71741),f335(f335(f141(x71741),x71742),x71743)),x71744),f335(f335(f171(x71741),x71742),x71744))+~P106(f335(f335(f244(a927),x71744),f335(f196(f928(x71741)),x71742))) % 209.33/209.63 [7185]E(f335(f335(f23(f934(x71851,a922)),f335(f335(f317(x71851),x71852),x71853)),x71854),f335(f335(f23(f934(x71851,a922)),x71853),x71854))+~P106(f335(f335(f337(x71851),x71852),x71854)) % 209.33/209.63 [7227]~E(f146(a927,f335(f310(a927,x72271),x72272)),f335(f335(f158(a927),x72274),x72273))+E(f146(a927,f335(f310(a927,f335(f335(f86(a927),x72271),f84(a927))),x72272)),x72273) % 209.33/209.63 [7248]~P106(f335(f335(f179(x72481),x72483),x72484))+P106(f335(f335(f179(x72481),f335(f335(f158(x72481),x72482),x72483)),x72484)) % 209.33/209.63 [7298]E(x72981,f2(a927))+E(f335(f335(f158(x72982),x72983),f335(f335(f182(x72982),f335(f335(f23(a927),x72981),f84(a927))),x72984)),f335(f335(f182(x72982),x72981),f335(f335(f158(x72982),x72983),x72984))) % 209.33/209.63 [7398]E(f335(f335(f171(x73981),x73982),f335(f335(f23(a927),x73983),f335(f196(f928(x73981)),x73984))),f335(f335(f171(x73981),f335(f335(f141(x73981),x73984),x73982)),x73983))+P106(f335(f335(f244(a927),x73983),f335(f196(f928(x73981)),x73984))) % 209.33/209.63 [7427]E(f335(f335(f108(f934(x74271,a922)),x74272),f335(f335(f317(x74271),x74273),x74274)),f335(f335(f317(x74271),x74273),f335(f335(f108(f934(x74271,a922)),x74272),x74274)))+~P106(f335(f335(f337(x74271),x74273),x74272)) % 209.33/209.63 [7465]E(f335(f335(f171(x74651),f335(f335(f166(x74651,x74652),x74653),x74654)),x74653),x74654)+~P106(f335(f335(f244(a927),x74653),f335(f196(f928(x74651)),x74652))) % 209.33/209.63 [7487]E(x74871,f195(f934(x74872,a922)))+E(f335(f318(f933(x74873,x74872),x74873,f259(x74873,x74872)),f335(f335(f262(x74873,x74872),x74874),f335(f16(f934(x74872,a922),x74873),x74871))),x74874) % 209.33/209.63 [7488]E(x74881,f195(f934(x74882,a922)))+E(f335(f318(f933(x74882,x74883),x74883,f264(x74882,x74883)),f335(f335(f262(x74882,x74883),x74881),f335(f16(f934(x74883,a922),x74882),x74884))),x74884) % 209.33/209.63 [7565]E(f335(f335(f23(f934(x75651,a922)),f335(f335(f317(x75651),x75652),x75653)),x75654),f335(f335(f317(x75651),x75652),f335(f335(f23(f934(x75651,a922)),x75653),x75654)))+P106(f335(f335(f337(x75651),x75652),x75654)) % 209.33/209.63 [7600]~E(x76004,f195(f934(x76002,a922)))+E(f335(f318(f933(x76001,x76002),x76001,f259(x76001,x76002)),f335(f335(f262(x76001,x76002),x76003),f335(f16(f934(x76002,a922),x76001),x76004))),f195(f934(x76001,a922))) % 209.33/209.63 [7601]~E(x76013,f195(f934(x76011,a922)))+E(f335(f318(f933(x76011,x76012),x76012,f264(x76011,x76012)),f335(f335(f262(x76011,x76012),x76013),f335(f16(f934(x76012,a922),x76011),x76014))),f195(f934(x76012,a922))) % 209.33/209.63 [7652]~P106(f335(f335(f337(x76521),x76522),x76524))+P106(f335(f335(f337(x76521),x76522),f335(f335(f117(f934(x76521,a922)),x76523),x76524))) % 209.33/209.63 [7655]~P106(f335(f335(f337(x76551),x76552),x76553))+P106(f335(f335(f337(x76551),x76552),f335(f335(f117(f934(x76551,a922)),x76553),x76554))) % 209.33/209.63 [7673]E(f335(f335(f108(f934(x76731,a922)),f335(f335(f317(x76731),x76732),x76733)),x76734),f335(f335(f317(x76731),x76732),f335(f335(f108(f934(x76731,a922)),x76733),x76734)))+~P106(f335(f335(f337(x76731),x76732),x76734)) % 209.33/209.63 [7942]P106(f335(x79421,x79422))+~P106(f335(f335(f335(f108(f934(x79423,a922)),x79424),x79421),x79422)) % 209.33/209.63 [7943]P106(f335(x79431,x79432))+~P106(f335(f335(f335(f108(f934(x79433,a922)),x79431),x79434),x79432)) % 209.33/209.63 [7944]E(f335(f335(f6(x79441,a927),x79442),f335(f335(f23(f934(x79441,a922)),x79443),f335(f335(f317(x79441),x79444),f195(f934(x79441,a922))))),f335(f335(f6(x79441,a927),x79442),x79443))+P106(f335(f335(f337(x79441),x79444),x79443)) % 209.33/209.63 [7949]~P75(x79491)+E(f335(f172(x79491),f335(f335(f161(a927,x79491),x79492),f146(a927,f335(f310(a927,x79493),x79494)))),f335(f335(f6(a927,x79491),x79492),f335(f179(a927),f146(a927,f335(f310(a927,x79493),x79494))))) % 209.33/209.63 [7950]~P75(x79501)+E(f335(f335(f6(a927,x79501),x79502),f335(f179(a927),f146(a927,f335(f310(a927,x79503),x79504)))),f335(f172(x79501),f335(f335(f161(a927,x79501),x79502),f146(a927,f335(f310(a927,x79503),x79504))))) % 209.33/209.63 [8060]~E(x80603,x80604)+P106(f335(f67(x80601,x80602,f335(f335(f317(x80601),x80603),f195(f934(x80601,a922)))),x80604)) % 209.33/209.63 [8156]P106(f335(f335(f337(x81561),x81562),f335(f179(x81561),x81563)))+~P106(f335(f335(f337(x81561),x81562),f335(f179(x81561),f335(f335(f182(x81561),x81564),x81563)))) % 209.33/209.63 [8157]P106(f335(f335(f337(x81571),x81572),f335(f179(x81571),x81573)))+~P106(f335(f335(f337(x81571),x81572),f335(f179(x81571),f335(f335(f145(x81571),x81574),x81573)))) % 209.33/209.63 [8228]P106(f335(f335(f337(x82281),x82282),x82283))+~P106(f335(f335(f337(x82281),x82282),f335(f335(f23(f934(x82281,a922)),x82283),x82284))) % 209.33/209.63 [8230]P106(f335(f335(f337(x82301),x82302),x82303))+~P106(f335(f335(f337(x82301),x82302),f335(f335(f108(f934(x82301,a922)),x82304),x82303))) % 209.33/209.63 [8233]P106(f335(f335(f337(x82331),x82332),x82333))+~P106(f335(f335(f337(x82331),x82332),f335(f335(f108(f934(x82331,a922)),x82333),x82334))) % 209.33/209.63 [8248]E(f335(f335(f141(x82481),f335(f335(f182(x82481),x82482),x82483)),f335(f335(f158(x82481),x82484),f335(f335(f145(x82481),f335(a119,x82482)),x82483))),f335(f335(f166(x82481,x82483),x82482),x82484))+~P106(f335(f335(f244(a927),x82482),f335(f196(f928(x82481)),x82483))) % 209.33/209.63 [8271]P106(f335(f335(f337(x82711),x82712),x82713))+~P106(f335(f335(f243(f934(x82711,a922)),f335(f335(f317(x82711),x82712),x82714)),x82713)) % 209.33/209.63 [8308]~P106(f335(f335(f337(x83081),x83082),x83083))+~P106(f335(f335(f337(x83081),x83082),f335(f335(f23(f934(x83081,a922)),x83084),x83083))) % 209.33/209.63 [8338]~P106(f335(f335(f244(a927),x83384),f335(f196(f928(x83381)),x83383)))+P106(f335(f335(f337(x83381),x83382),f335(f179(x83381),f335(f335(f166(x83381,x83383),x83384),x83382)))) % 209.33/209.63 [8389]E(f335(f335(f171(x83891),f335(f335(f145(x83891),x83892),x83893)),x83894),f335(f335(f171(x83891),x83893),f335(f335(f86(a927),x83892),x83894)))+~P106(f335(f335(f243(a927),f335(f335(f86(a927),x83892),x83894)),f335(f196(f928(x83891)),x83893))) % 209.33/209.63 [8398]~P146(x83982)+E(f335(f335(f6(x83981,x83982),f335(f335(f8(a927,x83982,x83981),f107(x83982)),x83983)),x83984),f335(f107(x83982),f335(f335(f6(x83981,a927),x83983),x83984))) % 209.33/209.63 [8399]~P140(x83992)+E(f335(f335(f6(x83991,x83992),f335(f335(f8(a1,x83992,x83991),f109(x83992)),x83993)),x83994),f335(f109(x83992),f335(f335(f6(x83991,a1),x83993),x83994))) % 209.33/209.63 [8449]~P68(x84492)+E(f335(f335(f9(x84491,x84492),f335(f335(f8(x84492,x84492,x84491),f81(x84492)),x84493)),x84494),f335(f81(x84492),f335(f335(f9(x84491,x84492),x84493),x84494))) % 209.33/209.63 [8450]~P4(x84502)+E(f335(f335(f6(x84501,x84502),f335(f335(f8(x84502,x84502,x84501),f85(x84502)),x84503)),x84504),f335(f85(x84502),f335(f335(f6(x84501,x84502),x84503),x84504))) % 209.33/209.63 [8452]E(f335(f335(f6(x84521,a927),x84522),f335(f335(f23(f934(x84521,a922)),x84523),f335(f335(f317(x84521),x84524),f195(f934(x84521,a922))))),f335(f335(f23(a927),f335(f335(f6(x84521,a927),x84522),x84523)),f335(x84522,x84524)))+~P106(f335(f335(f337(x84521),x84524),x84523)) % 209.33/209.63 [8472]P106(f335(f335(f243(f934(x84721,a922)),x84722),x84723))+~P106(f335(f335(f243(f934(x84721,a922)),f335(f335(f317(x84721),x84724),x84722)),x84723)) % 209.33/209.63 [8596]~E(f335(f318(x85962,x85963,x85961),f250(f934(x85962,a922))),f250(f934(x85963,a922)))+E(f335(x85961,f335(f97(x85962,x85963,f250(f934(x85962,a922)),x85961),x85964)),x85964) % 209.33/209.63 [8679]P37(x86791,x86792)+~P37(x86791,f335(f335(f317(f933(x86791,x86791)),f335(f335(f260(x86791,x86791),x86793),x86794)),x86792)) % 209.33/209.63 [8680]P58(x86801,x86802)+~P58(x86801,f335(f335(f317(f933(x86801,x86801)),f335(f335(f260(x86801,x86801),x86803),x86804)),x86802)) % 209.33/209.63 [8685]~P108(x86851)+E(f335(f335(f155(x86851,x86851,f5(x86851)),x86852),f335(f335(f155(x86851,x86851,f5(x86851)),x86853),x86854)),f335(f335(f155(x86851,x86851,f5(x86851)),x86853),f335(f335(f155(x86851,x86851,f5(x86851)),x86852),x86854))) % 209.33/209.63 [8700]E(x87001,x87002)+~P106(f335(f67(x87003,x87004,f335(f335(f317(x87003),x87001),f195(f934(x87003,a922)))),x87002)) % 209.33/209.63 [8709]E(f335(f335(f141(x87091),f335(f335(f182(x87091),x87092),x87093)),f335(f335(f182(x87091),x87094),f335(f335(f145(x87091),x87092),x87093))),f335(f335(f182(x87091),f335(f335(f86(a927),x87092),x87094)),x87093))+~P106(f335(f335(f243(a927),f335(f335(f86(a927),x87092),x87094)),f335(f196(f928(x87091)),x87093))) % 209.33/209.63 [8749]P106(f335(f66(x87491),x87492))+~E(x87492,f335(f318(a927,x87491,x87493),f335(f270(a927),f335(f335(f7(a927,a927,a922),f244(a927)),x87494)))) % 209.33/209.63 [8769]~P89(x87691)+E(f335(f149(x87691,x87691,f86(x87691),f335(f335(f86(x87691),x87692),x87693)),x87694),f335(f335(f86(x87691),x87692),f335(f149(x87691,x87691,f86(x87691),x87693),x87694))) % 209.33/209.63 [8805]P106(f335(f335(f243(f934(x88051,a922)),f335(f272(x88051,x88052),x88053)),f335(f272(x88051,x88052),x88054)))+~P106(f335(f335(f243(f934(f933(x88051,x88052),a922)),x88053),x88054)) % 209.33/209.63 [8817]~P106(f335(f335(f243(a927),x88172),x88174))+P106(f335(f335(f243(f934(x88171,a922)),f335(f179(x88171),f335(f335(f182(x88171),x88172),x88173))),f335(f179(x88171),f335(f335(f182(x88171),x88174),x88173)))) % 209.33/209.63 [8818]~P106(f335(f335(f243(a927),x88184),x88182))+P106(f335(f335(f243(f934(x88181,a922)),f335(f179(x88181),f335(f335(f145(x88181),x88182),x88183))),f335(f179(x88181),f335(f335(f145(x88181),x88184),x88183)))) % 209.33/209.63 [8875]~P106(f335(f66(x88751),f335(f335(f23(f934(x88751,a922)),x88752),x88754)))+P106(f335(f66(x88751),f335(f335(f23(f934(x88751,a922)),x88752),f335(f335(f317(x88751),x88753),x88754)))) % 209.33/209.63 [8917]P106(f335(f335(f337(f933(x89171,x89171)),x89172),f315(x89171,x89173)))+~P106(f335(f335(f337(f933(x89171,x89171)),x89172),f335(f335(f190(f933(x89171,x89171),a922),x89174),x89173))) % 209.33/209.63 [9003]~P106(f335(f66(x90031),f335(f335(f23(f934(x90031,a922)),x90032),f335(f335(f317(x90031),x90034),x90033))))+P106(f335(f66(x90031),f335(f335(f23(f934(x90031,a922)),x90032),x90033))) % 209.33/209.63 [9218]~P96(x92181)+P106(f335(f335(f243(x92181),f335(f335(f117(x92181),x92182),f335(f335(f108(x92181),x92183),x92184))),f335(f335(f108(x92181),f335(f335(f117(x92181),x92182),x92183)),f335(f335(f117(x92181),x92182),x92184)))) % 209.33/209.63 [9219]~P108(x92191)+P106(f335(f335(f243(x92191),f335(f335(f242(x92191),x92192),f335(f335(f241(x92191),x92193),x92194))),f335(f335(f241(x92191),f335(f335(f242(x92191),x92192),x92193)),f335(f335(f242(x92191),x92192),x92194)))) % 209.33/209.63 [9367]E(x93671,x93672)+~P106(f335(f335(f337(f933(x93673,x93673)),f335(f335(f260(x93673,x93673),x93671),x93672)),f335(f179(f933(x93673,x93673)),f335(f335(f188(x93673,x93673),x93674),x93674)))) % 209.33/209.63 [9397]~P106(f335(f335(f337(f933(x93971,x93971)),f335(f335(f260(x93971,x93971),x93973),x93972)),f315(x93971,x93974)))+~P37(x93971,f335(f335(f317(f933(x93971,x93971)),f335(f335(f260(x93971,x93971),x93972),x93973)),x93974)) % 209.33/209.63 [9398]~P106(f335(f335(f337(f933(x93981,x93981)),f335(f335(f260(x93981,x93981),x93983),x93982)),f315(x93981,x93984)))+~P58(x93981,f335(f335(f317(f933(x93981,x93981)),f335(f335(f260(x93981,x93981),x93982),x93983)),x93984)) % 209.33/209.63 [9402]E(x94021,x94022)+E(f335(f143(x94023,f335(f335(f8(a922,a922,x94023),a330),f335(a332,x94021))),f335(f335(f158(x94023),x94022),x94024)),f335(f335(f158(x94023),x94022),f335(f143(x94023,f335(f335(f8(a922,a922,x94023),a330),f335(a332,x94021))),x94024))) % 209.33/209.63 [9430]~P26(x94302,x94301,x94303,f250(f934(x94302,a922)),f250(f934(x94301,a922)))+E(f335(f318(x94301,x94302,f97(x94302,x94301,f250(f934(x94302,a922)),x94303)),x94304),f335(f319(x94302,x94301,x94303),x94304)) % 209.33/209.63 [9445]~P96(x94451)+P106(f335(f335(f243(x94451),f335(f335(f117(x94451),f335(f335(f108(x94451),x94452),x94453)),f335(f335(f108(x94451),x94452),x94454))),f335(f335(f108(x94451),x94452),f335(f335(f117(x94451),x94453),x94454)))) % 209.33/209.63 [9446]~P108(x94461)+P106(f335(f335(f243(x94461),f335(f335(f242(x94461),f335(f335(f241(x94461),x94462),x94463)),f335(f335(f241(x94461),x94462),x94464))),f335(f335(f241(x94461),x94462),f335(f335(f242(x94461),x94463),x94464)))) % 209.33/209.63 [9507]~P26(x95072,x95071,x95074,f250(f934(x95072,a922)),f250(f934(x95071,a922)))+E(f335(f270(x95071),f335(f335(f8(x95072,a922,x95071),x95073),f97(x95072,x95071,f250(f934(x95072,a922)),x95074))),f335(f318(x95072,x95071,x95074),f335(f270(x95072),x95073))) % 209.33/209.63 [9521]~E(f335(f318(x95212,x95211,x95213),f250(f934(x95212,a922))),f250(f934(x95211,a922)))+P106(f335(f335(f243(f934(x95211,a922)),f335(f85(f934(x95211,a922)),f335(f318(x95212,x95211,x95213),x95214))),f335(f318(x95212,x95211,x95213),f335(f85(f934(x95212,a922)),x95214)))) % 209.33/209.63 [9844]P106(f335(f335(f337(f933(x98441,x98441)),f335(f335(f260(x98441,x98441),x98442),x98443)),f335(f294(x98441,x98441),f335(f335(f297(x98441,x98441,x98441),x98444),f315(x98441,x98444)))))+~P106(f335(f335(f337(f933(x98441,x98441)),f335(f335(f260(x98441,x98441),x98442),x98443)),f335(f335(f297(x98441,x98441,x98441),f335(f294(x98441,x98441),x98444)),f315(x98441,f335(f294(x98441,x98441),x98444))))) % 209.33/209.63 [9845]~P106(f335(f335(f337(f933(x98451,x98451)),f335(f335(f260(x98451,x98451),x98452),x98453)),f335(f294(x98451,x98451),f335(f335(f297(x98451,x98451,x98451),x98454),f315(x98451,x98454)))))+P106(f335(f335(f337(f933(x98451,x98451)),f335(f335(f260(x98451,x98451),x98452),x98453)),f335(f335(f297(x98451,x98451,x98451),f335(f294(x98451,x98451),x98454)),f315(x98451,f335(f294(x98451,x98451),x98454))))) % 209.33/209.63 [9866]~P106(f335(f335(f337(x98662),x98664),f335(f292(x98661,x98662),x98663)))+P106(f335(f335(f337(f933(x98661,x98662)),f335(f335(f260(x98661,x98662),f902(x98663,x98661,x98664,x98662)),x98664)),x98663)) % 209.33/209.63 [9867]~P106(f335(f335(f337(x98672),x98674),f335(f292(x98671,x98672),x98673)))+P106(f335(f335(f337(f933(x98671,x98672)),f335(f335(f260(x98671,x98672),f904(x98673,x98671,x98674,x98672)),x98674)),x98673)) % 209.33/209.63 [9893]~P106(f335(f335(f337(x98931),x98934),f335(f335(f108(f934(x98931,a922)),x98932),x98933)))+P106(f335(f335(f335(f108(f934(x98931,a922)),f335(f335(f7(x98931,f934(x98931,a922),a922),f337(x98931)),x98932)),f335(f335(f7(x98931,f934(x98931,a922),a922),f337(x98931)),x98933)),x98934)) % 209.33/209.63 [9894]~P106(f335(f335(f337(x98941),x98944),f335(f335(f117(f934(x98941,a922)),x98942),x98943)))+P106(f335(f335(f335(f117(f934(x98941,a922)),f335(f335(f7(x98941,f934(x98941,a922),a922),f337(x98941)),x98942)),f335(f335(f7(x98941,f934(x98941,a922),a922),f337(x98941)),x98943)),x98944)) % 209.33/209.63 [9975]~P106(f335(f335(f337(f933(x99751,x99751)),f335(f335(f260(x99751,x99751),x99754),x99753)),f335(f335(f297(x99751,x99751,x99751),x99752),f315(x99751,x99752))))+P106(f335(f335(f337(f933(x99751,x99751)),f335(f335(f260(x99751,x99751),f636(x99752,x99753,x99754,x99751)),x99753)),x99752)) % 209.33/209.63 [10010]P106(f335(f335(f337(x100101),x100102),f335(f335(f108(f934(x100101,a922)),x100103),x100104)))+~P106(f335(f335(f335(f108(f934(x100101,a922)),f335(f335(f7(x100101,f934(x100101,a922),a922),f337(x100101)),x100103)),f335(f335(f7(x100101,f934(x100101,a922),a922),f337(x100101)),x100104)),x100102)) % 209.33/209.63 [10011]P106(f335(f335(f337(x100111),x100112),f335(f335(f117(f934(x100111,a922)),x100113),x100114)))+~P106(f335(f335(f335(f117(f934(x100111,a922)),f335(f335(f7(x100111,f934(x100111,a922),a922),f337(x100111)),x100113)),f335(f335(f7(x100111,f934(x100111,a922),a922),f337(x100111)),x100114)),x100112)) % 209.33/209.63 [10299]P32(x102991,f335(f335(f7(x102991,f934(f933(x102991,x102991),a922),f934(x102991,a922)),f335(f335(f8(f934(x102991,f934(f934(f933(x102991,x102991),a922),a922)),f934(f934(f933(x102991,x102991),a922),f934(x102991,a922)),x102991),f7(x102991,f934(f933(x102991,x102991),a922),a922)),f335(f335(f8(f934(x102991,f933(x102991,x102991)),f934(x102991,f934(f934(f933(x102991,x102991),a922),a922)),x102991),f335(f8(f933(x102991,x102991),f934(f934(f933(x102991,x102991),a922),a922),x102991),f337(f933(x102991,x102991)))),f260(x102991,x102991)))),x102992),x102993,x102994)+~P106(f335(f335(f337(f933(f928(x102991),f928(x102991))),f335(f335(f260(f928(x102991),f928(x102991)),x102993),x102994)),f165(x102991,x102992))) % 209.33/209.63 [10303]P59(x103031,f335(f335(f7(x103031,f934(f933(x103031,x103031),a922),f934(x103031,a922)),f335(f335(f8(f934(x103031,f934(f934(f933(x103031,x103031),a922),a922)),f934(f934(f933(x103031,x103031),a922),f934(x103031,a922)),x103031),f7(x103031,f934(f933(x103031,x103031),a922),a922)),f335(f335(f8(f934(x103031,f933(x103031,x103031)),f934(x103031,f934(f934(f933(x103031,x103031),a922),a922)),x103031),f335(f8(f933(x103031,x103031),f934(f934(f933(x103031,x103031),a922),a922),x103031),f337(f933(x103031,x103031)))),f260(x103031,x103031)))),x103032),x103033,x103034)+~P106(f335(f335(f337(f933(f934(x103031,a922),f934(x103031,a922))),f335(f335(f260(f934(x103031,a922),f934(x103031,a922)),x103033),x103034)),f326(x103031,x103032))) % 209.33/209.63 [10338]E(x103381,x103382)+~E(f335(f335(f7(x103383,f934(f933(x103383,x103384),a922),f934(x103384,a922)),f335(f335(f8(f934(x103384,f934(f934(f933(x103383,x103384),a922),a922)),f934(f934(f933(x103383,x103384),a922),f934(x103384,a922)),x103383),f7(x103384,f934(f933(x103383,x103384),a922),a922)),f335(f335(f8(f934(x103384,f933(x103383,x103384)),f934(x103384,f934(f934(f933(x103383,x103384),a922),a922)),x103383),f335(f8(f933(x103383,x103384),f934(f934(f933(x103383,x103384),a922),a922),x103384),f337(f933(x103383,x103384)))),f260(x103383,x103384)))),x103381),f335(f335(f7(x103383,f934(f933(x103383,x103384),a922),f934(x103384,a922)),f335(f335(f8(f934(x103384,f934(f934(f933(x103383,x103384),a922),a922)),f934(f934(f933(x103383,x103384),a922),f934(x103384,a922)),x103383),f7(x103384,f934(f933(x103383,x103384),a922),a922)),f335(f335(f8(f934(x103384,f933(x103383,x103384)),f934(x103384,f934(f934(f933(x103383,x103384),a922),a922)),x103383),f335(f8(f933(x103383,x103384),f934(f934(f933(x103383,x103384),a922),a922),x103384),f337(f933(x103383,x103384)))),f260(x103383,x103384)))),x103382)) % 209.33/209.63 [10341]~P32(x103411,f335(f335(f7(x103411,f934(f933(x103411,x103411),a922),f934(x103411,a922)),f335(f335(f8(f934(x103411,f934(f934(f933(x103411,x103411),a922),a922)),f934(f934(f933(x103411,x103411),a922),f934(x103411,a922)),x103411),f7(x103411,f934(f933(x103411,x103411),a922),a922)),f335(f335(f8(f934(x103411,f933(x103411,x103411)),f934(x103411,f934(f934(f933(x103411,x103411),a922),a922)),x103411),f335(f8(f933(x103411,x103411),f934(f934(f933(x103411,x103411),a922),a922),x103411),f337(f933(x103411,x103411)))),f260(x103411,x103411)))),x103414),x103412,x103413)+P106(f335(f335(f337(f933(f928(x103411),f928(x103411))),f335(f335(f260(f928(x103411),f928(x103411)),x103412),x103413)),f165(x103411,x103414))) % 209.33/209.63 [10342]~P59(x103421,f335(f335(f7(x103421,f934(f933(x103421,x103421),a922),f934(x103421,a922)),f335(f335(f8(f934(x103421,f934(f934(f933(x103421,x103421),a922),a922)),f934(f934(f933(x103421,x103421),a922),f934(x103421,a922)),x103421),f7(x103421,f934(f933(x103421,x103421),a922),a922)),f335(f335(f8(f934(x103421,f933(x103421,x103421)),f934(x103421,f934(f934(f933(x103421,x103421),a922),a922)),x103421),f335(f8(f933(x103421,x103421),f934(f934(f933(x103421,x103421),a922),a922),x103421),f337(f933(x103421,x103421)))),f260(x103421,x103421)))),x103424),x103422,x103423)+P106(f335(f335(f337(f933(f934(x103421,a922),f934(x103421,a922))),f335(f335(f260(f934(x103421,a922),f934(x103421,a922)),x103422),x103423)),f326(x103421,x103424))) % 209.33/209.63 [7722]~P93(x77221)+E(f335(f335(f87(x77221),f335(f110(x77221),x77222)),f335(f335(f87(x77221),f335(f110(x77221),x77223)),x77224)),f335(f335(f87(x77221),f335(f110(x77221),f335(f335(f87(a1),x77222),x77223))),x77224)) % 209.33/209.63 [7723]~P93(x77231)+E(f335(f335(f86(x77231),f335(f110(x77231),x77232)),f335(f335(f23(x77231),f335(f110(x77231),x77233)),x77234)),f335(f335(f23(x77231),f335(f110(x77231),f335(f335(f86(a1),x77232),x77233))),x77234)) % 209.33/209.63 [7724]~P93(x77241)+E(f335(f335(f86(x77241),f335(f110(x77241),x77242)),f335(f335(f86(x77241),f335(f110(x77241),x77243)),x77244)),f335(f335(f86(x77241),f335(f110(x77241),f335(f335(f86(a1),x77242),x77243))),x77244)) % 209.33/209.63 [7763]~P146(x77631)+E(f335(f172(x77631),f335(f335(f161(x77632,x77631),f335(f16(x77631,x77632),x77633)),x77634)),f335(f335(f87(x77631),f335(f107(x77631),f335(f196(f928(x77632)),x77634))),x77633)) % 209.33/209.63 [7998]E(f335(f276(x79981,f335(f335(f158(f933(a106,x79981)),x79982),x79983)),x79984),f335(f264(a106,x79981),x79982))+~P106(f335(f335(f244(a106),x79984),f335(f259(a106,x79981),x79982))) % 209.33/209.63 [8038]~P93(x80381)+E(f335(f335(f86(x80381),f335(f110(x80381),x80382)),f335(f335(f23(x80381),x80383),f335(f110(x80381),x80384))),f335(f335(f86(x80381),f335(f110(x80381),f335(f335(f86(a1),x80382),f335(f85(a1),x80384)))),x80383)) % 209.33/209.63 [8169]E(f335(f276(x81691,x81692),f335(f335(f23(a106),x81693),f335(f259(a106,x81691),x81694))),f335(f276(x81691,f335(f335(f158(f933(a106,x81691)),x81694),x81692)),x81693))+P106(f335(f335(f244(a106),x81693),f335(f259(a106,x81691),x81694))) % 209.33/209.63 [8602]~P106(f335(f335(f337(x86021),x86022),f335(f179(x86021),f121(x86021,x86024))))+P106(f335(f335(f337(x86021),x86022),f335(f179(x86021),f121(x86021,f335(f335(f141(x86021),x86023),x86024))))) % 209.33/209.63 [8603]~P106(f335(f335(f337(x86031),x86032),f335(f179(x86031),f121(x86031,x86033))))+P106(f335(f335(f337(x86031),x86032),f335(f179(x86031),f121(x86031,f335(f335(f141(x86031),x86033),x86034))))) % 209.33/209.63 [8622]E(f335(f335(f117(f934(x86221,a922)),f335(f335(f108(f934(x86221,a922)),x86222),x86223)),x86224),f335(f335(f108(f934(x86221,a922)),x86222),f335(f335(f117(f934(x86221,a922)),x86223),x86224)))+~P106(f335(f335(f243(f934(x86221,a922)),x86224),x86222)) % 209.33/209.63 [8931]~E(f335(f335(f117(f934(x89311,a922)),f335(f335(f108(f934(x89311,a922)),x89313),x89314)),x89312),f335(f335(f108(f934(x89311,a922)),x89313),f335(f335(f117(f934(x89311,a922)),x89314),x89312)))+P106(f335(f335(f243(f934(x89311,a922)),x89312),x89313)) % 209.33/209.63 [9223]~P106(f335(f335(f243(f934(x92231,a922)),x92232),f335(f335(f117(f934(x92231,a922)),x92233),x92234)))+P106(f335(f335(f243(f934(x92231,a922)),f335(f335(f23(f934(x92231,a922)),x92232),x92233)),x92234)) % 209.33/209.63 [9339]~E(f335(f318(x93391,x93392,x93393),f250(f934(x93391,a922))),f250(f934(x93392,a922)))+E(f335(f318(x93391,x93392,x93393),f335(f318(x93392,x93391,f97(x93391,x93392,f250(f934(x93391,a922)),x93393)),x93394)),x93394) % 209.33/209.63 [9344]P106(f335(f335(f243(f934(x93441,a922)),x93442),f335(f335(f117(f934(x93441,a922)),x93443),x93444)))+~P106(f335(f335(f243(f934(x93441,a922)),f335(f335(f23(f934(x93441,a922)),x93442),x93443)),x93444)) % 209.33/209.63 [9426]~P85(x94261)+E(f335(f81(x94261),f335(f335(f6(x94262,x94261),f335(f335(f8(x94261,x94261,x94262),f81(x94261)),x94263)),x94264)),f335(f335(f6(x94262,x94261),f335(f335(f8(x94261,x94261,x94262),f81(x94261)),x94263)),x94264)) % 209.33/209.63 [9597]~P85(x95971)+P106(f335(f335(f243(x95971),f2(x95971)),f335(f335(f6(x95972,x95971),f335(f335(f8(x95971,x95971,x95972),f81(x95971)),x95973)),x95974))) % 209.33/209.63 [9601]~P4(x96011)+E(f335(f172(x96011),f335(f335(f161(x96012,x96011),f335(f78(x96011,x96011,x96012,f85(x96011)),x96013)),x96014)),f335(f85(x96011),f335(f172(x96011),f335(f335(f161(x96012,x96011),x96013),x96014)))) % 209.33/209.63 [9740]~P85(x97401)+P106(f335(f335(f243(x97401),f335(f81(x97401),f335(f335(f6(x97402,x97401),x97403),x97404))),f335(f335(f6(x97402,x97401),f335(f335(f8(x97401,x97401,x97402),f81(x97401)),x97403)),x97404))) % 209.33/209.63 [9769]~E(f335(f335(f86(a927),x97691),x97694),f335(f335(f86(a927),x97693),x97692))+P106(f335(f335(f337(f933(f933(a927,a927),f933(a927,a927))),f335(f335(f260(f933(a927,a927),f933(a927,a927)),f335(f335(f260(a927,a927),x97691),x97692)),f335(f335(f260(a927,a927),x97693),x97694))),a115)) % 209.33/209.63 [9770]~P106(f335(f335(f244(a927),x97701),x97703))+P106(f335(f335(f337(f933(f933(a927,a927),f933(a927,a927))),f335(f335(f260(f933(a927,a927),f933(a927,a927)),f335(f335(f260(a927,a927),x97701),x97702)),f335(f335(f260(a927,a927),x97703),x97704))),a38)) % 209.33/209.63 [9771]~P106(f335(f335(f244(a927),x97711),x97713))+P106(f335(f335(f337(f933(f933(a927,a927),f933(a927,a927))),f335(f335(f260(f933(a927,a927),f933(a927,a927)),f335(f335(f260(a927,a927),x97711),x97712)),f335(f335(f260(a927,a927),x97713),x97714))),a76)) % 209.33/209.63 [9918]E(f335(f335(f86(a927),x99181),x99182),f335(f335(f86(a927),x99183),x99184))+~P106(f335(f335(f337(f933(f933(a927,a927),f933(a927,a927))),f335(f335(f260(f933(a927,a927),f933(a927,a927)),f335(f335(f260(a927,a927),x99181),x99184)),f335(f335(f260(a927,a927),x99183),x99182))),a115)) % 209.33/209.63 [9950]E(f335(f335(f171(x99501),f335(f335(f145(x99501),f335(f196(f928(x99501)),f184(x99501,x99502,x99503))),x99503)),x99504),f335(f335(f171(x99501),x99503),f335(f335(f86(a927),x99504),f335(f196(f928(x99501)),f184(x99501,x99502,x99503)))))+~P106(f335(f335(f244(a927),x99504),f335(f196(f928(x99501)),f335(f335(f145(x99501),f335(f196(f928(x99501)),f184(x99501,x99502,x99503))),x99503)))) % 209.33/209.63 [9966]~P106(f335(f335(f337(x99662),x99664),f335(f335(f44(x99661,f934(x99662,a922)),f250(f934(x99661,a922))),x99663)))+P106(f335(f335(f335(f44(x99661,f934(x99662,a922)),f250(f934(x99661,a922))),f335(f335(f8(f934(x99662,a922),f934(x99662,a922),x99661),f335(f7(x99662,f934(x99662,a922),a922),f337(x99662))),x99663)),x99664)) % 209.33/209.63 [9967]~P106(f335(f335(f337(x99672),x99674),f335(f335(f45(x99671,f934(x99672,a922)),f250(f934(x99671,a922))),x99673)))+P106(f335(f335(f335(f45(x99671,f934(x99672,a922)),f250(f934(x99671,a922))),f335(f335(f8(f934(x99672,a922),f934(x99672,a922),x99671),f335(f7(x99672,f934(x99672,a922),a922),f337(x99672))),x99673)),x99674)) % 209.33/209.63 [10036]~P106(f335(f54(x100361,x100362),f335(f335(f260(a1,a1),x100364),x100363)))+P106(f335(f54(f335(f85(a1),x100361),x100362),f335(f335(f260(a1,a1),f335(f335(f335(f103(a1),f335(f335(a332,x100363),f2(a1))),f335(f85(a1),x100364)),f335(f335(f23(a1),f335(f85(a1),x100364)),f84(a1)))),f335(f335(f335(f103(a1),f335(f335(a332,x100363),f2(a1))),f2(a1)),f335(f335(f23(a1),x100362),x100363))))) % 209.33/209.63 [10049]P106(f335(f335(f337(x100491),x100492),f335(f335(f44(x100493,f934(x100491,a922)),f250(f934(x100493,a922))),x100494)))+~P106(f335(f335(f335(f44(x100493,f934(x100491,a922)),f250(f934(x100493,a922))),f335(f335(f8(f934(x100491,a922),f934(x100491,a922),x100493),f335(f7(x100491,f934(x100491,a922),a922),f337(x100491))),x100494)),x100492)) % 209.33/209.63 [10050]P106(f335(f335(f337(x100501),x100502),f335(f335(f45(x100503,f934(x100501,a922)),f250(f934(x100503,a922))),x100504)))+~P106(f335(f335(f335(f45(x100503,f934(x100501,a922)),f250(f934(x100503,a922))),f335(f335(f8(f934(x100501,a922),f934(x100501,a922),x100503),f335(f7(x100501,f934(x100501,a922),a922),f337(x100501))),x100504)),x100502)) % 209.33/209.63 [10062]E(f335(f335(f44(a927,f934(x100621,a922)),f250(f934(a927,a922))),x100622),f335(f335(f44(a927,f934(x100621,a922)),f250(f934(a927,a922))),x100623))+~E(f335(f335(f44(a927,f934(x100621,a922)),f335(f310(a927,f2(a927)),f458(x100622,x100624,x100623,x100621))),x100623),f335(f335(f44(a927,f934(x100621,a922)),f335(f310(a927,f2(a927)),f335(f335(f86(a927),f458(x100622,x100624,x100623,x100621)),x100624))),x100622)) % 209.33/209.63 [10421]~P106(f335(f335(f243(f934(f933(x104211,x104212),a922)),x104213),x104214))+P106(f335(f335(f243(f934(x104211,f934(x104212,a922))),f335(f335(f7(x104211,f934(f933(x104211,x104212),a922),f934(x104212,a922)),f335(f335(f8(f934(x104212,f934(f934(f933(x104211,x104212),a922),a922)),f934(f934(f933(x104211,x104212),a922),f934(x104212,a922)),x104211),f7(x104212,f934(f933(x104211,x104212),a922),a922)),f335(f335(f8(f934(x104212,f933(x104211,x104212)),f934(x104212,f934(f934(f933(x104211,x104212),a922),a922)),x104211),f335(f8(f933(x104211,x104212),f934(f934(f933(x104211,x104212),a922),a922),x104212),f337(f933(x104211,x104212)))),f260(x104211,x104212)))),x104213)),f335(f335(f7(x104211,f934(f933(x104211,x104212),a922),f934(x104212,a922)),f335(f335(f8(f934(x104212,f934(f934(f933(x104211,x104212),a922),a922)),f934(f934(f933(x104211,x104212),a922),f934(x104212,a922)),x104211),f7(x104212,f934(f933(x104211,x104212),a922),a922)),f335(f335(f8(f934(x104212,f933(x104211,x104212)),f934(x104212,f934(f934(f933(x104211,x104212),a922),a922)),x104211),f335(f8(f933(x104211,x104212),f934(f934(f933(x104211,x104212),a922),a922),x104212),f337(f933(x104211,x104212)))),f260(x104211,x104212)))),x104214))) % 209.33/209.63 [10437]P106(f335(f335(f243(f934(f933(x104371,x104372),a922)),x104373),x104374))+~P106(f335(f335(f243(f934(x104371,f934(x104372,a922))),f335(f335(f7(x104371,f934(f933(x104371,x104372),a922),f934(x104372,a922)),f335(f335(f8(f934(x104372,f934(f934(f933(x104371,x104372),a922),a922)),f934(f934(f933(x104371,x104372),a922),f934(x104372,a922)),x104371),f7(x104372,f934(f933(x104371,x104372),a922),a922)),f335(f335(f8(f934(x104372,f933(x104371,x104372)),f934(x104372,f934(f934(f933(x104371,x104372),a922),a922)),x104371),f335(f8(f933(x104371,x104372),f934(f934(f933(x104371,x104372),a922),a922),x104372),f337(f933(x104371,x104372)))),f260(x104371,x104372)))),x104373)),f335(f335(f7(x104371,f934(f933(x104371,x104372),a922),f934(x104372,a922)),f335(f335(f8(f934(x104372,f934(f934(f933(x104371,x104372),a922),a922)),f934(f934(f933(x104371,x104372),a922),f934(x104372,a922)),x104371),f7(x104372,f934(f933(x104371,x104372),a922),a922)),f335(f335(f8(f934(x104372,f933(x104371,x104372)),f934(x104372,f934(f934(f933(x104371,x104372),a922),a922)),x104371),f335(f8(f933(x104371,x104372),f934(f934(f933(x104371,x104372),a922),a922),x104372),f337(f933(x104371,x104372)))),f260(x104371,x104372)))),x104374))) % 209.33/209.63 [9472]~P106(f335(f335(f337(f933(x94721,x94721)),x94722),f315(x94721,x94724)))+P106(f335(f335(f337(f933(x94721,x94721)),x94722),f315(x94721,f335(f335(f117(f934(f933(x94721,x94721),a922)),x94723),x94724)))) % 209.33/209.63 [9473]~P106(f335(f335(f337(f933(x94731,x94731)),x94732),f315(x94731,x94733)))+P106(f335(f335(f337(f933(x94731,x94731)),x94732),f315(x94731,f335(f335(f117(f934(f933(x94731,x94731),a922)),x94733),x94734)))) % 209.33/209.63 [10150]~P106(f335(f335(f243(a927),f335(f335(f86(a927),x101501),x101504)),f335(f335(f86(a927),x101503),x101502)))+P106(f335(f335(f243(a1),f335(a95,f335(f293(f933(a927,a927),f933(a927,a927),a115),f335(f335(f317(f933(a927,a927)),f335(f335(f260(a927,a927),x101501),x101502)),f195(f934(f933(a927,a927),a922)))))),f335(a95,f335(f293(f933(a927,a927),f933(a927,a927),a115),f335(f335(f317(f933(a927,a927)),f335(f335(f260(a927,a927),x101503),x101504)),f195(f934(f933(a927,a927),a922))))))) % 209.33/209.63 [10151]~P106(f335(f335(f244(a927),f335(f335(f86(a927),x101511),x101514)),f335(f335(f86(a927),x101513),x101512)))+P106(f335(f335(f244(a1),f335(a95,f335(f293(f933(a927,a927),f933(a927,a927),a115),f335(f335(f317(f933(a927,a927)),f335(f335(f260(a927,a927),x101511),x101512)),f195(f934(f933(a927,a927),a922)))))),f335(a95,f335(f293(f933(a927,a927),f933(a927,a927),a115),f335(f335(f317(f933(a927,a927)),f335(f335(f260(a927,a927),x101513),x101514)),f195(f934(f933(a927,a927),a922))))))) % 209.33/209.63 [10240]P106(f335(f335(f243(a927),f335(f335(f86(a927),x102401),x102402)),f335(f335(f86(a927),x102403),x102404)))+~P106(f335(f335(f243(a1),f335(a95,f335(f293(f933(a927,a927),f933(a927,a927),a115),f335(f335(f317(f933(a927,a927)),f335(f335(f260(a927,a927),x102401),x102404)),f195(f934(f933(a927,a927),a922)))))),f335(a95,f335(f293(f933(a927,a927),f933(a927,a927),a115),f335(f335(f317(f933(a927,a927)),f335(f335(f260(a927,a927),x102403),x102402)),f195(f934(f933(a927,a927),a922))))))) % 209.33/209.63 [10241]P106(f335(f335(f244(a927),f335(f335(f86(a927),x102411),x102412)),f335(f335(f86(a927),x102413),x102414)))+~P106(f335(f335(f244(a1),f335(a95,f335(f293(f933(a927,a927),f933(a927,a927),a115),f335(f335(f317(f933(a927,a927)),f335(f335(f260(a927,a927),x102411),x102414)),f195(f934(f933(a927,a927),a922)))))),f335(a95,f335(f293(f933(a927,a927),f933(a927,a927),a115),f335(f335(f317(f933(a927,a927)),f335(f335(f260(a927,a927),x102413),x102412)),f195(f934(f933(a927,a927),a922))))))) % 209.33/209.63 [10285]P106(f335(f335(f243(f934(x102851,a922)),f335(f335(f44(a927,f934(x102851,a922)),f250(f934(a927,a922))),x102852)),f335(f335(f44(a927,f934(x102851,a922)),f250(f934(a927,a922))),x102853)))+~P106(f335(f335(f243(f934(x102851,a922)),f335(f335(f44(a927,f934(x102851,a922)),f335(f310(a927,f2(a927)),f448(x102853,x102854,x102852,x102851))),x102852)),f335(f335(f44(a927,f934(x102851,a922)),f335(f310(a927,f2(a927)),f335(f335(f86(a927),f448(x102853,x102854,x102852,x102851)),x102854))),x102853))) % 209.33/209.63 [10345]P106(f335(f335(f243(a106),x103454),f2(a106)))+E(f335(f335(f267(f933(a106,a106),f933(x103451,f934(a930,a331)),f933(a106,a106),f933(f934(a106,f934(a922,f931(f929(x103451)))),f933(a106,a106))),f335(x103452,x103453)),f335(f335(f8(f934(f934(a106,f934(a922,f931(f929(x103451)))),f934(f933(a106,a106),f933(f934(a106,f934(a922,f931(f929(x103451)))),f933(a106,a106)))),f934(f933(a106,a106),f933(f934(a106,f934(a922,f931(f929(x103451)))),f933(a106,a106))),f933(x103451,f934(a930,a331))),f335(f267(f933(a106,a106),f934(a106,f934(a922,f931(f929(x103451)))),f933(a106,a106),f933(f934(a106,f934(a922,f931(f929(x103451)))),f933(a106,a106))),f285(x103451,x103452,f335(f335(f23(a106),x103454),f84(a106)),x103453))),f335(f335(f8(f934(f934(a106,f934(a922,f931(f929(x103451)))),f934(a106,f934(a922,f931(f929(x103451))))),f934(f934(a106,f934(a922,f931(f929(x103451)))),f934(f933(a106,a106),f933(f934(a106,f934(a922,f931(f929(x103451)))),f933(a106,a106)))),f933(x103451,f934(a930,a331))),f335(f8(f934(a106,f934(a922,f931(f929(x103451)))),f934(f933(a106,a106),f933(f934(a106,f934(a922,f931(f929(x103451)))),f933(a106,a106))),f934(a106,f934(a922,f931(f929(x103451))))),f260(f934(a106,f934(a922,f931(f929(x103451)))),f933(a106,a106)))),f335(f335(f8(f934(a106,f934(a922,f931(f929(x103451)))),f934(f934(a106,f934(a922,f931(f929(x103451)))),f934(a106,f934(a922,f931(f929(x103451))))),f933(x103451,f934(a930,a331))),f49(x103451)),f335(f335(f8(x103451,f934(a106,f934(a922,f931(f929(x103451)))),f933(x103451,f934(a930,a331))),f47(x103451)),f259(x103451,f934(a930,a331))))))),f285(x103451,x103452,x103454,x103453)) % 209.33/209.63 [10409]~P106(f335(f335(f337(x104092),x104094),f335(f292(x104091,x104092),x104093)))+P106(f335(f258(x104091,x104092,f335(f335(f7(x104091,f934(f933(x104091,x104092),a922),f934(x104092,a922)),f335(f335(f8(f934(x104092,f934(f934(f933(x104091,x104092),a922),a922)),f934(f934(f933(x104091,x104092),a922),f934(x104092,a922)),x104091),f7(x104092,f934(f933(x104091,x104092),a922),a922)),f335(f335(f8(f934(x104092,f933(x104091,x104092)),f934(x104092,f934(f934(f933(x104091,x104092),a922),a922)),x104091),f335(f8(f933(x104091,x104092),f934(f934(f933(x104091,x104092),a922),a922),x104092),f337(f933(x104091,x104092)))),f260(x104091,x104092)))),x104093)),x104094)) % 209.33/209.63 [10410]~P106(f335(f335(f337(x104101),x104104),f335(f272(x104101,x104102),x104103)))+P106(f335(f257(x104101,x104102,f335(f335(f7(x104101,f934(f933(x104101,x104102),a922),f934(x104102,a922)),f335(f335(f8(f934(x104102,f934(f934(f933(x104101,x104102),a922),a922)),f934(f934(f933(x104101,x104102),a922),f934(x104102,a922)),x104101),f7(x104102,f934(f933(x104101,x104102),a922),a922)),f335(f335(f8(f934(x104102,f933(x104101,x104102)),f934(x104102,f934(f934(f933(x104101,x104102),a922),a922)),x104101),f335(f8(f933(x104101,x104102),f934(f934(f933(x104101,x104102),a922),a922),x104102),f337(f933(x104101,x104102)))),f260(x104101,x104102)))),x104103)),x104104)) % 209.33/209.63 [10424]P106(f335(f335(f337(x104241),x104242),f335(f292(x104243,x104241),x104244)))+~P106(f335(f258(x104243,x104241,f335(f335(f7(x104243,f934(f933(x104243,x104241),a922),f934(x104241,a922)),f335(f335(f8(f934(x104241,f934(f934(f933(x104243,x104241),a922),a922)),f934(f934(f933(x104243,x104241),a922),f934(x104241,a922)),x104243),f7(x104241,f934(f933(x104243,x104241),a922),a922)),f335(f335(f8(f934(x104241,f933(x104243,x104241)),f934(x104241,f934(f934(f933(x104243,x104241),a922),a922)),x104243),f335(f8(f933(x104243,x104241),f934(f934(f933(x104243,x104241),a922),a922),x104241),f337(f933(x104243,x104241)))),f260(x104243,x104241)))),x104244)),x104242)) % 209.33/209.63 [10425]P106(f335(f335(f337(x104251),x104252),f335(f272(x104251,x104253),x104254)))+~P106(f335(f257(x104251,x104253,f335(f335(f7(x104251,f934(f933(x104251,x104253),a922),f934(x104253,a922)),f335(f335(f8(f934(x104253,f934(f934(f933(x104251,x104253),a922),a922)),f934(f934(f933(x104251,x104253),a922),f934(x104253,a922)),x104251),f7(x104253,f934(f933(x104251,x104253),a922),a922)),f335(f335(f8(f934(x104253,f933(x104251,x104253)),f934(x104253,f934(f934(f933(x104251,x104253),a922),a922)),x104251),f335(f8(f933(x104251,x104253),f934(f934(f933(x104251,x104253),a922),a922),x104253),f337(f933(x104251,x104253)))),f260(x104251,x104253)))),x104254)),x104252)) % 209.33/209.63 [10073]P106(f335(f167(x100731,x100732),x100733))+~P106(f335(f167(x100731,f335(f335(f18(x100731,a922,a922),f335(f335(f8(a922,f934(a922,a922),x100731),a333),x100734)),x100732)),x100733)) % 209.33/209.63 [10074]P106(f335(f167(x100741,x100742),x100743))+~P106(f335(f167(x100741,f335(f335(f18(x100741,a922,a922),f335(f335(f8(a922,f934(a922,a922),x100741),a333),x100742)),x100744)),x100743)) % 209.33/209.63 [10162]~P116(x101621)+E(f335(f335(f87(x101621),f335(f335(f86(x101621),f84(x101621)),f84(x101621))),f335(f335(f6(a927,x101621),f335(f335(f8(x101621,x101621,a927),f335(f86(x101621),x101622)),f335(f335(f7(a927,x101621,x101621),f335(f335(f8(x101621,f934(x101621,x101621),a927),f87(x101621)),f107(x101621))),x101623))),f335(f290(a927),x101624))),f335(f335(f87(x101621),f335(f107(x101621),x101624)),f335(f335(f86(x101621),x101622),f335(f335(f86(x101621),x101622),f335(f335(f87(x101621),f335(f107(x101621),f335(f335(f23(a927),x101624),f84(a927)))),x101623))))) % 209.33/209.63 [10306]P106(f335(x103061,f388(x103062,x103063,x103064,x103061)))+P37(x103062,f335(f270(f933(x103062,x103062)),f335(f265(x103062,x103062,a922),f335(f335(f8(f934(x103062,a922),f934(x103062,a922),x103062),f335(f18(x103062,a922,a922),f335(f335(f8(a922,f934(a922,a922),x103062),a333),x103061))),f335(f335(f7(x103062,f934(x103062,x103062),f934(x103062,a922)),f335(f335(f8(f934(x103062,a922),f934(f934(x103062,x103062),f934(x103062,a922)),x103062),f8(x103062,a922,x103062)),a332)),x103063))))) % 209.33/209.63 [10320]~P106(f335(f335(f244(a927),f335(x103204,f335(x103203,f388(x103201,x103203,x103204,x103202)))),f335(x103204,f388(x103201,x103203,x103204,x103202))))+P37(x103201,f335(f270(f933(x103201,x103201)),f335(f265(x103201,x103201,a922),f335(f335(f8(f934(x103201,a922),f934(x103201,a922),x103201),f335(f18(x103201,a922,a922),f335(f335(f8(a922,f934(a922,a922),x103201),a333),x103202))),f335(f335(f7(x103201,f934(x103201,x103201),f934(x103201,a922)),f335(f335(f8(f934(x103201,a922),f934(f934(x103201,x103201),f934(x103201,a922)),x103201),f8(x103201,a922,x103201)),a332)),x103203))))) % 209.33/209.63 [10394]~P5(x103941)+E(f43(x103941,f335(f270(x103941),f335(f335(f8(f934(f934(x103942,x103941),a922),a922,x103941),f93(f934(x103942,x103941))),f335(f335(f8(f934(f934(x103942,x103941),a922),f934(f934(x103942,x103941),a922),x103941),f335(f18(f934(x103942,x103941),a922,a922),f335(f335(f8(a922,f934(a922,a922),f934(x103942,x103941)),a333),f335(f335(f7(f934(x103942,x103941),f934(f934(x103942,x103941),a922),a922),f337(f934(x103942,x103941))),x103943)))),f335(f335(f7(x103941,f934(f934(x103942,x103941),x103941),f934(f934(x103942,x103941),a922)),f335(f335(f8(f934(x103941,a922),f934(f934(f934(x103942,x103941),x103941),f934(f934(x103942,x103941),a922)),x103941),f8(x103941,a922,f934(x103942,x103941))),a332)),f335(f335(f7(f934(x103942,x103941),x103942,x103941),f5(f934(x103942,x103941))),x103944)))))),f335(f43(f934(x103942,x103941),x103943),x103944)) % 209.33/209.63 [10395]~P5(x103951)+E(f43(x103951,f335(f270(x103951),f335(f335(f8(f934(f934(x103952,x103951),a922),a922,x103951),f93(f934(x103952,x103951))),f335(f335(f8(f934(f934(x103952,x103951),a922),f934(f934(x103952,x103951),a922),x103951),f335(f18(f934(x103952,x103951),a922,a922),f335(f335(f8(a922,f934(a922,a922),f934(x103952,x103951)),a333),f335(f335(f7(f934(x103952,x103951),f934(f934(x103952,x103951),a922),a922),f337(f934(x103952,x103951))),x103953)))),f335(f335(f7(x103951,f934(f934(x103952,x103951),x103951),f934(f934(x103952,x103951),a922)),f335(f335(f8(f934(x103951,a922),f934(f934(f934(x103952,x103951),x103951),f934(f934(x103952,x103951),a922)),x103951),f8(x103951,a922,f934(x103952,x103951))),a332)),f335(f335(f7(f934(x103952,x103951),x103952,x103951),f5(f934(x103952,x103951))),x103954)))))),f335(f43(f934(x103952,x103951),x103953),x103954)) % 209.33/209.63 [10396]~P5(x103961)+E(f42(x103961,f335(f270(x103961),f335(f335(f8(f934(f934(x103962,x103961),a922),a922,x103961),f93(f934(x103962,x103961))),f335(f335(f8(f934(f934(x103962,x103961),a922),f934(f934(x103962,x103961),a922),x103961),f335(f18(f934(x103962,x103961),a922,a922),f335(f335(f8(a922,f934(a922,a922),f934(x103962,x103961)),a333),f335(f335(f7(f934(x103962,x103961),f934(f934(x103962,x103961),a922),a922),f337(f934(x103962,x103961))),x103963)))),f335(f335(f7(x103961,f934(f934(x103962,x103961),x103961),f934(f934(x103962,x103961),a922)),f335(f335(f8(f934(x103961,a922),f934(f934(f934(x103962,x103961),x103961),f934(f934(x103962,x103961),a922)),x103961),f8(x103961,a922,f934(x103962,x103961))),a332)),f335(f335(f7(f934(x103962,x103961),x103962,x103961),f5(f934(x103962,x103961))),x103964)))))),f335(f42(f934(x103962,x103961),x103963),x103964)) % 209.33/209.63 [10397]~P5(x103971)+E(f42(x103971,f335(f270(x103971),f335(f335(f8(f934(f934(x103972,x103971),a922),a922,x103971),f93(f934(x103972,x103971))),f335(f335(f8(f934(f934(x103972,x103971),a922),f934(f934(x103972,x103971),a922),x103971),f335(f18(f934(x103972,x103971),a922,a922),f335(f335(f8(a922,f934(a922,a922),f934(x103972,x103971)),a333),f335(f335(f7(f934(x103972,x103971),f934(f934(x103972,x103971),a922),a922),f337(f934(x103972,x103971))),x103973)))),f335(f335(f7(x103971,f934(f934(x103972,x103971),x103971),f934(f934(x103972,x103971),a922)),f335(f335(f8(f934(x103971,a922),f934(f934(f934(x103972,x103971),x103971),f934(f934(x103972,x103971),a922)),x103971),f8(x103971,a922,f934(x103972,x103971))),a332)),f335(f335(f7(f934(x103972,x103971),x103972,x103971),f5(f934(x103972,x103971))),x103974)))))),f335(f42(f934(x103972,x103971),x103973),x103974)) % 209.33/209.63 [10450]~P106(f335(f335(f337(f933(x104501,x104501)),f335(f335(f260(x104501,x104501),x104503),x104504)),f335(f335(f117(f934(f933(x104501,x104501),a922)),x104502),f315(x104501,f195(f934(f933(x104501,x104501),a922))))))+P106(f335(f335(f335(f335(f117(f934(x104501,f934(x104501,a922))),f335(f335(f7(x104501,f934(f933(x104501,x104501),a922),f934(x104501,a922)),f335(f335(f8(f934(x104501,f934(f934(f933(x104501,x104501),a922),a922)),f934(f934(f933(x104501,x104501),a922),f934(x104501,a922)),x104501),f7(x104501,f934(f933(x104501,x104501),a922),a922)),f335(f335(f8(f934(x104501,f933(x104501,x104501)),f934(x104501,f934(f934(f933(x104501,x104501),a922),a922)),x104501),f335(f8(f933(x104501,x104501),f934(f934(f933(x104501,x104501),a922),a922),x104501),f337(f933(x104501,x104501)))),f260(x104501,x104501)))),x104502)),a332),x104503),x104504)) % 209.33/209.63 [10460]P106(f335(f335(f337(f933(x104601,x104601)),f335(f335(f260(x104601,x104601),x104602),x104603)),f335(f335(f117(f934(f933(x104601,x104601),a922)),x104604),f315(x104601,f195(f934(f933(x104601,x104601),a922))))))+~P106(f335(f335(f335(f335(f117(f934(x104601,f934(x104601,a922))),f335(f335(f7(x104601,f934(f933(x104601,x104601),a922),f934(x104601,a922)),f335(f335(f8(f934(x104601,f934(f934(f933(x104601,x104601),a922),a922)),f934(f934(f933(x104601,x104601),a922),f934(x104601,a922)),x104601),f7(x104601,f934(f933(x104601,x104601),a922),a922)),f335(f335(f8(f934(x104601,f933(x104601,x104601)),f934(x104601,f934(f934(f933(x104601,x104601),a922),a922)),x104601),f335(f8(f933(x104601,x104601),f934(f934(f933(x104601,x104601),a922),a922),x104601),f337(f933(x104601,x104601)))),f260(x104601,x104601)))),x104604)),a332),x104602),x104603)) % 209.33/209.63 [10405]E(f335(f335(f158(f928(x104051)),f335(f335(f158(x104051),x104052),f335(f149(f928(x104051),f928(x104051),f141(x104051),f120(x104051)),f335(f335(f161(f928(x104051),f928(x104051)),f163(f928(x104051),x104051,f120(x104051),f335(f335(f8(f928(x104051),f934(f928(x104051),f928(x104051)),x104051),f16(f928(x104051),f928(x104051))),f335(f335(f7(x104051,f928(x104051),f928(x104051)),f158(x104051)),f120(x104051))))),x104053)))),f186(x104051,f335(f335(f158(f928(x104051)),x104054),f335(f149(f928(f928(x104051)),f928(f928(x104051)),f141(f928(x104051)),f120(f928(x104051))),f335(f335(f161(f928(x104051),f928(f928(x104051))),f163(f928(f928(x104051)),x104051,f120(f928(x104051)),f335(f16(f934(f928(x104051),f928(f928(x104051))),x104051),f335(f335(f7(f928(x104051),f928(f928(x104051)),f928(f928(x104051))),f158(f928(x104051))),f120(f928(x104051)))))),x104053))))),f186(x104051,f335(f335(f158(f928(x104051)),f335(f335(f158(x104051),x104052),x104054)),x104053)))+~P106(f335(f323(f928(f928(x104051)),f187(x104051)),f335(f335(f158(f928(x104051)),f335(f335(f158(x104051),x104052),x104054)),x104053))) % 209.33/209.63 [10449]~P106(f335(f66(x104492),f335(f270(x104492),x104494)))+P106(f335(f66(x104491),f335(f270(x104491),f335(f335(f8(f934(x104492,a922),a922,x104491),f93(x104492)),f335(f335(f7(x104491,f934(x104492,a922),f934(x104492,a922)),f335(f335(f8(f934(x104492,f934(a922,a922)),f934(f934(x104492,a922),f934(x104492,a922)),x104491),f18(x104492,a922,a922)),f335(f335(f8(f934(x104492,a922),f934(x104492,f934(a922,a922)),x104491),f335(f8(a922,f934(a922,a922),x104492),a333)),f335(f335(f7(x104491,f934(x104492,x104491),f934(x104492,a922)),f335(f335(f8(f934(x104491,a922),f934(f934(x104492,x104491),f934(x104492,a922)),x104491),f8(x104491,a922,x104492)),a332)),x104493)))),x104494))))) % 209.33/209.63 [8969]P25(x89691,x89692,x89693,x89694)+~P26(x89691,x89692,x89693,x89694,x89695) % 209.33/209.63 [5508]E(x55081,x55082)+~E(f176(x55083,x55081,x55084),f176(x55083,x55082,x55085)) % 209.33/209.63 [5509]E(x55091,x55092)+~E(f133(x55093,x55094,x55091),f133(x55093,x55095,x55092)) % 209.33/209.63 [5510]E(x55101,x55102)+~E(f133(x55103,x55101,x55104),f133(x55103,x55102,x55105)) % 209.33/209.63 [8301]~E(f335(x83013,x83014),x83015)+E(f80(x83011,x83012,x83013,x83014,x83015),x83013) % 209.33/209.63 [8827]~E(f80(x88274,x88275,x88271,x88272,x88273),x88271)+E(f335(x88271,x88272),x88273) % 209.33/209.63 [9443]~P26(x94432,x94431,x94434,x94433,x94435)+P26(x94431,x94432,f83(x94432,x94431,x94433,x94434),x94435,x94433) % 209.33/209.63 [9444]~P26(x94442,x94441,x94444,x94443,x94445)+P26(x94441,x94442,f97(x94442,x94441,x94443,x94444),x94445,x94443) % 209.33/209.63 [6305]P106(f335(f258(x63051,x63052,x63053),x63054))+~P106(f335(f335(x63053,x63055),x63054)) % 209.33/209.63 [6307]P106(f335(f257(x63071,x63072,x63073),x63074))+~P106(f335(f335(x63073,x63074),x63075)) % 209.33/209.63 [6776]~E(x67765,f2(a106))+E(f335(f207(x67761,x67762,x67763,x67764),x67765),f122(x67762)) % 209.33/209.63 [6777]~E(x67775,f2(a106))+E(f335(f205(x67771,x67772,x67773,x67774),x67775),f131(x67772)) % 209.33/209.63 [6913]~E(x69133,f2(a106))+E(f335(f281(x69131,x69132,x69133,x69134),x69135),f335(f260(x69131,x69132),x69135)) % 209.33/209.63 [7954]~P20(x79544,x79541,x79542,x79545)+E(f335(f78(x79541,x79541,x79541,f335(x79542,x79543)),f335(x79542,x79543)),f335(x79542,x79543)) % 209.33/209.63 [8339]~P16(x83395,x83391,x83392)+E(f335(f78(x83391,x83391,x83391,f335(x83392,x83393)),f335(x83392,x83394)),f335(f78(x83391,x83391,x83391,f335(x83392,x83394)),f335(x83392,x83393))) % 209.33/209.63 [8662]P106(f335(f335(f337(f933(x86621,x86621)),f335(f335(f260(x86621,x86621),x86622),x86623)),f329(x86621,x86624,x86625)))+~P106(f335(f335(f244(a927),f335(x86624,x86622)),f335(x86624,x86623))) % 209.33/209.63 [8755]~P106(f335(f335(f337(x87554),x87553),f298(x87554,x87551,x87552,x87555)))+P106(f335(f335(x87551,x87552),x87553)) % 209.33/209.63 [8756]~P106(f335(f335(f337(x87564),x87563),f307(x87564,x87561,x87562,x87565)))+P106(f335(f335(x87561,x87562),x87563)) % 209.33/209.63 [8757]~P106(f335(f335(f337(x87574),x87572),f298(x87574,x87571,x87575,x87573)))+P106(f335(f335(x87571,x87572),x87573)) % 209.33/209.63 [8758]~P106(f335(f335(f337(x87584),x87582),f307(x87584,x87581,x87585,x87583)))+P106(f335(f335(x87581,x87582),x87583)) % 209.33/209.63 [8839]~P26(x88391,x88393,x88395,x88392,x88394)+E(f335(f40(x88391),x88392),f335(f40(x88393),x88394)) % 209.33/209.63 [8887]~P26(x88871,x88872,x88873,x88874,x88875)+E(f335(f318(x88871,x88872,x88873),x88874),x88875) % 209.33/209.63 [8907]~P57(x89072,x89071,x89075,x89073,x89074)+E(f335(f318(x89071,x89072,x89073),x89074),f250(f934(x89072,a922))) % 209.33/209.63 [9356]~P34(x93561,x93562,x93563,x93564,x93565)+P34(x93561,x93562,x93563,f335(f175(x93561),x93564),f335(f175(x93562),x93565)) % 209.33/209.63 [9358]~P34(x93581,x93582,x93583,f335(f175(x93581),x93584),x93585)+P34(x93581,x93582,x93583,x93584,f335(f175(x93582),x93585)) % 209.33/209.63 [9359]~P34(x93591,x93592,x93593,x93594,f335(f175(x93592),x93595))+P34(x93591,x93592,x93593,f335(f175(x93591),x93594),x93595) % 209.33/209.63 [9365]P34(x93651,x93652,x93653,x93654,x93655)+~P34(x93651,x93652,x93653,f335(f175(x93651),x93654),f335(f175(x93652),x93655)) % 209.33/209.63 [9759]P106(f335(f335(f337(f933(f928(x97591),f928(x97591))),f335(f335(f260(f928(x97591),f928(x97591)),f335(f335(f158(x97591),x97592),x97593)),f335(f335(f158(x97591),x97592),x97594))),f164(x97591,x97595)))+~P106(f335(f335(f337(f933(f928(x97591),f928(x97591))),f335(f335(f260(f928(x97591),f928(x97591)),x97593),x97594)),f164(x97591,x97595))) % 209.33/209.63 [9760]P106(f335(f335(f337(f933(f928(x97601),f928(x97601))),f335(f335(f260(f928(x97601),f928(x97601)),f335(f335(f141(x97601),x97602),x97603)),f335(f335(f141(x97601),x97602),x97604))),f154(x97601,x97605)))+~P106(f335(f335(f337(f933(f928(x97601),f928(x97601))),f335(f335(f260(f928(x97601),f928(x97601)),x97603),x97604)),f154(x97601,x97605))) % 209.33/209.63 [9957]E(f335(f335(f158(x99571),f675(x99572,x99573,x99574,x99575,x99571)),f677(x99572,x99573,x99574,x99575,x99571)),x99575)+~P106(f335(f335(f337(f933(f928(x99571),f928(x99571))),f335(f335(f260(f928(x99571),f928(x99571)),x99575),f335(f335(f158(x99571),x99574),x99573))),f165(x99571,x99572))) % 209.33/209.63 [9978]E(f335(f335(f158(x99781),f678(x99782,x99783,x99784,x99785,x99781)),f679(x99782,x99783,x99784,x99785,x99781)),x99783)+~P106(f335(f335(f337(f933(f928(x99781),f928(x99781))),f335(f335(f260(f928(x99781),f928(x99781)),f335(f335(f158(x99781),x99785),x99784)),x99783)),f165(x99781,x99782))) % 209.33/209.63 [10124]~P106(f335(f335(f337(f933(f928(x101241),f928(x101241))),f335(f335(f260(f928(x101241),f928(x101241)),f335(f335(f158(x101241),x101245),x101242)),x101244)),f165(x101241,x101243)))+P106(f335(f335(f337(f933(f928(x101241),f928(x101241))),f335(f335(f260(f928(x101241),f928(x101241)),x101242),f679(x101243,x101244,x101242,x101245,x101241))),f165(x101241,x101243))) % 209.33/209.63 [10206]~P106(f335(f335(f337(f933(f928(x102061),f928(x102061))),f335(f335(f260(f928(x102061),f928(x102061)),x102065),f335(f335(f158(x102061),x102064),x102063))),f165(x102061,x102062)))+P106(f335(f335(f337(f933(f928(x102061),f928(x102061))),f335(f335(f260(f928(x102061),f928(x102061)),f677(x102062,x102063,x102064,x102065,x102061)),x102063)),f165(x102061,x102062))) % 209.33/209.63 [10398]P106(f335(f335(f337(f933(x103981,x103981)),f335(f335(f260(x103981,x103981),f335(x103982,f335(f335(f86(a927),x103983),x103984))),f335(x103982,x103983))),f315(x103981,x103985)))+~P106(f335(f335(f337(f933(x103981,x103981)),f335(f335(f260(x103981,x103981),f335(x103982,f335(a119,f617(x103984,x103983,x103985,x103982,x103981)))),f335(x103982,f617(x103984,x103983,x103985,x103982,x103981)))),f315(x103981,x103985))) % 209.33/209.63 [5476]E(x54761,x54762)+~E(f335(f335(f158(x54763),x54764),x54761),f335(f335(f158(x54763),x54765),x54762)) % 209.33/209.63 [5477]E(x54771,x54772)+~E(f335(f335(f158(x54773),x54771),x54774),f335(f335(f158(x54773),x54772),x54775)) % 209.33/209.63 [5525]P106(f335(x55251,x55252))+~E(f335(f143(x55253,x55251),x55254),f335(f335(f158(x55253),x55252),x55255)) % 209.33/209.63 [5526]P106(f335(x55261,x55262))+~E(f335(f335(f158(x55263),x55262),x55264),f335(f143(x55263,x55261),x55265)) % 209.33/209.63 [5682]~E(f335(f335(f145(x56821),x56823),x56822),f335(f335(f158(x56821),x56824),x56825))+E(f335(f335(f171(x56821),x56822),x56823),x56824) % 209.33/209.63 [5821]~P14(x58214,x58215,x58211)+E(f335(f335(x58211,x58212),f335(f335(x58211,x58212),x58213)),f335(f335(x58211,x58212),x58213)) % 209.33/209.63 [6363]~E(x63634,f2(a106))+E(f335(f335(f124(x63631,x63632,x63633),x63634),x63635),f335(f335(f260(f928(x63632),x63631),f120(x63632)),x63635)) % 209.33/209.63 [6433]~P108(x64332)+~E(f335(f335(f155(x64331,x64332,x64333),x64334),x64335),f120(x64331)) % 209.33/209.63 [6815]E(x68151,x68152)+~E(f335(f335(f141(x68153),x68154),f335(f335(f158(x68153),x68151),f120(x68153))),f335(f335(f141(x68153),x68155),f335(f335(f158(x68153),x68152),f120(x68153)))) % 209.33/209.63 [6816]E(x68161,x68162)+~E(f335(f335(f141(x68163),x68161),f335(f335(f158(x68163),x68164),f120(x68163))),f335(f335(f141(x68163),x68162),f335(f335(f158(x68163),x68165),f120(x68163)))) % 209.33/209.63 [7127]E(f335(f335(f317(x71271),f335(x71272,x71273)),f335(f318(x71274,x71271,x71272),x71275)),f335(f318(x71274,x71271,x71272),x71275))+~P106(f335(f335(f337(x71274),x71273),x71275)) % 209.33/209.63 [7133]~P106(f335(x71334,f335(x71333,x71335)))+P106(f335(f335(f319(x71331,x71332,x71333),x71334),x71335)) % 209.33/209.63 [7136]~P106(f335(f335(x71363,x71365),x71364))+P106(f335(f335(f251(x71361,x71362,x71363),x71364),x71365)) % 209.33/209.63 [7231]~E(f335(f318(x72311,x72312,x72313),x72314),x72315)+E(f335(f318(f934(x72311,a922),f934(x72312,a922),f318(x72311,x72312,x72313)),f335(f316(x72311),x72314)),f335(f316(x72312),x72315)) % 209.33/209.63 [7258]E(f335(f279(x72581,x72582,x72583,x72584),x72585),f335(x72584,x72585))+~P106(f335(f335(f337(x72581),x72585),x72583)) % 209.33/209.63 [7573]P25(x75731,x75732,x75733,x75734)+~P25(x75731,x75732,x75733,f335(f335(f317(x75731),x75735),x75734)) % 209.33/209.63 [7636]P106(f335(x76361,x76362))+~P106(f335(f335(f99(x76363,x76364,x76361),x76365),x76362)) % 209.33/209.63 [7677]~P106(f335(f335(f337(x76774),x76773),x76775))+P106(f335(f335(f337(x76771),f335(x76772,x76773)),f335(f318(x76774,x76771,x76772),x76775))) % 209.33/209.63 [7698]~P108(x76982)+E(f157(x76981,x76982,x76983,f335(f143(x76981,x76984),x76985)),f335(f143(x76981,x76984),f157(x76981,x76982,x76983,x76985))) % 209.33/209.63 [7728]P106(f335(x77281,f335(x77282,x77283)))+~P106(f335(f335(f319(x77284,x77285,x77282),x77281),x77283)) % 209.33/209.63 [7731]P106(f335(f335(x77311,x77312),x77313))+~P106(f335(f335(f251(x77314,x77315,x77311),x77313),x77312)) % 209.33/209.63 [7732]P106(f335(f335(x77321,x77322),x77323))+~P106(f335(f335(f99(x77324,x77321,x77325),x77322),x77323)) % 209.33/209.63 [7793]~P106(f335(f335(f337(x77933),f335(x77934,x77932)),x77935))+P106(f335(f335(f337(x77931),x77932),f335(f319(x77931,x77933,x77934),x77935))) % 209.33/209.63 [8183]~P106(f335(f335(f337(x81835),x81833),f335(f319(x81835,x81831,x81832),x81834)))+P106(f335(f335(f337(x81831),f335(x81832,x81833)),x81834)) % 209.33/209.63 [8477]~P16(x84772,x84771,x84773)+E(f335(f149(x84771,x84772,f335(f7(x84772,x84771,x84771),x84773),x84774),f159(x84772,x84775)),f335(f335(f69(x84772,x84771,x84773),x84774),f335(f179(x84772),x84775))) % 209.33/209.63 [8499]E(f335(x84991,f408(x84992,x84991,x84993,x84994)),x84994)+~P106(f335(f335(f337(x84995),x84994),f335(f318(x84993,x84995,x84991),x84992))) % 209.33/209.63 [8500]E(f335(x85001,f409(x85002,x85001,x85003,x85004)),x85004)+~P106(f335(f335(f337(x85005),x85004),f335(f318(x85003,x85005,x85001),x85002))) % 209.33/209.63 [8802]~E(x88022,f335(f335(f158(x88021),x88024),x88025))+P106(f335(f335(f337(f933(f928(x88021),f928(x88021))),f335(f335(f260(f928(x88021),f928(x88021)),f120(x88021)),x88022)),f154(x88021,x88023))) % 209.33/209.63 [8848]E(f335(x88481,f335(f97(x88482,x88483,x88484,x88481),x88485)),x88485)+~P106(f335(f335(f337(x88483),x88485),f335(f318(x88482,x88483,x88481),x88484))) % 209.33/209.63 [8851]P25(x88511,x88512,f97(x88512,x88511,x88513,x88514),x88515)+~P106(f335(f335(f243(f934(x88511,a922)),x88515),f335(f318(x88512,x88511,x88514),x88513))) % 209.33/209.63 [8858]~P34(x88581,x88583,x88585,x88582,x88584)+E(f335(f196(f928(x88581)),x88582),f335(f196(f928(x88583)),x88584)) % 209.33/209.63 [8869]P106(f335(f335(f243(f934(x88691,a922)),f335(f335(f45(x88692,f934(x88691,a922)),x88693),x88694)),f335(x88694,x88695)))+~P106(f335(f335(f337(x88692),x88695),x88693)) % 209.33/209.63 [8923]~P57(x89231,x89232,x89233,x89235,x89234)+E(f335(f318(x89231,x89232,x89233),f250(f934(x89231,a922))),x89234) % 209.33/209.63 [9150]E(f335(f143(x91501,x91502),f764(x91503,x91504,x91505,x91502,x91501)),x91503)+~E(f335(f143(x91501,x91502),x91505),f335(f335(f158(x91501),x91504),x91503)) % 209.33/209.63 [9151]E(f335(f143(x91511,x91512),f768(x91513,x91512,x91514,x91515,x91511)),x91514)+~E(f335(f335(f158(x91511),x91515),x91514),f335(f143(x91511,x91512),x91513)) % 209.33/209.63 [9244]E(f335(f196(f928(x92441)),x92442),x92443)+~P106(f335(f335(f337(f933(f928(x92441),f928(x92441))),f335(f335(f260(f928(x92441),f928(x92441)),x92444),x92442)),f335(f150(x92441,x92445),x92443))) % 209.33/209.63 [9245]E(f335(f196(f928(x92451)),x92452),x92453)+~P106(f335(f335(f337(f933(f928(x92451),f928(x92451))),f335(f335(f260(f928(x92451),f928(x92451)),x92452),x92454)),f335(f150(x92451,x92455),x92453))) % 209.33/209.63 [9314]P106(f335(f335(f337(x93141),f408(x93142,x93143,x93141,x93144)),x93142))+~P106(f335(f335(f337(x93145),x93144),f335(f318(x93141,x93145,x93143),x93142))) % 209.33/209.63 [9315]P106(f335(f335(f337(x93151),f409(x93152,x93153,x93151,x93154)),x93152))+~P106(f335(f335(f337(x93155),x93154),f335(f318(x93151,x93155,x93153),x93152))) % 209.33/209.63 [9470]E(f335(f318(x94701,x94702,x94703),f485(x94704,x94703,x94701,x94705,x94702)),x94705)+~P106(f335(f335(f243(f934(x94702,a922)),x94705),f335(f318(x94701,x94702,x94703),x94704))) % 209.33/209.63 [9777]P106(f335(f335(f337(f933(f928(x97771),f928(x97771))),f335(f335(f260(f928(x97771),f928(x97771)),f335(f335(f158(x97771),x97772),x97773)),f335(f335(f158(x97771),x97772),x97774))),f315(f928(x97771),f164(x97771,x97775))))+~P106(f335(f335(f337(f933(f928(x97771),f928(x97771))),f335(f335(f260(f928(x97771),f928(x97771)),x97773),x97774)),f315(f928(x97771),f164(x97771,x97775)))) % 209.33/209.63 [9808]~E(f335(x98083,f717(x98085,x98084,x98083,x98082,x98081)),f335(x98085,f717(x98085,x98084,x98083,x98082,x98081)))+E(f335(f335(f161(x98081,x98082),x98083),x98084),f335(f335(f161(x98081,x98082),x98085),x98084)) % 209.33/209.63 [9884]~E(f335(f143(x98841,x98845),x98844),f335(f335(f158(x98841),x98843),x98842))+E(f335(f335(f141(x98841),f765(x98842,x98843,x98844,x98845,x98841)),f335(f335(f158(x98841),x98843),f764(x98842,x98843,x98844,x98845,x98841))),x98844) % 209.33/209.63 [9885]~E(f335(f335(f158(x98851),x98855),x98854),f335(f143(x98851,x98853),x98852))+E(f335(f335(f141(x98851),f769(x98852,x98853,x98854,x98855,x98851)),f335(f335(f158(x98851),x98855),f768(x98852,x98853,x98854,x98855,x98851))),x98852) % 209.33/209.63 [9889]E(f335(f335(f161(x98891,x98892),x98893),x98894),f335(f335(f161(x98891,x98892),x98895),x98894))+P106(f335(f335(f337(x98891),f717(x98893,x98894,x98895,x98892,x98891)),f335(f179(x98891),x98894))) % 209.33/209.63 [9919]~P106(f335(f335(f337(x99195),x99194),f335(f293(x99191,x99195,x99193),x99192)))+P106(f335(f335(f337(x99191),f767(x99192,x99193,x99191,x99194,x99195)),x99192)) % 209.33/209.63 [9920]~P106(f335(f335(f337(x99205),x99204),f335(f293(x99201,x99205,x99203),x99202)))+P106(f335(f335(f337(x99201),f852(x99202,x99203,x99201,x99204,x99205)),x99202)) % 209.33/209.63 [9951]~P106(f335(f335(f243(f934(x99515,a922)),x99514),f335(f318(x99511,x99515,x99513),x99512)))+P106(f335(f335(f243(f934(x99511,a922)),f485(x99512,x99513,x99511,x99514,x99515)),x99512)) % 209.33/209.63 [10400]E(x104001,f2(a106))+E(f232(f933(f928(x104002),x104003),f933(x104002,x104003),f335(f335(f260(f928(x104002),x104003),f120(x104002)),x104004),f335(f265(x104002,x104003,f933(f928(x104002),x104003)),f335(f335(f7(x104002,f934(x104003,f933(f928(x104002),x104003)),f934(x104003,f933(f928(x104002),x104003))),f335(f335(f8(f934(f933(f928(x104002),x104003),f933(f928(x104002),x104003)),f934(f934(x104003,f933(f928(x104002),x104003)),f934(x104003,f933(f928(x104002),x104003))),x104002),f8(f933(f928(x104002),x104003),f933(f928(x104002),x104003),x104003)),f335(f335(f8(f934(f928(x104002),f934(x104003,f933(f928(x104002),x104003))),f934(f933(f928(x104002),x104003),f933(f928(x104002),x104003)),x104002),f265(f928(x104002),x104003,f933(f928(x104002),x104003))),f335(f335(f8(f934(f928(x104002),f928(x104002)),f934(f928(x104002),f934(x104003,f933(f928(x104002),x104003))),x104002),f335(f8(f928(x104002),f934(x104003,f933(f928(x104002),x104003)),f928(x104002)),f260(f928(x104002),x104003))),f158(x104002))))),f335(f124(x104003,x104002,x104005),f335(f335(f23(a106),x104001),f84(a106))))),f335(x104005,x104004)),f335(f335(f124(x104003,x104002,x104005),x104001),x104004)) % 209.33/209.63 [6244]E(x62441,x62442)+~E(f335(f264(x62443,x62444),f335(f335(f260(x62443,x62444),x62445),x62441)),x62442) % 209.33/209.63 [6245]E(x62451,x62452)+~E(f335(f259(x62453,x62454),f335(f335(f260(x62453,x62454),x62451),x62455)),x62452) % 209.33/209.63 [6506]~E(x65063,f335(f335(f141(x65061),x65064),f335(f335(f158(x65061),x65062),x65065)))+P106(f335(f335(f337(x65061),x65062),f335(f179(x65061),x65063))) % 209.33/209.63 [6900]E(f335(f318(x69001,x69002,f335(f16(x69002,x69001),x69003)),x69004),f335(f335(f317(x69002),x69003),f195(f934(x69002,a922))))+~P106(f335(f335(f337(x69001),x69005),x69004)) % 209.33/209.63 [6972]E(f335(f335(f117(f934(x69721,a922)),f335(f179(x69721),x69722)),f335(f179(x69721),x69723)),f335(f179(x69721),x69724))+~E(f173(x69721,x69725,x69724),f335(f335(f260(f928(x69721),f928(x69721)),x69722),x69723)) % 209.33/209.63 [7070]~P108(x70702)+E(f335(f196(f928(x70701)),f335(f335(f155(x70701,x70702,x70703),x70704),x70705)),f335(a119,f335(f196(f928(x70701)),x70705))) % 209.33/209.63 [7082]~P108(x70822)+E(f335(f179(x70821),f335(f335(f155(x70821,x70822,x70823),x70824),x70825)),f335(f335(f317(x70821),x70824),f335(f179(x70821),x70825))) % 209.33/209.63 [7352]~P116(x73521)+E(f335(f335(f87(x73521),f335(f335(f87(x73521),x73522),x73523)),f335(f335(f87(x73521),x73524),x73525)),f335(f335(f87(x73521),f335(f335(f87(x73521),x73522),x73524)),f335(f335(f87(x73521),x73523),x73525))) % 209.33/209.63 [7353]~P116(x73531)+E(f335(f335(f86(x73531),f335(f335(f86(x73531),x73532),x73533)),f335(f335(f86(x73531),x73534),x73535)),f335(f335(f86(x73531),f335(f335(f86(x73531),x73532),x73534)),f335(f335(f86(x73531),x73533),x73535))) % 209.33/209.63 [7354]~P65(x73541)+E(f335(f335(f299(x73541),f335(f335(f87(x73541),x73542),x73543)),f335(f335(f87(x73541),x73544),x73545)),f335(f335(f87(x73541),f335(f335(f299(x73541),x73542),x73544)),f335(f335(f299(x73541),x73543),x73545))) % 209.33/209.63 [7368]~P108(x73681)+E(f314(x73681,f335(f335(f242(x73681),x73682),x73683),f335(f335(f241(x73681),x73684),x73685)),f335(f335(f108(f934(x73681,a922)),f314(x73681,x73682,x73684)),f314(x73681,x73683,x73685))) % 209.33/209.63 [7369]~P108(x73691)+E(f313(x73691,f335(f335(f242(x73691),x73692),x73693),f335(f335(f241(x73691),x73694),x73695)),f335(f335(f108(f934(x73691,a922)),f313(x73691,x73692,x73694)),f313(x73691,x73693,x73695))) % 209.33/209.63 [7370]~P108(x73701)+E(f311(x73701,f335(f335(f242(x73701),x73702),x73703),f335(f335(f241(x73701),x73704),x73705)),f335(f335(f108(f934(x73701,a922)),f311(x73701,x73702,x73704)),f311(x73701,x73703,x73705))) % 209.33/209.63 [7371]~P108(x73711)+E(f335(f335(f108(f934(x73711,a922)),f335(f310(x73711,x73712),x73713)),f335(f310(x73711,x73714),x73715)),f335(f310(x73711,f335(f335(f242(x73711),x73712),x73714)),f335(f335(f241(x73711),x73713),x73715))) % 209.33/209.63 [7490]~P106(f335(x74901,f363(x74903,x74902,x74901)))+P106(f335(x74901,f335(f335(f260(x74902,x74903),x74904),x74905))) % 209.33/209.63 [7603]~E(x76032,f335(x76034,x76035))+P106(f335(f335(f337(x76031),x76032),f335(f318(x76033,x76031,x76034),f250(f934(x76033,a922))))) % 209.33/209.63 [7674]~P14(x76743,x76742,x76744)+P14(x76741,x76742,f335(f335(f8(x76743,f934(x76742,x76742),x76741),x76744),x76745)) % 209.33/209.63 [7675]~P16(x76753,x76752,x76754)+P16(x76751,x76752,f335(f335(f8(x76753,f934(x76752,x76752),x76751),x76754),x76755)) % 209.33/209.63 [7810]~P25(x78101,x78102,x78103,x78104)+P25(x78101,x78102,x78103,f335(f335(f23(f934(x78101,a922)),x78104),x78105)) % 209.33/209.63 [7963]~P106(f335(f335(x79633,x79634),x79635))+P106(f335(f335(f265(x79631,x79632,a922),x79633),f335(f335(f260(x79631,x79632),x79634),x79635))) % 209.33/209.63 [8073]~P106(f335(x80732,x80734))+~E(f335(f335(f145(x80731),f335(f196(f928(x80731)),f184(x80731,x80732,x80733))),x80733),f335(f335(f158(x80731),x80734),x80735)) % 209.33/209.63 [8093]P25(x80931,x80932,x80933,x80934)+~P25(x80931,x80932,x80933,f335(f335(f117(f934(x80931,a922)),x80935),x80934)) % 209.33/209.63 [8094]P25(x80941,x80942,x80943,x80944)+~P25(x80941,x80942,x80943,f335(f335(f117(f934(x80941,a922)),x80944),x80945)) % 209.33/209.63 [8140]~P108(x81402)+E(f335(f335(f155(x81401,x81402,x81403),x81404),f157(x81401,x81402,x81403,x81405)),f157(x81401,x81402,x81403,f335(f335(f158(x81401),x81404),x81405))) % 209.33/209.63 [8453]~P14(x84532,x84531,x84533)+E(f335(f149(x84531,x84532,f335(f7(x84532,x84531,x84531),x84533),x84534),x84535),f335(f335(f69(x84532,x84531,x84533),x84534),f335(f179(x84532),x84535))) % 209.33/209.63 [8482]~E(f335(f335(f145(x84821),f335(f196(f928(x84821)),f184(x84821,x84822,x84823))),x84823),f335(f335(f158(x84821),x84824),x84825))+E(f335(f335(f141(x84821),f184(x84821,x84822,x84823)),f335(f335(f158(x84821),x84824),x84825)),x84823) % 209.33/209.63 [8510]P106(f335(f335(x85101,x85102),x85103))+~P106(f335(f335(f265(x85104,x85105,a922),x85101),f335(f335(f260(x85104,x85105),x85102),x85103))) % 209.33/209.63 [8986]P106(f335(f335(f243(f934(x89861,a922)),f335(f318(x89862,x89861,x89863),x89864)),f335(f318(x89862,x89861,x89863),x89865)))+~P106(f335(f335(f243(f934(x89862,a922)),x89864),x89865)) % 209.33/209.63 [8987]P106(f335(f335(f243(f934(x89871,a922)),f335(f319(x89871,x89872,x89873),x89874)),f335(f319(x89871,x89872,x89873),x89875)))+~P106(f335(f335(f243(f934(x89872,a922)),x89874),x89875)) % 209.33/209.63 [9066]E(x90661,f2(a106))+E(f335(f335(f267(x90662,x90663,x90662,f933(x90663,x90662)),f335(x90664,x90665)),f281(x90663,x90662,f335(f335(f23(a106),x90661),f84(a106)),x90664)),f335(f281(x90663,x90662,x90661,x90664),x90665)) % 209.33/209.63 [9177]P106(f335(f335(f263(x91771,x91772,a922,x91773),x91774),x91775))+~P106(f335(x91773,f335(f335(f260(x91771,x91772),x91774),x91775))) % 209.33/209.63 [9449]~P106(f335(f335(f263(x94492,x94493,a922,x94491),x94494),x94495))+P106(f335(x94491,f335(f335(f260(x94492,x94493),x94494),x94495))) % 209.33/209.63 [9629]~P106(f335(f335(f337(x96292),x96295),f335(f318(x96291,x96292,x96294),x96293)))+P106(f335(f335(f337(x96291),f335(f97(x96291,x96292,x96293,x96294),x96295)),x96293)) % 209.33/209.63 [9719]~P106(f335(f66(x97193),f335(f318(x97192,x97193,x97195),f250(f934(x97192,a922)))))+P106(f335(f66(x97191),f335(f318(x97192,x97191,f335(f335(f8(x97193,x97191,x97192),x97194),x97195)),f250(f934(x97192,a922))))) % 209.33/209.63 [9744]P106(f335(f335(f243(f934(f934(x97441,a922),a922)),f335(f318(f934(x97442,a922),f934(x97441,a922),f318(x97442,x97441,x97443)),f335(f316(x97442),x97444))),f335(f316(x97441),x97445)))+~P106(f335(f335(f243(f934(x97441,a922)),f335(f318(x97442,x97441,x97443),x97444)),x97445)) % 209.33/209.63 [9816]E(x98161,x98162)+~P106(f335(f71(x98163,x98164,x98165,x98161,f195(f934(x98163,a922))),x98162)) % 209.33/209.63 [9832]E(f335(f335(f260(x98321,x98322),f542(x98323,x98324,x98325,x98322,x98321)),f543(x98323,x98324,x98325,x98322,x98321)),x98325)+~P106(f335(f335(f337(f933(x98321,x98322)),x98325),f335(f335(f262(x98321,x98322),x98324),x98323))) % 209.33/209.63 [9925]P106(f335(f335(f337(x99251),f542(x99252,x99253,x99254,x99255,x99251)),x99253))+~P106(f335(f335(f337(f933(x99251,x99255)),x99254),f335(f335(f262(x99251,x99255),x99253),x99252))) % 209.33/209.63 [9935]P106(f335(f335(f337(x99351),f551(x99352,x99353,x99354,x99355,x99351)),x99355))+P106(f335(f335(f243(f934(x99354,a922)),f335(f318(x99351,x99354,x99353),x99355)),x99352)) % 209.33/209.63 [10046]P24(x100465,x100464,f335(f335(f317(f926(x100465)),f98(x100465,x100461,x100463,x100462)),f195(f934(f926(x100465),a922))))+P106(f335(f335(x100461,f563(x100462,x100463,x100464,x100465,x100461)),f676(x100462,x100463,x100464,x100465,x100461))) % 209.33/209.63 [10082]P106(f335(f335(f337(x100821),f543(x100822,x100823,x100824,x100821,x100825)),f335(x100822,f542(x100822,x100823,x100824,x100821,x100825))))+~P106(f335(f335(f337(f933(x100825,x100821)),x100824),f335(f335(f262(x100825,x100821),x100823),x100822))) % 209.33/209.63 [10102]P106(f335(f335(f337(f933(x101021,x101021)),f335(f335(f260(x101021,x101021),x101022),f639(x101023,x101024,x101025,x101022,x101021))),x101023))+~P106(f335(f335(f337(f933(x101021,x101021)),f335(f335(f260(x101021,x101021),x101022),x101025)),f335(f335(f190(f933(x101021,x101021),a922),f335(a119,x101024)),x101023))) % 209.33/209.63 [10103]P106(f335(f335(f337(f933(x101031,x101031)),f335(f335(f260(x101031,x101031),x101032),f640(x101033,x101034,x101035,x101032,x101031))),x101033))+~P106(f335(f335(f337(f933(x101031,x101031)),f335(f335(f260(x101031,x101031),x101032),x101035)),f335(f335(f190(f933(x101031,x101031),a922),f335(a119,x101034)),x101033))) % 209.33/209.63 [10109]~P24(x101091,x101092,f335(f335(f317(f926(x101091)),f98(x101091,f99(x101091,x101093,x101094),x101095,x101093)),f195(f934(f926(x101091),a922))))+P24(x101091,x101092,f335(f335(f317(f926(x101091)),f98(x101091,x101093,f31(x101094,x101095),f99(x101091,x101093,f335(f78(a922,a922,a923,a330),x101094)))),f195(f934(f926(x101091),a922)))) % 209.33/209.63 [10121]~P106(f335(f335(f337(f933(f928(x101211),f928(x101211))),f335(f335(f260(f928(x101211),f928(x101211)),f335(f335(f158(x101211),x101212),x101215)),x101214)),f165(x101211,x101213)))+P106(f335(f335(f337(f933(x101211,x101211)),f335(f335(f260(x101211,x101211),x101212),f678(x101213,x101214,x101215,x101212,x101211))),x101213)) % 209.33/209.63 [10143]~P106(f335(f335(f337(x101431),f335(x101433,f551(x101435,x101433,x101431,x101434,x101432))),x101435))+P106(f335(f335(f243(f934(x101431,a922)),f335(f318(x101432,x101431,x101433),x101434)),x101435)) % 209.33/209.63 [10389]P24(x103891,x103892,f335(f335(f317(f926(x103891)),f98(x103891,x103893,x103894,x103895)),f195(f934(f926(x103891),a922))))+~P24(x103891,x103892,f335(f335(f317(f926(x103891)),f98(x103891,f335(f16(f934(a923,a922),x103891),f335(f335(f7(a923,a923,a922),a332),f676(x103895,x103894,x103892,x103891,x103893))),x103894,f335(f16(f934(a923,a922),x103891),f335(x103895,f563(x103895,x103894,x103892,x103891,x103893))))),f195(f934(f926(x103891),a922)))) % 209.33/209.63 [6582]P106(f335(x65822,x65824))+E(f184(x65821,x65822,f335(f335(f141(x65821),x65823),f335(f335(f158(x65821),x65824),x65825))),f184(x65821,x65822,x65823)) % 209.33/209.63 [6631]~P2(x66312)+E(f335(f335(f335(f23(f934(x66311,x66312)),x66313),x66314),x66315),f335(f335(f23(x66312),f335(x66313,x66315)),f335(x66314,x66315))) % 209.33/209.63 [6633]~P96(x66332)+E(f335(f335(f335(f108(f934(x66331,x66332)),x66333),x66334),x66335),f335(f335(f108(x66332),f335(x66333,x66335)),f335(x66334,x66335))) % 209.33/209.63 [6635]~P96(x66352)+E(f335(f335(f335(f117(f934(x66351,x66352)),x66353),x66354),x66355),f335(f335(f117(x66352),f335(x66353,x66355)),f335(x66354,x66355))) % 209.33/209.63 [6652]E(x66521,x66522)+E(f335(f335(f171(x66523),f335(f335(f166(x66523,x66524),x66521),x66525)),x66522),f335(f335(f171(x66523),x66524),x66522)) % 209.33/209.63 [6919]~E(x69194,f195(f934(x69193,a922)))+E(f335(f335(f23(f934(x69191,a922)),x69192),f335(f335(f44(x69193,f934(x69191,a922)),x69194),x69195)),x69192) % 209.33/209.63 [6920]~E(x69204,f195(f934(x69203,a922)))+E(f335(f335(f108(f934(x69201,a922)),x69202),f335(f335(f45(x69203,f934(x69201,a922)),x69204),x69205)),x69202) % 209.33/209.63 [6921]~E(x69214,f195(f934(x69213,a922)))+E(f335(f335(f117(f934(x69211,a922)),x69212),f335(f335(f44(x69213,f934(x69211,a922)),x69214),x69215)),x69212) % 209.33/209.63 [6936]~E(x69364,f195(f934(x69363,a922)))+E(f335(f335(f317(x69361),x69362),f335(f335(f44(x69363,f934(x69361,a922)),x69364),x69365)),f335(f335(f317(x69361),x69362),f195(f934(x69361,a922)))) % 209.33/209.63 [7720]E(f335(f335(f171(x77201),f335(f335(f161(x77202,x77201),x77203),x77204)),x77205),f335(x77203,f335(f335(f171(x77202),x77204),x77205)))+~P106(f335(f335(f244(a927),x77205),f335(f196(f928(x77202)),x77204))) % 209.33/209.63 [7781]E(f335(f335(f108(f934(x77811,a922)),f335(x77812,x77813)),f335(f335(f45(x77814,f934(x77811,a922)),x77815),x77812)),f335(f335(f45(x77814,f934(x77811,a922)),x77815),x77812))+~P106(f335(f335(f337(x77814),x77813),x77815)) % 209.33/209.63 [7782]E(f335(f335(f117(f934(x77821,a922)),f335(x77822,x77823)),f335(f335(f44(x77824,f934(x77821,a922)),x77825),x77822)),f335(f335(f44(x77824,f934(x77821,a922)),x77825),x77822))+~P106(f335(f335(f337(x77824),x77823),x77825)) % 209.33/209.63 [8376]~E(x83763,f195(f934(x83761,a922)))+E(f335(f335(f44(x83761,f934(x83762,a922)),x83763),f335(f335(f8(f934(x83762,a922),f934(x83762,a922),x83761),f335(f317(x83762),x83764)),x83765)),f195(f934(x83762,a922))) % 209.33/209.63 [8381]~P106(f335(f335(f337(x83814),x83813),x83815))+P106(f335(f335(f243(f934(x83811,a922)),f335(x83812,x83813)),f335(f335(f44(x83814,f934(x83811,a922)),x83815),x83812))) % 209.33/209.63 [8509]~E(f335(x85094,x85092),x85095)+P106(f335(f335(f337(x85091),x85092),f335(f319(x85091,x85093,x85094),f335(f335(f317(x85093),x85095),f195(f934(x85093,a922)))))) % 209.33/209.63 [8556]~P55(x85561,x85562,f335(f294(x85562,x85561),x85563))+E(f335(f335(f108(f934(x85561,a922)),f335(f293(x85562,x85561,x85563),x85564)),f335(f293(x85562,x85561,x85563),x85565)),f335(f293(x85562,x85561,x85563),f335(f335(f108(f934(x85562,a922)),x85564),x85565))) % 209.33/209.63 [8631]E(x86311,f2(a106))+E(f335(f125(x86312,x86313,f335(x86314,f335(f335(f23(a106),x86311),f84(a106)))),f335(f335(f7(x86312,a106,f929(x86313)),x86315),x86311)),f335(f207(x86312,x86313,x86314,x86315),x86311)) % 209.33/209.63 [8669]E(x86691,f195(f934(x86692,a922)))+E(f335(f335(f44(x86692,f934(x86693,a922)),x86691),f335(f335(f8(f934(x86693,a922),f934(x86693,a922),x86692),f335(f317(x86693),x86694)),x86695)),f335(f335(f317(x86693),x86694),f335(f335(f44(x86692,f934(x86693,a922)),x86691),x86695))) % 209.33/209.63 [8720]~P25(x87202,x87201,x87203,f250(f934(x87202,a922)))+E(f335(f335(f23(f934(x87201,a922)),f335(f318(x87202,x87201,x87203),x87204)),f335(f318(x87202,x87201,x87203),x87205)),f335(f318(x87202,x87201,x87203),f335(f335(f23(f934(x87202,a922)),x87204),x87205))) % 209.33/209.63 [8721]~P25(x87212,x87211,x87213,f250(f934(x87212,a922)))+E(f335(f335(f108(f934(x87211,a922)),f335(f318(x87212,x87211,x87213),x87214)),f335(f318(x87212,x87211,x87213),x87215)),f335(f318(x87212,x87211,x87213),f335(f335(f108(f934(x87212,a922)),x87214),x87215))) % 209.33/209.63 [8789]~P106(f335(f335(f72(x87891,x87892,x87895),x87893),x87894))+P106(f335(f335(f337(f933(x87891,x87892)),f335(f335(f260(x87891,x87892),x87893),x87894)),x87895)) % 209.33/209.63 [8821]P106(f335(f335(f337(x88211),x88212),f335(f292(x88213,x88211),x88214)))+~P106(f335(f335(f337(f933(x88213,x88211)),f335(f335(f260(x88213,x88211),x88215),x88212)),x88214)) % 209.33/209.63 [8823]P106(f335(f335(f337(x88231),x88232),f335(f272(x88231,x88233),x88234)))+~P106(f335(f335(f337(f933(x88231,x88233)),f335(f335(f260(x88231,x88233),x88232),x88235)),x88234)) % 209.33/209.63 [8970]P106(f335(f335(f72(x89701,x89702,x89703),x89704),x89705))+~P106(f335(f335(f337(f933(x89701,x89702)),f335(f335(f260(x89701,x89702),x89704),x89705)),x89703)) % 209.33/209.63 [9009]E(f335(x90091,x90092),x90093)+~P106(f335(f335(f337(x90094),x90092),f335(f319(x90094,x90095,x90091),f335(f335(f317(x90095),x90093),f195(f934(x90095,a922)))))) % 209.33/209.63 [9241]P106(f335(f335(f337(f933(x92411,x92412)),f335(f335(f260(x92411,x92412),x92413),x92414)),f335(f294(x92412,x92411),x92415)))+~P106(f335(f335(f337(f933(x92412,x92411)),f335(f335(f260(x92412,x92411),x92414),x92413)),x92415)) % 209.33/209.63 [9259]~P106(f335(f335(x92591,x92595),x92594))+P106(f335(f335(x92591,f335(f264(x92592,x92593),f335(f335(f260(x92592,x92593),x92594),x92595))),f335(f259(x92592,x92593),f335(f335(f260(x92592,x92593),x92594),x92595)))) % 209.33/209.63 [9289]~P106(f335(f335(f337(f933(x92892,x92891)),f335(f335(f260(x92892,x92891),x92894),x92893)),f335(f294(x92891,x92892),x92895)))+P106(f335(f335(f337(f933(x92891,x92892)),f335(f335(f260(x92891,x92892),x92893),x92894)),x92895)) % 209.33/209.63 [9322]~P106(f335(f335(f337(f933(x93223,x93221)),f335(f335(f260(x93223,x93221),x93225),x93222)),x93224))+P106(f335(f335(f337(x93221),x93222),f335(f293(x93223,x93221,x93224),f335(f335(f317(x93223),x93225),f195(f934(x93223,a922)))))) % 209.33/209.63 [9369]P106(f335(f335(f337(f933(x93691,x93692)),f335(f335(f260(x93691,x93692),x93693),x93694)),x93695))+~P106(f335(f335(f337(x93692),x93694),f335(f293(x93691,x93692,x93695),f335(f335(f317(x93691),x93693),f195(f934(x93691,a922)))))) % 209.33/209.63 [9456]~P75(x94561)+E(f335(f335(f6(a927,x94561),x94562),f311(a927,f335(f335(f86(a927),x94563),x94564),f335(f335(f86(a927),x94565),x94564))),f335(f335(f6(a927,x94561),f335(f335(f8(a927,x94561,a927),x94562),f335(f335(f7(a927,a927,a927),f86(a927)),x94564))),f311(a927,x94563,x94565))) % 209.33/209.63 [9475]~P75(x94751)+E(f335(f335(f6(a927,x94751),x94752),f335(f310(a927,f335(f335(f86(a927),x94753),x94754)),f335(f335(f86(a927),x94755),x94754))),f335(f335(f6(a927,x94751),f335(f335(f8(a927,x94751,a927),x94752),f335(f335(f7(a927,a927,a927),f86(a927)),x94754))),f335(f310(a927,x94753),x94755))) % 209.33/209.63 [9531]~P25(x95311,x95312,x95313,f250(f934(x95311,a922)))+E(f335(f335(f161(x95311,x95312),x95313),f335(f143(x95311,f335(f335(f8(a922,a922,x95311),a330),f335(a332,x95314))),x95315)),f335(f143(x95312,f335(f335(f8(a922,a922,x95312),a330),f335(a332,f335(x95313,x95314)))),f335(f335(f161(x95311,x95312),x95313),x95315))) % 209.33/209.63 [9549]~P25(x95491,x95492,x95493,f335(f335(f317(x95491),x95494),f335(f179(x95491),x95495)))+E(f335(f335(f161(x95491,x95492),x95493),f335(f143(x95491,f335(f335(f8(a922,a922,x95491),a330),f335(a332,x95494))),x95495)),f335(f143(x95492,f335(f335(f8(a922,a922,x95492),a330),f335(a332,f335(x95493,x95494)))),f335(f335(f161(x95491,x95492),x95493),x95495))) % 209.33/209.63 [9707]P106(f335(f335(f337(f933(f928(x97071),f928(x97071))),f335(f335(f260(f928(x97071),f928(x97071)),f335(f335(f158(x97071),x97072),x97073)),f335(f335(f158(x97071),x97074),x97073))),f164(x97071,x97075)))+~P106(f335(f335(f337(f933(x97071,x97071)),f335(f335(f260(x97071,x97071),x97072),x97074)),x97075)) % 209.33/209.63 [9827]E(f335(f335(f317(x98271),f851(x98272,x98273,x98274,x98275,x98271)),f876(x98272,x98273,x98274,x98275,x98271)),f335(f335(f317(x98271),x98274),x98273))+~P106(f335(f67(x98271,x98275,f335(f335(f317(x98271),x98274),x98273)),x98272)) % 209.33/209.63 [9828]E(f335(f335(f317(x98281),f879(x98282,x98283,x98284,x98285,x98281)),f880(x98282,x98283,x98284,x98285,x98281)),f335(f335(f317(x98281),x98284),x98283))+~P106(f335(f67(x98281,x98285,f335(f335(f317(x98281),x98284),x98283)),x98282)) % 209.33/209.63 [9910]P106(f335(f335(f337(x99101),f656(x99102,x99103,x99104,x99105,x99101)),x99104))+P106(f335(f335(f335(f45(x99101,f934(x99105,a922)),x99104),x99103),x99102)) % 209.33/209.63 [9915]P106(f335(f335(f337(x99151),f653(x99152,x99153,x99151,x99154,x99155)),x99153))+P106(f335(f335(f337(x99155),x99154),f335(f335(f45(x99151,f934(x99155,a922)),x99153),x99152))) % 209.33/209.63 [9923]P106(f335(f335(f337(x99231),f654(x99232,x99233,x99231,x99234,x99235)),x99233))+P106(f335(f335(f243(f934(x99235,a922)),x99234),f335(f335(f45(x99231,f934(x99235,a922)),x99233),x99232))) % 209.33/209.63 [9924]P106(f335(f335(f337(x99241),f854(x99242,x99243,x99244,x99245,x99241)),x99245))+P106(f335(f335(f243(f934(x99244,a922)),x99243),f335(f335(f45(x99241,f934(x99244,a922)),x99245),x99242))) % 209.33/209.63 [9926]P106(f335(f335(x99261,f619(x99262,x99261,x99263,x99264,x99265)),x99262))+~P106(f335(f335(f335(f44(x99265,f934(x99264,a922)),x99263),x99261),x99262)) % 209.33/209.63 [9930]P106(f335(f335(f337(x99301),f619(x99302,x99303,x99304,x99305,x99301)),x99304))+~P106(f335(f335(f335(f44(x99301,f934(x99305,a922)),x99304),x99303),x99302)) % 209.33/209.63 [9931]P53(x99314,f335(f335(f45(x99311,f934(x99314,a922)),x99315),x99313),f335(f335(f45(x99311,f934(f933(x99314,x99314),a922)),x99315),x99312))+P106(f335(f335(f337(x99311),f801(x99312,x99313,x99314,x99315,x99311)),x99315)) % 209.33/209.63 [9932]P53(x99324,f335(f335(f44(x99321,f934(x99324,a922)),x99325),x99323),f335(f335(f44(x99321,f934(f933(x99324,x99324),a922)),x99325),x99322))+P106(f335(f335(f337(x99321),f847(x99322,x99323,x99324,x99325,x99321)),x99325)) % 209.33/209.63 [9943]P106(f335(f335(f337(x99431),f686(x99432,x99433,x99431,x99434,x99435)),x99433))+~P106(f335(f335(f337(x99435),x99434),f335(f335(f44(x99431,f934(x99435,a922)),x99433),x99432))) % 209.33/209.63 [9949]P106(f335(f335(f337(x99491),x99492),f335(x99493,f686(x99493,x99494,x99495,x99492,x99491))))+~P106(f335(f335(f337(x99491),x99492),f335(f335(f44(x99495,f934(x99491,a922)),x99494),x99493))) % 209.33/209.63 [10030]~P106(f335(f335(x100304,f656(x100305,x100304,x100303,x100302,x100301)),x100305))+P106(f335(f335(f335(f45(x100301,f934(x100302,a922)),x100303),x100304),x100305)) % 209.33/209.63 [10033]~P106(f335(f335(f337(x100331),x100332),f335(x100335,f653(x100335,x100334,x100333,x100332,x100331))))+P106(f335(f335(f337(x100331),x100332),f335(f335(f45(x100333,f934(x100331,a922)),x100334),x100335))) % 209.33/209.63 [10037]~P53(x100371,f335(x100374,f847(x100375,x100374,x100371,x100373,x100372)),f335(x100375,f847(x100375,x100374,x100371,x100373,x100372)))+P53(x100371,f335(f335(f44(x100372,f934(x100371,a922)),x100373),x100374),f335(f335(f44(x100372,f934(f933(x100371,x100371),a922)),x100373),x100375)) % 209.33/209.63 [10038]~P53(x100381,f335(x100384,f801(x100385,x100384,x100381,x100383,x100382)),f335(x100385,f801(x100385,x100384,x100381,x100383,x100382)))+P53(x100381,f335(f335(f45(x100382,f934(x100381,a922)),x100383),x100384),f335(f335(f45(x100382,f934(f933(x100381,x100381),a922)),x100383),x100385)) % 209.33/209.63 [10039]~P106(f335(f335(f243(f934(x100391,a922)),x100392),f335(x100395,f654(x100395,x100394,x100393,x100392,x100391))))+P106(f335(f335(f243(f934(x100391,a922)),x100392),f335(f335(f45(x100393,f934(x100391,a922)),x100394),x100395))) % 209.33/209.63 [10040]~P106(f335(f335(f243(f934(x100401,a922)),x100402),f335(x100405,f854(x100405,x100402,x100401,x100404,x100403))))+P106(f335(f335(f243(f934(x100401,a922)),x100402),f335(f335(f45(x100403,f934(x100401,a922)),x100404),x100405))) % 209.33/209.63 [10106]~P106(f335(f335(f337(x101061),f851(x101065,x101064,x101063,x101062,x101061)),f876(x101065,x101064,x101063,x101062,x101061)))+~P106(f335(f67(x101061,x101062,f335(f335(f317(x101061),x101063),x101064)),x101065)) % 209.33/209.63 [10107]~P106(f335(f335(f337(x101071),f879(x101075,x101074,x101073,x101072,x101071)),f880(x101075,x101074,x101073,x101072,x101071)))+~P106(f335(f67(x101071,x101072,f335(f335(f317(x101071),x101073),x101074)),x101075)) % 209.33/209.63 [10108]~P106(f335(f335(f337(f933(x101081,x101081)),f335(f335(f260(x101081,x101081),x101082),x101085)),f335(f335(f190(f933(x101081,x101081),a922),f335(a119,x101084)),x101083)))+P106(f335(f335(f337(f933(x101081,x101081)),f335(f335(f260(x101081,x101081),x101082),f641(x101083,x101084,x101085,x101082,x101081))),f335(f335(f190(f933(x101081,x101081),a922),x101084),x101083))) % 209.33/209.63 [10115]P106(f335(f71(x101151,x101151,x101152,f851(x101153,x101154,x101155,x101152,x101151),f876(x101153,x101154,x101155,x101152,x101151)),x101153))+~P106(f335(f67(x101151,x101152,f335(f335(f317(x101151),x101155),x101154)),x101153)) % 209.33/209.63 [10116]P106(f335(f71(x101161,x101161,x101162,f879(x101163,x101164,x101165,x101162,x101161),f880(x101163,x101164,x101165,x101162,x101161)),x101163))+~P106(f335(f67(x101161,x101162,f335(f335(f317(x101161),x101165),x101164)),x101163)) % 209.33/209.63 [10126]~P108(x101261)+P13(x101261,f335(f335(f161(x101262,x101261),x101263),f335(f143(x101262,f335(f335(f7(x101262,x101261,a922),f335(f335(f8(x101261,f934(x101261,a922),x101262),a332),x101263)),f335(x101264,x101265))),x101265))) % 209.33/209.63 [10178]~P106(f335(f335(f337(x101782),x101785),f335(f293(x101781,x101782,x101784),x101783)))+P106(f335(f335(f337(f933(x101781,x101782)),f335(f335(f260(x101781,x101782),f767(x101783,x101784,x101781,x101785,x101782)),x101785)),x101784)) % 209.33/209.63 [10179]~P106(f335(f335(f337(x101792),x101795),f335(f293(x101791,x101792,x101794),x101793)))+P106(f335(f335(f337(f933(x101791,x101792)),f335(f335(f260(x101791,x101792),f852(x101793,x101794,x101791,x101795,x101792)),x101795)),x101794)) % 209.33/209.63 [10199]~P106(f335(f335(f337(f933(x101991,x101991)),f335(f335(f260(x101991,x101991),x101995),x101994)),f335(f335(f190(f933(x101991,x101991),a922),f335(a119,x101993)),x101992)))+P106(f335(f335(f337(f933(x101991,x101991)),f335(f335(f260(x101991,x101991),f641(x101992,x101993,x101994,x101995,x101991)),x101994)),x101992)) % 209.33/209.63 [10202]~P106(f335(f335(f337(f933(x102021,x102021)),f335(f335(f260(x102021,x102021),x102025),x102024)),f335(f335(f190(f933(x102021,x102021),a922),f335(a119,x102023)),x102022)))+P106(f335(f335(f337(f933(x102021,x102021)),f335(f335(f260(x102021,x102021),f639(x102022,x102023,x102024,x102025,x102021)),x102024)),f335(f335(f190(f933(x102021,x102021),a922),x102023),x102022))) % 209.33/209.63 [10203]~P106(f335(f335(f337(f933(x102031,x102031)),f335(f335(f260(x102031,x102031),x102035),x102034)),f335(f335(f190(f933(x102031,x102031),a922),f335(a119,x102033)),x102032)))+P106(f335(f335(f337(f933(x102031,x102031)),f335(f335(f260(x102031,x102031),f640(x102032,x102033,x102034,x102035,x102031)),x102034)),f335(f335(f190(f933(x102031,x102031),a922),x102033),x102032))) % 209.33/209.63 [10204]~P106(f335(f335(f337(f933(f928(x102041),f928(x102041))),f335(f335(f260(f928(x102041),f928(x102041)),x102045),f335(f335(f158(x102041),x102044),x102043))),f165(x102041,x102042)))+P106(f335(f335(f337(f933(x102041,x102041)),f335(f335(f260(x102041,x102041),f675(x102042,x102043,x102044,x102045,x102041)),x102044)),x102042)) % 209.33/209.63 [7802]~E(x78023,f195(f934(x78022,a922)))+E(f335(f335(f108(f934(x78021,a922)),f335(f335(f45(x78022,f934(x78021,a922)),x78023),x78024)),x78025),x78025) % 209.33/209.63 [7803]~E(x78033,f195(f934(x78032,a922)))+E(f335(f335(f117(f934(x78031,a922)),f335(f335(f44(x78032,f934(x78031,a922)),x78033),x78034)),x78035),x78035) % 209.33/209.63 [8222]~E(x82223,f195(f934(x82222,a922)))+E(f335(f335(f23(f934(x82221,a922)),f335(f335(f45(x82222,f934(x82221,a922)),x82223),x82224)),x82225),f335(f335(f23(f934(x82221,a922)),f250(f934(x82221,a922))),x82225)) % 209.33/209.63 [8350]E(f335(f335(f166(x83501,f335(f335(f141(x83501),x83502),x83503)),x83504),x83505),f335(f335(f141(x83501),f335(f335(f166(x83501,x83502),x83504),x83505)),x83503))+~P106(f335(f335(f244(a927),x83504),f335(f196(f928(x83501)),x83502))) % 209.33/209.63 [8621]E(f335(f335(f171(x86211),f335(f335(f161(a927,x86211),x86212),f146(a927,f335(f310(a927,x86213),x86214)))),x86215),f335(x86212,f335(f335(f86(a927),x86213),x86215)))+~P106(f335(f335(f244(a927),x86215),f335(f335(f23(a927),x86214),x86213))) % 209.33/209.63 [8635]E(x86351,f2(a106))+E(f129(x86352,x86353,f335(x86354,f335(f335(f23(a106),x86351),f84(a106))),f335(f335(f7(x86352,a106,f929(f931(x86353))),x86355),x86351)),f335(f205(x86352,x86353,x86354,x86355),x86351)) % 209.33/209.63 [8659]~E(x86593,f195(f934(x86591,a922)))+E(f335(f335(f44(x86591,f934(x86592,a922)),x86593),f335(f335(f8(f934(x86592,a922),f934(x86592,a922),x86591),f335(f117(f934(x86592,a922)),x86594)),x86595)),f195(f934(x86592,a922))) % 209.33/209.63 [8660]~E(x86603,f195(f934(x86601,a922)))+E(f335(f335(f45(x86601,f934(x86602,a922)),x86603),f335(f335(f8(f934(x86602,a922),f934(x86602,a922),x86601),f335(f23(f934(x86602,a922)),x86604)),x86605)),f250(f934(x86602,a922))) % 209.33/209.63 [8661]~E(x86613,f195(f934(x86611,a922)))+E(f335(f335(f45(x86611,f934(x86612,a922)),x86613),f335(f335(f8(f934(x86612,a922),f934(x86612,a922),x86611),f335(f108(f934(x86612,a922)),x86614)),x86615)),f250(f934(x86612,a922))) % 209.33/209.63 [8663]~P145(x86632)+E(f335(f335(f6(x86631,x86632),f335(f335(f8(x86632,x86632,x86631),f335(f87(x86632),x86633)),x86634)),x86635),f335(f335(f87(x86632),x86633),f335(f335(f6(x86631,x86632),x86634),x86635))) % 209.33/209.63 [8954]E(x89541,f195(f934(x89542,a922)))+E(f335(f335(f44(x89542,f934(x89543,a922)),x89541),f335(f335(f8(f934(x89543,a922),f934(x89543,a922),x89542),f335(f117(f934(x89543,a922)),x89544)),x89545)),f335(f335(f117(f934(x89543,a922)),x89544),f335(f335(f44(x89542,f934(x89543,a922)),x89541),x89545))) % 209.33/209.63 [8955]E(x89551,f195(f934(x89552,a922)))+E(f335(f335(f45(x89552,f934(x89553,a922)),x89551),f335(f335(f8(f934(x89553,a922),f934(x89553,a922),x89552),f335(f23(f934(x89553,a922)),x89554)),x89555)),f335(f335(f23(f934(x89553,a922)),x89554),f335(f335(f44(x89552,f934(x89553,a922)),x89551),x89555))) % 209.33/209.63 [8956]E(x89561,f195(f934(x89562,a922)))+E(f335(f335(f45(x89562,f934(x89563,a922)),x89561),f335(f335(f8(f934(x89563,a922),f934(x89563,a922),x89562),f335(f108(f934(x89563,a922)),x89564)),x89565)),f335(f335(f108(f934(x89563,a922)),x89564),f335(f335(f45(x89562,f934(x89563,a922)),x89561),x89565))) % 209.33/209.63 [9159]~P106(f335(f335(f244(a927),f335(x91594,x91592)),f335(x91594,x91593)))+P106(f335(f335(f337(f933(x91591,x91591)),f335(f335(f260(x91591,x91591),x91592),x91593)),f160(x91591,f335(f335(f158(f934(x91591,a927)),x91594),x91595)))) % 209.33/209.63 [9422]~P25(x94222,x94221,x94223,f335(f335(f117(f934(x94222,a922)),x94224),x94225))+E(f335(f335(f108(f934(x94221,a922)),f335(f318(x94222,x94221,x94223),f335(f335(f23(f934(x94222,a922)),x94224),x94225))),f335(f318(x94222,x94221,x94223),f335(f335(f23(f934(x94222,a922)),x94225),x94224))),f195(f934(x94221,a922))) % 209.33/209.63 [9673]~P25(x96733,x96731,x96735,f250(f934(x96733,a922)))+E(f335(f78(x96731,x96732,x96733,f335(f78(x96733,x96732,x96731,x96734),f97(x96733,x96731,f250(f934(x96733,a922)),x96735))),x96735),x96734) % 209.33/209.63 [9703]~P106(f335(f335(f243(f934(x97033,a922)),f335(f293(x97031,x97033,x97034),x97032)),x97035))+P106(f335(f335(f243(f934(x97031,a922)),x97032),f335(f85(f934(x97031,a922)),f335(f293(x97033,x97031,f335(f294(x97031,x97033),x97034)),f335(f85(f934(x97033,a922)),x97035))))) % 209.33/209.63 [9728]~P25(x97281,x97282,x97283,f335(f335(f317(x97281),x97284),x97285))+~P106(f335(f335(f337(x97282),f335(x97283,x97284)),f335(f318(x97281,x97282,x97283),f335(f335(f23(f934(x97281,a922)),x97285),f335(f335(f317(x97281),x97284),f195(f934(x97281,a922))))))) % 209.33/209.63 [9781]P106(f335(f335(f243(f934(x97811,a922)),f335(f293(x97812,x97811,x97813),x97814)),x97815))+~P106(f335(f335(f243(f934(x97812,a922)),x97814),f335(f85(f934(x97812,a922)),f335(f293(x97811,x97812,f335(f294(x97812,x97811),x97813)),f335(f85(f934(x97811,a922)),x97815))))) % 209.33/209.63 [9854]~P85(x98541)+P106(f335(f335(f243(x98541),f335(f81(x98541),f335(f335(f23(x98541),f335(f335(f86(x98541),x98542),x98543)),f335(f335(f86(x98541),x98544),x98545)))),f335(f335(f86(x98541),f335(f81(x98541),f335(f335(f23(x98541),x98542),x98544))),f335(f81(x98541),f335(f335(f23(x98541),x98543),x98545))))) % 209.33/209.63 [9964]P106(f335(f335(f337(x99641),f718(x99642,x99643,x99644,x99641,x99645)),x99644))+P106(f335(f335(f243(f934(x99645,a922)),f335(f335(f44(x99641,f934(x99645,a922)),x99644),x99643)),x99642)) % 209.33/209.63 [10145]~P106(f335(f335(f243(f934(x101451,a922)),f335(x101454,f718(x101455,x101454,x101453,x101452,x101451))),x101455))+P106(f335(f335(f243(f934(x101451,a922)),f335(f335(f44(x101452,f934(x101451,a922)),x101453),x101454)),x101455)) % 209.33/209.63 [8768]E(f335(f335(f141(x87681),x87682),f335(f335(f166(x87681,x87683),f335(f335(f23(a927),x87684),f335(f196(f928(x87681)),x87682))),x87685)),f335(f335(f166(x87681,f335(f335(f141(x87681),x87682),x87683)),x87684),x87685))+P106(f335(f335(f244(a927),x87684),f335(f196(f928(x87681)),x87682))) % 209.33/209.63 [8796]~P141(x87961)+E(f335(f335(f86(x87961),f335(f335(f87(x87961),x87962),x87963)),f335(f335(f86(x87961),f335(f335(f87(x87961),x87964),x87963)),x87965)),f335(f335(f86(x87961),f335(f335(f87(x87961),f335(f335(f86(x87961),x87962),x87964)),x87963)),x87965)) % 209.33/209.63 [9378]~P145(x93781)+E(f335(f172(x93781),f335(f335(f161(x93782,x93781),f335(f335(f8(x93781,x93781,x93782),f335(f87(x93781),x93783)),x93784)),x93785)),f335(f335(f87(x93781),x93783),f335(f172(x93781),f335(f335(f161(x93782,x93781),x93784),x93785)))) % 209.33/209.63 [9548]E(f335(f196(f928(x95481)),f335(f335(f182(x95481),f335(f335(f241(a927),f335(f196(f928(x95481)),x95482)),f335(f196(f928(x95483)),x95484))),x95482)),f335(f196(f928(x95483)),f335(f335(f182(x95483),f335(f335(f241(a927),f335(f196(f928(x95481)),x95482)),f335(f196(f928(x95483)),x95484))),x95484)))+P106(f335(x95485,f335(f335(f188(x95481,x95483),x95482),x95484))) % 209.33/209.63 [9791]~P145(x97912)+E(f335(f335(f6(x97911,x97912),f335(f335(f7(x97911,x97912,x97912),f335(f335(f8(x97912,f934(x97912,x97912),x97911),f87(x97912)),x97913)),x97914)),x97915),f335(f335(f87(x97912),f335(f335(f6(x97911,x97912),x97913),x97915)),x97914)) % 209.33/209.63 [9792]~P66(x97922)+E(f335(f335(f6(x97921,x97922),f335(f335(f7(x97921,x97922,x97922),f335(f335(f8(x97922,f934(x97922,x97922),x97921),f299(x97922)),x97923)),x97924)),x97925),f335(f335(f299(x97922),f335(f335(f6(x97921,x97922),x97923),x97925)),x97924)) % 209.33/209.63 [9799]~P4(x97992)+E(f335(f335(f6(x97991,x97992),f335(f335(f18(x97991,x97992,x97992),f335(f335(f8(x97992,f934(x97992,x97992),x97991),f23(x97992)),x97993)),x97994)),x97995),f335(f335(f23(x97992),f335(f335(f6(x97991,x97992),x97993),x97995)),f335(f335(f6(x97991,x97992),x97994),x97995))) % 209.33/209.63 [9800]~P75(x98002)+E(f335(f335(f6(x98001,x98002),f335(f335(f18(x98001,x98002,x98002),f335(f335(f8(x98002,f934(x98002,x98002),x98001),f86(x98002)),x98003)),x98004)),x98005),f335(f335(f86(x98002),f335(f335(f6(x98001,x98002),x98003),x98005)),f335(f335(f6(x98001,x98002),x98004),x98005))) % 209.33/209.63 [9801]~P71(x98012)+E(f335(f335(f9(x98011,x98012),f335(f335(f18(x98011,x98012,x98012),f335(f335(f8(x98012,f934(x98012,x98012),x98011),f87(x98012)),x98013)),x98014)),x98015),f335(f335(f87(x98012),f335(f335(f9(x98011,x98012),x98013),x98015)),f335(f335(f9(x98011,x98012),x98014),x98015))) % 209.33/209.63 [9839]~E(x98393,f195(f934(x98391,a922)))+E(f335(f335(f44(x98391,f934(x98392,a922)),x98393),f335(f335(f7(x98391,f934(x98392,a922),f934(x98392,a922)),f335(f335(f8(f934(x98392,a922),f934(f934(x98392,a922),f934(x98392,a922)),x98391),f117(f934(x98392,a922))),x98394)),x98395)),f195(f934(x98392,a922))) % 209.33/209.63 [9840]~E(x98403,f195(f934(x98401,a922)))+E(f335(f335(f45(x98401,f934(x98402,a922)),x98403),f335(f335(f7(x98401,f934(x98402,a922),f934(x98402,a922)),f335(f335(f8(f934(x98402,a922),f934(f934(x98402,a922),f934(x98402,a922)),x98401),f23(f934(x98402,a922))),x98404)),x98405)),f250(f934(x98402,a922))) % 209.33/209.63 [9841]~E(x98413,f195(f934(x98411,a922)))+E(f335(f335(f45(x98411,f934(x98412,a922)),x98413),f335(f335(f7(x98411,f934(x98412,a922),f934(x98412,a922)),f335(f335(f8(f934(x98412,a922),f934(f934(x98412,a922),f934(x98412,a922)),x98411),f108(f934(x98412,a922))),x98414)),x98415)),f250(f934(x98412,a922))) % 209.33/209.63 [9862]E(x98621,f195(f934(x98622,a922)))+E(f335(f335(f44(x98622,f934(x98623,a922)),x98621),f335(f335(f7(x98622,f934(x98623,a922),f934(x98623,a922)),f335(f335(f8(f934(x98623,a922),f934(f934(x98623,a922),f934(x98623,a922)),x98622),f117(f934(x98623,a922))),x98624)),x98625)),f335(f335(f117(f934(x98623,a922)),f335(f335(f44(x98622,f934(x98623,a922)),x98621),x98624)),x98625)) % 209.33/209.63 [9863]E(x98631,f195(f934(x98632,a922)))+E(f335(f335(f45(x98632,f934(x98633,a922)),x98631),f335(f335(f7(x98632,f934(x98633,a922),f934(x98633,a922)),f335(f335(f8(f934(x98633,a922),f934(f934(x98633,a922),f934(x98633,a922)),x98632),f23(f934(x98633,a922))),x98634)),x98635)),f335(f335(f23(f934(x98633,a922)),f335(f335(f45(x98632,f934(x98633,a922)),x98631),x98634)),x98635)) % 209.33/209.63 [9864]E(x98641,f195(f934(x98642,a922)))+E(f335(f335(f45(x98642,f934(x98643,a922)),x98641),f335(f335(f7(x98642,f934(x98643,a922),f934(x98643,a922)),f335(f335(f8(f934(x98643,a922),f934(f934(x98643,a922),f934(x98643,a922)),x98642),f108(f934(x98643,a922))),x98644)),x98645)),f335(f335(f108(f934(x98643,a922)),f335(f335(f45(x98642,f934(x98643,a922)),x98641),x98644)),x98645)) % 209.33/209.63 [9427]~P106(f335(f335(f243(a927),x94271),x94274))+E(f335(f335(f23(a927),f335(f335(f86(a927),f335(f335(f87(a927),x94271),x94272)),x94273)),f335(f335(f86(a927),f335(f335(f87(a927),x94274),x94272)),x94275)),f335(f335(f23(a927),x94273),f335(f335(f86(a927),f335(f335(f87(a927),f335(f335(f23(a927),x94274),x94271)),x94272)),x94275))) % 209.33/209.63 [10013]~P145(x100131)+E(f335(f172(x100131),f335(f335(f161(x100132,x100131),f335(f335(f7(x100132,x100131,x100131),f335(f335(f8(x100131,f934(x100131,x100131),x100132),f87(x100131)),x100133)),x100134)),x100135)),f335(f335(f87(x100131),f335(f172(x100131),f335(f335(f161(x100132,x100131),x100133),x100135))),x100134)) % 209.33/209.63 [10019]~P4(x100191)+E(f335(f172(x100191),f335(f335(f161(x100192,x100191),f335(f335(f18(x100192,x100191,x100191),f335(f335(f8(x100191,f934(x100191,x100191),x100192),f23(x100191)),x100193)),x100194)),x100195)),f335(f335(f23(x100191),f335(f172(x100191),f335(f335(f161(x100192,x100191),x100193),x100195))),f335(f172(x100191),f335(f335(f161(x100192,x100191),x100194),x100195)))) % 209.33/209.63 [10020]~P75(x100201)+E(f335(f172(x100201),f335(f335(f161(x100202,x100201),f335(f335(f18(x100202,x100201,x100201),f335(f335(f8(x100201,f934(x100201,x100201),x100202),f86(x100201)),x100203)),x100204)),x100205)),f335(f335(f86(x100201),f335(f172(x100201),f335(f335(f161(x100202,x100201),x100203),x100205))),f335(f172(x100201),f335(f335(f161(x100202,x100201),x100204),x100205)))) % 209.33/209.63 [10170]P106(f335(x101701,f335(f335(f188(x101702,x101703),x101704),x101705)))+~P106(f335(x101701,f335(f335(f188(x101702,x101703),f335(f335(f182(x101702),f335(f335(f241(a927),f335(f196(f928(x101702)),x101704)),f335(f196(f928(x101703)),x101705))),x101704)),f335(f335(f182(x101703),f335(f335(f241(a927),f335(f196(f928(x101702)),x101704)),f335(f196(f928(x101703)),x101705))),x101705)))) % 209.33/209.63 [10436]~P106(f335(f335(f337(f933(x104362,x104361)),f335(f335(f260(x104362,x104361),x104364),x104365)),f335(f294(x104361,x104362),x104363)))+P106(f335(f335(f251(x104361,x104362,f335(f335(f7(x104361,f934(f933(x104361,x104362),a922),f934(x104362,a922)),f335(f335(f8(f934(x104362,f934(f934(f933(x104361,x104362),a922),a922)),f934(f934(f933(x104361,x104362),a922),f934(x104362,a922)),x104361),f7(x104362,f934(f933(x104361,x104362),a922),a922)),f335(f335(f8(f934(x104362,f933(x104361,x104362)),f934(x104362,f934(f934(f933(x104361,x104362),a922),a922)),x104361),f335(f8(f933(x104361,x104362),f934(f934(f933(x104361,x104362),a922),a922),x104362),f337(f933(x104361,x104362)))),f260(x104361,x104362)))),x104363)),x104364),x104365)) % 209.33/209.63 [10446]P106(f335(f335(f337(f933(x104461,x104462)),f335(f335(f260(x104461,x104462),x104463),x104464)),f335(f294(x104462,x104461),x104465)))+~P106(f335(f335(f251(x104462,x104461,f335(f335(f7(x104462,f934(f933(x104462,x104461),a922),f934(x104461,a922)),f335(f335(f8(f934(x104461,f934(f934(f933(x104462,x104461),a922),a922)),f934(f934(f933(x104462,x104461),a922),f934(x104461,a922)),x104462),f7(x104461,f934(f933(x104462,x104461),a922),a922)),f335(f335(f8(f934(x104461,f933(x104462,x104461)),f934(x104461,f934(f934(f933(x104462,x104461),a922),a922)),x104462),f335(f8(f933(x104462,x104461),f934(f934(f933(x104462,x104461),a922),a922),x104461),f337(f933(x104462,x104461)))),f260(x104462,x104461)))),x104465)),x104463),x104464)) % 209.33/209.63 [9672]~P106(f335(f335(f243(a927),x96724),x96721))+E(f335(f335(f23(a927),f335(f335(f86(a927),f335(f335(f87(a927),x96721),x96722)),x96723)),f335(f335(f86(a927),f335(f335(f87(a927),x96724),x96722)),x96725)),f335(f335(f23(a927),f335(f335(f86(a927),f335(f335(f87(a927),f335(f335(f23(a927),x96721),x96724)),x96722)),x96723)),x96725)) % 209.33/209.63 [5502]E(x55021,x55022)+~E(f29(x55023,x55024,x55021),f29(x55025,x55026,x55022)) % 209.33/209.63 [5503]E(x55031,x55032)+~E(f29(x55033,x55031,x55034),f29(x55035,x55032,x55036)) % 209.33/209.63 [5504]E(x55041,x55042)+~E(f29(x55041,x55043,x55044),f29(x55042,x55045,x55046)) % 209.33/209.63 [5505]E(x55051,x55052)+~E(f28(x55053,x55054,x55051),f28(x55055,x55056,x55052)) % 209.33/209.63 [5506]E(x55061,x55062)+~E(f28(x55063,x55061,x55064),f28(x55065,x55062,x55066)) % 209.33/209.63 [5507]E(x55071,x55072)+~E(f28(x55071,x55073,x55074),f28(x55072,x55075,x55076)) % 209.33/209.63 [7501]E(x75011,x75012)+~E(f229(x75013,x75014,x75015,x75011),f229(x75013,x75014,x75016,x75012)) % 209.33/209.63 [7502]E(x75021,x75022)+~E(f229(x75023,x75024,x75021,x75025),f229(x75023,x75024,x75022,x75026)) % 209.33/209.63 [8605]~P19(x86055,x86051,x86052,x86056)+E(f335(f78(x86051,x86051,x86051,f335(x86052,x86053)),f335(x86052,x86054)),f335(f78(x86051,x86051,x86051,f335(x86052,x86054)),f335(x86052,x86053))) % 209.33/209.63 [8840]~P57(x88404,x88405,x88402,x88401,x88406)+E(f335(x88401,f335(x88402,x88403)),x88403) % 209.33/209.63 [9007]P25(x90071,x90072,x90073,x90074)+~P25(x90071,x90075,f335(f78(x90072,x90075,x90071,x90076),x90073),x90074) % 209.33/209.63 [9080]~E(x90806,x90804)+E(f335(f80(x90801,x90802,x90803,x90804,x90805),x90806),x90805) % 209.33/209.63 [9086]E(x90861,x90862)+E(f335(f80(x90863,x90864,x90865,x90862,x90866),x90861),f335(x90865,x90861)) % 209.33/209.63 [9098]~P25(x90984,x90982,f335(f78(x90981,x90982,x90984,x90983),x90985),x90986)+P25(x90981,x90982,x90983,f335(f318(x90984,x90981,x90985),x90986)) % 209.33/209.63 [9802]P106(f335(f66(x98021),x98022))+~P106(f335(f71(x98021,x98023,x98024,x98025,x98022),x98026)) % 209.33/209.63 [9811]~P106(f335(f335(f337(x98114),x98113),f305(x98114,x98111,x98115,x98112,x98116)))+P106(f335(f335(x98111,x98112),x98113)) % 209.33/209.63 [9812]~P106(f335(f335(f337(x98124),x98123),f308(x98124,x98125,x98121,x98122,x98126)))+P106(f335(f335(x98121,x98122),x98123)) % 209.33/209.63 [9813]~P106(f335(f335(f337(x98134),x98132),f305(x98134,x98135,x98131,x98136,x98133)))+P106(f335(f335(x98131,x98132),x98133)) % 209.33/209.63 [9814]~P106(f335(f335(f337(x98144),x98142),f308(x98144,x98141,x98145,x98146,x98143)))+P106(f335(f335(x98141,x98142),x98143)) % 209.33/209.63 [10321]P12(x103211,x103212,x103213,x103214,x103215,x103216)+~E(f335(f335(x103216,f894(x103213,x103216,x103215,x103212,x103214,x103211)),f897(x103213,x103216,x103215,x103212,x103214,x103211)),f335(f335(x103216,f895(x103213,x103216,x103215,x103212,x103214,x103211)),f898(x103213,x103216,x103215,x103212,x103214,x103211))) % 209.33/209.63 [6011]E(x60111,x60112)+~E(f335(f335(f260(x60113,x60114),x60115),x60111),f335(f335(f260(x60113,x60114),x60116),x60112)) % 209.33/209.63 [6013]E(x60131,x60132)+~E(f335(f335(f260(x60133,x60134),x60131),x60135),f335(f335(f260(x60133,x60134),x60132),x60136)) % 209.33/209.63 [6145]~P16(x61455,x61456,x61451)+E(f335(f335(x61451,x61452),f335(f335(x61451,x61453),x61454)),f335(f335(x61451,x61453),f335(f335(x61451,x61452),x61454))) % 209.33/209.63 [7567]~P32(x75674,x75671,f335(f335(f158(x75674),x75672),x75675),f335(f335(f158(x75674),x75673),x75676))+P106(f335(f335(x75671,x75672),x75673)) % 209.33/209.63 [7916]P32(x79161,x79162,x79163,x79164)+~P32(x79161,x79162,f335(f335(f158(x79161),x79165),x79163),f335(f335(f158(x79161),x79166),x79164)) % 209.33/209.63 [8944]~P57(x89445,x89441,x89442,x89446,x89444)+P106(f335(f335(f337(x89441),f335(x89442,x89443)),x89444)) % 209.33/209.63 [9126]E(f335(f82(x91261,x91262,x91263,x91264,x91265),x91266),f335(x91263,x91266))+P106(f335(f335(f337(x91261),x91266),x91265)) % 209.33/209.63 [9148]~E(x91483,f335(f335(f158(x91481),x91485),x91486))+P106(f335(f335(f337(f933(f928(x91481),f928(x91481))),f335(f335(f260(f928(x91481),f928(x91481)),x91482),f335(f335(f141(x91481),x91482),x91483))),f154(x91481,x91484))) % 209.33/209.63 [9153]E(f335(f82(x91531,x91532,x91533,x91534,x91535),x91536),f335(x91534,x91536))+~P106(f335(f335(f337(x91531),x91536),x91535)) % 209.33/209.63 [9384]~P34(x93841,x93842,x93843,x93845,x93846)+P34(x93841,x93842,x93843,f335(f335(f182(x93841),x93844),x93845),f335(f335(f182(x93842),x93844),x93846)) % 209.33/209.63 [9385]~P34(x93851,x93852,x93853,x93855,x93856)+P34(x93851,x93852,x93853,f335(f335(f145(x93851),x93854),x93855),f335(f335(f145(x93852),x93854),x93856)) % 209.33/209.63 [9639]E(f335(f318(x96391,x96392,f80(x96391,x96392,x96393,x96394,x96395)),x96396),f335(f318(x96391,x96392,x96393),x96396))+P106(f335(f335(f337(x96391),x96394),x96396)) % 209.33/209.63 [9642]E(f335(f335(f161(x96421,x96422),f80(x96421,x96422,x96423,x96424,x96425)),x96426),f335(f335(f161(x96421,x96422),x96423),x96426))+P106(f335(f335(f337(x96421),x96424),f335(f179(x96421),x96426))) % 209.33/209.63 [9874]~P23(x98744,x98742,x98745,x98743,x98746,x98741)+E(f335(x98741,f195(f934(x98742,a922))),x98743) % 209.33/209.63 [10110]~E(f335(x101104,f335(f259(x101101,x101103),x101105)),f335(x101106,f335(f259(x101101,x101103),x101105)))+E(f335(f266(x101101,x101102,x101103,x101103,x101104,f25(x101103)),x101105),f335(f266(x101101,x101102,x101103,x101103,x101106,f25(x101103)),x101105)) % 209.33/209.63 [10111]~E(f335(x101114,f335(f264(x101111,x101112),x101115)),f335(x101116,f335(f264(x101111,x101112),x101115)))+E(f335(f266(x101111,x101111,x101112,x101113,f25(x101111),x101114),x101115),f335(f266(x101111,x101111,x101112,x101113,f25(x101111),x101116),x101115)) % 209.33/209.63 [10165]~E(f335(f266(x101652,x101656,x101653,x101653,x101651,f25(x101653)),x101654),f335(f266(x101652,x101656,x101653,x101653,x101655,f25(x101653)),x101654))+E(f335(x101651,f335(f259(x101652,x101653),x101654)),f335(x101655,f335(f259(x101652,x101653),x101654))) % 209.33/209.63 [10166]~E(f335(f266(x101662,x101662,x101663,x101666,f25(x101662),x101661),x101664),f335(f266(x101662,x101662,x101663,x101666,f25(x101662),x101665),x101664))+E(f335(x101661,f335(f264(x101662,x101663),x101664)),f335(x101665,f335(f264(x101662,x101663),x101664))) % 209.33/209.63 [9047]P106(f335(f335(f337(x90471),x90472),x90473))+~P106(f335(f335(f337(f933(x90471,x90474)),f335(f335(f260(x90471,x90474),x90472),x90475)),f335(f335(f262(x90471,x90474),x90473),x90476))) % 209.33/209.63 [9063]P106(f335(f335(f337(x90631),x90632),f335(x90633,x90634)))+~P106(f335(f335(f337(f933(x90635,x90631)),f335(f335(f260(x90635,x90631),x90634),x90632)),f335(f335(f262(x90635,x90631),x90636),x90633))) % 209.33/209.63 [9498]P106(f335(f335(f337(f933(x94981,x94981)),f335(f335(f260(x94981,x94981),f335(x94982,x94983)),f335(x94982,x94984))),x94985))+~P106(f335(f335(f337(f933(x94986,x94986)),f335(f335(f260(x94986,x94986),x94983),x94984)),f335(f335(f296(x94981,x94986),x94985),x94982))) % 209.33/209.63 [9518]~P106(f335(f335(f337(f933(x95184,x95184)),f335(f335(f260(x95184,x95184),f335(x95186,x95182)),f335(x95186,x95183))),x95185))+P106(f335(f335(f337(f933(x95181,x95181)),f335(f335(f260(x95181,x95181),x95182),x95183)),f335(f335(f296(x95184,x95181),x95185),x95186))) % 209.33/209.63 [10168]E(f335(f335(f260(x101681,x101682),f667(x101683,x101684,x101685,x101686,x101682,x101681)),f668(x101683,x101684,x101685,x101686,x101682,x101681)),x101686)+~P106(f335(f335(f337(f933(x101681,x101682)),x101686),f335(f335(f297(x101681,x101685,x101682),x101684),x101683))) % 209.33/209.63 [10390]~P106(f335(f335(f337(f933(x103901,x103906)),x103905),f335(f335(f297(x103901,x103902,x103906),x103904),x103903)))+P106(f335(f335(f337(f933(x103901,x103902)),f335(f335(f260(x103901,x103902),f667(x103903,x103904,x103902,x103905,x103906,x103901)),f669(x103903,x103904,x103902,x103905,x103906,x103901))),x103904)) % 209.33/209.63 [10391]~P106(f335(f335(f337(f933(x103916,x103912)),x103915),f335(f335(f297(x103916,x103911,x103912),x103914),x103913)))+P106(f335(f335(f337(f933(x103911,x103912)),f335(f335(f260(x103911,x103912),f669(x103913,x103914,x103911,x103915,x103912,x103916)),f668(x103913,x103914,x103911,x103915,x103912,x103916))),x103913)) % 209.33/209.63 [10392]P12(x103921,x103922,x103923,x103924,x103925,x103926)+P106(f335(f335(f337(f933(x103922,x103922)),f335(f335(f260(x103922,x103922),f898(x103923,x103926,x103925,x103922,x103924,x103921)),f897(x103923,x103926,x103925,x103922,x103924,x103921))),x103925)) % 209.33/209.63 [10393]P12(x103931,x103932,x103933,x103934,x103935,x103936)+P106(f335(f335(f337(f933(x103931,x103931)),f335(f335(f260(x103931,x103931),f895(x103933,x103936,x103935,x103932,x103934,x103931)),f894(x103933,x103936,x103935,x103932,x103934,x103931))),x103934)) % 209.33/209.63 [7986]~P5(x79862)+E(f335(f335(f44(x79861,x79862),x79863),f335(f335(f7(x79861,x79864,x79862),x79865),x79866)),f335(f335(f335(f44(x79861,f934(x79864,x79862)),x79863),x79865),x79866)) % 209.33/209.63 [7987]~P5(x79872)+E(f335(f335(f45(x79871,x79872),x79873),f335(f335(f7(x79871,x79874,x79872),x79875),x79876)),f335(f335(f335(f45(x79871,f934(x79874,x79872)),x79873),x79875),x79876)) % 209.33/209.63 [8750]E(f335(f335(f44(x87501,f934(x87502,a922)),x87503),f335(f335(f8(f934(x87502,a922),f934(x87502,a922),x87501),f335(f317(x87502),x87504)),x87505)),f335(f335(f317(x87502),x87504),f335(f335(f44(x87501,f934(x87502,a922)),x87503),x87505)))+~P106(f335(f335(f337(x87501),x87506),x87503)) % 209.33/209.63 [9203]~P5(x92032)+E(f335(f335(f44(x92031,x92032),x92033),f335(f335(f8(f934(x92034,x92032),x92032,x92031),f335(f44(x92034,x92032),x92035)),f335(f7(x92034,x92031,x92032),x92036))),f335(f335(f44(x92034,x92032),x92035),f335(f335(f8(f934(x92031,x92032),x92032,x92034),f335(f44(x92031,x92032),x92033)),x92036))) % 209.33/209.63 [9204]~P5(x92042)+E(f335(f335(f45(x92041,x92042),x92043),f335(f335(f8(f934(x92044,x92042),x92042,x92041),f335(f45(x92044,x92042),x92045)),f335(f7(x92044,x92041,x92042),x92046))),f335(f335(f45(x92044,x92042),x92045),f335(f335(f8(f934(x92041,x92042),x92042,x92044),f335(f45(x92041,x92042),x92043)),x92046))) % 209.33/209.63 [9409]P106(f335(f335(f337(x94091),x94092),f335(f179(x94091),x94093)))+~P106(f335(f335(f337(f933(x94094,x94091)),f335(f335(f260(x94094,x94091),x94095),x94092)),f335(f179(f933(x94094,x94091)),f335(f335(f188(x94094,x94091),x94096),x94093)))) % 209.33/209.63 [9410]P106(f335(f335(f337(x94101),x94102),f335(f179(x94101),x94103)))+~P106(f335(f335(f337(f933(x94101,x94104)),f335(f335(f260(x94101,x94104),x94102),x94105)),f335(f179(f933(x94101,x94104)),f335(f335(f188(x94101,x94104),x94103),x94106)))) % 209.33/209.63 [9514]P106(f335(f335(f243(f934(x95141,a922)),f335(f293(x95142,x95141,x95143),x95144)),x95145))+~P106(f335(f335(f243(f934(f933(x95142,x95141),a922)),x95143),f335(f335(f262(x95142,x95141),x95146),f335(f16(f934(x95141,a922),x95142),x95145)))) % 209.33/209.63 [9519]~P26(x95194,x95192,x95195,f250(f934(x95194,a922)),f250(f934(x95192,a922)))+E(f335(f335(f45(x95191,f934(x95192,a922)),x95193),f335(f335(f8(f934(x95194,a922),f934(x95192,a922),x95191),f318(x95194,x95192,x95195)),x95196)),f335(f318(x95194,x95192,x95195),f335(f335(f45(x95191,f934(x95194,a922)),x95193),x95196))) % 209.33/209.63 [9706]P106(f335(f335(f337(f933(f928(x97061),f928(x97061))),f335(f335(f260(f928(x97061),f928(x97061)),f335(f335(f158(x97061),x97062),x97063)),f335(f335(f158(x97061),x97064),x97065))),f154(x97061,x97066)))+~P106(f335(f335(f337(f933(x97061,x97061)),f335(f335(f260(x97061,x97061),x97062),x97064)),x97066)) % 209.33/209.63 [10164]E(f335(f335(f260(x101641,x101642),f598(x101643,x101644,x101645,x101642,x101641,x101646)),f599(x101643,x101644,x101645,x101642,x101641,x101646)),x101646)+P106(f335(f335(f337(x101645),x101644),f335(f335(f265(x101641,x101642,f934(x101645,a922)),x101643),x101646))) % 209.33/209.63 [10171]E(f335(f335(f260(x101711,x101712),f596(x101713,x101714,x101712,x101711,x101715,x101716)),f597(x101713,x101714,x101712,x101711,x101715,x101716)),x101713)+~P106(f335(f335(f337(x101716),x101715),f335(f335(f265(x101711,x101712,f934(x101716,a922)),x101714),x101713))) % 209.33/209.63 [10336]P106(f335(f335(f337(x103361),x103362),f335(f335(x103363,f596(x103364,x103363,x103365,x103366,x103362,x103361)),f597(x103364,x103363,x103365,x103366,x103362,x103361))))+~P106(f335(f335(f337(x103361),x103362),f335(f335(f265(x103366,x103365,f934(x103361,a922)),x103363),x103364))) % 209.33/209.63 [10361]~P106(f335(f335(f337(x103611),x103612),f335(f335(x103615,f598(x103615,x103612,x103611,x103614,x103613,x103616)),f599(x103615,x103612,x103611,x103614,x103613,x103616))))+P106(f335(f335(f337(x103611),x103612),f335(f335(f265(x103613,x103614,f934(x103611,a922)),x103615),x103616))) % 209.33/209.63 [8651]E(x86511,x86512)+E(f335(f335(f166(x86513,f335(f335(f166(x86513,x86514),x86511),x86515)),x86512),x86516),f335(f335(f166(x86513,f335(f335(f166(x86513,x86514),x86512),x86516)),x86511),x86515)) % 209.33/209.63 [9766]~P106(f335(f335(f337(x97663),x97666),x97665))+E(f335(f335(f317(x97661),x97662),f335(f318(x97663,x97661,x97664),f335(f335(f23(f934(x97663,a922)),x97665),f335(f335(f317(x97663),x97666),f195(f934(x97663,a922)))))),f335(f318(x97663,x97661,f80(x97663,x97661,x97664,x97666,x97662)),x97665)) % 209.33/209.63 [9282]~P106(f335(f335(x92824,x92825),x92826))+P106(f335(f335(f335(f335(f117(f934(x92821,f934(x92822,a922))),x92823),x92824),x92825),x92826)) % 209.33/209.63 [9284]~P106(f335(f335(x92843,x92845),x92846))+P106(f335(f335(f335(f335(f117(f934(x92841,f934(x92842,a922))),x92843),x92844),x92845),x92846)) % 209.33/209.63 [9569]P106(f335(f335(x95691,x95692),x95693))+~P106(f335(f335(f335(f335(f108(f934(x95694,f934(x95695,a922))),x95696),x95691),x95692),x95693)) % 209.33/209.63 [9570]P106(f335(f335(x95701,x95702),x95703))+~P106(f335(f335(f335(f335(f108(f934(x95704,f934(x95705,a922))),x95701),x95706),x95702),x95703)) % 209.33/209.63 [10001]~P75(x100012)+E(f335(f335(f6(x100011,x100012),f335(f335(f7(x100011,f934(x100013,a922),x100012),f335(f335(f8(f934(x100013,x100012),f934(f934(x100013,a922),x100012),x100011),f6(x100013,x100012)),x100014)),x100015)),x100016),f335(f335(f6(f933(x100011,x100013),x100012),f335(f265(x100011,x100013,x100012),x100014)),f335(f335(f262(x100011,x100013),x100016),f335(f16(f934(x100013,a922),x100011),x100015)))) % 209.33/209.63 [10002]~P71(x100022)+E(f335(f335(f9(x100021,x100022),f335(f335(f7(x100021,f934(x100023,a922),x100022),f335(f335(f8(f934(x100023,x100022),f934(f934(x100023,a922),x100022),x100021),f9(x100023,x100022)),x100024)),x100025)),x100026),f335(f335(f9(f933(x100021,x100023),x100022),f335(f265(x100021,x100023,x100022),x100024)),f335(f335(f262(x100021,x100023),x100026),f335(f16(f934(x100023,a922),x100021),x100025)))) % 209.33/209.63 [10135]~P75(x101352)+E(f335(f335(f6(x101351,x101352),f335(f335(f7(x101351,f934(x101353,a922),x101352),f335(f335(f8(f934(x101353,x101352),f934(f934(x101353,a922),x101352),x101351),f6(x101353,x101352)),f335(f7(x101353,x101351,x101352),x101354))),x101355)),x101356),f335(f335(f6(x101353,x101352),f335(f335(f7(x101353,f934(x101351,a922),x101352),f335(f335(f8(f934(x101351,x101352),f934(f934(x101351,a922),x101352),x101353),f6(x101351,x101352)),x101354)),x101356)),x101355)) % 209.33/209.63 [10458]~P106(f335(f335(f337(f933(x104581,x104582)),f335(f335(f260(x104581,x104582),x104585),x104586)),f335(f335(f108(f934(f933(x104581,x104582),a922)),x104583),x104584)))+P106(f335(f335(f335(f335(f108(f934(x104581,f934(x104582,a922))),f335(f335(f7(x104581,f934(f933(x104581,x104582),a922),f934(x104582,a922)),f335(f335(f8(f934(x104582,f934(f934(f933(x104581,x104582),a922),a922)),f934(f934(f933(x104581,x104582),a922),f934(x104582,a922)),x104581),f7(x104582,f934(f933(x104581,x104582),a922),a922)),f335(f335(f8(f934(x104582,f933(x104581,x104582)),f934(x104582,f934(f934(f933(x104581,x104582),a922),a922)),x104581),f335(f8(f933(x104581,x104582),f934(f934(f933(x104581,x104582),a922),a922),x104582),f337(f933(x104581,x104582)))),f260(x104581,x104582)))),x104583)),f335(f335(f7(x104581,f934(f933(x104581,x104582),a922),f934(x104582,a922)),f335(f335(f8(f934(x104582,f934(f934(f933(x104581,x104582),a922),a922)),f934(f934(f933(x104581,x104582),a922),f934(x104582,a922)),x104581),f7(x104582,f934(f933(x104581,x104582),a922),a922)),f335(f335(f8(f934(x104582,f933(x104581,x104582)),f934(x104582,f934(f934(f933(x104581,x104582),a922),a922)),x104581),f335(f8(f933(x104581,x104582),f934(f934(f933(x104581,x104582),a922),a922),x104582),f337(f933(x104581,x104582)))),f260(x104581,x104582)))),x104584)),x104585),x104586)) % 209.33/209.63 [10459]~P106(f335(f335(f337(f933(x104591,x104592)),f335(f335(f260(x104591,x104592),x104595),x104596)),f335(f335(f117(f934(f933(x104591,x104592),a922)),x104593),x104594)))+P106(f335(f335(f335(f335(f117(f934(x104591,f934(x104592,a922))),f335(f335(f7(x104591,f934(f933(x104591,x104592),a922),f934(x104592,a922)),f335(f335(f8(f934(x104592,f934(f934(f933(x104591,x104592),a922),a922)),f934(f934(f933(x104591,x104592),a922),f934(x104592,a922)),x104591),f7(x104592,f934(f933(x104591,x104592),a922),a922)),f335(f335(f8(f934(x104592,f933(x104591,x104592)),f934(x104592,f934(f934(f933(x104591,x104592),a922),a922)),x104591),f335(f8(f933(x104591,x104592),f934(f934(f933(x104591,x104592),a922),a922),x104592),f337(f933(x104591,x104592)))),f260(x104591,x104592)))),x104593)),f335(f335(f7(x104591,f934(f933(x104591,x104592),a922),f934(x104592,a922)),f335(f335(f8(f934(x104592,f934(f934(f933(x104591,x104592),a922),a922)),f934(f934(f933(x104591,x104592),a922),f934(x104592,a922)),x104591),f7(x104592,f934(f933(x104591,x104592),a922),a922)),f335(f335(f8(f934(x104592,f933(x104591,x104592)),f934(x104592,f934(f934(f933(x104591,x104592),a922),a922)),x104591),f335(f8(f933(x104591,x104592),f934(f934(f933(x104591,x104592),a922),a922),x104592),f337(f933(x104591,x104592)))),f260(x104591,x104592)))),x104594)),x104595),x104596)) % 209.33/209.63 [10468]P106(f335(f335(f337(f933(x104681,x104682)),f335(f335(f260(x104681,x104682),x104683),x104684)),f335(f335(f108(f934(f933(x104681,x104682),a922)),x104685),x104686)))+~P106(f335(f335(f335(f335(f108(f934(x104681,f934(x104682,a922))),f335(f335(f7(x104681,f934(f933(x104681,x104682),a922),f934(x104682,a922)),f335(f335(f8(f934(x104682,f934(f934(f933(x104681,x104682),a922),a922)),f934(f934(f933(x104681,x104682),a922),f934(x104682,a922)),x104681),f7(x104682,f934(f933(x104681,x104682),a922),a922)),f335(f335(f8(f934(x104682,f933(x104681,x104682)),f934(x104682,f934(f934(f933(x104681,x104682),a922),a922)),x104681),f335(f8(f933(x104681,x104682),f934(f934(f933(x104681,x104682),a922),a922),x104682),f337(f933(x104681,x104682)))),f260(x104681,x104682)))),x104685)),f335(f335(f7(x104681,f934(f933(x104681,x104682),a922),f934(x104682,a922)),f335(f335(f8(f934(x104682,f934(f934(f933(x104681,x104682),a922),a922)),f934(f934(f933(x104681,x104682),a922),f934(x104682,a922)),x104681),f7(x104682,f934(f933(x104681,x104682),a922),a922)),f335(f335(f8(f934(x104682,f933(x104681,x104682)),f934(x104682,f934(f934(f933(x104681,x104682),a922),a922)),x104681),f335(f8(f933(x104681,x104682),f934(f934(f933(x104681,x104682),a922),a922),x104682),f337(f933(x104681,x104682)))),f260(x104681,x104682)))),x104686)),x104683),x104684)) % 209.33/209.63 [10469]P106(f335(f335(f337(f933(x104691,x104692)),f335(f335(f260(x104691,x104692),x104693),x104694)),f335(f335(f117(f934(f933(x104691,x104692),a922)),x104695),x104696)))+~P106(f335(f335(f335(f335(f117(f934(x104691,f934(x104692,a922))),f335(f335(f7(x104691,f934(f933(x104691,x104692),a922),f934(x104692,a922)),f335(f335(f8(f934(x104692,f934(f934(f933(x104691,x104692),a922),a922)),f934(f934(f933(x104691,x104692),a922),f934(x104692,a922)),x104691),f7(x104692,f934(f933(x104691,x104692),a922),a922)),f335(f335(f8(f934(x104692,f933(x104691,x104692)),f934(x104692,f934(f934(f933(x104691,x104692),a922),a922)),x104691),f335(f8(f933(x104691,x104692),f934(f934(f933(x104691,x104692),a922),a922),x104692),f337(f933(x104691,x104692)))),f260(x104691,x104692)))),x104695)),f335(f335(f7(x104691,f934(f933(x104691,x104692),a922),f934(x104692,a922)),f335(f335(f8(f934(x104692,f934(f934(f933(x104691,x104692),a922),a922)),f934(f934(f933(x104691,x104692),a922),f934(x104692,a922)),x104691),f7(x104692,f934(f933(x104691,x104692),a922),a922)),f335(f335(f8(f934(x104692,f933(x104691,x104692)),f934(x104692,f934(f934(f933(x104691,x104692),a922),a922)),x104691),f335(f8(f933(x104691,x104692),f934(f934(f933(x104691,x104692),a922),a922),x104692),f337(f933(x104691,x104692)))),f260(x104691,x104692)))),x104696)),x104693),x104694)) % 209.33/209.63 [10452]~P106(f335(f335(f337(f933(x104522,x104523)),f335(f335(f260(x104522,x104523),x104525),x104526)),f335(f335(f44(x104521,f934(f933(x104522,x104523),a922)),f250(f934(x104521,a922))),x104524)))+P106(f335(f335(f335(f335(f44(x104521,f934(x104522,f934(x104523,a922))),f250(f934(x104521,a922))),f335(f335(f8(f934(f933(x104522,x104523),a922),f934(x104522,f934(x104523,a922)),x104521),f335(f7(x104522,f934(f933(x104522,x104523),a922),f934(x104523,a922)),f335(f335(f8(f934(x104523,f934(f934(f933(x104522,x104523),a922),a922)),f934(f934(f933(x104522,x104523),a922),f934(x104523,a922)),x104522),f7(x104523,f934(f933(x104522,x104523),a922),a922)),f335(f335(f8(f934(x104523,f933(x104522,x104523)),f934(x104523,f934(f934(f933(x104522,x104523),a922),a922)),x104522),f335(f8(f933(x104522,x104523),f934(f934(f933(x104522,x104523),a922),a922),x104523),f337(f933(x104522,x104523)))),f260(x104522,x104523))))),x104524)),x104525),x104526)) % 209.33/209.63 [10453]~P106(f335(f335(f337(f933(x104532,x104533)),f335(f335(f260(x104532,x104533),x104535),x104536)),f335(f335(f45(x104531,f934(f933(x104532,x104533),a922)),f250(f934(x104531,a922))),x104534)))+P106(f335(f335(f335(f335(f45(x104531,f934(x104532,f934(x104533,a922))),f250(f934(x104531,a922))),f335(f335(f8(f934(f933(x104532,x104533),a922),f934(x104532,f934(x104533,a922)),x104531),f335(f7(x104532,f934(f933(x104532,x104533),a922),f934(x104533,a922)),f335(f335(f8(f934(x104533,f934(f934(f933(x104532,x104533),a922),a922)),f934(f934(f933(x104532,x104533),a922),f934(x104533,a922)),x104532),f7(x104533,f934(f933(x104532,x104533),a922),a922)),f335(f335(f8(f934(x104533,f933(x104532,x104533)),f934(x104533,f934(f934(f933(x104532,x104533),a922),a922)),x104532),f335(f8(f933(x104532,x104533),f934(f934(f933(x104532,x104533),a922),a922),x104533),f337(f933(x104532,x104533)))),f260(x104532,x104533))))),x104534)),x104535),x104536)) % 209.33/209.63 [10462]P106(f335(f335(f337(f933(x104621,x104622)),f335(f335(f260(x104621,x104622),x104623),x104624)),f335(f335(f44(x104625,f934(f933(x104621,x104622),a922)),f250(f934(x104625,a922))),x104626)))+~P106(f335(f335(f335(f335(f44(x104625,f934(x104621,f934(x104622,a922))),f250(f934(x104625,a922))),f335(f335(f8(f934(f933(x104621,x104622),a922),f934(x104621,f934(x104622,a922)),x104625),f335(f7(x104621,f934(f933(x104621,x104622),a922),f934(x104622,a922)),f335(f335(f8(f934(x104622,f934(f934(f933(x104621,x104622),a922),a922)),f934(f934(f933(x104621,x104622),a922),f934(x104622,a922)),x104621),f7(x104622,f934(f933(x104621,x104622),a922),a922)),f335(f335(f8(f934(x104622,f933(x104621,x104622)),f934(x104622,f934(f934(f933(x104621,x104622),a922),a922)),x104621),f335(f8(f933(x104621,x104622),f934(f934(f933(x104621,x104622),a922),a922),x104622),f337(f933(x104621,x104622)))),f260(x104621,x104622))))),x104626)),x104623),x104624)) % 209.33/209.63 [10463]P106(f335(f335(f337(f933(x104631,x104632)),f335(f335(f260(x104631,x104632),x104633),x104634)),f335(f335(f45(x104635,f934(f933(x104631,x104632),a922)),f250(f934(x104635,a922))),x104636)))+~P106(f335(f335(f335(f335(f45(x104635,f934(x104631,f934(x104632,a922))),f250(f934(x104635,a922))),f335(f335(f8(f934(f933(x104631,x104632),a922),f934(x104631,f934(x104632,a922)),x104635),f335(f7(x104631,f934(f933(x104631,x104632),a922),f934(x104632,a922)),f335(f335(f8(f934(x104632,f934(f934(f933(x104631,x104632),a922),a922)),f934(f934(f933(x104631,x104632),a922),f934(x104632,a922)),x104631),f7(x104632,f934(f933(x104631,x104632),a922),a922)),f335(f335(f8(f934(x104632,f933(x104631,x104632)),f934(x104632,f934(f934(f933(x104631,x104632),a922),a922)),x104631),f335(f8(f933(x104631,x104632),f934(f934(f933(x104631,x104632),a922),a922),x104632),f337(f933(x104631,x104632)))),f260(x104631,x104632))))),x104636)),x104633),x104634)) % 209.33/209.63 [7498]E(x74981,x74982)+~E(f98(x74983,x74984,x74985,x74981),f98(x74983,x74986,x74987,x74982)) % 209.33/209.63 [7499]E(x74991,x74992)+~E(f98(x74993,x74994,x74991,x74995),f98(x74993,x74996,x74992,x74997)) % 209.33/209.63 [7500]E(x75001,x75002)+~E(f98(x75003,x75001,x75004,x75005),f98(x75003,x75002,x75006,x75007)) % 209.33/209.63 [7670]E(f335(x76701,f335(x76702,x76703)),f335(x76704,x76703))+~E(f335(f78(x76705,x76706,x76707,x76701),x76702),x76704) % 209.33/209.63 [9782]E(x97821,x97822)+E(f80(x97823,x97824,f80(x97823,x97824,x97825,x97821,x97826),x97822,x97827),f80(x97823,x97824,f80(x97823,x97824,x97825,x97822,x97827),x97821,x97826)) % 209.33/209.63 [9873]~P22(x98733,x98734,x98731,x98735,x98736,x98737)+E(f335(f335(x98731,x98732),x98732),x98732) % 209.33/209.63 [6246]~E(f335(f335(f161(x62461,x62465),x62466),x62462),f335(f335(f161(x62463,x62465),x62467),x62464))+E(f335(f196(f928(x62461)),x62462),f335(f196(f928(x62463)),x62464)) % 209.33/209.63 [8682]E(f335(x86821,f335(x86822,x86823)),f335(x86824,x86823))+~E(f335(f78(x86825,x86826,x86827,x86821),x86822),f335(f78(x86826,x86826,x86827,f25(x86826)),x86824)) % 209.33/209.63 [9036]~P34(x90364,x90365,x90361,f335(f335(f158(x90364),x90362),x90366),f335(f335(f158(x90365),x90363),x90367))+P106(f335(f335(x90361,x90362),x90363)) % 209.33/209.63 [9416]P34(x94161,x94162,x94163,x94164,x94165)+~P34(x94161,x94162,x94163,f335(f335(f158(x94161),x94166),x94164),f335(f335(f158(x94162),x94167),x94165)) % 209.33/209.63 [10034]P106(f335(f335(x100341,x100342),f362(x100343,x100342,x100344,x100341)))+~P106(f335(f335(f261(x100345,x100346,x100347,x100341,x100344),x100342),x100343)) % 209.33/209.63 [10059]P106(f335(f335(x100591,f362(x100592,x100593,x100591,x100594)),x100592))+~P106(f335(f335(f261(x100595,x100596,x100597,x100594,x100591),x100593),x100592)) % 209.33/209.63 [9157]~P20(x91576,x91571,x91573,x91577)+E(f335(f78(x91571,x91571,x91572,f335(x91573,x91574)),f335(f78(x91571,x91571,x91572,f335(x91573,x91574)),x91575)),f335(f78(x91571,x91571,x91572,f335(x91573,x91574)),x91575)) % 209.33/209.63 [9522]~P34(x95223,x95222,x95224,f335(f335(f161(x95221,x95223),x95225),x95226),x95227)+P34(x95221,x95222,f335(f335(f8(x95223,f934(x95222,a922),x95221),x95224),x95225),x95226,x95227) % 209.33/209.63 [9545]P34(x95451,x95452,x95453,f335(f335(f161(x95454,x95451),x95455),x95456),x95457)+~P34(x95454,x95452,f335(f335(f8(x95451,f934(x95452,a922),x95454),x95453),x95455),x95456,x95457) % 209.33/209.63 [9156]~P106(f335(f335(f337(x91561),x91562),f335(f335(x91565,x91566),x91567)))+P106(f335(f335(f337(x91561),x91562),f335(f335(f265(x91563,x91564,f934(x91561,a922)),x91565),f335(f335(f260(x91563,x91564),x91566),x91567)))) % 209.33/209.63 [9439]P106(f335(f335(f335(x94391,x94392),x94393),x94394))+~P106(f335(f335(f335(f265(x94395,x94396,f934(x94397,a922)),x94391),f335(f335(f260(x94395,x94396),x94392),x94393)),x94394)) % 209.33/209.63 [9584]P106(f335(f335(f337(x95841),f335(f335(x95842,x95843),x95844)),f335(f318(f933(x95845,x95846),x95841,f335(f265(x95845,x95846,x95841),x95842)),x95847)))+~P106(f335(f335(f337(f933(x95845,x95846)),f335(f335(f260(x95845,x95846),x95843),x95844)),x95847)) % 209.33/209.63 [9921]P106(f335(f335(f337(f933(f928(x99211),f928(x99211))),f335(f335(f260(f928(x99211),f928(x99211)),f335(f335(f141(x99211),x99212),f335(f335(f158(x99211),x99213),x99214))),f335(f335(f141(x99211),x99212),f335(f335(f158(x99211),x99215),x99216)))),f154(x99211,x99217)))+~P106(f335(f335(f337(f933(x99211,x99211)),f335(f335(f260(x99211,x99211),x99213),x99215)),x99217)) % 209.33/209.63 [9986]~P34(x99861,x99863,x99864,x99866,f335(f335(f161(x99862,x99863),x99865),x99867))+P34(x99861,x99862,f335(f335(f7(x99861,f934(x99862,x99863),f934(x99862,a922)),f335(f335(f8(f934(x99863,a922),f934(f934(x99862,x99863),f934(x99862,a922)),x99861),f8(x99863,a922,x99862)),x99864)),x99865),x99866,x99867) % 209.33/209.63 [10063]P34(x100631,x100632,x100633,x100634,f335(f335(f161(x100635,x100632),x100636),x100637))+~P34(x100631,x100635,f335(f335(f7(x100631,f934(x100635,x100632),f934(x100635,a922)),f335(f335(f8(f934(x100632,a922),f934(f934(x100635,x100632),f934(x100635,a922)),x100631),f8(x100632,a922,x100635)),x100633)),x100636),x100634,x100637) % 209.33/209.63 [10376]P106(f335(f335(f337(x103761),f660(x103762,x103763,x103764,x103765,x103766,x103767,x103761)),x103765))+P106(f335(f335(f335(f335(f45(x103761,f934(x103767,f934(x103766,a922))),x103765),x103764),x103763),x103762)) % 209.33/209.63 [10377]P106(f335(f335(f337(x103771),f812(x103772,x103773,x103774,x103775,x103776,x103777,x103771)),x103777))+P106(f335(f335(f335(f335(f45(x103771,f934(x103773,f934(x103772,a922))),x103777),x103776),x103775),x103774)) % 209.33/209.63 [10378]P106(f335(f335(f337(x103781),f818(x103782,x103783,x103784,x103785,x103786,x103787,x103781)),x103785))+~P106(f335(f335(f335(f335(f44(x103781,f934(x103787,f934(x103786,a922))),x103785),x103784),x103783),x103782)) % 209.33/209.63 [10379]P106(f335(f335(f337(x103791),f896(x103792,x103793,x103794,x103795,x103796,x103797,x103791)),x103795))+~P106(f335(f335(f335(f335(f44(x103791,f934(x103797,f934(x103796,a922))),x103795),x103794),x103793),x103792)) % 209.33/209.63 [10416]P106(f335(f335(f335(x104161,f818(x104162,x104163,x104161,x104164,x104165,x104166,x104167)),x104163),x104162))+~P106(f335(f335(f335(f335(f44(x104167,f934(x104166,f934(x104165,a922))),x104164),x104161),x104163),x104162)) % 209.33/209.63 [10417]P106(f335(f335(f335(x104171,f896(x104172,x104173,x104171,x104174,x104175,x104176,x104177)),x104173),x104172))+~P106(f335(f335(f335(f335(f44(x104177,f934(x104176,f934(x104175,a922))),x104174),x104171),x104173),x104172)) % 209.33/209.63 [10433]~P106(f335(f335(f335(x104335,f660(x104337,x104336,x104335,x104334,x104333,x104332,x104331)),x104336),x104337))+P106(f335(f335(f335(f335(f45(x104331,f934(x104332,f934(x104333,a922))),x104334),x104335),x104336),x104337)) % 209.33/209.63 [10434]~P106(f335(f335(f335(x104345,f812(x104343,x104342,x104347,x104346,x104345,x104344,x104341)),x104346),x104347))+P106(f335(f335(f335(f335(f45(x104341,f934(x104342,f934(x104343,a922))),x104344),x104345),x104346),x104347)) % 209.33/209.63 [10451]~P106(f335(f335(f337(f933(x104511,x104513)),f335(f335(f260(x104511,x104513),x104516),x104517)),f335(f335(f297(x104511,x104512,x104513),x104514),x104515)))+P106(f335(f335(f261(x104511,x104512,x104513,f335(f335(f7(x104511,f934(f933(x104511,x104512),a922),f934(x104512,a922)),f335(f335(f8(f934(x104512,f934(f934(f933(x104511,x104512),a922),a922)),f934(f934(f933(x104511,x104512),a922),f934(x104512,a922)),x104511),f7(x104512,f934(f933(x104511,x104512),a922),a922)),f335(f335(f8(f934(x104512,f933(x104511,x104512)),f934(x104512,f934(f934(f933(x104511,x104512),a922),a922)),x104511),f335(f8(f933(x104511,x104512),f934(f934(f933(x104511,x104512),a922),a922),x104512),f337(f933(x104511,x104512)))),f260(x104511,x104512)))),x104514),f335(f335(f7(x104512,f934(f933(x104512,x104513),a922),f934(x104513,a922)),f335(f335(f8(f934(x104513,f934(f934(f933(x104512,x104513),a922),a922)),f934(f934(f933(x104512,x104513),a922),f934(x104513,a922)),x104512),f7(x104513,f934(f933(x104512,x104513),a922),a922)),f335(f335(f8(f934(x104513,f933(x104512,x104513)),f934(x104513,f934(f934(f933(x104512,x104513),a922),a922)),x104512),f335(f8(f933(x104512,x104513),f934(f934(f933(x104512,x104513),a922),a922),x104513),f337(f933(x104512,x104513)))),f260(x104512,x104513)))),x104515)),x104516),x104517)) % 209.33/209.63 [10461]P106(f335(f335(f337(f933(x104611,x104612)),f335(f335(f260(x104611,x104612),x104613),x104614)),f335(f335(f297(x104611,x104615,x104612),x104616),x104617)))+~P106(f335(f335(f261(x104611,x104615,x104612,f335(f335(f7(x104611,f934(f933(x104611,x104615),a922),f934(x104615,a922)),f335(f335(f8(f934(x104615,f934(f934(f933(x104611,x104615),a922),a922)),f934(f934(f933(x104611,x104615),a922),f934(x104615,a922)),x104611),f7(x104615,f934(f933(x104611,x104615),a922),a922)),f335(f335(f8(f934(x104615,f933(x104611,x104615)),f934(x104615,f934(f934(f933(x104611,x104615),a922),a922)),x104611),f335(f8(f933(x104611,x104615),f934(f934(f933(x104611,x104615),a922),a922),x104615),f337(f933(x104611,x104615)))),f260(x104611,x104615)))),x104616),f335(f335(f7(x104615,f934(f933(x104615,x104612),a922),f934(x104612,a922)),f335(f335(f8(f934(x104612,f934(f934(f933(x104615,x104612),a922),a922)),f934(f934(f933(x104615,x104612),a922),f934(x104612,a922)),x104615),f7(x104612,f934(f933(x104615,x104612),a922),a922)),f335(f335(f8(f934(x104612,f933(x104615,x104612)),f934(x104612,f934(f934(f933(x104615,x104612),a922),a922)),x104615),f335(f8(f933(x104615,x104612),f934(f934(f933(x104615,x104612),a922),a922),x104612),f337(f933(x104615,x104612)))),f260(x104615,x104612)))),x104617)),x104613),x104614)) % 209.33/209.63 [10388]~P145(x103882)+E(f335(f335(f6(x103881,x103882),f335(f335(f7(x103881,f934(x103883,a922),x103882),f335(f335(f8(f934(x103883,x103882),f934(f934(x103883,a922),x103882),x103881),f6(x103883,x103882)),f335(f335(f7(x103881,f934(x103883,x103882),f934(x103883,x103882)),f335(f335(f8(f934(x103882,x103882),f934(f934(x103883,x103882),f934(x103883,x103882)),x103881),f8(x103882,x103882,x103883)),f335(f335(f8(x103882,f934(x103882,x103882),x103881),f87(x103882)),x103884))),x103885))),x103886)),x103887),f335(f335(f87(x103882),f335(f335(f6(x103881,x103882),x103884),x103887)),f335(f335(f6(x103883,x103882),x103885),x103886))) % 209.33/209.63 [9471]~P19(x94717,x94711,x94713,x94718)+E(f335(f78(x94711,x94711,x94712,f335(x94713,x94714)),f335(f78(x94711,x94711,x94712,f335(x94713,x94715)),x94716)),f335(f78(x94711,x94711,x94712,f335(x94713,x94715)),f335(f78(x94711,x94711,x94712,f335(x94713,x94714)),x94716))) % 209.33/209.63 [10415]P24(x104151,x104152,f335(f335(f317(f926(x104151)),f98(x104151,f335(f335(f8(f934(a923,a922),f934(a923,a922),x104151),f335(f18(a923,a922,a922),f335(f335(f8(a922,f934(a922,a922),a923),a333),f335(a332,x104153)))),f335(f335(f7(x104151,f934(a923,a923),f934(a923,a922)),f335(f335(f8(f934(a923,a922),f934(f934(a923,a923),f934(a923,a922)),x104151),f8(a923,a922,a923)),x104154)),f335(f335(f18(a923,a927,a923),f335(f335(f7(a923,a925,f934(a927,a923)),a203),f33(x104155))),x104156))),f28(x104155,x104156,x104157),x104158)),f195(f934(f926(x104151),a922))))+~P24(x104151,x104152,f335(f335(f317(f926(x104151)),f98(x104151,x104154,x104157,f335(f335(f7(x104151,f934(a923,a923),f934(a923,a922)),f335(f335(f8(f934(a923,a922),f934(f934(a923,a923),f934(a923,a922)),x104151),f8(a923,a922,a923)),x104158)),f335(f335(f7(a923,a927,a923),f335(f335(f7(a923,a925,f934(a927,a923)),a203),f33(x104155))),f204(x104153,x104155))))),f195(f934(f926(x104151),a922)))) % 209.33/209.63 [10456]E(f335(f335(f260(x104561,x104562),f335(x104563,f549(x104564,x104565,x104563,x104566,x104567,x104568,x104562,x104561))),f335(x104565,f550(x104564,x104565,x104563,x104566,x104567,x104568,x104562,x104561))),x104568)+~P106(f335(f335(f337(f933(x104561,x104562)),x104568),f335(f318(f933(x104567,x104566),f933(x104561,x104562),f266(x104567,x104561,x104566,x104562,x104563,x104565)),x104564))) % 209.33/209.63 [10474]~P106(f335(f335(f337(f933(x104748,x104747)),x104746),f335(f318(f933(x104741,x104742),f933(x104748,x104747),f266(x104741,x104748,x104742,x104747,x104745,x104744)),x104743)))+P106(f335(f335(f337(f933(x104741,x104742)),f335(f335(f260(x104741,x104742),f549(x104743,x104744,x104745,x104742,x104741,x104746,x104747,x104748)),f550(x104743,x104744,x104745,x104742,x104741,x104746,x104747,x104748))),x104743)) % 209.33/209.63 [9911]P106(f335(f335(f337(f933(f933(x99111,x99112),f933(x99111,x99112))),f335(f335(f260(f933(x99111,x99112),f933(x99111,x99112)),f335(f335(f260(x99111,x99112),x99113),x99114)),f335(f335(f260(x99111,x99112),x99115),x99116))),f327(x99111,x99112,x99117,x99118)))+~P106(f335(f335(f337(f933(x99111,x99111)),f335(f335(f260(x99111,x99111),x99113),x99115)),x99117)) % 209.33/209.63 [10445]E(f335(f149(x104451,x104452,f335(f7(x104452,x104451,x104451),x104453),f335(x104454,x104455)),x104456),f335(x104454,f335(f149(x104457,x104452,f335(f7(x104452,x104457,x104457),x104458),x104455),x104456)))+P106(f335(f335(f337(x104452),f756(x104455,x104458,x104454,x104453,x104457,x104451,x104456,x104452)),f335(f179(x104452),x104456))) % 209.33/209.63 [10464]~E(f335(f78(x104641,x104641,x104647,f335(x104643,f756(x104645,x104648,x104644,x104643,x104647,x104641,x104646,x104642))),x104644),f335(f78(x104647,x104641,x104647,x104644),f335(x104648,f756(x104645,x104648,x104644,x104643,x104647,x104641,x104646,x104642))))+E(f335(f149(x104641,x104642,f335(f7(x104642,x104641,x104641),x104643),f335(x104644,x104645)),x104646),f335(x104644,f335(f149(x104647,x104642,f335(f7(x104642,x104647,x104647),x104648),x104645),x104646))) % 209.33/209.63 [8687]E(f335(x86871,f335(x86872,x86873)),f335(x86874,f335(x86875,x86873)))+~E(f335(f78(x86876,x86877,x86878,x86871),x86872),f335(f78(x86879,x86877,x86878,x86874),x86875)) % 209.33/209.63 [10300]P106(f335(f335(f337(f933(x103001,x103002)),f335(f335(f260(x103001,x103002),f335(x103003,x103004)),f335(x103005,x103006))),f335(f318(f933(x103007,x103008),f933(x103001,x103002),f266(x103007,x103001,x103008,x103002,x103003,x103005)),x103009)))+~P106(f335(f335(f337(f933(x103007,x103008)),f335(f335(f260(x103007,x103008),x103004),x103006)),x103009)) % 209.33/209.63 [8982]~E(f335(x89824,f335(x89825,x89826)),f335(x89829,f335(x898210,x898211)))+E(f335(f335(f78(x89821,x89822,x89823,x89824),x89825),x89826),f335(f335(f78(x89827,x89822,x89828,x89829),x898210),x898211)) % 209.33/209.63 [4820]~P108(x48201)+~P101(x48201)+E(f108(x48201),f241(x48201)) % 209.33/209.63 [4821]~P108(x48211)+~P102(x48211)+E(f117(x48211),f242(x48211)) % 209.33/209.63 [5072]~P122(x50721)+~P93(x50721)+E(f335(f81(x50721),f335(f110(x50721),a104)),f84(x50721)) % 209.33/209.63 [5360]E(x53601,f2(a1))+E(f88(a1,x53601),f335(f85(a1),f84(a1)))+P106(f335(f335(f244(a1),f2(a1)),x53601)) % 209.33/209.63 [5568]E(x55681,f2(a1))+E(f88(a1,x55681),f84(a1))+~P106(f335(f335(f244(a1),f2(a1)),x55681)) % 209.33/209.63 [7571]~P40(x75711)+P106(f335(f66(a1),x75711))+~P106(f335(f66(a927),f335(f318(a1,a927,a111),x75711))) % 209.33/209.63 [9872]E(x98721,f195(f934(f933(a927,a927),a922)))+~P106(f335(f66(f933(a927,a927)),x98721))+P106(f335(f335(f337(f933(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922))),f335(f335(f260(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922)),f195(f934(f933(a927,a927),a922))),x98721)),a39)) % 209.33/209.63 [10035]E(x100351,f2(a927))+E(x100351,f335(a119,f2(a927)))+~P106(f335(f335(f244(a927),x100351),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))) % 209.33/209.63 [10331]E(x103311,f2(a106))+E(f335(f335(f86(a1),f335(f335(f87(a1),f335(f110(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),f335(a22,f335(f335(f41(a106),x103311),f335(f110(a106),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))))),f84(a1)),f335(a22,x103311))+E(f50(a106,x103311,f335(f110(a106),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),f2(a106)) % 209.33/209.63 [10175]E(x101751,f2(a106))+~E(f50(a106,x101751,f335(f110(a106),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),f2(a106))+E(f335(f335(f87(a1),f335(f110(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),f335(a22,f335(f335(f41(a106),x101751),f335(f110(a106),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))))),f335(a22,x101751)) % 209.33/209.63 [4901]~P58(x49011,x49012)+P43(x49011,x49012)+~P44(a922) % 209.33/209.63 [4830]~P146(x48301)+P28(x48301,x48302)+~E(x48302,f2(x48301)) % 209.33/209.63 [4831]~P108(x48311)+P13(x48311,x48312)+~E(x48312,f120(x48311)) % 209.33/209.63 [4840]~P122(x48401)+~E(x48402,f2(x48401))+E(f88(x48401,x48402),f2(x48401)) % 209.33/209.63 [4841]~P88(x48411)+~E(x48412,f2(x48411))+E(f88(x48411,x48412),f2(x48411)) % 209.33/209.63 [4849]~P146(x48492)+~P28(x48492,x48491)+E(x48491,f2(x48492)) % 209.33/209.63 [4894]~P122(x48942)+~E(f88(x48942,x48941),f2(x48942))+E(x48941,f2(x48942)) % 209.33/209.63 [4908]~P61(x49082)+~P61(x49081)+P61(f934(x49081,x49082)) % 209.33/209.63 [4909]~P61(x49092)+~P61(x49091)+P61(f933(x49091,x49092)) % 209.33/209.63 [4910]~P61(x49102)+~P61(x49101)+P61(f935(x49101,x49102)) % 209.33/209.63 [4911]~P6(x49112)+~P6(x49111)+P6(f201(x49111,x49112)) % 209.33/209.63 [4912]~P64(x49122)+~P64(x49121)+P64(f934(x49121,x49122)) % 209.33/209.63 [4913]~P64(x49132)+~P64(x49131)+P64(f933(x49131,x49132)) % 209.33/209.63 [4914]~P64(x49142)+~P64(x49141)+P64(f935(x49141,x49142)) % 209.33/209.63 [4915]~P104(x49152)+~P104(x49151)+P104(f933(x49151,x49152)) % 209.33/209.63 [5044]~P108(x50441)+~P13(x50441,x50442)+P13(x50441,f159(x50441,x50442)) % 209.33/209.63 [5287]~P6(x52872)+~P6(x52871)+P6(f50(a1,x52871,x52872)) % 209.33/209.63 [4851]~P77(x48511)+~E(x48512,f2(x48511))+E(f335(f85(x48511),x48512),x48512) % 209.33/209.63 [4866]~P140(x48661)+~E(x48662,f2(a1))+E(f335(f109(x48661),x48662),f2(x48661)) % 209.33/209.63 [4867]~P92(x48671)+~E(x48672,f2(a1))+E(f335(f109(x48671),x48672),f2(x48671)) % 209.33/209.63 [4891]~P3(x48911)+~E(f2(x48911),x48912)+E(f335(f85(x48911),x48912),f2(x48911)) % 209.33/209.63 [4892]~P3(x48921)+~E(x48922,f2(x48921))+E(f335(f85(x48921),x48922),f2(x48921)) % 209.33/209.63 [4893]~P85(x48931)+~E(x48932,f2(x48931))+E(f335(f81(x48931),x48932),f2(x48931)) % 209.33/209.63 [4917]~P77(x49172)+E(x49171,f2(x49172))+~E(f335(f85(x49172),x49171),x49171) % 209.33/209.63 [4925]E(x49251,f335(a111,x49252))+~E(x49251,f2(a927))+~E(x49252,f335(f107(a1),x49251)) % 209.33/209.63 [4926]E(f335(a111,x49261),x49262)+~E(x49262,f2(a927))+~E(x49261,f335(f107(a1),x49262)) % 209.33/209.63 [4930]~P92(x49302)+E(x49301,f2(a1))+~E(f335(f109(x49302),x49301),f2(x49302)) % 209.33/209.63 [4934]~P3(x49342)+E(x49341,f2(x49342))+~E(f335(f85(x49342),x49341),f2(x49342)) % 209.33/209.63 [4935]~P85(x49352)+E(x49351,f2(x49352))+~E(f335(f81(x49352),x49351),f2(x49352)) % 209.33/209.63 [4936]~P3(x49361)+E(f2(x49361),x49362)+~E(f335(f85(x49361),x49362),f2(x49361)) % 209.33/209.63 [5119]~P108(x51191)+~P13(x51191,x51192)+P13(x51191,f335(f178(x51191),x51192)) % 209.33/209.63 [5146]~P106(x51462)+~P106(x51461)+P106(f335(f335(a333,x51461),x51462)) % 209.33/209.63 [5180]~E(f84(a927),f2(a927))+E(f335(f40(x51801),x51802),f2(a927))+~P106(f335(f66(x51801),x51802)) % 209.33/209.63 [5216]~P145(x52161)+~P115(x52161)+E(f335(f335(f252(x52161),f2(x52161)),f335(a119,x52162)),f2(x52161)) % 209.33/209.63 [5255]~P108(x52551)+P13(x52551,f146(x52551,x52552))+~P106(f335(f66(x52551),x52552)) % 209.33/209.63 [5256]~P108(x52561)+P13(x52561,f748(x52562,x52561))+~P106(f335(f66(x52561),x52562)) % 209.33/209.63 [5279]~P108(x52791)+E(f335(f179(x52791),f146(x52791,x52792)),x52792)+~P106(f335(f66(x52791),x52792)) % 209.33/209.63 [5280]~P108(x52801)+E(f335(f179(x52801),f748(x52802,x52801)),x52802)+~P106(f335(f66(x52801),x52802)) % 209.33/209.63 [5309]P106(x53091)+P106(x53092)+~P106(f335(f335(a334,x53092),x53091)) % 209.33/209.63 [5322]E(x53221,f195(f934(x53222,a922)))+~E(f335(f40(x53222),x53221),f2(a927))+~P106(f335(f66(x53222),x53221)) % 209.33/209.63 [5327]P106(x53271)+~P106(x53272)+~P106(f335(f335(a338,x53272),x53271)) % 209.33/209.63 [5378]~P74(x53781)+E(f335(f81(x53781),x53782),x53782)+P106(f335(f335(f244(x53781),x53782),f2(x53781))) % 209.33/209.63 [5438]~P64(x54382)+~P106(f335(f61(x54382),x54381))+P106(f335(x54381,f749(x54381,x54382))) % 209.33/209.63 [5439]~P64(x54392)+~P106(f335(f61(x54392),x54391))+P106(f335(x54391,f757(x54391,x54392))) % 209.33/209.63 [5480]E(x54801,f120(x54802))+P106(f335(f144(x54802),f121(x54802,x54801)))+~P106(f335(f144(x54802),x54801)) % 209.33/209.63 [5485]~P108(x54851)+~P106(f335(f66(x54851),x54852))+P106(f335(f144(x54851),f146(x54851,x54852))) % 209.33/209.63 [5486]~P108(x54861)+~P106(f335(f66(x54861),x54862))+P106(f335(f144(x54861),f748(x54862,x54861))) % 209.33/209.63 [5491]~P140(x54911)+E(f335(f107(x54911),f335(a111,x54912)),f335(f109(x54911),x54912))+P106(f335(f335(f244(a1),x54912),f2(a1))) % 209.33/209.63 [5518]P7(x55182,x55181)+E(f335(x55181,f841(x55181)),f335(x55181,f888(x55181)))+P106(f335(f335(x55181,f841(x55181)),f888(x55181))) % 209.33/209.63 [5530]E(f335(f107(a1),f442(x55301,x55302)),x55301)+P106(f335(x55302,f335(a111,x55301)))+~P106(f335(x55302,f2(a927))) % 209.33/209.63 [5542]~P64(x55421)+~P106(f335(x55422,f762(x55422,x55421)))+P106(f335(f62(x55421),x55422)) % 209.33/209.63 [5543]~P64(x55431)+~P106(f335(x55432,f772(x55432,x55431)))+P106(f335(f62(x55431),x55432)) % 209.33/209.63 [5578]~P122(x55781)+~E(f88(x55781,x55782),f335(f85(x55781),f84(x55781)))+P106(f335(f335(f244(x55781),x55782),f2(x55781))) % 209.33/209.63 [5651]~E(x56512,f2(a1))+E(f224(x56511,x56512),f335(f335(f260(a1,a1),f2(a1)),f84(a1)))+P106(f335(f335(f244(a1),x56512),f2(a1))) % 209.33/209.63 [5652]~E(x56521,f2(a1))+E(f224(x56521,x56522),f335(f335(f260(a1,a1),f2(a1)),f84(a1)))+P106(f335(f335(f244(a1),x56522),f2(a1))) % 209.33/209.63 [5705]E(f335(f107(a1),f442(x57051,x57052)),x57051)+P106(f335(x57052,f335(a111,x57051)))+P106(f335(f335(f244(a1),x57051),f2(a1))) % 209.33/209.63 [5772]~P122(x57721)+E(f88(x57721,x57722),f335(f85(x57721),f84(x57721)))+~P106(f335(f335(f244(x57721),x57722),f2(x57721))) % 209.33/209.63 [5773]~P85(x57731)+E(f335(f81(x57731),x57732),f335(f85(x57731),x57732))+~P106(f335(f335(f243(x57731),x57732),f2(x57731))) % 209.33/209.63 [5774]~P85(x57741)+E(f335(f81(x57741),x57742),f335(f85(x57741),x57742))+~P106(f335(f335(f244(x57741),x57742),f2(x57741))) % 209.33/209.63 [5775]~P74(x57751)+E(f335(f81(x57751),x57752),f335(f85(x57751),x57752))+~P106(f335(f335(f244(x57751),x57752),f2(x57751))) % 209.33/209.63 [5874]~P106(f335(x58741,f442(x58742,x58741)))+P106(f335(x58741,f335(a111,x58742)))+~P106(f335(x58741,f2(a927))) % 209.33/209.63 [5881]E(x58811,f2(a927))+E(f335(a119,f391(x58812,x58811)),x58811)+~P106(f335(f335(f244(a927),x58811),f335(a119,x58812))) % 209.33/209.63 [5885]P7(x58851,x58852)+~E(f335(x58852,f841(x58852)),f335(x58852,f888(x58852)))+~P106(f335(f335(x58852,f841(x58852)),f888(x58852))) % 209.33/209.63 [5903]~P108(x59031)+P13(x59031,x59032)+P106(f335(f335(f243(a927),f732(x59032,x59031)),f733(x59032,x59031))) % 209.33/209.63 [5904]~P108(x59041)+P13(x59041,x59042)+P106(f335(f335(f243(a927),f739(x59042,x59041)),f744(x59042,x59041))) % 209.33/209.63 [5990]~P85(x59901)+~E(x59902,f2(x59901))+P106(f335(f335(f243(x59901),f335(f81(x59901),x59902)),f2(x59901))) % 209.33/209.63 [6078]~P106(f335(x60781,f442(x60782,x60781)))+P106(f335(x60781,f335(a111,x60782)))+P106(f335(f335(f244(a1),x60782),f2(a1))) % 209.33/209.63 [6103]~P106(f335(x61031,f335(a111,x61032)))+P106(f335(x61031,f2(a927)))+~P106(f335(f335(f244(a1),x61032),f2(a1))) % 209.33/209.63 [6443]~P122(x64431)+~P106(f335(f335(f244(x64431),x64432),f2(x64431)))+P106(f335(f335(f244(x64431),f88(x64431,x64432)),f2(x64431))) % 209.33/209.63 [6556]~P122(x65561)+P106(f335(f335(f243(x65561),f335(f109(x65561),x65562)),f2(x65561)))+~P106(f335(f335(f243(a1),x65562),f2(a1))) % 209.33/209.63 [6557]~P122(x65571)+P106(f335(f335(f244(x65571),f335(f109(x65571),x65572)),f2(x65571)))+~P106(f335(f335(f244(a1),x65572),f2(a1))) % 209.33/209.63 [6566]~P85(x65662)+E(x65661,f2(x65662))+~P106(f335(f335(f243(x65662),f335(f81(x65662),x65661)),f2(x65662))) % 209.33/209.63 [6641]~P140(x66411)+~P106(f335(f335(f337(x66411),x66412),f116(x66411)))+P106(f335(f335(f337(x66411),f335(f85(x66411),x66412)),f116(x66411))) % 209.33/209.63 [6674]~P122(x66741)+~P106(f335(f335(f244(x66741),f88(x66741,x66742)),f2(x66741)))+P106(f335(f335(f244(x66741),x66742),f2(x66741))) % 209.33/209.63 [6845]~P122(x68452)+~P106(f335(f335(f243(x68452),f335(f109(x68452),x68451)),f2(x68452)))+P106(f335(f335(f243(a1),x68451),f2(a1))) % 209.33/209.63 [6846]~P122(x68462)+~P106(f335(f335(f244(x68462),f335(f109(x68462),x68461)),f2(x68462)))+P106(f335(f335(f244(a1),x68461),f2(a1))) % 209.33/209.63 [7345]~P77(x73451)+~P106(f335(f335(f243(x73451),x73452),f2(x73451)))+P106(f335(f335(f243(x73451),f335(f335(f86(x73451),x73452),x73452)),f2(x73451))) % 209.33/209.63 [7346]~P122(x73461)+~P106(f335(f335(f244(x73461),x73462),f2(x73461)))+P106(f335(f335(f244(x73461),f335(f335(f86(x73461),x73462),x73462)),f2(x73461))) % 209.33/209.63 [7347]~P77(x73471)+~P106(f335(f335(f244(x73471),x73472),f2(x73471)))+P106(f335(f335(f244(x73471),f335(f335(f86(x73471),x73472),x73472)),f2(x73471))) % 209.33/209.63 [7910]~P77(x79101)+~P106(f335(f335(f243(x79101),f335(f335(f86(x79101),x79102),x79102)),f2(x79101)))+P106(f335(f335(f243(x79101),x79102),f2(x79101))) % 209.33/209.63 [7911]~P122(x79111)+~P106(f335(f335(f244(x79111),f335(f335(f86(x79111),x79112),x79112)),f2(x79111)))+P106(f335(f335(f244(x79111),x79112),f2(x79111))) % 209.33/209.63 [7912]~P77(x79121)+~P106(f335(f335(f244(x79121),f335(f335(f86(x79121),x79122),x79122)),f2(x79121)))+P106(f335(f335(f244(x79121),x79122),f2(x79121))) % 209.33/209.63 [4971]~E(x49712,f84(a927))+~E(x49711,f84(a927))+E(f335(f335(f87(a927),x49711),x49712),f84(a927)) % 209.33/209.63 [4972]~E(x49722,f84(a1))+~E(x49721,f84(a1))+E(f335(f335(f87(a1),x49721),x49722),f84(a1)) % 209.33/209.63 [4973]~E(x49732,f2(a927))+~E(x49731,f2(a927))+E(f335(f335(f86(a927),x49731),x49732),f2(a927)) % 209.33/209.63 [5028]~P62(x50282)+E(x50281,f2(x50282))+E(f335(f335(f41(x50282),x50281),x50281),f84(x50282)) % 209.33/209.63 [5029]~P119(x50292)+E(x50291,f2(x50292))+E(f335(f335(f299(x50292),x50291),x50291),f84(x50292)) % 209.33/209.63 [5030]~P120(x50302)+E(x50301,f2(x50302))+E(f335(f335(f299(x50302),x50301),x50301),f84(x50302)) % 209.33/209.63 [5050]~P139(x50501)+~E(x50502,f84(x50501))+E(f335(f335(f87(x50501),x50502),x50502),f84(x50501)) % 209.33/209.63 [5051]~P77(x50511)+~E(x50512,f2(x50511))+E(f335(f335(f86(x50511),x50512),x50512),f2(x50511)) % 209.33/209.63 [5052]~P120(x50521)+~E(x50522,f2(x50521))+E(f335(f335(f299(x50521),x50522),x50522),f2(x50521)) % 209.33/209.63 [5097]~E(x50972,f2(a927))+~E(x50971,f2(a927))+E(f335(f85(a1),f335(f107(a1),x50971)),f335(f107(a1),x50972)) % 209.33/209.63 [5116]E(x51161,f84(a927))+E(x51162,f2(a927))+~E(f335(f335(f87(a927),x51162),x51161),x51162) % 209.33/209.63 [5128]E(x51281,f2(a927))+E(x51282,f2(a927))+~E(f335(f335(f87(a927),x51282),x51281),f2(a927)) % 209.33/209.63 [5155]~E(x51552,f2(a927))+~E(x51551,f335(a119,f2(a927)))+E(f335(f335(f86(a927),x51551),x51552),f335(a119,f2(a927))) % 209.33/209.63 [5156]~E(x51561,f2(a927))+~E(x51562,f335(a119,f2(a927)))+E(f335(f335(f86(a927),x51561),x51562),f335(a119,f2(a927))) % 209.33/209.63 [5163]E(x51631,f84(a1))+E(x51632,f335(f110(a1),a104))+~E(f335(f335(f87(a1),x51631),x51632),f84(a1)) % 209.33/209.63 [5164]E(x51641,f84(a1))+E(x51642,f335(f110(a1),a104))+~E(f335(f335(f87(a1),x51642),x51641),f84(a1)) % 209.33/209.63 [5165]E(x51651,f84(a1))+E(x51651,f335(f110(a1),a104))+~E(f335(f335(f87(a1),x51652),x51651),f84(a1)) % 209.33/209.63 [5167]E(x51671,f84(a1))+E(x51671,f335(f110(a1),a104))+~E(f335(f335(f87(a1),x51671),x51672),f84(a1)) % 209.33/209.63 [5188]~P77(x51882)+E(x51881,f2(x51882))+~E(f335(f335(f86(x51882),x51881),x51881),f2(x51882)) % 209.33/209.63 [5194]~E(x51941,f335(f110(a1),a104))+~E(x51942,f335(f110(a1),a104))+E(f335(f335(f87(a1),x51941),x51942),f84(a1)) % 209.33/209.63 [5205]E(x52051,f2(a927))+E(x52052,f2(a927))+~E(f335(f335(f86(a927),x52052),x52051),f335(a119,f2(a927))) % 209.33/209.63 [5215]~P93(x52151)+~P65(x52151)+E(f335(f335(f299(x52151),x52152),f335(f110(x52151),a89)),f2(x52151)) % 209.33/209.63 [5222]~P139(x52221)+~E(x52222,f335(f85(x52221),f84(x52221)))+E(f335(f335(f87(x52221),x52222),x52222),f84(x52221)) % 209.33/209.63 [5227]~P6(x52272)+~P6(x52271)+P6(f335(f335(f87(a1),x52271),x52272)) % 209.33/209.63 [5228]~P6(x52282)+~P6(x52281)+P6(f335(f335(f86(a1),x52281),x52282)) % 209.33/209.63 [5229]~P6(x52292)+~P6(x52291)+P6(f335(f335(f41(a1),x52291),x52292)) % 209.33/209.63 [5231]~E(x52312,f2(a1))+E(x52311,f2(a1))+E(f51(x52311,x52312),f335(f335(f260(a1,a1),f2(a1)),x52311)) % 209.33/209.63 [5253]~E(x52532,f335(a119,f2(a927)))+~E(x52531,f335(a119,f2(a927)))+E(f335(f335(f87(a927),x52531),x52532),f335(a119,f2(a927))) % 209.33/209.63 [5270]E(x52701,f2(a927))+E(x52702,f335(a119,f2(a927)))+~E(f335(f335(f252(a927),x52702),x52701),f335(a119,f2(a927))) % 209.33/209.63 [5271]E(x52711,f2(a927))+E(x52711,f335(a119,f2(a927)))+~E(f335(f335(f86(a927),x52712),x52711),f335(a119,f2(a927))) % 209.33/209.63 [5272]E(x52721,f2(a927))+E(x52721,f335(a119,f2(a927)))+~E(f335(f335(f86(a927),x52721),x52722),f335(a119,f2(a927))) % 209.33/209.63 [5281]~P93(x52811)+~P65(x52811)+E(f335(f335(f299(x52811),x52812),f335(f110(x52811),a104)),f335(f85(x52811),x52812)) % 209.33/209.63 [5301]E(x53011,f335(a111,x53012))+~E(x53011,f2(a927))+P106(f335(f335(f243(a1),f2(a1)),x53012)) % 209.33/209.63 [5302]E(f335(a111,x53021),x53022)+~E(x53022,f2(a927))+P106(f335(f335(f243(a1),f2(a1)),x53021)) % 209.33/209.63 [5318]E(x53181,f335(a119,f2(a927)))+E(x53182,f335(a119,f2(a927)))+~E(f335(f335(f86(a927),x53181),x53182),f335(a119,f2(a927))) % 209.33/209.63 [5329]~E(x53291,f335(a111,x53292))+E(x53291,f2(a927))+P106(f335(f335(f243(a1),f2(a1)),x53292)) % 209.33/209.63 [5330]~E(f335(a111,x53302),x53301)+E(x53301,f2(a927))+P106(f335(f335(f243(a1),f2(a1)),x53302)) % 209.33/209.63 [5353]~P96(x53531)+E(f335(f68(x53531,f117(x53531)),x53532),f13(x53531,x53532))+~P106(f335(f66(x53531),x53532)) % 209.33/209.63 [5354]~P96(x53541)+E(f335(f68(x53541,f108(x53541)),x53542),f10(x53541,x53542))+~P106(f335(f66(x53541),x53542)) % 209.33/209.63 [5355]~P108(x53551)+E(f335(f68(x53551,f241(x53551)),x53552),f14(x53551,x53552))+~P106(f335(f66(x53551),x53552)) % 209.33/209.63 [5356]~P108(x53561)+E(f335(f68(x53561,f242(x53561)),x53562),f15(x53561,x53562))+~P106(f335(f66(x53561),x53562)) % 209.33/209.63 [5433]E(x54331,x54332)+~E(f335(f335(f23(a927),x54332),x54331),f2(a927))+~E(f335(f335(f23(a927),x54331),x54332),f2(a927)) % 209.33/209.63 [5450]P6(x54501)+~P40(x54502)+~P106(f335(f335(f337(a1),x54501),x54502)) % 209.33/209.63 [5481]~P122(x54811)+~E(f88(x54811,x54812),f84(x54811))+P106(f335(f335(f244(x54811),f2(x54811)),x54812)) % 209.33/209.63 [5492]~P93(x54921)+E(f335(f107(x54921),f335(f110(a927),x54922)),f335(f110(x54921),x54922))+P106(f335(a200,f335(f110(a1),x54922))) % 209.33/209.63 [5497]~P43(x54971,x54972)+P44(a922)+P106(f335(f66(f933(x54971,x54971)),x54972)) % 209.33/209.63 [5570]~P108(x55701)+E(f335(f68(x55701,f241(x55701)),x55702),f11(x55701,f241(x55701),x55702))+~P106(f335(f66(x55701),x55702)) % 209.33/209.63 [5571]~P108(x55711)+E(f335(f68(x55711,f242(x55711)),x55712),f12(x55711,f242(x55711),x55712))+~P106(f335(f66(x55711),x55712)) % 209.33/209.63 [5585]E(x55851,x55852)+P106(f335(f335(f244(a927),x55852),x55851))+P106(f335(f335(f244(a927),x55851),x55852)) % 209.33/209.63 [5586]E(x55861,x55862)+P106(f335(f335(f244(a1),x55862),x55861))+P106(f335(f335(f244(a1),x55861),x55862)) % 209.33/209.63 [5638]~P93(x56381)+E(f335(f107(x56381),f335(f110(a927),x56382)),f2(x56381))+~P106(f335(a200,f335(f110(a1),x56382))) % 209.33/209.63 [5641]~E(x56412,f335(a111,x56411))+E(x56411,f335(f107(a1),x56412))+~P106(f335(f335(f243(a1),f2(a1)),x56411)) % 209.33/209.63 [5642]~E(f335(a111,x56421),x56422)+E(x56421,f335(f107(a1),x56422))+~P106(f335(f335(f243(a1),f2(a1)),x56421)) % 209.33/209.63 [5643]~E(x56431,f335(a111,x56432))+E(f335(f107(a1),x56431),x56432)+~P106(f335(f335(f243(a1),f2(a1)),x56432)) % 209.33/209.63 [5653]E(x56531,f335(a111,x56532))+~E(x56532,f335(f107(a1),x56531))+~P106(f335(f335(f243(a1),f2(a1)),x56532)) % 209.33/209.63 [5654]E(f335(a111,x56541),x56542)+~E(x56541,f335(f107(a1),x56542))+~P106(f335(f335(f243(a1),f2(a1)),x56541)) % 209.33/209.63 [5685]~P116(x56852)+E(x56851,f2(x56852))+~P106(f335(f335(f295(x56852),f2(x56852)),x56851)) % 209.33/209.63 [5696]~P85(x56962)+E(x56961,f2(x56962))+P106(f335(f335(f244(x56962),f2(x56962)),f335(f81(x56962),x56961))) % 209.33/209.63 [5761]~P122(x57611)+E(f88(x57611,x57612),f84(x57611))+~P106(f335(f335(f244(x57611),f2(x57611)),x57612)) % 209.33/209.63 [5765]~P93(x57651)+E(f335(f107(x57651),f335(f110(a927),x57652)),f2(x57651))+P106(f335(f335(f243(a1),f2(a1)),f335(f110(a1),x57652))) % 209.33/209.63 [5776]~P85(x57761)+E(f335(f81(x57761),x57762),x57762)+~P106(f335(f335(f243(x57761),f2(x57761)),x57762)) % 209.33/209.63 [5777]~P85(x57771)+E(f335(f81(x57771),x57772),x57772)+~P106(f335(f335(f244(x57771),f2(x57771)),x57772)) % 209.33/209.63 [5786]E(x57861,f2(a927))+~E(f146(a927,f335(f310(a927,x57862),x57861)),f120(a927))+P106(f335(f335(f243(a927),x57861),x57862)) % 209.33/209.63 [5796]~P75(x57961)+E(f335(f335(f6(x57961,x57961),f5(x57961)),f335(f179(x57961),x57962)),f335(f172(x57961),x57962))+~P106(f335(f144(x57961),x57962)) % 209.33/209.63 [5799]~P140(x57991)+E(f335(f107(x57991),f335(a111,x57992)),f335(f109(x57991),x57992))+~P106(f335(f335(f243(a1),f2(a1)),x57992)) % 209.33/209.63 [5826]E(x58261,x58262)+P106(f335(f335(f244(a927),x58261),x58262))+~P106(f335(f335(f243(a927),x58261),x58262)) % 209.33/209.63 [5827]E(x58271,x58272)+P106(f335(f335(f244(a1),x58271),x58272))+~P106(f335(f335(f243(a1),x58271),x58272)) % 209.33/209.63 [5830]E(x58301,f84(a1))+~E(f335(f335(f87(a1),x58302),x58301),f84(a1))+~P106(f335(f335(f244(a1),f2(a1)),x58302)) % 209.33/209.63 [5831]E(x58311,f84(a1))+~E(f335(f335(f87(a1),x58311),x58312),f84(a1))+~P106(f335(f335(f244(a1),f2(a1)),x58311)) % 209.33/209.63 [5871]~P40(x58712)+P106(f335(f335(f243(a1),f2(a1)),x58711))+~P106(f335(f335(f337(a1),x58711),x58712)) % 209.33/209.63 [5890]~P58(x58901,x58902)+P37(x58901,x58902)+~P106(f335(f66(f933(x58901,x58901)),x58902)) % 209.33/209.63 [5892]~P58(x58921,x58922)+P43(x58921,x58922)+~P106(f335(f66(f933(x58921,x58921)),x58922)) % 209.33/209.63 [5934]E(x59341,f195(f934(x59342,a922)))+~P106(f335(f66(x59342),x59341))+P106(f335(f335(f244(a927),f2(a927)),f335(f40(x59342),x59341))) % 209.33/209.63 [5961]~P106(f335(x59611,x59612))+P106(f335(x59611,f2(a927)))+P106(f335(f335(f244(a927),f536(x59612,x59611)),x59612)) % 209.33/209.63 [5984]E(x59841,f2(a927))+~E(f335(f172(a927),x59842),f2(a927))+~P106(f335(f335(f337(a927),x59841),f335(f179(a927),x59842))) % 209.33/209.63 [6052]E(x60521,x60522)+~P106(f335(f335(f243(a927),x60522),x60521))+~P106(f335(f335(f243(a927),x60521),x60522)) % 209.33/209.63 [6053]E(x60531,x60532)+~P106(f335(f335(f243(a1),x60532),x60531))+~P106(f335(f335(f243(a1),x60531),x60532)) % 209.33/209.63 [6055]E(f335(f40(x60551),x60552),f2(a927))+~P106(f335(f66(x60551),x60552))+P106(f335(f335(f337(x60551),f602(x60552,x60551)),x60552)) % 209.33/209.63 [6064]E(f55(x60641,x60642),f51(x60641,x60642))+P106(f335(f335(f243(a1),f2(a1)),x60641))+~P106(f335(f335(f244(a1),f2(a1)),x60642)) % 209.33/209.63 [6090]~P106(f335(x60901,f439(x60901)))+P106(f335(x60901,f335(a111,x60902)))+~P106(f335(f335(f243(a1),f2(a1)),x60902)) % 209.33/209.63 [6093]P106(f335(f335(f243(a927),x60931),f350(x60932)))+~P106(f335(f66(a927),x60932))+~P106(f335(f335(f337(a927),x60931),x60932)) % 209.33/209.63 [6094]P106(f335(f335(f244(a927),x60941),f343(x60942)))+~P106(f335(f66(a927),x60942))+~P106(f335(f335(f337(a927),x60941),x60942)) % 209.33/209.63 [6125]E(x61251,x61252)+~P106(f335(f335(f244(a927),x61251),f335(a119,x61252)))+P106(f335(f335(f244(a927),x61251),x61252)) % 209.33/209.63 [6157]E(x61571,f335(a119,x61572))+~P106(f335(f335(f243(a927),x61571),f335(a119,x61572)))+P106(f335(f335(f243(a927),x61571),x61572)) % 209.33/209.63 [6173]P106(f335(x61731,f443(x61731)))+~P106(f335(x61731,f335(a111,x61732)))+~P106(f335(f335(f243(a1),f2(a1)),x61732)) % 209.33/209.63 [6188]~P106(f335(x61881,x61882))+~P106(f335(f335(f243(a1),f2(a1)),x61882))+P106(f335(x61881,f335(f107(a1),f433(x61881)))) % 209.33/209.63 [6199]~P85(x61992)+~E(x61991,f2(x61992))+~P106(f335(f335(f244(x61992),f2(x61992)),f335(f81(x61992),x61991))) % 209.33/209.63 [6224]~P58(x62241,x62242)+P37(x62241,f335(f294(x62241,x62241),x62242))+~P106(f335(f66(f933(x62241,x62241)),x62242)) % 209.33/209.63 [6233]~P93(x62331)+E(f335(f107(x62331),f335(f110(a927),x62332)),f335(f110(x62331),x62332))+~P106(f335(f335(f243(a1),f2(a1)),f335(f110(a1),x62332))) % 209.33/209.63 [6236]E(f335(a119,x62361),x62362)+~P106(f335(f335(f244(a927),x62361),x62362))+P106(f335(f335(f244(a927),f335(a119,x62361)),x62362)) % 209.33/209.63 [6252]E(f335(f335(f41(a1),x62521),x62522),f2(a1))+~P106(f335(f335(f243(a1),x62521),f2(a1)))+~P106(f335(f335(f244(a1),x62522),x62521)) % 209.33/209.63 [6262]E(f50(a1,x62621,x62622),x62621)+~P106(f335(f335(f243(a1),x62621),f2(a1)))+~P106(f335(f335(f244(a1),x62622),x62621)) % 209.33/209.63 [6276]E(f52(x62761,x62762),f51(x62761,x62762))+~P106(f335(f335(f243(a1),f2(a1)),x62761))+~P106(f335(f335(f243(a1),f2(a1)),x62762)) % 209.33/209.63 [6286]E(f335(f335(f41(a1),x62861),x62862),f2(a1))+~P106(f335(f335(f243(a1),f2(a1)),x62861))+~P106(f335(f335(f244(a1),x62861),x62862)) % 209.33/209.63 [6297]E(f50(a927,f335(f110(a927),x62971),f335(f110(a927),x62972)),f335(f110(a927),x62971))+P106(f335(a200,f335(f110(a1),x62971)))+~P106(f335(a200,f335(f110(a1),x62972))) % 209.33/209.63 [6299]E(f50(a1,x62991,x62992),x62991)+~P106(f335(f335(f243(a1),f2(a1)),x62991))+~P106(f335(f335(f244(a1),x62991),x62992)) % 209.33/209.63 [6300]E(x63001,x63002)+~P106(f335(f335(f244(a927),x63001),f335(a119,x63002)))+~P106(f335(f335(f243(a927),x63002),x63001)) % 209.33/209.63 [6314]~P77(x63141)+~P106(f335(f335(f243(x63141),x63142),f2(x63141)))+P106(f335(f335(f243(x63141),x63142),f335(f85(x63141),x63142))) % 209.33/209.63 [6315]~P122(x63151)+~P106(f335(f335(f244(x63151),x63152),f2(x63151)))+P106(f335(f335(f244(x63151),x63152),f335(f85(x63151),x63152))) % 209.33/209.63 [6324]~P5(x63241)+E(f335(f335(f69(x63241,x63241,f108(x63241)),f250(x63241)),x63242),f43(x63241,x63242))+~P106(f335(f66(x63241),x63242)) % 209.33/209.63 [6325]~P5(x63251)+E(f335(f335(f69(x63251,x63251,f117(x63251)),f195(x63251)),x63252),f42(x63251,x63252))+~P106(f335(f66(x63251),x63252)) % 209.33/209.63 [6342]~P122(x63421)+~P106(f335(f335(f243(a1),f2(a1)),x63422))+P106(f335(f335(f243(x63421),f2(x63421)),f335(f109(x63421),x63422))) % 209.33/209.63 [6343]~P125(x63431)+~P106(f335(f335(f244(a927),f2(a927)),x63432))+P106(f335(f335(f244(x63431),f2(x63431)),f335(f107(x63431),x63432))) % 209.33/209.63 [6344]~P122(x63441)+~P106(f335(f335(f244(a1),f2(a1)),x63442))+P106(f335(f335(f244(x63441),f2(x63441)),f335(f109(x63441),x63442))) % 209.33/209.63 [6347]~P6(x63472)+~P6(x63471)+E(f335(f318(a927,a1,f107(a1)),f311(a927,f335(a111,x63471),f335(a111,x63472))),f311(a1,x63471,x63472)) % 209.33/209.63 [6353]P106(f335(x63531,x63532))+~P106(f335(f335(f243(a1),f2(a1)),x63532))+~P106(f335(x63531,f335(f107(a1),f434(x63531)))) % 209.33/209.63 [6383]E(f335(f335(f86(a927),f335(f110(a927),x63831)),f335(f110(a927),x63832)),f335(f110(a927),x63831))+P106(f335(f335(f244(a1),x63831),a89))+~P106(f335(f335(f244(a1),x63832),a89)) % 209.33/209.63 [6387]~P122(x63871)+P106(f335(f335(f244(x63871),f2(x63871)),f88(x63871,x63872)))+~P106(f335(f335(f244(x63871),f2(x63871)),x63872)) % 209.33/209.63 [6399]~P78(x63991)+~P106(f335(f335(f243(x63991),x63992),f2(x63991)))+P106(f335(f335(f243(x63991),f2(x63991)),f335(f85(x63991),x63992))) % 209.33/209.63 [6400]~P78(x64001)+~P106(f335(f335(f244(x64001),x64002),f2(x64001)))+P106(f335(f335(f244(x64001),f2(x64001)),f335(f85(x64001),x64002))) % 209.33/209.63 [6403]E(x64031,f250(f934(x64032,a922)))+~E(f335(f40(x64032),x64031),f335(f40(x64032),f250(f934(x64032,a922))))+~P106(f335(f66(x64032),f250(f934(x64032,a922)))) % 209.33/209.63 [6435]~P77(x64351)+P106(f335(f335(f243(x64351),x64352),f2(x64351)))+~P106(f335(f335(f243(x64351),x64352),f335(f85(x64351),x64352))) % 209.33/209.63 [6436]~P122(x64361)+P106(f335(f335(f244(x64361),x64362),f2(x64361)))+~P106(f335(f335(f244(x64361),x64362),f335(f85(x64361),x64362))) % 209.33/209.63 [6445]~P93(x64451)+P106(f335(f335(f337(x64451),f335(f110(x64451),x64452)),f193(x64451)))+~P106(f335(f335(f243(a1),a89),x64452)) % 209.33/209.63 [6474]E(x64741,f2(a927))+~P106(f335(f335(f244(a927),x64741),f335(a119,x64742)))+P106(f335(f335(f244(a927),f391(x64742,x64741)),x64742)) % 209.33/209.63 [6496]~P122(x64961)+~P106(f335(f335(f244(x64961),f2(x64961)),f88(x64961,x64962)))+P106(f335(f335(f244(x64961),f2(x64961)),x64962)) % 209.33/209.63 [6498]~E(f335(f110(a927),x64982),f335(f110(a927),x64981))+P106(f335(f335(f243(a1),f335(f110(a1),x64981)),f2(a1)))+~P106(f335(a200,f335(f110(a1),x64982))) % 209.33/209.63 [6527]E(f335(f259(a1,a1),f55(x65271,x65272)),f335(f335(f41(a1),x65271),x65272))+~P106(f335(f335(f244(a1),x65271),f2(a1)))+~P106(f335(f335(f244(a1),f2(a1)),x65272)) % 209.33/209.63 [6564]E(f335(f264(a1,a1),f55(x65641,x65642)),f50(a1,x65641,x65642))+~P106(f335(f335(f244(a1),x65641),f2(a1)))+~P106(f335(f335(f244(a1),f2(a1)),x65642)) % 209.33/209.63 [6567]~P122(x65672)+~P106(f335(f335(f243(x65672),f2(x65672)),f335(f109(x65672),x65671)))+P106(f335(f335(f243(a1),f2(a1)),x65671)) % 209.33/209.63 [6568]~P125(x65682)+~P106(f335(f335(f244(x65682),f2(x65682)),f335(f107(x65682),x65681)))+P106(f335(f335(f244(a927),f2(a927)),x65681)) % 209.33/209.63 [6569]~P122(x65692)+~P106(f335(f335(f244(x65692),f2(x65692)),f335(f109(x65692),x65691)))+P106(f335(f335(f244(a1),f2(a1)),x65691)) % 209.33/209.63 [6572]E(f335(f259(a1,a1),f52(x65721,x65722)),f335(f335(f41(a1),x65721),x65722))+~P106(f335(f335(f243(a1),f2(a1)),x65722))+~P106(f335(f335(f244(a1),f2(a1)),x65721)) % 209.33/209.63 [6586]E(f335(f264(a1,a1),f52(x65861,x65862)),f50(a1,x65861,x65862))+~P106(f335(f335(f243(a1),f2(a1)),x65862))+~P106(f335(f335(f244(a1),f2(a1)),x65861)) % 209.33/209.63 [6601]~P78(x66011)+P106(f335(f335(f243(x66011),x66012),f2(x66011)))+~P106(f335(f335(f243(x66011),f2(x66011)),f335(f85(x66011),x66012))) % 209.33/209.63 [6602]~P78(x66021)+P106(f335(f335(f244(x66021),x66022),f2(x66021)))+~P106(f335(f335(f244(x66021),f2(x66021)),f335(f85(x66021),x66022))) % 209.33/209.64 [6629]P106(f335(f54(x66291,x66292),f55(x66291,x66292)))+~P106(f335(f335(f244(a1),x66291),f2(a1)))+~P106(f335(f335(f244(a1),f2(a1)),x66292)) % 209.33/209.64 [6653]P106(f335(f54(x66531,x66532),f52(x66531,x66532)))+~P106(f335(f335(f243(a1),f2(a1)),x66531))+~P106(f335(f335(f244(a1),f2(a1)),x66532)) % 209.33/209.64 [6697]~P78(x66971)+P106(f335(f335(f243(x66971),f335(f85(x66971),x66972)),f2(x66971)))+~P106(f335(f335(f243(x66971),f2(x66971)),x66972)) % 209.33/209.64 [6698]~P78(x66981)+P106(f335(f335(f244(x66981),f335(f85(x66981),x66982)),f2(x66981)))+~P106(f335(f335(f244(x66981),f2(x66981)),x66982)) % 209.33/209.64 [6714]E(f335(f335(f23(a927),f335(a111,x67141)),f335(a111,x67142)),f335(a111,f201(x67141,x67142)))+~P106(f335(f335(f243(a1),f2(a1)),x67142))+~P106(f335(f335(f243(a1),f2(a1)),x67141)) % 209.33/209.64 [6732]P106(f335(f335(f243(a1),f2(a1)),f201(x67321,x67322)))+~P106(f335(f335(f243(a1),f2(a1)),x67322))+~P106(f335(f335(f243(a1),f2(a1)),x67321)) % 209.33/209.64 [6769]~P106(f335(x67691,x67692))+P106(f335(x67691,f2(a927)))+P106(f335(x67691,f335(f335(f86(a927),f536(x67692,x67691)),f84(a927)))) % 209.33/209.64 [6852]E(f335(f110(a927),x68521),f335(f110(a927),x68522))+~P106(f335(f335(f243(a1),f335(f110(a1),x68522)),f2(a1)))+~P106(f335(a200,f335(f110(a1),x68521))) % 209.33/209.64 [6864]~E(x68641,f2(a927))+~E(f699(x68642,x68641),f2(a927))+E(f335(f149(a927,a927,f86(a927),x68641),x68642),f2(a927)) % 209.33/209.64 [6888]~P106(f335(f66(x68881),f579(x68882,x68881)))+~P106(f335(f66(f934(x68881,a922)),x68882))+P106(f335(f66(x68881),f42(f934(x68881,a922),x68882))) % 209.33/209.64 [6894]E(x68941,x68942)+P106(f335(f335(f244(a1),x68941),x68942))+~P106(f335(f335(f244(a1),x68941),f335(f335(f86(a1),x68942),f84(a1)))) % 209.33/209.64 [6895]P106(f335(f335(f243(a927),f335(a111,x68951)),f335(a111,x68952)))+~P106(f335(f335(f243(a1),f2(a1)),x68952))+~P106(f335(f335(f243(a1),x68951),x68952)) % 209.33/209.64 [6896]P106(f335(f335(f243(a927),f335(a111,x68961)),f335(a111,x68962)))+~P106(f335(f335(f244(a1),f2(a1)),x68961))+~P106(f335(f335(f243(a1),x68961),x68962)) % 209.33/209.64 [6898]P106(f335(f335(f244(a927),f335(a111,x68981)),f335(a111,x68982)))+~P106(f335(f335(f243(a1),f2(a1)),x68981))+~P106(f335(f335(f244(a1),x68981),x68982)) % 209.33/209.64 [6899]P106(f335(f335(f244(a927),f335(a111,x68991)),f335(a111,x68992)))+~P106(f335(f335(f244(a1),f2(a1)),x68992))+~P106(f335(f335(f244(a1),x68991),x68992)) % 209.33/209.64 [6910]E(f50(a927,f335(a111,x69101),f335(a111,x69102)),f335(a111,f50(a1,x69101,x69102)))+~P106(f335(f335(f243(a1),f2(a1)),x69102))+~P106(f335(f335(f243(a1),f2(a1)),x69101)) % 209.33/209.64 [6934]~P78(x69341)+~P106(f335(f335(f243(x69341),f335(f85(x69341),x69342)),f2(x69341)))+P106(f335(f335(f243(x69341),f2(x69341)),x69342)) % 209.33/209.64 [6935]~P78(x69351)+~P106(f335(f335(f244(x69351),f335(f85(x69351),x69352)),f2(x69351)))+P106(f335(f335(f244(x69351),f2(x69351)),x69352)) % 209.33/209.64 [6949]~P106(f335(f335(f244(a1),a89),x69492))+~P106(f335(f335(f244(a1),x69491),x69492))+P106(f335(f335(f244(a927),f335(f110(a927),x69491)),f335(f110(a927),x69492))) % 209.33/209.64 [7039]~P106(f335(f335(f243(a1),f2(a1)),x70391))+P106(f335(f335(f244(a927),f335(a111,x70391)),x70392))+~P106(f335(f335(f244(a1),x70391),f335(f107(a1),x70392))) % 209.33/209.64 [7044]P106(f335(x70441,x70442))+~P106(f335(x70441,f335(a20,f839(x70441,x70442))))+~P106(f335(f335(f337(a927),x70442),f250(f934(a927,a922)))) % 209.33/209.64 [7055]E(x70551,f2(a1))+E(f50(a1,x70552,x70551),f2(a1))+E(f335(f335(f23(a1),f335(f85(a1),f335(f335(f41(a1),x70552),x70551))),f84(a1)),f335(f335(f41(a1),x70552),f335(f85(a1),x70551))) % 209.33/209.64 [7069]~P106(f335(f335(f243(a1),f2(a1)),x70691))+~P106(f335(f335(f244(a927),f335(a111,x70691)),x70692))+P106(f335(f335(f244(a1),x70691),f335(f107(a1),x70692))) % 209.33/209.64 [7103]~P106(f335(f335(f243(a927),f335(a111,x71031)),f335(a111,x71032)))+~P106(f335(f335(f243(a1),f2(a1)),x71032))+P106(f335(f335(f243(a1),x71031),x71032)) % 209.33/209.64 [7104]~P106(f335(f335(f243(a927),f335(a111,x71041)),f335(a111,x71042)))+~P106(f335(f335(f244(a1),f2(a1)),x71041))+P106(f335(f335(f243(a1),x71041),x71042)) % 209.33/209.64 [7132]P106(f335(f335(f243(a1),x71321),x71322))+~P106(f335(f335(f243(a927),f335(f110(a927),x71321)),f335(f110(a927),x71322)))+P106(f335(f335(f243(a1),x71321),a89)) % 209.33/209.64 [7157]P106(f335(f335(f243(a1),f2(a1)),f50(a1,x71571,x71572)))+~P106(f335(f335(f243(a1),f2(a1)),x71572))+~P106(f335(f335(f243(a1),f2(a1)),x71571)) % 209.33/209.64 [7254]P106(f335(f335(f244(a1),a89),x72541))+~P106(f335(f335(f244(a1),x72542),x72541))+~P106(f335(f335(f244(a927),f335(f110(a927),x72542)),f335(f110(a927),x72541))) % 209.33/209.64 [7307]E(f335(f335(f260(a1,a1),f335(f335(f41(a1),x73071),x73072)),f50(a1,x73071,x73072)),f55(x73071,x73072))+~P106(f335(f335(f244(a1),x73071),f2(a1)))+~P106(f335(f335(f244(a1),f2(a1)),x73072)) % 209.33/209.64 [7327]E(f335(f335(f260(a1,a1),f335(f335(f41(a1),x73271),x73272)),f50(a1,x73271,x73272)),f52(x73271,x73272))+~P106(f335(f335(f243(a1),f2(a1)),x73272))+~P106(f335(f335(f243(a1),f2(a1)),x73271)) % 209.33/209.64 [7379]~P95(x73792)+E(x73791,f120(x73792))+E(f335(f149(x73792,x73792,f87(x73792),f335(f148(x73792),x73791)),f335(f178(x73792),x73791)),f335(f68(x73792,f87(x73792)),f335(f179(x73792),x73791))) % 209.33/209.64 [7495]~E(x74951,f2(a927))+E(f335(f149(a927,a927,f86(a927),x74951),x74952),f2(a927))+P106(f335(f335(f337(a927),f699(x74952,x74951)),f335(f179(a927),x74952))) % 209.33/209.64 [7550]~P106(f335(f335(f243(a1),x75501),f2(a1)))+P106(f335(f335(f243(a1),f335(f335(f41(a1),x75501),x75502)),f2(a1)))+~P106(f335(f335(f244(a1),f2(a1)),x75502)) % 209.33/209.64 [7551]~P106(f335(f335(f244(a1),x75512),f2(a1)))+P106(f335(f335(f243(a1),f335(f335(f41(a1),x75511),x75512)),f2(a1)))+~P106(f335(f335(f243(a1),f2(a1)),x75511)) % 209.33/209.64 [7552]~P106(f335(f335(f244(a1),x75522),f2(a1)))+P106(f335(f335(f244(a1),f335(f335(f41(a1),x75521),x75522)),f2(a1)))+~P106(f335(f335(f244(a1),f2(a1)),x75521)) % 209.33/209.64 [7554]~P106(f335(f335(f244(a1),x75541),f2(a1)))+P106(f335(f335(f244(a1),f335(f335(f41(a1),x75541),x75542)),f2(a1)))+~P106(f335(f335(f244(a1),f2(a1)),x75542)) % 209.33/209.64 [7561]P106(f335(f335(f337(f934(x75611,a922)),f579(x75612,x75611)),x75612))+~P106(f335(f66(f934(x75611,a922)),x75612))+P106(f335(f66(x75611),f42(f934(x75611,a922),x75612))) % 209.33/209.64 [7649]P25(x76491,x76491,x76492,f250(f934(x76491,a922)))+~E(f335(f318(x76491,x76491,x76492),f250(f934(x76491,a922))),f250(f934(x76491,a922)))+~P106(f335(f66(x76491),f250(f934(x76491,a922)))) % 209.33/209.64 [7767]~P25(x77671,x77671,x77672,f250(f934(x77671,a922)))+E(f335(f318(x77671,x77671,x77672),f250(f934(x77671,a922))),f250(f934(x77671,a922)))+~P106(f335(f66(x77671),f250(f934(x77671,a922)))) % 209.33/209.64 [7904]E(f335(f335(f41(a1),x79041),x79042),f335(f110(a1),a104))+~P106(f335(f335(f243(a1),f335(f335(f86(a1),x79041),x79042)),f2(a1)))+~P106(f335(f335(f244(a1),f2(a1)),x79041)) % 209.33/209.64 [7960]~P106(f335(f335(f244(a1),x79602),f2(a1)))+~P106(f335(f335(f244(a1),f335(f335(f41(a1),x79601),x79602)),f2(a1)))+P106(f335(f335(f244(a1),f2(a1)),x79601)) % 209.33/209.64 [7965]E(f335(f335(f86(a1),x79651),x79652),f50(a1,x79651,x79652))+~P106(f335(f335(f243(a1),f335(f335(f86(a1),x79651),x79652)),f2(a1)))+~P106(f335(f335(f244(a1),f2(a1)),x79651)) % 209.33/209.64 [7968]P106(f335(f335(f244(a1),x79681),f2(a1)))+~P106(f335(f335(f244(a1),f335(f335(f41(a1),x79681),x79682)),f2(a1)))+~P106(f335(f335(f244(a1),f2(a1)),x79682)) % 209.33/209.64 [8656]~P108(x86561)+P13(x86561,x86562)+~P106(f335(f335(f243(x86561),f335(f335(f171(x86561),x86562),f732(x86562,x86561))),f335(f335(f171(x86561),x86562),f733(x86562,x86561)))) % 209.33/209.64 [8657]~P108(x86571)+P13(x86571,x86572)+~P106(f335(f335(f243(x86571),f335(f335(f171(x86571),x86572),f739(x86572,x86571))),f335(f335(f171(x86571),x86572),f744(x86572,x86571)))) % 209.33/209.64 [5927]E(x59271,f2(a1))+~E(f50(a1,x59272,x59271),f2(a1))+E(f335(f335(f41(a1),x59272),f335(f85(a1),x59271)),f335(f85(a1),f335(f335(f41(a1),x59272),x59271))) % 209.33/209.64 [5945]~P40(x59452)+~P40(x59451)+P40(f335(f335(f108(f934(a1,a922)),x59451),x59452)) % 209.33/209.64 [5946]~P40(x59462)+~P40(x59461)+P40(f335(f335(f117(f934(a1,a922)),x59461),x59462)) % 209.33/209.64 [5964]~P93(x59641)+~P65(x59641)+E(f335(f85(x59641),f335(f335(f299(x59641),f84(x59641)),x59642)),f335(f335(f299(x59641),f335(f110(x59641),a104)),x59642)) % 209.33/209.64 [6082]E(x60821,f2(a1))+~E(f50(a1,x60822,x60821),f2(a1))+E(f335(f335(f41(a1),f335(f85(a1),x60822)),x60821),f335(f85(a1),f335(f335(f41(a1),x60822),x60821))) % 209.33/209.64 [6218]~P108(x62181)+P13(x62181,x62182)+P106(f335(f335(f244(a927),f733(x62182,x62181)),f335(f196(f928(x62181)),x62182))) % 209.33/209.64 [6219]~P108(x62191)+P13(x62191,x62192)+P106(f335(f335(f244(a927),f744(x62192,x62191)),f335(f196(f928(x62191)),x62192))) % 209.33/209.64 [6377]~P93(x63771)+~E(f335(f110(x63771),x63772),f2(x63771))+P28(x63771,f335(f110(x63771),f335(f335(f86(a1),x63772),f335(f85(a1),a89)))) % 209.33/209.64 [6378]~P93(x63781)+~E(f335(f110(x63781),x63782),f2(x63781))+P28(x63781,f335(f110(x63781),f335(f335(f86(a1),a89),f335(f85(a1),x63782)))) % 209.33/209.64 [6380]E(f335(a56,f52(f335(f85(a1),x63801),f335(f85(a1),x63802))),f51(x63801,x63802))+P106(f335(f335(f243(a1),f2(a1)),x63801))+P106(f335(f335(f244(a1),f2(a1)),x63802)) % 209.33/209.64 [6504]~E(x65042,f2(a927))+~E(x65041,f2(a927))+P106(f335(f335(f243(a1),f335(f107(a1),x65041)),f335(f85(a1),f335(f107(a1),x65042)))) % 209.33/209.64 [6533]E(f335(f335(f86(a927),f335(f110(a927),x65331)),f335(f110(a927),x65332)),f335(f110(a927),f335(f335(f86(a1),x65331),x65332)))+P106(f335(f335(f244(a1),x65331),a89))+P106(f335(f335(f244(a1),x65332),a89)) % 209.33/209.64 [6663]~P77(x66631)+~P106(f335(f335(f243(x66631),f2(x66631)),x66632))+P106(f335(f335(f243(x66631),f335(f85(x66631),x66632)),x66632)) % 209.33/209.64 [6664]~P77(x66641)+~P106(f335(f335(f244(x66641),f2(x66641)),x66642))+P106(f335(f335(f244(x66641),f335(f85(x66641),x66642)),x66642)) % 209.33/209.64 [6838]E(f335(f335(f23(a927),f335(a111,x68381)),f335(a111,x68382)),f335(a111,f335(f335(f23(a1),x68381),x68382)))+~P106(f335(f335(f243(a1),f2(a1)),x68382))+~P106(f335(f335(f243(a1),x68382),x68381)) % 209.33/209.64 [6872]E(f335(a111,f50(a1,f335(f110(a1),x68721),f335(f110(a1),x68722))),f50(a927,f335(f110(a927),x68721),f335(f110(a927),x68722)))+P106(f335(a200,f335(f110(a1),x68721)))+P106(f335(a200,f335(f110(a1),x68722))) % 209.33/209.64 [6889]~P77(x68891)+P106(f335(f335(f243(x68891),f2(x68891)),x68892))+~P106(f335(f335(f243(x68891),f335(f85(x68891),x68892)),x68892)) % 209.33/209.64 [6890]~P77(x68901)+P106(f335(f335(f244(x68901),f2(x68901)),x68902))+~P106(f335(f335(f244(x68901),f335(f85(x68901),x68902)),x68902)) % 209.33/209.64 [6902]~P77(x69021)+~P106(f335(f335(f243(x69021),f2(x69021)),x69022))+P106(f335(f335(f243(x69021),f2(x69021)),f335(f335(f86(x69021),x69022),x69022))) % 209.33/209.64 [6904]~P77(x69041)+~P106(f335(f335(f244(x69041),f2(x69041)),x69042))+P106(f335(f335(f244(x69041),f2(x69041)),f335(f335(f86(x69041),x69042),x69042))) % 209.33/209.64 [6917]E(f335(f335(f86(a927),f335(a111,x69171)),f335(a111,x69172)),f335(a111,f335(f335(f86(a1),x69171),x69172)))+~P106(f335(f335(f243(a1),f2(a1)),x69172))+~P106(f335(f335(f243(a1),f2(a1)),x69171)) % 209.33/209.64 [6928]E(x69281,f2(a927))+P106(f335(f335(f244(a927),f2(a927)),x69282))+~P106(f335(f335(f244(a927),f2(a927)),f335(f335(f252(a927),x69282),x69281))) % 209.33/209.64 [6961]~P93(x69611)+E(f335(f110(x69611),x69612),f2(x69611))+~P28(x69611,f335(f110(x69611),f335(f335(f86(a1),a89),f335(f85(a1),x69612)))) % 209.33/209.64 [6962]~P93(x69621)+E(f335(f110(x69621),x69622),f2(x69621))+~P28(x69621,f335(f110(x69621),f335(f335(f86(a1),x69622),f335(f85(a1),a89)))) % 209.33/209.64 [7017]~P106(f335(f66(x70171),x70172))+~P106(f335(f66(x70171),f250(f934(x70171,a922))))+P106(f335(f66(x70171),f335(f85(f934(x70171,a922)),x70172))) % 209.33/209.64 [7040]~P106(f335(f335(f244(a1),f2(a1)),x70402))+~P106(f335(f335(f243(a1),x70402),x70401))+P106(f335(f335(f244(a1),f2(a1)),f335(f335(f41(a1),x70401),x70402))) % 209.33/209.64 [7041]~P106(f335(f335(f243(a1),x70411),f2(a1)))+~P106(f335(f335(f244(a1),x70412),f2(a1)))+P106(f335(f335(f243(a1),f2(a1)),f335(f335(f41(a1),x70411),x70412))) % 209.33/209.64 [7077]~P106(f335(f335(f243(a1),f2(a1)),x70772))+~P106(f335(f335(f243(a1),f2(a1)),x70771))+P106(f335(f335(f243(a1),f2(a1)),f335(f335(f87(a1),x70771),x70772))) % 209.33/209.64 [7078]~P106(f335(f335(f243(a1),f2(a1)),x70782))+~P106(f335(f335(f243(a1),f2(a1)),x70781))+P106(f335(f335(f243(a1),f2(a1)),f335(f335(f86(a1),x70781),x70782))) % 209.33/209.64 [7079]~P106(f335(f335(f243(a1),f2(a1)),x70792))+~P106(f335(f335(f243(a1),f2(a1)),x70791))+P106(f335(f335(f243(a1),f2(a1)),f335(f335(f41(a1),x70791),x70792))) % 209.33/209.64 [7080]~P106(f335(f335(f243(a1),f2(a1)),x70801))+~P106(f335(f335(f244(a1),f2(a1)),x70802))+P106(f335(f335(f243(a1),f2(a1)),f335(f335(f41(a1),x70801),x70802))) % 209.33/209.64 [7081]~P106(f335(f335(f244(a927),f2(a927)),x70812))+~P106(f335(f335(f244(a927),f2(a927)),x70811))+P106(f335(f335(f244(a927),f2(a927)),f335(f335(f87(a927),x70811),x70812))) % 209.33/209.64 [7144]E(x71441,f2(a1))+E(f50(a1,x71442,x71441),f2(a1))+E(f335(f335(f23(a1),f335(f85(a1),f335(f335(f41(a1),x71442),x71441))),f84(a1)),f335(f335(f41(a1),f335(f85(a1),x71442)),x71441)) % 209.33/209.64 [7200]P106(f335(f335(f244(a927),f2(a927)),x72001))+P106(f335(f335(f244(a927),f2(a927)),x72002))+~P106(f335(f335(f244(a927),f2(a927)),f335(f335(f86(a927),x72002),x72001))) % 209.33/209.64 [7204]~P77(x72041)+P106(f335(f335(f243(x72041),f2(x72041)),x72042))+~P106(f335(f335(f243(x72041),f2(x72041)),f335(f335(f86(x72041),x72042),x72042))) % 209.33/209.64 [7205]~P77(x72051)+P106(f335(f335(f244(x72051),f2(x72051)),x72052))+~P106(f335(f335(f244(x72051),f2(x72051)),f335(f335(f86(x72051),x72052),x72052))) % 209.33/209.64 [7255]~P106(f335(f66(x72551),x72552))+P106(f335(f66(x72551),f250(f934(x72551,a922))))+~P106(f335(f66(x72551),f335(f85(f934(x72551,a922)),x72552))) % 209.33/209.64 [7319]P106(f335(f335(f243(a1),x73191),f2(a1)))+~P106(f335(f335(f244(a1),x73192),f2(a1)))+~P106(f335(f335(f243(a1),f2(a1)),f335(f335(f41(a1),x73191),x73192))) % 209.33/209.64 [7325]~P106(f335(f335(f244(a1),f2(a1)),x73251))+P106(f335(f335(f243(a1),x73251),x73252))+~P106(f335(f335(f244(a1),f2(a1)),f335(f335(f41(a1),x73252),x73251))) % 209.33/209.64 [7326]~P106(f335(f335(f243(a1),f2(a1)),x73262))+P106(f335(f335(f243(a1),x73261),x73262))+~P106(f335(f335(f244(a1),f2(a1)),f335(f335(f41(a1),x73262),x73261))) % 209.33/209.64 [7356]P106(f335(f335(f243(a1),f2(a1)),x73561))+~P106(f335(f335(f244(a1),f2(a1)),x73562))+~P106(f335(f335(f243(a1),f2(a1)),f335(f335(f41(a1),x73561),x73562))) % 209.33/209.64 [7357]P106(f335(f335(f244(a1),f2(a1)),x73571))+~P106(f335(f335(f243(a1),f2(a1)),x73572))+~P106(f335(f335(f244(a1),f2(a1)),f335(f335(f41(a1),x73572),x73571))) % 209.33/209.64 [7798]~P106(f335(f66(x77982),f250(f934(x77982,a922))))+~P106(f335(f66(x77981),f250(f934(x77981,a922))))+P106(f335(f66(f933(x77981,x77982)),f250(f934(f933(x77981,x77982),a922)))) % 209.33/209.64 [7799]~P106(f335(f66(x77992),f250(f934(x77992,a922))))+~P106(f335(f66(x77991),f250(f934(x77991,a922))))+P106(f335(f66(f935(x77991,x77992)),f250(f934(f935(x77991,x77992),a922)))) % 209.33/209.64 [7869]~P106(f335(f335(f244(a927),f335(a119,f2(a927))),x78691))+~P106(f335(f335(f244(a927),f335(a119,f2(a927))),x78692))+P106(f335(f335(f244(a927),x78691),f335(f335(f87(a927),x78692),x78691))) % 209.33/209.64 [7870]~P106(f335(f335(f244(a927),f335(a119,f2(a927))),x78701))+~P106(f335(f335(f244(a927),f335(a119,f2(a927))),x78702))+P106(f335(f335(f244(a927),x78701),f335(f335(f87(a927),x78701),x78702))) % 209.33/209.64 [7903]E(f335(f40(x79031),f250(f934(x79031,a922))),f335(a119,f2(a927)))+P106(f335(f66(x79032),f250(f934(x79032,a922))))+~P106(f335(f66(f934(x79032,x79031)),f250(f934(f934(x79032,x79031),a922)))) % 209.33/209.64 [8028]~P106(f335(f335(f243(a927),f335(a119,f2(a927))),x80281))+~P106(f335(f335(f243(a927),f335(a119,f2(a927))),x80282))+P106(f335(f335(f243(a927),f335(a119,f2(a927))),f335(f335(f87(a927),x80281),x80282))) % 209.33/209.64 [8029]~P106(f335(f335(f244(a927),f335(a119,f2(a927))),x80292))+~P106(f335(f335(f244(a927),f335(a119,f2(a927))),x80291))+P106(f335(f335(f244(a927),f335(a119,f2(a927))),f335(f335(f87(a927),x80291),x80292))) % 209.33/209.64 [8703]E(x87031,f120(x87032))+~P106(f335(f144(x87032),x87031))+E(f184(x87032,f335(f335(f8(a922,a922,x87032),a330),f335(f335(f7(x87032,x87032,a922),a332),f151(x87032,x87031))),x87031),f121(x87032,x87031)) % 209.33/209.64 [8798]~P40(x87982)+~P40(x87981)+E(f335(f318(a927,a1,f107(a1)),f335(f335(f108(f934(a927,a922)),f335(f318(a1,a927,a111),x87981)),f335(f318(a1,a927,a111),x87982))),f335(f335(f108(f934(a1,a922)),x87981),x87982)) % 209.33/209.64 [8799]~P40(x87992)+~P40(x87991)+E(f335(f318(a927,a1,f107(a1)),f335(f335(f117(f934(a927,a922)),f335(f318(a1,a927,a111),x87991)),f335(f318(a1,a927,a111),x87992))),f335(f335(f117(f934(a1,a922)),x87991),x87992)) % 209.33/209.64 [9465]~P93(x94651)+~E(f335(f110(x94651),x94652),f84(x94651))+P28(x94651,f335(f110(x94651),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f85(a1),x94652)))) % 209.33/209.64 [9704]~P93(x97041)+E(f335(f110(x97041),x97042),f84(x97041))+~P28(x97041,f335(f110(x97041),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f85(a1),x97042)))) % 209.33/209.64 [10471]E(x104711,f2(a1))+E(x104712,f2(a1))+E(f335(f266(a1,a1,a1,a1,f25(a1),f335(f87(a1),f88(a1,x104712))),f335(f335(f335(f103(f933(a1,a1)),f335(f335(a332,f88(a1,x104711)),f88(a1,x104712))),f58(x104711,x104712)),f335(f335(f265(a1,a1,f933(a1,a1)),f335(f335(f18(a1,f934(a1,f933(a1,a1)),f934(a1,f933(a1,a1))),f335(f335(f8(f934(a1,f934(f933(a1,a1),f933(a1,a1))),f934(f934(a1,f933(a1,a1)),f934(a1,f933(a1,a1))),a1),f18(a1,f933(a1,a1),f933(a1,a1))),f335(f335(f8(f933(a1,a1),f934(a1,f934(f933(a1,a1),f933(a1,a1))),a1),f335(f7(a1,f933(a1,a1),f934(f933(a1,a1),f933(a1,a1))),f335(f335(f8(a922,f934(f933(a1,a1),f934(f933(a1,a1),f933(a1,a1))),a1),f103(f933(a1,a1))),f335(f335(f7(a1,a1,a922),a332),f2(a1))))),f335(f335(f7(a1,a1,f933(a1,a1)),f335(f335(f8(a1,f934(a1,f933(a1,a1)),a1),f260(a1,a1)),f85(a1))),f2(a1))))),f335(f335(f7(a1,f934(a1,a1),f934(a1,f933(a1,a1))),f335(f335(f8(f934(a1,f933(a1,a1)),f934(f934(a1,a1),f934(a1,f933(a1,a1))),a1),f8(a1,f933(a1,a1),a1)),f335(f335(f8(a1,f934(a1,f933(a1,a1)),a1),f260(a1,a1)),f335(f335(f7(a1,a1,a1),f335(f335(f8(a1,f934(a1,a1),a1),f23(a1)),f85(a1))),f84(a1))))),f335(f23(a1),f335(f81(a1),x104712))))),f58(x104711,x104712)))),f51(x104711,x104712)) % 209.33/209.64 [10472]E(x104721,f2(a1))+E(x104722,f2(a1))+E(f335(f266(a1,a1,a1,a1,f25(a1),f335(f87(a1),f88(a1,x104722))),f335(f335(f335(f103(f933(a1,a1)),f335(f335(a334,f335(f335(a333,f335(f335(f244(a1),f2(a1)),x104722)),f335(f335(f243(a1),f2(a1)),x104721))),f335(f335(a333,f335(f335(f244(a1),x104722),f2(a1))),f335(f335(f244(a1),x104721),f2(a1))))),f58(x104721,x104722)),f335(f335(f265(a1,a1,f933(a1,a1)),f335(f335(f18(a1,f934(a1,f933(a1,a1)),f934(a1,f933(a1,a1))),f335(f335(f8(f934(a1,f934(f933(a1,a1),f933(a1,a1))),f934(f934(a1,f933(a1,a1)),f934(a1,f933(a1,a1))),a1),f18(a1,f933(a1,a1),f933(a1,a1))),f335(f335(f8(f933(a1,a1),f934(a1,f934(f933(a1,a1),f933(a1,a1))),a1),f335(f7(a1,f933(a1,a1),f934(f933(a1,a1),f933(a1,a1))),f335(f335(f8(a922,f934(f933(a1,a1),f934(f933(a1,a1),f933(a1,a1))),a1),f103(f933(a1,a1))),f335(f335(f7(a1,a1,a922),a332),f2(a1))))),f335(f335(f7(a1,a1,f933(a1,a1)),f335(f335(f8(a1,f934(a1,f933(a1,a1)),a1),f260(a1,a1)),f85(a1))),f2(a1))))),f335(f335(f7(a1,f934(a1,a1),f934(a1,f933(a1,a1))),f335(f335(f8(f934(a1,f933(a1,a1)),f934(f934(a1,a1),f934(a1,f933(a1,a1))),a1),f8(a1,f933(a1,a1),a1)),f335(f335(f8(a1,f934(a1,f933(a1,a1)),a1),f260(a1,a1)),f335(f335(f7(a1,a1,a1),f335(f335(f8(a1,f934(a1,a1),a1),f23(a1)),f85(a1))),f84(a1))))),f335(f23(a1),f335(f81(a1),x104722))))),f58(x104721,x104722)))),f51(x104721,x104722)) % 209.33/209.64 [5953]~P122(x59531)+~P93(x59531)+E(f335(f81(x59531),f335(f335(f252(x59531),f335(f110(x59531),a104)),x59532)),f84(x59531)) % 209.33/209.64 [6446]~P140(x64461)+~P106(f335(f335(f244(a1),x64462),f2(a1)))+E(f335(f85(x64461),f335(f107(x64461),f335(a111,f335(f85(a1),x64462)))),f335(f109(x64461),x64462)) % 209.33/209.64 [6646]P106(f335(f335(f243(a106),x66461),f84(a106)))+E(f335(f335(f86(a106),f84(a106)),f280(x66461,f335(f335(f41(a106),x66462),x66461))),f280(x66461,x66462))+P106(f335(f335(f244(a106),x66462),x66461)) % 209.33/209.64 [7244]~P92(x72441)+~P106(f335(f335(f337(x72441),x72442),f116(x72441)))+~E(f335(f335(f86(x72441),f335(f335(f86(x72441),f84(x72441)),x72442)),x72442),f2(x72441)) % 209.33/209.64 [7358]~P106(f335(f335(f243(a1),x73582),f2(a1)))+~P106(f335(f335(f244(a1),x73581),f2(a1)))+E(f335(f259(a1,a1),f335(a56,f52(f335(f85(a1),x73581),f335(f85(a1),x73582)))),f335(f335(f41(a1),x73581),x73582)) % 209.33/209.64 [7375]~P106(f335(f335(f243(a1),x73752),f2(a1)))+~P106(f335(f335(f244(a1),x73751),f2(a1)))+E(f335(f264(a1,a1),f335(a56,f52(f335(f85(a1),x73751),f335(f85(a1),x73752)))),f50(a1,x73751,x73752)) % 209.33/209.64 [7381]~P106(f335(f335(f244(a1),x73812),f2(a1)))+E(f335(f259(a1,a1),f335(a56,f55(f335(f85(a1),x73811),f335(f85(a1),x73812)))),f335(f335(f41(a1),x73811),x73812))+~P106(f335(f335(f244(a1),f2(a1)),x73811)) % 209.33/209.64 [7399]~P106(f335(f335(f244(a1),x73992),f2(a1)))+E(f335(f264(a1,a1),f335(a56,f55(f335(f85(a1),x73991),f335(f85(a1),x73992)))),f50(a1,x73991,x73992))+~P106(f335(f335(f244(a1),f2(a1)),x73991)) % 209.33/209.64 [7451]E(f335(f335(f41(a1),f335(f335(f252(a1),x74511),x74512)),x74511),f335(f335(f252(a1),x74511),f335(f335(f23(a927),x74512),f335(a119,f2(a927)))))+~P106(f335(f335(f244(a927),f2(a927)),x74512))+~P106(f335(f335(f244(a1),f2(a1)),x74511)) % 209.33/209.64 [7557]~P106(f335(f335(f244(a927),f2(a927)),x75571))+~P106(f335(f335(f244(a927),f2(a927)),x75572))+P106(f335(f335(f244(a927),f335(f335(f23(a927),x75571),x75572)),x75571)) % 209.33/209.64 [7558]~P106(f335(f335(f244(a927),f2(a927)),x75581))+~P106(f335(f335(f244(a927),f84(a927)),x75582))+P106(f335(f335(f244(a927),f335(f335(f41(a927),x75581),x75582)),x75581)) % 209.33/209.64 [7559]~P106(f335(f335(f244(a1),f2(a1)),x75591))+~P106(f335(f335(f244(a1),f84(a1)),x75592))+P106(f335(f335(f244(a1),f335(f335(f41(a1),x75591),x75592)),x75591)) % 209.33/209.64 [7695]E(x76951,f2(a927))+~E(x76952,f2(a1))+~P106(f335(f335(f244(a1),f2(a1)),f335(f335(f252(a1),f335(f81(a1),x76952)),x76951))) % 209.33/209.64 [8105]~E(x81052,f120(f928(x81051)))+E(f335(f196(f928(f928(x81051))),f186(x81051,x81052)),f2(a927))+~P13(a927,f335(f175(a927),f335(f335(f161(f928(x81051),a927),f196(f928(x81051))),x81052))) % 209.33/209.64 [8353]P106(f335(x83531,x83532))+~P106(f335(x83531,f335(a114,f568(x83531,x83532))))+~P106(f335(f335(f337(f934(f933(a927,a927),a922)),x83532),a105)) % 209.33/209.64 [8369]E(x83691,f120(f928(x83692)))+E(f335(f196(f928(x83692)),f335(f335(f171(f928(x83692)),x83691),f2(a927))),f335(f196(f928(f928(x83692))),f186(x83692,x83691)))+~P13(a927,f335(f175(a927),f335(f335(f161(f928(x83692),a927),f196(f928(x83692))),x83691))) % 209.33/209.64 [8511]~P38(x85111,x85112)+~P39(x85111,x85112)+P38(x85111,f335(f335(f23(f934(f933(x85111,x85111),a922)),x85112),f315(x85111,f195(f934(f933(x85111,x85111),a922))))) % 209.33/209.64 [9083]~P106(f335(f66(x90831),f335(f270(x90831),x90832)))+~P106(f335(f66(x90831),f250(f934(x90831,a922))))+P106(f335(f66(x90831),f335(f270(x90831),f335(f335(f8(a922,a922,x90831),a330),x90832)))) % 209.33/209.64 [9149]E(f335(f335(f260(a927,a927),f335(a119,f335(f335(f41(a927),f335(f335(f23(a927),x91491),x91492)),x91492))),f50(a927,f335(f335(f23(a927),x91491),x91492),x91492)),f91(f933(a927,a927),f53(x91491,x91492)))+~P106(f335(f335(f244(a927),f2(a927)),x91492))+~P106(f335(f335(f243(a927),x91492),x91491)) % 209.33/209.64 [9431]~P106(f335(f66(x94311),f335(f270(x94311),x94312)))+P106(f335(f66(x94311),f250(f934(x94311,a922))))+~P106(f335(f66(x94311),f335(f270(x94311),f335(f335(f8(a922,a922,x94311),a330),x94312)))) % 209.33/209.64 [10147]P27(x101471,x101472)+~P37(x101471,f335(f259(f934(f933(x101471,x101471),a922),f934(f933(x101471,x101471),a922)),x101472))+~P106(f335(f335(f243(f934(f933(x101471,x101471),a922)),f335(f335(f297(x101471,x101471,x101471),f335(f259(f934(f933(x101471,x101471),a922),f934(f933(x101471,x101471),a922)),x101472)),f335(f264(f934(f933(x101471,x101471),a922),f934(f933(x101471,x101471),a922)),x101472))),f335(f259(f934(f933(x101471,x101471),a922),f934(f933(x101471,x101471),a922)),x101472))) % 209.33/209.64 [10245]~E(f305(a927,f295(a927),f335(f335(f18(a927,f934(a927,a922),f934(a927,a922)),f335(f335(f8(f934(a927,f934(a922,a922)),f934(f934(a927,a922),f934(a927,a922)),a927),f18(a927,a922,a922)),f335(f335(f8(f934(a927,a922),f934(a927,f934(a922,a922)),a927),f335(f8(a922,f934(a922,a922),a927),a333)),f295(a927)))),f335(f335(f8(f934(a927,a922),f934(a927,a922),a927),f335(f8(a922,a922,a927),a330)),f335(f7(a927,a927,a922),f295(a927)))),x102452,x102451),f195(f934(a927,a922)))+~P106(f335(f335(f295(a927),x102452),x102451))+P106(f335(f335(f295(a927),x102451),x102452)) % 209.33/209.64 [10246]~E(f308(a927,f295(a927),f335(f335(f18(a927,f934(a927,a922),f934(a927,a922)),f335(f335(f8(f934(a927,f934(a922,a922)),f934(f934(a927,a922),f934(a927,a922)),a927),f18(a927,a922,a922)),f335(f335(f8(f934(a927,a922),f934(a927,f934(a922,a922)),a927),f335(f8(a922,f934(a922,a922),a927),a333)),f295(a927)))),f335(f335(f8(f934(a927,a922),f934(a927,a922),a927),f335(f8(a922,a922,a927),a330)),f335(f7(a927,a927,a922),f295(a927)))),x102462,x102461),f195(f934(a927,a922)))+~P106(f335(f335(f295(a927),x102462),x102461))+P106(f335(f335(f295(a927),x102461),x102462)) % 209.33/209.64 [7481]~P106(f335(f335(f244(a927),f2(a927)),x74812))+P106(f335(f335(f244(a927),x74811),x74812))+E(f335(a119,f335(f335(f41(a927),f335(f335(f23(a927),x74811),x74812)),x74812)),f335(f335(f41(a927),x74811),x74812)) % 209.33/209.64 [7621]~P106(f335(f335(f244(a927),f2(a927)),x76212))+~P106(f335(f335(f243(a927),x76212),x76211))+E(f335(a119,f335(f335(f41(a927),f335(f335(f23(a927),x76211),x76212)),x76212)),f335(f335(f41(a927),x76211),x76212)) % 209.33/209.64 [8574]~P93(x85741)+~P92(x85741)+~P28(x85741,f335(f110(x85741),f335(f335(f23(a1),f335(f335(f86(a1),x85742),x85742)),a104))) % 209.33/209.64 [9341]E(x93411,f2(a927))+E(f335(f335(f265(a927,a927,f933(a927,a927)),f335(f335(f8(a927,f934(a927,f933(a927,a927)),a927),f260(a927,a927)),a119)),f91(f933(a927,a927),f53(f335(f335(f23(a927),x93412),x93411),x93411))),f91(f933(a927,a927),f53(x93412,x93411)))+P106(f335(f335(f244(a927),x93412),x93411)) % 209.33/209.64 [9517]~P38(x95171,x95172)+~P52(x95171,x95172)+P106(f335(f335(f243(f934(f933(x95171,x95171),a922)),f335(f335(f297(x95171,x95171,x95171),f335(f294(x95171,x95171),x95172)),x95172)),x95172)) % 209.33/209.64 [9768]P106(f335(x97682,f662(x97682,x97681)))+P106(f335(x97681,f662(x97682,x97681)))+E(f335(f270(a1),f335(f335(f18(a1,a922,a922),f335(f335(f8(a922,f934(a922,a922),a1),a333),f335(f243(a1),f2(a1)))),x97681)),f335(f270(a1),f335(f335(f18(a1,a922,a922),f335(f335(f8(a922,f934(a922,a922),a1),a333),f335(f243(a1),f2(a1)))),x97682))) % 209.33/209.64 [9772]~P106(f335(x97722,f662(x97722,x97721)))+~P106(f335(x97721,f662(x97722,x97721)))+E(f335(f270(a1),f335(f335(f18(a1,a922,a922),f335(f335(f8(a922,f934(a922,a922),a1),a333),f335(f243(a1),f2(a1)))),x97721)),f335(f270(a1),f335(f335(f18(a1,a922,a922),f335(f335(f8(a922,f934(a922,a922),a1),a333),f335(f243(a1),f2(a1)))),x97722))) % 209.33/209.64 [7827]~P93(x78271)+~P66(x78271)+E(f335(f335(f299(x78271),x78272),f335(f110(x78271),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))),x78272) % 209.33/209.64 [9464]~P93(x94641)+~E(f335(f110(x94641),x94642),f84(x94641))+P28(x94641,f335(f110(x94641),f335(f335(f86(a1),x94642),f335(f85(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))) % 209.33/209.64 [9646]~P139(x96461)+~E(x96462,f84(x96461))+E(f335(f335(f252(x96461),x96462),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),f84(x96461)) % 209.33/209.64 [9647]~P139(x96471)+~E(x96472,f2(x96471))+E(f335(f335(f252(x96471),x96472),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),f2(x96471)) % 209.33/209.64 [9662]~P139(x96621)+~E(x96622,f335(f85(x96621),f84(x96621)))+E(f335(f335(f252(x96621),x96622),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),f84(x96621)) % 209.33/209.64 [9705]~P93(x97051)+E(f335(f110(x97051),x97052),f84(x97051))+~P28(x97051,f335(f110(x97051),f335(f335(f86(a1),x97052),f335(f85(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))) % 209.33/209.64 [10089]~P122(x100892)+E(x100891,f2(x100892))+P106(f335(f335(f244(x100892),f2(x100892)),f335(f335(f252(x100892),x100891),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))))) % 209.33/209.64 [10146]~P122(x101462)+~E(x101461,f2(x101462))+~P106(f335(f335(f244(x101462),f2(x101462)),f335(f335(f252(x101462),x101461),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))))) % 209.33/209.64 [10183]P106(f335(f335(f243(a1),x101831),f2(a1)))+P106(f335(f335(f244(a1),x101832),x101831))+E(f335(f48(x101831),f52(x101832,f335(f335(f87(a1),f335(f110(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),x101831))),f52(x101832,x101831)) % 209.33/209.64 [10184]~P106(f335(f335(f244(a1),f2(a1)),x101841))+P106(f335(f335(f244(a1),x101842),x101841))+E(f335(f48(x101841),f52(x101842,f335(f335(f87(a1),f335(f110(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),x101841))),f52(x101842,x101841)) % 209.33/209.64 [10185]P106(f335(f335(f243(a1),x101851),f2(a1)))+P106(f335(f335(f243(a1),f2(a1)),f335(f335(f86(a1),x101852),x101851)))+E(f335(f48(x101851),f55(x101852,f335(f335(f87(a1),f335(f110(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),x101851))),f55(x101852,x101851)) % 209.33/209.64 [10186]~P106(f335(f335(f244(a1),f2(a1)),x101861))+P106(f335(f335(f243(a1),f2(a1)),f335(f335(f86(a1),x101862),x101861)))+E(f335(f48(x101861),f55(x101862,f335(f335(f87(a1),f335(f110(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),x101861))),f55(x101862,x101861)) % 209.33/209.64 [10187]~P146(x101871)+~P106(f335(f335(f243(a1),f2(a1)),x101872))+E(f335(f107(x101871),f335(a111,f335(f335(f87(a1),f335(f110(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),x101872))),f335(f335(f86(x101871),f335(f107(x101871),f335(a111,x101872))),f335(f107(x101871),f335(a111,x101872)))) % 209.33/209.64 [5288]~P147(x52881,x52883,x52882)+~E(x52883,f2(a1))+P106(f335(x52881,x52882)) % 209.33/209.64 [5412]~P108(x54121)+~P13(x54121,x54123)+P13(x54121,f177(x54121,x54122,x54123)) % 209.33/209.64 [5413]~P108(x54131)+~P13(x54131,x54133)+P13(x54131,f184(x54131,x54132,x54133)) % 209.33/209.64 [4981]~P3(x49812)+~E(x49813,f335(f85(x49812),x49811))+E(x49811,f335(f85(x49812),x49813)) % 209.33/209.64 [4983]~P3(x49831)+~E(f335(f85(x49831),x49833),x49832)+E(f335(f85(x49831),x49832),x49833) % 209.33/209.64 [5062]~P90(x50623)+E(x50621,x50622)+~E(f335(f85(x50623),x50621),f335(f85(x50623),x50622)) % 209.33/209.64 [5063]~P3(x50633)+E(x50631,x50632)+~E(f335(f85(x50633),x50631),f335(f85(x50633),x50632)) % 209.33/209.64 [5064]~P108(x50643)+E(x50641,x50642)+~E(f335(f290(x50643),x50641),f335(f290(x50643),x50642)) % 209.33/209.64 [5065]~P103(x50653)+E(x50651,x50652)+~E(f335(f107(x50653),x50651),f335(f107(x50653),x50652)) % 209.33/209.64 [5066]~P92(x50663)+E(x50661,x50662)+~E(f335(f109(x50663),x50661),f335(f109(x50663),x50662)) % 209.33/209.64 [5067]~P108(x50673)+E(x50671,x50672)+~E(f335(f312(x50673),x50671),f335(f312(x50673),x50672)) % 209.33/209.64 [5068]~P108(x50683)+E(x50681,x50682)+~E(f335(f291(x50683),x50681),f335(f291(x50683),x50682)) % 209.33/209.64 [5069]~P108(x50693)+E(x50691,x50692)+~E(f335(f309(x50693),x50691),f335(f309(x50693),x50692)) % 209.33/209.64 [5171]~P64(x51711)+~P106(f335(x51712,x51713))+P106(f335(f61(x51711),x51712)) % 209.33/209.64 [5207]~P64(x52073)+P106(f335(x52071,x52072))+~P106(f335(f62(x52073),x52071)) % 209.33/209.64 [5308]~P148(x53081,x53082,x53083)+~E(x53082,f2(a1))+P106(f335(x53081,f2(a1))) % 209.33/209.64 [5348]~E(x53481,f2(a927))+E(f400(x53481,x53482,x53483),f195(f934(x53483,a922)))+~E(f335(f40(x53483),x53482),f335(a119,x53481)) % 209.33/209.64 [5496]~E(x54962,f2(a927))+E(f335(f259(a927,a927),x54961),f2(a927))+~P106(f335(f53(x54963,x54962),x54961)) % 209.33/209.64 [5539]P106(f335(x55391,x55392))+~E(x55393,f335(f107(a1),x55392))+~P106(f335(x55391,f335(a111,x55393))) % 209.33/209.64 [6017]~E(x60173,f2(a927))+~P106(f335(x60171,x60172))+P106(f335(x60171,f50(a927,x60172,x60173))) % 209.33/209.64 [6247]~P104(x62472)+~P104(x62471)+E(f138(x62471,x62472,f139(x62471,x62473),f139(x62472,x62473)),f139(f933(x62471,x62472),x62473)) % 209.33/209.64 [6428]~E(x64283,f2(a927))+P106(f335(x64281,x64282))+~P106(f335(x64281,f50(a927,x64282,x64283))) % 209.33/209.64 [6914]E(x69141,f195(f934(x69142,a922)))+~P106(f335(f66(x69142),x69141))+P106(f335(f67(x69142,x69143,x69141),f870(x69143,x69141,x69142))) % 209.33/209.64 [7102]E(x71021,f2(a927))+~P106(f335(x71022,f469(x71021,x71023,x71022)))+P106(f335(x71022,f50(a927,x71023,x71021))) % 209.33/209.64 [7210]~P5(x72101)+~P106(f335(f335(f243(x72101),x72102),f892(x72103,x72102,x72101)))+P106(f335(f335(f243(x72101),x72102),f43(x72101,x72103))) % 209.33/209.64 [7212]~P106(f335(x72121,x72122))+~P106(f335(x72121,f469(x72123,x72122,x72121)))+P106(f335(x72121,f50(a927,x72122,x72123))) % 209.33/209.64 [7313]E(x73131,f120(x73132))+E(f335(f335(f158(x73132),f713(x73133,x73131,x73132)),f716(x73133,x73131,x73132)),x73131)+~P106(f335(f335(f337(f928(x73132)),x73131),f168(x73132,x73133))) % 209.33/209.64 [7344]~P140(x73441)+~P106(f335(f335(f337(x73441),x73442),f116(x73441)))+P106(f335(f335(f337(x73441),f335(f335(f252(x73441),x73442),x73443)),f116(x73441))) % 209.33/209.64 [7667]P37(x76671,x76672)+~P106(f335(f335(f337(x76671),x76673),f913(x76672,x76671)))+P106(f335(f335(f337(x76671),f344(x76672,x76671,x76673)),f913(x76672,x76671))) % 209.33/209.64 [7930]E(x79301,f120(x79302))+~P106(f335(f335(f337(f928(x79302)),x79301),f168(x79302,x79303)))+P106(f335(f335(f337(f928(x79302)),f716(x79303,x79301,x79302)),f168(x79302,x79303))) % 209.33/209.64 [7982]E(x79821,f2(a927))+E(f335(f335(f86(a927),f335(f335(f87(a927),x79821),f470(x79821,x79822,x79823))),f469(x79821,x79822,x79823)),x79822)+P106(f335(x79823,f50(a927,x79822,x79821))) % 209.33/209.64 [8023]~P106(f335(x80233,x80232))+E(f335(f335(f86(a927),f335(f335(f87(a927),x80231),f470(x80231,x80232,x80233))),f469(x80231,x80232,x80233)),x80232)+P106(f335(x80233,f50(a927,x80232,x80231))) % 209.33/209.64 [8160]P106(f335(f335(f244(a1),x81601),f472(x81602,x81603,x81601)))+P106(f335(f335(x81603,f335(f335(f41(a1),x81602),x81601)),f50(a1,x81602,x81601)))+~P106(f335(f335(f244(a1),x81601),f2(a1))) % 209.33/209.64 [8424]P106(f335(f335(x84242,f335(f335(f41(a1),x84241),x84243)),f50(a1,x84241,x84243)))+~P106(f335(f335(f244(a1),x84243),f2(a1)))+P106(f335(f335(f243(a1),f472(x84241,x84242,x84243)),f2(a1))) % 209.33/209.64 [8609]E(f335(f335(f86(a1),f335(f335(f87(a1),x86091),f475(x86092,x86093,x86091))),f472(x86092,x86093,x86091)),x86092)+P106(f335(f335(x86093,f335(f335(f41(a1),x86092),x86091)),f50(a1,x86092,x86091)))+~P106(f335(f335(f244(a1),x86091),f2(a1))) % 209.33/209.64 [8846]~P106(f335(f335(x88461,f475(x88462,x88461,x88463)),f472(x88462,x88461,x88463)))+P106(f335(f335(x88461,f335(f335(f41(a1),x88462),x88463)),f50(a1,x88462,x88463)))+~P106(f335(f335(f244(a1),x88463),f2(a1))) % 209.33/209.64 [9096]~P108(x90961)+~P13(x90961,x90963)+P13(x90961,f156(x90961,x90961,f5(x90961),x90962,x90963)) % 209.33/209.64 [9594]~P126(x95942)+E(x95941,f2(x95942))+~P106(f335(f335(f243(x95942),f335(f335(f86(x95942),f335(f335(f87(x95942),x95943),x95943)),f335(f335(f87(x95942),x95941),x95941))),f2(x95942))) % 209.33/209.64 [9595]~P126(x95952)+E(x95951,f2(x95952))+~P106(f335(f335(f243(x95952),f335(f335(f86(x95952),f335(f335(f87(x95952),x95951),x95951)),f335(f335(f87(x95952),x95953),x95953))),f2(x95952))) % 209.33/209.64 [10403]~P122(x104031)+~P106(f335(f335(f244(x104031),x104032),f2(x104031)))+P106(f335(f335(f244(x104031),f335(f335(f252(x104031),x104032),f335(a119,f335(f335(f87(a927),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),x104033)))),f2(x104031))) % 209.33/209.64 [10413]~P122(x104132)+E(x104131,f2(x104132))+~P106(f335(f335(f243(x104132),f335(f335(f86(x104132),f335(f335(f252(x104132),x104133),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))),f335(f335(f252(x104132),x104131),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))))),f2(x104132))) % 209.33/209.64 [10414]~P122(x104142)+E(x104141,f2(x104142))+~P106(f335(f335(f243(x104142),f335(f335(f86(x104142),f335(f335(f252(x104142),x104141),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))),f335(f335(f252(x104142),x104143),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))))),f2(x104142))) % 209.33/209.64 [5017]~E(x50172,x50173)+~P3(x50171)+E(f335(f335(f23(x50171),x50172),x50173),f2(x50171)) % 209.33/209.64 [5018]~E(x50182,x50183)+~P4(x50181)+E(f335(f335(f23(x50181),x50182),x50183),f2(x50181)) % 209.33/209.64 [5031]~P143(x50311)+~E(x50313,f2(x50311))+E(f335(f335(f86(x50311),x50312),x50313),x50312) % 209.33/209.64 [5048]~P142(x50481)+~E(x50483,f2(x50481))+E(f335(f335(f87(x50481),x50482),x50483),f2(x50481)) % 209.33/209.64 [5049]~P142(x50491)+~E(x50492,f2(x50491))+E(f335(f335(f87(x50491),x50492),x50493),f2(x50491)) % 209.33/209.64 [5071]~E(x50713,f120(x50711))+~E(x50712,f120(x50711))+E(f335(f335(f141(x50711),x50712),x50713),f120(x50711)) % 209.33/209.64 [5161]~P143(x51612)+E(x51611,f2(x51612))+~E(f335(f335(f86(x51612),x51613),x51611),x51613) % 209.33/209.64 [5162]~P3(x51621)+~E(x51622,f335(f85(x51621),x51623))+E(f335(f335(f86(x51621),x51622),x51623),f2(x51621)) % 209.33/209.64 [5169]E(x51691,f120(x51692))+E(x51693,f2(a927))+~E(f335(f335(f182(x51692),x51693),x51691),f120(x51692)) % 209.33/209.64 [5175]~P3(x51753)+E(x51751,x51752)+~E(f335(f335(f23(x51753),x51751),x51752),f2(x51753)) % 209.33/209.64 [5176]~P4(x51763)+E(x51761,x51762)+~E(f335(f335(f23(x51763),x51761),x51762),f2(x51763)) % 209.33/209.64 [5189]~P139(x51892)+E(x51891,f2(x51892))+~E(f335(f335(f252(x51892),x51891),x51893),f2(x51892)) % 209.33/209.64 [5190]~P97(x51902)+E(x51901,f195(x51902))+~E(f335(f335(f117(x51902),x51903),x51901),f195(x51902)) % 209.33/209.64 [5191]~P97(x51912)+E(x51911,f195(x51912))+~E(f335(f335(f117(x51912),x51911),x51913),f195(x51912)) % 209.33/209.64 [5192]~P99(x51922)+E(x51921,f250(x51922))+~E(f335(f335(f108(x51922),x51923),x51921),f250(x51922)) % 209.33/209.64 [5193]~P99(x51932)+E(x51931,f250(x51932))+~E(f335(f335(f108(x51932),x51931),x51933),f250(x51932)) % 209.33/209.64 [5262]~P3(x52622)+E(x52621,f335(f85(x52622),x52623))+~E(f335(f335(f86(x52622),x52621),x52623),f2(x52622)) % 209.33/209.64 [5263]~P3(x52631)+E(f335(f85(x52631),x52632),x52633)+~E(f335(f335(f86(x52631),x52632),x52633),f2(x52631)) % 209.33/209.64 [5265]~E(x52652,x52653)+~P107(x52651)+P106(f335(f335(f243(x52651),x52652),x52653)) % 209.33/209.64 [5267]~E(x52672,x52673)+~P110(x52671)+P106(f335(f335(f243(x52671),x52672),x52673)) % 209.33/209.64 [5365]~P112(x53651)+~E(x53652,f335(f85(x53651),x53653))+E(f335(f335(f87(x53651),x53652),x53652),f335(f335(f87(x53651),x53653),x53653)) % 209.33/209.64 [5373]~P108(x53731)+~P13(x53731,x53733)+P13(x53731,f335(f335(f182(x53731),x53732),x53733)) % 209.33/209.64 [5374]~P108(x53741)+~P13(x53741,x53743)+P13(x53741,f335(f335(f145(x53741),x53742),x53743)) % 209.33/209.64 [5410]E(x54101,x54102)+E(x54103,f2(a927))+~E(f335(f335(f87(a927),x54103),x54101),f335(f335(f87(a927),x54103),x54102)) % 209.33/209.64 [5411]E(x54111,x54112)+E(x54113,f2(a927))+~E(f335(f335(f87(a927),x54111),x54113),f335(f335(f87(a927),x54112),x54113)) % 209.33/209.64 [5489]~E(x54892,x54893)+~P110(x54891)+E(f311(x54891,x54892,x54893),f335(f335(f317(x54891),x54892),f195(f934(x54891,a922)))) % 209.33/209.64 [5537]~E(x55371,x55372)+~P108(x55373)+~P106(f335(f335(f244(x55373),x55371),x55372)) % 209.33/209.64 [5538]~E(x55381,x55382)+~P110(x55383)+~P106(f335(f335(f244(x55383),x55381),x55382)) % 209.33/209.64 [5550]~P110(x55501)+E(f335(f310(x55501,x55502),x55503),f195(f934(x55501,a922)))+P106(f335(f335(f244(x55501),x55502),x55503)) % 209.33/209.64 [5598]~P110(x55981)+E(f313(x55981,x55982,x55983),f195(f934(x55981,a922)))+P106(f335(f335(f244(x55981),x55982),x55983)) % 209.33/209.64 [5599]~P110(x55991)+E(f311(x55991,x55992,x55993),f195(f934(x55991,a922)))+P106(f335(f335(f243(x55991),x55992),x55993)) % 209.33/209.64 [5600]~P110(x56001)+E(f195(f934(x56001,a922)),f313(x56001,x56002,x56003))+P106(f335(f335(f244(x56001),x56002),x56003)) % 209.33/209.64 [5601]~P110(x56011)+E(f195(f934(x56011,a922)),f311(x56011,x56012,x56013))+P106(f335(f335(f243(x56011),x56012),x56013)) % 209.33/209.64 [5608]~P101(x56081)+~E(f335(f335(f108(x56081),x56082),x56083),x56082)+P106(f335(f335(f243(x56081),x56082),x56083)) % 209.33/209.64 [5609]~P102(x56091)+~E(f335(f335(f117(x56091),x56092),x56093),x56093)+P106(f335(f335(f243(x56091),x56092),x56093)) % 209.33/209.64 [5610]~P108(x56101)+~E(f335(f335(f241(x56101),x56102),x56103),x56102)+P106(f335(f335(f243(x56101),x56102),x56103)) % 209.33/209.64 [5611]~P108(x56111)+~E(f335(f335(f242(x56111),x56112),x56113),x56113)+P106(f335(f335(f243(x56111),x56112),x56113)) % 209.33/209.64 [5630]~P108(x56301)+P13(x56301,x56302)+~P13(x56301,f335(f335(f158(x56301),x56303),x56302)) % 209.33/209.64 [5631]~P108(x56311)+P13(x56311,x56312)+~P13(x56311,f335(f335(f141(x56311),x56313),x56312)) % 209.33/209.64 [5632]~P108(x56321)+P13(x56321,x56322)+~P13(x56321,f335(f335(f141(x56321),x56322),x56323)) % 209.33/209.64 [5698]~P108(x56981)+P106(f335(f335(f243(x56981),x56983),x56982))+P106(f335(f335(f243(x56981),x56982),x56983)) % 209.33/209.64 [5703]~P108(x57031)+P106(f335(f335(f244(x57031),x57033),x57032))+P106(f335(f335(f243(x57031),x57032),x57033)) % 209.33/209.64 [5741]~P101(x57411)+E(f335(f335(f108(x57411),x57412),x57413),x57413)+~P106(f335(f335(f243(x57411),x57413),x57412)) % 209.33/209.64 [5743]~P101(x57431)+E(f335(f335(f108(x57431),x57432),x57433),x57432)+~P106(f335(f335(f243(x57431),x57432),x57433)) % 209.33/209.64 [5744]~P102(x57441)+E(f335(f335(f117(x57441),x57442),x57443),x57442)+~P106(f335(f335(f243(x57441),x57443),x57442)) % 209.33/209.64 [5746]~P102(x57461)+E(f335(f335(f117(x57461),x57462),x57463),x57463)+~P106(f335(f335(f243(x57461),x57462),x57463)) % 209.33/209.64 [5747]~P108(x57471)+E(f335(f335(f241(x57471),x57472),x57473),x57473)+~P106(f335(f335(f243(x57471),x57473),x57472)) % 209.33/209.64 [5749]~P108(x57491)+E(f335(f335(f241(x57491),x57492),x57493),x57492)+~P106(f335(f335(f243(x57491),x57492),x57493)) % 209.33/209.64 [5750]~P108(x57501)+E(f335(f335(f242(x57501),x57502),x57503),x57502)+~P106(f335(f335(f243(x57501),x57503),x57502)) % 209.33/209.64 [5752]~P108(x57521)+E(f335(f335(f242(x57521),x57522),x57523),x57523)+~P106(f335(f335(f243(x57521),x57522),x57523)) % 209.33/209.64 [5759]~P119(x57592)+E(x57591,f2(x57592))+E(f335(f335(f299(x57592),f335(f85(x57592),x57593)),f335(f85(x57592),x57591)),f335(f335(f299(x57592),x57593),x57591)) % 209.33/209.64 [5810]~P110(x58101)+E(f335(f310(x58101,x58102),x58103),f195(f934(x58101,a922)))+~P106(f335(f335(f243(x58101),x58103),x58102)) % 209.33/209.64 [5842]~P110(x58421)+E(f314(x58421,x58422,x58423),f195(f934(x58421,a922)))+~P106(f335(f335(f243(x58421),x58423),x58422)) % 209.33/209.64 [5843]~P110(x58431)+E(f313(x58431,x58432,x58433),f195(f934(x58431,a922)))+~P106(f335(f335(f243(x58431),x58433),x58432)) % 209.33/209.64 [5844]~P110(x58441)+E(f311(x58441,x58442,x58443),f195(f934(x58441,a922)))+~P106(f335(f335(f244(x58441),x58443),x58442)) % 209.33/209.64 [5896]~E(f335(f335(f23(a927),x58961),x58963),x58962)+E(x58961,f335(f335(f86(a927),x58962),x58963))+~P106(f335(f335(f243(a927),x58963),x58961)) % 209.33/209.64 [5897]~E(x58971,f335(f335(f86(a927),x58973),x58972))+E(f335(f335(f23(a927),x58971),x58972),x58973)+~P106(f335(f335(f243(a927),x58972),x58971)) % 209.33/209.64 [5942]~P106(f335(x59421,x59423))+P106(f335(x59421,f445(x59421,x59422)))+~P106(f335(f335(f244(a927),x59423),x59422)) % 209.33/209.64 [5943]~P106(f335(x59431,x59433))+P106(f335(x59431,f466(x59431,x59432)))+~P106(f335(f335(f243(a927),x59433),x59432)) % 209.33/209.64 [5951]~P110(x59511)+~E(f335(f310(x59511,x59512),x59513),f195(f934(x59511,a922)))+~P106(f335(f335(f244(x59511),x59512),x59513)) % 209.33/209.64 [5956]~P107(x59561)+~P106(f335(f335(f244(x59561),x59562),x59563))+P106(f335(f335(f243(x59561),x59562),x59563)) % 209.33/209.64 [5958]~P110(x59581)+~P106(f335(f335(f244(x59581),x59582),x59583))+P106(f335(f335(f243(x59581),x59582),x59583)) % 209.33/209.64 [6067]~P110(x60671)+~E(f313(x60671,x60672,x60673),f195(f934(x60671,a922)))+~P106(f335(f335(f244(x60671),x60672),x60673)) % 209.33/209.64 [6068]~P110(x60681)+~E(f311(x60681,x60682,x60683),f195(f934(x60681,a922)))+~P106(f335(f335(f243(x60681),x60682),x60683)) % 209.33/209.64 [6069]~P110(x60691)+~E(f195(f934(x60691,a922)),f313(x60691,x60692,x60693))+~P106(f335(f335(f244(x60691),x60692),x60693)) % 209.33/209.64 [6070]~P110(x60701)+~E(f195(f934(x60701,a922)),f311(x60701,x60702,x60703))+~P106(f335(f335(f243(x60701),x60702),x60703)) % 209.33/209.64 [6080]P106(f335(x60801,x60802))+~P106(f335(x60801,f446(x60801,x60803)))+~P106(f335(f335(f244(a927),x60802),x60803)) % 209.33/209.64 [6081]P106(f335(x60811,x60812))+~P106(f335(x60811,f467(x60811,x60813)))+~P106(f335(f335(f243(a927),x60812),x60813)) % 209.33/209.64 [6089]~E(x60891,f335(a119,x60893))+P106(f335(f335(f244(a927),x60891),f335(a119,x60892)))+~P106(f335(f335(f244(a927),x60893),x60892)) % 209.33/209.64 [6108]E(x61081,x61082)+~E(f335(f335(f87(a927),x61083),x61081),f335(f335(f87(a927),x61083),x61082))+~P106(f335(f335(f244(a927),f2(a927)),x61083)) % 209.33/209.64 [6164]E(f335(x61641,f401(x61641,x61642,x61643)),f84(a927))+~E(f335(f335(f6(x61643,a927),x61641),x61642),f84(a927))+~P106(f335(f66(x61643),x61642)) % 209.33/209.64 [6180]~P5(x61801)+P106(f335(f335(f243(x61801),x61802),f42(x61801,x61803)))+~P106(f335(f335(f337(x61801),x61802),x61803)) % 209.33/209.64 [6203]~P107(x62031)+~P106(f335(f335(f244(x62031),x62033),x62032))+~P106(f335(f335(f243(x62031),x62032),x62033)) % 209.33/209.64 [6207]~P107(x62071)+~P106(f335(f335(f244(x62071),x62073),x62072))+~P106(f335(f335(f244(x62071),x62072),x62073)) % 209.33/209.64 [6210]~P108(x62101)+~P106(f335(f335(f244(x62101),x62103),x62102))+~P106(f335(f335(f243(x62101),x62102),x62103)) % 209.33/209.64 [6211]~P108(x62111)+~P106(f335(f335(f244(x62111),x62113),x62112))+~P106(f335(f335(f244(x62111),x62112),x62113)) % 209.33/209.64 [6212]~P110(x62121)+~P106(f335(f335(f244(x62121),x62123),x62122))+~P106(f335(f335(f244(x62121),x62122),x62123)) % 209.33/209.64 [6232]~E(x62322,x62323)+~E(x62321,x62322)+E(f298(a927,f295(a927),x62321,x62322),f335(f335(f317(a927),x62323),f195(f934(a927,a922)))) % 209.33/209.64 [6239]~E(f335(x62392,f402(x62392,x62393,x62391)),f2(a927))+E(f335(f335(f6(x62391,a927),x62392),x62393),f2(a927))+~P106(f335(f66(x62391),x62393)) % 209.33/209.64 [6240]~E(f335(x62402,f468(x62402,x62403,x62401)),f84(a927))+E(f335(f335(f9(x62401,a927),x62402),x62403),f84(a927))+~P106(f335(f66(x62401),x62403)) % 209.33/209.64 [6256]~P109(x62561)+~P106(f335(f335(f244(x62561),x62563),x62562))+P106(f335(f335(f337(x62561),x62562),f335(f312(x62561),x62563))) % 209.33/209.64 [6257]~P109(x62571)+~P106(f335(f335(f243(x62571),x62573),x62572))+P106(f335(f335(f337(x62571),x62572),f335(f291(x62571),x62573))) % 209.33/209.64 [6258]~P109(x62581)+~P106(f335(f335(f244(x62581),x62582),x62583))+P106(f335(f335(f337(x62581),x62582),f335(f290(x62581),x62583))) % 209.33/209.64 [6259]~P109(x62591)+~P106(f335(f335(f243(x62591),x62592),x62593))+P106(f335(f335(f337(x62591),x62592),f335(f309(x62591),x62593))) % 209.33/209.64 [6271]E(f335(x62711,f404(x62711,x62712,x62713)),f335(a119,f2(a927)))+~E(f335(f335(f6(x62713,a927),x62711),x62712),f335(a119,f2(a927)))+~P106(f335(f66(x62713),x62712)) % 209.33/209.64 [6354]~P5(x63541)+~P106(f335(f335(f337(x63541),x63543),x63542))+P106(f335(f335(f243(x63541),f43(x63541,x63542)),x63543)) % 209.33/209.64 [6374]~P106(f335(f335(f243(a927),x63741),x63743))+P106(f335(f335(f243(a927),x63741),x63742))+~P106(f335(f335(f243(a927),x63743),x63742)) % 209.33/209.64 [6375]~P106(f335(f335(f243(a1),x63751),x63753))+P106(f335(f335(f243(a1),x63751),x63752))+~P106(f335(f335(f243(a1),x63753),x63752)) % 209.33/209.64 [6395]~P109(x63951)+~P106(f335(f335(f337(x63951),x63953),f335(f291(x63951),x63952)))+P106(f335(f335(f243(x63951),x63952),x63953)) % 209.33/209.64 [6396]~P109(x63961)+~P106(f335(f335(f337(x63961),x63962),f335(f309(x63961),x63963)))+P106(f335(f335(f243(x63961),x63962),x63963)) % 209.33/209.64 [6397]~P109(x63971)+~P106(f335(f335(f337(x63971),x63973),f335(f312(x63971),x63972)))+P106(f335(f335(f244(x63971),x63972),x63973)) % 209.33/209.64 [6398]~P109(x63981)+~P106(f335(f335(f337(x63981),x63982),f335(f290(x63981),x63983)))+P106(f335(f335(f244(x63981),x63982),x63983)) % 209.33/209.64 [6471]~P106(f335(x64711,x64712))+P106(f335(x64711,f804(x64711)))+~P106(f335(f335(f337(x64713),x64712),f250(f934(x64713,a922)))) % 209.33/209.64 [6611]~P67(x66111)+P106(f335(f335(f244(x66111),f2(x66111)),f546(x66113,x66112,x66111)))+P106(f335(f335(f243(x66111),x66112),x66113)) % 209.33/209.64 [6612]~P68(x66121)+P106(f335(f335(f244(x66121),f2(x66121)),f794(x66123,x66122,x66121)))+P106(f335(f335(f243(x66121),x66122),x66123)) % 209.33/209.64 [6680]~P78(x66801)+~P106(f335(f335(f243(x66801),x66803),f335(f85(x66801),x66802)))+P106(f335(f335(f243(x66801),x66802),f335(f85(x66801),x66803))) % 209.33/209.64 [6682]~P78(x66821)+~P106(f335(f335(f244(x66821),x66823),f335(f85(x66821),x66822)))+P106(f335(f335(f244(x66821),x66822),f335(f85(x66821),x66823))) % 209.33/209.64 [6694]~P106(f335(f335(f244(a927),x66941),x66943))+~P106(f335(f335(f244(a927),x66943),x66942))+P106(f335(f335(f244(a927),f335(a119,x66941)),x66942)) % 209.33/209.64 [6720]~P125(x67201)+P106(f335(f335(f243(x67201),f335(f107(x67201),x67202)),f335(f107(x67201),x67203)))+~P106(f335(f335(f243(a927),x67202),x67203)) % 209.33/209.64 [6721]~P122(x67211)+P106(f335(f335(f243(x67211),f335(f109(x67211),x67212)),f335(f109(x67211),x67213)))+~P106(f335(f335(f243(a1),x67212),x67213)) % 209.33/209.64 [6723]~P122(x67231)+P106(f335(f335(f244(x67231),f335(f109(x67231),x67232)),f335(f109(x67231),x67233)))+~P106(f335(f335(f244(a1),x67232),x67233)) % 209.33/209.64 [6724]~P125(x67241)+P106(f335(f335(f244(x67241),f335(f107(x67241),x67242)),f335(f107(x67241),x67243)))+~P106(f335(f335(f244(a927),x67242),x67243)) % 209.33/209.64 [6730]~P108(x67301)+E(f335(f335(f117(f934(x67301,a922)),f335(f290(x67301),x67302)),f335(f310(x67301,x67302),x67303)),f335(f290(x67301),x67303))+~P106(f335(f335(f243(x67301),x67302),x67303)) % 209.33/209.64 [6760]~P78(x67601)+~P106(f335(f335(f243(x67601),x67603),x67602))+P106(f335(f335(f243(x67601),f335(f85(x67601),x67602)),f335(f85(x67601),x67603))) % 209.33/209.64 [6762]~P90(x67621)+~P106(f335(f335(f243(x67621),x67623),x67622))+P106(f335(f335(f243(x67621),f335(f85(x67621),x67622)),f335(f85(x67621),x67623))) % 209.33/209.64 [6763]~P78(x67631)+~P106(f335(f335(f244(x67631),x67633),x67632))+P106(f335(f335(f244(x67631),f335(f85(x67631),x67632)),f335(f85(x67631),x67633))) % 209.33/209.64 [6798]~P108(x67981)+E(f335(f335(f117(f934(x67981,a922)),f335(f290(x67981),x67982)),f311(x67981,x67982,x67983)),f335(f309(x67981),x67983))+~P106(f335(f335(f243(x67981),x67982),x67983)) % 209.33/209.64 [6799]~P108(x67991)+E(f335(f335(f117(f934(x67991,a922)),f335(f309(x67991),x67992)),f314(x67991,x67992,x67993)),f335(f290(x67991),x67993))+~P106(f335(f335(f244(x67991),x67992),x67993)) % 209.33/209.64 [6800]~P108(x68001)+E(f335(f335(f117(f934(x68001,a922)),f335(f309(x68001),x68002)),f313(x68001,x68002,x68003)),f335(f309(x68001),x68003))+~P106(f335(f335(f243(x68001),x68002),x68003)) % 209.33/209.64 [6833]~P108(x68331)+E(f335(f335(f117(f934(x68331,a922)),f335(f310(x68331,x68332),x68333)),f335(f291(x68331),x68333)),f335(f291(x68331),x68332))+~P106(f335(f335(f243(x68331),x68332),x68333)) % 209.33/209.64 [6987]~P108(x69871)+E(f335(f335(f117(f934(x69871,a922)),f314(x69871,x69872,x69873)),f335(f291(x69871),x69873)),f335(f312(x69871),x69872))+~P106(f335(f335(f244(x69871),x69872),x69873)) % 209.33/209.64 [6988]~P108(x69881)+E(f335(f335(f117(f934(x69881,a922)),f313(x69881,x69882,x69883)),f335(f312(x69881),x69883)),f335(f312(x69881),x69882))+~P106(f335(f335(f243(x69881),x69882),x69883)) % 209.33/209.64 [6989]~P108(x69891)+E(f335(f335(f117(f934(x69891,a922)),f311(x69891,x69892,x69893)),f335(f312(x69891),x69893)),f335(f291(x69891),x69892))+~P106(f335(f335(f243(x69891),x69892),x69893)) % 209.33/209.64 [7008]P106(f335(x70081,x70082))+~P106(f335(f335(f243(a927),x70082),x70083))+P106(f335(f335(f337(a927),f467(x70081,x70083)),f311(a927,f2(a927),x70083))) % 209.33/209.64 [7042]E(x70421,x70422)+~E(f335(f335(f171(x70423),x70421),f630(x70423,x70422,x70421)),f335(f335(f171(x70423),x70422),f630(x70423,x70422,x70421)))+~E(f335(f196(f928(x70423)),x70421),f335(f196(f928(x70423)),x70422)) % 209.33/209.64 [7047]~E(x70473,f335(f335(f41(a927),x70471),x70472))+~P106(f335(f335(f244(a927),f2(a927)),x70472))+P106(f335(f335(f244(a927),x70471),f335(f335(f87(a927),x70472),f335(a119,x70473)))) % 209.33/209.64 [7063]~P106(f335(x70631,x70633))+~P106(f335(f335(f243(a927),x70633),x70632))+P106(f335(f335(f337(a927),f466(x70631,x70632)),f311(a927,f2(a927),x70632))) % 209.33/209.64 [7100]~P106(f335(x71001,x71003))+P106(f335(x71001,f499(x71001,x71002)))+~P106(f335(f335(f337(a927),x71003),f311(a927,f2(a927),x71002))) % 209.33/209.64 [7118]~P125(x71183)+~P106(f335(f335(f243(x71183),f335(f107(x71183),x71181)),f335(f107(x71183),x71182)))+P106(f335(f335(f243(a927),x71181),x71182)) % 209.33/209.64 [7119]~P122(x71193)+~P106(f335(f335(f243(x71193),f335(f109(x71193),x71191)),f335(f109(x71193),x71192)))+P106(f335(f335(f243(a1),x71191),x71192)) % 209.33/209.64 [7121]~P125(x71213)+~P106(f335(f335(f244(x71213),f335(f107(x71213),x71211)),f335(f107(x71213),x71212)))+P106(f335(f335(f244(a927),x71211),x71212)) % 209.33/209.64 [7122]~P122(x71223)+~P106(f335(f335(f244(x71223),f335(f109(x71223),x71221)),f335(f109(x71223),x71222)))+P106(f335(f335(f244(a1),x71221),x71222)) % 209.33/209.64 [7138]~P125(x71381)+~P106(f335(f335(f244(x71381),f84(x71381)),x71382))+P106(f335(f335(f244(x71381),f84(x71381)),f335(f335(f252(x71381),x71382),f335(a119,x71383)))) % 209.33/209.64 [7140]~P78(x71401)+~P106(f335(f335(f243(x71401),f335(f85(x71401),x71403)),f335(f85(x71401),x71402)))+P106(f335(f335(f243(x71401),x71402),x71403)) % 209.33/209.64 [7141]~P90(x71411)+~P106(f335(f335(f243(x71411),f335(f85(x71411),x71413)),f335(f85(x71411),x71412)))+P106(f335(f335(f243(x71411),x71412),x71413)) % 209.33/209.64 [7142]~P78(x71421)+~P106(f335(f335(f244(x71421),f335(f85(x71421),x71423)),f335(f85(x71421),x71422)))+P106(f335(f335(f244(x71421),x71422),x71423)) % 209.33/209.64 [7166]P106(f335(x71661,x71662))+~P106(f335(x71661,f479(x71661,x71663)))+~P106(f335(f335(f337(a927),x71662),f311(a927,f2(a927),x71663))) % 209.33/209.64 [7186]~P67(x71861)+P106(f335(f335(f244(x71861),f546(x71863,x71862,x71861)),f84(x71861)))+P106(f335(f335(f243(x71861),x71862),x71863)) % 209.33/209.64 [7207]~E(f50(a927,x72073,x72072),f50(a927,x72071,x72072))+E(f335(f335(f86(a927),x72071),f335(f335(f87(a927),x72072),f587(x72071,x72072,x72073))),x72073)+~P106(f335(f335(f243(a927),x72071),x72073)) % 209.33/209.64 [7261]E(f335(f335(f6(x72611,a927),x72612),x72613),f2(a927))+~P106(f335(f66(x72611),x72613))+P106(f335(f335(f337(x72611),f402(x72612,x72613,x72611)),x72613)) % 209.33/209.64 [7262]E(f335(f335(f9(x72621,a927),x72622),x72623),f84(a927))+~P106(f335(f66(x72621),x72623))+P106(f335(f335(f337(x72621),f468(x72622,x72623,x72621)),x72623)) % 209.33/209.64 [7284]~P108(x72841)+~P106(f335(f335(f243(x72841),x72842),x72843))+P106(f335(f335(f243(f934(x72841,a922)),f335(f290(x72841),x72842)),f335(f290(x72841),x72843))) % 209.33/209.64 [7285]~P108(x72851)+~P106(f335(f335(f243(x72851),x72853),x72852))+P106(f335(f335(f243(f934(x72851,a922)),f335(f312(x72851),x72852)),f335(f312(x72851),x72853))) % 209.33/209.64 [7286]~P110(x72861)+~P106(f335(f335(f243(x72861),x72863),x72862))+P106(f335(f335(f243(f934(x72861,a922)),f335(f291(x72861),x72862)),f335(f291(x72861),x72863))) % 209.33/209.64 [7287]~P110(x72871)+~P106(f335(f335(f243(x72871),x72872),x72873))+P106(f335(f335(f243(f934(x72871,a922)),f335(f309(x72871),x72872)),f335(f309(x72871),x72873))) % 209.33/209.64 [7288]~P108(x72881)+~P106(f335(f335(f244(x72881),x72882),x72883))+P106(f335(f335(f244(f934(x72881,a922)),f335(f290(x72881),x72882)),f335(f290(x72881),x72883))) % 209.33/209.64 [7299]~P5(x72991)+P106(f335(f335(f243(x72991),x72992),f43(x72991,x72993)))+P106(f335(f335(f337(x72991),f892(x72993,x72992,x72991)),x72993)) % 209.33/209.64 [7305]~P78(x73051)+P106(f335(f335(f243(x73051),f335(f335(f23(x73051),x73052),x73053)),f2(x73051)))+~P106(f335(f335(f243(x73051),x73052),x73053)) % 209.33/209.64 [7306]~P78(x73061)+P106(f335(f335(f244(x73061),f335(f335(f23(x73061),x73062),x73063)),f2(x73061)))+~P106(f335(f335(f244(x73061),x73062),x73063)) % 209.33/209.64 [7348]P106(f335(x73481,x73482))+P106(f335(f335(f243(a927),f479(x73481,x73483)),x73483))+~P106(f335(f335(f337(a927),x73482),f311(a927,f2(a927),x73483))) % 209.33/209.64 [7388]~E(f335(f335(f6(x73881,a927),x73882),x73883),f84(a927))+~P106(f335(f66(x73881),x73883))+P106(f335(f335(f337(x73881),f401(x73882,x73883,x73881)),x73883)) % 209.33/209.64 [7389]~P106(f335(x73891,x73893))+P106(f335(f335(f243(a927),f499(x73891,x73892)),x73892))+~P106(f335(f335(f337(a927),x73893),f311(a927,f2(a927),x73892))) % 209.33/209.64 [7428]~P5(x74281)+P106(f335(f335(f337(x74281),f582(x74283,x74282,x74281)),x74282))+P106(f335(f335(f243(x74281),f42(x74281,x74282)),x74283)) % 209.33/209.64 [7462]~E(f335(f335(f6(x74621,a927),x74622),x74623),f335(a119,f2(a927)))+~P106(f335(f66(x74621),x74623))+P106(f335(f335(f337(x74621),f404(x74622,x74623,x74621)),x74623)) % 209.33/209.64 [7473]E(x74731,f2(a927))+P106(f335(x74732,f50(a927,x74733,x74731)))+P106(f335(f335(f244(a927),f469(x74731,x74733,x74732)),x74731)) % 209.33/209.64 [7587]~P106(f335(x75871,x75872))+P106(f335(x75871,f50(a927,x75872,x75873)))+P106(f335(f335(f244(a927),f469(x75873,x75872,x75871)),x75873)) % 209.33/209.64 [7699]E(x76991,f120(x76992))+~P106(f335(f335(f337(f928(x76992)),x76991),f168(x76992,x76993)))+P106(f335(f335(f337(x76992),f713(x76993,x76991,x76992)),x76993)) % 209.33/209.64 [7721]~P108(x77211)+E(f335(f335(f117(f934(x77211,a922)),f335(f335(f317(x77211),x77212),f195(f934(x77211,a922)))),f314(x77211,x77212,x77213)),f335(f310(x77211,x77212),x77213))+~P106(f335(f335(f244(x77211),x77212),x77213)) % 209.33/209.64 [7743]~P108(x77431)+E(f335(f335(f117(f934(x77431,a922)),f335(f335(f317(x77431),x77432),f195(f934(x77431,a922)))),f313(x77431,x77432,x77433)),f311(x77431,x77432,x77433))+~P106(f335(f335(f243(x77431),x77432),x77433)) % 209.33/209.64 [7849]~P108(x78491)+P106(f335(f335(f243(x78491),x78492),x78493))+~P106(f335(f335(f243(f934(x78491,a922)),f335(f312(x78491),x78493)),f335(f312(x78491),x78492))) % 209.33/209.64 [7850]~P110(x78501)+P106(f335(f335(f243(x78501),x78502),x78503))+~P106(f335(f335(f243(f934(x78501,a922)),f335(f291(x78501),x78503)),f335(f291(x78501),x78502))) % 209.33/209.64 [7851]~P108(x78511)+P106(f335(f335(f243(x78511),x78512),x78513))+~P106(f335(f335(f243(f934(x78511,a922)),f335(f290(x78511),x78512)),f335(f290(x78511),x78513))) % 209.33/209.64 [7852]~P110(x78521)+P106(f335(f335(f243(x78521),x78522),x78523))+~P106(f335(f335(f243(f934(x78521,a922)),f335(f309(x78521),x78522)),f335(f309(x78521),x78523))) % 209.33/209.64 [7853]~P108(x78531)+P106(f335(f335(f244(x78531),x78532),x78533))+~P106(f335(f335(f244(f934(x78531,a922)),f335(f290(x78531),x78532)),f335(f290(x78531),x78533))) % 209.33/209.64 [7876]~P78(x78761)+~P106(f335(f335(f243(x78761),f335(f335(f23(x78761),x78762),x78763)),f2(x78761)))+P106(f335(f335(f243(x78761),x78762),x78763)) % 209.33/209.64 [7877]~P78(x78771)+~P106(f335(f335(f244(x78771),f335(f335(f23(x78771),x78772),x78773)),f2(x78771)))+P106(f335(f335(f244(x78771),x78772),x78773)) % 209.33/209.64 [8030]E(x80301,f2(a927))+~E(f335(f149(a927,a927,f86(a927),x80302),x80303),f2(a927))+~P106(f335(f335(f337(a927),x80301),f335(f179(a927),x80303))) % 209.33/209.64 [8034]~P5(x80341)+~P106(f335(f335(f243(x80341),f582(x80343,x80342,x80341)),x80343))+P106(f335(f335(f243(x80341),f42(x80341,x80342)),x80343)) % 209.33/209.64 [8186]P106(f335(f335(f243(a1),f2(a1)),f473(x81861,x81862,x81863)))+P106(f335(f335(x81862,f335(f335(f41(a1),x81861),x81863)),f50(a1,x81861,x81863)))+~P106(f335(f335(f244(a1),f2(a1)),x81863)) % 209.33/209.64 [8274]E(x82741,x82742)+~E(f335(f196(f928(x82743)),x82741),f335(f196(f928(x82743)),x82742))+~P106(f335(f335(f265(x82743,x82743,a922),a332),f687(x82743,x82741,x82742))) % 209.33/209.64 [8342]~P37(x83422,x83423)+E(x83421,f195(f934(x83422,a922)))+~P106(f335(f335(f243(f934(x83422,a922)),x83421),f335(f293(x83422,x83422,x83423),x83421))) % 209.33/209.64 [8371]~P68(x83711)+~P106(f335(f335(f243(x83711),x83712),f335(f335(f86(x83711),x83713),f794(x83713,x83712,x83711))))+P106(f335(f335(f243(x83711),x83712),x83713)) % 209.33/209.64 [8406]P53(x84061,x84062,x84063)+P106(f335(f335(f337(x84061),f569(x84063,x84062,x84061)),x84062))+P106(f335(f335(f337(f933(x84061,x84061)),f570(x84063,x84062,x84061)),x84063)) % 209.33/209.64 [8427]P106(f335(f335(x84272,f335(f335(f41(a1),x84271),x84273)),f50(a1,x84271,x84273)))+~P106(f335(f335(f244(a1),f2(a1)),x84273))+P106(f335(f335(f244(a1),f473(x84271,x84272,x84273)),x84273)) % 209.33/209.64 [8451]E(f335(f318(a927,a927,f335(f335(f7(a927,a927,a927),f23(a927)),x84511)),f335(f310(a927,x84512),x84513)),f195(f934(a927,a922)))+P106(f335(f335(f244(a927),x84511),x84513))+P106(f335(f335(f244(a927),x84512),x84513)) % 209.33/209.64 [8563]E(f335(f318(a927,a927,f335(f335(f7(a927,a927,a927),f23(a927)),x85631)),f335(f310(a927,x85632),x85633)),f335(f335(f317(a927),f2(a927)),f195(f934(a927,a922))))+P106(f335(f335(f244(a927),x85631),x85633))+~P106(f335(f335(f244(a927),x85632),x85633)) % 209.33/209.64 [8577]~P108(x85771)+E(f156(x85771,x85771,f5(x85771),x85772,x85773),x85773)+~P106(f335(f335(f337(x85771),x85772),f335(f179(x85771),x85773))) % 209.33/209.64 [8590]P25(x85901,x85901,x85902,x85903)+~P106(f335(f66(x85901),x85903))+~P106(f335(f335(f243(f934(x85901,a922)),x85903),f335(f318(x85901,x85901,x85902),x85903))) % 209.33/209.64 [8616]E(f335(f335(f86(a1),f335(f335(f87(a1),x86161),f474(x86162,x86163,x86161))),f473(x86162,x86163,x86161)),x86162)+P106(f335(f335(x86163,f335(f335(f41(a1),x86162),x86161)),f50(a1,x86162,x86161)))+~P106(f335(f335(f244(a1),f2(a1)),x86161)) % 209.33/209.64 [8853]~P106(f335(f335(x88531,f474(x88532,x88531,x88533)),f473(x88532,x88531,x88533)))+P106(f335(f335(x88531,f335(f335(f41(a1),x88532),x88533)),f50(a1,x88532,x88533)))+~P106(f335(f335(f244(a1),f2(a1)),x88533)) % 209.33/209.64 [9736]~P106(f335(f66(x97361),x97362))+~P106(f335(f335(f337(x97361),x97363),x97362))+P106(f335(f335(f244(a927),f335(f40(x97361),f335(f335(f23(f934(x97361,a922)),x97362),f335(f335(f317(x97361),x97363),f195(f934(x97361,a922)))))),f335(f40(x97361),x97362))) % 209.33/209.64 [10344]P53(x103441,x103442,x103443)+~P106(f335(f335(f265(x103441,x103441,a922),f335(f335(f7(x103441,f934(x103441,a922),f934(x103441,a922)),f335(f335(f8(f934(a922,a922),f934(f934(x103441,a922),f934(x103441,a922)),x103441),f8(a922,a922,x103441)),f335(f335(f8(a922,f934(a922,a922),x103441),a333),f335(f335(f7(x103441,f934(x103441,a922),a922),f337(x103441)),x103442)))),f335(f335(f7(x103441,f934(x103441,a922),a922),f337(x103441)),x103442))),f570(x103443,x103442,x103441)))+P106(f335(f335(f337(x103441),f569(x103443,x103442,x103441)),x103442)) % 209.33/209.64 [5720]~P119(x57202)+E(x57201,f2(x57202))+E(f335(f335(f299(x57202),x57203),f335(f85(x57202),x57201)),f335(f85(x57202),f335(f335(f299(x57202),x57203),x57201))) % 209.33/209.64 [5858]~E(x58583,f195(f934(x58581,a922)))+~E(x58582,f195(f934(x58581,a922)))+E(f335(f335(f117(f934(x58581,a922)),x58582),x58583),f195(f934(x58581,a922))) % 209.33/209.64 [5916]~E(x59163,f2(a927))+~P106(f335(x59161,f2(a927)))+P106(f335(x59161,f335(f335(f41(a927),x59162),x59163))) % 209.33/209.64 [6059]~P68(x60592)+E(x60591,f2(x60592))+E(f335(f335(f299(x60592),f335(f81(x60592),x60593)),f335(f81(x60592),x60591)),f335(f81(x60592),f335(f335(f299(x60592),x60593),x60591))) % 209.33/209.64 [6228]~P106(f335(f66(x62281),x62283))+E(f335(f40(x62281),f335(f335(f317(x62281),x62282),x62283)),f335(a119,f335(f40(x62281),x62283)))+P106(f335(f335(f337(x62281),x62282),x62283)) % 209.33/209.64 [6303]~E(x63032,f2(a927))+P106(f335(x63031,f2(a927)))+~P106(f335(x63031,f335(f335(f41(a927),x63033),x63032))) % 209.33/209.64 [6320]~P106(f335(f66(x63201),x63203))+E(f335(f40(x63201),f335(f335(f317(x63201),x63202),x63203)),f335(f40(x63201),x63203))+~P106(f335(f335(f337(x63201),x63202),x63203)) % 209.33/209.64 [6356]~P106(f335(f66(x63561),x63563))+E(f335(f40(x63561),f335(f335(f317(x63561),x63562),x63563)),f335(f335(f86(a927),f84(a927)),f335(f40(x63561),x63563)))+P106(f335(f335(f337(x63561),x63562),x63563)) % 209.33/209.64 [6472]E(f335(f335(f86(a927),x64721),f392(x64721,x64722,x64723)),x64722)+~P106(f335(x64723,f2(a927)))+P106(f335(x64723,f335(f335(f23(a927),x64722),x64721))) % 209.33/209.64 [6473]E(f335(f335(f86(a927),x64731),f393(x64731,x64732,x64733)),x64732)+~P106(f335(x64733,f2(a927)))+P106(f335(x64733,f335(f335(f23(a927),x64732),x64731))) % 209.33/209.64 [6519]~P5(x65191)+~P106(f335(f66(x65191),x65193))+E(f335(f335(f69(x65191,x65191,f108(x65191)),x65192),x65193),f335(f335(f108(x65191),x65192),f43(x65191,x65193))) % 209.33/209.64 [6520]~P5(x65201)+~P106(f335(f66(x65201),x65203))+E(f335(f335(f69(x65201,x65201,f117(x65201)),x65202),x65203),f335(f335(f117(x65201),x65202),f42(x65201,x65203))) % 209.33/209.64 [6526]~P93(x65261)+~E(f335(f110(x65261),x65262),f335(f110(x65261),x65263))+P28(x65261,f335(f110(x65261),f335(f335(f86(a1),x65262),f335(f85(a1),x65263)))) % 209.33/209.64 [6535]~P140(x65351)+E(f335(f335(f23(x65351),f335(f107(x65351),x65352)),f335(f107(x65351),x65353)),f335(f107(x65351),f335(f335(f23(a927),x65352),x65353)))+~P106(f335(f335(f243(a927),x65353),x65352)) % 209.33/209.64 [6622]E(f335(f335(f86(a927),x66221),f392(x66221,x66222,x66223)),x66222)+P106(f335(f335(f244(a927),x66222),x66221))+P106(f335(x66223,f335(f335(f23(a927),x66222),x66221))) % 209.33/209.64 [6623]E(f335(f335(f86(a927),x66231),f393(x66231,x66232,x66233)),x66232)+P106(f335(f335(f244(a927),x66232),x66231))+P106(f335(x66233,f335(f335(f23(a927),x66232),x66231))) % 209.33/209.64 [6638]~P122(x66381)+E(f335(f335(f87(x66381),f335(f81(x66381),x66382)),x66383),f335(f81(x66381),f335(f335(f87(x66381),x66382),x66383)))+~P106(f335(f335(f243(x66381),f2(x66381)),x66383)) % 209.33/209.64 [6639]~P67(x66391)+E(f335(f335(f299(x66391),f335(f81(x66391),x66392)),x66393),f335(f81(x66391),f335(f335(f299(x66391),x66392),x66393)))+~P106(f335(f335(f244(x66391),f2(x66391)),x66393)) % 209.33/209.64 [6647]~P96(x66471)+~P106(f335(f66(x66471),x66473))+E(f335(f335(f69(x66471,x66471,f117(x66471)),x66472),x66473),f13(x66471,f335(f335(f317(x66471),x66472),x66473))) % 209.33/209.64 [6648]~P96(x66481)+~P106(f335(f66(x66481),x66483))+E(f335(f335(f69(x66481,x66481,f108(x66481)),x66482),x66483),f10(x66481,f335(f335(f317(x66481),x66482),x66483))) % 209.33/209.64 [6649]~P108(x66491)+~P106(f335(f66(x66491),x66493))+E(f335(f335(f69(x66491,x66491,f241(x66491)),x66492),x66493),f14(x66491,f335(f335(f317(x66491),x66492),x66493))) % 209.33/209.64 [6650]~P108(x66501)+~P106(f335(f66(x66501),x66503))+E(f335(f335(f69(x66501,x66501,f242(x66501)),x66502),x66503),f15(x66501,f335(f335(f317(x66501),x66502),x66503))) % 209.33/209.64 [6696]E(x66961,f120(x66962))+~E(f186(x66962,x66963),f120(f928(x66962)))+~P106(f335(f335(f337(f928(x66962)),x66961),f335(f179(f928(x66962)),x66963))) % 209.33/209.64 [6738]~P106(f335(f144(x67381),x67383))+P106(f335(f335(f337(x67381),x67382),f335(f179(x67381),x67383)))+P106(f335(f144(x67381),f335(f335(f158(x67381),x67382),x67383))) % 209.33/209.64 [6749]~P95(x67491)+~P106(f335(f66(x67491),x67493))+E(f335(f68(x67491,f87(x67491)),f335(f335(f317(x67491),x67492),x67493)),f335(f335(f69(x67491,x67491,f87(x67491)),x67492),x67493)) % 209.33/209.64 [6771]~P108(x67711)+~P106(f335(f66(x67711),x67713))+E(f11(x67711,f241(x67711),f335(f335(f317(x67711),x67712),x67713)),f335(f335(f69(x67711,x67711,f241(x67711)),x67712),x67713)) % 209.33/209.64 [6772]~P108(x67721)+~P106(f335(f66(x67721),x67723))+E(f12(x67721,f242(x67721),f335(f335(f317(x67721),x67722),x67723)),f335(f335(f69(x67721,x67721,f242(x67721)),x67722),x67723)) % 209.33/209.64 [6774]P106(f335(x67741,f2(a927)))+~P106(f335(f335(f244(a927),x67742),x67743))+~P106(f335(x67741,f335(f335(f23(a927),x67742),x67743))) % 209.33/209.64 [6796]~P85(x67961)+P106(f335(f335(f243(x67961),x67962),x67963))+~P106(f335(f335(f243(x67961),f335(f81(x67961),x67962)),x67963)) % 209.33/209.64 [6797]~P122(x67971)+P106(f335(f335(f244(x67971),x67972),x67973))+~P106(f335(f335(f244(x67971),f335(f81(x67971),x67972)),x67973)) % 209.33/209.64 [6814]E(x68141,f120(x68142))+E(f335(f148(x68142),f335(f335(f145(x68142),x68143),x68141)),f335(f335(f171(x68142),x68141),x68143))+~P106(f335(f335(f244(a927),x68143),f335(f196(f928(x68142)),x68141))) % 209.33/209.64 [6866]~P106(f335(x68661,x68663))+P106(f335(x68661,f452(x68661,x68662)))+~P106(f335(f335(f337(a927),x68663),f335(f310(a927,f2(a927)),x68662))) % 209.33/209.64 [6886]P106(f335(x68861,x68862))+~P106(f335(f335(f244(a927),x68862),x68863))+P106(f335(f335(f337(a927),f446(x68861,x68863)),f335(f310(a927,f2(a927)),x68863))) % 209.33/209.64 [6901]~P125(x69011)+~P106(f335(f335(f243(x69011),f84(x69011)),x69012))+P106(f335(f335(f243(x69011),f84(x69011)),f335(f335(f252(x69011),x69012),x69013))) % 209.33/209.64 [6903]~P125(x69031)+~P106(f335(f335(f243(x69031),f2(x69031)),x69032))+P106(f335(f335(f243(x69031),f2(x69031)),f335(f335(f252(x69031),x69032),x69033))) % 209.33/209.64 [6905]~P125(x69051)+~P106(f335(f335(f244(x69051),f2(x69051)),x69052))+P106(f335(f335(f244(x69051),f2(x69051)),f335(f335(f252(x69051),x69052),x69053))) % 209.33/209.64 [6930]~P106(f335(x69301,x69303))+~P106(f335(f335(f244(a927),x69303),x69302))+P106(f335(f335(f337(a927),f445(x69301,x69302)),f335(f310(a927,f2(a927)),x69302))) % 209.33/209.64 [6938]P106(f335(f66(x69381),x69382))+~P106(f335(f66(x69381),x69383))+~P106(f335(f335(f243(f934(x69381,a922)),x69382),x69383)) % 209.33/209.64 [6945]P106(f335(x69451,x69452))+~P106(f335(x69451,f447(x69451,x69453)))+~P106(f335(f335(f337(a927),x69452),f335(f310(a927,f2(a927)),x69453))) % 209.33/209.64 [6958]E(x69581,f2(a927))+P106(f335(x69582,f454(x69581,x69583,x69582)))+~P106(f335(x69582,f335(f335(f41(a927),x69583),x69581))) % 209.33/209.64 [6965]~P126(x69652)+E(x69651,f2(x69652))+~E(f335(f335(f86(x69652),f335(f335(f87(x69652),x69653),x69653)),f335(f335(f87(x69652),x69651),x69651)),f2(x69652)) % 209.33/209.64 [6966]~P126(x69662)+E(x69661,f2(x69662))+~E(f335(f335(f86(x69662),f335(f335(f87(x69662),x69661),x69661)),f335(f335(f87(x69662),x69663),x69663)),f2(x69662)) % 209.33/209.64 [7009]E(x70091,f2(a927))+~P106(f335(x70092,f455(x70091,x70093,x70092)))+P106(f335(x70092,f335(f335(f41(a927),x70093),x70091))) % 209.33/209.64 [7014]~P108(x70141)+~P13(x70141,x70143)+P13(x70141,f335(f335(f155(x70141,x70141,f5(x70141)),x70142),x70143)) % 209.33/209.64 [7056]P106(f335(x70561,f454(x70562,x70563,x70561)))+P106(f335(x70561,f2(a927)))+~P106(f335(x70561,f335(f335(f41(a927),x70563),x70562))) % 209.33/209.64 [7062]~P93(x70621)+E(f335(f110(x70621),x70622),f335(f110(x70621),x70623))+~P28(x70621,f335(f110(x70621),f335(f335(f86(a1),x70622),f335(f85(a1),x70623)))) % 209.33/209.64 [7125]E(x71251,f2(a1))+E(x71252,f2(a1))+~P106(f335(f54(x71252,x71252),f335(f335(f260(a1,a1),x71253),x71251))) % 209.33/209.64 [7126]E(x71261,f84(a1))+E(x71262,f2(a1))+~P106(f335(f54(x71262,x71262),f335(f335(f260(a1,a1),x71261),x71263))) % 209.33/209.64 [7139]P106(f335(x71391,x71392))+P106(f335(f335(f244(a927),f447(x71391,x71393)),x71393))+~P106(f335(f335(f337(a927),x71392),f335(f310(a927,f2(a927)),x71393))) % 209.33/209.64 [7162]~P106(f335(x71621,f392(x71623,x71622,x71621)))+~P106(f335(x71621,f2(a927)))+P106(f335(x71621,f335(f335(f23(a927),x71622),x71623))) % 209.33/209.64 [7163]~P106(f335(x71631,f393(x71633,x71632,x71631)))+~P106(f335(x71631,f2(a927)))+P106(f335(x71631,f335(f335(f23(a927),x71632),x71633))) % 209.33/209.64 [7164]~P106(f335(x71641,f455(x71643,x71642,x71641)))+~P106(f335(x71641,f2(a927)))+P106(f335(x71641,f335(f335(f41(a927),x71642),x71643))) % 209.33/209.64 [7182]~P106(f335(x71821,x71823))+P106(f335(f335(f244(a927),f452(x71821,x71822)),x71822))+~P106(f335(f335(f337(a927),x71823),f335(f310(a927,f2(a927)),x71822))) % 209.33/209.64 [7183]E(f335(f335(f23(a927),f335(f335(f23(a927),x71831),x71832)),f335(f335(f23(a927),x71833),x71832)),f335(f335(f23(a927),x71831),x71833))+~P106(f335(f335(f243(a927),x71832),x71831))+~P106(f335(f335(f243(a927),x71832),x71833)) % 209.33/209.64 [7220]~P78(x72201)+~P106(f335(f335(f243(x72201),f335(f85(x72201),x72203)),x72202))+P106(f335(f335(f243(x72201),f335(f85(x72201),x72202)),x72203)) % 209.33/209.64 [7222]~P85(x72221)+~P106(f335(f335(f243(x72221),f335(f81(x72221),x72222)),x72223))+P106(f335(f335(f243(x72221),f335(f85(x72221),x72222)),x72223)) % 209.33/209.64 [7224]~P78(x72241)+~P106(f335(f335(f244(x72241),f335(f85(x72241),x72243)),x72242))+P106(f335(f335(f244(x72241),f335(f85(x72241),x72242)),x72243)) % 209.33/209.64 [7225]~P122(x72251)+~P106(f335(f335(f244(x72251),f335(f81(x72251),x72252)),x72253))+P106(f335(f335(f244(x72251),f335(f85(x72251),x72252)),x72253)) % 209.33/209.64 [7256]~P106(f335(x72563,f392(x72562,x72561,x72563)))+P106(f335(f335(f244(a927),x72561),x72562))+P106(f335(x72563,f335(f335(f23(a927),x72561),x72562))) % 209.33/209.64 [7257]~P106(f335(x72573,f393(x72572,x72571,x72573)))+P106(f335(f335(f244(a927),x72571),x72572))+P106(f335(x72573,f335(f335(f23(a927),x72571),x72572))) % 209.33/209.64 [7309]~E(f588(x73093,x73092,x73091),f589(x73093,x73092,x73091))+E(f335(f335(f108(f934(x73091,a922)),x73092),f42(f934(x73091,a922),x73093)),f195(f934(x73091,a922)))+P106(f335(f335(f337(f934(x73091,a922)),x73092),x73093)) % 209.33/209.64 [7317]~P106(f335(f66(x73171),x73173))+P106(f335(f66(x73171),f43(f934(x73171,a922),x73172)))+~P106(f335(f335(f337(f934(x73171,a922)),x73173),x73172)) % 209.33/209.64 [7377]~P108(x73771)+E(f335(f335(f117(f934(x73771,a922)),f335(f310(x73771,x73772),x73773)),f335(f335(f317(x73771),x73773),f195(f934(x73771,a922)))),f311(x73771,x73772,x73773))+~P106(f335(f335(f243(x73771),x73772),x73773)) % 209.33/209.64 [7378]E(x73781,f2(a927))+P106(f335(f335(f244(a927),f460(x73781,x73783,x73782)),x73781))+P106(f335(x73782,f335(f335(f41(a927),x73783),x73781))) % 209.33/209.64 [7407]P106(f335(f335(f244(a927),f335(f196(f928(x74071)),x74072)),f806(x74073,x74071)))+~P106(f335(f66(f928(x74071)),x74073))+~P106(f335(f335(f337(f928(x74071)),x74072),x74073)) % 209.33/209.64 [7413]E(x74131,x74132)+~P106(f335(f335(f243(f934(x74133,a922)),x74131),x74132))+P106(f335(f335(f244(f934(x74133,a922)),x74131),x74132)) % 209.33/209.64 [7425]E(x74251,x74252)+~E(f335(f196(f928(x74253)),x74251),f335(f196(f928(x74253)),x74252))+P106(f335(f335(f244(a927),f630(x74253,x74251,x74252)),f335(f196(f928(x74253)),x74252))) % 209.33/209.64 [7474]P8(x74741,x74742,x74743)+~E(f335(f272(x74741,x74741),x74743),x74742)+~E(f335(f335(f297(x74741,x74741,x74741),f335(f294(x74741,x74741),x74743)),x74743),x74743) % 209.33/209.64 [7556]~P106(f335(x75561,f2(a927)))+P106(f335(f335(f244(a927),f460(x75563,x75562,x75561)),x75563))+P106(f335(x75561,f335(f335(f41(a927),x75562),x75563))) % 209.33/209.64 [7566]~P108(x75661)+E(f335(f335(f117(f934(x75661,a922)),f314(x75661,x75662,x75663)),f335(f335(f317(x75661),x75663),f195(f934(x75661,a922)))),f313(x75661,x75662,x75663))+~P106(f335(f335(f244(x75661),x75662),x75663)) % 209.33/209.64 [7656]~P106(f335(f66(x76561),x76563))+P106(f335(f335(f243(a927),f335(f40(x76561),x76562)),f335(f40(x76561),x76563)))+~P106(f335(f335(f243(f934(x76561,a922)),x76562),x76563)) % 209.33/209.64 [7657]~P106(f335(f66(x76571),x76573))+P106(f335(f335(f244(a927),f335(f40(x76571),x76572)),f335(f40(x76571),x76573)))+~P106(f335(f335(f244(f934(x76571,a922)),x76572),x76573)) % 209.33/209.64 [7786]E(x77861,x77862)+~P106(f335(f335(f243(f934(x77863,a922)),x77862),x77861))+~P106(f335(f335(f243(f934(x77863,a922)),x77861),x77862)) % 209.33/209.64 [7789]~P108(x77891)+P13(x77891,x77892)+~P13(x77891,f335(f335(f155(x77891,x77891,f5(x77891)),x77893),x77892)) % 209.33/209.64 [7858]~P106(f335(f335(f244(a927),x78583),x78582))+~P106(f335(f335(f244(a927),x78583),x78581))+P106(f335(f335(f244(a927),f335(f335(f23(a927),x78581),x78582)),f335(f335(f23(a927),x78581),x78583))) % 209.33/209.64 [7859]~P106(f335(f335(f243(a927),x78592),x78591))+~P106(f335(f335(f244(a927),x78591),x78593))+P106(f335(f335(f244(a927),f335(f335(f23(a927),x78591),x78592)),f335(f335(f23(a927),x78593),x78592))) % 209.33/209.64 [7874]~P106(f335(f335(f244(a1),x78742),f2(a1)))+~P106(f335(f335(f243(a1),x78743),x78741))+P106(f335(f335(f243(a1),f335(f335(f41(a1),x78741),x78742)),f335(f335(f41(a1),x78743),x78742))) % 209.33/209.64 [7891]~P106(f335(f335(f244(a927),f2(a927)),x78913))+~P106(f335(f335(f243(a927),x78913),x78912))+P106(f335(f335(f243(a927),f335(f335(f41(a927),x78911),x78912)),f335(f335(f41(a927),x78911),x78913))) % 209.33/209.64 [7892]~P106(f335(f335(f244(a1),f2(a1)),x78922))+~P106(f335(f335(f243(a1),x78921),x78923))+P106(f335(f335(f243(a1),f335(f335(f41(a1),x78921),x78922)),f335(f335(f41(a1),x78923),x78922))) % 209.33/209.64 [7896]~P106(f335(f335(f244(a927),f2(a927)),x78962))+~P106(f335(f335(f244(a927),x78961),x78963))+P106(f335(f335(f244(a927),f335(f335(f87(a927),x78961),x78962)),f335(f335(f87(a927),x78963),x78962))) % 209.33/209.64 [7897]~P106(f335(f335(f244(a927),f2(a927)),x78971))+~P106(f335(f335(f244(a927),x78972),x78973))+P106(f335(f335(f244(a927),f335(f335(f87(a927),x78971),x78972)),f335(f335(f87(a927),x78971),x78973))) % 209.33/209.64 [7898]~P106(f335(f335(f244(a1),f2(a1)),x78981))+~P106(f335(f335(f244(a1),x78982),x78983))+P106(f335(f335(f244(a1),f335(f335(f87(a1),x78981),x78982)),f335(f335(f87(a1),x78981),x78983))) % 209.33/209.64 [7945]E(x79451,f2(a927))+E(f335(f335(f86(a927),f335(f335(f87(a927),x79451),f455(x79451,x79452,x79453))),f460(x79451,x79452,x79453)),x79452)+P106(f335(x79453,f335(f335(f41(a927),x79452),x79451))) % 209.33/209.64 [8004]E(f335(f335(f86(a927),f335(f335(f87(a927),x80041),f455(x80041,x80042,x80043))),f460(x80041,x80042,x80043)),x80042)+~P106(f335(x80043,f2(a927)))+P106(f335(x80043,f335(f335(f41(a927),x80042),x80041))) % 209.33/209.64 [8021]~P106(f335(f66(x80211),x80213))+P106(f335(f335(f337(x80211),f480(x80212,x80213,x80211)),x80213))+P106(f335(f335(f244(a927),f2(a927)),f335(f335(f9(x80211,a927),x80212),x80213))) % 209.33/209.64 [8022]~P106(f335(f66(x80221),x80223))+P106(f335(f335(f337(x80221),f558(x80222,x80223,x80221)),x80223))+P106(f335(f335(f244(a927),f2(a927)),f335(f335(f9(x80221,a927),x80222),x80223))) % 209.33/209.64 [8310]E(x83101,f195(f934(x83102,a922)))+E(x83101,f335(f335(f317(x83102),x83103),f195(f934(x83102,a922))))+~P106(f335(f335(f243(f934(x83102,a922)),x83101),f335(f335(f317(x83102),x83103),f195(f934(x83102,a922))))) % 209.33/209.64 [8343]~P106(f335(f335(f244(a927),f84(a927)),x83433))+P106(f335(f335(f243(a927),x83431),x83432))+~P106(f335(f335(f295(a927),f335(f335(f252(a927),x83433),x83431)),f335(f335(f252(a927),x83433),x83432))) % 209.33/209.64 [8345]~P106(f335(f335(f244(a927),f2(a927)),x83453))+P106(f335(f335(f243(a927),x83451),x83452))+~P106(f335(f335(f243(a927),f335(f335(f87(a927),x83453),x83451)),f335(f335(f87(a927),x83453),x83452))) % 209.33/209.64 [8346]~P106(f335(f335(f244(a927),f2(a927)),x83463))+P106(f335(f335(f243(a927),x83461),x83462))+~P106(f335(f335(f243(a927),f335(f335(f87(a927),x83461),x83463)),f335(f335(f87(a927),x83462),x83463))) % 209.33/209.64 [8348]~P106(f335(f335(f244(a927),f2(a927)),x83483))+P106(f335(f335(f244(a927),x83481),x83482))+~P106(f335(f335(f244(a927),f335(f335(f252(a927),x83483),x83481)),f335(f335(f252(a927),x83483),x83482))) % 209.33/209.64 [8387]~E(f335(f335(f108(f934(x83871,a922)),f589(x83873,x83872,x83871)),f588(x83873,x83872,x83871)),f195(f934(x83871,a922)))+E(f335(f335(f108(f934(x83871,a922)),x83872),f42(f934(x83871,a922),x83873)),f195(f934(x83871,a922)))+P106(f335(f335(f337(f934(x83871,a922)),x83872),x83873)) % 209.33/209.64 [8401]E(x84011,f120(x84012))+~E(f335(f149(f928(x84012),f928(x84012),f141(x84012),f120(x84012)),x84013),f120(x84012))+~P106(f335(f335(f337(f928(x84012)),x84011),f335(f179(f928(x84012)),x84013))) % 209.33/209.64 [8456]E(x84561,f195(f934(f934(x84562,a922),a922)))+P106(f335(f335(f337(f934(x84562,a922)),f906(x84563,x84561,x84562)),x84561))+P106(f335(f335(f243(f934(x84562,a922)),f43(f934(x84562,a922),x84561)),x84563)) % 209.33/209.64 [8463]~P71(x84631)+~P75(x84631)+E(f335(f335(f6(a1,x84631),f335(f335(f8(a927,x84631,a1),x84632),a111)),f335(f318(a927,a1,f107(a1)),x84633)),f335(f335(f6(a927,x84631),x84632),x84633)) % 209.33/209.64 [8464]~P71(x84641)+~P75(x84641)+E(f335(f335(f9(a1,x84641),f335(f335(f8(a927,x84641,a1),x84642),a111)),f335(f318(a927,a1,f107(a1)),x84643)),f335(f335(f9(a927,x84641),x84642),x84643)) % 209.33/209.64 [8507]~P106(f335(f66(x85071),x85073))+~P106(f335(f335(f244(a927),f2(a927)),f335(x85072,f480(x85072,x85073,x85071))))+P106(f335(f335(f244(a927),f2(a927)),f335(f335(f9(x85071,a927),x85072),x85073))) % 209.33/209.64 [8508]~P106(f335(f66(x85081),x85083))+~P106(f335(f335(f244(a927),f2(a927)),f335(x85082,f558(x85082,x85083,x85081))))+P106(f335(f335(f244(a927),f2(a927)),f335(f335(f9(x85081,a927),x85082),x85083))) % 209.33/209.64 [8544]~P66(x85442)+E(x85441,f84(x85442))+E(f335(f335(f299(x85442),f335(f335(f23(x85442),f335(f335(f252(x85442),x85441),x85443)),f84(x85442))),f335(f335(f23(x85442),x85441),f84(x85442))),f335(f335(f6(a927,x85442),f335(f252(x85442),x85441)),f335(f310(a927,f2(a927)),x85443))) % 209.33/209.64 [8601]E(x86011,f2(a927))+~P106(f335(x86013,f335(f335(f41(a927),x86012),x86011)))+P106(f335(f335(f244(a927),x86012),f335(f335(f87(a927),x86011),f335(a119,f454(x86011,x86012,x86013))))) % 209.33/209.64 [8620]P106(f335(x86201,f2(a927)))+~P106(f335(x86201,f335(f335(f41(a927),x86202),x86203)))+P106(f335(f335(f244(a927),x86202),f335(f335(f87(a927),x86203),f335(a119,f454(x86203,x86202,x86201))))) % 209.33/209.64 [8658]E(x86581,f2(a927))+~P106(f335(x86583,f335(f335(f41(a927),x86582),x86581)))+P106(f335(f335(f243(a927),f335(f335(f87(a927),x86581),f454(x86581,x86582,x86583))),x86582)) % 209.33/209.64 [8689]P106(f335(x86891,f2(a927)))+~P106(f335(x86891,f335(f335(f41(a927),x86893),x86892)))+P106(f335(f335(f243(a927),f335(f335(f87(a927),x86892),f454(x86892,x86893,x86891))),x86893)) % 209.33/209.64 [8697]~P108(x86971)+E(f335(f335(f155(x86971,x86971,f5(x86971)),x86972),x86973),f156(x86971,x86971,f5(x86971),x86972,x86973))+P106(f335(f335(f337(x86971),x86972),f335(f179(x86971),x86973))) % 209.33/209.64 [8732]~E(f335(x87323,f917(x87322,x87323,x87321)),f335(x87323,f919(x87322,x87323,x87321)))+~P60(x87321,f335(x87323,f918(x87322,x87323,x87321)))+P60(x87321,f335(f335(f44(x87322,f934(x87321,f934(x87321,a922))),f250(f934(x87322,a922))),x87323)) % 209.33/209.64 [8741]E(x87411,f195(f934(f934(x87412,a922),a922)))+~P106(f335(f335(f243(f934(x87412,a922)),f906(x87413,x87411,x87412)),x87413))+P106(f335(f335(f243(f934(x87412,a922)),f43(f934(x87412,a922),x87411)),x87413)) % 209.33/209.64 [8801]~P68(x88011)+~P106(f335(f335(f244(x88011),x88012),x88013))+P106(f335(f335(f244(x88011),x88012),f335(f335(f299(x88011),f335(f335(f86(x88011),x88012),x88013)),f335(f335(f86(x88011),f84(x88011)),f84(x88011))))) % 209.33/209.64 [8859]~P106(f335(f335(x88591,f476(x88591,x88593,x88592)),f477(x88591,x88593,x88592)))+P106(f335(f335(x88591,x88592),x88593))+~P106(f335(f323(f933(a1,a1),a230),f335(f335(f260(a1,a1),x88592),x88593))) % 209.33/209.64 [8860]~P106(f335(f335(x88601,f481(x88601,x88603,x88602)),f489(x88601,x88603,x88602)))+P106(f335(f335(x88601,x88602),x88603))+~P106(f335(f323(f933(a1,a1),a63),f335(f335(f260(a1,a1),x88602),x88603))) % 209.33/209.64 [8861]~P106(f335(f335(x88611,f490(x88611,x88613,x88612)),f491(x88611,x88613,x88612)))+P106(f335(f335(x88611,x88612),x88613))+~P106(f335(f323(f933(a1,a1),a57),f335(f335(f260(a1,a1),x88612),x88613))) % 209.33/209.64 [8862]~P106(f335(f335(x88621,f553(x88621,x88623,x88622)),f555(x88621,x88623,x88622)))+P106(f335(f335(x88621,x88622),x88623))+~P106(f335(f323(f933(a927,a927),a228),f335(f335(f260(a927,a927),x88622),x88623))) % 209.33/209.64 [8863]~P106(f335(f335(x88631,f701(x88631,x88633,x88632)),f703(x88631,x88633,x88632)))+P106(f335(f335(x88631,x88632),x88633))+~P106(f335(f323(f933(a1,a1),a189),f335(f335(f260(a1,a1),x88632),x88633))) % 209.33/209.64 [8864]~P106(f335(f335(x88641,f798(x88641,x88643,x88642)),f799(x88641,x88643,x88642)))+P106(f335(f335(x88641,x88642),x88643))+~P106(f335(f323(f933(a1,a1),a140),f335(f335(f260(a1,a1),x88642),x88643))) % 209.33/209.64 [9139]P106(f335(f335(x91391,x91392),x91393))+P106(f335(f323(f933(a927,a927),a228),f335(f335(f260(a927,a927),f553(x91391,x91393,x91392)),f555(x91391,x91393,x91392))))+~P106(f335(f323(f933(a927,a927),a228),f335(f335(f260(a927,a927),x91392),x91393))) % 209.33/209.64 [9140]P106(f335(f335(x91401,x91402),x91403))+P106(f335(f323(f933(a1,a1),a230),f335(f335(f260(a1,a1),f476(x91401,x91403,x91402)),f477(x91401,x91403,x91402))))+~P106(f335(f323(f933(a1,a1),a230),f335(f335(f260(a1,a1),x91402),x91403))) % 209.33/209.64 [9141]P106(f335(f335(x91411,x91412),x91413))+P106(f335(f323(f933(a1,a1),a63),f335(f335(f260(a1,a1),f481(x91411,x91413,x91412)),f489(x91411,x91413,x91412))))+~P106(f335(f323(f933(a1,a1),a63),f335(f335(f260(a1,a1),x91412),x91413))) % 209.33/209.64 [9142]P106(f335(f335(x91421,x91422),x91423))+P106(f335(f323(f933(a1,a1),a57),f335(f335(f260(a1,a1),f490(x91421,x91423,x91422)),f491(x91421,x91423,x91422))))+~P106(f335(f323(f933(a1,a1),a57),f335(f335(f260(a1,a1),x91422),x91423))) % 209.33/209.64 [9143]P106(f335(f335(x91431,x91432),x91433))+P106(f335(f323(f933(a1,a1),a189),f335(f335(f260(a1,a1),f701(x91431,x91433,x91432)),f703(x91431,x91433,x91432))))+~P106(f335(f323(f933(a1,a1),a189),f335(f335(f260(a1,a1),x91432),x91433))) % 209.33/209.64 [9144]P106(f335(f335(x91441,x91442),x91443))+P106(f335(f323(f933(a1,a1),a140),f335(f335(f260(a1,a1),f798(x91441,x91443,x91442)),f799(x91441,x91443,x91442))))+~P106(f335(f323(f933(a1,a1),a140),f335(f335(f260(a1,a1),x91442),x91443))) % 209.33/209.64 [9477]~P106(f335(f66(x94771),x94773))+P106(f335(f335(f337(f933(f934(x94771,a922),f934(x94771,a922))),f335(f335(f260(f934(x94771,a922),f934(x94771,a922)),x94772),x94773)),f322(x94771)))+~P106(f335(f335(f244(f934(x94771,a922)),x94772),x94773)) % 209.33/209.64 [9550]~P60(x95501,f335(x95503,f918(x95502,x95503,x95501)))+P60(x95501,f335(f335(f44(x95502,f934(x95501,f934(x95501,a922))),f250(f934(x95502,a922))),x95503))+~E(f335(f335(f108(f934(x95501,a922)),f257(x95501,x95501,f335(x95503,f917(x95502,x95503,x95501)))),f258(x95501,x95501,f335(x95503,f919(x95502,x95503,x95501)))),f195(f934(x95501,a922))) % 209.33/209.64 [9749]P53(x97491,x97492,x97493)+P106(f335(f335(f337(f933(x97491,x97491)),f570(x97493,x97492,x97491)),x97493))+~P106(f335(f335(f337(f933(x97491,x97491)),f335(f335(f260(x97491,x97491),f569(x97493,x97492,x97491)),f569(x97493,x97492,x97491))),x97493)) % 209.33/209.64 [10347]P53(x103471,x103472,x103473)+~P106(f335(f335(f265(x103471,x103471,a922),f335(f335(f7(x103471,f934(x103471,a922),f934(x103471,a922)),f335(f335(f8(f934(a922,a922),f934(f934(x103471,a922),f934(x103471,a922)),x103471),f8(a922,a922,x103471)),f335(f335(f8(a922,f934(a922,a922),x103471),a333),f335(f335(f7(x103471,f934(x103471,a922),a922),f337(x103471)),x103472)))),f335(f335(f7(x103471,f934(x103471,a922),a922),f337(x103471)),x103472))),f570(x103473,x103472,x103471)))+~P106(f335(f335(f337(f933(x103471,x103471)),f335(f335(f260(x103471,x103471),f569(x103473,x103472,x103471)),f569(x103473,x103472,x103471))),x103473)) % 209.33/209.64 [5898]~P62(x58982)+E(x58981,f2(x58982))+E(f335(f335(f41(x58982),f335(f335(f87(x58982),x58983),x58981)),x58981),x58983) % 209.33/209.64 [5899]~P62(x58992)+E(x58991,f2(x58992))+E(f335(f335(f41(x58992),f335(f335(f87(x58992),x58991),x58993)),x58991),x58993) % 209.33/209.64 [6695]~P75(x66951)+~E(f335(x66952,f2(a927)),f2(x66951))+E(f335(f335(f6(a927,x66951),x66952),f335(f310(a927,f335(a119,f2(a927))),x66953)),f335(f335(f6(a927,x66951),x66952),f335(f310(a927,f2(a927)),x66953))) % 209.33/209.64 [6826]~P62(x68262)+E(x68261,f2(x68262))+E(f335(f335(f41(x68262),f335(f335(f86(x68262),x68263),x68261)),x68261),f335(f335(f86(x68262),f335(f335(f41(x68262),x68263),x68261)),f84(x68262))) % 209.33/209.64 [6827]~P62(x68272)+E(x68271,f2(x68272))+E(f335(f335(f41(x68272),f335(f335(f86(x68272),x68271),x68273)),x68271),f335(f335(f86(x68272),f335(f335(f41(x68272),x68273),x68271)),f84(x68272))) % 209.33/209.64 [7045]~P106(f335(x70453,f2(a1)))+P106(f335(f335(f243(a927),x70451),x70452))+P106(f335(x70453,f335(f107(a1),f335(f335(f23(a927),x70452),x70451)))) % 209.33/209.64 [7145]P106(f335(f335(f244(a927),x71452),x71451))+P106(f335(f335(f243(a927),x71451),x71452))+P106(f335(x71453,f335(f107(a1),f335(f335(f23(a927),x71452),x71451)))) % 209.33/209.64 [7218]E(f335(f335(f86(a927),f335(f110(a927),x72181)),f335(f335(f86(a927),f335(f110(a927),x72182)),x72183)),f335(f335(f86(a927),f335(f110(a927),x72181)),x72183))+P106(f335(a200,f335(f110(a1),x72181)))+~P106(f335(a200,f335(f110(a1),x72182))) % 209.33/209.64 [7296]~E(x72962,f335(f335(f41(a927),x72963),x72961))+~P106(f335(f335(f244(a927),f2(a927)),x72961))+P106(f335(f335(f243(a927),f335(f335(f87(a927),x72961),x72962)),x72963)) % 209.33/209.64 [7411]~P106(f335(f66(x74111),x74113))+~P106(f335(f66(x74111),x74112))+P106(f335(f66(x74111),f335(f335(f117(f934(x74111,a922)),x74112),x74113))) % 209.33/209.64 [7459]~P38(x74591,x74593)+~P38(x74591,x74592)+P38(x74591,f335(f335(f108(f934(f933(x74591,x74591),a922)),x74592),x74593)) % 209.33/209.64 [7460]~P52(x74601,x74603)+~P52(x74601,x74602)+P52(x74601,f335(f335(f108(f934(f933(x74601,x74601),a922)),x74602),x74603)) % 209.33/209.64 [7461]~P52(x74611,x74613)+~P52(x74611,x74612)+P52(x74611,f335(f335(f117(f934(f933(x74611,x74611),a922)),x74612),x74613)) % 209.33/209.64 [7705]~P108(x77051)+~P106(f335(f66(x77051),x77052))+E(f146(x77051,f335(f335(f23(f934(x77051,a922)),x77052),f335(f335(f317(x77051),x77053),f195(f934(x77051,a922))))),f177(x77051,x77053,f146(x77051,x77052))) % 209.33/209.64 [7765]P106(f335(x77651,f2(a1)))+~P106(f335(f335(f244(a927),x77652),x77653))+~P106(f335(x77651,f335(f107(a1),f335(f335(f23(a927),x77652),x77653)))) % 209.33/209.64 [7783]~P106(f335(f66(x77831),x77832))+E(f335(f40(x77831),f335(f335(f23(f934(x77831,a922)),x77832),f335(f335(f317(x77831),x77833),f195(f934(x77831,a922))))),f335(f40(x77831),x77832))+P106(f335(f335(f337(x77831),x77833),x77832)) % 209.33/209.64 [7913]~P125(x79131)+~P106(f335(f335(f244(x79131),f84(x79131)),x79132))+P106(f335(f335(f244(x79131),f84(x79131)),f335(f335(f87(x79131),x79132),f335(f335(f252(x79131),x79132),x79133)))) % 209.33/209.64 [7955]~P106(f335(f66(x79551),x79553))+E(f335(f335(f23(a927),f335(f40(x79551),x79552)),f335(f40(x79551),x79553)),f335(f40(x79551),f335(f335(f23(f934(x79551,a922)),x79552),x79553)))+~P106(f335(f335(f243(f934(x79551,a922)),x79553),x79552)) % 209.33/209.64 [8012]~P106(f335(f335(f243(a927),x80122),x80123))+~P106(f335(f335(f243(a927),x80121),f335(f335(f23(a927),x80123),x80122)))+P106(f335(f335(f243(a927),f335(f335(f86(a927),x80121),x80122)),x80123)) % 209.33/209.64 [8063]P106(f335(f66(x80631),x80632))+~P106(f335(f66(x80631),x80633))+~P106(f335(f66(x80631),f335(f335(f23(f934(x80631,a922)),x80632),x80633))) % 209.33/209.64 [8069]~P106(f335(f66(x80691),x80692))+E(f335(f40(x80691),f335(f335(f23(f934(x80691,a922)),x80692),f335(f335(f317(x80691),x80693),f195(f934(x80691,a922))))),f335(f335(f23(a927),f335(f40(x80691),x80692)),f84(a927)))+~P106(f335(f335(f337(x80691),x80693),x80692)) % 209.33/209.64 [8144]P60(x81441,x81442)+~P60(x81441,x81443)+~P106(f335(f335(f243(f934(x81441,f934(x81441,a922))),x81442),x81443)) % 209.33/209.64 [8185]~P106(f335(f335(f243(a927),x81853),x81852))+P106(f335(f335(f243(a927),x81851),f335(f335(f23(a927),x81852),x81853)))+~P106(f335(f335(f243(a927),f335(f335(f86(a927),x81851),x81853)),x81852)) % 209.33/209.64 [8203]P37(x82031,x82032)+~P37(x82031,x82033)+~P106(f335(f335(f243(f934(f933(x82031,x82031),a922)),x82032),x82033)) % 209.33/209.64 [8204]P58(x82041,x82042)+~P58(x82041,x82043)+~P106(f335(f335(f243(f934(f933(x82041,x82041),a922)),x82042),x82043)) % 209.33/209.64 [8205]P39(x82051,x82052)+~P39(x82051,x82053)+~P106(f335(f335(f243(f934(f933(x82051,x82051),a922)),x82052),x82053)) % 209.33/209.64 [8434]~P125(x84341)+~P106(f335(f335(f244(x84341),f84(x84341)),x84342))+P106(f335(f335(f244(x84341),f335(f335(f252(x84341),x84342),x84343)),f335(f335(f87(x84341),x84342),f335(f335(f252(x84341),x84342),x84343)))) % 209.33/209.64 [8526]~P106(f335(x85261,f2(a1)))+~P106(f335(x85261,f335(f335(f23(a1),f335(f107(a1),x85262)),f335(f107(a1),x85263))))+P106(f335(x85261,f335(f107(a1),f335(f335(f23(a927),x85262),x85263)))) % 209.33/209.64 [8541]~P106(f335(f335(f243(a927),x85413),x85412))+P106(f335(x85411,f335(f335(f23(a1),f335(f107(a1),x85412)),f335(f107(a1),x85413))))+~P106(f335(x85411,f335(f107(a1),f335(f335(f23(a927),x85412),x85413)))) % 209.33/209.64 [8560]P106(f335(f335(f244(a927),x85601),x85602))+~P106(f335(x85603,f335(f335(f23(a1),f335(f107(a1),x85601)),f335(f107(a1),x85602))))+P106(f335(x85603,f335(f107(a1),f335(f335(f23(a927),x85601),x85602)))) % 209.33/209.64 [8613]~P126(x86132)+E(x86131,f2(x86132))+P106(f335(f335(f244(x86132),f2(x86132)),f335(f335(f86(x86132),f335(f335(f87(x86132),x86133),x86133)),f335(f335(f87(x86132),x86131),x86131)))) % 209.33/209.64 [8614]~P126(x86142)+E(x86141,f2(x86142))+P106(f335(f335(f244(x86142),f2(x86142)),f335(f335(f86(x86142),f335(f335(f87(x86142),x86141),x86141)),f335(f335(f87(x86142),x86143),x86143)))) % 209.33/209.64 [8714]~P106(f335(f335(f244(a927),f2(a927)),x87141))+~P106(f335(f335(f244(a1),x87142),x87143))+P106(f335(f335(f244(a1),f335(f335(f87(a1),f335(f107(a1),x87141)),x87142)),f335(f335(f87(a1),f335(f107(a1),x87141)),x87143))) % 209.33/209.64 [8770]E(f335(f335(f108(f934(x87701,a922)),x87702),f42(f934(x87701,a922),x87703)),f195(f934(x87701,a922)))+P106(f335(f335(f337(f934(x87701,a922)),x87702),x87703))+P106(f335(f335(f337(f934(x87701,a922)),f589(x87703,x87702,x87701)),f335(f335(f317(f934(x87701,a922)),x87702),x87703))) % 209.33/209.64 [8771]E(f335(f335(f108(f934(x87711,a922)),x87712),f42(f934(x87711,a922),x87713)),f195(f934(x87711,a922)))+P106(f335(f335(f337(f934(x87711,a922)),x87712),x87713))+P106(f335(f335(f337(f934(x87711,a922)),f588(x87713,x87712,x87711)),f335(f335(f317(f934(x87711,a922)),x87712),x87713))) % 209.33/209.64 [8800]E(x88001,x88002)+~E(f335(f196(f928(x88003)),x88001),f335(f196(f928(x88003)),x88002))+P106(f335(f335(f337(f933(x88003,x88003)),f687(x88003,x88001,x88002)),f335(f179(f933(x88003,x88003)),f335(f335(f188(x88003,x88003),x88002),x88001)))) % 209.33/209.64 [9050]E(f315(x90501,x90502),f315(x90501,x90503))+~P106(f335(f335(f243(f934(f933(x90501,x90501),a922)),x90503),f315(x90501,x90502)))+~P106(f335(f335(f243(f934(f933(x90501,x90501),a922)),x90502),x90503)) % 209.33/209.64 [9117]~P53(x91171,f250(f934(x91171,a922)),x91173)+P106(f335(f335(f243(f934(f933(f928(x91171),f928(x91171)),a922)),f164(x91171,x91172)),f165(x91171,x91173)))+~P106(f335(f335(f243(f934(f933(x91171,x91171),a922)),x91172),x91173)) % 209.33/209.64 [9317]P37(x93171,x93172)+~P106(f335(f335(f337(x93171),x93173),f913(x93172,x93171)))+P106(f335(f335(f337(f933(x93171,x93171)),f335(f335(f260(x93171,x93171),f344(x93172,x93171,x93173)),x93173)),x93172)) % 209.33/209.64 [9352]~P106(f335(f66(x93521),x93522))+P106(f335(f66(f934(x93521,a922)),f335(f335(f65(x93521),x93522),x93523)))+~P106(f335(f335(f243(f934(f933(x93521,x93521),a922)),x93523),f335(f335(f262(x93521,x93521),x93522),f335(f16(f934(x93521,a922),x93521),x93522)))) % 209.33/209.64 [9388]P53(x93881,x93882,x93883)+P106(f335(f335(f337(x93881),f562(x93883,x93882,x93881)),x93882))+~P106(f335(f335(f243(f934(f933(x93881,x93881),a922)),x93883),f335(f335(f262(x93881,x93881),x93882),f335(f16(f934(x93881,a922),x93881),x93882)))) % 209.33/209.64 [9389]P53(x93891,x93892,x93893)+P106(f335(f335(f337(x93891),f567(x93892,x93893,x93891)),x93892))+~P106(f335(f335(f243(f934(f933(x93891,x93891),a922)),x93893),f335(f335(f262(x93891,x93891),x93892),f335(f16(f934(x93891,a922),x93891),x93892)))) % 209.33/209.64 [9421]~P68(x94211)+~P106(f335(f335(f244(x94211),x94212),x94213))+P106(f335(f335(f244(x94211),f335(f335(f299(x94211),f335(f335(f86(x94211),x94212),x94213)),f335(f335(f86(x94211),f84(x94211)),f84(x94211)))),x94213)) % 209.33/209.64 [9450]~P67(x94501)+P106(f335(f335(f243(x94501),x94502),x94503))+~P106(f335(f335(f243(x94501),f335(f335(f87(x94501),f546(x94503,x94502,x94501)),x94502)),x94503)) % 209.33/209.64 [9585]E(f335(f196(f928(f928(x95851))),f335(f143(f928(x95851),f335(f335(f8(a927,a922,f928(x95851)),f335(f244(a927),x95852)),f196(f928(x95851)))),f186(x95851,x95853))),f335(f196(f928(x95851)),f335(f335(f171(f928(x95851)),x95853),x95852)))+~P13(a927,f335(f175(a927),f335(f335(f161(f928(x95851),a927),f196(f928(x95851))),x95853)))+~P106(f335(f335(f244(a927),x95852),f335(f196(f928(f928(x95851))),x95853))) % 209.33/209.64 [9697]~P37(x96971,x96972)+P27(x96971,f335(f335(f260(f934(f933(x96971,x96971),a922),f934(f933(x96971,x96971),a922)),x96972),x96973))+~P106(f335(f335(f243(f934(f933(x96971,x96971),a922)),f335(f335(f297(x96971,x96971,x96971),x96972),x96973)),x96972)) % 209.33/209.64 [9702]E(f335(f335(f161(f928(x97021),x97021),f335(f335(f7(f928(x97021),a927,x97021),f171(x97021)),x97022)),f335(f143(f928(x97021),f335(f335(f8(a927,a922,f928(x97021)),f335(f244(a927),x97022)),f196(f928(x97021)))),f186(x97021,x97023))),f335(f335(f171(f928(x97021)),x97023),x97022))+~P13(a927,f335(f175(a927),f335(f335(f161(f928(x97021),a927),f196(f928(x97021))),x97023)))+~P106(f335(f335(f244(a927),x97022),f335(f196(f928(f928(x97021))),x97023))) % 209.33/209.64 [9837]P53(x98371,x98372,x98373)+~P106(f335(f335(f337(f933(x98371,x98371)),f335(f335(f260(x98371,x98371),f562(x98373,x98372,x98371)),f562(x98373,x98372,x98371))),x98373))+~P106(f335(f335(f243(f934(f933(x98371,x98371),a922)),x98373),f335(f335(f262(x98371,x98371),x98372),f335(f16(f934(x98371,a922),x98371),x98372)))) % 209.33/209.64 [9838]P53(x98381,x98382,x98383)+~P106(f335(f335(f337(f933(x98381,x98381)),f335(f335(f260(x98381,x98381),f567(x98382,x98383,x98381)),f567(x98382,x98383,x98381))),x98383))+~P106(f335(f335(f243(f934(f933(x98381,x98381),a922)),x98383),f335(f335(f262(x98381,x98381),x98382),f335(f16(f934(x98381,a922),x98381),x98382)))) % 209.33/209.64 [10008]~P140(x100081)+~P124(x100081)+E(f335(f335(f299(x100081),f335(f109(x100081),f335(f335(f78(f933(a1,a1),a1,x100082,f259(a1,a1)),f221(x100082)),x100083))),f335(f109(x100081),f335(f335(f78(f933(a1,a1),a1,x100082,f264(a1,a1)),f221(x100082)),x100083))),f231(x100082,x100081,x100083)) % 209.33/209.64 [10215]~E(x102153,f2(a927))+~E(f335(f196(f928(x102151)),f335(f335(f171(f928(x102151)),x102152),f735(x102153,x102151,x102152))),x102153)+E(f335(f335(f161(a927,f928(x102151)),f335(f335(f7(a927,f928(a927),f928(x102151)),f335(f335(f8(f934(a927,x102151),f934(f928(a927),f928(x102151)),a927),f161(a927,x102151)),f335(f7(a927,a927,x102151),f335(f335(f8(f928(x102151),f934(a927,x102151),a927),f171(x102151)),f335(f171(f928(x102151)),x102152))))),f146(a927,f335(f310(a927,f2(a927)),f335(f196(f928(f928(x102151))),x102152))))),f146(a927,f335(f310(a927,f2(a927)),x102153))),f186(x102151,x102152)) % 209.33/209.64 [10216]E(x102161,f120(f928(x102162)))+~E(f335(f196(f928(x102162)),f335(f335(f171(f928(x102162)),x102161),f735(x102163,x102162,x102161))),x102163)+E(f335(f335(f161(a927,f928(x102162)),f335(f335(f7(a927,f928(a927),f928(x102162)),f335(f335(f8(f934(a927,x102162),f934(f928(a927),f928(x102162)),a927),f161(a927,x102162)),f335(f7(a927,a927,x102162),f335(f335(f8(f928(x102162),f934(a927,x102162),a927),f171(x102162)),f335(f171(f928(x102162)),x102161))))),f146(a927,f335(f310(a927,f2(a927)),f335(f196(f928(f928(x102162))),x102161))))),f146(a927,f335(f310(a927,f2(a927)),x102163))),f186(x102162,x102161)) % 209.33/209.64 [10217]~E(x102173,f2(a927))+E(f335(f335(f161(a927,f928(x102171)),f335(f335(f7(a927,f928(a927),f928(x102171)),f335(f335(f8(f934(a927,x102171),f934(f928(a927),f928(x102171)),a927),f161(a927,x102171)),f335(f7(a927,a927,x102171),f335(f335(f8(f928(x102171),f934(a927,x102171),a927),f171(x102171)),f335(f171(f928(x102171)),x102172))))),f146(a927,f335(f310(a927,f2(a927)),f335(f196(f928(f928(x102171))),x102172))))),f146(a927,f335(f310(a927,f2(a927)),x102173))),f186(x102171,x102172))+P106(f335(f335(f244(a927),f735(x102173,x102171,x102172)),f335(f196(f928(f928(x102171))),x102172))) % 209.33/209.64 [10218]E(x102181,f120(f928(x102182)))+E(f335(f335(f161(a927,f928(x102182)),f335(f335(f7(a927,f928(a927),f928(x102182)),f335(f335(f8(f934(a927,x102182),f934(f928(a927),f928(x102182)),a927),f161(a927,x102182)),f335(f7(a927,a927,x102182),f335(f335(f8(f928(x102182),f934(a927,x102182),a927),f171(x102182)),f335(f171(f928(x102182)),x102181))))),f146(a927,f335(f310(a927,f2(a927)),f335(f196(f928(f928(x102182))),x102181))))),f146(a927,f335(f310(a927,f2(a927)),x102183))),f186(x102182,x102181))+P106(f335(f335(f244(a927),f735(x102183,x102182,x102181)),f335(f196(f928(f928(x102182))),x102181))) % 209.33/209.64 [7952]E(f335(f335(f86(a927),f335(f110(a927),x79521)),f335(f335(f86(a927),f335(f110(a927),x79522)),x79523)),f335(f335(f86(a927),f335(f110(a927),f335(f335(f86(a1),x79521),x79522))),x79523))+P106(f335(a200,f335(f110(a1),x79521)))+P106(f335(a200,f335(f110(a1),x79522))) % 209.33/209.64 [8706]~P106(f335(f66(x87061),x87062))+~P106(f335(f335(f337(x87061),x87063),x87062))+E(f335(a119,f335(f40(x87061),f335(f335(f23(f934(x87061,a922)),x87062),f335(f335(f317(x87061),x87063),f195(f934(x87061,a922)))))),f335(f40(x87061),x87062)) % 209.33/209.64 [8722]~P106(f335(f66(x87221),x87222))+~P106(f335(f335(f337(x87221),x87223),x87222))+E(f335(f335(f86(a927),f84(a927)),f335(f40(x87221),f335(f335(f23(f934(x87221,a922)),x87222),f335(f335(f317(x87221),x87223),f195(f934(x87221,a922)))))),f335(f40(x87221),x87222)) % 209.33/209.64 [8809]~P108(x88091)+~P106(f335(f66(x88091),x88093))+E(f335(f335(f155(x88091,x88091,f5(x88091)),x88092),f146(x88091,f335(f335(f23(f934(x88091,a922)),x88093),f335(f335(f317(x88091),x88092),f195(f934(x88091,a922)))))),f146(x88091,f335(f335(f317(x88091),x88092),x88093))) % 209.33/209.64 [8975]~P106(f335(f66(x89751),x89753))+~P106(f335(f66(x89751),x89752))+E(f335(f335(f86(a927),f335(f40(x89751),f335(f335(f117(f934(x89751,a922)),x89752),x89753))),f335(f40(x89751),f335(f335(f108(f934(x89751,a922)),x89752),x89753))),f335(f335(f86(a927),f335(f40(x89751),x89752)),f335(f40(x89751),x89753))) % 209.33/209.64 [10163]~P25(x101631,f934(f934(x101631,a922),a922),f335(f335(f7(x101631,f934(f933(x101631,x101631),a922),f934(f934(x101631,a922),a922)),f335(f335(f8(f934(x101631,a922),f934(f934(f933(x101631,x101631),a922),f934(f934(x101631,a922),a922)),x101631),f65(x101631)),f335(f335(f7(x101631,f934(x101631,a922),f934(x101631,a922)),f317(x101631)),f195(f934(x101631,a922))))),x101633),x101632)+~P106(f335(f66(x101631),x101632))+E(f335(f40(f934(x101631,a922)),f335(f335(f65(x101631),x101632),x101633)),f335(f40(x101631),x101632)) % 209.33/209.64 [8217]~P93(x82171)+P106(f335(f335(f243(a1),f2(a1)),f335(f110(a1),x82173)))+E(f335(f335(f252(x82171),x82172),f335(f110(a927),f335(f335(f23(a1),f335(f335(f86(a1),x82173),x82173)),a104))),f84(x82171)) % 209.33/209.64 [9682]~P93(x96821)+~P106(f335(f335(f243(a1),f2(a1)),f335(f110(a1),x96823)))+E(f335(f335(f252(x96821),x96822),f335(f110(a927),f335(f335(f23(a1),f335(f335(f86(a1),x96823),x96823)),a104))),f335(f335(f92(x96821,x96821),f335(f335(f252(x96821),x96822),f335(f110(a927),x96823))),f335(f335(f18(x96821,x96821,x96821),f335(f335(f8(x96821,f934(x96821,x96821),x96821),f87(x96821)),f335(f87(x96821),x96822))),f5(x96821)))) % 209.33/209.64 [10071]~P106(f335(f144(x100711),x100713))+~P106(f335(f335(f337(x100711),x100712),f335(f179(x100711),x100713)))+E(f335(f335(f145(x100711),f335(f196(f928(x100711)),f184(x100711,f335(f335(f8(a922,a922,x100711),a330),f335(f335(f7(x100711,x100711,a922),a332),x100712)),f335(f175(x100711),x100713)))),f335(f175(x100711),x100713)),f335(f335(f158(x100711),x100712),f335(f175(x100711),f184(x100711,f335(f335(f8(a922,a922,x100711),a330),f335(f335(f7(x100711,x100711,a922),a332),x100712)),x100713)))) % 209.33/209.64 [10132]P106(f335(f335(f243(f934(f933(x101321,x101321),a922)),f315(x101321,x101322)),x101323))+~P106(f335(f335(f243(f934(f933(x101321,x101321),a922)),f315(x101321,f195(f934(f933(x101321,x101321),a922)))),x101323))+~P106(f335(f335(f243(f934(f933(x101321,x101321),a922)),f335(f335(f297(x101321,x101321,x101321),f335(f335(f108(f934(f933(x101321,x101321),a922)),f315(x101321,x101322)),x101323)),x101322)),x101323)) % 209.33/209.64 [9988]~P106(f335(f66(x99881),f335(f270(x99881),x99883)))+~P106(f335(f66(x99881),f335(f270(x99881),x99882)))+P106(f335(f66(x99881),f335(f270(x99881),f335(f335(f18(x99881,a922,a922),f335(f335(f8(a922,f934(a922,a922),x99881),a334),x99882)),x99883)))) % 209.33/209.64 [10282]P106(f335(f335(f243(f934(f933(x102821,x102821),a922)),f335(f335(f297(x102821,x102821,x102821),x102822),f315(x102821,x102822))),x102823))+~P106(f335(f335(f243(f934(f933(x102821,x102821),a922)),x102822),x102823))+~P106(f335(f335(f243(f934(f933(x102821,x102821),a922)),f335(f335(f297(x102821,x102821,x102821),f335(f335(f108(f934(f933(x102821,x102821),a922)),f335(f335(f297(x102821,x102821,x102821),x102822),f315(x102821,x102822))),x102823)),x102822)),x102823)) % 209.33/209.64 [10231]~P122(x102312)+E(x102311,f2(x102312))+~E(f335(f335(f86(x102312),f335(f335(f252(x102312),x102313),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))),f335(f335(f252(x102312),x102311),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))),f2(x102312)) % 209.33/209.64 [10232]~P122(x102322)+E(x102321,f2(x102322))+~E(f335(f335(f86(x102322),f335(f335(f252(x102322),x102321),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))),f335(f335(f252(x102322),x102323),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))),f2(x102322)) % 209.33/209.64 [10237]~P106(f335(f144(x102371),x102373))+~P106(f335(f335(f337(x102371),x102372),f335(f179(x102371),x102373)))+E(f335(f175(x102371),f335(f178(x102371),f335(f335(f145(x102371),f335(f196(f928(x102371)),f184(x102371,f335(f335(f8(a922,a922,x102371),a330),f335(f335(f7(x102371,x102371,a922),a332),x102372)),x102373))),x102373))),f184(x102371,f335(f335(f8(a922,a922,x102371),a330),f335(f335(f7(x102371,x102371,a922),a332),x102372)),f335(f175(x102371),x102373))) % 209.33/209.64 [10329]~P122(x103292)+E(x103291,f2(x103292))+P106(f335(f335(f244(x103292),f2(x103292)),f335(f335(f86(x103292),f335(f335(f252(x103292),x103293),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))),f335(f335(f252(x103292),x103291),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))))) % 209.33/209.64 [10330]~P122(x103302)+E(x103301,f2(x103302))+P106(f335(f335(f244(x103302),f2(x103302)),f335(f335(f86(x103302),f335(f335(f252(x103302),x103301),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))),f335(f335(f252(x103302),x103303),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))))) % 209.33/209.64 [10386]~P122(x103861)+P106(f335(f335(f243(x103861),f2(x103861)),x103862))+~P106(f335(f335(f243(x103861),f2(x103861)),f335(f335(f252(x103861),x103862),f335(a119,f335(f335(f87(a927),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),x103863))))) % 209.33/209.64 [5733]~P24(x57331,x57334,x57333)+P24(x57331,x57332,x57333)+~P24(x57331,x57332,x57334) % 209.33/209.64 [5199]~E(x51992,f96(x51993,x51991))+P106(f335(x51991,x51992))+~P106(f335(x51991,x51994)) % 209.33/209.64 [5444]E(f73(x54443,x54442,x54444),x54442)+E(x54441,f761(x54442,x54443,x54444))+~P106(f335(x54444,x54441)) % 209.33/209.64 [6750]E(f73(x67501,x67502,x67503),f91(x67501,x67503))+~E(f802(x67502,x67501,x67503,x67504),x67504)+~P106(f335(x67503,x67504)) % 209.33/209.64 [6959]~P37(x69592,x69594)+~P37(x69591,x69593)+P37(f933(x69591,x69592),f327(x69591,x69592,x69593,x69594)) % 209.33/209.64 [6960]~P38(x69602,x69604)+~P38(x69601,x69603)+P38(f933(x69601,x69602),f327(x69601,x69602,x69603,x69604)) % 209.33/209.64 [5384]~P7(x53844,x53841)+~E(f335(x53841,x53842),f335(x53841,x53843))+P106(f335(f335(x53841,x53842),x53843)) % 209.33/209.64 [5547]~P7(x55474,x55471)+E(f335(x55471,x55472),f335(x55471,x55473))+~P106(f335(f335(x55471,x55472),x55473)) % 209.33/209.64 [5548]~P15(x55484,x55481)+E(f335(x55481,x55482),f335(x55481,x55483))+~P106(f335(f335(x55481,x55482),x55483)) % 209.33/209.64 [5639]~P18(x56393,x56394,x56391)+E(f335(x56391,x56392),f335(f68(x56393,x56394),x56392))+~P106(f335(f66(x56393),x56392)) % 209.33/209.64 [5640]~P9(x56403,x56404,x56401)+E(f335(x56401,x56402),f335(f68(x56403,x56404),x56402))+~P106(f335(f66(x56403),x56402)) % 209.33/209.64 [5766]~P7(x57664,x57661)+~P106(f335(f335(x57661,x57663),x57662))+P106(f335(f335(x57661,x57662),x57663)) % 209.33/209.64 [5767]~P51(x57674,x57671)+~P106(f335(f335(x57671,x57673),x57672))+P106(f335(f335(x57671,x57672),x57673)) % 209.33/209.64 [5768]~P15(x57684,x57681)+~P106(f335(f335(x57681,x57683),x57682))+P106(f335(f335(x57681,x57682),x57683)) % 209.33/209.64 [5769]~P15(x57693,x57691)+P106(f335(f335(x57691,x57692),x57692))+~P106(f335(f335(x57691,x57694),x57692)) % 209.33/209.64 [5770]~P15(x57703,x57701)+P106(f335(f335(x57701,x57702),x57702))+~P106(f335(f335(x57701,x57702),x57704)) % 209.33/209.64 [5840]E(x58401,x58402)+~E(f335(f259(x58403,x58404),x58401),f335(f259(x58403,x58404),x58402))+~E(f335(f264(x58403,x58404),x58401),f335(f264(x58403,x58404),x58402)) % 209.33/209.64 [5867]E(x58671,x58672)+~P106(f335(f53(x58673,x58674),x58672))+~P106(f335(f53(x58673,x58674),x58671)) % 209.33/209.64 [6058]~P75(x60582)+E(f240(x60581,x60582,x60583,x60584),f2(x60582))+P106(f335(f66(x60581),x60584)) % 209.33/209.64 [6106]~P7(x61063,x61062)+~P106(f335(x61061,x61064))+P106(f335(x61061,f845(x61061,x61062,x61063))) % 209.33/209.64 [6198]~P106(f335(f323(x61981,x61982),x61984))+P106(f335(f323(x61981,x61982),x61983))+~P106(f335(f335(x61982,x61983),x61984)) % 209.33/209.64 [6626]P49(x66261,x66262,x66263,x66264)+P106(f335(f335(x66262,x66264),x66263))+~P106(f335(f335(x66262,x66263),x66264)) % 209.33/209.64 [6992]~P29(x69921,x69923,x69924)+P106(f335(x69921,x69922))+~P106(f335(f335(f337(a1),x69922),f311(a1,x69923,x69924))) % 209.33/209.64 [7179]~P7(x71791,x71793)+~P106(f335(x71792,x71794))+P106(f335(f335(f337(x71791),f845(x71792,x71793,x71791)),f278(x71791,x71793))) % 209.33/209.64 [8058]E(x80581,f2(a927))+~P106(f335(x80582,x80583))+P106(f335(x80582,f796(x80582,x80583,x80581,x80584))) % 209.33/209.64 [8139]~P108(x81392)+~P106(f335(f144(x81391),x81394))+P106(f335(f144(x81391),f157(x81391,x81392,x81393,x81394))) % 209.33/209.64 [8184]E(f73(x81841,x81842,x81843),f91(x81841,x81843))+~P106(f335(x81843,x81844))+P106(f335(x81843,f802(x81842,x81841,x81843,x81844))) % 209.33/209.64 [8361]~P106(f335(f66(x83612),x83614))+~P106(f335(f66(x83611),x83613))+P106(f335(f66(f935(x83611,x83612)),f321(x83611,x83612,x83613,x83614))) % 209.33/209.64 [8362]~P106(f335(f144(x83622),x83624))+~P106(f335(f144(x83621),x83623))+P106(f335(f144(f933(x83621,x83622)),f64(x83621,x83622,x83623,x83624))) % 209.33/209.64 [8365]P106(f335(f335(f337(f928(x83651)),f335(f335(f141(x83651),x83652),x83653)),f168(x83651,x83654)))+~P106(f335(f335(f337(f928(x83651)),x83653),f168(x83651,x83654)))+~P106(f335(f335(f337(f928(x83651)),x83652),f168(x83651,x83654))) % 209.33/209.64 [8644]E(x86441,f2(a927))+P106(f335(x86442,x86443))+~P106(f335(x86442,f797(x86442,x86443,x86441,x86444))) % 209.33/209.64 [8681]~P108(x86813)+~P106(f335(f144(x86811),f157(x86811,x86813,x86814,x86812)))+P106(f335(f144(x86811),x86812)) % 209.33/209.64 [8964]~P106(f335(f335(f337(f933(x89641,x89641)),f335(f335(f260(x89641,x89641),x89642),x89644)),f315(x89641,x89643)))+P106(f335(f335(f337(x89641),x89642),f324(x89641,x89643)))+~P106(f335(f335(f337(x89641),x89644),f324(x89641,x89643))) % 209.33/209.64 [5368]~P75(x53682)+E(f335(f335(f6(x53681,x53682),x53683),x53684),f2(x53682))+P106(f335(f66(x53681),x53684)) % 209.33/209.64 [5371]~P71(x53712)+E(f335(f335(f9(x53711,x53712),x53713),x53714),f84(x53712))+P106(f335(f66(x53711),x53714)) % 209.33/209.64 [5512]~P72(x55123)+E(x55121,x55122)+~E(f335(f335(f86(x55123),x55124),x55121),f335(f335(f86(x55123),x55124),x55122)) % 209.33/209.64 [5513]~P73(x55133)+E(x55131,x55132)+~E(f335(f335(f86(x55133),x55134),x55131),f335(f335(f86(x55133),x55134),x55132)) % 209.33/209.64 [5515]~P72(x55153)+E(x55151,x55152)+~E(f335(f335(f86(x55153),x55151),x55154),f335(f335(f86(x55153),x55152),x55154)) % 209.33/209.64 [5635]~P5(x56353)+E(x56351,f195(f934(x56352,a922)))+E(f335(f335(f44(x56352,x56353),x56351),f335(f16(x56353,x56352),x56354)),x56354) % 209.33/209.64 [5636]~P5(x56363)+E(x56361,f195(f934(x56362,a922)))+E(f335(f335(f45(x56362,x56363),x56361),f335(f16(x56363,x56362),x56364)),x56364) % 209.33/209.64 [5853]~P110(x58533)+E(x58531,x58532)+~E(f311(x58533,x58534,x58531),f335(f335(f317(x58533),x58532),f195(f934(x58533,a922)))) % 209.33/209.64 [5854]~P110(x58543)+E(x58541,x58542)+~E(f311(x58543,x58541,x58542),f335(f335(f317(x58543),x58544),f195(f934(x58543,a922)))) % 209.33/209.64 [5914]~P35(x59143,x59141,x59144)+P35(x59143,x59141,f335(f335(f158(x59143),x59142),x59144))+P106(f335(x59141,x59142)) % 209.33/209.64 [6016]~P31(x60161,x60162,x60164)+~P106(f335(x60162,x60163))+P31(x60161,x60162,f335(f335(f158(x60161),x60163),x60164)) % 209.33/209.64 [6154]P106(f335(x61541,x61542))+~P106(f335(f256(x61543,x61541),x61544))+~P106(f335(f335(f337(x61543),x61542),x61544)) % 209.33/209.64 [6163]~P31(x61631,x61632,x61634)+~P31(x61631,x61632,x61633)+P31(x61631,x61632,f335(f335(f141(x61631),x61633),x61634)) % 209.33/209.64 [6177]P33(x61771,x61772,x61773)+~P33(x61771,x61772,f335(f335(f158(x61771),x61774),x61773))+P106(f335(x61772,x61774)) % 209.33/209.64 [6178]P35(x61781,x61782,x61783)+~P35(x61781,x61782,f335(f335(f158(x61781),x61784),x61783))+P106(f335(x61782,x61784)) % 209.33/209.64 [6253]P33(x62531,x62532,x62533)+P33(x62531,x62532,x62534)+~P33(x62531,x62532,f335(f335(f141(x62531),x62534),x62533)) % 209.33/209.64 [6272]~P75(x62721)+E(f335(f335(f6(a927,x62721),x62722),f335(f310(a927,x62723),f335(a119,x62724))),f2(x62721))+~P106(f335(f335(f244(a927),x62724),x62723)) % 209.33/209.64 [6277]~P63(x62771)+~E(f50(x62771,x62772,x62773),f50(x62771,x62774,x62773))+E(f50(x62771,f335(f85(x62771),x62772),x62773),f50(x62771,f335(f85(x62771),x62774),x62773)) % 209.33/209.64 [6345]P106(f335(x63451,x63452))+~E(f335(f143(x63453,x63451),x63454),x63454)+~P106(f335(f335(f337(x63453),x63452),f335(f179(x63453),x63454))) % 209.33/209.64 [6364]~E(f335(f335(f86(a927),x63643),x63642),f335(f335(f86(a927),x63641),x63644))+~P106(f335(f335(f244(a927),x63643),x63644))+P106(f335(f335(f244(a927),x63641),x63642)) % 209.33/209.64 [6370]P33(x63701,x63702,x63703)+~P106(f335(x63702,x63704))+~P106(f335(f335(f337(x63701),x63704),f335(f179(x63701),x63703))) % 209.33/209.64 [6373]~P62(x63731)+E(f50(x63731,f50(x63731,x63732,x63733),x63734),f50(x63731,x63732,x63734))+~P106(f335(f335(f295(x63731),x63734),x63733)) % 209.33/209.64 [6410]~P31(x64103,x64101,x64104)+P106(f335(x64101,x64102))+~P106(f335(f335(f337(x64103),x64102),f335(f179(x64103),x64104))) % 209.33/209.64 [6412]~E(f335(f143(x64121,x64122),x64123),f120(x64121))+~P106(f335(x64122,x64124))+~P106(f335(f335(f337(x64121),x64124),f335(f179(x64121),x64123))) % 209.33/209.64 [6413]~E(f184(x64133,x64131,x64134),x64134)+P106(f335(x64131,x64132))+~P106(f335(f335(f337(x64133),x64132),f335(f179(x64133),x64134))) % 209.33/209.64 [6439]~E(x64394,f195(f934(x64392,a922)))+~E(x64393,f195(f934(x64391,a922)))+E(f321(x64391,x64392,x64393,x64394),f195(f934(f935(x64391,x64392),a922))) % 209.33/209.64 [6584]P106(f335(x65841,x65842))+~P106(f335(f167(x65843,x65841),x65844))+~P106(f335(f335(f337(x65843),x65842),f335(f179(x65843),x65844))) % 209.33/209.64 [6719]~P30(x67191,x67193,x67194)+P106(f335(x67191,x67192))+~P106(f335(f335(f337(a927),x67192),f335(f310(a927,x67193),x67194))) % 209.33/209.64 [6856]~P75(x68561)+E(f335(f335(f6(a927,x68561),x68562),f311(a927,x68563,f335(a119,x68564))),f2(x68561))+~P106(f335(f335(f244(a927),f335(a119,x68564)),x68563)) % 209.33/209.64 [6995]~P108(x69951)+E(f335(f335(f23(f934(x69951,a922)),f335(f310(x69951,x69952),x69953)),f335(f310(x69951,x69952),x69954)),f335(f310(x69951,x69954),x69953))+~P106(f335(f335(f243(x69951),x69952),x69954)) % 209.33/209.64 [7066]~E(x70663,x70664)+E(x70661,f2(a927))+P106(f335(f335(f337(x70662),x70663),f335(f179(x70662),f176(x70662,x70661,x70664)))) % 209.33/209.64 [7342]~P106(f335(f335(f337(f928(x73421)),x73424),f168(x73421,x73423)))+P106(f335(f335(f337(x73421),x73422),x73423))+~P106(f335(f335(f337(x73421),x73422),f335(f179(x73421),x73424))) % 209.33/209.64 [7349]~P37(x73491,x73492)+P106(f335(f335(f337(x73491),f914(x73492,x73491,x73493)),x73493))+~P106(f335(f335(f337(x73491),x73494),x73493)) % 209.33/209.64 [7404]~P75(x74041)+E(f335(f335(f335(f70(x74041,x74042,f86(x74041)),x74043),f2(x74041)),x74044),f335(f335(f6(x74042,x74041),x74043),x74044))+~P106(f335(f66(x74042),x74044)) % 209.33/209.64 [7406]~P71(x74061)+E(f335(f335(f335(f70(x74061,x74062,f87(x74061)),x74063),f84(x74061)),x74064),f335(f335(f9(x74062,x74061),x74063),x74064))+~P106(f335(f66(x74062),x74064)) % 209.33/209.64 [7434]P25(x74341,x74342,x74343,x74344)+~E(f335(f40(x74342),f335(f318(x74341,x74342,x74343),x74344)),f335(f40(x74341),x74344))+~P106(f335(f66(x74341),x74344)) % 209.33/209.64 [7627]~P75(x76271)+E(f335(f335(f86(x76271),f335(x76272,x76273)),f335(f335(f6(a927,x76271),x76272),f313(a927,x76273,x76274))),f335(f335(f6(a927,x76271),x76272),f311(a927,x76273,x76274)))+~P106(f335(f335(f243(a927),x76273),x76274)) % 209.33/209.64 [7637]~P75(x76371)+~P25(x76372,x76371,x76373,x76374)+E(f335(f335(f6(x76371,x76371),f25(x76371)),f335(f318(x76372,x76371,x76373),x76374)),f335(f335(f6(x76372,x76371),x76373),x76374)) % 209.33/209.64 [7638]~P71(x76381)+~P25(x76382,x76381,x76383,x76384)+E(f335(f335(f9(x76381,x76381),f25(x76381)),f335(f318(x76382,x76381,x76383),x76384)),f335(f335(f9(x76382,x76381),x76383),x76384)) % 209.33/209.64 [7687]E(f335(f40(f935(x76871,x76872)),f321(x76871,x76872,x76873,x76874)),f335(f335(f86(a927),f335(f40(x76871),x76873)),f335(f40(x76872),x76874)))+~P106(f335(f66(x76872),x76874))+~P106(f335(f66(x76871),x76873)) % 209.33/209.64 [7766]E(x77661,x77662)+P106(f335(f335(f337(x77663),x77661),f335(f179(x77663),f177(x77663,x77662,x77664))))+~P106(f335(f335(f337(x77663),x77661),f335(f179(x77663),x77664))) % 209.33/209.64 [7991]~P75(x79911)+E(f335(f335(f86(x79911),f335(f335(f6(a927,x79911),x79912),f335(f310(a927,x79913),x79914))),f335(x79912,x79914)),f335(f335(f6(a927,x79911),x79912),f335(f310(a927,x79913),f335(a119,x79914))))+P106(f335(f335(f244(a927),x79914),x79913)) % 209.33/209.64 [8040]~P25(x80401,x80402,x80403,f250(f934(x80401,a922)))+~P106(f335(f66(x80402),x80404))+P106(f335(f66(x80401),f335(f319(x80401,x80402,x80403),x80404))) % 209.33/209.64 [8154]P106(f335(f335(f337(f928(x81541)),f335(f335(f158(x81541),x81542),x81543)),f168(x81541,x81544)))+~P106(f335(f335(f337(f928(x81541)),x81543),f168(x81541,x81544)))+~P106(f335(f335(f337(x81541),x81542),x81544)) % 209.33/209.64 [8241]~E(f335(f318(x82413,x82411,x82414),f250(f934(x82413,a922))),f250(f934(x82411,a922)))+P106(f335(f66(x82411),x82412))+~P106(f335(f66(x82413),f335(f319(x82413,x82411,x82414),x82412))) % 209.33/209.64 [8333]~P25(x83331,x83333,x83334,x83332)+P106(f335(f66(x83331),x83332))+~P106(f335(f66(x83333),f335(f318(x83331,x83333,x83334),x83332))) % 209.33/209.64 [8355]~E(x83552,x83553)+P106(f335(f335(f337(f933(x83551,x83551)),f335(f335(f260(x83551,x83551),x83552),x83553)),f271(x83551,x83554)))+~P106(f335(f335(f337(x83551),x83552),x83554)) % 209.33/209.64 [8388]~P75(x83881)+E(f335(f335(f86(x83881),f335(f335(f6(a927,x83881),x83882),f311(a927,x83883,x83884))),f335(x83882,f335(a119,x83884))),f335(f335(f6(a927,x83881),x83882),f311(a927,x83883,f335(a119,x83884))))+P106(f335(f335(f244(a927),f335(a119,x83884)),x83883)) % 209.33/209.64 [8448]P106(f335(x84481,x84482))+~P106(f335(x84481,f335(f335(f171(x84483),x84484),f685(x84481,x84484,x84483))))+~P106(f335(f335(f337(x84483),x84482),f335(f179(x84483),x84484))) % 209.33/209.64 [8589]~P106(f335(f335(f337(x85891),x85892),f324(x85891,x85894)))+P106(f335(f335(f337(f928(x85891)),f335(f335(f158(x85891),x85892),x85893)),f324(f928(x85891),f164(x85891,x85894))))+~P106(f335(f335(f337(f928(x85891)),x85893),f324(f928(x85891),f164(x85891,x85894)))) % 209.33/209.64 [8604]~P25(x86042,x86043,x86044,f907(x86044,x86043,x86042,x86041))+P25(x86042,x86043,x86044,f43(f934(x86042,a922),x86041))+E(x86041,f195(f934(f934(x86042,a922),a922))) % 209.33/209.64 [8873]E(x88731,x88732)+~P106(f335(f335(f337(f933(x88733,x88733)),f335(f335(f260(x88733,x88733),x88731),x88732)),f315(x88733,x88734)))+P106(f335(f335(f337(x88733),x88731),f335(f272(x88733,x88733),x88734))) % 209.33/209.64 [9155]E(x91551,f2(a927))+P106(f335(x91552,x91553))+P106(f335(f335(f337(x91554),f797(x91552,x91553,x91551,x91554)),f335(f179(x91554),f176(x91554,x91551,x91553)))) % 209.33/209.64 [9167]E(x91671,f2(a927))+~P106(f335(x91673,x91674))+P106(f335(f335(f337(x91672),f796(x91673,x91674,x91671,x91672)),f335(f179(x91672),f176(x91672,x91671,x91674)))) % 209.33/209.64 [9169]~P26(x91691,x91692,x91693,f250(f934(x91691,a922)),f250(f934(x91692,a922)))+~P106(f335(f66(x91692),x91694))+P106(f335(f66(x91691),f335(f319(x91691,x91692,x91693),x91694))) % 209.33/209.64 [9172]P25(x91722,x91723,x91724,f43(f934(x91722,a922),x91721))+E(x91721,f195(f934(f934(x91722,a922),a922)))+P106(f335(f335(f337(f934(x91722,a922)),f907(x91724,x91723,x91722,x91721)),x91721)) % 209.33/209.64 [9287]~P26(x92873,x92871,x92874,f250(f934(x92873,a922)),f250(f934(x92871,a922)))+P106(f335(f66(x92871),x92872))+~P106(f335(f66(x92873),f335(f319(x92873,x92871,x92874),x92872))) % 209.33/209.64 [9304]P106(f335(f66(x93041),x93042))+~P106(f335(f66(x93044),f335(f318(x93041,x93044,x93043),x93042)))+P106(f335(f335(f337(x93041),f571(x93043,x93044,x93042,x93041)),x93042)) % 209.33/209.64 [9399]~P5(x93992)+E(f335(f335(f69(x93991,x93992,f335(f335(f8(x93992,f934(x93992,x93992),x93991),f117(x93992)),x93993)),f195(x93992)),x93994),f335(f335(f44(x93991,x93992),x93994),x93993))+~P106(f335(f66(x93991),x93994)) % 209.33/209.64 [9400]~P5(x94002)+E(f335(f335(f69(x94001,x94002,f335(f335(f8(x94002,f934(x94002,x94002),x94001),f108(x94002)),x94003)),f250(x94002)),x94004),f335(f335(f45(x94001,x94002),x94004),x94003))+~P106(f335(f66(x94001),x94004)) % 209.33/209.64 [9480]P106(f335(x94801,x94802))+~P106(f335(x94801,f335(f335(f171(x94803),x94804),f721(x94802,x94801,x94804,x94803))))+~P106(f335(f335(f337(x94803),x94802),f335(f179(x94803),x94804))) % 209.33/209.64 [9501]E(x95011,x95012)+~P106(f335(f335(f337(f933(x95013,x95013)),f335(f335(f260(x95013,x95013),x95011),x95012)),f315(x95013,x95014)))+P106(f335(f335(f337(f933(x95013,x95013)),f335(f335(f260(x95013,x95013),x95011),x95012)),f335(f335(f297(x95013,x95013,x95013),x95014),f315(x95013,x95014)))) % 209.33/209.64 [9551]~E(f335(f196(f928(x95511)),x95512),f335(f196(f928(x95511)),x95513))+~P106(f335(f335(f337(f933(f928(x95511),f928(x95511))),f335(f335(f260(f928(x95511),f928(x95511)),x95512),x95513)),f154(x95511,x95514)))+P106(f335(f335(f337(f933(f928(x95511),f928(x95511))),f335(f335(f260(f928(x95511),f928(x95511)),x95512),x95513)),f152(x95511,x95514))) % 209.33/209.64 [9785]P31(x97851,f335(f335(f18(x97851,a922,a922),f335(f335(f8(a922,f934(a922,a922),x97851),a334),f335(f335(f8(a922,a922,x97851),a330),x97852))),f335(a332,x97853)),x97854)+~P106(f335(x97852,x97853))+~P35(x97851,x97852,f335(f335(f158(x97851),x97853),x97854)) % 209.33/209.64 [9952]~P31(x99521,f335(f335(f18(x99521,a922,a922),f335(f335(f8(a922,f934(a922,a922),x99521),a334),f335(f335(f8(a922,a922,x99521),a330),x99522))),f335(a332,x99523)),x99524)+~P106(f335(x99522,x99523))+P35(x99521,x99522,f335(f335(f158(x99521),x99523),x99524)) % 209.33/209.64 [9956]~P35(x99561,x99562,x99564)+~P31(x99561,f335(f335(f18(x99561,a922,a922),f335(f335(f8(a922,f934(a922,a922),x99561),a334),f335(f335(f8(a922,a922,x99561),a330),x99562))),f335(a332,x99563)),x99564)+P35(x99561,x99562,f335(f335(f158(x99561),x99563),x99564)) % 209.33/209.64 [9989]~P4(x99891)+E(f335(f335(f6(a927,x99891),f335(f335(f18(a927,x99891,x99891),f335(f335(f8(x99891,f934(x99891,x99891),a927),f23(x99891)),x99892)),f335(f335(f8(a927,x99891,a927),x99892),f335(f335(f7(a927,a927,a927),f86(a927)),f84(a927))))),f311(a927,x99893,x99894)),f2(x99891))+P106(f335(f335(f243(a927),x99893),x99894)) % 209.33/209.64 [10230]~P37(x102302,x102304)+~P25(x102302,x102301,x102303,f250(f934(x102302,a922)))+P37(x102301,f335(f318(f933(x102302,x102302),f933(x102301,x102301),f266(x102302,x102301,x102302,x102301,x102303,x102303)),x102304)) % 209.33/209.64 [10426]~E(f335(f196(f928(x104261)),x104263),f335(f196(f928(x104261)),x104262))+P106(f335(f335(f337(f933(f928(x104261),f928(x104261))),f335(f335(f260(f928(x104261),f928(x104261)),x104262),x104263)),f165(x104261,x104264)))+~P106(f335(f335(f265(x104261,x104261,a922),f335(f335(f7(x104261,f934(f933(x104261,x104261),a922),f934(x104261,a922)),f335(f335(f8(f934(x104261,f934(f934(f933(x104261,x104261),a922),a922)),f934(f934(f933(x104261,x104261),a922),f934(x104261,a922)),x104261),f7(x104261,f934(f933(x104261,x104261),a922),a922)),f335(f335(f8(f934(x104261,f933(x104261,x104261)),f934(x104261,f934(f934(f933(x104261,x104261),a922),a922)),x104261),f335(f8(f933(x104261,x104261),f934(f934(f933(x104261,x104261),a922),a922),x104261),f337(f933(x104261,x104261)))),f260(x104261,x104261)))),x104264)),f688(x104264,x104263,x104262,x104261))) % 209.33/209.64 [6326]~P62(x63261)+~E(x63262,f2(x63261))+E(f335(f335(f41(x63261),f335(f335(f87(x63261),x63262),x63263)),f335(f335(f87(x63261),x63262),x63264)),f2(x63261)) % 209.33/209.64 [6367]E(x63671,f120(x63672))+E(x63673,f335(f335(f23(a927),f335(f196(f928(x63672)),x63671)),f84(a927)))+E(f151(x63672,f335(f335(f166(x63672,x63671),x63673),x63674)),f151(x63672,x63671)) % 209.33/209.64 [6401]E(x64011,x64012)+P106(f335(x64013,x64012))+~P106(f335(f335(f335(f317(x64014),x64011),x64013),x64012)) % 209.33/209.64 [6417]~P75(x64171)+~P106(f335(f144(x64172),x64174))+E(f335(f172(x64171),f335(f335(f161(x64172,x64171),x64173),x64174)),f335(f335(f6(x64172,x64171),x64173),f335(f179(x64172),x64174))) % 209.33/209.64 [6432]~P71(x64322)+~P106(f335(f66(x64321),x64324))+E(f335(f335(f9(x64321,x64322),f335(f16(x64322,x64321),x64323)),x64324),f335(f335(f252(x64322),x64323),f335(f40(x64321),x64324))) % 209.33/209.64 [6485]~P62(x64852)+E(x64851,f2(x64852))+E(f335(f335(f41(x64852),f335(f335(f87(x64852),x64853),x64851)),f335(f335(f87(x64852),x64854),x64851)),f335(f335(f41(x64852),x64853),x64854)) % 209.33/209.64 [6487]~P65(x64872)+E(x64871,f2(x64872))+E(f335(f335(f299(x64872),f335(f335(f87(x64872),x64873),x64871)),f335(f335(f87(x64872),x64874),x64871)),f335(f335(f299(x64872),x64873),x64874)) % 209.33/209.64 [6488]~P65(x64882)+E(x64881,f2(x64882))+E(f335(f335(f299(x64882),f335(f335(f87(x64882),x64881),x64883)),f335(f335(f87(x64882),x64881),x64884)),f335(f335(f299(x64882),x64883),x64884)) % 209.33/209.64 [6489]~P62(x64892)+E(x64891,f2(x64892))+E(f335(f335(f41(x64892),f335(f335(f87(x64892),x64891),x64893)),f335(f335(f87(x64892),x64891),x64894)),f335(f335(f41(x64892),x64893),x64894)) % 209.33/209.64 [6553]P106(f335(x65531,x65532))+~E(x65533,f335(f335(f86(a927),x65534),x65532))+~P106(f335(x65531,f335(f335(f23(a927),x65533),x65534))) % 209.33/209.64 [6637]~P106(f335(x66372,x66373))+~P106(f335(f167(x66371,x66372),x66374))+P106(f335(f167(x66371,x66372),f335(f335(f158(x66371),x66373),x66374))) % 209.33/209.64 [6678]E(x66781,f120(x66782))+~E(x66783,f335(f335(f23(a927),f335(f196(f928(x66782)),x66781)),f84(a927)))+E(f151(x66782,f335(f335(f166(x66782,x66781),x66783),x66784)),x66784) % 209.33/209.64 [6701]~P102(x67011)+~P106(f335(f335(f243(x67011),x67012),x67014))+P106(f335(f335(f243(x67011),x67012),f335(f335(f117(x67011),x67013),x67014))) % 209.33/209.64 [6702]~P102(x67021)+~P106(f335(f335(f243(x67021),x67022),x67023))+P106(f335(f335(f243(x67021),x67022),f335(f335(f117(x67021),x67023),x67024))) % 209.33/209.64 [6704]~P108(x67041)+~P106(f335(f335(f243(x67041),x67042),x67044))+P106(f335(f335(f243(x67041),x67042),f335(f335(f242(x67041),x67043),x67044))) % 209.33/209.64 [6706]~P108(x67061)+~P106(f335(f335(f243(x67061),x67062),x67063))+P106(f335(f335(f243(x67061),x67062),f335(f335(f242(x67061),x67063),x67064))) % 209.33/209.64 [6707]~P102(x67071)+~P106(f335(f335(f244(x67071),x67072),x67074))+P106(f335(f335(f244(x67071),x67072),f335(f335(f117(x67071),x67073),x67074))) % 209.33/209.64 [6708]~P102(x67081)+~P106(f335(f335(f244(x67081),x67082),x67083))+P106(f335(f335(f244(x67081),x67082),f335(f335(f117(x67081),x67083),x67084))) % 209.33/209.64 [6710]~P108(x67101)+~P106(f335(f335(f244(x67101),x67102),x67104))+P106(f335(f335(f244(x67101),x67102),f335(f335(f242(x67101),x67103),x67104))) % 209.33/209.64 [6712]~P108(x67121)+~P106(f335(f335(f244(x67121),x67122),x67123))+P106(f335(f335(f244(x67121),x67122),f335(f335(f242(x67121),x67123),x67124))) % 209.33/209.64 [6801]~E(f335(f335(f171(x68011),x68012),x68013),x68014)+E(f335(f335(f166(x68011,x68012),x68013),x68014),x68012)+~P106(f335(f335(f244(a927),x68013),f335(f196(f928(x68011)),x68012))) % 209.33/209.64 [6840]P106(f335(x68401,x68402))+~P106(f335(x68403,x68402))+~P106(f335(f335(f243(f934(x68404,a922)),x68403),x68401)) % 209.33/209.64 [6873]~E(f335(f335(f166(x68731,x68732),x68733),x68734),x68732)+E(f335(f335(f171(x68731),x68732),x68733),x68734)+~P106(f335(f335(f244(a927),x68733),f335(f196(f928(x68731)),x68732))) % 209.33/209.64 [6887]~P106(f335(f167(x68871,x68872),x68874))+~P106(f335(f167(x68871,x68872),x68873))+P106(f335(f167(x68871,x68872),f335(f335(f141(x68871),x68873),x68874))) % 209.33/209.64 [6991]E(x69911,f195(f934(x69912,a922)))+E(x69913,f195(f934(x69914,a922)))+~E(f335(f335(f262(x69914,x69912),x69913),f335(f16(f934(x69912,a922),x69914),x69911)),f195(f934(f933(x69914,x69912),a922))) % 209.33/209.64 [7011]E(x70111,x70112)+P106(f335(f335(f337(x70113),x70111),x70114))+~P106(f335(f335(f337(x70113),x70111),f335(f335(f317(x70113),x70112),x70114))) % 209.33/209.64 [7028]~P108(x70281)+P106(f335(f335(f243(x70281),x70282),x70283))+~P106(f335(f335(f243(x70281),x70282),f335(f335(f241(x70281),x70284),x70283))) % 209.33/209.64 [7030]~P108(x70301)+P106(f335(f335(f243(x70301),x70302),x70303))+~P106(f335(f335(f243(x70301),x70302),f335(f335(f241(x70301),x70303),x70304))) % 209.33/209.64 [7032]~P101(x70321)+P106(f335(f335(f243(x70321),x70322),x70323))+~P106(f335(f335(f243(x70321),x70322),f335(f335(f108(x70321),x70324),x70323))) % 209.33/209.64 [7034]~P101(x70341)+P106(f335(f335(f243(x70341),x70342),x70343))+~P106(f335(f335(f243(x70341),x70342),f335(f335(f108(x70341),x70343),x70344))) % 209.33/209.64 [7035]~P108(x70351)+P106(f335(f335(f244(x70351),x70352),x70353))+~P106(f335(f335(f244(x70351),x70352),f335(f335(f241(x70351),x70354),x70353))) % 209.33/209.64 [7036]~P108(x70361)+P106(f335(f335(f244(x70361),x70362),x70363))+~P106(f335(f335(f244(x70361),x70362),f335(f335(f241(x70361),x70363),x70364))) % 209.33/209.64 [7057]~E(f335(f335(f171(x70571),x70573),x70574),x70572)+P106(f335(f335(f337(x70571),x70572),f335(f179(x70571),x70573)))+~P106(f335(f335(f244(a927),x70574),f335(f196(f928(x70571)),x70573))) % 209.33/209.64 [7067]~P108(x70671)+~P13(x70671,f335(f335(f158(x70671),x70672),f335(f335(f158(x70671),x70673),x70674)))+P106(f335(f335(f243(x70671),x70672),x70673)) % 209.33/209.64 [7208]~P31(x72082,x72081,x72083)+P106(f335(x72081,f335(f335(f171(x72082),x72083),x72084)))+~P106(f335(f335(f244(a927),x72084),f335(f196(f928(x72082)),x72083))) % 209.33/209.64 [7226]E(x72261,f2(a1))+E(f335(f335(f41(a1),x72262),x72261),x72263)+~P106(f335(f54(x72262,x72261),f335(f335(f260(a1,a1),x72263),x72264))) % 209.33/209.64 [7247]E(f50(a1,x72472,x72471),x72473)+E(x72471,f2(a1))+~P106(f335(f54(x72472,x72471),f335(f335(f260(a1,a1),x72474),x72473))) % 209.33/209.64 [7366]P106(f335(f335(f337(x73661),x73662),x73663))+~P106(f335(f335(f337(x73661),x73662),x73664))+~P106(f335(f335(f244(f934(x73661,a922)),x73664),x73663)) % 209.33/209.64 [7367]P106(f335(f335(f337(x73671),x73672),x73673))+~P106(f335(f335(f337(x73671),x73672),x73674))+~P106(f335(f335(f243(f934(x73671,a922)),x73674),x73673)) % 209.33/209.64 [7478]P33(x74781,x74782,x74783)+~P106(f335(x74782,f335(f335(f171(x74781),x74783),x74784)))+~P106(f335(f335(f244(a927),x74784),f335(f196(f928(x74781)),x74783))) % 209.33/209.64 [7595]~P109(x75952)+~P106(f335(f335(f244(f934(x75951,x75952)),x75953),x75954))+P106(f335(f335(f243(f934(x75951,x75952)),x75953),x75954)) % 209.33/209.64 [7676]~P24(x76761,x76762,x76764)+P24(x76761,x76762,f335(f335(f317(f926(x76761)),x76763),x76764))+~P24(x76761,x76762,f335(f335(f317(f926(x76761)),x76763),f195(f934(f926(x76761),a922)))) % 209.33/209.64 [7718]~P106(f335(f335(f337(x77181),x77182),x77184))+P106(f335(f335(f337(x77181),x77182),f42(f934(x77181,a922),x77183)))+~P106(f335(f335(f337(f934(x77181,a922)),x77184),x77183)) % 209.33/209.64 [7746]~P83(x77461)+~P106(f335(f335(f243(x77461),x77463),x77464))+P106(f335(f335(f243(x77461),f335(f335(f86(x77461),x77462),x77463)),f335(f335(f86(x77461),x77462),x77464))) % 209.33/209.64 [7747]~P84(x77471)+~P106(f335(f335(f243(x77471),x77473),x77474))+P106(f335(f335(f243(x77471),f335(f335(f86(x77471),x77472),x77473)),f335(f335(f86(x77471),x77472),x77474))) % 209.33/209.64 [7748]~P83(x77481)+~P106(f335(f335(f243(x77481),x77482),x77484))+P106(f335(f335(f243(x77481),f335(f335(f86(x77481),x77482),x77483)),f335(f335(f86(x77481),x77484),x77483))) % 209.33/209.64 [7749]~P84(x77491)+~P106(f335(f335(f243(x77491),x77492),x77494))+P106(f335(f335(f243(x77491),f335(f335(f86(x77491),x77492),x77493)),f335(f335(f86(x77491),x77494),x77493))) % 209.33/209.64 [7750]~P83(x77501)+~P106(f335(f335(f244(x77501),x77503),x77504))+P106(f335(f335(f244(x77501),f335(f335(f86(x77501),x77502),x77503)),f335(f335(f86(x77501),x77502),x77504))) % 209.33/209.64 [7751]~P86(x77511)+~P106(f335(f335(f244(x77511),x77513),x77514))+P106(f335(f335(f244(x77511),f335(f335(f86(x77511),x77512),x77513)),f335(f335(f86(x77511),x77512),x77514))) % 209.33/209.64 [7752]~P83(x77521)+~P106(f335(f335(f244(x77521),x77522),x77524))+P106(f335(f335(f244(x77521),f335(f335(f86(x77521),x77522),x77523)),f335(f335(f86(x77521),x77524),x77523))) % 209.33/209.64 [7753]~P86(x77531)+~P106(f335(f335(f244(x77531),x77532),x77534))+P106(f335(f335(f244(x77531),f335(f335(f86(x77531),x77532),x77533)),f335(f335(f86(x77531),x77534),x77533))) % 209.33/209.64 [7760]~P121(x77601)+~P94(x77601)+E(f335(f335(f23(x77601),f335(f335(f87(x77601),x77602),f335(f110(x77601),x77603))),f335(f335(f87(x77601),x77604),f335(f110(x77601),x77603))),f335(f335(f87(x77601),f335(f335(f23(x77601),x77602),x77604)),f335(f110(x77601),x77603))) % 209.33/209.64 [7761]~P141(x77611)+~P94(x77611)+E(f335(f335(f86(x77611),f335(f335(f87(x77611),x77612),f335(f110(x77611),x77613))),f335(f335(f87(x77611),x77614),f335(f110(x77611),x77613))),f335(f335(f87(x77611),f335(f335(f86(x77611),x77612),x77614)),f335(f110(x77611),x77613))) % 209.33/209.64 [7797]~P75(x77971)+E(f335(f335(f86(x77971),f335(x77972,x77973)),f335(f335(f6(a927,x77971),x77972),f311(a927,f335(a119,x77973),x77974))),f335(f335(f6(a927,x77971),x77972),f311(a927,x77973,x77974)))+~P106(f335(f335(f243(a927),x77973),x77974)) % 209.33/209.64 [7809]~P25(x78092,x78091,x78093,f335(f179(x78092),x78094))+~P106(f335(f144(x78092),x78094))+P106(f335(f144(x78091),f335(f335(f161(x78092,x78091),x78093),x78094))) % 209.33/209.64 [7856]~P106(f335(f335(f243(a927),x78562),x78564))+~P106(f335(f335(f243(a927),x78561),x78563))+P106(f335(f335(f243(a927),f335(f335(f87(a927),x78561),x78562)),f335(f335(f87(a927),x78563),x78564))) % 209.33/209.64 [7857]~P106(f335(f335(f243(a927),x78572),x78574))+~P106(f335(f335(f243(a927),x78571),x78573))+P106(f335(f335(f243(a927),f335(f335(f86(a927),x78571),x78572)),f335(f335(f86(a927),x78573),x78574))) % 209.33/209.64 [7860]~P106(f335(f335(f244(a927),x78602),x78604))+~P106(f335(f335(f244(a927),x78601),x78603))+P106(f335(f335(f244(a927),f335(f335(f86(a927),x78601),x78602)),f335(f335(f86(a927),x78603),x78604))) % 209.33/209.64 [7861]~P106(f335(f335(f243(a1),x78612),x78614))+~P106(f335(f335(f244(a1),x78611),x78613))+P106(f335(f335(f244(a1),f335(f335(f86(a1),x78611),x78612)),f335(f335(f86(a1),x78613),x78614))) % 209.33/209.64 [7908]P106(f335(f335(f337(x79081),x79082),x79083))+~P106(f335(f335(f337(x79081),x79082),f43(f934(x79081,a922),x79084)))+~P106(f335(f335(f337(f934(x79081,a922)),x79083),x79084)) % 209.33/209.64 [7924]~P106(f335(x79241,f683(x79241,x79243,x79242)))+P106(f335(x79241,f335(f335(f171(x79242),x79243),x79244)))+~P106(f335(f335(f244(a927),x79244),f335(f196(f928(x79242)),x79243))) % 209.33/209.64 [7929]P106(f335(x79291,x79292))+~P106(f335(f335(f337(x79294),x79292),f335(f179(x79294),x79293)))+P106(f335(f335(f244(a927),f685(x79291,x79293,x79294)),f335(f196(f928(x79294)),x79293))) % 209.33/209.64 [7976]~P109(x79761)+~P106(f335(f335(f244(f934(x79762,x79761)),x79764),x79763))+~P106(f335(f335(f243(f934(x79762,x79761)),x79763),x79764)) % 209.33/209.64 [8019]~P106(f335(x80194,x80192))+~P106(f335(f335(f337(x80191),x80192),x80193))+P106(f335(f335(f337(x80191),x80192),f335(f335(f108(f934(x80191,a922)),x80193),f335(f270(x80191),x80194)))) % 209.33/209.64 [8161]~P106(f335(f335(f337(x81611),x81613),x81614))+~P106(f335(f335(f244(f934(x81611,a922)),x81612),x81614))+P106(f335(f335(f244(f934(x81611,a922)),x81612),f335(f335(f317(x81611),x81613),x81614))) % 209.33/209.64 [8163]E(f335(f335(f108(f934(x81631,a922)),x81632),x81633),f195(f934(x81631,a922)))+~E(f335(f335(f108(f934(x81631,a922)),f42(f934(x81631,a922),x81634)),x81633),f195(f934(x81631,a922)))+~P106(f335(f335(f337(f934(x81631,a922)),x81632),x81634)) % 209.33/209.64 [8237]P106(f335(f335(f337(x82371),x82372),x82373))+~P106(f335(f335(f243(f934(x82371,a922)),x82373),f335(f335(f317(x82371),x82372),x82374)))+P106(f335(f335(f243(f934(x82371,a922)),x82373),x82374)) % 209.33/209.64 [8254]P106(f335(f335(f337(x82542),f683(x82541,x82543,x82542)),f335(f179(x82542),x82543)))+P106(f335(x82541,f335(f335(f171(x82542),x82543),x82544)))+~P106(f335(f335(f244(a927),x82544),f335(f196(f928(x82542)),x82543))) % 209.33/209.64 [8262]~P106(f335(f335(f243(f934(x82621,a922)),x82622),x82624))+P106(f335(f335(f243(f934(x82621,a922)),x82622),x82623))+~P106(f335(f335(f243(f934(x82621,a922)),x82624),x82623)) % 209.33/209.64 [8263]~P106(f335(f335(f244(f934(x82631,a922)),x82632),x82634))+~P106(f335(f335(f243(f934(x82631,a922)),x82634),x82633))+P106(f335(f335(f244(f934(x82631,a922)),x82632),x82633)) % 209.33/209.64 [8264]~P106(f335(f335(f243(f934(x82641,a922)),x82642),x82644))+~P106(f335(f335(f244(f934(x82641,a922)),x82644),x82643))+P106(f335(f335(f244(f934(x82641,a922)),x82642),x82643)) % 209.33/209.64 [8265]~P106(f335(f335(f244(f934(x82651,a922)),x82652),x82654))+P106(f335(f335(f244(f934(x82651,a922)),x82652),x82653))+~P106(f335(f335(f244(f934(x82651,a922)),x82654),x82653)) % 209.33/209.64 [8309]~P106(f335(f335(f337(x83091),x83094),x83093))+~P106(f335(f335(f244(f934(x83091,a922)),x83092),f335(f335(f317(x83091),x83094),x83093)))+P106(f335(f335(f244(f934(x83091,a922)),x83092),x83093)) % 209.33/209.64 [8320]~P83(x83201)+P106(f335(f335(f243(x83201),x83202),x83203))+~P106(f335(f335(f243(x83201),f335(f335(f86(x83201),x83204),x83202)),f335(f335(f86(x83201),x83204),x83203))) % 209.33/209.64 [8322]~P83(x83221)+P106(f335(f335(f243(x83221),x83222),x83223))+~P106(f335(f335(f243(x83221),f335(f335(f86(x83221),x83222),x83224)),f335(f335(f86(x83221),x83223),x83224))) % 209.33/209.64 [8324]~P83(x83241)+P106(f335(f335(f244(x83241),x83242),x83243))+~P106(f335(f335(f244(x83241),f335(f335(f86(x83241),x83244),x83242)),f335(f335(f86(x83241),x83244),x83243))) % 209.33/209.64 [8326]~P83(x83261)+P106(f335(f335(f244(x83261),x83262),x83263))+~P106(f335(f335(f244(x83261),f335(f335(f86(x83261),x83262),x83264)),f335(f335(f86(x83261),x83263),x83264))) % 209.33/209.64 [8372]P106(f335(x83721,x83722))+~E(f335(f335(f145(x83723),f335(f196(f928(x83723)),f184(x83723,x83721,x83724))),x83724),f120(x83723))+~P106(f335(f335(f337(x83723),x83722),f335(f179(x83723),x83724))) % 209.33/209.64 [8491]P106(f335(x84911,x84912))+~P106(f335(f335(f337(x84913),x84912),f335(f179(x84913),x84914)))+P106(f335(f335(f244(a927),f335(f196(f928(x84913)),f335(f143(x84913,x84911),x84914))),f335(f196(f928(x84913)),x84914))) % 209.33/209.64 [8980]~P106(f335(x89801,f775(x89801,x89803,x89802,x89804)))+P106(f335(x89801,f335(f335(f171(x89802),x89803),x89804)))+~P106(f335(f335(f244(a927),x89804),f335(f196(f928(x89802)),x89803))) % 209.33/209.64 [9004]~P25(x90044,x90043,x90041,f250(f934(x90044,a922)))+E(f335(x90041,f462(x90042,x90041,x90043,x90044)),x90042)+~P106(f335(f335(f337(x90043),x90042),f335(f318(x90044,x90043,x90041),f250(f934(x90044,a922))))) % 209.33/209.64 [9072]E(f184(x90721,x90722,x90723),f335(f335(f182(x90721),x90724),x90723))+P106(f335(f335(f244(a927),f746(x90722,x90723,x90721,x90724)),x90724))+P106(f335(f335(f244(a927),x90724),f335(f196(f928(x90721)),x90723))) % 209.33/209.64 [9075]E(f184(x90751,x90752,x90753),f335(f335(f182(x90751),x90754),x90753))+P106(f335(f335(f244(a927),f746(x90752,x90753,x90751,x90754)),x90754))+P106(f335(x90752,f335(f335(f171(x90751),x90753),x90754))) % 209.33/209.64 [9110]P106(f335(x91101,x91102))+~P106(f335(f335(f337(x91104),x91102),f335(f179(x91104),x91103)))+P106(f335(f335(f244(a927),f721(x91102,x91101,x91103,x91104)),f335(f196(f928(x91104)),x91103))) % 209.33/209.64 [9112]E(f184(x91121,x91122,x91123),f335(f335(f182(x91121),x91124),x91123))+P106(f335(f335(f244(a927),x91124),f335(f196(f928(x91121)),x91123)))+P106(f335(f335(f244(a927),f746(x91122,x91123,x91121,x91124)),f335(f196(f928(x91121)),x91123))) % 209.33/209.64 [9119]E(f184(x91191,x91192,x91193),f335(f335(f182(x91191),x91194),x91193))+P106(f335(x91192,f335(f335(f171(x91191),x91193),x91194)))+P106(f335(f335(f244(a927),f746(x91192,x91193,x91191,x91194)),f335(f196(f928(x91191)),x91193))) % 209.33/209.64 [9146]~P125(x91464)+P106(f335(f335(f337(x91461),f666(x91462,x91463,x91461,x91464)),x91463))+P106(f335(f335(f244(x91464),f2(x91464)),f335(f335(f9(x91461,x91464),x91462),x91463))) % 209.33/209.64 [9147]~P125(x91474)+P106(f335(f335(f337(x91471),f670(x91472,x91473,x91471,x91474)),x91473))+P106(f335(f335(f243(x91474),f2(x91474)),f335(f335(f9(x91471,x91474),x91472),x91473))) % 209.33/209.64 [9174]~P106(f335(f66(x91741),x91744))+P106(f335(f335(f337(x91741),f428(x91742,x91743,x91744,x91741)),x91744))+P106(f335(f66(f933(x91741,x91743)),f335(f335(f262(x91741,x91743),x91744),x91742))) % 209.33/209.64 [9206]P106(f335(f335(f337(x92062),f775(x92061,x92063,x92062,x92064)),f335(f179(x92062),x92063)))+P106(f335(x92061,f335(f335(f171(x92062),x92063),x92064)))+~P106(f335(f335(f244(a927),x92064),f335(f196(f928(x92062)),x92063))) % 209.33/209.64 [9336]P106(f335(f335(f243(a927),x93364),f335(f196(f928(x93362)),f184(x93362,x93363,x93361))))+P106(f335(f335(f244(a927),f747(x93361,x93362,x93363,x93364)),x93364))+~P106(f335(f335(f243(a927),x93364),f335(f196(f928(x93362)),x93361))) % 209.33/209.64 [9484]E(f184(x94841,x94842,x94843),f335(f335(f182(x94841),x94844),x94843))+~P106(f335(x94842,f335(f335(f171(x94841),x94843),f746(x94842,x94843,x94841,x94844))))+P106(f335(f335(f244(a927),x94844),f335(f196(f928(x94841)),x94843))) % 209.33/209.64 [9491]E(f184(x94911,x94912,x94913),f335(f335(f182(x94911),x94914),x94913))+~P106(f335(x94912,f335(f335(f171(x94911),x94913),f746(x94912,x94913,x94911,x94914))))+P106(f335(x94912,f335(f335(f171(x94911),x94913),x94914))) % 209.33/209.64 [9495]~P106(f335(f66(x94951),x94953))+~P106(f335(f66(x94952),f335(x94954,f428(x94954,x94952,x94953,x94951))))+P106(f335(f66(f933(x94951,x94952)),f335(f335(f262(x94951,x94952),x94953),x94954))) % 209.33/209.64 [9503]~P125(x95031)+~P106(f335(f335(f243(x95031),f2(x95031)),f335(x95033,f670(x95033,x95034,x95032,x95031))))+P106(f335(f335(f243(x95031),f2(x95031)),f335(f335(f9(x95032,x95031),x95033),x95034))) % 209.33/209.64 [9504]~P125(x95041)+~P106(f335(f335(f244(x95041),f2(x95041)),f335(x95043,f666(x95043,x95044,x95042,x95041))))+P106(f335(f335(f244(x95041),f2(x95041)),f335(f335(f9(x95042,x95041),x95043),x95044))) % 209.33/209.64 [9512]~E(f335(f196(f928(x95124)),x95122),f335(f196(f928(x95124)),x95123))+P106(f335(f335(f337(f933(f928(x95124),f928(x95124))),f335(f335(f260(f928(x95124),f928(x95124)),x95123),x95122)),f165(x95124,x95121)))+P106(f335(f335(f244(a927),f671(x95121,x95122,x95123,x95124)),f335(f196(f928(x95124)),x95123))) % 209.33/209.64 [9564]~P106(f335(x95643,f335(f335(f171(x95642),x95644),f747(x95644,x95642,x95643,x95641))))+P106(f335(f335(f243(a927),x95641),f335(f196(f928(x95642)),f184(x95642,x95643,x95644))))+~P106(f335(f335(f243(a927),x95641),f335(f196(f928(x95642)),x95644))) % 209.33/209.64 [9643]E(f335(f335(f182(x96431),f684(x96432,x96433,x96434,x96431)),x96433),f335(f335(f182(x96431),f684(x96432,x96433,x96434,x96431)),x96434))+~P106(f335(f335(f337(f933(f928(x96431),f928(x96431))),f335(f335(f260(f928(x96431),f928(x96431)),x96434),x96433)),f154(x96431,x96432)))+P106(f335(f335(f244(a927),f335(f196(f928(x96431)),x96434)),f335(f196(f928(x96431)),x96433))) % 209.33/209.64 [9699]~P106(f335(f335(f244(a927),f2(a927)),x96993))+~P106(f335(f335(f244(a927),x96994),x96991))+P106(f335(f335(f244(a927),f335(f335(f86(a927),f335(f335(f87(a927),x96991),f50(a927,x96992,x96993))),x96994)),f335(f335(f87(a927),x96991),x96993))) % 209.33/209.64 [9891]~P109(x98912)+~P106(f335(f335(f243(x98912),f335(x98913,f429(x98914,x98913,x98911,x98912))),f335(x98914,f429(x98914,x98913,x98911,x98912))))+P106(f335(f335(f243(f934(x98911,x98912)),x98913),x98914)) % 209.33/209.64 [9994]~P4(x99941)+E(f335(f335(f6(a927,x99941),f335(f335(f18(a927,x99941,x99941),f335(f335(f8(x99941,f934(x99941,x99941),a927),f23(x99941)),x99942)),f335(f335(f8(a927,x99941,a927),x99942),f335(f335(f7(a927,a927,a927),f86(a927)),f84(a927))))),f311(a927,x99943,x99944)),f335(f335(f23(x99941),f335(x99942,x99943)),f335(x99942,f335(f335(f86(a927),x99944),f84(a927)))))+~P106(f335(f335(f243(a927),x99943),x99944)) % 209.33/209.64 [10070]~P37(x100703,f335(f335(f297(x100703,x100703,x100703),x100702),f315(x100703,x100702)))+~P106(f335(f335(f337(f933(x100703,x100703)),f335(f335(f260(x100703,x100703),f335(x100701,f335(a119,f853(x100702,x100701,x100703)))),f335(x100701,f853(x100702,x100701,x100703)))),f315(x100703,x100702)))+E(f335(x100701,f335(f335(f86(a927),f855(x100702,x100701,x100703)),x100704)),f335(x100701,f855(x100702,x100701,x100703))) % 209.33/209.64 [7061]E(f335(f335(f141(x70611),x70612),x70613),x70614)+~E(x70613,f335(f335(f145(x70611),f335(f196(f928(x70611)),x70612)),x70614))+~E(f335(f335(f182(x70611),f335(f196(f928(x70611)),x70612)),x70614),x70612) % 209.33/209.64 [7114]~P66(x71142)+E(x71141,f2(x71142))+E(f335(f335(f299(x71142),f335(f335(f252(x71142),x71143),x71144)),f335(f335(f252(x71142),x71141),x71144)),f335(f335(f252(x71142),f335(f335(f299(x71142),x71143),x71141)),x71144)) % 209.33/209.64 [7263]~P101(x72631)+~P106(f335(f335(f243(x72631),x72633),x72634))+P106(f335(f335(f243(x72631),f335(f335(f108(x72631),x72632),x72633)),x72634)) % 209.33/209.64 [7264]~P101(x72641)+~P106(f335(f335(f243(x72641),x72642),x72644))+P106(f335(f335(f243(x72641),f335(f335(f108(x72641),x72642),x72643)),x72644)) % 209.33/209.64 [7266]~P108(x72661)+~P106(f335(f335(f243(x72661),x72663),x72664))+P106(f335(f335(f243(x72661),f335(f335(f241(x72661),x72662),x72663)),x72664)) % 209.33/209.64 [7268]~P108(x72681)+~P106(f335(f335(f243(x72681),x72682),x72684))+P106(f335(f335(f243(x72681),f335(f335(f241(x72681),x72682),x72683)),x72684)) % 209.33/209.64 [7269]~P101(x72691)+~P106(f335(f335(f244(x72691),x72693),x72694))+P106(f335(f335(f244(x72691),f335(f335(f108(x72691),x72692),x72693)),x72694)) % 209.33/209.64 [7270]~P101(x72701)+~P106(f335(f335(f244(x72701),x72702),x72704))+P106(f335(f335(f244(x72701),f335(f335(f108(x72701),x72702),x72703)),x72704)) % 209.33/209.64 [7272]~P108(x72721)+~P106(f335(f335(f244(x72721),x72723),x72724))+P106(f335(f335(f244(x72721),f335(f335(f241(x72721),x72722),x72723)),x72724)) % 209.33/209.64 [7274]~P108(x72741)+~P106(f335(f335(f244(x72741),x72742),x72744))+P106(f335(f335(f244(x72741),f335(f335(f241(x72741),x72742),x72743)),x72744)) % 209.33/209.64 [7297]~P106(f335(x72973,x72974))+~P106(f335(x72972,x72974))+P106(f335(f335(f335(f108(f934(x72971,a922)),x72972),x72973),x72974)) % 209.33/209.64 [7421]P24(x74211,x74212,x74213)+~P24(x74211,x74212,x74214)+~P106(f335(f335(f243(f934(f926(x74211),a922)),x74213),x74214)) % 209.33/209.64 [7560]~P62(x75601)+E(f335(f335(f41(x75601),f335(f335(f252(x75601),x75602),x75603)),f335(f335(f252(x75601),x75604),x75603)),f335(f335(f252(x75601),f335(f335(f41(x75601),x75602),x75604)),x75603))+~P106(f335(f335(f295(x75601),x75604),x75602)) % 209.33/209.64 [7787]~P75(x77871)+E(f335(f335(f86(x77871),f335(x77872,x77873)),f335(f335(f6(a927,x77871),x77872),f335(f310(a927,f335(a119,x77873)),x77874))),f335(f335(f6(a927,x77871),x77872),f335(f310(a927,x77873),x77874)))+~P106(f335(f335(f244(a927),x77873),x77874)) % 209.33/209.64 [7805]E(x78051,x78052)+P106(f335(f335(f179(x78053),x78054),x78052))+~P106(f335(f335(f179(x78053),f335(f335(f158(x78053),x78051),x78054)),x78052)) % 209.33/209.64 [7817]~P108(x78171)+P106(f335(f335(f243(x78171),x78172),x78173))+~P106(f335(f335(f243(x78171),f335(f335(f242(x78171),x78174),x78172)),x78173)) % 209.33/209.64 [7819]~P108(x78191)+P106(f335(f335(f243(x78191),x78192),x78193))+~P106(f335(f335(f243(x78191),f335(f335(f242(x78191),x78192),x78194)),x78193)) % 209.33/209.64 [7821]~P102(x78211)+P106(f335(f335(f243(x78211),x78212),x78213))+~P106(f335(f335(f243(x78211),f335(f335(f117(x78211),x78214),x78212)),x78213)) % 209.33/209.64 [7823]~P102(x78231)+P106(f335(f335(f243(x78231),x78232),x78233))+~P106(f335(f335(f243(x78231),f335(f335(f117(x78231),x78232),x78234)),x78233)) % 209.33/209.64 [7824]~P108(x78241)+P106(f335(f335(f244(x78241),x78242),x78243))+~P106(f335(f335(f244(x78241),f335(f335(f242(x78241),x78244),x78242)),x78243)) % 209.33/209.64 [7825]~P108(x78251)+P106(f335(f335(f244(x78251),x78252),x78253))+~P106(f335(f335(f244(x78251),f335(f335(f242(x78251),x78252),x78254)),x78253)) % 209.33/209.64 [7900]~P106(f335(f335(f337(x79001),x79002),x79004))+P106(f335(f335(f337(x79001),x79002),x79003))+P106(f335(f335(f337(x79001),x79002),f335(f335(f23(f934(x79001,a922)),x79004),x79003))) % 209.33/209.64 [7983]P106(f335(x79831,x79832))+P106(f335(x79833,x79832))+~P106(f335(f335(f335(f117(f934(x79834,a922)),x79833),x79831),x79832)) % 209.33/209.64 [7994]~P106(f335(f335(f337(x79941),x79942),x79944))+~P106(f335(f335(f337(x79941),x79942),x79943))+P106(f335(f335(f337(x79941),x79942),f335(f335(f108(f934(x79941,a922)),x79943),x79944))) % 209.33/209.64 [8041]~P101(x80411)+~P106(f335(f66(x80411),x80414))+E(f335(f335(f69(x80411,x80411,f108(x80411)),x80412),f335(f335(f317(x80411),x80413),x80414)),f335(f335(f108(x80411),x80413),f335(f335(f69(x80411,x80411,f108(x80411)),x80412),x80414))) % 209.33/209.64 [8042]~P102(x80421)+~P106(f335(f66(x80421),x80424))+E(f335(f335(f69(x80421,x80421,f117(x80421)),x80422),f335(f335(f317(x80421),x80423),x80424)),f335(f335(f117(x80421),x80423),f335(f335(f69(x80421,x80421,f117(x80421)),x80422),x80424))) % 209.33/209.64 [8043]~P108(x80431)+~P106(f335(f66(x80431),x80434))+E(f335(f335(f69(x80431,x80431,f241(x80431)),x80432),f335(f335(f317(x80431),x80433),x80434)),f335(f335(f241(x80431),x80433),f335(f335(f69(x80431,x80431,f241(x80431)),x80432),x80434))) % 209.33/209.64 [8044]~P108(x80441)+~P106(f335(f66(x80441),x80444))+E(f335(f335(f69(x80441,x80441,f242(x80441)),x80442),f335(f335(f317(x80441),x80443),x80444)),f335(f335(f242(x80441),x80443),f335(f335(f69(x80441,x80441,f242(x80441)),x80442),x80444))) % 209.33/209.64 [8045]~P121(x80451)+~P94(x80451)+E(f335(f335(f23(x80451),f335(f335(f87(x80451),f335(f110(x80451),x80452)),x80453)),f335(f335(f87(x80451),f335(f110(x80451),x80452)),x80454)),f335(f335(f87(x80451),f335(f110(x80451),x80452)),f335(f335(f23(x80451),x80453),x80454))) % 209.33/209.64 [8046]~P141(x80461)+~P94(x80461)+E(f335(f335(f86(x80461),f335(f335(f87(x80461),f335(f110(x80461),x80462)),x80463)),f335(f335(f87(x80461),f335(f110(x80461),x80462)),x80464)),f335(f335(f87(x80461),f335(f110(x80461),x80462)),f335(f335(f86(x80461),x80463),x80464))) % 209.33/209.64 [8159]E(x81591,x81592)+P106(f335(f335(f337(x81593),x81591),f335(f179(x81593),x81594)))+~P106(f335(f335(f337(x81593),x81591),f335(f179(x81593),f335(f335(f158(x81593),x81592),x81594)))) % 209.33/209.64 [8331]P55(x83311,x83312,x83313)+~P55(x83311,x83312,x83314)+~P106(f335(f335(f243(f934(f933(x83311,x83312),a922)),x83313),x83314)) % 209.33/209.64 [8374]P106(f335(f335(f337(x83741),x83742),x83743))+P106(f335(f335(f337(x83741),x83742),x83744))+~P106(f335(f335(f337(x83741),x83742),f335(f335(f117(f934(x83741,a922)),x83744),x83743))) % 209.33/209.64 [8384]~P53(x83841,x83844,x83843)+~P106(f335(f335(f337(x83841),x83842),x83844))+P106(f335(f335(f337(f933(x83841,x83841)),f335(f335(f260(x83841,x83841),x83842),x83842)),x83843)) % 209.33/209.64 [8396]~P106(f335(f66(x83962),x83964))+~P106(f335(f66(x83961),x83963))+P106(f335(f66(f933(x83961,x83962)),f335(f335(f262(x83961,x83962),x83963),f335(f16(f934(x83962,a922),x83961),x83964)))) % 209.33/209.64 [8397]~P106(f335(f335(f337(x83971),x83972),x83974))+~P106(f335(f335(f243(f934(x83971,a922)),x83973),x83974))+P106(f335(f335(f243(f934(x83971,a922)),f335(f335(f317(x83971),x83972),x83973)),x83974)) % 209.33/209.64 [8404]~P71(x84042)+~P146(x84042)+E(f335(f335(f9(x84041,x84042),f335(f335(f8(a927,x84042,x84041),f107(x84042)),x84043)),x84044),f335(f107(x84042),f335(f335(f9(x84041,a927),x84043),x84044))) % 209.33/209.64 [8405]~P71(x84052)+~P140(x84052)+E(f335(f335(f9(x84051,x84052),f335(f335(f8(a1,x84052,x84051),f109(x84052)),x84053)),x84054),f335(f109(x84052),f335(f335(f9(x84051,a1),x84053),x84054))) % 209.33/209.64 [8429]E(f335(f335(f23(f934(x84291,a922)),x84292),f335(f335(f23(f934(x84291,a922)),x84293),x84294)),x84294)+~P106(f335(f335(f243(f934(x84291,a922)),x84292),x84293))+~P106(f335(f335(f243(f934(x84291,a922)),x84294),x84292)) % 209.33/209.64 [8527]~P106(f335(f66(x85271),x85274))+E(f335(f335(f23(a927),f335(f335(f6(x85271,a927),x85272),x85273)),f335(f335(f6(x85271,a927),x85272),x85274)),f335(f335(f6(x85271,a927),x85272),f335(f335(f23(f934(x85271,a922)),x85273),x85274)))+~P106(f335(f335(f243(f934(x85271,a922)),x85274),x85273)) % 209.33/209.64 [8678]~P8(x86781,x86784,x86783)+~P106(f335(f335(f337(x86781),x86782),x86784))+P106(f335(f335(f337(x86781),x86782),f335(f293(x86781,x86781,x86783),f335(f335(f317(x86781),x86782),f195(f934(x86781,a922)))))) % 209.33/209.64 [8739]~P106(f335(f335(f243(f934(x87391,a922)),x87392),x87393))+~P106(f335(f335(f243(f934(x87391,a922)),x87392),x87394))+P106(f335(f335(f243(f934(x87391,a922)),x87392),f335(f335(f108(f934(x87391,a922)),x87393),x87394))) % 209.33/209.64 [8841]E(x88411,f195(f934(x88412,a922)))+P106(f335(f66(x88413),x88414))+~P106(f335(f66(f933(x88413,x88412)),f335(f335(f262(x88413,x88412),x88414),f335(f16(f934(x88412,a922),x88413),x88411)))) % 209.33/209.64 [8842]E(x88421,f195(f934(x88422,a922)))+P106(f335(f66(x88423),x88424))+~P106(f335(f66(f933(x88422,x88423)),f335(f335(f262(x88422,x88423),x88421),f335(f16(f934(x88423,a922),x88422),x88424)))) % 209.33/209.64 [8915]P106(f335(f335(f337(x89151),x89152),f324(x89151,x89153)))+~P106(f335(f335(f337(x89151),x89154),f324(x89151,x89153)))+~P106(f335(f335(f337(f933(x89151,x89151)),f335(f335(f260(x89151,x89151),x89152),x89154)),x89153)) % 209.33/209.64 [8972]~P37(x89721,x89724)+P106(f335(f335(f337(f933(x89721,x89721)),f335(f335(f260(x89721,x89721),x89723),x89722)),f315(x89721,x89724)))+P37(x89721,f335(f335(f317(f933(x89721,x89721)),f335(f335(f260(x89721,x89721),x89722),x89723)),x89724)) % 209.33/209.64 [8973]~P58(x89731,x89734)+P106(f335(f335(f337(f933(x89731,x89731)),f335(f335(f260(x89731,x89731),x89733),x89732)),f315(x89731,x89734)))+P58(x89731,f335(f335(f317(f933(x89731,x89731)),f335(f335(f260(x89731,x89731),x89732),x89733)),x89734)) % 209.33/209.64 [9055]~E(x90552,x90553)+~P106(f335(f335(f337(x90551),x90552),f335(f179(x90551),x90554)))+P106(f335(f335(f337(f933(x90551,x90551)),f335(f335(f260(x90551,x90551),x90552),x90553)),f335(f179(f933(x90551,x90551)),f335(f335(f188(x90551,x90551),x90554),x90554)))) % 209.33/209.64 [9145]~E(x91453,x91454)+P106(f335(f335(f265(x91451,x91451,a922),a332),x91452))+~P106(f335(f335(f337(f933(x91451,x91451)),x91452),f335(f179(f933(x91451,x91451)),f335(f335(f188(x91451,x91451),x91453),x91454)))) % 209.33/209.64 [9191]P106(f335(f335(f337(f933(f928(x91911),f928(x91911))),f335(f335(f260(f928(x91911),f928(x91911)),x91912),x91913)),f154(x91911,x91914)))+~E(f335(f335(f182(x91911),f335(f196(f928(x91911)),x91912)),x91913),x91912)+~P106(f335(f335(f244(a927),f335(f196(f928(x91911)),x91912)),f335(f196(f928(x91911)),x91913))) % 209.33/209.64 [9194]~P52(x91941,x91944)+~P106(f335(f335(f337(f933(x91941,x91941)),f335(f335(f260(x91941,x91941),x91943),x91942)),x91944))+P106(f335(f335(f337(f933(x91941,x91941)),f335(f335(f260(x91941,x91941),x91942),x91943)),x91944)) % 209.33/209.64 [9285]~P106(f335(f66(x92851),x92854))+P106(f335(f335(f337(x92851),f345(x92852,x92853,x92854,x92851)),x92854))+P106(f335(f66(x92853),f335(f335(f44(x92851,f934(x92853,a922)),x92854),x92852))) % 209.33/209.64 [9286]~P106(f335(f66(x92861),x92864))+P106(f335(f335(f337(x92861),f592(x92862,x92863,x92864,x92861)),x92864))+P106(f335(f66(x92863),f335(f335(f44(x92861,f934(x92863,a922)),x92864),x92862))) % 209.33/209.64 [9372]P106(f335(f335(f337(f933(x93721,x93721)),x93722),f335(f335(f297(x93721,x93721,x93721),x93723),f315(x93721,x93723))))+~P106(f335(f335(f244(a927),f2(a927)),x93724))+~P106(f335(f335(f337(f933(x93721,x93721)),x93722),f335(f335(f190(f933(x93721,x93721),a922),x93724),x93723))) % 209.33/209.64 [9380]~P37(x93801,x93802)+~P106(f335(f335(f337(f933(x93801,x93801)),f335(f335(f260(x93801,x93801),x93804),x93803)),x93802))+~P106(f335(f335(f337(f933(x93801,x93801)),f335(f335(f260(x93801,x93801),x93803),x93804)),x93802)) % 209.33/209.64 [9502]~P106(f335(f66(x95021),x95024))+E(f335(f335(f6(x95021,a927),f335(f335(f8(f934(x95022,a922),a927,x95021),f40(x95022)),x95023)),x95024),f335(f40(f933(x95021,x95022)),f335(f335(f262(x95021,x95022),x95024),x95023)))+P106(f335(f335(f337(x95021),f410(x95023,x95022,x95024,x95021)),x95024)) % 209.33/209.64 [9506]~P106(f335(f144(x95061),x95062))+P106(f335(f144(x95061),f335(f335(f166(x95061,x95062),x95063),x95064)))+P106(f335(f335(f337(x95061),x95064),f335(f335(f23(f934(x95061,a922)),f335(f179(x95061),x95062)),f335(f335(f317(x95061),f335(f335(f171(x95061),x95062),x95063)),f195(f934(x95061,a922)))))) % 209.33/209.64 [9523]~P106(f335(f66(x95232),x95233))+~P106(f335(f66(x95231),f335(x95234,f345(x95234,x95231,x95233,x95232))))+P106(f335(f66(x95231),f335(f335(f44(x95232,f934(x95231,a922)),x95233),x95234))) % 209.33/209.64 [9524]~P106(f335(f66(x95242),x95243))+~P106(f335(f66(x95241),f335(x95244,f592(x95244,x95241,x95243,x95242))))+P106(f335(f66(x95241),f335(f335(f44(x95242,f934(x95241,a922)),x95243),x95244))) % 209.33/209.64 [9602]~P106(f335(f335(f337(f933(x96021,x96021)),x96022),f335(f335(f297(x96021,x96021,x96021),x96024),f315(x96021,x96024))))+P106(f335(f335(f337(f933(x96021,x96021)),x96022),f335(f335(f297(x96021,x96021,x96021),x96023),f315(x96021,x96023))))+~P106(f335(f335(f243(f934(f933(x96021,x96021),a922)),x96024),x96023)) % 209.33/209.64 [9610]E(f335(f335(f182(x96101),f684(x96104,x96103,x96102,x96101)),x96103),f335(f335(f182(x96101),f684(x96104,x96103,x96102,x96101)),x96102))+~P106(f335(f335(f337(f933(f928(x96101),f928(x96101))),f335(f335(f260(f928(x96101),f928(x96101)),x96102),x96103)),f154(x96101,x96104)))+E(f335(f335(f182(x96101),f335(f196(f928(x96101)),x96102)),x96103),x96102) % 209.33/209.64 [9626]~P106(f335(f66(x96261),x96264))+E(f335(f335(f6(x96261,a927),f335(f335(f8(f934(x96262,a922),a927,x96261),f40(x96262)),x96263)),x96264),f335(f40(f933(x96261,x96262)),f335(f335(f262(x96261,x96262),x96264),x96263)))+~P106(f335(f66(x96262),f335(x96263,f410(x96263,x96262,x96264,x96261)))) % 209.33/209.64 [9630]~E(f335(f196(f928(x96301)),x96303),f335(f196(f928(x96301)),x96302))+P106(f335(f335(f337(f933(f928(x96301),f928(x96301))),f335(f335(f260(f928(x96301),f928(x96301)),x96302),x96303)),f165(x96301,x96304)))+P106(f335(f335(f337(f933(x96301,x96301)),f688(x96304,x96303,x96302,x96301)),f335(f179(f933(x96301,x96301)),f335(f335(f188(x96301,x96301),x96302),x96303)))) % 209.33/209.64 [9710]~P106(f335(f335(f337(f933(f928(x97101),f928(x97101))),f335(f335(f260(f928(x97101),f928(x97101)),x97102),x97103)),f154(x97101,x97104)))+E(f335(f335(f182(x97101),f335(f196(f928(x97101)),x97102)),x97103),x97102)+P106(f335(f335(f244(a927),f684(x97104,x97103,x97102,x97101)),f335(f335(f241(a927),f335(f196(f928(x97101)),x97102)),f335(f196(f928(x97101)),x97103)))) % 209.33/209.64 [9734]~P106(f335(f335(f337(f933(f928(x97341),f928(x97341))),f335(f335(f260(f928(x97341),f928(x97341)),x97342),x97343)),f154(x97341,x97344)))+P106(f335(f335(f244(a927),f335(f196(f928(x97341)),x97342)),f335(f196(f928(x97341)),x97343)))+P106(f335(f335(f244(a927),f684(x97344,x97343,x97342,x97341)),f335(f335(f241(a927),f335(f196(f928(x97341)),x97342)),f335(f196(f928(x97341)),x97343)))) % 209.33/209.64 [10138]~P106(f335(f335(f337(f933(f928(x101381),f928(x101381))),f335(f335(f260(f928(x101381),f928(x101381)),x101382),x101383)),f154(x101381,x101384)))+E(f335(f335(f182(x101381),f335(f196(f928(x101381)),x101382)),x101383),x101382)+P106(f335(f335(f337(f933(x101381,x101381)),f335(f335(f260(x101381,x101381),f335(f335(f171(x101381),x101382),f684(x101384,x101383,x101382,x101381))),f335(f335(f171(x101381),x101383),f684(x101384,x101383,x101382,x101381)))),x101384)) % 209.33/209.64 [10139]~P106(f335(f335(f337(f933(f928(x101391),f928(x101391))),f335(f335(f260(f928(x101391),f928(x101391)),x101392),x101393)),f154(x101391,x101394)))+P106(f335(f335(f244(a927),f335(f196(f928(x101391)),x101392)),f335(f196(f928(x101391)),x101393)))+P106(f335(f335(f337(f933(x101391,x101391)),f335(f335(f260(x101391,x101391),f335(f335(f171(x101391),x101392),f684(x101394,x101393,x101392,x101391))),f335(f335(f171(x101391),x101393),f684(x101394,x101393,x101392,x101391)))),x101394)) % 209.33/209.64 [10208]~E(f335(f196(f928(x102081)),x102082),f335(f196(f928(x102081)),x102083))+P106(f335(f335(f337(f933(f928(x102081),f928(x102081))),f335(f335(f260(f928(x102081),f928(x102081)),x102082),x102083)),f165(x102081,x102084)))+~P106(f335(f335(f337(f933(x102081,x102081)),f335(f335(f260(x102081,x102081),f335(f335(f171(x102081),x102082),f671(x102084,x102083,x102082,x102081))),f335(f335(f171(x102081),x102083),f671(x102084,x102083,x102082,x102081)))),x102084)) % 209.33/209.64 [10358]~P75(x103581)+~P106(f335(f66(x103582),x103584))+E(f335(f172(x103581),f335(f335(f161(x103582,x103581),x103583),f96(f928(x103582),f335(f335(f18(f928(x103582),a922,a922),f335(f335(f8(a922,f934(a922,a922),f928(x103582)),a333),f335(f335(f7(f928(x103582),f934(x103582,a922),a922),f335(f335(f8(f934(x103582,a922),f934(f934(x103582,a922),a922),f928(x103582)),a332),f179(x103582))),x103584))),f144(x103582))))),f240(x103582,x103581,x103583,x103584)) % 209.33/209.64 [7639]~P65(x76392)+E(x76391,f2(x76392))+E(f335(f335(f299(x76392),f335(f335(f86(x76392),x76393),f335(f335(f87(x76392),x76394),x76391))),x76391),f335(f335(f86(x76392),x76394),f335(f335(f299(x76392),x76393),x76391))) % 209.33/209.64 [7640]~P62(x76402)+E(x76401,f2(x76402))+E(f335(f335(f41(x76402),f335(f335(f86(x76402),x76403),f335(f335(f87(x76402),x76404),x76401))),x76401),f335(f335(f86(x76402),x76404),f335(f335(f41(x76402),x76403),x76401))) % 209.33/209.64 [7641]~P62(x76412)+E(x76411,f2(x76412))+E(f335(f335(f41(x76412),f335(f335(f86(x76412),x76413),f335(f335(f87(x76412),x76411),x76414))),x76411),f335(f335(f86(x76412),x76414),f335(f335(f41(x76412),x76413),x76411))) % 209.33/209.64 [7864]~P66(x78642)+E(x78641,f2(x78642))+E(f335(f335(f299(x78642),f335(f335(f23(x78642),x78643),f335(f335(f87(x78642),x78641),x78644))),x78641),f335(f335(f23(x78642),f335(f335(f299(x78642),x78643),x78641)),x78644)) % 209.33/209.64 [7865]~P65(x78652)+E(x78651,f2(x78652))+E(f335(f335(f299(x78652),f335(f335(f86(x78652),x78653),f335(f335(f87(x78652),x78654),x78651))),x78651),f335(f335(f86(x78652),f335(f335(f299(x78652),x78653),x78651)),x78654)) % 209.33/209.64 [7866]~P66(x78662)+E(x78661,f2(x78662))+E(f335(f335(f299(x78662),f335(f335(f86(x78662),x78663),f335(f335(f87(x78662),x78661),x78664))),x78661),f335(f335(f86(x78662),f335(f335(f299(x78662),x78663),x78661)),x78664)) % 209.33/209.64 [8558]~P106(f335(f167(x85581,x85583),x85584))+~P106(f335(f167(x85581,x85582),x85584))+P106(f335(f167(x85581,f335(f335(f108(f934(x85581,a922)),x85582),x85583)),x85584)) % 209.33/209.64 [8930]~E(f335(f335(f297(x89301,x89301,x89301),x89302),x89304),f195(f934(f933(x89301,x89301),a922)))+~E(f335(f335(f297(x89301,x89301,x89301),x89302),x89303),f195(f934(f933(x89301,x89301),a922)))+E(f335(f335(f297(x89301,x89301,x89301),x89302),f335(f335(f117(f934(f933(x89301,x89301),a922)),x89303),x89304)),f195(f934(f933(x89301,x89301),a922))) % 209.33/209.64 [9056]~P106(f335(f335(f243(f934(x90561,a922)),x90563),x90564))+~P106(f335(f335(f243(f934(x90561,a922)),x90562),x90564))+P106(f335(f335(f243(f934(x90561,a922)),f335(f335(f117(f934(x90561,a922)),x90562),x90563)),x90564)) % 209.33/209.64 [9432]~P106(f335(f66(x94321),x94324))+~P106(f335(f66(x94321),x94323))+E(f335(f335(f23(a927),f335(f335(f86(a927),f335(f335(f6(x94321,a927),x94322),x94323)),f335(f335(f6(x94321,a927),x94322),x94324))),f335(f335(f6(x94321,a927),x94322),f335(f335(f108(f934(x94321,a922)),x94323),x94324))),f335(f335(f6(x94321,a927),x94322),f335(f335(f117(f934(x94321,a922)),x94323),x94324))) % 209.33/209.64 [9520]~P106(f335(f335(f337(x95201),x95203),x95202))+~P106(f335(f335(f243(f934(x95201,a922)),x95202),f335(f335(f317(x95201),x95203),x95204)))+P106(f335(f335(f243(f934(x95201,a922)),f335(f335(f23(f934(x95201,a922)),x95202),f335(f335(f317(x95201),x95203),f195(f934(x95201,a922))))),x95204)) % 209.33/209.64 [9686]~P106(f335(f335(f337(x96861),x96863),x96862))+P106(f335(f335(f243(f934(x96861,a922)),x96862),f335(f335(f317(x96861),x96863),x96864)))+~P106(f335(f335(f243(f934(x96861,a922)),f335(f335(f23(f934(x96861,a922)),x96862),f335(f335(f317(x96861),x96863),f195(f934(x96861,a922))))),x96864)) % 209.33/209.64 [9774]~P106(f335(f335(f243(a927),x97741),x97743))+~P106(f335(f335(f244(a927),x97742),x97744))+P106(f335(f335(f337(f933(f933(a927,a927),f933(a927,a927))),f335(f335(f260(f933(a927,a927),f933(a927,a927)),f335(f335(f260(a927,a927),x97741),x97742)),f335(f335(f260(a927,a927),x97743),x97744))),a38)) % 209.33/209.64 [9775]~P106(f335(f335(f243(a927),x97752),x97754))+~P106(f335(f335(f243(a927),x97751),x97753))+P106(f335(f335(f337(f933(f933(a927,a927),f933(a927,a927))),f335(f335(f260(f933(a927,a927),f933(a927,a927)),f335(f335(f260(a927,a927),x97751),x97752)),f335(f335(f260(a927,a927),x97753),x97754))),a76)) % 209.33/209.64 [10068]~P106(f335(f335(f337(f928(x100681)),x100684),f168(x100681,x100683)))+~P106(f335(f335(f337(f928(x100681)),x100684),f168(x100681,x100682)))+P106(f335(f167(x100681,f335(f335(f108(f934(x100681,a922)),f335(f335(f7(x100681,f934(x100681,a922),a922),f337(x100681)),x100682)),f335(f335(f7(x100681,f934(x100681,a922),a922),f337(x100681)),x100683))),x100684)) % 209.33/209.64 [10174]~P25(x101741,f934(f934(x101741,a922),a922),f335(f335(f7(x101741,f934(f933(x101741,x101741),a922),f934(f934(x101741,a922),a922)),f335(f335(f8(f934(x101741,a922),f934(f934(f933(x101741,x101741),a922),f934(f934(x101741,a922),a922)),x101741),f65(x101741)),f335(f335(f7(x101741,f934(x101741,a922),f934(x101741,a922)),f317(x101741)),f195(f934(x101741,a922))))),x101743),x101742)+~P106(f335(f335(f337(x101741),x101744),x101742))+E(f335(f335(f23(f934(f934(x101741,a922),a922)),f335(f335(f65(x101741),x101742),x101743)),f335(f335(f65(x101741),f335(f335(f317(x101741),x101744),f195(f934(x101741,a922)))),x101743)),f335(f335(f65(x101741),f335(f335(f23(f934(x101741,a922)),x101742),f335(f335(f317(x101741),x101744),f195(f934(x101741,a922))))),x101743)) % 209.33/209.64 [10312]~P53(x103121,x103122,x103124)+~P106(f335(f335(f337(f933(x103121,x103121)),x103123),x103124))+P106(f335(f335(f265(x103121,x103121,a922),f335(f335(f7(x103121,f934(x103121,a922),f934(x103121,a922)),f335(f335(f8(f934(a922,a922),f934(f934(x103121,a922),f934(x103121,a922)),x103121),f8(a922,a922,x103121)),f335(f335(f8(a922,f934(a922,a922),x103121),a333),f335(f335(f7(x103121,f934(x103121,a922),a922),f337(x103121)),x103122)))),f335(f335(f7(x103121,f934(x103121,a922),a922),f337(x103121)),x103122))),x103123)) % 209.33/209.64 [10326]P106(f335(f66(x103261),x103262))+~P106(f335(f66(x103263),f335(f318(x103261,x103263,x103264),x103262)))+~P106(f335(f66(x103261),f335(f270(x103261),f335(f335(f18(x103261,a922,a922),f335(f335(f8(a922,f934(a922,a922),x103261),a333),f335(f335(f7(x103261,f934(x103261,a922),a922),f337(x103261)),x103262))),f335(f335(f7(x103261,x103263,a922),f335(f335(f8(x103263,f934(x103263,a922),x103261),a332),x103264)),f335(x103264,f571(x103264,x103263,x103262,x103261))))))) % 209.33/209.64 [8315]~P66(x83152)+E(x83151,f2(x83152))+E(f335(f335(f299(x83152),f335(f335(f23(x83152),f335(f335(f87(x83152),x83151),x83153)),x83154)),x83151),f335(f335(f23(x83152),x83153),f335(f335(f299(x83152),x83154),x83151))) % 209.33/209.64 [8316]~P66(x83162)+E(x83161,f2(x83162))+E(f335(f335(f299(x83162),f335(f335(f86(x83162),f335(f335(f87(x83162),x83161),x83163)),x83164)),x83161),f335(f335(f86(x83162),x83163),f335(f335(f299(x83162),x83164),x83161))) % 209.33/209.64 [9220]~E(f335(f335(f297(x92201,x92201,x92201),x92203),x92204),f195(f934(f933(x92201,x92201),a922)))+~E(f335(f335(f297(x92201,x92201,x92201),x92202),x92204),f195(f934(f933(x92201,x92201),a922)))+E(f335(f335(f297(x92201,x92201,x92201),f335(f335(f117(f934(f933(x92201,x92201),a922)),x92202),x92203)),x92204),f195(f934(f933(x92201,x92201),a922))) % 209.33/209.64 [9984]~P106(f335(f167(x99841,x99843),x99844))+~P106(f335(f167(x99841,x99842),x99844))+P106(f335(f167(x99841,f335(f335(f18(x99841,a922,a922),f335(f335(f8(a922,f934(a922,a922),x99841),a333),x99842)),x99843)),x99844)) % 209.33/209.64 [10248]P106(f335(x102481,f347(x102482,x102483,x102481,x102484)))+~P106(f335(f66(x102484),f335(f270(x102484),x102481)))+P106(f335(f66(x102483),f335(f270(x102483),f335(f335(f8(f934(x102484,a922),a922,x102483),f93(x102484)),f335(f335(f8(f934(x102484,a922),f934(x102484,a922),x102483),f335(f18(x102484,a922,a922),f335(f335(f8(a922,f934(a922,a922),x102484),a333),x102481))),x102482))))) % 209.33/209.64 [10266]~P106(f335(f66(x102662),f335(f270(x102662),x102663)))+~P106(f335(f66(x102661),f335(f270(x102661),f335(f335(f7(x102661,x102662,a922),x102664),f347(x102664,x102661,x102663,x102662)))))+P106(f335(f66(x102661),f335(f270(x102661),f335(f335(f8(f934(x102662,a922),a922,x102661),f93(x102662)),f335(f335(f8(f934(x102662,a922),f934(x102662,a922),x102661),f335(f18(x102662,a922,a922),f335(f335(f8(a922,f934(a922,a922),x102662),a333),x102663))),x102664))))) % 209.33/209.64 [10337]~P106(f335(f66(x103371),x103374))+P106(f335(f335(f337(x103371),f820(x103372,x103373,x103374,x103371)),x103374))+P106(f335(f66(x103373),f335(f270(x103373),f335(f335(f8(f934(x103371,a922),a922,x103373),f93(x103371)),f335(f335(f8(f934(x103371,a922),f934(x103371,a922),x103373),f335(f18(x103371,a922,a922),f335(f335(f8(a922,f934(a922,a922),x103371),a333),f335(f335(f7(x103371,f934(x103371,a922),a922),f337(x103371)),x103374)))),x103372))))) % 209.33/209.64 [10343]~P106(f335(f66(x103432),x103433))+~P106(f335(f66(x103431),f335(f270(x103431),f335(f335(f7(x103431,x103432,a922),x103434),f820(x103434,x103431,x103433,x103432)))))+P106(f335(f66(x103431),f335(f270(x103431),f335(f335(f8(f934(x103432,a922),a922,x103431),f93(x103432)),f335(f335(f8(f934(x103432,a922),f934(x103432,a922),x103431),f335(f18(x103432,a922,a922),f335(f335(f8(a922,f934(a922,a922),x103432),a333),f335(f335(f7(x103432,f934(x103432,a922),a922),f337(x103432)),x103433)))),x103434))))) % 209.33/209.64 [5276]~E(x52762,x52764)+E(f176(x52761,x52762,x52763),f176(x52761,x52764,x52765))+~E(x52762,f2(a927)) % 209.33/209.64 [5529]E(x55291,x55292)+~E(f176(x55294,x55293,x55291),f176(x55294,x55295,x55292))+E(x55293,f2(a927)) % 209.33/209.64 [6780]E(x67801,x67802)+~E(f335(x67803,x67801),f335(x67803,x67802))+~P25(x67804,x67805,x67803,f250(f934(x67804,a922))) % 209.33/209.64 [7671]E(x76711,x76712)+~P25(x76713,x76714,x76715,f250(f934(x76713,a922)))+~E(f335(f318(x76713,x76714,x76715),x76711),f335(f318(x76713,x76714,x76715),x76712)) % 209.33/209.64 [7917]P25(x79172,x79173,f500(x79174,x79173,x79172,x79171),x79171)+~E(f335(f318(x79173,x79172,x79175),x79174),x79171)+E(x79171,f195(f934(x79172,a922))) % 209.33/209.64 [8440]~P106(f335(f335(x84403,x84402),x84405))+~P106(f335(f335(x84403,x84404),x84402))+P106(f335(f335(f337(x84401),x84402),f298(x84401,x84403,x84404,x84405))) % 209.33/209.64 [8441]~P106(f335(f335(x84413,x84412),x84415))+~P106(f335(f335(x84413,x84414),x84412))+P106(f335(f335(f337(x84411),x84412),f307(x84411,x84413,x84414,x84415))) % 209.33/209.64 [8747]~P25(x87471,x87472,x87473,x87474)+P26(x87471,x87472,x87473,x87474,x87475)+~E(f335(f318(x87471,x87472,x87473),x87474),x87475) % 209.33/209.64 [8880]~P26(x88801,x88803,x88804,x88802,x88805)+~P106(f335(f66(x88803),x88805))+P106(f335(f66(x88801),x88802)) % 209.33/209.64 [8881]~P26(x88813,x88811,x88814,x88815,x88812)+~P106(f335(f66(x88813),x88815))+P106(f335(f66(x88811),x88812)) % 209.33/209.64 [9013]~P25(x90131,x90133,x90135,f250(f934(x90131,a922)))+~P25(x90133,x90132,x90134,f250(f934(x90133,a922)))+P25(x90131,x90132,f335(f78(x90133,x90132,x90131,x90134),x90135),f250(f934(x90131,a922))) % 209.33/209.64 [9579]P106(f335(f335(f337(f933(x95791,x95791)),f335(f335(f260(x95791,x95791),x95792),x95793)),f315(x95791,x95794)))+~P106(f335(f335(f337(f933(x95791,x95791)),f335(f335(f260(x95791,x95791),x95792),x95795)),f315(x95791,x95794)))+~P106(f335(f335(f337(f933(x95791,x95791)),f335(f335(f260(x95791,x95791),x95795),x95793)),f315(x95791,x95794))) % 209.33/209.64 [9617]~P108(x96172)+~P106(f335(f144(x96171),x96175))+P106(f335(f144(x96171),f156(x96171,x96172,x96173,x96174,x96175))) % 209.33/209.64 [5603]~E(x56032,f120(x56031))+E(f335(f335(f141(x56031),x56032),x56033),f335(f335(f158(x56031),x56034),x56035))+~E(x56033,f335(f335(f158(x56031),x56034),x56035)) % 209.33/209.64 [5604]~E(x56042,f120(x56041))+E(f335(f335(f141(x56041),x56042),x56043),f335(f335(f158(x56041),x56044),x56045))+~E(f335(f335(f158(x56041),x56044),x56045),x56043) % 209.33/209.64 [6736]~E(f335(f196(f928(x67361)),x67365),f335(f196(f928(x67362)),x67364))+E(f335(f335(f161(f933(x67361,x67362),x67362),f264(x67361,x67362)),x67363),x67364)+~E(f335(f335(f188(x67361,x67362),x67365),x67364),x67363) % 209.33/209.64 [6737]~E(f335(f196(f928(x67371)),x67374),f335(f196(f928(x67372)),x67375))+E(f335(f335(f161(f933(x67371,x67372),x67371),f259(x67371,x67372)),x67373),x67374)+~E(f335(f335(f188(x67371,x67372),x67374),x67375),x67373) % 209.33/209.64 [7209]~P108(x72091)+~P13(x72091,f335(f335(f161(x72092,x72091),x72093),x72095))+P13(x72091,f335(f335(f161(x72092,x72091),x72093),f335(f143(x72092,x72094),x72095))) % 209.33/209.64 [7251]~P106(f335(x72513,x72515))+~P106(f335(f335(x72512,x72514),x72515))+P106(f335(f335(f99(x72511,x72512,x72513),x72514),x72515)) % 209.33/209.64 [7350]~P108(x73501)+P13(x73501,f335(f335(f161(x73502,x73501),x73503),f177(x73502,x73504,x73505)))+~P13(x73501,f335(f335(f161(x73502,x73501),x73503),x73505)) % 209.33/209.64 [7373]~P55(x73733,x73732,x73735)+~P55(x73731,x73733,x73734)+P55(x73731,x73732,f335(f335(f297(x73731,x73733,x73732),x73734),x73735)) % 209.33/209.64 [7467]E(x74671,x74672)+~P25(x74673,x74674,x74675,f250(f934(x74673,a922)))+~E(f335(f335(f161(x74673,x74674),x74675),x74671),f335(f335(f161(x74673,x74674),x74675),x74672)) % 209.33/209.64 [7625]~P106(f335(f335(f243(a927),x76251),f335(x76253,x76255)))+P106(f335(f335(f243(a927),x76251),f162(x76252,x76253,x76254)))+~P106(f335(f335(f337(x76252),x76255),f335(f179(x76252),x76254))) % 209.33/209.64 [7626]~P106(f335(f335(f244(a927),x76261),f335(x76263,x76265)))+P106(f335(f335(f244(a927),x76261),f162(x76262,x76263,x76264)))+~P106(f335(f335(f337(x76262),x76265),f335(f179(x76262),x76264))) % 209.33/209.64 [8013]P106(f335(x80131,x80132))+~P106(f335(x80131,x80133))+~P106(f335(f335(f337(x80134),x80132),f335(f179(x80134),f176(x80134,x80135,x80133)))) % 209.33/209.64 [8014]P106(f335(x80141,x80142))+~P106(f335(x80141,x80143))+~P106(f335(f335(f337(x80144),x80143),f335(f179(x80144),f176(x80144,x80145,x80142)))) % 209.33/209.64 [8018]~P110(x80181)+P106(f335(f335(f243(f934(x80181,a922)),f311(x80181,x80182,x80183)),f311(x80181,x80184,x80185)))+P106(f335(f335(f243(x80181),x80182),x80183)) % 209.33/209.64 [8039]~P5(x80391)+P106(f335(f335(f243(x80391),f335(f335(f45(x80392,x80391),x80393),x80394)),f335(x80394,x80395)))+~P106(f335(f335(f337(x80392),x80395),x80393)) % 209.33/209.64 [8106]~P25(x81061,x81062,x81064,x81063)+E(f335(f83(x81061,x81062,x81063,x81064),f335(x81064,x81065)),x81065)+~P106(f335(f335(f337(x81061),x81065),x81063)) % 209.33/209.64 [8107]~P25(x81071,x81072,x81074,x81073)+E(f335(f97(x81071,x81072,x81073,x81074),f335(x81074,x81075)),x81075)+~P106(f335(f335(f337(x81071),x81075),x81073)) % 209.33/209.64 [8304]~P106(f335(x83041,x83045))+P106(f335(x83041,f882(x83041,x83042,x83043,x83044)))+~P106(f335(f335(f337(x83044),x83045),x83043)) % 209.33/209.64 [8305]~P106(f335(x83051,x83055))+P106(f335(x83051,f882(x83051,x83052,x83053,x83054)))+~P106(f335(f335(f337(x83054),x83055),x83052)) % 209.33/209.64 [8394]P106(f335(f66(x83941),x83942))+~P106(f335(f66(x83943),x83944))+~P106(f335(f335(f243(f934(x83941,a922)),x83942),f335(f318(x83943,x83941,x83945),x83944))) % 209.33/209.64 [8562]E(x85621,x85622)+~P25(x85623,x85624,x85625,f335(f335(f117(f934(x85623,a922)),f335(f179(x85623),x85621)),f335(f179(x85623),x85622)))+~E(f335(f335(f161(x85623,x85624),x85625),x85621),f335(f335(f161(x85623,x85624),x85625),x85622)) % 209.33/209.64 [8615]~P110(x86151)+~P106(f335(f335(f244(f934(x86151,a922)),f311(x86151,x86154,x86155)),f311(x86151,x86152,x86153)))+P106(f335(f335(f243(x86151),x86152),x86153)) % 209.33/209.64 [8677]~P25(x86771,x86774,x86775,f250(f934(x86771,a922)))+~P106(f335(f335(f337(x86774),f335(x86775,x86772)),f335(f318(x86771,x86774,x86775),x86773)))+P106(f335(f335(f337(x86771),x86772),x86773)) % 209.33/209.64 [8753]P106(f335(x87531,x87532))+~P106(f335(x87531,f885(x87531,x87533,x87534,x87535)))+~P106(f335(f335(f337(x87535),x87532),x87534)) % 209.33/209.64 [8754]P106(f335(x87541,x87542))+~P106(f335(x87541,f885(x87541,x87543,x87544,x87545)))+~P106(f335(f335(f337(x87545),x87542),x87543)) % 209.33/209.64 [9053]~P25(x90532,x90533,x90531,x90534)+E(f335(x90531,f335(f83(x90532,x90533,x90534,x90531),x90535)),x90535)+~P106(f335(f335(f337(x90533),x90535),f335(f318(x90532,x90533,x90531),x90534))) % 209.33/209.64 [9160]E(x91601,f120(x91602))+E(f335(f335(f158(x91602),x91603),f704(x91604,x91603,x91605,x91601,x91602)),x91601)+~E(f335(f335(f141(x91602),x91601),x91605),f335(f335(f158(x91602),x91603),x91604)) % 209.33/209.64 [9161]E(x91611,f120(x91612))+E(f335(f335(f158(x91612),x91613),f705(x91614,x91611,x91615,x91613,x91612)),x91611)+~E(f335(f335(f141(x91612),x91611),x91614),f335(f335(f158(x91612),x91613),x91615)) % 209.33/209.64 [9179]E(f335(f335(f158(x91792),x91793),f704(x91794,x91793,x91791,x91795,x91792)),x91795)+~E(f335(f335(f141(x91792),x91795),x91791),f335(f335(f158(x91792),x91793),x91794))+E(x91791,f335(f335(f158(x91792),x91793),x91794)) % 209.33/209.64 [9180]E(f335(f335(f158(x91801),x91802),f705(x91804,x91805,x91803,x91802,x91801)),x91805)+~E(f335(f335(f141(x91801),x91805),x91804),f335(f335(f158(x91801),x91802),x91803))+E(f335(f335(f158(x91801),x91802),x91803),x91804) % 209.33/209.64 [9256]~E(f335(f318(x92563,x92562,x92564),f250(f934(x92563,a922))),f250(f934(x92562,a922)))+~E(f335(f318(x92561,x92563,x92565),f250(f934(x92561,a922))),f250(f934(x92563,a922)))+E(f335(f318(x92561,x92562,f335(f78(x92563,x92562,x92561,x92564),x92565)),f250(f934(x92561,a922))),f250(f934(x92562,a922))) % 209.33/209.64 [9623]E(x96231,f120(x96232))+~E(f335(f335(f141(x96232),x96231),x96233),f335(f335(f158(x96232),x96235),x96234))+E(f335(f335(f141(x96232),f705(x96233,x96231,x96234,x96235,x96232)),x96233),x96234) % 209.33/209.64 [9624]E(x96241,f120(x96242))+~E(f335(f335(f141(x96242),x96241),x96245),f335(f335(f158(x96242),x96244),x96243))+E(f335(f335(f141(x96242),f704(x96243,x96244,x96245,x96241,x96242)),x96245),x96243) % 209.33/209.64 [9631]E(f335(f335(f141(x96312),f704(x96314,x96313,x96311,x96315,x96312)),x96311),x96314)+~E(f335(f335(f141(x96312),x96315),x96311),f335(f335(f158(x96312),x96313),x96314))+E(x96311,f335(f335(f158(x96312),x96313),x96314)) % 209.33/209.64 [9632]~E(f335(f335(f141(x96321),x96325),x96324),f335(f335(f158(x96321),x96322),x96323))+E(f335(f335(f141(x96321),f705(x96324,x96325,x96323,x96322,x96321)),x96324),x96323)+E(f335(f335(f158(x96321),x96322),x96323),x96324) % 209.33/209.64 [9633]E(f335(f335(f141(x96331),x96335),f707(x96333,x96332,x96334,x96335,x96331)),x96332)+E(f335(f335(f141(x96331),x96332),f706(x96333,x96332,x96334,x96335,x96331)),x96335)+~E(f335(f335(f141(x96331),x96335),x96334),f335(f335(f141(x96331),x96332),x96333)) % 209.33/209.64 [9669]~P108(x96691)+P13(x96691,f335(f335(f161(x96692,x96691),x96693),f156(x96692,x96691,x96693,x96694,x96695)))+~P13(x96691,f335(f335(f161(x96692,x96691),x96693),x96695)) % 209.33/209.64 [9683]~P59(x96835,x96831,x96834,x96833)+P106(f335(f335(x96831,x96832),f360(x96833,x96834,x96831,x96835,x96832)))+~P106(f335(f335(f337(x96835),x96832),x96834)) % 209.33/209.64 [9684]~P59(x96845,x96841,x96844,x96843)+P106(f335(f335(x96841,x96842),f824(x96843,x96844,x96841,x96845,x96842)))+~P106(f335(f335(f337(x96845),x96842),x96844)) % 209.33/209.64 [9786]~P106(f335(f335(f337(f933(x97861,x97861)),f335(f335(f260(x97861,x97861),x97865),x97863)),f315(x97861,x97864)))+P106(f335(f335(f337(f933(x97861,x97861)),f335(f335(f260(x97861,x97861),x97862),x97863)),f335(f335(f297(x97861,x97861,x97861),x97864),f315(x97861,x97864))))+~P106(f335(f335(f337(f933(x97861,x97861)),f335(f335(f260(x97861,x97861),x97862),x97865)),f335(f335(f297(x97861,x97861,x97861),x97864),f315(x97861,x97864)))) % 209.33/209.64 [9787]~P106(f335(f335(f337(f933(x97871,x97871)),f335(f335(f260(x97871,x97871),x97872),x97875)),f315(x97871,x97874)))+P106(f335(f335(f337(f933(x97871,x97871)),f335(f335(f260(x97871,x97871),x97872),x97873)),f335(f335(f297(x97871,x97871,x97871),x97874),f315(x97871,x97874))))+~P106(f335(f335(f337(f933(x97871,x97871)),f335(f335(f260(x97871,x97871),x97875),x97873)),f335(f335(f297(x97871,x97871,x97871),x97874),f315(x97871,x97874)))) % 209.33/209.64 [9789]P106(f335(f335(f337(f933(f928(x97891),f928(x97891))),f335(f335(f260(f928(x97891),f928(x97891)),x97892),x97893)),f165(x97891,f315(x97891,x97894))))+~P106(f335(f335(f337(f933(f928(x97891),f928(x97891))),f335(f335(f260(f928(x97891),f928(x97891)),x97892),x97895)),f165(x97891,f315(x97891,x97894))))+~P106(f335(f335(f337(f933(f928(x97891),f928(x97891))),f335(f335(f260(f928(x97891),f928(x97891)),x97895),x97893)),f165(x97891,f315(x97891,x97894)))) % 209.33/209.64 [9793]E(f335(f335(f141(x97931),x97932),f706(x97933,x97932,x97934,x97935,x97931)),x97935)+E(f335(f335(f141(x97931),f707(x97933,x97932,x97934,x97935,x97931)),x97933),x97934)+~E(f335(f335(f141(x97931),x97932),x97933),f335(f335(f141(x97931),x97935),x97934)) % 209.33/209.64 [9794]E(f335(f335(f141(x97941),x97942),f707(x97943,x97944,x97945,x97942,x97941)),x97944)+E(f335(f335(f141(x97941),f706(x97943,x97944,x97945,x97942,x97941)),x97945),x97943)+~E(f335(f335(f141(x97941),x97942),x97945),f335(f335(f141(x97941),x97944),x97943)) % 209.33/209.64 [9848]P106(f335(f335(f337(f933(x98481,x98481)),f335(f335(f260(x98481,x98481),x98482),x98483)),f335(f335(f297(x98481,x98481,x98481),x98484),f315(x98481,x98484))))+~P106(f335(f335(f337(f933(x98481,x98481)),f335(f335(f260(x98481,x98481),x98482),x98485)),f335(f335(f297(x98481,x98481,x98481),x98484),f315(x98481,x98484))))+~P106(f335(f335(f337(f933(x98481,x98481)),f335(f335(f260(x98481,x98481),x98485),x98483)),f335(f335(f297(x98481,x98481,x98481),x98484),f315(x98481,x98484)))) % 209.33/209.64 [9875]P34(x98751,x98752,x98753,x98754,x98755)+~E(f335(f196(f928(x98751)),x98754),f335(f196(f928(x98752)),x98755))+~P106(f335(f335(f265(x98751,x98752,a922),x98753),f722(x98755,x98754,x98753,x98752,x98751))) % 209.33/209.64 [9876]P34(x98761,x98762,x98763,x98764,x98765)+~E(f335(f196(f928(x98761)),x98764),f335(f196(f928(x98762)),x98765))+~P106(f335(f335(f265(x98761,x98762,a922),x98763),f723(x98763,x98765,x98764,x98762,x98761))) % 209.33/209.64 [9882]E(f335(f335(f141(x98821),f706(x98822,x98823,x98824,x98825,x98821)),x98824),x98822)+~E(f335(f335(f141(x98821),x98823),x98822),f335(f335(f141(x98821),x98825),x98824))+E(f335(f335(f141(x98821),f707(x98822,x98823,x98824,x98825,x98821)),x98822),x98824) % 209.33/209.64 [9897]~P108(x98972)+E(f335(f335(f155(x98971,x98972,x98973),x98974),x98975),f335(f335(f158(x98971),x98974),x98975))+P106(f335(f335(f337(x98971),f766(x98974,x98973,x98975,x98971,x98972)),f335(f179(x98971),x98975))) % 209.33/209.64 [9901]~P59(x99011,x99014,x99013,x99012)+~P106(f335(f335(f337(x99011),x99015),x99013))+P106(f335(f335(f337(x99011),f360(x99012,x99013,x99014,x99011,x99015)),x99012)) % 209.33/209.64 [9902]~P59(x99021,x99024,x99023,x99022)+~P106(f335(f335(f337(x99021),x99025),x99023))+P106(f335(f335(f337(x99021),f824(x99022,x99023,x99024,x99021,x99025)),x99022)) % 209.33/209.64 [10017]~P106(f335(f335(f337(f933(f934(x100171,a922),f934(x100171,a922))),f335(f335(f260(f934(x100171,a922),f934(x100171,a922)),x100174),x100173)),f326(x100171,x100172)))+~P106(f335(f335(f337(x100171),x100175),x100174))+P106(f335(f335(f337(x100171),f611(x100172,x100173,x100174,x100171,x100175)),x100173)) % 209.33/209.64 [10027]~P108(x100272)+E(f335(f335(f155(x100271,x100272,x100273),x100274),x100275),f335(f335(f158(x100271),x100274),x100275))+~P106(f335(f335(f243(x100272),f335(x100273,x100274)),f335(x100273,f766(x100274,x100273,x100275,x100271,x100272)))) % 209.33/209.64 [10077]~P25(x100773,x100774,x100775,f250(f934(x100773,a922)))+P106(f335(x100771,x100772))+~P106(f335(x100771,f335(f97(x100773,x100774,f250(f934(x100773,a922)),x100775),f608(x100772,x100771,x100775,x100774,x100773)))) % 209.33/209.64 [10225]P34(x102251,x102252,x102253,x102254,x102255)+~E(f335(f196(f928(x102251)),x102254),f335(f196(f928(x102252)),x102255))+~P106(f335(f335(x102253,f335(f335(f171(x102251),x102254),f724(x102255,x102254,x102253,x102252,x102251))),f335(f335(f171(x102252),x102255),f724(x102255,x102254,x102253,x102252,x102251)))) % 209.33/209.64 [10226]P34(x102261,x102262,x102263,x102264,x102265)+~E(f335(f196(f928(x102261)),x102264),f335(f196(f928(x102262)),x102265))+~P106(f335(f335(x102263,f335(f335(f171(x102261),x102264),f759(x102263,x102265,x102262,x102264,x102261))),f335(f335(f171(x102262),x102265),f759(x102263,x102265,x102262,x102264,x102261)))) % 209.33/209.64 [6810]~P17(x68102,x68105,x68101)+~P106(f335(f66(x68102),x68104))+E(f335(x68101,f335(f335(f317(x68102),x68103),x68104)),f335(f335(f69(x68102,x68102,x68105),x68103),x68104)) % 209.33/209.64 [6811]~E(x68113,x68114)+~E(x68112,x68115)+E(f335(f335(f317(x68111),x68112),f335(f335(f317(x68111),x68113),f195(f934(x68111,a922)))),f335(f335(f317(x68111),x68114),f335(f335(f317(x68111),x68115),f195(f934(x68111,a922))))) % 209.33/209.64 [6821]P106(f335(x68212,x68215))+E(f184(x68211,x68212,f335(f335(f141(x68211),x68213),x68214)),f184(x68211,x68212,x68213))+~P106(f335(f335(f337(x68211),x68215),f335(f179(x68211),x68213))) % 209.33/209.64 [6859]E(f335(x68591,x68592),f195(f934(x68593,a922)))+~E(f335(f335(f44(x68594,f934(x68593,a922)),x68595),x68591),f195(f934(x68593,a922)))+~P106(f335(f335(f337(x68594),x68592),x68595)) % 209.33/209.64 [6860]E(f335(x68601,x68602),f250(f934(x68603,a922)))+~E(f335(f335(f45(x68604,f934(x68603,a922)),x68605),x68601),f250(f934(x68603,a922)))+~P106(f335(f335(f337(x68604),x68602),x68605)) % 209.33/209.64 [7360]~E(x73602,x73604)+~P143(x73601)+E(f335(f335(f86(x73601),f335(f335(f87(x73601),x73602),x73603)),f335(f335(f87(x73601),x73604),x73605)),f335(f335(f86(x73601),f335(f335(f87(x73601),x73602),x73605)),f335(f335(f87(x73601),x73604),x73603))) % 209.33/209.64 [7420]~P5(x74201)+~P106(f335(f335(f337(x74204),x74203),x74205))+P106(f335(f335(f243(x74201),f335(x74202,x74203)),f335(f335(f44(x74204,x74201),x74205),x74202))) % 209.33/209.64 [7472]~P109(x74721)+P106(f335(f335(f243(x74721),f335(x74722,x74723)),f335(x74724,x74723)))+~P106(f335(f335(f243(f934(x74725,x74721)),x74722),x74724)) % 209.33/209.64 [7596]E(x75961,x75962)+E(x75963,x75961)+~E(f335(f335(f317(x75964),x75961),f335(f335(f317(x75964),x75965),f195(f934(x75964,a922)))),f335(f335(f317(x75964),x75962),f335(f335(f317(x75964),x75963),f195(f934(x75964,a922))))) % 209.33/209.64 [7597]E(x75971,x75972)+E(x75973,x75971)+~E(f335(f335(f317(x75974),x75973),f335(f335(f317(x75974),x75972),f195(f934(x75974,a922)))),f335(f335(f317(x75974),x75975),f335(f335(f317(x75974),x75971),f195(f934(x75974,a922))))) % 209.33/209.64 [7598]E(x75981,x75982)+E(x75981,x75983)+~E(f335(f335(f317(x75984),x75983),f335(f335(f317(x75984),x75982),f195(f934(x75984,a922)))),f335(f335(f317(x75984),x75985),f335(f335(f317(x75984),x75981),f195(f934(x75984,a922))))) % 209.33/209.64 [7599]E(x75991,x75992)+E(x75991,x75993)+~E(f335(f335(f317(x75994),x75991),f335(f335(f317(x75994),x75995),f195(f934(x75994,a922)))),f335(f335(f317(x75994),x75992),f335(f335(f317(x75994),x75993),f195(f934(x75994,a922))))) % 209.33/209.64 [8116]P25(x81161,x81162,x81163,x81164)+~P25(x81161,x81162,x81163,x81165)+~P106(f335(f335(f243(f934(x81161,a922)),x81164),x81165)) % 209.33/209.64 [8145]~E(f335(x81453,x81455),x81454)+~P25(x81451,x81452,x81453,f250(f934(x81451,a922)))+E(f335(f97(x81451,x81452,f250(f934(x81451,a922)),x81453),x81454),x81455) % 209.33/209.64 [8292]E(x82921,x82922)+~E(f335(f318(x82923,x82924,x82925),x82921),f335(f318(x82923,x82924,x82925),x82922))+~P25(x82923,x82924,x82925,f335(f335(f117(f934(x82923,a922)),x82921),x82922)) % 209.33/209.64 [8364]P106(f335(x83642,x83644))+E(f335(f335(f145(x83641),f335(f196(f928(x83641)),f184(x83641,x83642,x83643))),x83643),f335(f335(f158(x83641),x83644),x83645))+~E(f335(f335(f141(x83641),f184(x83641,x83642,x83643)),f335(f335(f158(x83641),x83644),x83645)),x83643) % 209.33/209.64 [8392]~P25(x83921,x83922,x83923,x83925)+~P25(x83921,x83922,x83923,x83924)+P25(x83921,x83922,x83923,f335(f335(f108(f934(x83921,a922)),x83924),x83925)) % 209.33/209.64 [8501]~P75(x85011)+E(f335(f335(f86(x85011),f335(x85012,x85013)),f335(f172(x85011),f335(f335(f161(x85014,x85011),x85012),f177(x85014,x85013,x85015)))),f335(f172(x85011),f335(f335(f161(x85014,x85011),x85012),x85015)))+~P106(f335(f335(f337(x85014),x85013),f335(f179(x85014),x85015))) % 209.33/209.64 [8588]~P108(x85881)+~P13(x85881,f335(f335(f161(x85882,x85881),x85883),x85885))+P13(x85881,f335(f335(f161(x85882,x85881),x85883),f335(f335(f155(x85882,x85881,x85883),x85884),x85885))) % 209.33/209.64 [8673]~P5(x86731)+P106(f335(f335(f243(x86731),f335(f335(f44(x86732,x86731),x86733),x86734)),f335(f335(f44(x86732,x86731),x86735),x86734)))+~P106(f335(f335(f243(f934(x86732,a922)),x86733),x86735)) % 209.33/209.64 [8674]~P5(x86741)+P106(f335(f335(f243(x86741),f335(f335(f45(x86742,x86741),x86743),x86744)),f335(f335(f45(x86742,x86741),x86745),x86744)))+~P106(f335(f335(f243(f934(x86742,a922)),x86745),x86743)) % 209.33/209.64 [8707]~P108(x87073)+P106(f335(f144(x87071),x87072))+~P106(f335(f144(x87071),f335(f335(f155(x87071,x87073,x87074),x87075),x87072))) % 209.33/209.64 [8852]~P108(x88521)+~P106(f335(f335(f337(x88522),x88523),f335(f179(x88522),x88524)))+~P106(f335(f144(x88522),f335(f335(f155(x88522,x88521,x88525),x88523),x88524))) % 209.33/209.64 [8942]~P108(x89421)+P13(x89421,f335(f335(f161(x89422,x89421),x89423),x89424))+~P13(x89421,f335(f335(f161(x89422,x89421),x89423),f335(f335(f155(x89422,x89421,x89423),x89425),x89424))) % 209.33/209.64 [8988]~P25(x89882,x89881,x89884,x89883)+E(f335(f318(x89881,x89882,f97(x89882,x89881,x89883,x89884)),f335(f318(x89882,x89881,x89884),x89885)),x89885)+~P106(f335(f335(f243(f934(x89882,a922)),x89885),x89883)) % 209.33/209.64 [9041]~P108(x90412)+E(f335(f335(f155(x90411,x90412,x90413),x90414),x90415),f156(x90411,x90412,x90413,x90414,x90415))+P106(f335(f335(f337(x90412),f335(x90413,x90414)),f335(f318(x90411,x90412,x90413),f335(f179(x90411),x90415)))) % 209.33/209.64 [9122]~P108(x91222)+E(f156(x91221,x91222,x91223,x91224,x91225),x91225)+~P106(f335(f335(f337(x91222),f335(x91223,x91224)),f335(f318(x91221,x91222,x91223),f335(f179(x91221),x91225)))) % 209.33/209.64 [9138]~P25(x91382,x91381,x91383,x91385)+P106(f335(f335(f244(f934(x91381,a922)),f335(f318(x91382,x91381,x91383),x91384)),f335(f318(x91382,x91381,x91383),x91385)))+~P106(f335(f335(f244(f934(x91382,a922)),x91384),x91385)) % 209.33/209.64 [9297]~P25(x92971,x92972,x92973,f250(f934(x92971,a922)))+~P106(f335(f335(f243(f934(x92972,a922)),x92974),f335(f318(x92971,x92972,x92973),x92975)))+P106(f335(f335(f243(f934(x92971,a922)),f335(f319(x92971,x92972,x92973),x92974)),x92975)) % 209.33/209.64 [9321]~E(f335(f318(x93213,x93211,x93214),f250(f934(x93213,a922))),f250(f934(x93211,a922)))+P106(f335(f335(f243(f934(x93211,a922)),x93212),f335(f318(x93213,x93211,x93214),x93215)))+~P106(f335(f335(f243(f934(x93213,a922)),f335(f319(x93213,x93211,x93214),x93212)),x93215)) % 209.33/209.64 [9425]~P25(x94251,x94254,x94255,f250(f934(x94251,a922)))+~P106(f335(f335(f243(f934(x94254,a922)),f335(f318(x94251,x94254,x94255),x94252)),f335(f318(x94251,x94254,x94255),x94253)))+P106(f335(f335(f243(f934(x94251,a922)),x94252),x94253)) % 209.33/209.64 [9547]~P81(x95471)+~E(f335(x95473,f743(x95473,x95474,x95475,x95472,x95471)),f2(x95471))+E(f335(f172(x95471),f335(f335(f161(x95472,x95471),x95473),f335(f143(x95472,x95474),x95475))),f335(f172(x95471),f335(f335(f161(x95472,x95471),x95473),x95475))) % 209.33/209.64 [9574]~P26(x95741,x95742,x95743,f250(f934(x95741,a922)),f250(f934(x95742,a922)))+~P106(f335(f335(f243(f934(x95742,a922)),x95744),f335(f318(x95741,x95742,x95743),x95745)))+P106(f335(f335(f243(f934(x95741,a922)),f335(f319(x95741,x95742,x95743),x95744)),x95745)) % 209.33/209.64 [9603]~P26(x96033,x96031,x96034,f250(f934(x96033,a922)),f250(f934(x96031,a922)))+P106(f335(f335(f243(f934(x96031,a922)),x96032),f335(f318(x96033,x96031,x96034),x96035)))+~P106(f335(f335(f243(f934(x96033,a922)),f335(f319(x96033,x96031,x96034),x96032)),x96035)) % 209.33/209.64 [9727]~P16(x97271,x97272,x97273)+~P106(f335(f66(x97271),x97275))+P106(f335(f71(x97271,x97272,x97273,x97274,x97275),f335(f335(f69(x97271,x97272,x97273),x97274),x97275))) % 209.33/209.64 [9806]~P26(x98062,x98061,x98064,f250(f934(x98062,a922)),f250(f934(x98061,a922)))+~P26(x98061,x98063,x98065,f250(f934(x98061,a922)),f250(f934(x98063,a922)))+E(f335(f78(x98061,x98062,x98063,f97(x98062,x98061,f250(f934(x98062,a922)),x98064)),f97(x98061,x98063,f250(f934(x98061,a922)),x98065)),f97(x98062,x98063,f250(f934(x98062,a922)),f335(f78(x98061,x98063,x98062,x98065),x98064))) % 209.33/209.64 [9807]P106(f335(x98071,f878(x98072,x98071,x98073,x98074,x98075)))+~P106(f335(f335(f243(f934(x98075,a922)),x98074),x98073))+P106(f335(f335(f243(f934(x98075,a922)),f335(f335(f108(f934(x98075,a922)),x98074),f335(f270(x98075),x98071))),f335(f335(f108(f934(x98075,a922)),x98073),f335(f270(x98075),x98072)))) % 209.33/209.64 [9821]~P81(x98211)+~P106(f335(x98214,f743(x98213,x98214,x98215,x98212,x98211)))+E(f335(f172(x98211),f335(f335(f161(x98212,x98211),x98213),f335(f143(x98212,x98214),x98215))),f335(f172(x98211),f335(f335(f161(x98212,x98211),x98213),x98215))) % 209.33/209.64 [9899]~P5(x98995)+P106(f335(f335(f337(x98991),f652(x98992,x98993,x98991,x98994,x98995)),x98993))+P106(f335(f335(f243(x98995),x98994),f335(f335(f45(x98991,x98995),x98993),x98992))) % 209.33/209.64 [9903]~P81(x99031)+E(f335(f172(x99031),f335(f335(f161(x99032,x99031),x99033),f335(f143(x99032,x99034),x99035))),f335(f172(x99031),f335(f335(f161(x99032,x99031),x99033),x99035)))+P106(f335(f335(f337(x99032),f743(x99033,x99034,x99035,x99032,x99031)),f335(f179(x99032),x99035))) % 209.33/209.64 [9913]~P106(f335(x99135,f878(x99135,x99133,x99134,x99132,x99131)))+~P106(f335(f335(f243(f934(x99131,a922)),x99132),x99134))+P106(f335(f335(f243(f934(x99131,a922)),f335(f335(f108(f934(x99131,a922)),x99132),f335(f270(x99131),x99133))),f335(f335(f108(f934(x99131,a922)),x99134),f335(f270(x99131),x99135)))) % 209.33/209.64 [9929]~P25(x99295,x99293,x99294,f250(f934(x99295,a922)))+P106(f335(x99291,x99292))+P106(f335(f335(f337(x99293),f608(x99292,x99291,x99294,x99293,x99295)),f335(f318(x99295,x99293,x99294),f250(f934(x99295,a922))))) % 209.33/209.64 [9953]P34(x99531,x99532,x99533,x99534,x99535)+~E(f335(f196(f928(x99532)),x99535),f335(f196(f928(x99531)),x99534))+P106(f335(f335(f244(a927),f724(x99535,x99534,x99533,x99532,x99531)),f335(f196(f928(x99531)),x99534))) % 209.33/209.64 [9954]P34(x99541,x99542,x99543,x99544,x99545)+~E(f335(f196(f928(x99542)),x99545),f335(f196(f928(x99541)),x99544))+P106(f335(f335(f244(a927),f759(x99543,x99545,x99542,x99544,x99541)),f335(f196(f928(x99541)),x99544))) % 209.33/209.64 [9985]P106(f335(f335(f337(x99851),f878(x99852,x99853,x99854,x99855,x99851)),x99855))+~P106(f335(f335(f243(f934(x99851,a922)),x99855),x99854))+P106(f335(f335(f243(f934(x99851,a922)),f335(f335(f108(f934(x99851,a922)),x99855),f335(f270(x99851),x99853))),f335(f335(f108(f934(x99851,a922)),x99854),f335(f270(x99851),x99852)))) % 209.33/209.64 [10028]~P5(x100281)+~P106(f335(f335(f243(x100281),x100282),f335(x100285,f652(x100285,x100284,x100283,x100282,x100281))))+P106(f335(f335(f243(x100281),x100282),f335(f335(f45(x100283,x100281),x100284),x100285))) % 209.33/209.64 [10066]~P71(x100661)+~P106(f335(f66(x100662),x100665))+E(f335(f335(f335(f70(x100661,x100662,f87(x100661)),f335(f335(f18(x100662,x100661,x100661),f335(f335(f8(x100661,f934(x100661,x100661),x100662),f87(x100661)),x100663)),x100664)),f84(x100661)),x100665),f335(f335(f87(x100661),f335(f335(f335(f70(x100661,x100662,f87(x100661)),x100663),f84(x100661)),x100665)),f335(f335(f335(f70(x100661,x100662,f87(x100661)),x100664),f84(x100661)),x100665))) % 209.33/209.64 [10122]~P106(f335(f335(f337(f933(f934(x101221,a922),f934(x101221,a922))),f335(f335(f260(f934(x101221,a922),f934(x101221,a922)),x101225),x101224)),f326(x101221,x101223)))+~P106(f335(f335(f337(x101221),x101222),x101225))+P106(f335(f335(f337(f933(x101221,x101221)),f335(f335(f260(x101221,x101221),x101222),f611(x101223,x101224,x101225,x101221,x101222))),x101223)) % 209.33/209.64 [10263]~P106(f335(f335(f337(f933(f928(x102631),f928(x102631))),f335(f335(f260(f928(x102631),f928(x102631)),f335(f335(f141(x102631),x102635),x102632)),f335(f335(f141(x102631),x102635),x102633))),f154(x102631,x102634)))+P106(f335(f335(f337(f933(f928(x102631),f928(x102631))),f335(f335(f260(f928(x102631),f928(x102631)),x102632),x102633)),f154(x102631,x102634)))+P106(f335(f335(f337(f933(x102631,x102631)),f335(f335(f260(x102631,x102631),f712(x102634,x102633,x102632,x102635,x102631)),f712(x102634,x102633,x102632,x102635,x102631))),x102634)) % 209.33/209.64 [7475]~E(x74753,x74755)+E(f335(f335(f171(x74751),f335(f335(f166(x74751,x74752),x74753),x74754)),x74755),x74754)+~P106(f335(f335(f244(a927),x74753),f335(f196(f928(x74751)),x74752))) % 209.33/209.64 [7593]~E(f335(f335(f141(x75931),x75932),x75934),f335(f335(f141(x75931),x75933),x75935))+E(f335(f335(f182(x75931),f335(f196(f928(x75931)),x75932)),x75933),x75932)+P106(f335(f335(f243(a927),f335(f196(f928(x75931)),x75933)),f335(f196(f928(x75931)),x75932))) % 209.33/209.64 [8077]~E(f335(f335(f141(x80771),x80772),x80774),f335(f335(f141(x80771),x80773),x80775))+E(f335(f335(f182(x80771),f335(f196(f928(x80771)),x80772)),x80773),x80772)+~P106(f335(f335(f243(a927),f335(f196(f928(x80771)),x80772)),f335(f196(f928(x80771)),x80773))) % 209.33/209.64 [8101]~P106(f335(f66(x81011),f335(x81014,x81015)))+~P106(f335(f335(f337(x81012),x81015),x81013))+P106(f335(f66(x81011),f335(f335(f45(x81012,f934(x81011,a922)),x81013),x81014))) % 209.33/209.64 [8276]~P53(x82761,x82763,x82765)+~P53(x82761,x82762,x82764)+P53(x82761,f335(f335(f108(f934(x82761,a922)),x82762),x82763),f335(f335(f108(f934(f933(x82761,x82761),a922)),x82764),x82765)) % 209.33/209.64 [8277]~P53(x82771,x82773,x82775)+~P53(x82771,x82772,x82774)+P53(x82771,f335(f335(f117(f934(x82771,a922)),x82772),x82773),f335(f335(f117(f934(f933(x82771,x82771),a922)),x82774),x82775)) % 209.33/209.64 [8628]E(f335(f335(f260(x86281,x86282),f335(f335(f171(x86281),x86283),x86284)),f335(f335(f171(x86282),x86285),x86284)),f335(f335(f171(f933(x86281,x86282)),f335(f335(f188(x86281,x86282),x86283),x86285)),x86284))+~P106(f335(f335(f244(a927),x86284),f335(f196(f928(x86281)),x86283)))+~P106(f335(f335(f244(a927),x86284),f335(f196(f928(x86282)),x86285))) % 209.33/209.64 [8781]~P53(x87811,x87813,x87814)+P106(f335(f335(f337(x87811),x87812),x87813))+~P106(f335(f335(f337(f933(x87811,x87811)),f335(f335(f260(x87811,x87811),x87815),x87812)),x87814)) % 209.33/209.64 [8782]~P53(x87821,x87823,x87824)+P106(f335(f335(f337(x87821),x87822),x87823))+~P106(f335(f335(f337(f933(x87821,x87821)),f335(f335(f260(x87821,x87821),x87822),x87825)),x87824)) % 209.33/209.64 [8783]~P8(x87831,x87833,x87834)+P106(f335(f335(f337(x87831),x87832),x87833))+~P106(f335(f335(f337(f933(x87831,x87831)),f335(f335(f260(x87831,x87831),x87835),x87832)),x87834)) % 209.33/209.64 [8784]~P8(x87841,x87843,x87844)+P106(f335(f335(f337(x87841),x87842),x87843))+~P106(f335(f335(f337(f933(x87841,x87841)),f335(f335(f260(x87841,x87841),x87842),x87845)),x87844)) % 209.33/209.64 [9065]~P8(x90651,x90655,x90652)+E(f335(f293(x90651,x90651,x90652),f335(f335(f317(x90651),x90653),f195(f934(x90651,a922)))),f335(f293(x90651,x90651,x90652),f335(f335(f317(x90651),x90654),f195(f934(x90651,a922)))))+~P106(f335(f335(f337(f933(x90651,x90651)),f335(f335(f260(x90651,x90651),x90653),x90654)),x90652)) % 209.33/209.64 [9253]P106(f335(x92531,x92532))+~P106(f335(f335(f337(x92533),x92532),x92535))+P106(f335(f335(f337(x92533),f885(x92531,x92534,x92535,x92533)),f335(f335(f117(f934(x92533,a922)),x92535),x92534))) % 209.33/209.64 [9254]P106(f335(x92541,x92542))+~P106(f335(f335(f337(x92543),x92542),x92544))+P106(f335(f335(f337(x92543),f885(x92541,x92544,x92545,x92543)),f335(f335(f117(f934(x92543,a922)),x92545),x92544))) % 209.33/209.64 [9262]~P106(f335(x92622,x92625))+~P106(f335(f335(f337(x92621),x92625),x92624))+P106(f335(f335(f337(x92621),f882(x92622,x92623,x92624,x92621)),f335(f335(f117(f934(x92621,a922)),x92624),x92623))) % 209.33/209.64 [9263]~P106(f335(x92632,x92635))+~P106(f335(f335(f337(x92631),x92635),x92633))+P106(f335(f335(f337(x92631),f882(x92632,x92633,x92634,x92631)),f335(f335(f117(f934(x92631,a922)),x92634),x92633))) % 209.33/209.64 [9278]~P106(f335(f335(f243(f934(x92781,a922)),x92785),x92783))+~P106(f335(f335(f243(f934(x92781,a922)),x92782),x92784))+P106(f335(f335(f243(f934(x92781,a922)),f335(f335(f23(f934(x92781,a922)),x92782),x92783)),f335(f335(f23(f934(x92781,a922)),x92784),x92785))) % 209.33/209.64 [9279]~P106(f335(f335(f243(f934(x92791,a922)),x92793),x92795))+~P106(f335(f335(f243(f934(x92791,a922)),x92792),x92794))+P106(f335(f335(f243(f934(x92791,a922)),f335(f335(f108(f934(x92791,a922)),x92792),x92793)),f335(f335(f108(f934(x92791,a922)),x92794),x92795))) % 209.33/209.64 [9280]~P106(f335(f335(f243(f934(x92801,a922)),x92803),x92805))+~P106(f335(f335(f243(f934(x92801,a922)),x92802),x92804))+P106(f335(f335(f243(f934(x92801,a922)),f335(f335(f117(f934(x92801,a922)),x92802),x92803)),f335(f335(f117(f934(x92801,a922)),x92804),x92805))) % 209.33/209.64 [9375]P106(f335(f335(f337(f933(x93751,x93751)),f335(f335(f260(x93751,x93751),x93752),x93753)),f329(x93751,x93754,x93755)))+~P106(f335(f335(f243(a927),f335(x93754,x93752)),f335(x93754,x93753)))+~P106(f335(f335(f337(f933(x93751,x93751)),f335(f335(f260(x93751,x93751),x93752),x93753)),x93755)) % 209.33/209.64 [9557]P106(f335(f335(f337(f933(x95571,x95571)),f335(f335(f260(x95571,x95571),x95572),x95573)),f315(x95571,x95574)))+~P106(f335(f335(f337(f933(x95571,x95571)),f335(f335(f260(x95571,x95571),x95572),x95575)),f315(x95571,x95574)))+~P106(f335(f335(f337(f933(x95571,x95571)),f335(f335(f260(x95571,x95571),x95575),x95573)),x95574)) % 209.33/209.64 [9558]P106(f335(f335(f337(f933(x95581,x95581)),f335(f335(f260(x95581,x95581),x95582),x95583)),f315(x95581,x95584)))+~P106(f335(f335(f337(f933(x95581,x95581)),f335(f335(f260(x95581,x95581),x95585),x95583)),f315(x95581,x95584)))+~P106(f335(f335(f337(f933(x95581,x95581)),f335(f335(f260(x95581,x95581),x95582),x95585)),x95584)) % 209.33/209.64 [9656]E(x96561,x96562)+E(f335(a119,f621(x96563,x96564,x96561,x96562,x96565)),x96564)+~P106(f335(f335(f337(f933(x96565,x96565)),f335(f335(f260(x96565,x96565),x96562),x96561)),f335(f335(f190(f933(x96565,x96565),a922),x96564),x96563))) % 209.33/209.64 [9657]E(x96571,x96572)+E(f335(a119,f623(x96573,x96574,x96571,x96572,x96575)),x96574)+~P106(f335(f335(f337(f933(x96575,x96575)),f335(f335(f260(x96575,x96575),x96572),x96571)),f335(f335(f190(f933(x96575,x96575),a922),x96574),x96573))) % 209.33/209.64 [9658]E(x96581,f2(a927))+E(f335(a119,f621(x96582,x96581,x96583,x96584,x96585)),x96581)+~P106(f335(f335(f337(f933(x96585,x96585)),f335(f335(f260(x96585,x96585),x96584),x96583)),f335(f335(f190(f933(x96585,x96585),a922),x96581),x96582))) % 209.33/209.64 [9659]E(x96591,f2(a927))+E(f335(a119,f623(x96592,x96591,x96593,x96594,x96595)),x96591)+~P106(f335(f335(f337(f933(x96595,x96595)),f335(f335(f260(x96595,x96595),x96594),x96593)),f335(f335(f190(f933(x96595,x96595),a922),x96591),x96592))) % 209.33/209.64 [9680]P106(f335(f335(f337(f933(x96801,x96801)),f335(f335(f260(x96801,x96801),x96802),x96803)),f335(f335(f297(x96801,x96801,x96801),x96804),f315(x96801,x96804))))+~P106(f335(f335(f337(f933(x96801,x96801)),f335(f335(f260(x96801,x96801),x96802),x96805)),x96804))+~P106(f335(f335(f337(f933(x96801,x96801)),f335(f335(f260(x96801,x96801),x96805),x96803)),x96804)) % 209.33/209.64 [9687]~P106(f335(f335(f337(f933(x96871,x96871)),f335(f335(f260(x96871,x96871),x96872),x96875)),f315(x96871,x96874)))+P106(f335(f335(f337(f933(x96871,x96871)),f335(f335(f260(x96871,x96871),x96872),x96873)),f335(f335(f297(x96871,x96871,x96871),x96874),f315(x96871,x96874))))+~P106(f335(f335(f337(f933(x96871,x96871)),f335(f335(f260(x96871,x96871),x96875),x96873)),x96874)) % 209.33/209.64 [9721]~P8(x97211,x97215,x97212)+~P106(f335(f335(f337(f933(x97211,x97211)),f335(f335(f260(x97211,x97211),x97213),x97214)),x97212))+P106(f335(f335(f243(f934(x97211,a922)),f335(f293(x97211,x97211,x97212),f335(f335(f317(x97211),x97213),f195(f934(x97211,a922))))),f335(f293(x97211,x97211,x97212),f335(f335(f317(x97211),x97214),f195(f934(x97211,a922)))))) % 209.33/209.64 [9779]P106(f335(f335(f337(f933(x97791,x97791)),f335(f335(f260(x97791,x97791),x97792),x97793)),f335(f335(f297(x97791,x97791,x97791),x97794),f315(x97791,x97794))))+~P106(f335(f335(f337(f933(x97791,x97791)),f335(f335(f260(x97791,x97791),x97792),x97795)),f335(f335(f297(x97791,x97791,x97791),x97794),f315(x97791,x97794))))+~P106(f335(f335(f337(f933(x97791,x97791)),f335(f335(f260(x97791,x97791),x97795),x97793)),x97794)) % 209.33/209.64 [9780]P106(f335(f335(f337(f933(x97801,x97801)),f335(f335(f260(x97801,x97801),x97802),x97803)),f335(f335(f297(x97801,x97801,x97801),x97804),f315(x97801,x97804))))+~P106(f335(f335(f337(f933(x97801,x97801)),f335(f335(f260(x97801,x97801),x97805),x97803)),f335(f335(f297(x97801,x97801,x97801),x97804),f315(x97801,x97804))))+~P106(f335(f335(f337(f933(x97801,x97801)),f335(f335(f260(x97801,x97801),x97802),x97805)),x97804)) % 209.33/209.64 [9830]~P106(f335(f71(x98301,x98301,x98304,x98302,x98303),x98305))+P106(f335(f335(f337(x98301),x98302),x98303))+P106(f335(f67(x98301,x98304,f335(f335(f317(x98301),x98302),x98303)),x98305)) % 209.33/209.64 [9868]~E(f335(f318(x98683,x98682,x98685),x98684),x98681)+E(x98681,f195(f934(x98682,a922)))+P106(f335(f335(f243(f934(x98683,a922)),f335(f318(x98682,x98683,f500(x98684,x98683,x98682,x98681)),x98681)),x98684)) % 209.33/209.64 [9916]~P5(x99165)+P106(f335(f335(f337(x99161),f663(x99162,x99163,x99164,x99161,x99165)),x99164))+P106(f335(f335(f243(x99165),f335(f335(f44(x99161,x99165),x99164),x99163)),x99162)) % 209.33/209.64 [9972]P34(x99721,x99722,x99723,x99724,x99725)+~E(f335(f196(f928(x99721)),x99724),f335(f196(f928(x99722)),x99725))+P106(f335(f335(f337(f933(x99721,x99722)),f722(x99725,x99724,x99723,x99722,x99721)),f335(f179(f933(x99721,x99722)),f335(f335(f188(x99721,x99722),x99724),x99725)))) % 209.33/209.64 [9973]P34(x99731,x99732,x99733,x99734,x99735)+~E(f335(f196(f928(x99731)),x99734),f335(f196(f928(x99732)),x99735))+P106(f335(f335(f337(f933(x99731,x99732)),f723(x99733,x99735,x99734,x99732,x99731)),f335(f179(f933(x99731,x99732)),f335(f335(f188(x99731,x99732),x99734),x99735)))) % 209.33/209.64 [10100]E(x101001,x101002)+P106(f335(f335(f337(f933(x101003,x101003)),f335(f335(f260(x101003,x101003),x101001),f624(x101004,x101005,x101002,x101001,x101003))),x101004))+~P106(f335(f335(f337(f933(x101003,x101003)),f335(f335(f260(x101003,x101003),x101001),x101002)),f335(f335(f190(f933(x101003,x101003),a922),x101005),x101004))) % 209.33/209.64 [10101]E(x101011,f2(a927))+P106(f335(f335(f337(f933(x101012,x101012)),f335(f335(f260(x101012,x101012),x101013),f624(x101014,x101011,x101015,x101013,x101012))),x101014))+~P106(f335(f335(f337(f933(x101012,x101012)),f335(f335(f260(x101012,x101012),x101013),x101015)),f335(f335(f190(f933(x101012,x101012),a922),x101011),x101014))) % 209.33/209.64 [10141]~P5(x101411)+~P106(f335(f335(f243(x101411),f335(x101414,f663(x101415,x101414,x101413,x101412,x101411))),x101415))+P106(f335(f335(f243(x101411),f335(f335(f44(x101412,x101411),x101413),x101414)),x101415)) % 209.33/209.64 [10195]E(x101951,x101952)+P106(f335(f335(f337(f933(x101953,x101953)),f335(f335(f260(x101953,x101953),f622(x101954,x101955,x101951,x101952,x101953)),x101951)),x101954))+~P106(f335(f335(f337(f933(x101953,x101953)),f335(f335(f260(x101953,x101953),x101952),x101951)),f335(f335(f190(f933(x101953,x101953),a922),x101955),x101954))) % 209.33/209.64 [10196]E(x101961,f2(a927))+P106(f335(f335(f337(f933(x101962,x101962)),f335(f335(f260(x101962,x101962),f622(x101963,x101961,x101964,x101965,x101962)),x101964)),x101963))+~P106(f335(f335(f337(f933(x101962,x101962)),f335(f335(f260(x101962,x101962),x101965),x101964)),f335(f335(f190(f933(x101962,x101962),a922),x101961),x101963))) % 209.33/209.64 [10200]E(x102001,x102002)+P106(f335(f335(f337(f933(x102003,x102003)),f335(f335(f260(x102003,x102003),x102001),f622(x102004,x102005,x102002,x102001,x102003))),f335(f335(f190(f933(x102003,x102003),a922),f621(x102004,x102005,x102002,x102001,x102003)),x102004)))+~P106(f335(f335(f337(f933(x102003,x102003)),f335(f335(f260(x102003,x102003),x102001),x102002)),f335(f335(f190(f933(x102003,x102003),a922),x102005),x102004))) % 209.33/209.64 [10201]E(x102011,f2(a927))+P106(f335(f335(f337(f933(x102012,x102012)),f335(f335(f260(x102012,x102012),x102013),f622(x102014,x102011,x102015,x102013,x102012))),f335(f335(f190(f933(x102012,x102012),a922),f621(x102014,x102011,x102015,x102013,x102012)),x102014)))+~P106(f335(f335(f337(f933(x102012,x102012)),f335(f335(f260(x102012,x102012),x102013),x102015)),f335(f335(f190(f933(x102012,x102012),a922),x102011),x102014))) % 209.33/209.64 [10254]E(x102541,x102542)+P106(f335(f335(f337(f933(x102543,x102543)),f335(f335(f260(x102543,x102543),f624(x102544,x102545,x102541,x102542,x102543)),x102541)),f335(f335(f190(f933(x102543,x102543),a922),f623(x102544,x102545,x102541,x102542,x102543)),x102544)))+~P106(f335(f335(f337(f933(x102543,x102543)),f335(f335(f260(x102543,x102543),x102542),x102541)),f335(f335(f190(f933(x102543,x102543),a922),x102545),x102544))) % 209.33/209.64 [10255]E(x102551,f2(a927))+P106(f335(f335(f337(f933(x102552,x102552)),f335(f335(f260(x102552,x102552),f624(x102553,x102551,x102554,x102555,x102552)),x102554)),f335(f335(f190(f933(x102552,x102552),a922),f623(x102553,x102551,x102554,x102555,x102552)),x102553)))+~P106(f335(f335(f337(f933(x102552,x102552)),f335(f335(f260(x102552,x102552),x102555),x102554)),f335(f335(f190(f933(x102552,x102552),a922),x102551),x102553))) % 209.33/209.64 [10290]~P75(x102902)+~P106(f335(f66(x102901),x102905))+E(f335(f335(f6(x102901,x102902),f335(f335(f7(x102901,x102902,x102902),f335(f335(f18(x102901,x102902,f934(x102902,x102902)),f335(f335(f8(a922,f934(x102902,f934(x102902,x102902)),x102901),f103(x102902)),f335(f335(f7(x102901,f934(x102901,a922),a922),f337(x102901)),x102903))),x102904)),f2(x102902))),x102905),f335(f335(f6(x102901,x102902),x102904),f335(f335(f108(f934(x102901,a922)),x102905),x102903))) % 209.33/209.64 [8849]~P75(x88491)+~P106(f335(f66(x88494),x88495))+E(f335(f335(f86(x88491),f335(x88492,x88493)),f335(f335(f6(x88494,x88491),x88492),f335(f335(f23(f934(x88494,a922)),x88495),f335(f335(f317(x88494),x88493),f195(f934(x88494,a922)))))),f335(f335(f6(x88494,x88491),x88492),f335(f335(f317(x88494),x88493),x88495))) % 209.33/209.64 [8850]~P71(x88501)+~P106(f335(f66(x88504),x88505))+E(f335(f335(f87(x88501),f335(x88502,x88503)),f335(f335(f9(x88504,x88501),x88502),f335(f335(f23(f934(x88504,a922)),x88505),f335(f335(f317(x88504),x88503),f195(f934(x88504,a922)))))),f335(f335(f9(x88504,x88501),x88502),f335(f335(f317(x88504),x88503),x88505))) % 209.33/209.64 [9186]~P108(x91862)+~P13(x91862,f335(f175(x91862),f335(f335(f161(x91861,x91862),x91864),x91865)))+E(f335(f143(x91861,f335(f335(f8(x91862,a922,x91861),f335(f244(x91862),x91863)),x91864)),x91865),f184(x91861,f335(f335(f8(x91862,a922,x91861),f335(f244(x91862),x91863)),x91864),x91865)) % 209.33/209.64 [9210]~P75(x92101)+E(f335(f335(f86(x92101),f335(f335(f6(a927,x92101),x92102),f311(a927,x92103,x92104))),f335(f335(f6(a927,x92101),x92102),f311(a927,f335(f335(f86(a927),x92104),f84(a927)),f335(f335(f86(a927),x92104),x92105)))),f335(f335(f6(a927,x92101),x92102),f311(a927,x92103,f335(f335(f86(a927),x92104),x92105))))+~P106(f335(f335(f243(a927),x92103),f335(f335(f86(a927),x92104),f84(a927)))) % 209.33/209.64 [9211]~P106(f335(f335(f337(x92111),x92114),x92115))+~P106(f335(f335(f243(f934(x92111,a922)),f335(f179(x92111),x92112)),x92115))+P106(f335(f335(f243(f934(x92111,a922)),f335(f179(x92111),f335(f335(f166(x92111,x92112),x92113),x92114))),x92115)) % 209.33/209.64 [9433]~P5(x94332)+~P106(f335(f66(x94331),x94335))+E(f335(f335(f69(x94331,x94332,f335(f335(f8(x94332,f934(x94332,x94332),x94331),f108(x94332)),x94333)),x94334),x94335),f335(f335(f108(x94332),x94334),f335(f335(f45(x94331,x94332),x94335),x94333))) % 209.33/209.64 [9434]~P5(x94342)+~P106(f335(f66(x94341),x94345))+E(f335(f335(f69(x94341,x94342,f335(f335(f8(x94342,f934(x94342,x94342),x94341),f117(x94342)),x94343)),x94344),x94345),f335(f335(f117(x94342),x94344),f335(f335(f44(x94341,x94342),x94345),x94343))) % 209.33/209.64 [9482]E(f335(x94821,x94822),f335(x94821,x94823))+P106(f335(f335(f244(a927),f335(x94821,x94822)),f335(x94821,x94823)))+~P106(f335(f335(f337(f933(x94824,x94824)),f335(f335(f260(x94824,x94824),x94822),x94823)),f160(x94824,f335(f335(f158(f934(x94824,a927)),x94821),x94825)))) % 209.33/209.64 [9515]~E(f335(x95154,x95152),f335(x95154,x95153))+~P106(f335(f335(f337(f933(x95151,x95151)),f335(f335(f260(x95151,x95151),x95152),x95153)),f160(x95151,x95155)))+P106(f335(f335(f337(f933(x95151,x95151)),f335(f335(f260(x95151,x95151),x95152),x95153)),f160(x95151,f335(f335(f158(f934(x95151,a927)),x95154),x95155)))) % 209.33/209.64 [9535]~P25(x95351,x95352,x95353,x95355)+P25(x95351,x95352,x95353,f335(f335(f317(x95351),x95354),x95355))+P106(f335(f335(f337(x95352),f335(x95353,x95354)),f335(f318(x95351,x95352,x95353),f335(f335(f23(f934(x95351,a922)),x95355),f335(f335(f317(x95351),x95354),f195(f934(x95351,a922))))))) % 209.33/209.64 [9538]P106(f335(x95382,x95385))+~P106(f335(f335(f337(x95381),x95385),f335(f179(x95381),x95383)))+E(f335(f335(f145(x95381),f335(f196(f928(x95381)),f184(x95381,x95382,f335(f335(f141(x95381),x95383),x95384)))),f335(f335(f141(x95381),x95383),x95384)),f335(f335(f141(x95381),f335(f335(f145(x95381),f335(f196(f928(x95381)),f184(x95381,x95382,x95383))),x95383)),x95384)) % 209.33/209.64 [9543]~P106(f335(f335(f337(f933(x95431,x95431)),f335(f335(f260(x95431,x95431),x95432),x95433)),f160(x95431,x95435)))+~P106(f335(f335(f243(a927),f335(x95434,x95432)),f335(x95434,x95433)))+P106(f335(f335(f337(f933(x95431,x95431)),f335(f335(f260(x95431,x95431),x95432),x95433)),f160(x95431,f335(f335(f158(f934(x95431,a927)),x95434),x95435)))) % 209.33/209.64 [9608]P106(f335(f335(f337(f933(x96084,x96084)),f335(f335(f260(x96084,x96084),x96082),x96083)),f160(x96084,x96085)))+P106(f335(f335(f244(a927),f335(x96081,x96082)),f335(x96081,x96083)))+~P106(f335(f335(f337(f933(x96084,x96084)),f335(f335(f260(x96084,x96084),x96082),x96083)),f160(x96084,f335(f335(f158(f934(x96084,a927)),x96081),x96085)))) % 209.33/209.64 [9751]~P106(f335(f335(f337(f933(f928(x97511),f928(x97511))),f335(f335(f260(f928(x97511),f928(x97511)),x97512),x97514)),f165(x97511,x97515)))+~P106(f335(f335(f244(a927),x97513),f335(f196(f928(x97511)),x97512)))+P106(f335(f335(f337(f933(x97511,x97511)),f335(f335(f260(x97511,x97511),f335(f335(f171(x97511),x97512),x97513)),f335(f335(f171(x97511),x97514),x97513))),x97515)) % 209.33/209.64 [9995]E(x99951,f2(a1))+~P106(f335(f54(x99953,x99951),f335(f335(f260(a1,a1),x99954),x99955)))+P106(f335(f54(f335(f335(f87(a1),x99952),x99953),x99951),f335(f335(f260(a1,a1),f335(f335(f86(a1),f335(f335(f87(a1),x99952),x99954)),f335(f335(f41(a1),f335(f335(f87(a1),x99952),x99955)),x99951))),f50(a1,f335(f335(f87(a1),x99952),x99955),x99951)))) % 209.33/209.64 [9996]~P106(f335(f335(f244(a927),f2(a927)),x99963))+~P106(f335(f53(x99962,x99963),f335(f335(f260(a927,a927),x99964),x99965)))+P106(f335(f53(f335(f335(f87(a927),x99961),x99962),x99963),f335(f335(f260(a927,a927),f335(f335(f86(a927),f335(f335(f87(a927),x99961),x99964)),f335(f335(f41(a927),f335(f335(f87(a927),x99961),x99965)),x99963))),f50(a927,f335(f335(f87(a927),x99961),x99965),x99963)))) % 209.33/209.64 [10313]~P75(x103132)+~P106(f335(f66(x103131),x103134))+E(f335(f335(f6(x103131,x103132),x103133),f335(f270(x103131),f335(f335(f18(x103131,a922,a922),f335(f335(f8(a922,f934(a922,a922),x103131),a333),f335(f335(f7(x103131,f934(x103131,a922),a922),f337(x103131)),x103134))),f335(f335(f7(x103131,f934(x103131,a922),a922),f337(x103131)),x103135)))),f335(f335(f6(x103131,x103132),f335(f335(f7(x103131,x103132,x103132),f335(f335(f18(x103131,x103132,f934(x103132,x103132)),f335(f335(f8(a922,f934(x103132,f934(x103132,x103132)),x103131),f103(x103132)),f335(f335(f7(x103131,f934(x103131,a922),a922),f337(x103131)),x103135))),x103133)),f2(x103132))),x103134)) % 209.33/209.64 [8479]~E(f335(f335(f141(x84791),x84792),x84795),f335(f335(f141(x84791),x84793),x84794))+E(f335(f335(f141(x84791),f335(f335(f145(x84791),f335(f196(f928(x84791)),x84792)),x84793)),x84794),x84795)+P106(f335(f335(f243(a927),f335(f196(f928(x84791)),x84793)),f335(f196(f928(x84791)),x84792))) % 209.33/209.64 [8676]~E(f335(f335(f141(x86762),x86763),x86761),f335(f335(f141(x86762),x86764),x86765))+E(x86761,f335(f335(f141(x86762),f335(f335(f145(x86762),f335(f196(f928(x86762)),x86763)),x86764)),x86765))+~P106(f335(f335(f243(a927),f335(f196(f928(x86762)),x86763)),f335(f196(f928(x86762)),x86764))) % 209.33/209.64 [8764]~E(f335(f335(f86(a927),f335(f335(f87(a927),x87643),x87644)),x87641),f335(f335(f86(a927),f335(f335(f87(a927),x87642),x87644)),x87645))+~P106(f335(f335(f243(a927),x87643),x87642))+E(x87641,f335(f335(f86(a927),f335(f335(f87(a927),f335(f335(f23(a927),x87642),x87643)),x87644)),x87645)) % 209.33/209.64 [8765]~E(f335(f335(f86(a927),f335(f335(f87(a927),x87651),x87653)),x87654),f335(f335(f86(a927),f335(f335(f87(a927),x87652),x87653)),x87655))+~P106(f335(f335(f243(a927),x87652),x87651))+E(f335(f335(f86(a927),f335(f335(f87(a927),f335(f335(f23(a927),x87651),x87652)),x87653)),x87654),x87655) % 209.33/209.64 [8933]E(f335(f335(f86(a927),f335(f335(f87(a927),x89331),x89332)),x89333),f335(f335(f86(a927),f335(f335(f87(a927),x89334),x89332)),x89335))+~P106(f335(f335(f243(a927),x89334),x89331))+~E(x89335,f335(f335(f86(a927),f335(f335(f87(a927),f335(f335(f23(a927),x89331),x89334)),x89332)),x89333)) % 209.33/209.64 [8934]E(f335(f335(f86(a927),f335(f335(f87(a927),x89341),x89342)),x89343),f335(f335(f86(a927),f335(f335(f87(a927),x89344),x89342)),x89345))+~P106(f335(f335(f243(a927),x89344),x89341))+~E(f335(f335(f86(a927),f335(f335(f87(a927),f335(f335(f23(a927),x89341),x89344)),x89342)),x89343),x89345) % 209.33/209.64 [9805]~P65(x98052)+~P106(f335(f66(x98051),x98055))+E(f335(f335(f9(x98051,x98052),f335(f335(f18(x98051,x98052,x98052),f335(f335(f8(x98052,f934(x98052,x98052),x98051),f299(x98052)),x98053)),x98054)),x98055),f335(f335(f299(x98052),f335(f335(f9(x98051,x98052),x98053),x98055)),f335(f335(f9(x98051,x98052),x98054),x98055))) % 209.33/209.64 [9936]~E(f626(x99365,x99364,x99363,x99362,x99361),f627(x99365,x99364,x99363,x99362,x99361))+P106(f335(f335(f337(f933(x99361,x99361)),f335(f335(f260(x99361,x99361),x99362),x99363)),f315(x99361,x99364)))+~P106(f335(f335(f337(f933(x99361,x99361)),f335(f335(f260(x99361,x99361),x99362),x99363)),f315(x99361,f335(f335(f117(f934(f933(x99361,x99361),a922)),x99364),x99365)))) % 209.33/209.64 [9937]~E(f637(x99375,x99374,x99373,x99372,x99371),f638(x99375,x99374,x99373,x99372,x99371))+P106(f335(f335(f337(f933(x99371,x99371)),f335(f335(f260(x99371,x99371),x99372),x99373)),f315(x99371,x99374)))+~P106(f335(f335(f337(f933(x99371,x99371)),f335(f335(f260(x99371,x99371),x99372),x99373)),f315(x99371,f335(f335(f117(f934(f933(x99371,x99371),a922)),x99374),x99375)))) % 209.33/209.64 [10131]P106(f335(f335(f337(f933(x101311,x101311)),f335(f335(f260(x101311,x101311),x101312),f638(x101315,x101314,x101313,x101312,x101311))),f315(x101311,x101314)))+P106(f335(f335(f337(f933(x101311,x101311)),f335(f335(f260(x101311,x101311),x101312),x101313)),f315(x101311,x101314)))+~P106(f335(f335(f337(f933(x101311,x101311)),f335(f335(f260(x101311,x101311),x101312),x101313)),f315(x101311,f335(f335(f117(f934(f933(x101311,x101311),a922)),x101314),x101315)))) % 209.33/209.64 [10222]P106(f335(f335(f337(f933(x102221,x102221)),f335(f335(f260(x102221,x102221),f627(x102225,x102224,x102223,x102222,x102221)),x102223)),f315(x102221,x102224)))+P106(f335(f335(f337(f933(x102221,x102221)),f335(f335(f260(x102221,x102221),x102222),x102223)),f315(x102221,x102224)))+~P106(f335(f335(f337(f933(x102221,x102221)),f335(f335(f260(x102221,x102221),x102222),x102223)),f315(x102221,f335(f335(f117(f934(f933(x102221,x102221),a922)),x102224),x102225)))) % 209.33/209.64 [10261]P106(f335(f335(f337(f933(x102611,x102611)),f335(f335(f260(x102611,x102611),x102612),x102613)),f315(x102611,x102614)))+P106(f335(f335(f337(f933(x102611,x102611)),f335(f335(f260(x102611,x102611),f626(x102615,x102614,x102613,x102612,x102611)),f627(x102615,x102614,x102613,x102612,x102611))),x102615))+~P106(f335(f335(f337(f933(x102611,x102611)),f335(f335(f260(x102611,x102611),x102612),x102613)),f315(x102611,f335(f335(f117(f934(f933(x102611,x102611),a922)),x102614),x102615)))) % 209.33/209.64 [10262]P106(f335(f335(f337(f933(x102621,x102621)),f335(f335(f260(x102621,x102621),x102622),x102623)),f315(x102621,x102624)))+P106(f335(f335(f337(f933(x102621,x102621)),f335(f335(f260(x102621,x102621),f638(x102625,x102624,x102623,x102622,x102621)),f637(x102625,x102624,x102623,x102622,x102621))),x102625))+~P106(f335(f335(f337(f933(x102621,x102621)),f335(f335(f260(x102621,x102621),x102622),x102623)),f315(x102621,f335(f335(f117(f934(f933(x102621,x102621),a922)),x102624),x102625)))) % 209.33/209.64 [10411]~P106(f335(f335(f337(f933(f928(x104111),f928(x104111))),f335(f335(f260(f928(x104111),f928(x104111)),x104114),x104115)),f165(x104111,x104112)))+~P106(f335(f335(f337(f933(x104111,x104111)),x104113),f335(f179(f933(x104111,x104111)),f335(f335(f188(x104111,x104111),x104114),x104115))))+P106(f335(f335(f265(x104111,x104111,a922),f335(f335(f7(x104111,f934(f933(x104111,x104111),a922),f934(x104111,a922)),f335(f335(f8(f934(x104111,f934(f934(f933(x104111,x104111),a922),a922)),f934(f934(f933(x104111,x104111),a922),f934(x104111,a922)),x104111),f7(x104111,f934(f933(x104111,x104111),a922),a922)),f335(f335(f8(f934(x104111,f933(x104111,x104111)),f934(x104111,f934(f934(f933(x104111,x104111),a922),a922)),x104111),f335(f8(f933(x104111,x104111),f934(f934(f933(x104111,x104111),a922),a922),x104111),f337(f933(x104111,x104111)))),f260(x104111,x104111)))),x104112)),x104113)) % 209.33/209.64 [9834]~P106(f335(f335(f243(a927),x98343),x98342))+~P106(f335(f335(f243(a927),f335(f335(f86(a927),f335(f335(f87(a927),x98343),x98344)),x98341)),f335(f335(f86(a927),f335(f335(f87(a927),x98342),x98344)),x98345)))+P106(f335(f335(f243(a927),x98341),f335(f335(f86(a927),f335(f335(f87(a927),f335(f335(f23(a927),x98342),x98343)),x98344)),x98345))) % 209.33/209.64 [9835]~P106(f335(f335(f243(a927),x98353),x98352))+~P106(f335(f335(f244(a927),f335(f335(f86(a927),f335(f335(f87(a927),x98353),x98354)),x98351)),f335(f335(f86(a927),f335(f335(f87(a927),x98352),x98354)),x98355)))+P106(f335(f335(f244(a927),x98351),f335(f335(f86(a927),f335(f335(f87(a927),f335(f335(f23(a927),x98352),x98353)),x98354)),x98355))) % 209.33/209.64 [9852]~P106(f335(f335(f243(a927),x98521),x98524))+P106(f335(f335(f243(a927),f335(f335(f86(a927),f335(f335(f87(a927),x98521),x98522)),x98523)),f335(f335(f86(a927),f335(f335(f87(a927),x98524),x98522)),x98525)))+~P106(f335(f335(f243(a927),x98523),f335(f335(f86(a927),f335(f335(f87(a927),f335(f335(f23(a927),x98524),x98521)),x98522)),x98525))) % 209.33/209.64 [9853]~P106(f335(f335(f243(a927),x98531),x98534))+P106(f335(f335(f244(a927),f335(f335(f86(a927),f335(f335(f87(a927),x98531),x98532)),x98533)),f335(f335(f86(a927),f335(f335(f87(a927),x98534),x98532)),x98535)))+~P106(f335(f335(f244(a927),x98533),f335(f335(f86(a927),f335(f335(f87(a927),f335(f335(f23(a927),x98534),x98531)),x98532)),x98535))) % 209.33/209.64 [9970]~P106(f335(f335(f243(a927),x99702),x99701))+~P106(f335(f335(f243(a927),f335(f335(f86(a927),f335(f335(f87(a927),x99701),x99703)),x99704)),f335(f335(f86(a927),f335(f335(f87(a927),x99702),x99703)),x99705)))+P106(f335(f335(f243(a927),f335(f335(f86(a927),f335(f335(f87(a927),f335(f335(f23(a927),x99701),x99702)),x99703)),x99704)),x99705)) % 209.33/209.64 [9971]~P106(f335(f335(f243(a927),x99712),x99711))+~P106(f335(f335(f244(a927),f335(f335(f86(a927),f335(f335(f87(a927),x99711),x99713)),x99714)),f335(f335(f86(a927),f335(f335(f87(a927),x99712),x99713)),x99715)))+P106(f335(f335(f244(a927),f335(f335(f86(a927),f335(f335(f87(a927),f335(f335(f23(a927),x99711),x99712)),x99713)),x99714)),x99715)) % 209.33/209.64 [10014]~P106(f335(f335(f243(a927),x100144),x100141))+P106(f335(f335(f243(a927),f335(f335(f86(a927),f335(f335(f87(a927),x100141),x100142)),x100143)),f335(f335(f86(a927),f335(f335(f87(a927),x100144),x100142)),x100145)))+~P106(f335(f335(f243(a927),f335(f335(f86(a927),f335(f335(f87(a927),f335(f335(f23(a927),x100141),x100144)),x100142)),x100143)),x100145)) % 209.33/209.64 [10015]~P106(f335(f335(f243(a927),x100154),x100151))+P106(f335(f335(f244(a927),f335(f335(f86(a927),f335(f335(f87(a927),x100151),x100152)),x100153)),f335(f335(f86(a927),f335(f335(f87(a927),x100154),x100152)),x100155)))+~P106(f335(f335(f244(a927),f335(f335(f86(a927),f335(f335(f87(a927),f335(f335(f23(a927),x100151),x100154)),x100152)),x100153)),x100155)) % 209.33/209.64 [10249]~P11(x102491,x102492,x102495,x102493)+~P106(f335(f335(f337(f933(x102491,x102491)),x102494),x102495))+P106(f335(f335(f265(x102491,x102491,a922),f335(f335(f7(x102491,f934(x102491,x102492),f934(x102491,a922)),f335(f335(f8(f934(x102492,a922),f934(f934(x102491,x102492),f934(x102491,a922)),x102491),f8(x102492,a922,x102491)),f335(f335(f8(x102492,f934(x102492,a922),x102491),a332),x102493))),x102493)),x102494)) % 209.33/209.64 [8640]~P19(x86406,x86401,x86402,x86404)+E(f335(f78(x86401,x86401,x86401,f335(x86402,x86403)),f335(x86404,x86405)),f335(f78(x86401,x86401,x86401,f335(x86404,x86405)),f335(x86402,x86403)))+~P106(f335(f66(x86406),x86405)) % 209.33/209.64 [9077]~P25(x90771,x90773,x90775,x90776)+~P25(x90773,x90772,x90774,f335(f318(x90771,x90773,x90775),x90776))+P25(x90771,x90772,f335(f78(x90773,x90772,x90771,x90774),x90775),x90776) % 209.33/209.64 [9640]~P106(f335(f335(x96404,x96402),x96406))+~P106(f335(f335(x96403,x96405),x96402))+P106(f335(f335(f337(x96401),x96402),f305(x96401,x96403,x96404,x96405,x96406))) % 209.33/209.64 [9641]~P106(f335(f335(x96413,x96412),x96416))+~P106(f335(f335(x96414,x96415),x96412))+P106(f335(f335(f337(x96411),x96412),f308(x96411,x96413,x96414,x96415,x96416))) % 209.33/209.64 [9752]E(x97521,x97522)+E(x97523,x97524)+~P106(f335(f335(f337(f933(f928(x97525),f928(x97525))),f335(f335(f260(f928(x97525),f928(x97525)),f335(f335(f158(x97525),x97523),x97521)),f335(f335(f158(x97525),x97524),x97522))),f164(x97525,x97526))) % 209.33/209.64 [9761]~E(x97612,x97614)+P106(f335(f335(f337(f933(f928(x97611),f928(x97611))),f335(f335(f260(f928(x97611),f928(x97611)),f335(f335(f158(x97611),x97612),x97613)),f335(f335(f158(x97611),x97614),x97615))),f152(x97611,x97616)))+~P106(f335(f335(f337(f933(f928(x97611),f928(x97611))),f335(f335(f260(f928(x97611),f928(x97611)),x97613),x97615)),f152(x97611,x97616))) % 209.33/209.64 [9762]~E(x97622,x97624)+P106(f335(f335(f337(f933(f928(x97621),f928(x97621))),f335(f335(f260(f928(x97621),f928(x97621)),f335(f335(f158(x97621),x97622),x97623)),f335(f335(f158(x97621),x97624),x97625))),f154(x97621,x97626)))+~P106(f335(f335(f337(f933(f928(x97621),f928(x97621))),f335(f335(f260(f928(x97621),f928(x97621)),x97623),x97625)),f154(x97621,x97626))) % 209.33/209.64 [9763]~E(x97632,x97634)+P106(f335(f335(f337(f933(f928(x97631),f928(x97631))),f335(f335(f260(f928(x97631),f928(x97631)),f335(f335(f158(x97631),x97632),x97633)),f335(f335(f158(x97631),x97634),x97635))),f164(x97631,x97636)))+~P106(f335(f335(f337(f933(f928(x97631),f928(x97631))),f335(f335(f260(f928(x97631),f928(x97631)),x97633),x97635)),f164(x97631,x97636))) % 209.33/209.64 [9764]~E(x97642,x97644)+P106(f335(f335(f337(f933(f928(x97641),f928(x97641))),f335(f335(f260(f928(x97641),f928(x97641)),f335(f335(f141(x97641),x97642),x97643)),f335(f335(f141(x97641),x97644),x97645))),f164(x97641,x97646)))+~P106(f335(f335(f337(f933(f928(x97641),f928(x97641))),f335(f335(f260(f928(x97641),f928(x97641)),x97643),x97645)),f164(x97641,x97646))) % 209.33/209.64 [9765]~E(x97653,x97655)+P106(f335(f335(f337(f933(f928(x97651),f928(x97651))),f335(f335(f260(f928(x97651),f928(x97651)),f335(f335(f141(x97651),x97652),x97653)),f335(f335(f141(x97651),x97654),x97655))),f164(x97651,x97656)))+~P106(f335(f335(f337(f933(f928(x97651),f928(x97651))),f335(f335(f260(f928(x97651),f928(x97651)),x97652),x97654)),f164(x97651,x97656))) % 209.33/209.64 [9822]E(x98221,x98222)+P106(f335(f335(f337(f933(f928(x98223),f928(x98223))),f335(f335(f260(f928(x98223),f928(x98223)),x98221),x98222)),f164(x98223,x98224)))+~P106(f335(f335(f337(f933(f928(x98223),f928(x98223))),f335(f335(f260(f928(x98223),f928(x98223)),f335(f335(f158(x98223),x98225),x98221)),f335(f335(f158(x98223),x98226),x98222))),f164(x98223,x98224))) % 209.33/209.64 [9974]~E(x99743,x99745)+P106(f335(f335(f337(f933(f928(x99741),f928(x99741))),f335(f335(f260(f928(x99741),f928(x99741)),f335(f335(f141(x99741),x99742),f335(f335(f158(x99741),x99743),f120(x99741)))),f335(f335(f141(x99741),x99744),f335(f335(f158(x99741),x99745),f120(x99741))))),f164(x99741,x99746)))+~P106(f335(f335(f337(f933(f928(x99741),f928(x99741))),f335(f335(f260(f928(x99741),f928(x99741)),x99742),x99744)),f164(x99741,x99746))) % 209.33/209.64 [10018]E(x100181,x100182)+E(x100183,x100184)+~P106(f335(f335(f337(f933(f928(x100185),f928(x100185))),f335(f335(f260(f928(x100185),f928(x100185)),f335(f335(f141(x100185),x100183),f335(f335(f158(x100185),x100181),f120(x100185)))),f335(f335(f141(x100185),x100184),f335(f335(f158(x100185),x100182),f120(x100185))))),f164(x100185,x100186))) % 209.33/209.64 [10044]E(x100441,x100442)+~P106(f335(f335(f337(f933(f928(x100443),f928(x100443))),f335(f335(f260(f928(x100443),f928(x100443)),f335(f335(f141(x100443),x100441),f335(f335(f158(x100443),x100445),f120(x100443)))),f335(f335(f141(x100443),x100442),f335(f335(f158(x100443),x100446),f120(x100443))))),f164(x100443,x100444)))+P106(f335(f335(f337(f933(f928(x100443),f928(x100443))),f335(f335(f260(f928(x100443),f928(x100443)),x100441),x100442)),f164(x100443,x100444))) % 209.33/209.64 [10083]~P106(f335(f335(f337(f933(f934(x100831,a922),f934(x100831,a922))),f335(f335(f260(f934(x100831,a922),f934(x100831,a922)),x100832),x100834)),f326(x100831,x100836)))+~P106(f335(f335(f337(f933(f934(x100831,a922),f934(x100831,a922))),f335(f335(f260(f934(x100831,a922),f934(x100831,a922)),x100833),x100835)),f326(x100831,x100836)))+P106(f335(f335(f337(f933(f934(x100831,a922),f934(x100831,a922))),f335(f335(f260(f934(x100831,a922),f934(x100831,a922)),f335(f335(f117(f934(x100831,a922)),x100832),x100833)),f335(f335(f117(f934(x100831,a922)),x100834),x100835))),f326(x100831,x100836))) % 209.33/209.64 [5906]~E(f335(f335(f141(x59061),x59066),x59063),x59065)+E(f335(f335(f141(x59061),x59062),x59063),f335(f335(f158(x59061),x59064),x59065))+~E(x59062,f335(f335(f158(x59061),x59064),x59066)) % 209.33/209.64 [5907]~E(f335(f335(f141(x59071),x59076),x59073),x59075)+E(f335(f335(f141(x59071),x59072),x59073),f335(f335(f141(x59071),x59074),x59075))+~E(x59072,f335(f335(f141(x59071),x59074),x59076)) % 209.33/209.64 [5909]E(f335(f335(f141(x59091),x59092),x59093),f335(f335(f158(x59091),x59094),x59095))+~E(f335(f335(f158(x59091),x59094),x59096),x59092)+~E(x59095,f335(f335(f141(x59091),x59096),x59093)) % 209.33/209.64 [5911]~E(f335(f335(f141(x59111),x59112),x59116),x59114)+E(f335(f335(f141(x59111),x59112),x59113),f335(f335(f141(x59111),x59114),x59115))+~E(x59113,f335(f335(f141(x59111),x59116),x59115)) % 209.33/209.64 [7043]E(f335(x70431,x70432),f335(x70433,x70432))+~E(f335(f335(f161(x70434,x70435),x70431),x70436),f335(f335(f161(x70434,x70435),x70433),x70436))+~P106(f335(f335(f337(x70434),x70432),f335(f179(x70434),x70436))) % 209.33/209.64 [7422]~P19(x74224,x74225,x74226,x74221)+E(f335(f335(x74221,x74222),x74223),f335(f335(f69(x74224,x74225,x74226),x74223),x74222))+~P106(f335(f66(x74224),x74222)) % 209.33/209.64 [7493]~E(x74932,f335(x74934,x74936))+~P106(f335(f335(f337(x74933),x74936),x74935))+P106(f335(f335(f337(x74931),x74932),f335(f318(x74933,x74931,x74934),x74935))) % 209.33/209.64 [7494]~E(f335(x74944,x74942),x74946)+~P106(f335(f335(f337(x74943),x74946),x74945))+P106(f335(f335(f337(x74941),x74942),f335(f319(x74941,x74943,x74944),x74945))) % 209.33/209.64 [7938]~P32(x79381,x79382,x79384,x79386)+P32(x79381,x79382,f335(f335(f158(x79381),x79383),x79384),f335(f335(f158(x79381),x79385),x79386))+~P106(f335(f335(x79382,x79383),x79385)) % 209.33/209.64 [8943]~P57(x89434,x89435,x89431,x89432,x89436)+E(f335(x89431,f335(x89432,x89433)),x89433)+~P106(f335(f335(f337(x89435),x89433),x89436)) % 209.33/209.64 [9442]~P26(x94422,x94421,x94425,x94424,x94423)+E(f335(f97(x94421,x94422,x94423,f97(x94422,x94421,x94424,x94425)),x94426),f335(x94425,x94426))+~P106(f335(f335(f337(x94422),x94426),x94424)) % 209.33/209.64 [9453]~P25(x94531,x94532,x94533,x94536)+P25(x94531,x94532,f80(x94531,x94532,x94533,x94534,x94535),x94536)+P106(f335(f335(f337(x94532),x94535),f335(f318(x94531,x94532,x94533),x94536))) % 209.33/209.64 [9754]E(x97541,x97542)+E(f335(f196(f928(x97543)),x97544),f335(f196(f928(x97543)),x97545))+~P106(f335(f335(f337(f933(f928(x97543),f928(x97543))),f335(f335(f260(f928(x97543),f928(x97543)),f335(f335(f158(x97543),x97541),x97544)),f335(f335(f158(x97543),x97542),x97545))),f152(x97543,x97546))) % 209.33/209.64 [9817]~P16(x98171,x98172,x98173)+E(f335(f335(f69(x98171,x98172,x98173),x98174),x98175),x98176)+~P106(f335(f71(x98171,x98172,x98173,x98174,x98175),x98176)) % 209.33/209.64 [9825]E(f335(f196(f928(x98251)),x98252),f335(f196(f928(x98251)),x98253))+P106(f335(f335(f337(f933(f928(x98251),f928(x98251))),f335(f335(f260(f928(x98251),f928(x98251)),x98252),x98253)),f152(x98251,x98254)))+~P106(f335(f335(f337(f933(f928(x98251),f928(x98251))),f335(f335(f260(f928(x98251),f928(x98251)),f335(f335(f158(x98251),x98255),x98252)),f335(f335(f158(x98251),x98256),x98253))),f152(x98251,x98254))) % 209.33/209.64 [9846]~P106(f335(f335(f337(f933(x98461,x98461)),f335(f335(f260(x98461,x98461),x98462),x98464)),f315(x98461,x98466)))+P106(f335(f335(f337(f933(f928(x98461),f928(x98461))),f335(f335(f260(f928(x98461),f928(x98461)),f335(f335(f158(x98461),x98462),x98463)),f335(f335(f158(x98461),x98464),x98465))),f315(f928(x98461),f164(x98461,x98466))))+~P106(f335(f335(f337(f933(f928(x98461),f928(x98461))),f335(f335(f260(f928(x98461),f928(x98461)),x98463),x98465)),f315(f928(x98461),f164(x98461,x98466)))) % 209.33/209.64 [10024]~P106(f335(x100242,x100246))+~E(f335(f143(x100241,x100242),x100243),f335(f335(f158(x100241),x100244),x100245))+~P106(f335(f335(f337(x100241),x100246),f335(f179(x100241),f765(x100245,x100244,x100243,x100242,x100241)))) % 209.33/209.64 [10025]~P106(f335(x100254,x100256))+~E(f335(f335(f158(x100251),x100252),x100253),f335(f143(x100251,x100254),x100255))+~P106(f335(f335(f337(x100251),x100256),f335(f179(x100251),f769(x100255,x100254,x100253,x100252,x100251)))) % 209.33/209.64 [10348]~P75(x103482)+E(f335(f335(f6(x103481,x103482),f335(f335(f8(f934(x103483,a922),x103482,x103481),f335(f6(x103483,x103482),x103484)),f335(f335(f8(f934(x103483,a922),f934(x103483,a922),x103481),f270(x103483)),f335(f335(f8(f934(x103483,a922),f934(x103483,a922),x103481),f335(f18(x103483,a922,a922),f335(f335(f8(a922,f934(a922,a922),x103483),a333),f335(f335(f7(x103483,f934(x103483,a922),a922),f337(x103483)),x103485)))),f335(f7(x103483,x103481,a922),f335(f335(f8(x103481,f934(x103481,a922),x103483),a332),x103486)))))),f335(f318(x103483,x103481,x103486),x103485)),f335(f335(f6(x103483,x103482),x103484),x103485))+~P106(f335(f66(x103483),x103485)) % 209.33/209.64 [7099]~P108(x70993)+P106(f335(x70992,x70995))+E(f335(f143(x70991,x70992),f335(f335(f155(x70991,x70993,x70994),x70995),x70996)),f335(f143(x70991,x70992),x70996)) % 209.33/209.64 [7101]P106(f335(x71011,x71012))+~E(f173(x71013,x71011,x71014),f335(f335(f260(f928(x71013),f928(x71013)),x71015),x71016))+~P106(f335(f335(f337(x71013),x71012),f335(f179(x71013),x71015))) % 209.33/209.64 [7143]~P106(f335(x71432,x71436))+~E(f173(x71431,x71432,x71433),f335(f335(f260(f928(x71431),f928(x71431)),x71434),x71435))+~P106(f335(f335(f337(x71431),x71436),f335(f179(x71431),x71435))) % 209.33/209.64 [7804]~P14(x78041,x78042,x78043)+~P106(f335(f66(x78041),x78046))+E(f335(f335(f69(x78041,x78042,x78043),x78044),f335(f335(f317(x78041),x78045),x78046)),f335(f335(f69(x78041,x78042,x78043),f335(f335(x78043,x78045),x78044)),x78046)) % 209.33/209.64 [7855]~P108(x78552)+~P106(f335(f335(f243(x78552),f335(x78553,x78554)),f335(x78553,x78555)))+E(f335(f335(f155(x78551,x78552,x78553),x78554),f335(f335(f158(x78551),x78555),x78556)),f335(f335(f158(x78551),x78554),f335(f335(f158(x78551),x78555),x78556))) % 209.33/209.64 [7966]E(x79661,x79662)+~E(f335(f335(f262(x79663,x79664),x79661),f335(f16(f934(x79664,a922),x79663),x79665)),f335(f335(f262(x79663,x79664),x79662),f335(f16(f934(x79664,a922),x79663),x79665)))+~P106(f335(f335(f337(x79664),x79666),x79665)) % 209.33/209.64 [8031]~P14(x80311,x80312,x80313)+~P106(f335(f66(x80311),x80316))+E(f335(f335(f69(x80311,x80312,x80313),x80314),f335(f335(f317(x80311),x80315),x80316)),f335(f335(x80313,x80315),f335(f335(f69(x80311,x80312,x80313),x80314),x80316))) % 209.33/209.64 [8146]~P16(x81461,x81462,x81463)+~P106(f335(f66(x81461),x81466))+E(f335(f335(f69(x81461,x81462,x81463),f335(f335(x81463,x81464),x81465)),x81466),f335(f335(x81463,x81464),f335(f335(f69(x81461,x81462,x81463),x81465),x81466))) % 209.33/209.64 [8215]~P20(x82152,x82155,x82156,x82151)+~P106(f335(f66(x82152),x82154))+E(f335(x82151,f335(f335(f317(x82152),x82153),x82154)),f335(f78(x82155,x82155,x82155,f335(x82151,x82154)),f335(x82156,x82153))) % 209.33/209.64 [8247]~P108(x82472)+P106(f335(f335(f243(x82472),f335(x82473,x82474)),f335(x82473,x82475)))+E(f335(f335(f155(x82471,x82472,x82473),x82474),f335(f335(f158(x82471),x82475),x82476)),f335(f335(f158(x82471),x82475),f335(f335(f155(x82471,x82472,x82473),x82474),x82476))) % 209.33/209.64 [8385]~E(f335(f196(f928(x83851)),x83855),f335(f196(f928(x83852)),x83856))+~E(f335(f196(f928(x83851)),x83853),f335(f196(f928(x83852)),x83854))+E(f335(f335(f141(f933(x83851,x83852)),f335(f335(f188(x83851,x83852),x83853),x83854)),f335(f335(f188(x83851,x83852),x83855),x83856)),f335(f335(f188(x83851,x83852),f335(f335(f141(x83851),x83853),x83855)),f335(f335(f141(x83852),x83854),x83856))) % 209.33/209.64 [8497]~E(x84972,f335(f318(x84973,x84971,x84974),x84976))+P106(f335(f335(f243(f934(x84971,a922)),x84972),f335(f318(x84973,x84971,x84974),x84975)))+~P106(f335(f335(f243(f934(x84973,a922)),x84976),x84975)) % 209.33/209.64 [8599]~P108(x85995)+E(f335(x85991,x85992),f335(x85991,x85993))+E(f335(f335(f155(x85994,x85995,x85991),x85992),f335(f335(f155(x85994,x85995,x85991),x85993),x85996)),f335(f335(f155(x85994,x85995,x85991),x85993),f335(f335(f155(x85994,x85995,x85991),x85992),x85996))) % 209.33/209.64 [8773]~P106(f335(f335(f337(x87732),x87734),f335(x87736,x87733)))+~P106(f335(f335(f337(x87731),x87733),x87735))+P106(f335(f335(f337(f933(x87731,x87732)),f335(f335(f260(x87731,x87732),x87733),x87734)),f335(f335(f262(x87731,x87732),x87735),x87736))) % 209.33/209.64 [9251]~P75(x92512)+~P25(x92514,x92511,x92515,x92516)+E(f335(f335(f6(x92511,x92512),x92513),f335(f318(x92514,x92511,x92515),x92516)),f335(f335(f6(x92514,x92512),f335(f78(x92511,x92512,x92514,x92513),x92515)),x92516)) % 209.33/209.64 [9252]~P71(x92522)+~P25(x92524,x92521,x92525,x92526)+E(f335(f335(f9(x92521,x92522),x92523),f335(f318(x92524,x92521,x92525),x92526)),f335(f335(f9(x92524,x92522),f335(f78(x92521,x92522,x92524,x92523),x92525)),x92526)) % 209.33/209.64 [9299]~P34(x92992,x92995,x92991,x92993,x92996)+P106(f335(f335(x92991,f335(f335(f171(x92992),x92993),x92994)),f335(f335(f171(x92995),x92996),x92994)))+~P106(f335(f335(f244(a927),x92994),f335(f196(f928(x92995)),x92996))) % 209.33/209.64 [9300]~P34(x93002,x93005,x93001,x93003,x93006)+P106(f335(f335(x93001,f335(f335(f171(x93002),x93003),x93004)),f335(f335(f171(x93005),x93006),x93004)))+~P106(f335(f335(f244(a927),x93004),f335(f196(f928(x93002)),x93003))) % 209.33/209.64 [9311]~E(f335(f318(x93111,x93112,x93113),x93114),x93116)+E(f335(f318(x93111,x93112,x93113),f335(f318(x93112,x93111,f97(x93111,x93112,x93114,x93113)),x93115)),x93115)+~P106(f335(f335(f243(f934(x93112,a922)),x93115),x93116)) % 209.33/209.64 [9510]~P19(x95103,x95101,x95106,x95102)+~P106(f335(f66(x95103),x95104))+E(f335(f78(x95101,x95101,x95101,f335(x95102,f335(f335(f23(f934(x95103,a922)),x95104),f335(f335(f317(x95103),x95105),f195(f934(x95103,a922)))))),f335(x95106,x95105)),f335(x95102,f335(f335(f317(x95103),x95105),x95104))) % 209.33/209.64 [10113]~E(f335(f318(x101132,x101134,x101136),f250(f934(x101132,a922))),f250(f934(x101134,a922)))+~E(f335(f318(x101131,x101133,x101135),f250(f934(x101131,a922))),f250(f934(x101133,a922)))+E(f335(f318(f933(x101131,x101132),f933(x101133,x101134),f266(x101131,x101133,x101132,x101134,x101135,x101136)),f250(f934(f933(x101131,x101132),a922))),f250(f934(f933(x101133,x101134),a922))) % 209.33/209.64 [10172]~P25(x101723,x101724,x101725,f335(x101726,f659(x101726,x101725,x101724,x101723,x101722,x101721)))+P25(x101723,x101724,x101725,f335(f335(f45(x101722,f934(x101723,a922)),x101721),x101726))+E(x101721,f195(f934(x101722,a922))) % 209.33/209.64 [10229]P25(x102296,x102295,x102294,f335(f335(f45(x102292,f934(x102296,a922)),x102291),x102293))+E(x102291,f195(f934(x102292,a922)))+P106(f335(f335(f337(x102292),f659(x102293,x102294,x102295,x102296,x102292,x102291)),x102291)) % 209.33/209.64 [10234]P106(f335(f335(f337(x102341),f605(x102342,x102343,x102344,x102345,x102346,x102341)),x102346))+P106(f335(f335(f243(f934(f933(x102341,x102344),a922)),f335(f335(f262(x102341,x102344),x102346),x102343)),f335(f335(f262(x102341,x102344),x102345),x102342)))+~P106(f335(f335(f243(f934(x102341,a922)),x102346),x102345)) % 209.33/209.64 [10278]P24(x102786,x102785,f335(f335(f317(f926(x102786)),f98(x102786,x102784,x102783,x102782)),f195(f934(f926(x102786),a922))))+~P24(x102786,x102785,f335(f335(f317(f926(x102786)),f98(x102786,x102784,x102783,x102781)),f195(f934(f926(x102786),a922))))+P106(f335(f335(x102781,f789(x102782,x102781,x102783,x102784,x102785,x102786)),f881(x102782,x102781,x102783,x102784,x102785,x102786))) % 209.33/209.64 [10279]P24(x102796,x102795,f335(f335(f317(f926(x102796)),f98(x102796,x102791,x102793,x102792)),f195(f934(f926(x102796),a922))))+~P24(x102796,x102795,f335(f335(f317(f926(x102796)),f98(x102796,x102794,x102793,x102792)),f195(f934(f926(x102796),a922))))+P106(f335(f335(x102791,f889(x102791,x102792,x102793,x102794,x102795,x102796)),f903(x102791,x102792,x102793,x102794,x102795,x102796))) % 209.33/209.64 [10322]~P24(x103221,x103222,f335(f335(f317(f926(x103221)),f98(x103221,x103223,x103224,x103226)),f195(f934(f926(x103221),a922))))+P24(x103221,x103222,f335(f335(f317(f926(x103221)),f98(x103221,x103223,x103224,x103225)),f195(f934(f926(x103221),a922))))+~P106(f335(f335(x103225,f789(x103225,x103226,x103224,x103223,x103222,x103221)),f881(x103225,x103226,x103224,x103223,x103222,x103221))) % 209.33/209.64 [10323]~P24(x103231,x103232,f335(f335(f317(f926(x103231)),f98(x103231,x103236,x103234,x103235)),f195(f934(f926(x103231),a922))))+P24(x103231,x103232,f335(f335(f317(f926(x103231)),f98(x103231,x103233,x103234,x103235)),f195(f934(f926(x103231),a922))))+~P106(f335(f335(x103236,f889(x103233,x103235,x103234,x103236,x103232,x103231)),f903(x103233,x103235,x103234,x103236,x103232,x103231))) % 209.33/209.64 [10362]~P106(f335(f335(f243(f934(x103622,a922)),f335(x103624,f605(x103626,x103624,x103622,x103625,x103623,x103621))),f335(x103626,f605(x103626,x103624,x103622,x103625,x103623,x103621))))+~P106(f335(f335(f243(f934(x103621,a922)),x103623),x103625))+P106(f335(f335(f243(f934(f933(x103621,x103622),a922)),f335(f335(f262(x103621,x103622),x103623),x103624)),f335(f335(f262(x103621,x103622),x103625),x103626))) % 209.33/209.64 [7988]~P106(f335(x79881,x79885))+~P106(f335(x79886,x79884))+P106(f335(x79881,f335(f264(x79882,x79883),f335(f335(f260(x79882,x79883),x79884),x79885)))) % 209.33/209.64 [7989]~P106(f335(x79891,x79894))+~P106(f335(x79896,x79895))+P106(f335(x79891,f335(f259(x79892,x79893),f335(f335(f260(x79892,x79893),x79894),x79895)))) % 209.33/209.64 [8036]~P106(f335(f335(x80364,x80366),x80365))+~P106(f335(f335(f337(x80361),x80366),x80363))+P106(f335(f335(f335(f44(x80361,f934(x80362,a922)),x80363),x80364),x80365)) % 209.33/209.64 [8337]~P106(f335(f335(f337(x83371),x83372),f335(x83375,x83376)))+~P106(f335(f335(f337(x83373),x83376),x83374))+P106(f335(f335(f337(x83371),x83372),f335(f335(f44(x83373,f934(x83371,a922)),x83374),x83375))) % 209.33/209.64 [8379]P106(f335(f335(x83791,x83792),x83793))+~P106(f335(f335(x83794,x83792),x83793))+~P106(f335(f335(f243(f934(x83795,f934(x83796,a922))),x83794),x83791)) % 209.33/209.64 [8521]P106(f335(f335(x85211,x85212),x85213))+~P106(f335(f335(f337(x85214),x85212),x85215))+~P106(f335(f335(f335(f45(x85214,f934(x85216,a922)),x85215),x85211),x85213)) % 209.33/209.64 [8655]P106(f335(f335(f337(x86551),x86552),f335(x86553,x86554)))+~P106(f335(f335(f337(x86555),x86554),x86556))+~P106(f335(f335(f337(x86551),x86552),f335(f335(f45(x86555,f934(x86551,a922)),x86556),x86553))) % 209.33/209.64 [8922]~P11(x89224,x89225,x89226,x89221)+E(f335(x89221,x89222),f335(x89221,x89223))+~P106(f335(f335(f337(f933(x89224,x89224)),f335(f335(f260(x89224,x89224),x89222),x89223)),x89226)) % 209.33/209.64 [8957]P106(f335(f335(f243(f934(x89571,a922)),x89572),f335(x89573,x89574)))+~P106(f335(f335(f337(x89575),x89574),x89576))+~P106(f335(f335(f243(f934(x89571,a922)),x89572),f335(f335(f45(x89575,f934(x89571,a922)),x89576),x89573))) % 209.33/209.64 [8990]~P55(x89903,x89904,f335(f294(x89904,x89903),x89905))+E(x89901,f195(f934(x89902,a922)))+E(f335(f335(f45(x89902,f934(x89903,a922)),x89901),f335(f335(f8(f934(x89904,a922),f934(x89903,a922),x89902),f293(x89904,x89903,x89905)),x89906)),f335(f293(x89904,x89903,x89905),f335(f335(f45(x89902,f934(x89904,a922)),x89901),x89906))) % 209.33/209.64 [9068]P106(f335(f335(f337(x90681),x90682),f335(f293(x90683,x90681,x90684),x90685)))+~P106(f335(f335(f337(x90683),x90686),x90685))+~P106(f335(f335(f337(f933(x90683,x90681)),f335(f335(f260(x90683,x90681),x90686),x90682)),x90684)) % 209.33/209.64 [9377]P106(f335(f335(f243(f934(x93771,a922)),f335(f293(x93772,x93771,x93773),x93774)),f335(f293(x93772,x93771,x93775),x93776)))+~P106(f335(f335(f243(f934(x93772,a922)),x93774),x93776))+~P106(f335(f335(f243(f934(f933(x93772,x93771),a922)),x93773),x93775)) % 209.33/209.64 [9559]~P106(f335(f335(f337(x95592),x95596),x95594))+~P106(f335(f335(f243(f934(x95591,a922)),x95593),x95595))+P106(f335(f335(f243(f934(f933(x95591,x95592),a922)),f335(f335(f262(x95591,x95592),x95593),f335(f16(f934(x95592,a922),x95591),x95594))),f335(f335(f262(x95591,x95592),x95595),f335(f16(f934(x95592,a922),x95591),x95594)))) % 209.33/209.64 [9571]~P34(x95711,x95712,x95713,x95715,x95716)+P106(f335(f335(f265(x95711,x95712,a922),x95713),x95714))+~P106(f335(f335(f337(f933(x95711,x95712)),x95714),f335(f179(f933(x95711,x95712)),f335(f335(f188(x95711,x95712),x95715),x95716)))) % 209.33/209.64 [9708]~E(x97083,x97085)+P106(f335(f335(f337(f933(f928(x97081),f928(x97081))),f335(f335(f260(f928(x97081),f928(x97081)),f335(f335(f158(x97081),x97082),x97083)),f335(f335(f158(x97081),x97084),x97085))),f164(x97081,x97086)))+~P106(f335(f335(f337(f933(x97081,x97081)),f335(f335(f260(x97081,x97081),x97082),x97084)),x97086)) % 209.33/209.64 [9714]~E(f335(f196(f928(x97141)),x97143),f335(f196(f928(x97141)),x97145))+P106(f335(f335(f337(f933(f928(x97141),f928(x97141))),f335(f335(f260(f928(x97141),f928(x97141)),f335(f335(f158(x97141),x97142),x97143)),f335(f335(f158(x97141),x97144),x97145))),f152(x97141,x97146)))+~P106(f335(f335(f337(f933(x97141,x97141)),f335(f335(f260(x97141,x97141),x97142),x97144)),x97146)) % 209.33/209.64 [9746]P106(f335(f335(f337(f933(x97461,x97461)),f335(f335(f260(x97461,x97461),x97462),x97463)),f335(f335(f190(f933(x97461,x97461),a922),f335(a119,x97464)),x97465)))+~P106(f335(f335(f337(f933(x97461,x97461)),f335(f335(f260(x97461,x97461),x97466),x97463)),x97465))+~P106(f335(f335(f337(f933(x97461,x97461)),f335(f335(f260(x97461,x97461),x97462),x97466)),f335(f335(f190(f933(x97461,x97461),a922),x97464),x97465))) % 209.33/209.64 [9747]P106(f335(f335(f337(f933(x97471,x97471)),f335(f335(f260(x97471,x97471),x97472),x97473)),f335(f335(f190(f933(x97471,x97471),a922),f335(a119,x97474)),x97475)))+~P106(f335(f335(f337(f933(x97471,x97471)),f335(f335(f260(x97471,x97471),x97472),x97476)),x97475))+~P106(f335(f335(f337(f933(x97471,x97471)),f335(f335(f260(x97471,x97471),x97476),x97473)),f335(f335(f190(f933(x97471,x97471),a922),x97474),x97475))) % 209.33/209.64 [9750]~P106(f335(f335(f337(x97504),x97505),x97506))+P106(f335(f335(f243(f934(x97501,a922)),x97502),x97503))+~P106(f335(f335(f243(f934(f933(x97501,x97504),a922)),f335(f335(f262(x97501,x97504),x97502),f335(f16(f934(x97504,a922),x97501),x97506))),f335(f335(f262(x97501,x97504),x97503),f335(f16(f934(x97504,a922),x97501),x97506)))) % 209.33/209.64 [9795]E(x97951,x97952)+~P106(f335(f335(f337(f933(f928(x97953),f928(x97953))),f335(f335(f260(f928(x97953),f928(x97953)),f335(f335(f158(x97953),x97951),x97955)),f335(f335(f158(x97953),x97952),x97956))),f152(x97953,x97954)))+P106(f335(f335(f337(f933(x97953,x97953)),f335(f335(f260(x97953,x97953),x97951),x97952)),x97954)) % 209.33/209.64 [9796]E(x97961,x97962)+~P106(f335(f335(f337(f933(f928(x97963),f928(x97963))),f335(f335(f260(f928(x97963),f928(x97963)),f335(f335(f158(x97963),x97961),x97965)),f335(f335(f158(x97963),x97962),x97966))),f154(x97963,x97964)))+P106(f335(f335(f337(f933(x97963,x97963)),f335(f335(f260(x97963,x97963),x97961),x97962)),x97964)) % 209.33/209.64 [9797]E(x97971,x97972)+~P106(f335(f335(f337(f933(f928(x97973),f928(x97973))),f335(f335(f260(f928(x97973),f928(x97973)),f335(f335(f158(x97973),x97971),x97975)),f335(f335(f158(x97973),x97972),x97976))),f164(x97973,x97974)))+P106(f335(f335(f337(f933(x97973,x97973)),f335(f335(f260(x97973,x97973),x97971),x97972)),x97974)) % 209.33/209.64 [9833]P106(f335(f335(f337(f933(f928(x98331),f928(x98331))),f335(f335(f260(f928(x98331),f928(x98331)),f335(f335(f158(x98331),x98332),x98333)),f335(f335(f158(x98331),x98334),x98335))),f165(x98331,x98336)))+~P106(f335(f335(f337(f933(f928(x98331),f928(x98331))),f335(f335(f260(f928(x98331),f928(x98331)),x98333),x98335)),f165(x98331,x98336)))+~P106(f335(f335(f337(f933(x98331,x98331)),f335(f335(f260(x98331,x98331),x98332),x98334)),x98336)) % 209.33/209.64 [9850]P106(f335(x98501,x98502))+~P106(f335(x98501,f651(x98501,x98503,x98504,x98505,x98506)))+~P106(f335(f335(f337(x98506),x98502),f335(f335(f44(x98505,f934(x98506,a922)),x98504),x98503))) % 209.33/209.64 [9855]~P106(f335(f335(f337(f933(f928(x98551),f928(x98551))),f335(f335(f260(f928(x98551),f928(x98551)),f335(f335(f158(x98551),x98552),x98555)),f335(f335(f158(x98551),x98553),x98556))),f152(x98551,x98554)))+P106(f335(f335(f337(f933(f928(x98551),f928(x98551))),f335(f335(f260(f928(x98551),f928(x98551)),x98555),x98556)),f152(x98551,x98554)))+P106(f335(f335(f337(f933(x98551,x98551)),f335(f335(f260(x98551,x98551),x98552),x98553)),x98554)) % 209.33/209.64 [9856]~P106(f335(f335(f337(f933(f928(x98561),f928(x98561))),f335(f335(f260(f928(x98561),f928(x98561)),f335(f335(f158(x98561),x98562),x98565)),f335(f335(f158(x98561),x98563),x98566))),f154(x98561,x98564)))+P106(f335(f335(f337(f933(f928(x98561),f928(x98561))),f335(f335(f260(f928(x98561),f928(x98561)),x98565),x98566)),f154(x98561,x98564)))+P106(f335(f335(f337(f933(x98561,x98561)),f335(f335(f260(x98561,x98561),x98562),x98563)),x98564)) % 209.33/209.64 [9857]~P106(f335(f335(f337(f933(f928(x98571),f928(x98571))),f335(f335(f260(f928(x98571),f928(x98571)),f335(f335(f158(x98571),x98572),x98575)),f335(f335(f158(x98571),x98573),x98576))),f164(x98571,x98574)))+P106(f335(f335(f337(f933(f928(x98571),f928(x98571))),f335(f335(f260(f928(x98571),f928(x98571)),x98575),x98576)),f164(x98571,x98574)))+P106(f335(f335(f337(f933(x98571,x98571)),f335(f335(f260(x98571,x98571),x98572),x98573)),x98574)) % 209.33/209.64 [9947]P106(f335(x99471,x99472))+P106(f335(f335(f337(x99473),f642(x99471,x99474,x99475,x99473,x99476)),x99475))+~P106(f335(f335(f337(x99476),x99472),f335(f335(f44(x99473,f934(x99476,a922)),x99475),x99474))) % 209.33/209.64 [9958]~E(x99582,x99584)+P106(f335(f335(f337(f933(f928(x99581),f928(x99581))),f335(f335(f260(f928(x99581),f928(x99581)),f335(f335(f141(x99581),x99582),f335(f335(f158(x99581),x99583),f120(x99581)))),f335(f335(f141(x99581),x99584),f335(f335(f158(x99581),x99585),f120(x99581))))),f164(x99581,x99586)))+~P106(f335(f335(f337(f933(x99581,x99581)),f335(f335(f260(x99581,x99581),x99583),x99585)),x99586)) % 209.33/209.64 [10032]E(x100321,x100322)+~P106(f335(f335(f337(f933(f928(x100323),f928(x100323))),f335(f335(f260(f928(x100323),f928(x100323)),f335(f335(f141(x100323),x100325),f335(f335(f158(x100323),x100321),f120(x100323)))),f335(f335(f141(x100323),x100326),f335(f335(f158(x100323),x100322),f120(x100323))))),f164(x100323,x100324)))+P106(f335(f335(f337(f933(x100323,x100323)),f335(f335(f260(x100323,x100323),x100321),x100322)),x100324)) % 209.33/209.64 [10064]~P106(f335(f335(f337(f933(f928(x100641),f928(x100641))),f335(f335(f260(f928(x100641),f928(x100641)),f335(f335(f141(x100641),x100645),f335(f335(f158(x100641),x100642),f120(x100641)))),f335(f335(f141(x100641),x100646),f335(f335(f158(x100641),x100643),f120(x100641))))),f164(x100641,x100644)))+P106(f335(f335(f337(f933(f928(x100641),f928(x100641))),f335(f335(f260(f928(x100641),f928(x100641)),x100645),x100646)),f164(x100641,x100644)))+P106(f335(f335(f337(f933(x100641,x100641)),f335(f335(f260(x100641,x100641),x100642),x100643)),x100644)) % 209.33/209.64 [10084]P106(f335(x100841,x100842))+P106(f335(f335(f337(x100843),f651(x100841,x100844,x100845,x100846,x100843)),f335(x100844,f642(x100841,x100844,x100845,x100846,x100843))))+~P106(f335(f335(f337(x100843),x100842),f335(f335(f44(x100846,f934(x100843,a922)),x100845),x100844))) % 209.33/209.64 [10238]P106(f335(f335(f337(x102381),f910(x102382,x102383,x102384,x102385,x102386,x102381)),x102386))+~P106(f335(f335(f243(f934(x102381,a922)),x102386),x102385))+P106(f335(f335(f243(f934(x102384,a922)),f335(f335(f44(x102381,f934(x102384,a922)),x102386),x102383)),f335(f335(f44(x102381,f934(x102384,a922)),x102385),x102382))) % 209.33/209.64 [10239]P106(f335(f335(f337(x102391),f856(x102392,x102393,x102394,x102395,x102396,x102391)),x102395))+~P106(f335(f335(f243(f934(x102391,a922)),x102396),x102395))+P106(f335(f335(f243(f934(x102394,a922)),f335(f335(f45(x102391,f934(x102394,a922)),x102395),x102393)),f335(f335(f45(x102391,f934(x102394,a922)),x102395),x102392))) % 209.33/209.64 [10363]~P106(f335(f335(f243(f934(x103631,a922)),f335(x103634,f910(x103636,x103634,x103631,x103635,x103633,x103632))),f335(x103636,f910(x103636,x103634,x103631,x103635,x103633,x103632))))+~P106(f335(f335(f243(f934(x103632,a922)),x103633),x103635))+P106(f335(f335(f243(f934(x103631,a922)),f335(f335(f44(x103632,f934(x103631,a922)),x103633),x103634)),f335(f335(f44(x103632,f934(x103631,a922)),x103635),x103636))) % 209.33/209.64 [10364]~P106(f335(f335(f243(f934(x103641,a922)),f335(x103644,f856(x103645,x103644,x103641,x103643,x103646,x103642))),f335(x103645,f856(x103645,x103644,x103641,x103643,x103646,x103642))))+~P106(f335(f335(f243(f934(x103642,a922)),x103646),x103643))+P106(f335(f335(f243(f934(x103641,a922)),f335(f335(f45(x103642,f934(x103641,a922)),x103643),x103644)),f335(f335(f45(x103642,f934(x103641,a922)),x103643),x103645))) % 209.33/209.64 [9088]~P16(x90883,x90884,x90881)+~P106(f335(f66(x90883),x90886))+E(f335(f335(x90881,x90882),f335(f335(f69(x90883,x90884,x90881),x90885),f335(f335(f23(f934(x90883,a922)),x90886),f335(f335(f317(x90883),x90882),f195(f934(x90883,a922)))))),f335(f335(f69(x90883,x90884,x90881),x90885),f335(f335(f317(x90883),x90882),x90886))) % 209.33/209.64 [9386]~P106(f335(f335(f337(x93865),x93863),x93866))+P106(f335(f335(f243(f934(x93861,a922)),f335(x93862,x93863)),x93864))+~P106(f335(f335(f243(f934(x93861,a922)),f335(f335(f44(x93865,f934(x93861,a922)),x93866),x93862)),x93864)) % 209.33/209.64 [10007]~P8(x100071,x100075,x100074)+P106(f335(f335(f337(f933(x100071,x100071)),f335(f335(f260(x100071,x100071),x100072),x100073)),x100074))+~P106(f335(f335(f337(x100071),x100076),f335(f335(f108(f934(x100071,a922)),f335(f293(x100071,x100071,x100074),f335(f335(f317(x100071),x100072),f195(f934(x100071,a922))))),f335(f293(x100071,x100071,x100074),f335(f335(f317(x100071),x100073),f195(f934(x100071,a922))))))) % 209.33/209.64 [8810]~P121(x88102)+~E(f335(f335(f86(x88102),f335(f335(f87(x88102),x88104),x88105)),x88101),f335(f335(f86(x88102),f335(f335(f87(x88102),x88103),x88105)),x88106))+E(x88101,f335(f335(f86(x88102),f335(f335(f87(x88102),f335(f335(f23(x88102),x88103),x88104)),x88105)),x88106)) % 209.33/209.64 [8811]~P121(x88111)+~E(f335(f335(f86(x88111),f335(f335(f87(x88111),x88112),x88114)),x88115),f335(f335(f86(x88111),f335(f335(f87(x88111),x88113),x88114)),x88116))+E(f335(f335(f86(x88111),f335(f335(f87(x88111),f335(f335(f23(x88111),x88112),x88113)),x88114)),x88115),x88116) % 209.33/209.64 [8993]~P121(x89931)+E(f335(f335(f86(x89931),f335(f335(f87(x89931),x89932),x89933)),x89934),f335(f335(f86(x89931),f335(f335(f87(x89931),x89935),x89933)),x89936))+~E(x89936,f335(f335(f86(x89931),f335(f335(f87(x89931),f335(f335(f23(x89931),x89932),x89935)),x89933)),x89934)) % 209.33/209.64 [8994]~P121(x89941)+E(f335(f335(f86(x89941),f335(f335(f87(x89941),x89942),x89943)),x89944),f335(f335(f86(x89941),f335(f335(f87(x89941),x89945),x89943)),x89946))+~E(f335(f335(f86(x89941),f335(f335(f87(x89941),f335(f335(f23(x89941),x89942),x89945)),x89943)),x89944),x89946) % 209.33/209.64 [9323]~P106(f335(f335(x93234,x93235),x93236))+~P106(f335(f335(x93233,x93235),x93236))+P106(f335(f335(f335(f335(f108(f934(x93231,f934(x93232,a922))),x93233),x93234),x93235),x93236)) % 209.33/209.64 [9580]P106(f335(f335(x95801,x95802),x95803))+P106(f335(f335(x95804,x95802),x95803))+~P106(f335(f335(f335(f335(f117(f934(x95805,f934(x95806,a922))),x95804),x95801),x95802),x95803)) % 209.33/209.64 [9870]~P128(x98701)+~P106(f335(f335(f243(x98701),f335(f335(f86(x98701),f335(f335(f87(x98701),x98704),x98705)),x98702)),f335(f335(f86(x98701),f335(f335(f87(x98701),x98703),x98705)),x98706)))+P106(f335(f335(f243(x98701),x98702),f335(f335(f86(x98701),f335(f335(f87(x98701),f335(f335(f23(x98701),x98703),x98704)),x98705)),x98706))) % 209.33/209.64 [9871]~P128(x98711)+~P106(f335(f335(f244(x98711),f335(f335(f86(x98711),f335(f335(f87(x98711),x98714),x98715)),x98712)),f335(f335(f86(x98711),f335(f335(f87(x98711),x98713),x98715)),x98716)))+P106(f335(f335(f244(x98711),x98712),f335(f335(f86(x98711),f335(f335(f87(x98711),f335(f335(f23(x98711),x98713),x98714)),x98715)),x98716))) % 209.33/209.64 [9895]~P128(x98951)+P106(f335(f335(f243(x98951),f335(f335(f86(x98951),f335(f335(f87(x98951),x98952),x98953)),x98954)),f335(f335(f86(x98951),f335(f335(f87(x98951),x98955),x98953)),x98956)))+~P106(f335(f335(f243(x98951),x98954),f335(f335(f86(x98951),f335(f335(f87(x98951),f335(f335(f23(x98951),x98955),x98952)),x98953)),x98956))) % 209.33/209.64 [9896]~P128(x98961)+P106(f335(f335(f244(x98961),f335(f335(f86(x98961),f335(f335(f87(x98961),x98962),x98963)),x98964)),f335(f335(f86(x98961),f335(f335(f87(x98961),x98965),x98963)),x98966)))+~P106(f335(f335(f244(x98961),x98964),f335(f335(f86(x98961),f335(f335(f87(x98961),f335(f335(f23(x98961),x98965),x98962)),x98963)),x98966))) % 209.33/209.64 [9999]~P128(x99991)+~P106(f335(f335(f243(x99991),f335(f335(f86(x99991),f335(f335(f87(x99991),x99992),x99994)),x99995)),f335(f335(f86(x99991),f335(f335(f87(x99991),x99993),x99994)),x99996)))+P106(f335(f335(f243(x99991),f335(f335(f86(x99991),f335(f335(f87(x99991),f335(f335(f23(x99991),x99992),x99993)),x99994)),x99995)),x99996)) % 209.33/209.64 [10000]~P128(x100001)+~P106(f335(f335(f244(x100001),f335(f335(f86(x100001),f335(f335(f87(x100001),x100002),x100004)),x100005)),f335(f335(f86(x100001),f335(f335(f87(x100001),x100003),x100004)),x100006)))+P106(f335(f335(f244(x100001),f335(f335(f86(x100001),f335(f335(f87(x100001),f335(f335(f23(x100001),x100002),x100003)),x100004)),x100005)),x100006)) % 209.33/209.64 [10047]~P128(x100471)+P106(f335(f335(f243(x100471),f335(f335(f86(x100471),f335(f335(f87(x100471),x100472),x100473)),x100474)),f335(f335(f86(x100471),f335(f335(f87(x100471),x100475),x100473)),x100476)))+~P106(f335(f335(f243(x100471),f335(f335(f86(x100471),f335(f335(f87(x100471),f335(f335(f23(x100471),x100472),x100475)),x100473)),x100474)),x100476)) % 209.33/209.64 [10048]~P128(x100481)+P106(f335(f335(f244(x100481),f335(f335(f86(x100481),f335(f335(f87(x100481),x100482),x100483)),x100484)),f335(f335(f86(x100481),f335(f335(f87(x100481),x100485),x100483)),x100486)))+~P106(f335(f335(f244(x100481),f335(f335(f86(x100481),f335(f335(f87(x100481),f335(f335(f23(x100481),x100482),x100485)),x100483)),x100484)),x100486)) % 209.33/209.64 [10223]~P75(x102232)+~P106(f335(f66(x102231),x102236))+E(f335(f335(f6(x102231,x102232),f335(f335(f18(x102231,x102232,x102232),f335(f335(f18(x102231,x102232,f934(x102232,x102232)),f335(f335(f8(a922,f934(x102232,f934(x102232,x102232)),x102231),f103(x102232)),x102233)),x102234)),x102235)),x102236),f335(f335(f86(x102232),f335(f335(f6(x102231,x102232),x102234),f335(f335(f108(f934(x102231,a922)),x102236),f335(f270(x102231),x102233)))),f335(f335(f6(x102231,x102232),x102235),f335(f335(f108(f934(x102231,a922)),x102236),f335(f85(f934(x102231,a922)),f335(f270(x102231),x102233)))))) % 209.33/209.64 [10286]P106(f335(f335(f337(x102862),x102864),x102866))+P106(f335(f335(f337(x102862),x102865),x102866))+E(f335(f319(x102861,x102862,f335(f335(f7(x102861,x102862,x102862),f335(f335(f7(x102861,x102862,f934(x102862,x102862)),f335(f335(f8(a922,f934(x102862,f934(x102862,x102862)),x102861),f103(x102862)),f335(f335(f7(x102861,f934(x102861,a922),a922),f337(x102861)),x102863))),x102864)),x102865)),x102866),f195(f934(x102861,a922))) % 209.33/209.64 [10287]P106(f335(f335(f337(x102872),x102875),x102876))+~P106(f335(f335(f337(x102872),x102874),x102876))+E(f335(f319(x102871,x102872,f335(f335(f7(x102871,x102872,x102872),f335(f335(f7(x102871,x102872,f934(x102872,x102872)),f335(f335(f8(a922,f934(x102872,f934(x102872,x102872)),x102871),f103(x102872)),f335(f335(f7(x102871,f934(x102871,a922),a922),f337(x102871)),x102873))),x102874)),x102875)),x102876),x102873) % 209.33/209.64 [10288]P106(f335(f335(f337(x102882),x102884),x102886))+~P106(f335(f335(f337(x102882),x102885),x102886))+E(f335(f319(x102881,x102882,f335(f335(f7(x102881,x102882,x102882),f335(f335(f7(x102881,x102882,f934(x102882,x102882)),f335(f335(f8(a922,f934(x102882,f934(x102882,x102882)),x102881),f103(x102882)),f335(f335(f7(x102881,f934(x102881,a922),a922),f337(x102881)),x102883))),x102884)),x102885)),x102886),f335(f85(f934(x102881,a922)),x102883)) % 209.33/209.64 [10289]~P106(f335(f335(f337(x102892),x102894),x102896))+~P106(f335(f335(f337(x102892),x102895),x102896))+E(f335(f319(x102891,x102892,f335(f335(f7(x102891,x102892,x102892),f335(f335(f7(x102891,x102892,f934(x102892,x102892)),f335(f335(f8(a922,f934(x102892,f934(x102892,x102892)),x102891),f103(x102892)),f335(f335(f7(x102891,f934(x102891,a922),a922),f337(x102891)),x102893))),x102894)),x102895)),x102896),f250(f934(x102891,a922))) % 209.33/209.64 [8843]E(x88431,x88432)+~P57(x88434,x88435,x88433,x88436,x88437)+~E(f335(x88433,x88431),f335(x88433,x88432)) % 209.33/209.64 [8872]~P10(x88726,x88725,x88727,x88724,x88721)+E(f335(f335(x88721,x88722),x88723),x88724)+P106(f335(f66(x88725),x88723)) % 209.33/209.64 [9737]P42(x97371,x97372,x97373,x97374,x97375,f335(f335(x97373,x97376),x97377))+~E(f335(f335(x97373,x97376),x97377),x97374)+~E(x97375,f195(f934(x97371,a922))) % 209.33/209.64 [9917]~P106(f335(x99176,x99173))+~P106(f335(f335(f337(f933(x99172,x99172)),f335(f335(f260(x99172,x99172),x99174),x99175)),f335(x99177,x99173)))+P106(f335(f335(f337(f933(f933(x99171,x99172),f933(x99171,x99172))),f335(f335(f260(f933(x99171,x99172),f933(x99171,x99172)),f335(f335(f260(x99171,x99172),x99173),x99174)),f335(f335(f260(x99171,x99172),x99173),x99175))),f288(x99171,x99172,x99176,x99177))) % 209.33/209.64 [10351]~P42(x103512,x103517,x103513,x103516,x103511,f335(f335(x103513,x103515),x103514))+E(f335(f335(x103513,f521(x103514,x103515,x103511,x103516,x103513,x103517,x103512)),f530(x103514,x103515,x103511,x103516,x103513,x103517,x103512)),f335(f335(x103513,x103515),x103514))+E(x103511,f195(f934(x103512,a922))) % 209.33/209.64 [10352]~P42(x103527,x103526,x103521,x103524,x103525,f335(f335(x103521,x103522),x103523))+E(f335(f335(x103521,f521(x103523,x103522,x103525,x103524,x103521,x103526,x103527)),f530(x103523,x103522,x103525,x103524,x103521,x103526,x103527)),f335(f335(x103521,x103522),x103523))+E(f335(f335(x103521,x103522),x103523),x103524) % 209.33/209.64 [9419]~P34(x94191,x94192,x94193,x94195,x94197)+P34(x94191,x94192,x94193,f335(f335(f158(x94191),x94194),x94195),f335(f335(f158(x94192),x94196),x94197))+~P106(f335(f335(x94193,x94194),x94196)) % 209.33/209.64 [9435]P34(x94351,x94352,x94353,x94354,x94355)+~P34(x94351,x94352,x94353,f335(f335(f141(x94351),x94356),x94354),f335(f335(f141(x94352),x94357),x94355))+~E(f335(f196(f928(x94351)),x94356),f335(f196(f928(x94352)),x94357)) % 209.33/209.64 [9436]P34(x94361,x94362,x94363,x94364,x94365)+~P34(x94361,x94362,x94363,f335(f335(f141(x94361),x94364),x94366),f335(f335(f141(x94362),x94365),x94367))+~E(f335(f196(f928(x94361)),x94364),f335(f196(f928(x94362)),x94365)) % 209.33/209.64 [9644]~P34(x96441,x96442,x96443,x96445,x96447)+~P34(x96441,x96442,x96443,x96444,x96446)+P34(x96441,x96442,x96443,f335(f335(f141(x96441),x96444),x96445),f335(f335(f141(x96442),x96446),x96447)) % 209.33/209.64 [9992]~P106(f335(f71(x99921,x99924,x99925,x99926,x99923),x99927))+P106(f335(f71(x99921,x99924,x99925,x99926,f335(f335(f317(x99921),x99922),x99923)),f335(f335(x99925,x99922),x99927)))+P106(f335(f335(f337(x99921),x99922),x99923)) % 209.33/209.64 [10380]~P42(x103802,x103807,x103806,x103805,x103801,f335(f335(x103806,x103804),x103803))+E(x103801,f195(f934(x103802,a922)))+P106(f335(f335(f337(x103802),f521(x103803,x103804,x103801,x103805,x103806,x103807,x103802)),x103801)) % 209.33/209.64 [10381]~P42(x103815,x103817,x103811,x103814,x103816,f335(f335(x103811,x103812),x103813))+E(f335(f335(x103811,x103812),x103813),x103814)+P106(f335(f335(f337(x103815),f521(x103813,x103812,x103816,x103814,x103811,x103817,x103815)),x103816)) % 209.33/209.64 [10473]E(f335(f335(f260(x104731,x104732),x104733),x104734),f335(f335(f260(x104731,x104732),x104735),x104736))+P106(f335(f335(f337(f933(f933(x104731,x104732),f933(x104731,x104732))),f335(f335(f260(f933(x104731,x104732),f933(x104731,x104732)),f335(f335(f260(x104731,x104732),f865(x104737,x104734,x104733,x104736,x104735,x104732,x104731)),f866(x104737,x104734,x104733,x104736,x104735,x104732,x104731))),f335(f335(f260(x104731,x104732),x104733),x104734))),f315(f933(x104731,x104732),x104737)))+~P106(f335(f335(f337(f933(f933(x104731,x104732),f933(x104731,x104732))),f335(f335(f260(f933(x104731,x104732),f933(x104731,x104732)),f335(f335(f260(x104731,x104732),x104735),x104736)),f335(f335(f260(x104731,x104732),x104733),x104734))),f315(f933(x104731,x104732),x104737))) % 209.33/209.64 [9113]~P21(x91134,x91135,x91136,x91137,x91131)+~P106(f335(f66(x91135),x91133))+E(f335(f335(x91131,x91132),x91133),f335(f335(f335(f70(x91134,x91135,x91136),x91132),x91137),x91133)) % 209.33/209.64 [9114]~P10(x91144,x91145,x91146,x91147,x91141)+~P106(f335(f66(x91145),x91143))+E(f335(f335(x91141,x91142),x91143),f335(f335(f335(f70(x91144,x91145,x91146),x91142),x91147),x91143)) % 209.33/209.64 [9881]~P24(x98811,x98812,f335(f335(f317(f926(x98811)),f98(x98811,x98813,x98814,x98817)),f195(f934(f926(x98811),a922))))+P24(x98811,x98812,f335(f335(f317(f926(x98811)),f98(x98811,x98813,f32(x98814,x98815),x98816)),f195(f934(f926(x98811),a922))))+~P24(x98811,x98812,f335(f335(f317(f926(x98811)),f98(x98811,x98817,x98815,x98816)),f195(f934(f926(x98811),a922)))) % 209.33/209.64 [9890]~P23(x98903,x98904,x98905,x98907,x98906,x98901)+~P106(f335(f66(x98904),x98902))+E(f335(x98901,x98902),f335(f335(f335(f70(x98903,x98904,x98905),x98906),x98907),x98902)) % 209.33/209.64 [10041]P42(x100411,x100412,x100413,x100414,x100415,f335(f335(x100413,x100416),x100417))+~P42(x100411,x100412,x100413,x100414,f335(f335(f23(f934(x100411,a922)),x100415),f335(f335(f317(x100411),x100416),f195(f934(x100411,a922)))),x100417)+~P106(f335(f335(f337(x100411),x100416),x100415)) % 209.33/209.64 [10169]~P24(x101691,x101692,f335(f335(f317(f926(x101691)),f98(x101691,f99(x101691,x101693,x101694),x101695,x101697)),f195(f934(f926(x101691),a922))))+P24(x101691,x101692,f335(f335(f317(f926(x101691)),f98(x101691,x101693,f29(x101694,x101695,x101696),x101697)),f195(f934(f926(x101691),a922))))+~P24(x101691,x101692,f335(f335(f317(f926(x101691)),f98(x101691,f99(x101691,x101693,f335(f78(a922,a922,a923,a330),x101694)),x101696,x101697)),f195(f934(f926(x101691),a922)))) % 209.33/209.64 [10406]P106(f335(f335(x104067,f814(x104064,x104065,x104061,x104066,x104063,x104062,x104067)),f815(x104064,x104065,x104061,x104066,x104063,x104062,x104067)))+~P106(f335(f335(x104067,f335(f264(x104062,x104063),x104066)),f335(f259(x104062,x104063),x104066)))+P106(f335(x104061,f335(f335(f265(x104062,x104063,x104064),x104065),x104066))) % 209.33/209.64 [10407]P24(x104077,x104076,f335(f335(f317(f926(x104077)),f98(x104077,x104071,x104074,x104072)),f195(f934(f926(x104077),a922))))+~P24(x104077,x104076,f335(f335(f317(f926(x104077)),f98(x104077,x104075,x104074,x104073)),f195(f934(f926(x104077),a922))))+P106(f335(f335(x104071,f911(x104072,x104071,x104073,x104074,x104075,x104076,x104077)),f920(x104072,x104071,x104073,x104074,x104075,x104076,x104077))) % 209.33/209.64 [10418]~P42(x104182,x104183,x104184,x104185,x104181,f335(f335(x104184,x104187),x104186))+P42(x104182,x104183,x104184,x104185,f335(f335(f23(f934(x104182,a922)),x104181),f335(f335(f317(x104182),f521(x104186,x104187,x104181,x104185,x104184,x104183,x104182)),f195(f934(x104182,a922)))),f530(x104186,x104187,x104181,x104185,x104184,x104183,x104182))+E(x104181,f195(f934(x104182,a922))) % 209.33/209.64 [10419]~P42(x104195,x104196,x104191,x104194,x104197,f335(f335(x104191,x104192),x104193))+P42(x104195,x104196,x104191,x104194,f335(f335(f23(f934(x104195,a922)),x104197),f335(f335(f317(x104195),f521(x104193,x104192,x104197,x104194,x104191,x104196,x104195)),f195(f934(x104195,a922)))),f530(x104193,x104192,x104197,x104194,x104191,x104196,x104195))+E(f335(f335(x104191,x104192),x104193),x104194) % 209.33/209.64 [10420]~P24(x104201,x104202,f335(f335(f317(f926(x104201)),f98(x104201,x104207,x104204,x104206)),f195(f934(f926(x104201),a922))))+P24(x104201,x104202,f335(f335(f317(f926(x104201)),f98(x104201,x104203,x104204,x104205)),f195(f934(f926(x104201),a922))))+~P106(f335(f335(x104205,f911(x104205,x104203,x104206,x104204,x104207,x104202,x104201)),f353(x104205,x104203,x104206,x104204,x104207,x104202,x104201))) % 209.33/209.64 [10440]~P106(f335(x104401,f335(f335(x104405,f815(x104404,x104405,x104401,x104406,x104403,x104402,x104407)),f814(x104404,x104405,x104401,x104406,x104403,x104402,x104407))))+~P106(f335(f335(x104407,f335(f264(x104402,x104403),x104406)),f335(f259(x104402,x104403),x104406)))+P106(f335(x104401,f335(f335(f265(x104402,x104403,x104404),x104405),x104406))) % 209.33/209.64 [9722]P106(f335(f335(f243(f934(f933(x97221,x97222),a922)),f335(f335(f297(x97221,x97223,x97222),x97224),x97225)),f335(f335(f297(x97221,x97223,x97222),x97226),x97227)))+~P106(f335(f335(f243(f934(f933(x97223,x97222),a922)),x97225),x97227))+~P106(f335(f335(f243(f934(f933(x97221,x97223),a922)),x97224),x97226)) % 209.33/209.64 [10467]E(f335(f335(f260(x104671,x104672),x104673),x104674),f335(f335(f260(x104671,x104672),x104675),x104676))+~P106(f335(f335(f337(f933(f933(x104671,x104672),f933(x104671,x104672))),f335(f335(f260(f933(x104671,x104672),f933(x104671,x104672)),f335(f335(f260(x104671,x104672),x104673),x104674)),f335(f335(f260(x104671,x104672),x104675),x104676))),f315(f933(x104671,x104672),x104677)))+P106(f335(f335(f337(f933(f933(x104671,x104672),f933(x104671,x104672))),f335(f335(f260(f933(x104671,x104672),f933(x104671,x104672)),f335(f335(f260(x104671,x104672),x104673),x104674)),f335(f335(f260(x104671,x104672),f865(x104677,x104676,x104675,x104674,x104673,x104672,x104671)),f866(x104677,x104676,x104675,x104674,x104673,x104672,x104671)))),x104677)) % 209.33/209.64 [10053]~P106(f335(f335(f337(x100531),x100536),x100535))+P106(f335(f71(x100531,x100532,x100533,x100534,x100535),f335(f335(x100533,x100536),x100537)))+~P106(f335(f71(x100531,x100532,x100533,x100534,f335(f335(f23(f934(x100531,a922)),x100535),f335(f335(f317(x100531),x100536),f195(f934(x100531,a922))))),x100537)) % 209.33/209.64 [10480]~P145(x104801)+~P25(f933(x104802,x104803),x104801,f335(f265(x104802,x104803,x104801),f335(f335(f7(x104802,f934(x104803,x104801),f934(x104803,x104801)),f335(f335(f8(f934(x104801,x104801),f934(f934(x104803,x104801),f934(x104803,x104801)),x104802),f8(x104801,x104801,x104803)),f335(f335(f8(x104801,f934(x104801,x104801),x104802),f87(x104801)),x104804))),x104805)),f335(f335(f262(x104802,x104803),x104806),f335(f16(f934(x104803,a922),x104802),x104807)))+E(f335(f335(f6(x104801,x104801),f25(x104801)),f335(f270(x104801),f335(f335(f8(f934(x104802,a922),a922,x104801),f93(x104802)),f335(f335(f8(f934(x104802,f934(x104803,a922)),f934(x104802,a922),x104801),f335(f8(f934(x104803,a922),a922,x104802),f93(x104803))),f335(f335(f7(x104801,f934(x104802,f934(x104803,a922)),f934(x104802,f934(x104803,a922))),f335(f335(f8(f934(x104802,f934(f934(x104803,a922),f934(x104803,a922))),f934(f934(x104802,f934(x104803,a922)),f934(x104802,f934(x104803,a922))),x104801),f18(x104802,f934(x104803,a922),f934(x104803,a922))),f335(f335(f8(f934(x104802,f934(x104803,f934(a922,a922))),f934(x104802,f934(f934(x104803,a922),f934(x104803,a922))),x104801),f335(f8(f934(x104803,f934(a922,a922)),f934(f934(x104803,a922),f934(x104803,a922)),x104802),f18(x104803,a922,a922))),f335(f335(f8(f934(x104802,f934(x104803,a922)),f934(x104802,f934(x104803,f934(a922,a922))),x104801),f335(f8(f934(x104803,a922),f934(x104803,f934(a922,a922)),x104802),f335(f8(a922,f934(a922,a922),x104803),a333))),f335(f335(f7(x104801,f934(x104802,f934(x104803,x104801)),f934(x104802,f934(x104803,a922))),f335(f335(f8(f934(f934(x104803,x104801),f934(x104803,a922)),f934(f934(x104802,f934(x104803,x104801)),f934(x104802,f934(x104803,a922))),x104801),f8(f934(x104803,x104801),f934(x104803,a922),x104802)),f335(f335(f8(f934(x104801,a922),f934(f934(x104803,x104801),f934(x104803,a922)),x104801),f8(x104801,a922,x104803)),a332))),f335(f335(f7(x104802,f934(x104803,x104801),f934(x104803,x104801)),f335(f335(f8(f934(x104801,x104801),f934(f934(x104803,x104801),f934(x104803,x104801)),x104802),f8(x104801,x104801,x104803)),f335(f335(f8(x104801,f934(x104801,x104801),x104802),f87(x104801)),x104804))),x104805)))))),f335(f335(f7(x104802,f934(x104803,a922),f934(x104803,a922)),f335(f335(f8(f934(a922,a922),f934(f934(x104803,a922),f934(x104803,a922)),x104802),f8(a922,a922,x104803)),f335(f335(f8(a922,f934(a922,a922),x104802),a333),f335(f335(f7(x104802,f934(x104802,a922),a922),f337(x104802)),x104806)))),f335(f335(f7(x104803,f934(x104803,a922),a922),f337(x104803)),x104807))))))),f335(f335(f87(x104801),f335(f335(f6(x104802,x104801),x104804),x104806)),f335(f335(f6(x104803,x104801),x104805),x104807))) % 209.33/209.64 [9726]~P26(x97261,x97263,x97265,x97266,x97268)+~P26(x97263,x97262,x97264,x97268,x97267)+P26(x97261,x97262,f335(f78(x97263,x97262,x97261,x97264),x97265),x97266,x97267) % 209.33/209.64 [9755]P26(x97551,x97552,x97553,x97554,x97555)+~P26(x97556,x97551,x97557,x97558,x97554)+~P26(x97556,x97552,f335(f78(x97551,x97552,x97556,x97553),x97557),x97558,x97555) % 209.33/209.64 [9888]~P106(f335(f335(x98884,x98886),x98888))+~P106(f335(f335(x98885,x98888),x98887))+P106(f335(f335(f261(x98881,x98882,x98883,x98884,x98885),x98886),x98887)) % 209.33/209.64 [9487]~P19(x94878,x94871,x94873,x94875)+~P106(f335(f66(x94878),x94876))+E(f335(f78(x94871,x94871,x94872,f335(x94873,x94874)),f335(f78(x94871,x94871,x94872,f335(x94875,x94876)),x94877)),f335(f78(x94871,x94871,x94872,f335(x94875,x94876)),f335(f78(x94871,x94871,x94872,f335(x94873,x94874)),x94877))) % 209.33/209.64 [9877]~P22(x98777,x98772,x98775,x98778,x98776,x98771)+~P106(f335(f66(x98772),x98774))+E(f335(x98771,f335(f335(f317(x98772),x98773),x98774)),f335(f335(x98775,f335(x98776,x98773)),f335(x98771,x98774))) % 209.33/209.64 [9997]~P25(x99972,x99974,x99976,x99978)+~P25(x99971,x99973,x99975,x99977)+P25(f933(x99971,x99972),f933(x99973,x99974),f266(x99971,x99973,x99972,x99974,x99975,x99976),f335(f335(f262(x99971,x99972),x99977),f335(f16(f934(x99972,a922),x99971),x99978))) % 209.33/209.64 [9670]P106(f335(f335(f337(f933(x96701,x96702)),f335(f335(f260(x96701,x96702),x96703),x96704)),f335(f335(f297(x96701,x96705,x96702),x96706),x96707)))+~P106(f335(f335(f337(f933(x96701,x96705)),f335(f335(f260(x96701,x96705),x96703),x96708)),x96706))+~P106(f335(f335(f337(f933(x96705,x96702)),f335(f335(f260(x96705,x96702),x96708),x96704)),x96707)) % 209.33/209.64 [9858]~P106(f335(f335(f243(f934(f933(x98583,x98582),a922)),x98585),f335(f335(f262(x98583,x98582),x98588),f335(f16(f934(x98582,a922),x98583),x98587))))+~P106(f335(f335(f243(f934(f933(x98581,x98583),a922)),x98584),f335(f335(f262(x98581,x98583),x98586),f335(f16(f934(x98583,a922),x98581),x98588))))+P106(f335(f335(f243(f934(f933(x98581,x98582),a922)),f335(f335(f297(x98581,x98583,x98582),x98584),x98585)),f335(f335(f262(x98581,x98582),x98586),f335(f16(f934(x98582,a922),x98581),x98587)))) % 209.33/209.64 [9912]~E(x99123,x99125)+P106(f335(f335(f337(f933(f933(x99121,x99122),f933(x99121,x99122))),f335(f335(f260(f933(x99121,x99122),f933(x99121,x99122)),f335(f335(f260(x99121,x99122),x99123),x99124)),f335(f335(f260(x99121,x99122),x99125),x99126))),f327(x99121,x99122,x99127,x99128)))+~P106(f335(f335(f337(f933(x99122,x99122)),f335(f335(f260(x99122,x99122),x99124),x99126)),x99128)) % 209.33/209.64 [10016]E(x100161,x100162)+~P106(f335(f335(f337(f933(f933(x100163,x100165),f933(x100163,x100165))),f335(f335(f260(f933(x100163,x100165),f933(x100163,x100165)),f335(f335(f260(x100163,x100165),x100161),x100166)),f335(f335(f260(x100163,x100165),x100162),x100167))),f327(x100163,x100165,x100164,x100168)))+P106(f335(f335(f337(f933(x100163,x100163)),f335(f335(f260(x100163,x100163),x100161),x100162)),x100164)) % 209.33/209.64 [10031]~P106(f335(f335(f337(f933(f933(x100311,x100315),f933(x100311,x100315))),f335(f335(f260(f933(x100311,x100315),f933(x100311,x100315)),f335(f335(f260(x100311,x100315),x100312),x100316)),f335(f335(f260(x100311,x100315),x100313),x100317))),f327(x100311,x100315,x100314,x100318)))+P106(f335(f335(f337(f933(x100311,x100311)),f335(f335(f260(x100311,x100311),x100312),x100313)),x100314))+P106(f335(f335(f337(f933(x100315,x100315)),f335(f335(f260(x100315,x100315),x100316),x100317)),x100318)) % 209.33/209.64 [9948]~P23(x99487,x99485,x99481,x99488,x99482,x99484)+~P106(f335(f66(x99485),x99486))+E(f335(f335(x99481,f335(x99482,x99483)),f335(x99484,f335(f335(f23(f934(x99485,a922)),x99486),f335(f335(f317(x99485),x99483),f195(f934(x99485,a922)))))),f335(x99484,f335(f335(f317(x99485),x99483),x99486))) % 209.33/209.64 [9441]~P106(f335(f335(f335(x94415,x94418),x94416),x94417))+~P106(f335(f335(f337(x94411),x94418),x94414))+P106(f335(f335(f335(f335(f44(x94411,f934(x94412,f934(x94413,a922))),x94414),x94415),x94416),x94417)) % 209.33/209.64 [9655]P106(f335(f335(f335(x96551,x96552),x96553),x96554))+~P106(f335(f335(f337(x96555),x96552),x96556))+~P106(f335(f335(f335(f335(f45(x96555,f934(x96557,f934(x96558,a922))),x96556),x96551),x96553),x96554)) % 209.33/209.64 [9851]~P21(x98513,x98512,x98514,x98518,x98511)+~P106(f335(f66(x98512),x98517))+E(f335(f335(x98511,f335(f335(f18(x98512,x98513,x98513),f335(f335(f8(x98513,f934(x98513,x98513),x98512),x98514),x98515)),x98516)),x98517),f335(f335(x98514,f335(f335(x98511,x98515),x98517)),f335(f335(x98511,x98516),x98517))) % 209.33/209.64 [10119]~E(f335(f318(x101192,x101194,x101196),x101198),x1011910)+~E(f335(f318(x101191,x101193,x101195),x101197),x101199)+E(f335(f318(f933(x101191,x101192),f933(x101193,x101194),f266(x101191,x101193,x101192,x101194,x101195,x101196)),f335(f335(f262(x101191,x101192),x101197),f335(f16(f934(x101192,a922),x101191),x101198))),f335(f335(f262(x101193,x101194),x101199),f335(f16(f934(x101194,a922),x101193),x1011910))) % 209.33/209.64 [5121]~P48(x51211,x51212)+~P50(x51211,x51212)+~P51(x51211,x51212)+P7(x51211,x51212) % 209.33/209.64 [5077]~P108(x50772)+~P13(x50772,x50771)+P13(x50772,f121(x50772,x50771))+E(x50771,f120(x50772)) % 209.33/209.64 [5078]~P108(x50782)+~P13(x50782,x50781)+P13(x50782,f731(x50781,x50782))+E(x50781,f120(x50782)) % 209.33/209.64 [5320]~P5(x53202)+E(f10(x53202,x53201),f43(x53202,x53201))+E(x53201,f195(f934(x53202,a922)))+~P106(f335(f66(x53202),x53201)) % 209.33/209.64 [5321]~P5(x53212)+E(f13(x53212,x53211),f42(x53212,x53211))+E(x53211,f195(f934(x53212,a922)))+~P106(f335(f66(x53212),x53211)) % 209.33/209.64 [5478]~P108(x54782)+~P13(x54782,x54781)+E(x54781,f120(x54782))+E(f335(f335(f158(x54782),f750(x54781,x54782)),f731(x54781,x54782)),x54781) % 209.33/209.64 [6283]~P96(x62832)+E(x62831,f195(f934(x62832,a922)))+P106(f335(f335(f243(x62832),f10(x62832,x62831)),f13(x62832,x62831)))+~P106(f335(f66(x62832),x62831)) % 209.33/209.64 [6294]~P40(x62942)+~P40(x62941)+E(x62941,x62942)+~E(f335(f318(a1,a927,a111),x62941),f335(f318(a1,a927,a111),x62942)) % 209.33/209.64 [9301]~P122(x93011)+~P106(f335(f335(f337(x93011),x93012),f116(x93011)))+P106(f335(f335(f244(x93011),f335(f335(f86(x93011),f335(f335(f86(x93011),f84(x93011)),x93012)),x93012)),f2(x93011)))+~P106(f335(f335(f244(x93011),x93012),f2(x93011))) % 209.33/209.64 [9540]~P122(x95401)+~P106(f335(f335(f337(x95401),x95402),f116(x95401)))+~P106(f335(f335(f244(x95401),f335(f335(f86(x95401),f335(f335(f86(x95401),f84(x95401)),x95402)),x95402)),f2(x95401)))+P106(f335(f335(f244(x95401),x95402),f2(x95401))) % 209.33/209.64 [5136]~P145(x51362)+~P115(x51362)+E(x51361,f2(a927))+E(f335(f335(f252(x51362),f2(x51362)),x51361),f2(x51362)) % 209.33/209.64 [5139]~P145(x51391)+~P115(x51391)+~E(x51392,f2(a927))+E(f335(f335(f252(x51391),f2(x51391)),x51392),f84(x51391)) % 209.33/209.64 [5306]~P139(x53062)+E(x53061,f84(x53062))+E(x53061,f335(f85(x53062),f84(x53062)))+~E(f335(f335(f87(x53062),x53061),x53061),f84(x53062)) % 209.33/209.64 [5558]~P88(x55582)+E(x55581,f2(x55582))+E(f88(x55582,x55581),f335(f85(x55582),f84(x55582)))+P106(f335(f335(f244(x55582),f2(x55582)),x55581)) % 209.33/209.64 [5797]~P88(x57972)+E(f88(x57972,x57971),f84(x57972))+E(x57971,f2(x57972))+~P106(f335(f335(f244(x57972),f2(x57972)),x57971)) % 209.33/209.64 [5806]E(x58061,x58062)+~E(f335(f110(a927),x58061),f335(f110(a927),x58062))+P106(f335(a200,f335(f110(a1),x58062)))+P106(f335(a200,f335(f110(a1),x58061))) % 209.33/209.64 [5856]~P92(x58561)+~E(x58562,f2(x58561))+E(f335(f335(f86(x58561),x58562),x58562),f2(x58561))+~P106(f335(f335(f337(x58561),x58562),f116(x58561))) % 209.33/209.64 [5895]E(x58951,f2(a1))+~E(f335(f335(f41(a1),x58952),x58951),f2(a1))+P106(f335(f335(f244(a1),x58951),x58952))+P106(f335(f335(f244(a1),x58952),x58951)) % 209.33/209.64 [5925]E(x59251,f2(a1))+~E(f335(f335(f41(a1),x59252),x59251),f2(a1))+P106(f335(f335(f243(a1),x59252),f2(a1)))+P106(f335(f335(f244(a1),x59252),x59251)) % 209.33/209.64 [5959]E(x59591,f2(a1))+~E(f335(f335(f41(a1),x59592),x59591),f2(a1))+P106(f335(f335(f243(a1),f2(a1)),x59592))+P106(f335(f335(f244(a1),x59591),x59592)) % 209.33/209.64 [5994]~P92(x59942)+E(x59941,f2(x59942))+~E(f335(f335(f86(x59942),x59941),x59941),f2(x59942))+~P106(f335(f335(f337(x59942),x59941),f116(x59942))) % 209.33/209.64 [6056]E(f335(f110(a927),x60561),f335(f110(a927),x60562))+~E(f335(f110(a1),x60562),f2(a1))+P106(f335(a200,f335(f110(a1),x60562)))+~P106(f335(a200,f335(f110(a1),x60561))) % 209.33/209.64 [6085]~E(f335(f110(a927),x60852),f335(f110(a927),x60851))+E(f335(f110(a1),x60851),f2(a1))+P106(f335(a200,f335(f110(a1),x60851)))+~P106(f335(a200,f335(f110(a1),x60852))) % 209.33/209.64 [6095]~P108(x60952)+E(x60951,f195(f934(x60952,a922)))+~P106(f335(f66(x60952),x60951))+P106(f335(f335(f337(x60952),f14(x60952,x60951)),x60951)) % 209.33/209.64 [6096]~P108(x60962)+E(x60961,f195(f934(x60962,a922)))+~P106(f335(f66(x60962),x60961))+P106(f335(f335(f337(x60962),f15(x60962,x60961)),x60961)) % 209.33/209.64 [6260]~P122(x62601)+~P93(x62601)+P106(f335(f335(f243(x62601),f2(x62601)),f335(f110(x62601),x62602)))+~P106(f335(f335(f243(a1),a89),x62602)) % 209.33/209.64 [6261]~P122(x62611)+~P93(x62611)+P106(f335(f335(f244(x62611),f2(x62611)),f335(f110(x62611),x62612)))+~P106(f335(f335(f244(a1),a89),x62612)) % 209.33/209.64 [6282]~P122(x62821)+~P93(x62821)+E(f335(f81(x62821),f335(f110(x62821),x62822)),f335(f110(x62821),x62822))+P106(f335(f335(f244(x62821),f335(f110(x62821),x62822)),f2(x62821))) % 209.33/209.64 [6318]E(x63181,x63182)+~E(f335(a111,x63181),f335(a111,x63182))+~P106(f335(f335(f243(a1),f2(a1)),x63182))+~P106(f335(f335(f243(a1),f2(a1)),x63181)) % 209.33/209.64 [6511]~P93(x65112)+~P122(x65112)+~P106(f335(f335(f243(x65112),f2(x65112)),f335(f110(x65112),x65111)))+P106(f335(f335(f243(a1),a89),x65111)) % 209.33/209.64 [6512]~P93(x65122)+~P122(x65122)+~P106(f335(f335(f244(x65122),f2(x65122)),f335(f110(x65122),x65121)))+P106(f335(f335(f244(a1),a89),x65121)) % 209.33/209.64 [6517]~P122(x65171)+~P93(x65171)+P106(f335(f335(f243(x65171),f335(f110(x65171),x65172)),f2(x65171)))+~P106(f335(f335(f243(a1),x65172),a89)) % 209.33/209.64 [6518]~P122(x65181)+~P93(x65181)+P106(f335(f335(f244(x65181),f335(f110(x65181),x65182)),f2(x65181)))+~P106(f335(f335(f244(a1),x65182),a89)) % 209.33/209.64 [6831]~P93(x68312)+~P122(x68312)+~P106(f335(f335(f243(x68312),f335(f110(x68312),x68311)),f2(x68312)))+P106(f335(f335(f243(a1),x68311),a89)) % 209.33/209.64 [6832]~P93(x68322)+~P122(x68322)+~P106(f335(f335(f244(x68322),f335(f110(x68322),x68321)),f2(x68322)))+P106(f335(f335(f244(a1),x68321),a89)) % 209.33/209.64 [6924]~P122(x69241)+~P93(x69241)+E(f335(f81(x69241),f335(f110(x69241),x69242)),f335(f85(x69241),f335(f110(x69241),x69242)))+~P106(f335(f335(f244(x69241),f335(f110(x69241),x69242)),f2(x69241))) % 209.33/209.64 [6942]E(f335(f110(a927),x69421),f335(f110(a927),x69422))+~E(f335(f110(a1),x69422),f2(a1))+~P106(f335(f335(f243(a1),f335(f110(a1),x69421)),f2(a1)))+~P106(f335(a200,f335(f110(a1),x69421))) % 209.33/209.64 [7811]~P108(x78112)+E(x78111,f195(f934(x78112,a922)))+~P106(f335(f66(x78112),x78111))+P106(f335(f335(f243(x78112),f11(x78112,f241(x78112),x78111)),f12(x78112,f242(x78112),x78111))) % 209.33/209.64 [8122]~P40(x81222)+~P6(x81221)+P106(f335(f335(f337(a1),x81221),x81222))+~P106(f335(f335(f337(a927),f335(a111,x81221)),f335(f318(a1,a927,a111),x81222))) % 209.33/209.64 [6091]~P140(x60912)+E(x60911,f2(a1))+E(f335(f85(x60912),f335(f109(x60912),f335(f85(a1),x60911))),f335(f109(x60912),x60911))+~P106(f335(f335(f244(a1),x60911),f2(a1))) % 209.33/209.64 [6165]~P92(x61651)+~P93(x61651)+~P28(x61651,f335(f110(x61651),x61652))+P28(x61651,f335(f110(x61651),f335(f335(f86(a1),x61652),x61652))) % 209.33/209.64 [6500]~P77(x65002)+E(x65001,f195(f934(x65002,a922)))+E(f15(x65002,f335(f318(x65002,x65002,f85(x65002)),x65001)),f335(f85(x65002),f14(x65002,x65001)))+~P106(f335(f66(x65002),x65001)) % 209.33/209.64 [6501]~P77(x65012)+E(x65011,f195(f934(x65012,a922)))+E(f14(x65012,f335(f318(x65012,x65012,f85(x65012)),x65011)),f335(f85(x65012),f15(x65012,x65011)))+~P106(f335(f66(x65012),x65011)) % 209.33/209.64 [6534]~P92(x65341)+~P93(x65341)+P28(x65341,f335(f110(x65341),x65342))+~P28(x65341,f335(f110(x65341),f335(f335(f86(a1),x65342),x65342))) % 209.33/209.64 [6624]E(x66241,f2(a1))+E(f335(a56,f55(f335(f85(a1),x66241),f335(f85(a1),x66242))),f51(x66241,x66242))+P106(f335(f335(f243(a1),f2(a1)),x66242))+~P106(f335(f335(f243(a1),f2(a1)),x66241)) % 209.33/209.64 [8900]~P40(x89002)+~P40(x89001)+P106(f335(f335(f244(f934(a927,a922)),f335(f318(a1,a927,a111),x89001)),f335(f318(a1,a927,a111),x89002)))+~P106(f335(f335(f244(f934(a1,a922)),x89001),x89002)) % 209.33/209.64 [9133]~E(f752(x91332,x91331),f753(x91332,x91331))+~P106(f335(f144(x91331),f754(x91332,x91331)))+~P106(f335(f144(f928(x91331)),x91332))+P106(f335(f144(x91331),f335(f149(f928(x91331),f928(x91331),f141(x91331),f120(x91331)),x91332))) % 209.33/209.64 [9221]~P40(x92212)+~P40(x92211)+~P106(f335(f335(f243(f934(a927,a922)),f335(f318(a1,a927,a111),x92211)),f335(f318(a1,a927,a111),x92212)))+P106(f335(f335(f243(f934(a1,a922)),x92211),x92212)) % 209.33/209.64 [9222]~P40(x92222)+~P40(x92221)+~P106(f335(f335(f244(f934(a927,a922)),f335(f318(a1,a927,a111),x92221)),f335(f318(a1,a927,a111),x92222)))+P106(f335(f335(f244(f934(a1,a922)),x92221),x92222)) % 209.33/209.64 [9228]~E(f752(x92282,x92281),f753(x92282,x92281))+~P106(f335(f144(f928(x92281)),x92282))+P106(f335(f144(x92281),f335(f149(f928(x92281),f928(x92281),f141(x92281),f120(x92281)),x92282)))+P106(f335(f335(f337(f928(x92281)),f754(x92282,x92281)),f335(f179(f928(x92281)),x92282))) % 209.33/209.64 [9269]~P106(f335(f144(x92691),f754(x92692,x92691)))+~P106(f335(f144(f928(x92691)),x92692))+P106(f335(f144(x92691),f335(f149(f928(x92691),f928(x92691),f141(x92691),f120(x92691)),x92692)))+P106(f335(f335(f337(f928(x92691)),f753(x92692,x92691)),f335(f179(f928(x92691)),x92692))) % 209.33/209.64 [9270]~P106(f335(f144(x92701),f754(x92702,x92701)))+~P106(f335(f144(f928(x92701)),x92702))+P106(f335(f144(x92701),f335(f149(f928(x92701),f928(x92701),f141(x92701),f120(x92701)),x92702)))+P106(f335(f335(f337(f928(x92701)),f752(x92702,x92701)),f335(f179(f928(x92701)),x92702))) % 209.33/209.64 [9348]~P106(f335(f144(f928(x93481)),x93482))+P106(f335(f144(x93481),f335(f149(f928(x93481),f928(x93481),f141(x93481),f120(x93481)),x93482)))+P106(f335(f335(f337(f928(x93481)),f753(x93482,x93481)),f335(f179(f928(x93481)),x93482)))+P106(f335(f335(f337(f928(x93481)),f754(x93482,x93481)),f335(f179(f928(x93481)),x93482))) % 209.33/209.64 [9349]~P106(f335(f144(f928(x93491)),x93492))+P106(f335(f144(x93491),f335(f149(f928(x93491),f928(x93491),f141(x93491),f120(x93491)),x93492)))+P106(f335(f335(f337(f928(x93491)),f752(x93492,x93491)),f335(f179(f928(x93491)),x93492)))+P106(f335(f335(f337(f928(x93491)),f754(x93492,x93491)),f335(f179(f928(x93491)),x93492))) % 209.33/209.64 [9363]~E(f335(f335(f108(f934(x93631,a922)),f335(f179(x93631),f753(x93632,x93631))),f335(f179(x93631),f752(x93632,x93631))),f195(f934(x93631,a922)))+~P106(f335(f144(x93631),f754(x93632,x93631)))+~P106(f335(f144(f928(x93631)),x93632))+P106(f335(f144(x93631),f335(f149(f928(x93631),f928(x93631),f141(x93631),f120(x93631)),x93632))) % 209.33/209.64 [9423]~E(f335(f335(f108(f934(x94231,a922)),f335(f179(x94231),f753(x94232,x94231))),f335(f179(x94231),f752(x94232,x94231))),f195(f934(x94231,a922)))+~P106(f335(f144(f928(x94231)),x94232))+P106(f335(f144(x94231),f335(f149(f928(x94231),f928(x94231),f141(x94231),f120(x94231)),x94232)))+P106(f335(f335(f337(f928(x94231)),f754(x94232,x94231)),f335(f179(f928(x94231)),x94232))) % 209.33/209.64 [9695]E(x96951,f2(a1))+E(x96952,f2(a1))+E(f335(f335(f92(a1,f933(a1,a1)),f335(f335(a226,x96952),x96951)),f335(f335(f18(a1,a1,f933(a1,a1)),f335(f335(f8(a1,f934(a1,f933(a1,a1)),a1),f260(a1,a1)),f335(f41(a1),x96952))),f335(f41(a1),x96951))),f224(x96952,x96951))+P106(f335(f335(f244(a1),x96951),f2(a1))) % 209.33/209.64 [8444]~P93(x84442)+~P122(x84442)+~P106(f335(f335(f243(x84442),f335(f110(x84442),x84441)),f84(x84442)))+P106(f335(f335(f243(a1),x84441),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))) % 209.33/209.64 [8445]~P93(x84452)+~P122(x84452)+~P106(f335(f335(f244(x84452),f335(f110(x84452),x84451)),f84(x84452)))+P106(f335(f335(f244(a1),x84451),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))) % 209.33/209.64 [8716]~P122(x87161)+~P93(x87161)+P106(f335(f335(f243(x87161),f335(f110(x87161),x87162)),f84(x87161)))+~P106(f335(f335(f243(a1),x87162),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))) % 209.33/209.64 [8717]~P122(x87171)+~P93(x87171)+P106(f335(f335(f244(x87171),f335(f110(x87171),x87172)),f84(x87171)))+~P106(f335(f335(f244(a1),x87172),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))) % 209.33/209.64 [8928]~P93(x89282)+~P122(x89282)+~P106(f335(f335(f243(x89282),f84(x89282)),f335(f110(x89282),x89281)))+P106(f335(f335(f243(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),x89281)) % 209.33/209.64 [8929]~P93(x89292)+~P122(x89292)+~P106(f335(f335(f244(x89292),f84(x89292)),f335(f110(x89292),x89291)))+P106(f335(f335(f244(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),x89291)) % 209.33/209.64 [9307]~P122(x93071)+~P93(x93071)+P106(f335(f335(f243(x93071),f84(x93071)),f335(f110(x93071),x93072)))+~P106(f335(f335(f243(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),x93072)) % 209.33/209.64 [9308]~P122(x93081)+~P93(x93081)+P106(f335(f335(f244(x93081),f84(x93081)),f335(f110(x93081),x93082)))+~P106(f335(f335(f244(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),x93082)) % 209.33/209.64 [9824]~P139(x98242)+E(x98241,f84(x98242))+E(x98241,f335(f85(x98242),f84(x98242)))+~E(f335(f335(f252(x98242),x98241),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),f84(x98242)) % 209.33/209.64 [10094]~P93(x100941)+~P67(x100941)+~P106(f335(f335(f244(x100941),f2(x100941)),x100942))+P106(f335(f335(f244(x100941),f2(x100941)),f335(f335(f299(x100941),x100942),f335(f110(x100941),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))))) % 209.33/209.64 [10148]~P93(x101481)+~P67(x101481)+P106(f335(f335(f244(x101481),f2(x101481)),x101482))+~P106(f335(f335(f244(x101481),f2(x101481)),f335(f335(f299(x101481),x101482),f335(f110(x101481),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))))) % 209.33/209.64 [10447]~P140(x104472)+E(x104471,f2(a1))+P106(f335(f335(f244(a1),x104471),f2(a1)))+E(f335(f335(f265(a1,a1,x104472),f335(f335(f7(a1,f934(a1,f934(x104472,x104472)),f934(a1,x104472)),f335(f335(f8(f934(f934(x104472,x104472),x104472),f934(f934(a1,f934(x104472,x104472)),f934(a1,x104472)),a1),f8(f934(x104472,x104472),x104472,a1)),f335(f335(f8(x104472,f934(f934(x104472,x104472),x104472),a1),f92(x104472,x104472)),f109(x104472)))),f335(f335(f7(a1,f934(x104472,x104472),f934(x104472,x104472)),f335(f335(f8(f934(x104472,f934(x104472,x104472)),f934(f934(x104472,x104472),f934(x104472,x104472)),a1),f18(x104472,x104472,x104472)),f335(f335(f7(a1,f934(x104472,x104472),f934(x104472,f934(x104472,x104472))),f335(f335(f8(f934(x104472,f934(x104472,x104472)),f934(f934(x104472,x104472),f934(x104472,f934(x104472,x104472))),a1),f8(x104472,f934(x104472,x104472),x104472)),f335(f335(f8(a922,f934(x104472,f934(x104472,x104472)),a1),f103(x104472)),f335(f335(f7(a1,a1,a922),a332),f2(a1))))),f335(f335(f18(x104472,x104472,x104472),f86(x104472)),f5(x104472))))),f335(f335(f7(x104472,x104472,x104472),f335(f335(f8(x104472,f934(x104472,x104472),x104472),f86(x104472)),f335(f335(f18(x104472,x104472,x104472),f86(x104472)),f5(x104472)))),f84(x104472))))),f51(x104471,f335(f110(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))),f335(f109(x104472),x104471)) % 209.33/209.64 [5567]~P38(x55671,x55673)+~P52(x55671,x55673)+~P53(x55671,x55672,x55673)+P8(x55671,x55672,x55673) % 209.33/209.64 [5105]~P92(x51053)+~P93(x51053)+E(x51051,x51052)+~E(f335(f110(x51053),x51051),f335(f110(x51053),x51052)) % 209.33/209.64 [5577]~P50(x55771,x55772)+~P51(x55771,x55772)+P15(x55771,x55772)+~P106(f335(f335(x55772,x55773),x55773)) % 209.33/209.64 [6071]P15(x60712,x60711)+E(f335(x60711,f831(x60711)),f335(x60711,f832(x60711)))+P106(f335(f335(x60711,f831(x60711)),f832(x60711)))+~P106(f335(f335(x60711,x60713),x60713)) % 209.33/209.64 [6270]~P106(f335(x62701,x62702))+~P106(f335(x62701,x62703))+~P106(f335(f335(f243(a927),x62703),f536(x62702,x62701)))+P106(f335(x62701,f2(a927))) % 209.33/209.64 [6337]P15(x63371,x63372)+P106(f335(f335(x63372,f831(x63372)),f831(x63372)))+P106(f335(f335(x63372,f831(x63372)),f832(x63372)))+~P106(f335(f335(x63372,x63373),x63373)) % 209.33/209.64 [6338]P15(x63381,x63382)+P106(f335(f335(x63382,f831(x63382)),f832(x63382)))+P106(f335(f335(x63382,f832(x63382)),f832(x63382)))+~P106(f335(f335(x63382,x63383),x63383)) % 209.33/209.64 [6688]P148(x66882,x66881,x66883)+E(x66881,f2(a1))+P106(f335(f335(f243(a1),f2(a1)),f868(x66883,x66881,x66882)))+P106(f335(f335(f244(a1),x66881),f2(a1))) % 209.33/209.64 [6689]P147(x66892,x66891,x66893)+E(x66891,f2(a1))+P106(f335(f335(f243(a1),f2(a1)),f874(x66893,x66891,x66892)))+P106(f335(f335(f244(a1),x66891),f2(a1))) % 209.33/209.64 [6812]P147(x68121,x68122,x68123)+~P106(f335(x68121,x68123))+P106(f335(f335(f243(a1),f2(a1)),f874(x68123,x68122,x68121)))+P106(f335(f335(f244(a1),x68122),f2(a1))) % 209.33/209.64 [6837]P148(x68371,x68372,x68373)+P106(f335(f335(f243(a1),f2(a1)),f868(x68373,x68372,x68371)))+~P106(f335(x68371,f2(a1)))+P106(f335(f335(f244(a1),x68372),f2(a1))) % 209.33/209.64 [6867]P148(x68672,x68671,x68673)+E(x68671,f2(a1))+~P106(f335(x68672,f869(x68673,x68671,x68672)))+P106(f335(f335(f244(a1),x68671),f2(a1))) % 209.33/209.64 [6868]P147(x68682,x68681,x68683)+E(x68681,f2(a1))+~P106(f335(x68682,f874(x68683,x68681,x68682)))+P106(f335(f335(f244(a1),x68681),f2(a1))) % 209.33/209.64 [6968]~P108(x69681)+~P5(x69681)+~P106(f335(f335(f244(x69681),x69682),f42(x69681,x69683)))+P106(f335(f335(f244(x69681),x69682),f580(x69683,x69682,x69681))) % 209.33/209.64 [6977]P147(x69771,x69772,x69773)+~P106(f335(x69771,x69773))+~P106(f335(x69771,f874(x69773,x69772,x69771)))+P106(f335(f335(f244(a1),x69772),f2(a1))) % 209.33/209.64 [7007]P148(x70071,x70072,x70073)+~P106(f335(x70071,f869(x70073,x70072,x70071)))+~P106(f335(x70071,f2(a1)))+P106(f335(f335(f244(a1),x70072),f2(a1))) % 209.33/209.64 [7252]P148(x72522,x72521,x72523)+E(x72521,f2(a1))+P106(f335(f335(f243(a1),f2(a1)),f868(x72523,x72521,x72522)))+P106(f335(f335(f244(a1),x72521),f867(x72523,x72521,x72522))) % 209.33/209.64 [7253]P147(x72532,x72531,x72533)+E(x72531,f2(a1))+P106(f335(f335(f243(a1),f2(a1)),f874(x72533,x72531,x72532)))+P106(f335(f335(f244(a1),x72531),f873(x72533,x72531,x72532))) % 209.33/209.64 [7372]P147(x73721,x73722,x73723)+~P106(f335(x73721,x73723))+P106(f335(f335(f243(a1),f2(a1)),f874(x73723,x73722,x73721)))+P106(f335(f335(f244(a1),x73722),f873(x73723,x73722,x73721))) % 209.33/209.64 [7391]P148(x73911,x73912,x73913)+P106(f335(f335(f243(a1),f2(a1)),f868(x73913,x73912,x73911)))+P106(f335(f335(f244(a1),x73912),f867(x73913,x73912,x73911)))+~P106(f335(x73911,f2(a1))) % 209.33/209.64 [7423]P148(x74232,x74231,x74233)+E(x74231,f2(a1))+~P106(f335(x74232,f869(x74233,x74231,x74232)))+P106(f335(f335(f244(a1),x74231),f867(x74233,x74231,x74232))) % 209.33/209.64 [7424]P147(x74242,x74241,x74243)+E(x74241,f2(a1))+~P106(f335(x74242,f874(x74243,x74241,x74242)))+P106(f335(f335(f244(a1),x74241),f873(x74243,x74241,x74242))) % 209.33/209.64 [7468]P148(x74682,x74681,x74683)+E(x74681,f2(a1))+P106(f335(f335(f243(a1),f2(a1)),f868(x74683,x74681,x74682)))+~P106(f335(x74682,f872(x74683,x74681,x74682))) % 209.33/209.64 [7469]P147(x74692,x74691,x74693)+E(x74691,f2(a1))+P106(f335(f335(f243(a1),f2(a1)),f874(x74693,x74691,x74692)))+~P106(f335(x74692,f873(x74693,x74691,x74692))) % 209.33/209.64 [7568]P147(x75681,x75682,x75683)+~P106(f335(x75681,x75683))+~P106(f335(x75681,f874(x75683,x75682,x75681)))+P106(f335(f335(f244(a1),x75682),f873(x75683,x75682,x75681))) % 209.33/209.64 [7583]P148(x75831,x75832,x75833)+~P106(f335(x75831,f869(x75833,x75832,x75831)))+P106(f335(f335(f244(a1),x75832),f867(x75833,x75832,x75831)))+~P106(f335(x75831,f2(a1))) % 209.33/209.64 [7586]P147(x75861,x75862,x75863)+~P106(f335(x75861,x75863))+P106(f335(f335(f243(a1),f2(a1)),f874(x75863,x75862,x75861)))+~P106(f335(x75861,f873(x75863,x75862,x75861))) % 209.33/209.64 [7602]P148(x76021,x76022,x76023)+P106(f335(f335(f243(a1),f2(a1)),f868(x76023,x76022,x76021)))+~P106(f335(x76021,f872(x76023,x76022,x76021)))+~P106(f335(x76021,f2(a1))) % 209.33/209.64 [7623]P148(x76232,x76231,x76233)+E(x76231,f2(a1))+~P106(f335(x76232,f869(x76233,x76231,x76232)))+~P106(f335(x76232,f872(x76233,x76231,x76232))) % 209.33/209.64 [7624]P147(x76242,x76241,x76243)+E(x76241,f2(a1))+~P106(f335(x76242,f874(x76243,x76241,x76242)))+~P106(f335(x76242,f873(x76243,x76241,x76242))) % 209.33/209.64 [7710]P147(x77101,x77102,x77103)+~P106(f335(x77101,x77103))+~P106(f335(x77101,f874(x77103,x77102,x77101)))+~P106(f335(x77101,f873(x77103,x77102,x77101))) % 209.33/209.64 [7727]P148(x77271,x77272,x77273)+~P106(f335(x77271,f869(x77273,x77272,x77271)))+~P106(f335(x77271,f872(x77273,x77272,x77271)))+~P106(f335(x77271,f2(a1))) % 209.33/209.64 [7770]P148(x77702,x77701,x77703)+E(x77701,f2(a1))+P106(f335(f335(f243(a1),f2(a1)),f868(x77703,x77701,x77702)))+P106(f335(f335(f243(a1),f867(x77703,x77701,x77702)),f2(a1))) % 209.33/209.64 [7771]P147(x77712,x77711,x77713)+E(x77711,f2(a1))+P106(f335(f335(f243(a1),f2(a1)),f874(x77713,x77711,x77712)))+P106(f335(f335(f243(a1),f873(x77713,x77711,x77712)),f2(a1))) % 209.33/209.64 [7772]~P140(x77721)+~P106(f335(f335(f337(x77721),x77723),f116(x77721)))+~P106(f335(f335(f337(x77721),x77722),f116(x77721)))+P106(f335(f335(f337(x77721),f335(f335(f23(x77721),x77722),x77723)),f116(x77721))) % 209.33/209.64 [7773]~P140(x77731)+~P106(f335(f335(f337(x77731),x77733),f116(x77731)))+~P106(f335(f335(f337(x77731),x77732),f116(x77731)))+P106(f335(f335(f337(x77731),f335(f335(f87(x77731),x77732),x77733)),f116(x77731))) % 209.33/209.64 [7774]~P146(x77741)+~P106(f335(f335(f337(x77741),x77743),f193(x77741)))+~P106(f335(f335(f337(x77741),x77742),f193(x77741)))+P106(f335(f335(f337(x77741),f335(f335(f87(x77741),x77742),x77743)),f193(x77741))) % 209.33/209.64 [7775]~P140(x77751)+~P106(f335(f335(f337(x77751),x77753),f116(x77751)))+~P106(f335(f335(f337(x77751),x77752),f116(x77751)))+P106(f335(f335(f337(x77751),f335(f335(f86(x77751),x77752),x77753)),f116(x77751))) % 209.33/209.64 [7776]~P146(x77761)+~P106(f335(f335(f337(x77761),x77763),f193(x77761)))+~P106(f335(f335(f337(x77761),x77762),f193(x77761)))+P106(f335(f335(f337(x77761),f335(f335(f86(x77761),x77762),x77763)),f193(x77761))) % 209.33/209.64 [7777]~P87(x77771)+~P106(f335(f335(f243(x77771),x77773),f2(x77771)))+~P106(f335(f335(f243(x77771),x77772),f2(x77771)))+P106(f335(f335(f243(x77771),f335(f335(f86(x77771),x77772),x77773)),f2(x77771))) % 209.33/209.64 [7778]~P87(x77781)+~P106(f335(f335(f243(x77781),x77783),f2(x77781)))+~P106(f335(f335(f244(x77781),x77782),f2(x77781)))+P106(f335(f335(f244(x77781),f335(f335(f86(x77781),x77782),x77783)),f2(x77781))) % 209.33/209.64 [7779]~P87(x77791)+~P106(f335(f335(f243(x77791),x77792),f2(x77791)))+~P106(f335(f335(f244(x77791),x77793),f2(x77791)))+P106(f335(f335(f244(x77791),f335(f335(f86(x77791),x77792),x77793)),f2(x77791))) % 209.33/209.64 [7780]~P87(x77801)+~P106(f335(f335(f244(x77801),x77803),f2(x77801)))+~P106(f335(f335(f244(x77801),x77802),f2(x77801)))+P106(f335(f335(f244(x77801),f335(f335(f86(x77801),x77802),x77803)),f2(x77801))) % 209.33/209.64 [7807]P148(x78073,x78071,x78072)+E(x78071,f2(a1))+E(f335(f335(f86(a1),f335(f335(f87(a1),x78071),f869(x78072,x78071,x78073))),f868(x78072,x78071,x78073)),x78072)+P106(f335(f335(f244(a1),x78071),f2(a1))) % 209.33/209.64 [7808]P147(x78083,x78081,x78082)+E(x78081,f2(a1))+E(f335(f335(f86(a1),f335(f335(f87(a1),x78081),f875(x78082,x78081,x78083))),f874(x78082,x78081,x78083)),x78082)+P106(f335(f335(f244(a1),x78081),f2(a1))) % 209.33/209.64 [7889]P147(x78891,x78892,x78893)+~P106(f335(x78891,x78893))+P106(f335(f335(f243(a1),f2(a1)),f874(x78893,x78892,x78891)))+P106(f335(f335(f243(a1),f873(x78893,x78892,x78891)),f2(a1))) % 209.33/209.64 [7918]P148(x79181,x79182,x79183)+P106(f335(f335(f243(a1),f2(a1)),f868(x79183,x79182,x79181)))+~P106(f335(x79181,f2(a1)))+P106(f335(f335(f243(a1),f867(x79183,x79182,x79181)),f2(a1))) % 209.33/209.64 [7927]P147(x79273,x79271,x79272)+~P106(f335(x79273,x79272))+E(f335(f335(f86(a1),f335(f335(f87(a1),x79271),f875(x79272,x79271,x79273))),f874(x79272,x79271,x79273)),x79272)+P106(f335(f335(f244(a1),x79271),f2(a1))) % 209.33/209.64 [7933]P148(x79332,x79331,x79333)+E(x79331,f2(a1))+~P106(f335(x79332,f869(x79333,x79331,x79332)))+P106(f335(f335(f243(a1),f867(x79333,x79331,x79332)),f2(a1))) % 209.33/209.64 [7934]P147(x79342,x79341,x79343)+E(x79341,f2(a1))+~P106(f335(x79342,f874(x79343,x79341,x79342)))+P106(f335(f335(f243(a1),f873(x79343,x79341,x79342)),f2(a1))) % 209.33/209.64 [7939]P148(x79393,x79391,x79392)+E(f335(f335(f86(a1),f335(f335(f87(a1),x79391),f869(x79392,x79391,x79393))),f868(x79392,x79391,x79393)),x79392)+~P106(f335(x79393,f2(a1)))+P106(f335(f335(f244(a1),x79391),f2(a1))) % 209.33/209.64 [7995]P147(x79951,x79952,x79953)+~P106(f335(x79951,x79953))+~P106(f335(x79951,f874(x79953,x79952,x79951)))+P106(f335(f335(f243(a1),f873(x79953,x79952,x79951)),f2(a1))) % 209.33/209.64 [7999]P148(x79991,x79992,x79993)+~P106(f335(x79991,f869(x79993,x79992,x79991)))+~P106(f335(x79991,f2(a1)))+P106(f335(f335(f243(a1),f867(x79993,x79992,x79991)),f2(a1))) % 209.33/209.64 [8064]~P126(x80641)+~P106(f335(f335(f243(x80641),f335(f335(f87(x80641),x80643),x80642)),f2(x80641)))+P106(f335(f335(f243(x80641),x80642),f2(x80641)))+P106(f335(f335(f243(x80641),x80643),f2(x80641))) % 209.33/209.64 [8065]~P67(x80651)+~P106(f335(f335(f243(x80651),f335(f335(f299(x80651),x80653),x80652)),f2(x80651)))+P106(f335(f335(f243(x80651),x80652),f2(x80651)))+P106(f335(f335(f243(x80651),x80653),f2(x80651))) % 209.33/209.64 [8066]~P67(x80661)+~P106(f335(f335(f244(x80661),f335(f335(f299(x80661),x80663),x80662)),f2(x80661)))+P106(f335(f335(f244(x80661),x80662),f2(x80661)))+P106(f335(f335(f244(x80661),x80663),f2(x80661))) % 209.33/209.64 [8178]P148(x81783,x81781,x81782)+E(x81781,f2(a1))+E(f335(f335(f86(a1),f335(f335(f87(a1),x81781),f869(x81782,x81781,x81783))),f868(x81782,x81781,x81783)),x81782)+P106(f335(f335(f244(a1),x81781),f867(x81782,x81781,x81783))) % 209.33/209.64 [8179]P147(x81793,x81791,x81792)+E(x81791,f2(a1))+E(f335(f335(f86(a1),f335(f335(f87(a1),x81791),f875(x81792,x81791,x81793))),f874(x81792,x81791,x81793)),x81792)+P106(f335(f335(f244(a1),x81791),f873(x81792,x81791,x81793))) % 209.33/209.64 [8192]P148(x81923,x81921,x81922)+E(x81921,f2(a1))+E(f335(f335(f86(a1),f335(f335(f87(a1),x81921),f872(x81922,x81921,x81923))),f867(x81922,x81921,x81923)),x81922)+P106(f335(f335(f243(a1),f2(a1)),f868(x81922,x81921,x81923))) % 209.33/209.64 [8193]P147(x81933,x81931,x81932)+E(x81931,f2(a1))+E(f335(f335(f86(a1),f335(f335(f87(a1),x81931),f877(x81932,x81931,x81933))),f873(x81932,x81931,x81933)),x81932)+P106(f335(f335(f243(a1),f2(a1)),f874(x81932,x81931,x81933))) % 209.33/209.64 [8235]P147(x82353,x82351,x82352)+~P106(f335(x82353,x82352))+E(f335(f335(f86(a1),f335(f335(f87(a1),x82351),f875(x82352,x82351,x82353))),f874(x82352,x82351,x82353)),x82352)+P106(f335(f335(f244(a1),x82351),f873(x82352,x82351,x82353))) % 209.33/209.64 [8244]P148(x82443,x82441,x82442)+E(f335(f335(f86(a1),f335(f335(f87(a1),x82441),f869(x82442,x82441,x82443))),f868(x82442,x82441,x82443)),x82442)+P106(f335(f335(f244(a1),x82441),f867(x82442,x82441,x82443)))+~P106(f335(x82443,f2(a1))) % 209.33/209.64 [8250]P147(x82503,x82501,x82502)+~P106(f335(x82503,x82502))+E(f335(f335(f86(a1),f335(f335(f87(a1),x82501),f877(x82502,x82501,x82503))),f873(x82502,x82501,x82503)),x82502)+P106(f335(f335(f243(a1),f2(a1)),f874(x82502,x82501,x82503))) % 209.33/209.64 [8256]P148(x82563,x82561,x82562)+E(f335(f335(f86(a1),f335(f335(f87(a1),x82561),f872(x82562,x82561,x82563))),f867(x82562,x82561,x82563)),x82562)+P106(f335(f335(f243(a1),f2(a1)),f868(x82562,x82561,x82563)))+~P106(f335(x82563,f2(a1))) % 209.33/209.64 [8267]P148(x82673,x82671,x82672)+E(x82671,f2(a1))+E(f335(f335(f86(a1),f335(f335(f87(a1),x82671),f869(x82672,x82671,x82673))),f868(x82672,x82671,x82673)),x82672)+~P106(f335(x82673,f872(x82672,x82671,x82673))) % 209.33/209.64 [8268]P147(x82683,x82681,x82682)+E(x82681,f2(a1))+E(f335(f335(f86(a1),f335(f335(f87(a1),x82681),f875(x82682,x82681,x82683))),f874(x82682,x82681,x82683)),x82682)+~P106(f335(x82683,f873(x82682,x82681,x82683))) % 209.33/209.64 [8269]P148(x82693,x82691,x82692)+E(x82691,f2(a1))+E(f335(f335(f86(a1),f335(f335(f87(a1),x82691),f872(x82692,x82691,x82693))),f867(x82692,x82691,x82693)),x82692)+~P106(f335(x82693,f869(x82692,x82691,x82693))) % 209.33/209.64 [8270]P147(x82703,x82701,x82702)+E(x82701,f2(a1))+E(f335(f335(f86(a1),f335(f335(f87(a1),x82701),f877(x82702,x82701,x82703))),f873(x82702,x82701,x82703)),x82702)+~P106(f335(x82703,f874(x82702,x82701,x82703))) % 209.33/209.64 [8329]P147(x83293,x83291,x83292)+~P106(f335(x83293,x83292))+E(f335(f335(f86(a1),f335(f335(f87(a1),x83291),f875(x83292,x83291,x83293))),f874(x83292,x83291,x83293)),x83292)+~P106(f335(x83293,f873(x83292,x83291,x83293))) % 209.33/209.64 [8330]P147(x83303,x83301,x83302)+~P106(f335(x83303,x83302))+E(f335(f335(f86(a1),f335(f335(f87(a1),x83301),f877(x83302,x83301,x83303))),f873(x83302,x83301,x83303)),x83302)+~P106(f335(x83303,f874(x83302,x83301,x83303))) % 209.33/209.64 [8340]P148(x83403,x83401,x83402)+E(f335(f335(f86(a1),f335(f335(f87(a1),x83401),f869(x83402,x83401,x83403))),f868(x83402,x83401,x83403)),x83402)+~P106(f335(x83403,f872(x83402,x83401,x83403)))+~P106(f335(x83403,f2(a1))) % 209.33/209.64 [8341]P148(x83413,x83411,x83412)+E(f335(f335(f86(a1),f335(f335(f87(a1),x83411),f872(x83412,x83411,x83413))),f867(x83412,x83411,x83413)),x83412)+~P106(f335(x83413,f869(x83412,x83411,x83413)))+~P106(f335(x83413,f2(a1))) % 209.33/209.64 [8437]P148(x84373,x84371,x84372)+E(x84371,f2(a1))+E(f335(f335(f86(a1),f335(f335(f87(a1),x84371),f869(x84372,x84371,x84373))),f868(x84372,x84371,x84373)),x84372)+P106(f335(f335(f243(a1),f867(x84372,x84371,x84373)),f2(a1))) % 209.33/209.64 [8438]P147(x84383,x84381,x84382)+E(x84381,f2(a1))+E(f335(f335(f86(a1),f335(f335(f87(a1),x84381),f875(x84382,x84381,x84383))),f874(x84382,x84381,x84383)),x84382)+P106(f335(f335(f243(a1),f873(x84382,x84381,x84383)),f2(a1))) % 209.33/209.64 [8478]P147(x84783,x84781,x84782)+~P106(f335(x84783,x84782))+E(f335(f335(f86(a1),f335(f335(f87(a1),x84781),f875(x84782,x84781,x84783))),f874(x84782,x84781,x84783)),x84782)+P106(f335(f335(f243(a1),f873(x84782,x84781,x84783)),f2(a1))) % 209.33/209.64 [8483]P148(x84833,x84831,x84832)+E(f335(f335(f86(a1),f335(f335(f87(a1),x84831),f869(x84832,x84831,x84833))),f868(x84832,x84831,x84833)),x84832)+~P106(f335(x84833,f2(a1)))+P106(f335(f335(f243(a1),f867(x84832,x84831,x84833)),f2(a1))) % 209.33/209.64 [8618]P148(x86183,x86181,x86182)+E(x86181,f2(a1))+E(f335(f335(f86(a1),f335(f335(f87(a1),x86181),f872(x86182,x86181,x86183))),f867(x86182,x86181,x86183)),x86182)+E(f335(f335(f86(a1),f335(f335(f87(a1),x86181),f869(x86182,x86181,x86183))),f868(x86182,x86181,x86183)),x86182) % 209.33/209.64 [8619]P147(x86193,x86191,x86192)+E(x86191,f2(a1))+E(f335(f335(f86(a1),f335(f335(f87(a1),x86191),f877(x86192,x86191,x86193))),f873(x86192,x86191,x86193)),x86192)+E(f335(f335(f86(a1),f335(f335(f87(a1),x86191),f875(x86192,x86191,x86193))),f874(x86192,x86191,x86193)),x86192) % 209.33/209.64 [8639]P147(x86393,x86391,x86392)+~P106(f335(x86393,x86392))+E(f335(f335(f86(a1),f335(f335(f87(a1),x86391),f877(x86392,x86391,x86393))),f873(x86392,x86391,x86393)),x86392)+E(f335(f335(f86(a1),f335(f335(f87(a1),x86391),f875(x86392,x86391,x86393))),f874(x86392,x86391,x86393)),x86392) % 209.33/209.64 [8650]P148(x86503,x86501,x86502)+E(f335(f335(f86(a1),f335(f335(f87(a1),x86501),f872(x86502,x86501,x86503))),f867(x86502,x86501,x86503)),x86502)+E(f335(f335(f86(a1),f335(f335(f87(a1),x86501),f869(x86502,x86501,x86503))),f868(x86502,x86501,x86503)),x86502)+~P106(f335(x86503,f2(a1))) % 209.33/209.64 [9316]~P126(x93161)+~E(x93163,f2(x93161))+~E(x93162,f2(x93161))+P106(f335(f335(f243(x93161),f335(f335(f86(x93161),f335(f335(f87(x93161),x93162),x93162)),f335(f335(f87(x93161),x93163),x93163))),f2(x93161))) % 209.33/209.64 [10383]~P122(x103831)+~E(x103833,f2(x103831))+~E(x103832,f2(x103831))+P106(f335(f335(f243(x103831),f335(f335(f86(x103831),f335(f335(f252(x103831),x103832),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))),f335(f335(f252(x103831),x103833),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))))),f2(x103831))) % 209.33/209.64 [5053]~E(x50533,x50531)+~P119(x50532)+E(x50531,f2(x50532))+E(f335(f335(f299(x50532),x50533),x50531),f84(x50532)) % 209.33/209.64 [5106]~P99(x51061)+~E(x51063,f250(x51061))+~E(x51062,f250(x51061))+E(f335(f335(f108(x51061),x51062),x51063),f250(x51061)) % 209.33/209.64 [5107]~P97(x51071)+~E(x51073,f195(x51071))+~E(x51072,f195(x51071))+E(f335(f335(f117(x51071),x51072),x51073),f195(x51071)) % 209.33/209.64 [5200]~P119(x52003)+E(x52001,x52002)+E(x52002,f2(x52003))+~E(f335(f335(f299(x52003),x52001),x52002),f84(x52003)) % 209.33/209.64 [5217]~P142(x52172)+E(x52171,f2(x52172))+E(x52173,f2(x52172))+~E(f335(f335(f87(x52172),x52173),x52171),f2(x52172)) % 209.33/209.64 [5219]~P134(x52192)+E(x52191,f2(x52192))+E(x52193,f2(x52192))+~E(f335(f335(f87(x52192),x52193),x52191),f2(x52192)) % 209.33/209.64 [5596]~P112(x55963)+E(x55961,x55962)+E(x55961,f335(f85(x55963),x55962))+~E(f335(f335(f87(x55963),x55961),x55961),f335(f335(f87(x55963),x55962),x55962)) % 209.33/209.64 [5634]~P90(x56341)+E(f335(f85(x56341),x56342),x56343)+~E(f335(f335(f108(x56341),x56342),x56343),f195(x56341))+~E(f335(f335(f117(x56341),x56342),x56343),f250(x56341)) % 209.33/209.64 [5714]~P122(x57143)+E(x57141,x57142)+P106(f335(f335(f244(x57143),x57142),x57141))+P106(f335(f335(f244(x57143),x57141),x57142)) % 209.33/209.64 [5715]~P108(x57153)+E(x57151,x57152)+P106(f335(f335(f244(x57153),x57152),x57151))+P106(f335(f335(f244(x57153),x57151),x57152)) % 209.33/209.64 [5716]~E(x57162,x57163)+~P108(x57161)+P106(f335(f335(f244(x57161),x57162),x57163))+P106(f335(f335(f243(x57161),x57162),x57163)) % 209.33/209.64 [5975]~P110(x59753)+E(x59751,x59752)+~P106(f335(f335(f243(x59753),x59752),x59751))+P106(f335(f335(f244(x59753),x59752),x59751)) % 209.33/209.64 [5977]~P108(x59773)+E(x59771,x59772)+~P106(f335(f335(f243(x59773),x59771),x59772))+P106(f335(f335(f244(x59773),x59771),x59772)) % 209.33/209.64 [5983]~P110(x59833)+E(x59831,x59832)+~P106(f335(f335(f243(x59833),x59831),x59832))+P106(f335(f335(f244(x59833),x59831),x59832)) % 209.33/209.64 [6088]P147(x60881,x60882,x60883)+~P106(f335(x60881,x60883))+P106(f335(f335(f244(a1),x60882),f2(a1)))+P106(f335(f335(f244(a1),f2(a1)),x60882)) % 209.33/209.64 [6138]P148(x61381,x61382,x61383)+~P106(f335(x61381,f2(a1)))+P106(f335(f335(f244(a1),x61382),f2(a1)))+P106(f335(f335(f244(a1),f2(a1)),x61382)) % 209.33/209.64 [6143]~P96(x61431)+E(f335(f335(f108(x61431),x61432),f13(x61431,x61433)),x61432)+~P106(f335(f66(x61431),x61433))+~P106(f335(f335(f337(x61431),x61432),x61433)) % 209.33/209.64 [6144]~P96(x61441)+E(f335(f335(f117(x61441),x61442),f10(x61441,x61443)),x61442)+~P106(f335(f66(x61441),x61443))+~P106(f335(f335(f337(x61441),x61442),x61443)) % 209.33/209.64 [6181]~P96(x61811)+E(f335(f335(f108(x61811),x61812),f10(x61811,x61813)),f10(x61811,x61813))+~P106(f335(f66(x61811),x61813))+~P106(f335(f335(f337(x61811),x61812),x61813)) % 209.33/209.64 [6182]~P96(x61821)+E(f335(f335(f117(x61821),x61822),f13(x61821,x61823)),f13(x61821,x61823))+~P106(f335(f66(x61821),x61823))+~P106(f335(f335(f337(x61821),x61822),x61823)) % 209.33/209.64 [6183]~P108(x61831)+E(f335(f335(f241(x61831),x61832),f14(x61831,x61833)),f14(x61831,x61833))+~P106(f335(f66(x61831),x61833))+~P106(f335(f335(f337(x61831),x61832),x61833)) % 209.33/209.64 [6184]~P108(x61841)+E(f335(f335(f242(x61841),x61842),f15(x61841,x61843)),f15(x61841,x61843))+~P106(f335(f66(x61841),x61843))+~P106(f335(f335(f337(x61841),x61842),x61843)) % 209.33/209.64 [6223]E(x62231,x62232)+~P110(x62233)+~P106(f335(f335(f243(x62233),x62232),x62231))+~P106(f335(f335(f243(x62233),x62231),x62232)) % 209.33/209.64 [6365]~P107(x63651)+P106(f335(f335(f244(x63651),x63653),x63652))+~P106(f335(f335(f243(x63651),x63653),x63652))+P106(f335(f335(f243(x63651),x63652),x63653)) % 209.33/209.64 [6392]~P108(x63921)+~P106(f335(f66(x63921),x63923))+P106(f335(f335(f243(x63921),x63922),f15(x63921,x63923)))+~P106(f335(f335(f337(x63921),x63922),x63923)) % 209.33/209.64 [6437]~P108(x64371)+E(f335(f335(f241(x64371),x64372),f12(x64371,f242(x64371),x64373)),x64372)+~P106(f335(f66(x64371),x64373))+~P106(f335(f335(f337(x64371),x64372),x64373)) % 209.33/209.64 [6438]~P108(x64381)+E(f335(f335(f242(x64381),x64382),f11(x64381,f241(x64381),x64383)),x64382)+~P106(f335(f66(x64381),x64383))+~P106(f335(f335(f337(x64381),x64382),x64383)) % 209.33/209.64 [6577]E(x65771,x65772)+~E(f335(f335(f23(a927),x65771),x65773),f335(f335(f23(a927),x65772),x65773))+~P106(f335(f335(f243(a927),x65773),x65771))+~P106(f335(f335(f243(a927),x65773),x65772)) % 209.33/209.64 [6603]~P108(x66031)+~P106(f335(f66(x66031),x66032))+~P106(f335(f335(f337(x66031),x66033),x66032))+P106(f335(f335(f243(x66031),f14(x66031,x66032)),x66033)) % 209.33/209.64 [6667]P148(x66672,x66671,x66673)+E(x66671,f2(a1))+P106(f335(f335(f244(a1),x66671),f867(x66673,x66671,x66672)))+P106(f335(f335(f244(a1),f2(a1)),x66671)) % 209.33/209.64 [6668]P147(x66682,x66681,x66683)+E(x66681,f2(a1))+P106(f335(f335(f244(a1),x66681),f873(x66683,x66681,x66682)))+P106(f335(f335(f244(a1),f2(a1)),x66681)) % 209.33/209.64 [6669]~P108(x66691)+E(f335(f335(f241(x66691),x66692),f11(x66691,f241(x66691),x66693)),f11(x66691,f241(x66691),x66693))+~P106(f335(f66(x66691),x66693))+~P106(f335(f335(f337(x66691),x66692),x66693)) % 209.33/209.64 [6670]~P108(x66701)+E(f335(f335(f242(x66701),x66702),f12(x66701,f242(x66701),x66703)),f12(x66701,f242(x66701),x66703))+~P106(f335(f66(x66701),x66703))+~P106(f335(f335(f337(x66701),x66702),x66703)) % 209.33/209.64 [6675]~P106(f335(x66751,x66752))+P106(f335(x66751,f609(x66752,x66751,x66753)))+P106(f335(x66751,f2(a927)))+~P106(f335(f335(f244(a927),x66752),x66753)) % 209.33/209.64 [6731]~P106(f335(x67311,x67312))+~P106(f335(f66(x67313),x67312))+P106(f335(x67311,f351(x67311,x67312,x67313)))+P106(f335(x67311,f195(f934(x67313,a922)))) % 209.33/209.64 [6744]~P122(x67441)+~P93(x67441)+P106(f335(f335(f243(x67441),f335(f110(x67441),x67442)),f335(f110(x67441),x67443)))+~P106(f335(f335(f243(a1),x67442),x67443)) % 209.33/209.64 [6745]~P122(x67451)+~P93(x67451)+P106(f335(f335(f244(x67451),f335(f110(x67451),x67452)),f335(f110(x67451),x67453)))+~P106(f335(f335(f244(a1),x67452),x67453)) % 209.33/209.64 [6748]~P106(f335(x67481,x67483))+~P106(f335(f66(x67482),x67483))+P106(f335(f66(x67482),f351(x67481,x67483,x67482)))+P106(f335(x67481,f195(f934(x67482,a922)))) % 209.33/209.64 [6782]P147(x67821,x67822,x67823)+~P106(f335(x67821,x67823))+P106(f335(f335(f244(a1),x67822),f873(x67823,x67822,x67821)))+P106(f335(f335(f244(a1),f2(a1)),x67822)) % 209.33/209.64 [6818]P148(x68181,x68182,x68183)+P106(f335(f335(f244(a1),x68182),f867(x68183,x68182,x68181)))+~P106(f335(x68181,f2(a1)))+P106(f335(f335(f244(a1),f2(a1)),x68182)) % 209.33/209.64 [6848]~P109(x68481)+~P94(x68481)+E(f335(f335(f241(x68481),f335(f110(x68481),x68482)),f335(f110(x68481),x68483)),f335(f110(x68481),x68483))+P106(f335(f335(f243(x68481),f335(f110(x68481),x68482)),f335(f110(x68481),x68483))) % 209.33/209.64 [6849]~P109(x68491)+~P94(x68491)+E(f335(f335(f242(x68491),f335(f110(x68491),x68492)),f335(f110(x68491),x68493)),f335(f110(x68491),x68492))+P106(f335(f335(f243(x68491),f335(f110(x68491),x68492)),f335(f110(x68491),x68493))) % 209.33/209.64 [6907]P148(x69072,x69071,x69073)+E(x69071,f2(a1))+~P106(f335(x69072,f872(x69073,x69071,x69072)))+P106(f335(f335(f244(a1),f2(a1)),x69071)) % 209.33/209.64 [6908]P147(x69082,x69081,x69083)+E(x69081,f2(a1))+~P106(f335(x69082,f873(x69083,x69081,x69082)))+P106(f335(f335(f244(a1),f2(a1)),x69081)) % 209.33/209.64 [6912]P106(f335(x69121,x69122))+~P106(f335(f66(x69123),x69122))+P106(f335(x69121,f782(x69121,x69122,x69123)))+~P106(f335(x69121,f195(f934(x69123,a922)))) % 209.33/209.64 [6933]P106(f335(x69331,x69332))+P106(f335(f66(x69333),f782(x69331,x69332,x69333)))+~P106(f335(f66(x69333),x69332))+~P106(f335(x69331,f195(f934(x69333,a922)))) % 209.33/209.64 [6996]P147(x69961,x69962,x69963)+~P106(f335(x69961,x69963))+~P106(f335(x69961,f873(x69963,x69962,x69961)))+P106(f335(f335(f244(a1),f2(a1)),x69962)) % 209.33/209.64 [7026]P148(x70261,x70262,x70263)+~P106(f335(x70261,f872(x70263,x70262,x70261)))+~P106(f335(x70261,f2(a1)))+P106(f335(f335(f244(a1),f2(a1)),x70262)) % 209.33/209.64 [7130]~P93(x71303)+~P122(x71303)+~P106(f335(f335(f243(x71303),f335(f110(x71303),x71301)),f335(f110(x71303),x71302)))+P106(f335(f335(f243(a1),x71301),x71302)) % 209.33/209.64 [7131]~P93(x71313)+~P122(x71313)+~P106(f335(f335(f244(x71313),f335(f110(x71313),x71311)),f335(f110(x71313),x71312)))+P106(f335(f335(f244(a1),x71311),x71312)) % 209.33/209.64 [7158]~P108(x71581)+~P13(x71581,x71583)+P13(x71581,f335(f335(f158(x71581),x71582),x71583))+~P106(f335(f335(f243(x71581),x71582),f734(x71583,x71582,x71581))) % 209.33/209.64 [7159]~P108(x71591)+~P13(x71591,x71593)+P13(x71591,f335(f335(f158(x71591),x71592),x71593))+~P106(f335(f335(f243(x71591),x71592),f736(x71593,x71592,x71591))) % 209.33/209.64 [7160]~P108(x71601)+~P13(x71601,x71603)+P13(x71601,f335(f335(f158(x71601),x71602),x71603))+~P106(f335(f335(f243(x71601),x71602),f774(x71602,x71603,x71601))) % 209.33/209.64 [7245]P148(x72452,x72451,x72453)+E(x72451,f2(a1))+P106(f335(f335(f244(a1),x72451),f2(a1)))+P106(f335(f335(f244(a1),f868(x72453,x72451,x72452)),x72451)) % 209.33/209.64 [7246]P147(x72462,x72461,x72463)+E(x72461,f2(a1))+P106(f335(f335(f244(a1),x72461),f2(a1)))+P106(f335(f335(f244(a1),f874(x72463,x72461,x72462)),x72461)) % 209.33/209.64 [7282]P148(x72822,x72821,x72823)+E(x72821,f2(a1))+P106(f335(f335(f243(a1),f867(x72823,x72821,x72822)),f2(a1)))+P106(f335(f335(f244(a1),f2(a1)),x72821)) % 209.33/209.64 [7283]P147(x72832,x72831,x72833)+E(x72831,f2(a1))+P106(f335(f335(f243(a1),f873(x72833,x72831,x72832)),f2(a1)))+P106(f335(f335(f244(a1),f2(a1)),x72831)) % 209.33/209.64 [7308]~P108(x73081)+~P13(x73081,x73083)+E(f335(f335(f155(x73081,x73081,f5(x73081)),x73082),f177(x73081,x73082,x73083)),x73083)+~P106(f335(f335(f337(x73081),x73082),f335(f179(x73081),x73083))) % 209.33/209.64 [7355]P147(x73551,x73552,x73553)+~P106(f335(x73551,x73553))+P106(f335(f335(f244(a1),x73552),f2(a1)))+P106(f335(f335(f244(a1),f874(x73553,x73552,x73551)),x73552)) % 209.33/209.64 [7361]~P109(x73611)+~P94(x73611)+E(f335(f335(f241(x73611),f335(f110(x73611),x73612)),f335(f110(x73611),x73613)),f335(f110(x73611),x73612))+~P106(f335(f335(f243(x73611),f335(f110(x73611),x73612)),f335(f110(x73611),x73613))) % 209.33/209.64 [7362]~P109(x73621)+~P94(x73621)+E(f335(f335(f242(x73621),f335(f110(x73621),x73622)),f335(f110(x73621),x73623)),f335(f110(x73621),x73623))+~P106(f335(f335(f243(x73621),f335(f110(x73621),x73622)),f335(f110(x73621),x73623))) % 209.33/209.64 [7376]P148(x73761,x73762,x73763)+~P106(f335(x73761,f2(a1)))+P106(f335(f335(f244(a1),x73762),f2(a1)))+P106(f335(f335(f244(a1),f868(x73763,x73762,x73761)),x73762)) % 209.33/209.64 [7384]P147(x73841,x73842,x73843)+~P106(f335(x73841,x73843))+P106(f335(f335(f243(a1),f873(x73843,x73842,x73841)),f2(a1)))+P106(f335(f335(f244(a1),f2(a1)),x73842)) % 209.33/209.64 [7408]P148(x74081,x74082,x74083)+~P106(f335(x74081,f2(a1)))+P106(f335(f335(f243(a1),f867(x74083,x74082,x74081)),f2(a1)))+P106(f335(f335(f244(a1),f2(a1)),x74082)) % 209.33/209.64 [7435]~P106(f335(x74351,x74352))+P106(f335(x74351,f2(a927)))+~P106(f335(f335(f244(a927),x74352),x74353))+P106(f335(f335(f244(a927),f609(x74352,x74351,x74353)),x74353)) % 209.33/209.64 [7452]~P108(x74521)+~P13(x74521,x74523)+P13(x74521,f335(f335(f158(x74521),x74522),x74523))+P106(f335(f335(f337(x74521),f734(x74523,x74522,x74521)),f335(f179(x74521),x74523))) % 209.33/209.64 [7453]~P108(x74531)+~P13(x74531,x74533)+P13(x74531,f335(f335(f158(x74531),x74532),x74533))+P106(f335(f335(f337(x74531),f736(x74533,x74532,x74531)),f335(f179(x74531),x74533))) % 209.33/209.64 [7454]~P108(x74541)+~P13(x74541,x74543)+P13(x74541,f335(f335(f158(x74541),x74542),x74543))+P106(f335(f335(f337(x74541),f774(x74542,x74543,x74541)),f335(f179(x74541),x74543))) % 209.33/209.64 [7572]~P108(x75721)+~P5(x75721)+~P106(f335(f335(f244(x75721),x75723),f42(x75721,x75722)))+P106(f335(f335(f337(x75721),f580(x75722,x75723,x75721)),x75722)) % 209.33/209.64 [7725]~P108(x77251)+~P5(x77251)+~P106(f335(f335(f244(x77251),f43(x77251,x77253)),x77252))+P106(f335(f335(f337(x77251),f899(x77252,x77253,x77251)),x77253)) % 209.33/209.64 [7726]~P108(x77261)+~P5(x77261)+~P106(f335(f335(f244(x77261),f43(x77261,x77263)),x77262))+P106(f335(f335(f244(x77261),f899(x77262,x77263,x77261)),x77262)) % 209.33/209.64 [7738]P148(x77382,x77381,x77383)+E(x77381,f2(a1))+P106(f335(f335(f244(a1),x77381),f867(x77383,x77381,x77382)))+P106(f335(f335(f244(a1),f868(x77383,x77381,x77382)),x77381)) % 209.33/209.64 [7739]P147(x77392,x77391,x77393)+E(x77391,f2(a1))+P106(f335(f335(f244(a1),x77391),f873(x77393,x77391,x77392)))+P106(f335(f335(f244(a1),f874(x77393,x77391,x77392)),x77391)) % 209.33/209.64 [7828]P148(x78283,x78281,x78282)+E(x78281,f2(a1))+E(f335(f335(f86(a1),f335(f335(f87(a1),x78281),f872(x78282,x78281,x78283))),f867(x78282,x78281,x78283)),x78282)+P106(f335(f335(f244(a1),f2(a1)),x78281)) % 209.33/209.64 [7829]P147(x78293,x78291,x78292)+E(x78291,f2(a1))+E(f335(f335(f86(a1),f335(f335(f87(a1),x78291),f877(x78292,x78291,x78293))),f873(x78292,x78291,x78293)),x78292)+P106(f335(f335(f244(a1),f2(a1)),x78291)) % 209.33/209.64 [7832]~P135(x78321)+~P106(f335(f335(f243(x78321),x78323),f2(x78321)))+P106(f335(f335(f243(x78321),f335(f335(f87(x78321),x78322),x78323)),f2(x78321)))+~P106(f335(f335(f243(x78321),f2(x78321)),x78322)) % 209.33/209.64 [7834]~P135(x78341)+~P106(f335(f335(f243(x78341),x78342),f2(x78341)))+P106(f335(f335(f243(x78341),f335(f335(f87(x78341),x78342),x78343)),f2(x78341)))+~P106(f335(f335(f243(x78341),f2(x78341)),x78343)) % 209.33/209.64 [7835]~P126(x78351)+~P106(f335(f335(f243(x78351),x78353),f2(x78351)))+P106(f335(f335(f243(x78351),f335(f335(f87(x78351),x78352),x78353)),f2(x78351)))+~P106(f335(f335(f243(x78351),f2(x78351)),x78352)) % 209.33/209.64 [7836]~P126(x78361)+~P106(f335(f335(f243(x78361),x78362),f2(x78361)))+P106(f335(f335(f243(x78361),f335(f335(f87(x78361),x78362),x78363)),f2(x78361)))+~P106(f335(f335(f243(x78361),f2(x78361)),x78363)) % 209.33/209.64 [7837]~P67(x78371)+~P106(f335(f335(f243(x78371),x78373),f2(x78371)))+P106(f335(f335(f243(x78371),f335(f335(f299(x78371),x78372),x78373)),f2(x78371)))+~P106(f335(f335(f243(x78371),f2(x78371)),x78372)) % 209.33/209.64 [7838]~P67(x78381)+~P106(f335(f335(f243(x78381),x78382),f2(x78381)))+P106(f335(f335(f243(x78381),f335(f335(f299(x78381),x78382),x78383)),f2(x78381)))+~P106(f335(f335(f243(x78381),f2(x78381)),x78383)) % 209.33/209.64 [7839]~P68(x78391)+~P106(f335(f335(f243(x78391),x78392),f2(x78391)))+P106(f335(f335(f243(x78391),f335(f335(f299(x78391),x78392),x78393)),f2(x78391)))+~P106(f335(f335(f244(x78391),f2(x78391)),x78393)) % 209.33/209.64 [7840]~P68(x78401)+~P106(f335(f335(f244(x78401),x78403),f2(x78401)))+P106(f335(f335(f243(x78401),f335(f335(f299(x78401),x78402),x78403)),f2(x78401)))+~P106(f335(f335(f243(x78401),f2(x78401)),x78402)) % 209.33/209.64 [7842]~P130(x78421)+~P106(f335(f335(f244(x78421),x78423),f2(x78421)))+P106(f335(f335(f244(x78421),f335(f335(f87(x78421),x78422),x78423)),f2(x78421)))+~P106(f335(f335(f244(x78421),f2(x78421)),x78422)) % 209.33/209.64 [7843]~P130(x78431)+~P106(f335(f335(f244(x78431),x78432),f2(x78431)))+P106(f335(f335(f244(x78431),f335(f335(f87(x78431),x78432),x78433)),f2(x78431)))+~P106(f335(f335(f244(x78431),f2(x78431)),x78433)) % 209.33/209.64 [7844]~P67(x78441)+~P106(f335(f335(f244(x78441),x78443),f2(x78441)))+P106(f335(f335(f244(x78441),f335(f335(f299(x78441),x78442),x78443)),f2(x78441)))+~P106(f335(f335(f244(x78441),f2(x78441)),x78442)) % 209.33/209.64 [7845]~P67(x78451)+~P106(f335(f335(f244(x78451),x78452),f2(x78451)))+P106(f335(f335(f244(x78451),f335(f335(f299(x78451),x78452),x78453)),f2(x78451)))+~P106(f335(f335(f244(x78451),f2(x78451)),x78453)) % 209.33/209.64 [7846]~P68(x78461)+~P106(f335(f335(f244(x78461),x78463),f2(x78461)))+P106(f335(f335(f244(x78461),f335(f335(f299(x78461),x78462),x78463)),f2(x78461)))+~P106(f335(f335(f244(x78461),f2(x78461)),x78462)) % 209.33/209.64 [7847]~P68(x78471)+~P106(f335(f335(f244(x78471),x78472),f2(x78471)))+P106(f335(f335(f244(x78471),f335(f335(f299(x78471),x78472),x78473)),f2(x78471)))+~P106(f335(f335(f244(x78471),f2(x78471)),x78473)) % 209.33/209.64 [7862]P147(x78621,x78622,x78623)+~P106(f335(x78621,x78623))+P106(f335(f335(f244(a1),x78622),f873(x78623,x78622,x78621)))+P106(f335(f335(f244(a1),f874(x78623,x78622,x78621)),x78622)) % 209.33/209.64 [7875]P148(x78751,x78752,x78753)+P106(f335(f335(f244(a1),x78752),f867(x78753,x78752,x78751)))+~P106(f335(x78751,f2(a1)))+P106(f335(f335(f244(a1),f868(x78753,x78752,x78751)),x78752)) % 209.33/209.64 [7925]P148(x79252,x79251,x79253)+E(x79251,f2(a1))+~P106(f335(x79252,f872(x79253,x79251,x79252)))+P106(f335(f335(f244(a1),f868(x79253,x79251,x79252)),x79251)) % 209.33/209.64 [7926]P147(x79262,x79261,x79263)+E(x79261,f2(a1))+~P106(f335(x79262,f873(x79263,x79261,x79262)))+P106(f335(f335(f244(a1),f874(x79263,x79261,x79262)),x79261)) % 209.33/209.64 [7936]P147(x79363,x79361,x79362)+~P106(f335(x79363,x79362))+E(f335(f335(f86(a1),f335(f335(f87(a1),x79361),f877(x79362,x79361,x79363))),f873(x79362,x79361,x79363)),x79362)+P106(f335(f335(f244(a1),f2(a1)),x79361)) % 209.33/209.64 [7951]P148(x79513,x79511,x79512)+E(f335(f335(f86(a1),f335(f335(f87(a1),x79511),f872(x79512,x79511,x79513))),f867(x79512,x79511,x79513)),x79512)+~P106(f335(x79513,f2(a1)))+P106(f335(f335(f244(a1),f2(a1)),x79511)) % 209.33/209.64 [7979]~P106(f335(x79791,x79793))+~P106(f335(f66(x79792),x79793))+P106(f335(f335(f337(x79792),f352(x79791,x79793,x79792)),f351(x79791,x79793,x79792)))+P106(f335(x79791,f195(f934(x79792,a922)))) % 209.33/209.64 [7990]P147(x79901,x79902,x79903)+~P106(f335(x79901,x79903))+~P106(f335(x79901,f873(x79903,x79902,x79901)))+P106(f335(f335(f244(a1),f874(x79903,x79902,x79901)),x79902)) % 209.33/209.64 [7996]P148(x79961,x79962,x79963)+~P106(f335(x79961,f872(x79963,x79962,x79961)))+~P106(f335(x79961,f2(a1)))+P106(f335(f335(f244(a1),f868(x79963,x79962,x79961)),x79962)) % 209.33/209.64 [8095]~P126(x80951)+~P106(f335(f335(f243(x80951),f335(f335(f87(x80951),x80953),x80952)),f2(x80951)))+P106(f335(f335(f243(x80951),x80952),f2(x80951)))+P106(f335(f335(f243(x80951),f2(x80951)),x80952)) % 209.33/209.64 [8096]~P126(x80961)+~P106(f335(f335(f243(x80961),f335(f335(f87(x80961),x80962),x80963)),f2(x80961)))+P106(f335(f335(f243(x80961),x80962),f2(x80961)))+P106(f335(f335(f243(x80961),f2(x80961)),x80962)) % 209.33/209.64 [8097]~P67(x80971)+~P106(f335(f335(f243(x80971),f335(f335(f299(x80971),x80973),x80972)),f2(x80971)))+P106(f335(f335(f243(x80971),x80972),f2(x80971)))+P106(f335(f335(f243(x80971),f2(x80971)),x80972)) % 209.33/209.64 [8098]~P67(x80981)+~P106(f335(f335(f243(x80981),f335(f335(f299(x80981),x80982),x80983)),f2(x80981)))+P106(f335(f335(f243(x80981),x80982),f2(x80981)))+P106(f335(f335(f243(x80981),f2(x80981)),x80982)) % 209.33/209.64 [8099]~P67(x80991)+~P106(f335(f335(f244(x80991),f335(f335(f299(x80991),x80993),x80992)),f2(x80991)))+P106(f335(f335(f244(x80991),x80992),f2(x80991)))+P106(f335(f335(f244(x80991),f2(x80991)),x80992)) % 209.33/209.64 [8100]~P67(x81001)+~P106(f335(f335(f244(x81001),f335(f335(f299(x81001),x81002),x81003)),f2(x81001)))+P106(f335(f335(f244(x81001),x81002),f2(x81001)))+P106(f335(f335(f244(x81001),f2(x81001)),x81002)) % 209.33/209.64 [8123]~P126(x81231)+~P106(f335(f335(f243(x81231),f335(f335(f87(x81231),x81232),x81233)),f2(x81231)))+P106(f335(f335(f243(x81231),f2(x81231)),x81232))+P106(f335(f335(f243(x81231),f2(x81231)),x81233)) % 209.33/209.64 [8124]~P67(x81241)+~P106(f335(f335(f243(x81241),f335(f335(f299(x81241),x81242),x81243)),f2(x81241)))+P106(f335(f335(f243(x81241),f2(x81241)),x81242))+P106(f335(f335(f243(x81241),f2(x81241)),x81243)) % 209.33/209.64 [8125]~P67(x81251)+~P106(f335(f335(f244(x81251),f335(f335(f299(x81251),x81252),x81253)),f2(x81251)))+P106(f335(f335(f244(x81251),f2(x81251)),x81252))+P106(f335(f335(f244(x81251),f2(x81251)),x81253)) % 209.33/209.64 [8147]P148(x81472,x81471,x81473)+E(x81471,f2(a1))+P106(f335(f335(f243(a1),f867(x81473,x81471,x81472)),f2(a1)))+P106(f335(f335(f244(a1),f868(x81473,x81471,x81472)),x81471)) % 209.33/209.64 [8148]P147(x81482,x81481,x81483)+E(x81481,f2(a1))+P106(f335(f335(f243(a1),f873(x81483,x81481,x81482)),f2(a1)))+P106(f335(f335(f244(a1),f874(x81483,x81481,x81482)),x81481)) % 209.33/209.64 [8155]~P125(x81551)+~P106(f335(f335(f244(x81551),x81552),f84(x81551)))+P106(f335(f335(f244(x81551),f335(f335(f252(x81551),x81552),f335(a119,x81553))),f84(x81551)))+~P106(f335(f335(f244(x81551),f2(x81551)),x81552)) % 209.33/209.64 [8209]~P108(x82091)+~E(x82093,f120(x82091))+~P13(x82091,f335(f175(x82091),x82093))+E(f335(f149(x82091,x82091,f335(f7(x82091,x82091,x82091),f242(x82091)),x82092),f335(f175(x82091),x82093)),x82092) % 209.33/209.64 [8212]P147(x82121,x82122,x82123)+~P106(f335(x82121,x82123))+P106(f335(f335(f243(a1),f873(x82123,x82122,x82121)),f2(a1)))+P106(f335(f335(f244(a1),f874(x82123,x82122,x82121)),x82122)) % 209.33/209.64 [8219]P148(x82191,x82192,x82193)+~P106(f335(x82191,f2(a1)))+P106(f335(f335(f243(a1),f867(x82193,x82192,x82191)),f2(a1)))+P106(f335(f335(f244(a1),f868(x82193,x82192,x82191)),x82192)) % 209.33/209.64 [8432]P148(x84323,x84321,x84322)+E(x84321,f2(a1))+E(f335(f335(f86(a1),f335(f335(f87(a1),x84321),f872(x84322,x84321,x84323))),f867(x84322,x84321,x84323)),x84322)+P106(f335(f335(f244(a1),f868(x84322,x84321,x84323)),x84321)) % 209.33/209.64 [8433]P147(x84333,x84331,x84332)+E(x84331,f2(a1))+E(f335(f335(f86(a1),f335(f335(f87(a1),x84331),f877(x84332,x84331,x84333))),f873(x84332,x84331,x84333)),x84332)+P106(f335(f335(f244(a1),f874(x84332,x84331,x84333)),x84331)) % 209.33/209.64 [8469]P147(x84693,x84691,x84692)+~P106(f335(x84693,x84692))+E(f335(f335(f86(a1),f335(f335(f87(a1),x84691),f877(x84692,x84691,x84693))),f873(x84692,x84691,x84693)),x84692)+P106(f335(f335(f244(a1),f874(x84692,x84691,x84693)),x84691)) % 209.33/209.64 [8470]~P71(x84701)+~P75(x84701)+~P40(x84703)+E(f335(f335(f6(a927,x84701),f335(f335(f8(a1,x84701,a927),x84702),f107(a1))),f335(f318(a1,a927,a111),x84703)),f335(f335(f6(a1,x84701),x84702),x84703)) % 209.33/209.64 [8471]~P71(x84711)+~P75(x84711)+~P40(x84713)+E(f335(f335(f9(a927,x84711),f335(f335(f8(a1,x84711,a927),x84712),f107(a1))),f335(f318(a1,a927,a111),x84713)),f335(f335(f9(a1,x84711),x84712),x84713)) % 209.33/209.64 [8480]P148(x84803,x84801,x84802)+E(f335(f335(f86(a1),f335(f335(f87(a1),x84801),f872(x84802,x84801,x84803))),f867(x84802,x84801,x84803)),x84802)+~P106(f335(x84803,f2(a1)))+P106(f335(f335(f244(a1),f868(x84802,x84801,x84803)),x84801)) % 209.33/209.64 [8503]~E(x85032,f2(a927))+~E(f335(f259(a927,a927),x85033),f2(a927))+~E(x85031,f335(f335(f86(a927),f335(f335(f87(a927),f335(f259(a927,a927),x85033)),x85032)),f335(f264(a927,a927),x85033)))+P106(f335(f53(x85031,x85032),x85033)) % 209.33/209.64 [8559]P106(f335(x85591,x85592))+~P106(f335(f335(f337(x85593),f788(x85591,x85592,x85593)),f782(x85591,x85592,x85593)))+~P106(f335(f66(x85593),x85592))+~P106(f335(x85591,f195(f934(x85593,a922)))) % 209.33/209.64 [9187]P106(f335(x91871,x91872))+~P106(f335(f66(x91873),x91872))+~P106(f335(x91871,f335(f335(f317(x91873),f788(x91871,x91872,x91873)),f782(x91871,x91872,x91873))))+~P106(f335(x91871,f195(f934(x91873,a922)))) % 209.33/209.64 [9418]P106(f335(f335(f243(a1),x94181),f2(a1)))+~P106(f335(f335(f244(a1),f335(f335(f86(a1),f335(f335(f87(a1),x94183),x94181)),x94182)),f2(a1)))+~P106(f335(f335(f243(a1),f2(a1)),x94182))+~P106(f335(f335(f244(a1),f2(a1)),x94183)) % 209.33/209.64 [6045]~P96(x60452)+E(x60451,f195(f934(x60452,a922)))+~P106(f335(f66(x60452),x60451))+E(f13(x60452,f335(f335(f317(x60452),x60453),x60451)),f335(f335(f117(x60452),x60453),f13(x60452,x60451))) % 209.33/209.64 [6046]~P96(x60462)+E(x60461,f195(f934(x60462,a922)))+~P106(f335(f66(x60462),x60461))+E(f10(x60462,f335(f335(f317(x60462),x60463),x60461)),f335(f335(f108(x60462),x60463),f10(x60462,x60461))) % 209.33/209.64 [6047]~P108(x60472)+E(x60471,f195(f934(x60472,a922)))+~P106(f335(f66(x60472),x60471))+E(f14(x60472,f335(f335(f317(x60472),x60473),x60471)),f335(f335(f241(x60472),x60473),f14(x60472,x60471))) % 209.33/209.64 [6048]~P108(x60482)+E(x60481,f195(f934(x60482,a922)))+~P106(f335(f66(x60482),x60481))+E(f15(x60482,f335(f335(f317(x60482),x60483),x60481)),f335(f335(f242(x60482),x60483),f15(x60482,x60481))) % 209.33/209.64 [6362]~P126(x63621)+~E(x63623,f2(x63621))+~E(x63622,f2(x63621))+E(f335(f335(f86(x63621),f335(f335(f87(x63621),x63622),x63622)),f335(f335(f87(x63621),x63623),x63623)),f2(x63621)) % 209.33/209.64 [6430]~P95(x64302)+E(x64301,f195(f934(x64302,a922)))+~P106(f335(f66(x64302),x64301))+E(f335(f68(x64302,f87(x64302)),f335(f335(f317(x64302),x64303),x64301)),f335(f335(f87(x64302),x64303),f335(f68(x64302,f87(x64302)),x64301))) % 209.33/209.64 [6554]~P108(x65542)+E(x65541,f195(f934(x65542,a922)))+~P106(f335(f66(x65542),x65541))+E(f11(x65542,f241(x65542),f335(f335(f317(x65542),x65543),x65541)),f335(f335(f241(x65542),x65543),f11(x65542,f241(x65542),x65541))) % 209.33/209.64 [6555]~P108(x65552)+E(x65551,f195(f934(x65552,a922)))+~P106(f335(f66(x65552),x65551))+E(f12(x65552,f242(x65552),f335(f335(f317(x65552),x65553),x65551)),f335(f335(f242(x65552),x65553),f12(x65552,f242(x65552),x65551))) % 209.33/209.64 [7060]~P69(x70601)+~P106(f335(f66(x70601),x70603))+E(f335(f68(x70601,f87(x70601)),f335(f335(f317(x70601),x70602),x70603)),f335(f335(f69(x70601,x70601,f87(x70601)),x70602),x70603))+P106(f335(f335(f337(x70601),x70602),x70603)) % 209.33/209.64 [7137]~E(f335(f335(f86(a1),x71372),f335(f335(f87(a1),x71373),x71371)),x71373)+~P106(f335(f335(f244(a1),f2(a1)),x71373))+P106(f335(f335(f243(a1),f84(a1)),x71371))+~P106(f335(f335(f244(a1),x71372),x71373)) % 209.33/209.64 [7165]~E(f335(f335(f86(a1),x71652),f335(f335(f87(a1),x71653),x71651)),x71653)+P106(f335(f335(f243(a1),x71651),f84(a1)))+~P106(f335(f335(f243(a1),f2(a1)),x71652))+~P106(f335(f335(f244(a1),f2(a1)),x71653)) % 209.33/209.64 [7181]E(x71811,f2(a927))+~P106(f335(f53(x71813,x71811),x71812))+~P106(f335(f335(f244(a927),f2(a927)),x71811))+P106(f335(f335(f244(a927),f335(f264(a927,a927),x71812)),x71811)) % 209.33/209.64 [7213]~P138(x72131)+~P106(f335(f335(f243(x72131),x72132),f2(x72131)))+~P106(f335(f335(f243(x72131),x72133),f2(x72131)))+E(f335(f335(f87(x72131),f335(f81(x72131),x72132)),f335(f81(x72131),x72133)),f335(f81(x72131),f335(f335(f87(x72131),x72132),x72133))) % 209.33/209.64 [7259]~P138(x72591)+~P106(f335(f335(f243(x72591),x72592),f2(x72591)))+E(f335(f335(f87(x72591),f335(f81(x72591),x72592)),f335(f81(x72591),x72593)),f335(f81(x72591),f335(f335(f87(x72591),x72592),x72593)))+~P106(f335(f335(f243(x72591),f2(x72591)),x72593)) % 209.33/209.64 [7260]~P138(x72601)+~P106(f335(f335(f243(x72601),x72603),f2(x72601)))+E(f335(f335(f87(x72601),f335(f81(x72601),x72602)),f335(f81(x72601),x72603)),f335(f81(x72601),f335(f335(f87(x72601),x72602),x72603)))+~P106(f335(f335(f243(x72601),f2(x72601)),x72602)) % 209.33/209.64 [7316]~P138(x73161)+E(f335(f335(f87(x73161),f335(f81(x73161),x73162)),f335(f81(x73161),x73163)),f335(f81(x73161),f335(f335(f87(x73161),x73162),x73163)))+~P106(f335(f335(f243(x73161),f2(x73161)),x73162))+~P106(f335(f335(f243(x73161),f2(x73161)),x73163)) % 209.33/209.64 [7333]~P128(x73331)+~P106(f335(f335(f243(x73331),x73333),f2(x73331)))+~P106(f335(f335(f243(x73331),x73332),f2(x73331)))+P106(f335(f335(f243(x73331),f2(x73331)),f335(f335(f87(x73331),x73332),x73333))) % 209.33/209.64 [7334]~P126(x73341)+~P106(f335(f335(f243(x73341),x73343),f2(x73341)))+~P106(f335(f335(f243(x73341),x73342),f2(x73341)))+P106(f335(f335(f243(x73341),f2(x73341)),f335(f335(f87(x73341),x73342),x73343))) % 209.33/209.64 [7335]~P67(x73351)+~P106(f335(f335(f243(x73351),x73353),f2(x73351)))+~P106(f335(f335(f243(x73351),x73352),f2(x73351)))+P106(f335(f335(f243(x73351),f2(x73351)),f335(f335(f299(x73351),x73352),x73353))) % 209.33/209.64 [7336]~P68(x73361)+~P106(f335(f335(f244(x73361),x73363),f2(x73361)))+~P106(f335(f335(f243(x73361),x73362),f2(x73361)))+P106(f335(f335(f243(x73361),f2(x73361)),f335(f335(f299(x73361),x73362),x73363))) % 209.33/209.64 [7337]~P126(x73371)+~P106(f335(f335(f244(x73371),x73373),f2(x73371)))+~P106(f335(f335(f244(x73371),x73372),f2(x73371)))+P106(f335(f335(f244(x73371),f2(x73371)),f335(f335(f87(x73371),x73372),x73373))) % 209.33/209.64 [7338]~P67(x73381)+~P106(f335(f335(f244(x73381),x73383),f2(x73381)))+~P106(f335(f335(f244(x73381),x73382),f2(x73381)))+P106(f335(f335(f244(x73381),f2(x73381)),f335(f335(f299(x73381),x73382),x73383))) % 209.33/209.64 [7339]~P68(x73391)+~P106(f335(f335(f244(x73391),x73393),f2(x73391)))+~P106(f335(f335(f244(x73391),x73392),f2(x73391)))+P106(f335(f335(f244(x73391),f2(x73391)),f335(f335(f299(x73391),x73392),x73393))) % 209.33/209.64 [7340]~P125(x73401)+~P106(f335(f335(f244(a927),f2(a927)),x73403))+~P106(f335(f335(f244(x73401),f84(x73401)),x73402))+P106(f335(f335(f244(x73401),f84(x73401)),f335(f335(f252(x73401),x73402),x73403))) % 209.33/209.64 [7436]~P128(x74361)+~P106(f335(f335(f243(x74361),f2(x74361)),x74363))+~P106(f335(f335(f243(x74361),f2(x74361)),x74362))+P106(f335(f335(f243(x74361),f2(x74361)),f335(f335(f87(x74361),x74362),x74363))) % 209.33/209.64 [7437]~P135(x74371)+~P106(f335(f335(f243(x74371),f2(x74371)),x74373))+~P106(f335(f335(f243(x74371),f2(x74371)),x74372))+P106(f335(f335(f243(x74371),f2(x74371)),f335(f335(f87(x74371),x74372),x74373))) % 209.33/209.64 [7438]~P126(x74381)+~P106(f335(f335(f243(x74381),f2(x74381)),x74383))+~P106(f335(f335(f243(x74381),f2(x74381)),x74382))+P106(f335(f335(f243(x74381),f2(x74381)),f335(f335(f87(x74381),x74382),x74383))) % 209.33/209.64 [7440]~P67(x74401)+~P106(f335(f335(f243(x74401),f2(x74401)),x74403))+~P106(f335(f335(f243(x74401),f2(x74401)),x74402))+P106(f335(f335(f243(x74401),f2(x74401)),f335(f335(f299(x74401),x74402),x74403))) % 209.33/209.64 [7441]~P68(x74411)+~P106(f335(f335(f244(x74411),f2(x74411)),x74413))+~P106(f335(f335(f243(x74411),f2(x74411)),x74412))+P106(f335(f335(f243(x74411),f2(x74411)),f335(f335(f299(x74411),x74412),x74413))) % 209.33/209.64 [7442]~P125(x74421)+~P106(f335(f335(f244(x74421),f84(x74421)),x74423))+~P106(f335(f335(f244(x74421),f84(x74421)),x74422))+P106(f335(f335(f244(x74421),f84(x74421)),f335(f335(f87(x74421),x74422),x74423))) % 209.33/209.64 [7443]~P130(x74431)+~P106(f335(f335(f244(x74431),f2(x74431)),x74433))+~P106(f335(f335(f244(x74431),f2(x74431)),x74432))+P106(f335(f335(f244(x74431),f2(x74431)),f335(f335(f87(x74431),x74432),x74433))) % 209.33/209.64 [7446]~P87(x74461)+~P106(f335(f335(f244(x74461),f2(x74461)),x74463))+~P106(f335(f335(f244(x74461),f2(x74461)),x74462))+P106(f335(f335(f244(x74461),f2(x74461)),f335(f335(f86(x74461),x74462),x74463))) % 209.33/209.64 [7447]~P67(x74471)+~P106(f335(f335(f244(x74471),f2(x74471)),x74473))+~P106(f335(f335(f244(x74471),f2(x74471)),x74472))+P106(f335(f335(f244(x74471),f2(x74471)),f335(f335(f299(x74471),x74472),x74473))) % 209.33/209.64 [7448]~P68(x74481)+~P106(f335(f335(f244(x74481),f2(x74481)),x74483))+~P106(f335(f335(f244(x74481),f2(x74481)),x74482))+P106(f335(f335(f244(x74481),f2(x74481)),f335(f335(f299(x74481),x74482),x74483))) % 209.33/209.64 [7529]~P96(x75291)+~P106(f335(f66(x75291),x75293))+E(f13(x75291,f335(f335(f317(x75291),x75292),x75293)),x75292)+~E(f335(f335(f23(f934(x75291,a922)),x75293),f335(f335(f317(x75291),x75292),f195(f934(x75291,a922)))),f195(f934(x75291,a922))) % 209.33/209.64 [7530]~P96(x75301)+~P106(f335(f66(x75301),x75303))+E(f10(x75301,f335(f335(f317(x75301),x75302),x75303)),x75302)+~E(f335(f335(f23(f934(x75301,a922)),x75303),f335(f335(f317(x75301),x75302),f195(f934(x75301,a922)))),f195(f934(x75301,a922))) % 209.33/209.64 [7531]~P108(x75311)+~P106(f335(f66(x75311),x75313))+E(f14(x75311,f335(f335(f317(x75311),x75312),x75313)),x75312)+~E(f335(f335(f23(f934(x75311,a922)),x75313),f335(f335(f317(x75311),x75312),f195(f934(x75311,a922)))),f195(f934(x75311,a922))) % 209.33/209.64 [7532]~P108(x75321)+~P106(f335(f66(x75321),x75323))+E(f15(x75321,f335(f335(f317(x75321),x75322),x75323)),x75322)+~E(f335(f335(f23(f934(x75321,a922)),x75323),f335(f335(f317(x75321),x75322),f195(f934(x75321,a922)))),f195(f934(x75321,a922))) % 209.33/209.64 [7534]~P126(x75341)+P106(f335(f335(f243(x75341),x75342),f2(x75341)))+P106(f335(f335(f243(x75341),f2(x75341)),x75343))+~P106(f335(f335(f243(x75341),f2(x75341)),f335(f335(f87(x75341),x75343),x75342))) % 209.33/209.64 [7535]~P126(x75351)+P106(f335(f335(f243(x75351),x75352),f2(x75351)))+P106(f335(f335(f243(x75351),f2(x75351)),x75353))+~P106(f335(f335(f243(x75351),f2(x75351)),f335(f335(f87(x75351),x75352),x75353))) % 209.33/209.64 [7536]~P67(x75361)+P106(f335(f335(f243(x75361),x75362),f2(x75361)))+P106(f335(f335(f243(x75361),f2(x75361)),x75363))+~P106(f335(f335(f243(x75361),f2(x75361)),f335(f335(f299(x75361),x75363),x75362))) % 209.33/209.64 [7537]~P67(x75371)+P106(f335(f335(f243(x75371),x75372),f2(x75371)))+P106(f335(f335(f243(x75371),f2(x75371)),x75373))+~P106(f335(f335(f243(x75371),f2(x75371)),f335(f335(f299(x75371),x75372),x75373))) % 209.33/209.64 [7538]~P126(x75381)+P106(f335(f335(f243(x75381),x75382),f2(x75381)))+P106(f335(f335(f243(x75381),f2(x75381)),x75382))+~P106(f335(f335(f243(x75381),f2(x75381)),f335(f335(f87(x75381),x75383),x75382))) % 209.33/209.64 [7539]~P126(x75391)+P106(f335(f335(f243(x75391),x75392),f2(x75391)))+P106(f335(f335(f243(x75391),f2(x75391)),x75392))+~P106(f335(f335(f243(x75391),f2(x75391)),f335(f335(f87(x75391),x75392),x75393))) % 209.33/209.64 [7540]~P67(x75401)+P106(f335(f335(f243(x75401),x75402),f2(x75401)))+P106(f335(f335(f243(x75401),f2(x75401)),x75402))+~P106(f335(f335(f243(x75401),f2(x75401)),f335(f335(f299(x75401),x75403),x75402))) % 209.33/209.64 [7541]~P67(x75411)+P106(f335(f335(f243(x75411),x75412),f2(x75411)))+P106(f335(f335(f243(x75411),f2(x75411)),x75412))+~P106(f335(f335(f243(x75411),f2(x75411)),f335(f335(f299(x75411),x75412),x75413))) % 209.33/209.64 [7542]~P67(x75421)+P106(f335(f335(f244(x75421),x75422),f2(x75421)))+P106(f335(f335(f244(x75421),f2(x75421)),x75423))+~P106(f335(f335(f244(x75421),f2(x75421)),f335(f335(f299(x75421),x75423),x75422))) % 209.33/209.64 [7543]~P67(x75431)+P106(f335(f335(f244(x75431),x75432),f2(x75431)))+P106(f335(f335(f244(x75431),f2(x75431)),x75433))+~P106(f335(f335(f244(x75431),f2(x75431)),f335(f335(f299(x75431),x75432),x75433))) % 209.33/209.64 [7544]~P67(x75441)+P106(f335(f335(f244(x75441),x75442),f2(x75441)))+P106(f335(f335(f244(x75441),f2(x75441)),x75442))+~P106(f335(f335(f244(x75441),f2(x75441)),f335(f335(f299(x75441),x75443),x75442))) % 209.33/209.64 [7545]~P67(x75451)+P106(f335(f335(f244(x75451),x75452),f2(x75451)))+P106(f335(f335(f244(x75451),f2(x75451)),x75452))+~P106(f335(f335(f244(x75451),f2(x75451)),f335(f335(f299(x75451),x75452),x75453))) % 209.33/209.64 [7631]~E(f335(f335(f108(f934(x76311,a922)),f335(f179(x76311),x76312)),f335(f179(x76311),x76313)),f195(f934(x76311,a922)))+~P106(f335(f144(x76311),x76313))+~P106(f335(f144(x76311),x76312))+P106(f335(f144(x76311),f335(f335(f141(x76311),x76312),x76313))) % 209.33/209.64 [7632]~P108(x76321)+~P106(f335(f66(x76321),x76323))+E(f11(x76321,f241(x76321),f335(f335(f317(x76321),x76322),x76323)),x76322)+~E(f335(f335(f23(f934(x76321,a922)),x76323),f335(f335(f317(x76321),x76322),f195(f934(x76321,a922)))),f195(f934(x76321,a922))) % 209.33/209.64 [7633]~P108(x76331)+~P106(f335(f66(x76331),x76333))+E(f12(x76331,f242(x76331),f335(f335(f317(x76331),x76332),x76333)),x76332)+~E(f335(f335(f23(f934(x76331,a922)),x76333),f335(f335(f317(x76331),x76332),f195(f934(x76331,a922)))),f195(f934(x76331,a922))) % 209.33/209.64 [7647]~P85(x76471)+~P106(f335(f335(f243(x76471),x76472),x76473))+~P106(f335(f335(f243(x76471),f335(f85(x76471),x76472)),x76473))+P106(f335(f335(f243(x76471),f335(f81(x76471),x76472)),x76473)) % 209.33/209.64 [7648]~P122(x76481)+~P106(f335(f335(f244(x76481),x76482),x76483))+~P106(f335(f335(f244(x76481),f335(f85(x76481),x76482)),x76483))+P106(f335(f335(f244(x76481),f335(f81(x76481),x76482)),x76483)) % 209.33/209.64 [7715]~P130(x77151)+P106(f335(f335(f244(x77151),f2(x77151)),x77152))+~P106(f335(f335(f244(x77151),f2(x77151)),x77153))+~P106(f335(f335(f244(x77151),f2(x77151)),f335(f335(f87(x77151),x77153),x77152))) % 209.33/209.64 [7716]~P130(x77161)+P106(f335(f335(f244(x77161),f2(x77161)),x77162))+~P106(f335(f335(f244(x77161),f2(x77161)),x77163))+~P106(f335(f335(f244(x77161),f2(x77161)),f335(f335(f87(x77161),x77162),x77163))) % 209.33/209.64 [8010]E(x80101,x80102)+~P106(f335(f66(x80103),x80101))+~P106(f335(f335(f243(a927),f335(f40(x80103),x80101)),f335(f40(x80103),x80102)))+~P106(f335(f335(f243(f934(x80103,a922)),x80102),x80101)) % 209.33/209.64 [8152]~P106(f335(f335(f244(a1),x81521),f2(a1)))+~P106(f335(f335(f244(a1),f2(a1)),x81522))+~P106(f335(f335(f243(a1),x81522),x81523))+P106(f335(f335(f243(a1),f335(f335(f41(a1),x81521),x81522)),f335(f335(f41(a1),x81521),x81523))) % 209.33/209.64 [8162]~P106(f335(f335(f243(a1),f2(a1)),x81621))+~P106(f335(f335(f244(a1),f2(a1)),x81623))+~P106(f335(f335(f243(a1),x81623),x81622))+P106(f335(f335(f243(a1),f335(f335(f41(a1),x81621),x81622)),f335(f335(f41(a1),x81621),x81623))) % 209.33/209.64 [8297]E(f335(x82971,f560(x82972,x82971,x82973)),x82972)+~P106(f335(f335(f243(a1),x82972),f335(x82971,x82973)))+P106(f335(f335(f244(a927),f561(x82972,x82971,x82973)),x82973))+~P106(f335(f335(f243(a1),f335(x82971,f2(a927))),x82972)) % 209.33/209.64 [8298]E(f335(x82981,f565(x82982,x82981,x82983)),x82982)+~P106(f335(f335(f243(a1),x82982),f335(x82981,x82983)))+P106(f335(f335(f244(a927),f566(x82982,x82981,x82983)),x82983))+~P106(f335(f335(f243(a1),f335(x82981,f2(a927))),x82982)) % 209.33/209.64 [8395]~P106(f335(f66(x83951),x83953))+~P106(f335(f335(f244(a927),f335(f40(x83951),x83952)),f335(f40(x83951),x83953)))+~P106(f335(f335(f243(f934(x83951,a922)),x83952),x83953))+P106(f335(f335(f244(f934(x83951,a922)),x83952),x83953)) % 209.33/209.64 [8422]E(f335(f335(f86(a1),f508(x84223,x84221,x84222)),f509(x84223,x84221,x84222)),x84221)+E(f335(f335(f23(a1),x84221),x84222),x84221)+~P106(f335(f335(f244(a1),f2(a1)),x84222))+~P106(f335(f335(f337(a1),f335(f335(f23(a1),x84221),f84(a1))),x84223)) % 209.33/209.64 [8423]E(f335(f335(f23(a1),f514(x84233,x84231,x84232)),f515(x84233,x84231,x84232)),x84231)+E(f335(f335(f86(a1),x84231),x84232),x84231)+~P106(f335(f335(f244(a1),f2(a1)),x84232))+~P106(f335(f335(f337(a1),f335(f335(f86(a1),x84231),f84(a1))),x84233)) % 209.33/209.64 [8475]~P106(f335(f335(f243(a927),x84753),x84751))+P106(f335(f335(f243(a927),x84751),x84752))+~P106(f335(f335(f243(a927),x84753),x84752))+~P106(f335(f335(f243(a927),f335(f335(f23(a927),x84751),x84753)),f335(f335(f23(a927),x84752),x84753))) % 209.33/209.64 [8476]~P106(f335(f335(f243(a927),x84763),x84761))+P106(f335(f335(f244(a927),x84761),x84762))+~P106(f335(f335(f243(a927),x84763),x84762))+~P106(f335(f335(f244(a927),f335(f335(f23(a927),x84761),x84763)),f335(f335(f23(a927),x84762),x84763))) % 209.33/209.64 [8495]~P108(x84952)+E(x84951,f120(x84952))+~P13(x84952,f335(f175(x84952),x84951))+E(f335(f149(x84952,x84952,f335(f7(x84952,x84952,x84952),f242(x84952)),x84953),f335(f175(x84952),x84951)),f335(f335(f242(x84952),f335(f335(f171(x84952),x84951),f2(a927))),x84953)) % 209.33/209.64 [8564]E(f335(f335(f23(a1),x85641),x85642),x85641)+~P106(f335(f335(f244(a1),f2(a1)),x85642))+P106(f335(f335(f337(a1),f508(x85643,x85641,x85642)),x85643))+~P106(f335(f335(f337(a1),f335(f335(f23(a1),x85641),f84(a1))),x85643)) % 209.33/209.64 [8565]E(f335(f335(f86(a1),x85651),x85652),x85651)+~P106(f335(f335(f244(a1),f2(a1)),x85652))+P106(f335(f335(f337(a1),f514(x85653,x85651,x85652)),x85653))+~P106(f335(f335(f337(a1),f335(f335(f86(a1),x85651),f84(a1))),x85653)) % 209.33/209.64 [8637]~P106(f335(f335(f243(a1),x86371),f335(x86372,x86373)))+P106(f335(f335(f244(a927),f561(x86371,x86372,x86373)),x86373))+P106(f335(f335(f243(a927),f560(x86371,x86372,x86373)),x86373))+~P106(f335(f335(f243(a1),f335(x86372,f2(a927))),x86371)) % 209.33/209.64 [8638]~P106(f335(f335(f243(a1),x86381),f335(x86382,x86383)))+P106(f335(f335(f244(a927),f566(x86381,x86382,x86383)),x86383))+P106(f335(f335(f243(a927),f565(x86381,x86382,x86383)),x86383))+~P106(f335(f335(f243(a1),f335(x86382,f2(a927))),x86381)) % 209.33/209.64 [8710]E(f335(f335(f23(a1),x87101),x87102),x87101)+~P106(f335(f335(f244(a1),f2(a1)),x87102))+P106(f335(f335(f337(a1),f509(x87103,x87101,x87102)),f311(a1,f84(a1),x87102)))+~P106(f335(f335(f337(a1),f335(f335(f23(a1),x87101),f84(a1))),x87103)) % 209.33/209.64 [8711]E(f335(f335(f86(a1),x87111),x87112),x87111)+~P106(f335(f335(f244(a1),f2(a1)),x87112))+P106(f335(f335(f337(a1),f515(x87113,x87111,x87112)),f311(a1,f84(a1),x87112)))+~P106(f335(f335(f337(a1),f335(f335(f86(a1),x87111),f84(a1))),x87113)) % 209.33/209.64 [8844]~P125(x88441)+~P106(f335(f335(f244(x88441),x88442),f84(x88441)))+~P106(f335(f335(f244(x88441),f2(x88441)),x88442))+P106(f335(f335(f244(x88441),f335(f335(f87(x88441),x88442),f335(f335(f252(x88441),x88442),x88443))),f335(f335(f252(x88441),x88442),x88443))) % 209.33/209.64 [8937]~P106(f335(x89371,x89372))+P106(f335(x89371,f2(a927)))+~P106(f335(f335(f244(a927),x89372),x89373))+~P106(f335(x89371,f50(a927,f335(a119,f609(x89372,x89371,x89373)),x89373))) % 209.33/209.64 [9089]E(f555(x90891,x90892,x90893),f2(a927))+P106(f335(f335(x90891,x90893),x90892))+P106(f335(f335(x90891,f555(x90891,x90892,x90893)),f50(a927,f553(x90891,x90892,x90893),f555(x90891,x90892,x90893))))+~P106(f335(f323(f933(a927,a927),a228),f335(f335(f260(a927,a927),x90893),x90892))) % 209.33/209.64 [9127]~P25(x91271,x91271,x91272,x91273)+E(f335(f318(x91271,x91271,x91272),x91273),x91273)+~P106(f335(f66(x91271),x91273))+~P106(f335(f335(f243(f934(x91271,a922)),f335(f318(x91271,x91271,x91272),x91273)),x91273)) % 209.33/209.64 [9345]P106(f335(f335(x93451,x93452),x93453))+P106(f335(f335(f244(a1),f798(x93451,x93453,x93452)),f799(x93451,x93453,x93452)))+P106(f335(f335(x93451,f798(x93451,x93453,x93452)),f335(f335(f86(a1),f799(x93451,x93453,x93452)),f84(a1))))+~P106(f335(f323(f933(a1,a1),a140),f335(f335(f260(a1,a1),x93452),x93453))) % 209.33/209.64 [9362]P106(f335(f335(x93621,x93622),x93623))+~P106(f335(f335(f244(a1),f477(x93621,x93623,x93622)),f2(a1)))+P106(f335(f335(x93621,f335(f85(a1),f476(x93621,x93623,x93622))),f335(f85(a1),f477(x93621,x93623,x93622))))+~P106(f335(f323(f933(a1,a1),a230),f335(f335(f260(a1,a1),x93622),x93623))) % 209.33/209.64 [9546]P106(f335(f335(x95461,x95462),x95463))+P106(f335(f335(x95461,f335(f335(f86(a1),f701(x95461,x95463,x95462)),f84(a1))),f703(x95461,x95463,x95462)))+~P106(f335(f335(f243(a1),f701(x95461,x95463,x95462)),f703(x95461,x95463,x95462)))+~P106(f335(f323(f933(a1,a1),a189),f335(f335(f260(a1,a1),x95462),x95463))) % 209.33/209.64 [9979]~P64(x99792)+~P64(x99791)+~P106(f335(f61(f933(x99791,x99792)),x99793))+P106(f335(f61(x99791),f335(f335(f8(f934(x99792,a922),a922,x99791),f61(x99792)),f335(f335(f8(f934(x99792,f933(x99791,x99792)),f934(x99792,a922),x99791),f335(f8(f933(x99791,x99792),a922,x99792),x99793)),f260(x99791,x99792))))) % 209.33/209.64 [9980]~P64(x99802)+~P64(x99801)+~P106(f335(f62(f933(x99801,x99802)),x99803))+P106(f335(f62(x99801),f335(f335(f8(f934(x99802,a922),a922,x99801),f62(x99802)),f335(f335(f8(f934(x99802,f933(x99801,x99802)),f934(x99802,a922),x99801),f335(f8(f933(x99801,x99802),a922,x99802),x99803)),f260(x99801,x99802))))) % 209.33/209.64 [10075]~P64(x100752)+~P64(x100751)+P106(f335(f61(f933(x100751,x100752)),x100753))+~P106(f335(f61(x100751),f335(f335(f8(f934(x100752,a922),a922,x100751),f61(x100752)),f335(f335(f8(f934(x100752,f933(x100751,x100752)),f934(x100752,a922),x100751),f335(f8(f933(x100751,x100752),a922,x100752),x100753)),f260(x100751,x100752))))) % 209.33/209.64 [10076]~P64(x100762)+~P64(x100761)+P106(f335(f62(f933(x100761,x100762)),x100763))+~P106(f335(f62(x100761),f335(f335(f8(f934(x100762,a922),a922,x100761),f62(x100762)),f335(f335(f8(f934(x100762,f933(x100761,x100762)),f934(x100762,a922),x100761),f335(f8(f933(x100761,x100762),a922,x100762),x100763)),f260(x100761,x100762))))) % 209.33/209.64 [10252]E(f335(x102521,f560(x102522,x102521,x102523)),x102522)+~P106(f335(f335(f243(a1),x102522),f335(x102521,x102523)))+~P106(f335(f335(f243(a1),f335(f81(a1),f335(f335(f23(a1),f335(x102521,f335(f335(f86(a927),f561(x102522,x102521,x102523)),f84(a927)))),f335(x102521,f561(x102522,x102521,x102523))))),f84(a1)))+~P106(f335(f335(f243(a1),f335(x102521,f2(a927))),x102522)) % 209.33/209.64 [10253]E(f335(x102531,f565(x102532,x102531,x102533)),x102532)+~P106(f335(f335(f243(a1),x102532),f335(x102531,x102533)))+~P106(f335(f335(f243(a1),f335(f81(a1),f335(f335(f23(a1),f335(x102531,f335(f335(f86(a927),f566(x102532,x102531,x102533)),f84(a927)))),f335(x102531,f566(x102532,x102531,x102533))))),f84(a1)))+~P106(f335(f335(f243(a1),f335(x102531,f2(a927))),x102532)) % 209.33/209.64 [10256]~P106(f335(f335(f243(a1),x102561),f335(x102562,x102563)))+~P106(f335(f335(f243(a1),f335(f81(a1),f335(f335(f23(a1),f335(x102562,f335(f335(f86(a927),f561(x102561,x102562,x102563)),f84(a927)))),f335(x102562,f561(x102561,x102562,x102563))))),f84(a1)))+P106(f335(f335(f243(a927),f560(x102561,x102562,x102563)),x102563))+~P106(f335(f335(f243(a1),f335(x102562,f2(a927))),x102561)) % 209.33/209.64 [10257]~P106(f335(f335(f243(a1),x102571),f335(x102572,x102573)))+~P106(f335(f335(f243(a1),f335(f81(a1),f335(f335(f23(a1),f335(x102572,f335(f335(f86(a927),f566(x102571,x102572,x102573)),f84(a927)))),f335(x102572,f566(x102571,x102572,x102573))))),f84(a1)))+P106(f335(f335(f243(a927),f565(x102571,x102572,x102573)),x102573))+~P106(f335(f335(f243(a1),f335(x102572,f2(a927))),x102571)) % 209.33/209.64 [10316]E(x103161,x103162)+~E(f335(f149(f928(x103163),f928(x103163),f141(x103163),f120(x103163)),x103161),f335(f149(f928(x103163),f928(x103163),f141(x103163),f120(x103163)),x103162))+~E(f335(f196(f928(f928(x103163))),x103161),f335(f196(f928(f928(x103163))),x103162))+~P106(f335(f335(f265(f928(x103163),f928(x103163),a922),f335(f335(f7(f928(x103163),f934(f928(x103163),a927),f934(f928(x103163),a922)),f335(f335(f8(f934(a927,a922),f934(f934(f928(x103163),a927),f934(f928(x103163),a922)),f928(x103163)),f8(a927,a922,f928(x103163))),f335(f335(f8(a927,f934(a927,a922),f928(x103163)),a332),f196(f928(x103163))))),f196(f928(x103163)))),f726(x103162,x103161,x103163))) % 209.33/209.64 [10317]E(x103171,x103172)+~E(f335(f149(f928(x103173),f928(x103173),f141(x103173),f120(x103173)),x103171),f335(f149(f928(x103173),f928(x103173),f141(x103173),f120(x103173)),x103172))+~E(f335(f196(f928(f928(x103173))),x103171),f335(f196(f928(f928(x103173))),x103172))+~P106(f335(f335(f265(f928(x103173),f928(x103173),a922),f335(f335(f7(f928(x103173),f934(f928(x103173),a927),f934(f928(x103173),a922)),f335(f335(f8(f934(a927,a922),f934(f934(f928(x103173),a927),f934(f928(x103173),a922)),f928(x103173)),f8(a927,a922,f928(x103173))),f335(f335(f8(a927,f934(a927,a922),f928(x103173)),a332),f196(f928(x103173))))),f196(f928(x103173)))),f727(x103171,x103172,x103173))) % 209.33/209.64 [7048]~E(f84(a927),f2(a927))+~P106(f335(f66(x70481),x70483))+~P106(f335(f66(x70481),x70482))+E(f335(f335(f86(a927),f335(f40(x70481),x70482)),f335(f40(x70481),x70483)),f335(f40(x70481),f335(f335(f117(f934(x70481,a922)),x70482),x70483))) % 209.33/209.64 [7455]~P101(x74551)+~P106(f335(f66(x74551),x74552))+~P106(f335(f335(f337(x74551),x74553),x74552))+P106(f335(f335(f243(x74551),f335(f68(x74551,f108(x74551)),x74552)),x74553)) % 209.33/209.64 [7456]~P108(x74561)+~P106(f335(f66(x74561),x74562))+~P106(f335(f335(f337(x74561),x74563),x74562))+P106(f335(f335(f243(x74561),f335(f68(x74561,f241(x74561)),x74562)),x74563)) % 209.33/209.64 [7709]~P106(f335(f66(x77091),x77093))+~P106(f335(f66(x77091),x77092))+~E(f335(f335(f108(f934(x77091,a922)),x77092),x77093),f195(f934(x77091,a922)))+E(f335(f335(f86(a927),f335(f40(x77091),x77092)),f335(f40(x77091),x77093)),f335(f40(x77091),f335(f335(f117(f934(x77091,a922)),x77092),x77093))) % 209.33/209.64 [8481]~P37(x84811,x84813)+~P37(x84811,x84812)+~E(f335(f335(f108(f934(x84811,a922)),f335(f272(x84811,x84811),x84812)),f335(f292(x84811,x84811),x84813)),f195(f934(x84811,a922)))+P37(x84811,f335(f335(f117(f934(f933(x84811,x84811),a922)),x84812),x84813)) % 209.33/209.64 [8576]E(x85761,f335(f335(f41(a927),x85762),x85763))+~P106(f335(f335(f244(a927),f2(a927)),x85763))+~P106(f335(f335(f244(a927),x85762),f335(f335(f87(a927),x85763),f335(a119,x85761))))+~P106(f335(f335(f243(a927),f335(f335(f87(a927),x85763),x85761)),x85762)) % 209.33/209.64 [8708]~P106(f335(f66(x87081),x87082))+~P106(f335(f66(x87081),x87083))+E(f335(f335(f86(a927),f335(f40(x87081),x87082)),f335(f40(x87081),x87083)),f335(f40(x87081),f335(f335(f117(f934(x87081,a922)),x87082),x87083)))+P106(f335(f335(f337(x87081),f398(x87083,x87082,x87081)),f335(f335(f108(f934(x87081,a922)),x87082),x87083))) % 209.33/209.64 [9101]~P126(x91012)+~E(x91011,f2(x91012))+~E(x91013,f2(x91012))+~P106(f335(f335(f244(x91012),f2(x91012)),f335(f335(f86(x91012),f335(f335(f87(x91012),x91013),x91013)),f335(f335(f87(x91012),x91011),x91011)))) % 209.33/209.64 [9625]~P37(x96251,x96253)+~P37(x96251,x96252)+P37(x96251,f335(f335(f117(f934(f933(x96251,x96251),a922)),x96252),x96253))+~P106(f335(f335(f243(f934(f933(x96251,x96251),a922)),f335(f335(f297(x96251,x96251,x96251),x96252),x96253)),x96252)) % 209.33/209.64 [9753]~P106(f335(x97531,x97533))+~P106(f335(f66(x97532),x97533))+P106(f335(x97531,f195(f934(x97532,a922))))+~P106(f335(x97531,f335(f335(f23(f934(x97532,a922)),f351(x97531,x97533,x97532)),f335(f335(f317(x97532),f352(x97531,x97533,x97532)),f195(f934(x97532,a922)))))) % 209.33/209.64 [8884]~P106(f335(f335(f244(a1),f2(a1)),x88843))+P106(f335(f335(f243(a1),f2(a1)),x88841))+~P106(f335(f335(f244(a1),x88842),x88843))+~P106(f335(f335(f243(a1),f2(a1)),f335(f335(f86(a1),f335(f335(f87(a1),x88843),x88841)),x88842))) % 209.33/209.64 [8908]~P96(x89081)+~P106(f335(f66(x89081),x89082))+E(f335(f335(f23(f934(x89081,a922)),x89082),f335(f335(f317(x89081),x89083),f195(f934(x89081,a922)))),f195(f934(x89081,a922)))+E(f335(f335(f117(x89081),x89083),f13(x89081,f335(f335(f23(f934(x89081,a922)),x89082),f335(f335(f317(x89081),x89083),f195(f934(x89081,a922)))))),f13(x89081,f335(f335(f317(x89081),x89083),x89082))) % 209.33/209.64 [8909]~P96(x89091)+~P106(f335(f66(x89091),x89092))+E(f335(f335(f23(f934(x89091,a922)),x89092),f335(f335(f317(x89091),x89093),f195(f934(x89091,a922)))),f195(f934(x89091,a922)))+E(f335(f335(f108(x89091),x89093),f10(x89091,f335(f335(f23(f934(x89091,a922)),x89092),f335(f335(f317(x89091),x89093),f195(f934(x89091,a922)))))),f10(x89091,f335(f335(f317(x89091),x89093),x89092))) % 209.33/209.64 [8910]~P108(x89101)+~P106(f335(f66(x89101),x89102))+E(f335(f335(f23(f934(x89101,a922)),x89102),f335(f335(f317(x89101),x89103),f195(f934(x89101,a922)))),f195(f934(x89101,a922)))+E(f335(f335(f241(x89101),x89103),f14(x89101,f335(f335(f23(f934(x89101,a922)),x89102),f335(f335(f317(x89101),x89103),f195(f934(x89101,a922)))))),f14(x89101,f335(f335(f317(x89101),x89103),x89102))) % 209.33/209.64 [8911]~P108(x89111)+~P106(f335(f66(x89111),x89112))+E(f335(f335(f23(f934(x89111,a922)),x89112),f335(f335(f317(x89111),x89113),f195(f934(x89111,a922)))),f195(f934(x89111,a922)))+E(f335(f335(f242(x89111),x89113),f15(x89111,f335(f335(f23(f934(x89111,a922)),x89112),f335(f335(f317(x89111),x89113),f195(f934(x89111,a922)))))),f15(x89111,f335(f335(f317(x89111),x89113),x89112))) % 209.33/209.64 [8983]~P108(x89831)+~P106(f335(f66(x89831),x89832))+E(f335(f335(f23(f934(x89831,a922)),x89832),f335(f335(f317(x89831),x89833),f195(f934(x89831,a922)))),f195(f934(x89831,a922)))+E(f335(f335(f241(x89831),x89833),f11(x89831,f241(x89831),f335(f335(f23(f934(x89831,a922)),x89832),f335(f335(f317(x89831),x89833),f195(f934(x89831,a922)))))),f11(x89831,f241(x89831),f335(f335(f317(x89831),x89833),x89832))) % 209.33/209.64 [8984]~P108(x89841)+~P106(f335(f66(x89841),x89842))+E(f335(f335(f23(f934(x89841,a922)),x89842),f335(f335(f317(x89841),x89843),f195(f934(x89841,a922)))),f195(f934(x89841,a922)))+E(f335(f335(f242(x89841),x89843),f12(x89841,f242(x89841),f335(f335(f23(f934(x89841,a922)),x89842),f335(f335(f317(x89841),x89843),f195(f934(x89841,a922)))))),f12(x89841,f242(x89841),f335(f335(f317(x89841),x89843),x89842))) % 209.33/209.64 [9565]E(x95651,x95652)+~E(f335(f149(f928(x95653),f928(x95653),f141(x95653),f120(x95653)),x95651),f335(f149(f928(x95653),f928(x95653),f141(x95653),f120(x95653)),x95652))+~E(f335(f196(f928(f928(x95653))),x95651),f335(f196(f928(f928(x95653))),x95652))+P106(f335(f335(f337(f933(f928(x95653),f928(x95653))),f726(x95652,x95651,x95653)),f335(f179(f933(f928(x95653),f928(x95653))),f335(f335(f188(f928(x95653),f928(x95653)),x95651),x95652)))) % 209.33/209.64 [9566]E(x95661,x95662)+~E(f335(f149(f928(x95663),f928(x95663),f141(x95663),f120(x95663)),x95661),f335(f149(f928(x95663),f928(x95663),f141(x95663),f120(x95663)),x95662))+~E(f335(f196(f928(f928(x95663))),x95661),f335(f196(f928(f928(x95663))),x95662))+P106(f335(f335(f337(f933(f928(x95663),f928(x95663))),f727(x95661,x95662,x95663)),f335(f179(f933(f928(x95663),f928(x95663))),f335(f335(f188(f928(x95663),f928(x95663)),x95662),x95661)))) % 209.33/209.64 [10427]~P100(x104272)+E(x104271,f195(f934(x104272,a922)))+~P106(f335(f66(x104272),x104271))+E(f13(x104272,f335(f270(x104272),f335(f335(f8(f934(x104272,a922),a922,x104272),f93(x104272)),f335(f335(f7(x104272,f934(x104272,a922),f934(x104272,a922)),f335(f335(f8(f934(x104272,f934(a922,a922)),f934(f934(x104272,a922),f934(x104272,a922)),x104272),f18(x104272,a922,a922)),f335(f335(f8(f934(x104272,a922),f934(x104272,f934(a922,a922)),x104272),f335(f8(a922,f934(a922,a922),x104272),a333)),f335(f335(f7(x104272,f934(x104272,x104272),f934(x104272,a922)),f335(f335(f8(f934(x104272,a922),f934(f934(x104272,x104272),f934(x104272,a922)),x104272),f8(x104272,a922,x104272)),a332)),f335(f108(x104272),x104273))))),f335(f335(f7(x104272,f934(x104272,a922),a922),f337(x104272)),x104271))))),f335(f335(f108(x104272),x104273),f13(x104272,x104271))) % 209.33/209.64 [10428]~P100(x104282)+E(x104281,f195(f934(x104282,a922)))+~P106(f335(f66(x104282),x104281))+E(f10(x104282,f335(f270(x104282),f335(f335(f8(f934(x104282,a922),a922,x104282),f93(x104282)),f335(f335(f7(x104282,f934(x104282,a922),f934(x104282,a922)),f335(f335(f8(f934(x104282,f934(a922,a922)),f934(f934(x104282,a922),f934(x104282,a922)),x104282),f18(x104282,a922,a922)),f335(f335(f8(f934(x104282,a922),f934(x104282,f934(a922,a922)),x104282),f335(f8(a922,f934(a922,a922),x104282),a333)),f335(f335(f7(x104282,f934(x104282,x104282),f934(x104282,a922)),f335(f335(f8(f934(x104282,a922),f934(f934(x104282,x104282),f934(x104282,a922)),x104282),f8(x104282,a922,x104282)),a332)),f335(f117(x104282),x104283))))),f335(f335(f7(x104282,f934(x104282,a922),a922),f337(x104282)),x104281))))),f335(f335(f117(x104282),x104283),f10(x104282,x104281))) % 209.33/209.64 [10429]~P76(x104292)+E(x104291,f195(f934(x104292,a922)))+~P106(f335(f66(x104292),x104291))+E(f14(x104292,f335(f270(x104292),f335(f335(f8(f934(x104292,a922),a922,x104292),f93(x104292)),f335(f335(f7(x104292,f934(x104292,a922),f934(x104292,a922)),f335(f335(f8(f934(x104292,f934(a922,a922)),f934(f934(x104292,a922),f934(x104292,a922)),x104292),f18(x104292,a922,a922)),f335(f335(f8(f934(x104292,a922),f934(x104292,f934(a922,a922)),x104292),f335(f8(a922,f934(a922,a922),x104292),a333)),f335(f335(f7(x104292,f934(x104292,x104292),f934(x104292,a922)),f335(f335(f8(f934(x104292,a922),f934(f934(x104292,x104292),f934(x104292,a922)),x104292),f8(x104292,a922,x104292)),a332)),f335(f86(x104292),x104293))))),f335(f335(f7(x104292,f934(x104292,a922),a922),f337(x104292)),x104291))))),f335(f335(f86(x104292),x104293),f14(x104292,x104291))) % 209.33/209.64 [10430]~P76(x104302)+E(x104301,f195(f934(x104302,a922)))+~P106(f335(f66(x104302),x104301))+E(f15(x104302,f335(f270(x104302),f335(f335(f8(f934(x104302,a922),a922,x104302),f93(x104302)),f335(f335(f7(x104302,f934(x104302,a922),f934(x104302,a922)),f335(f335(f8(f934(x104302,f934(a922,a922)),f934(f934(x104302,a922),f934(x104302,a922)),x104302),f18(x104302,a922,a922)),f335(f335(f8(f934(x104302,a922),f934(x104302,f934(a922,a922)),x104302),f335(f8(a922,f934(a922,a922),x104302),a333)),f335(f335(f7(x104302,f934(x104302,x104302),f934(x104302,a922)),f335(f335(f8(f934(x104302,a922),f934(f934(x104302,x104302),f934(x104302,a922)),x104302),f8(x104302,a922,x104302)),a332)),f335(f86(x104302),x104303))))),f335(f335(f7(x104302,f934(x104302,a922),a922),f337(x104302)),x104301))))),f335(f335(f86(x104302),x104303),f15(x104302,x104301))) % 209.33/209.64 [10431]~P108(x104312)+E(x104311,f195(f934(x104312,a922)))+~P106(f335(f66(x104312),x104311))+E(f12(x104312,f242(x104312),f335(f270(x104312),f335(f335(f8(f934(x104312,a922),a922,x104312),f93(x104312)),f335(f335(f7(x104312,f934(x104312,a922),f934(x104312,a922)),f335(f335(f8(f934(x104312,f934(a922,a922)),f934(f934(x104312,a922),f934(x104312,a922)),x104312),f18(x104312,a922,a922)),f335(f335(f8(f934(x104312,a922),f934(x104312,f934(a922,a922)),x104312),f335(f8(a922,f934(a922,a922),x104312),a333)),f335(f335(f7(x104312,f934(x104312,x104312),f934(x104312,a922)),f335(f335(f8(f934(x104312,a922),f934(f934(x104312,x104312),f934(x104312,a922)),x104312),f8(x104312,a922,x104312)),a332)),f335(f241(x104312),x104313))))),f335(f335(f7(x104312,f934(x104312,a922),a922),f337(x104312)),x104311))))),f335(f335(f241(x104312),x104313),f12(x104312,f242(x104312),x104311))) % 209.33/209.64 [10432]~P108(x104322)+E(x104321,f195(f934(x104322,a922)))+~P106(f335(f66(x104322),x104321))+E(f11(x104322,f241(x104322),f335(f270(x104322),f335(f335(f8(f934(x104322,a922),a922,x104322),f93(x104322)),f335(f335(f7(x104322,f934(x104322,a922),f934(x104322,a922)),f335(f335(f8(f934(x104322,f934(a922,a922)),f934(f934(x104322,a922),f934(x104322,a922)),x104322),f18(x104322,a922,a922)),f335(f335(f8(f934(x104322,a922),f934(x104322,f934(a922,a922)),x104322),f335(f8(a922,f934(a922,a922),x104322),a333)),f335(f335(f7(x104322,f934(x104322,x104322),f934(x104322,a922)),f335(f335(f8(f934(x104322,a922),f934(f934(x104322,x104322),f934(x104322,a922)),x104322),f8(x104322,a922,x104322)),a332)),f335(f242(x104322),x104323))))),f335(f335(f7(x104322,f934(x104322,a922),a922),f337(x104322)),x104321))))),f335(f335(f242(x104322),x104323),f11(x104322,f241(x104322),x104321))) % 209.33/209.64 [10140]~P122(x101401)+~E(x101403,f2(x101401))+~E(x101402,f2(x101401))+E(f335(f335(f86(x101401),f335(f335(f252(x101401),x101402),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))),f335(f335(f252(x101401),x101403),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))),f2(x101401)) % 209.33/209.64 [10297]~P125(x102971)+~P106(f335(f335(f243(x102971),f2(x102971)),x102973))+P106(f335(f335(f243(x102971),x102972),x102973))+~P106(f335(f335(f243(x102971),f335(f335(f252(x102971),x102972),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))),f335(f335(f252(x102971),x102973),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))))) % 209.33/209.64 [10354]~P122(x103542)+~E(x103541,f2(x103542))+~E(x103543,f2(x103542))+~P106(f335(f335(f244(x103542),f2(x103542)),f335(f335(f86(x103542),f335(f335(f252(x103542),x103543),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))),f335(f335(f252(x103542),x103541),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))))) % 209.33/209.64 [6931]~P7(x69313,x69312)+~P106(f335(x69311,x69314))+~P106(f335(f335(f337(x69313),x69314),f278(x69313,x69312)))+P106(f335(x69311,f846(x69311,x69312,x69313))) % 209.33/209.64 [8819]P26(x88191,x88192,f358(x88193,x88192,x88194,x88191),x88194,x88193)+~E(f335(f40(x88191),x88194),f335(f40(x88192),x88193))+~P106(f335(f66(x88192),x88193))+~P106(f335(f66(x88191),x88194)) % 209.33/209.64 [9528]E(x95281,x95282)+~E(f680(x95281,x95282,x95284,x95283),f681(x95281,x95282,x95284,x95283))+P106(f335(f335(f337(f933(f928(x95283),f928(x95283))),f335(f335(f260(f928(x95283),f928(x95283)),x95282),x95281)),f154(x95283,x95284)))+P106(f335(f335(f337(f933(f928(x95283),f928(x95283))),f335(f335(f260(f928(x95283),f928(x95283)),x95281),x95282)),f154(x95283,x95284))) % 209.33/209.64 [5091]~P65(x50912)+~E(x50914,f2(x50912))+~E(x50911,f2(x50912))+E(x50911,f335(f335(f299(x50912),x50913),x50914)) % 209.33/209.64 [5092]~P65(x50921)+~E(x50923,f2(x50921))+~E(x50924,f2(x50921))+E(f335(f335(f299(x50921),x50922),x50923),x50924) % 209.33/209.64 [5208]~P65(x52082)+E(x52081,f2(x52082))+~E(x52083,f2(x52082))+~E(x52081,f335(f335(f299(x52082),x52084),x52083)) % 209.33/209.64 [5209]~P65(x52092)+E(x52091,f2(x52092))+~E(x52093,f2(x52092))+~E(f335(f335(f299(x52092),x52094),x52093),x52091) % 209.33/209.64 [5391]~P119(x53912)+E(x53911,f2(x53912))+~E(f335(f335(f299(x53912),x53913),x53911),x53914)+E(x53913,f335(f335(f87(x53912),x53914),x53911)) % 209.33/209.64 [5393]~P119(x53932)+E(x53931,f2(x53932))+~E(f335(f335(f87(x53932),x53933),x53931),x53934)+E(x53933,f335(f335(f299(x53932),x53934),x53931)) % 209.33/209.64 [5394]~P65(x53942)+E(x53941,f2(x53942))+~E(f335(f335(f299(x53942),x53943),x53941),x53944)+E(x53943,f335(f335(f87(x53942),x53944),x53941)) % 209.33/209.64 [5395]~P65(x53952)+E(x53951,f2(x53952))+~E(f335(f335(f87(x53952),x53953),x53951),x53954)+E(x53953,f335(f335(f299(x53952),x53954),x53951)) % 209.33/209.64 [5396]~P119(x53962)+E(x53961,f2(x53962))+~E(x53963,f335(f335(f299(x53962),x53964),x53961))+E(f335(f335(f87(x53962),x53963),x53961),x53964) % 209.33/209.64 [5398]~P119(x53982)+E(x53981,f2(x53982))+~E(x53983,f335(f335(f87(x53982),x53984),x53981))+E(f335(f335(f299(x53982),x53983),x53981),x53984) % 209.33/209.64 [5399]~P65(x53992)+E(x53991,f2(x53992))+~E(x53993,f335(f335(f299(x53992),x53994),x53991))+E(f335(f335(f87(x53992),x53993),x53991),x53994) % 209.33/209.64 [5400]~P65(x54002)+E(x54001,f2(x54002))+~E(x54003,f335(f335(f87(x54002),x54004),x54001))+E(f335(f335(f299(x54002),x54003),x54001),x54004) % 209.33/209.64 [5424]~P65(x54242)+~E(x54241,f2(x54242))+~E(f335(f335(f87(x54242),x54241),x54244),x54243)+E(x54241,f335(f335(f299(x54242),x54243),x54244)) % 209.33/209.64 [5425]~P65(x54251)+~E(x54254,f2(x54251))+~E(x54252,f335(f335(f87(x54251),x54254),x54253))+E(f335(f335(f299(x54251),x54252),x54253),x54254) % 209.33/209.64 [5499]~E(x54993,x54994)+~E(x54992,x54993)+~P110(x54991)+E(f311(x54991,x54992,x54993),f335(f335(f317(x54991),x54994),f195(f934(x54991,a922)))) % 209.33/209.64 [5704]~E(f121(x57042,x57041),x57043)+~E(f151(x57042,x57041),x57044)+E(x57041,f120(x57042))+E(f335(f335(f141(x57042),x57043),f335(f335(f158(x57042),x57044),f120(x57042))),x57041) % 209.33/209.64 [6328]~P125(x63283)+E(x63281,x63282)+~E(f335(f335(f252(x63283),x63284),x63281),f335(f335(f252(x63283),x63284),x63282))+~P106(f335(f335(f244(x63283),f84(x63283)),x63284)) % 209.33/209.64 [6329]E(x63291,x63292)+~E(f335(f335(f317(x63293),x63294),x63291),f335(f335(f317(x63293),x63294),x63292))+P106(f335(f335(f337(x63293),x63294),x63292))+P106(f335(f335(f337(x63293),x63294),x63291)) % 209.33/209.64 [6371]E(f335(x63711,x63712),f84(a927))+~E(f335(f335(f9(x63713,a927),x63711),x63714),f84(a927))+~P106(f335(f66(x63713),x63714))+~P106(f335(f335(f337(x63713),x63712),x63714)) % 209.33/209.64 [6372]E(f335(x63721,x63722),f2(a927))+~E(f335(f335(f6(x63723,a927),x63721),x63724),f2(a927))+~P106(f335(f66(x63723),x63724))+~P106(f335(f335(f337(x63723),x63722),x63724)) % 209.33/209.64 [6588]~P110(x65881)+~P106(f335(f335(f243(x65881),x65884),x65883))+P106(f335(f335(f243(x65881),x65882),x65883))+~P106(f335(f335(f243(x65881),x65882),x65884)) % 209.33/209.64 [6589]~P107(x65891)+~P106(f335(f335(f243(x65891),x65892),x65894))+P106(f335(f335(f243(x65891),x65892),x65893))+~P106(f335(f335(f243(x65891),x65894),x65893)) % 209.33/209.64 [6590]~P110(x65901)+~P106(f335(f335(f244(x65901),x65904),x65903))+P106(f335(f335(f244(x65901),x65902),x65903))+~P106(f335(f335(f243(x65901),x65902),x65904)) % 209.33/209.64 [6591]~P110(x65911)+~P106(f335(f335(f244(x65911),x65912),x65914))+P106(f335(f335(f244(x65911),x65912),x65913))+~P106(f335(f335(f243(x65911),x65914),x65913)) % 209.33/209.64 [6592]~P110(x65921)+~P106(f335(f335(f244(x65921),x65924),x65923))+P106(f335(f335(f244(x65921),x65922),x65923))+~P106(f335(f335(f244(x65921),x65922),x65924)) % 209.33/209.64 [6593]~P107(x65931)+~P106(f335(f335(f244(x65931),x65932),x65934))+P106(f335(f335(f244(x65931),x65932),x65933))+~P106(f335(f335(f243(x65931),x65934),x65933)) % 209.33/209.64 [6594]~P107(x65941)+~P106(f335(f335(f244(x65941),x65944),x65943))+P106(f335(f335(f244(x65941),x65942),x65943))+~P106(f335(f335(f243(x65941),x65942),x65944)) % 209.33/209.64 [6595]~P107(x65951)+~P106(f335(f335(f244(x65951),x65952),x65954))+P106(f335(f335(f244(x65951),x65952),x65953))+~P106(f335(f335(f244(x65951),x65954),x65953)) % 209.33/209.64 [6676]~P35(x66764,x66763,x66762)+E(x66761,f780(x66762,x66763,x66764))+~P106(f335(x66763,x66761))+~P106(f335(f335(f337(x66764),x66761),f335(f179(x66764),x66762))) % 209.33/209.64 [6677]~P35(x66774,x66773,x66772)+E(x66771,f793(x66772,x66773,x66774))+~P106(f335(x66773,x66771))+~P106(f335(f335(f337(x66774),x66771),f335(f179(x66774),x66772))) % 209.33/209.64 [6824]~P5(x68241)+~P106(f335(f335(f243(x68241),x68242),f43(x68241,x68244)))+P106(f335(f335(f243(x68241),x68242),x68243))+~P106(f335(f335(f337(x68241),x68243),x68244)) % 209.33/209.64 [6971]~P108(x69711)+~P13(x69711,f335(f335(f158(x69711),x69712),x69714))+~P106(f335(f335(f337(x69711),x69713),f335(f179(x69711),x69714)))+P106(f335(f335(f243(x69711),x69712),x69713)) % 209.33/209.64 [7058]~P5(x70581)+~P106(f335(f335(f243(x70581),f42(x70581,x70584)),x70583))+P106(f335(f335(f243(x70581),x70582),x70583))+~P106(f335(f335(f337(x70581),x70582),x70584)) % 209.33/209.64 [7195]~P62(x71951)+P106(f335(f335(f295(x71951),x71952),f50(x71951,x71953,x71954)))+~P106(f335(f335(f295(x71951),x71952),x71954))+~P106(f335(f335(f295(x71951),x71952),x71953)) % 209.33/209.64 [7458]~P108(x74581)+E(f335(f335(f117(f934(x74581,a922)),f335(f310(x74581,x74582),x74583)),f335(f310(x74581,x74583),x74584)),f335(f310(x74581,x74582),x74584))+~P106(f335(f335(f243(x74581),x74583),x74584))+~P106(f335(f335(f243(x74581),x74582),x74583)) % 209.33/209.64 [7505]P35(x75051,x75052,x75053)+~E(f795(x75053,x75052,x75051,x75054),x75054)+~P106(f335(x75052,x75054))+~P106(f335(f335(f337(x75051),x75054),f335(f179(x75051),x75053))) % 209.33/209.64 [7506]P35(x75061,x75062,x75063)+~E(f803(x75063,x75062,x75061,x75064),x75064)+~P106(f335(x75062,x75064))+~P106(f335(f335(f337(x75061),x75064),f335(f179(x75061),x75063))) % 209.33/209.64 [7548]~P62(x75481)+~P106(f335(f335(f295(x75481),x75482),f50(x75481,x75483,x75484)))+P106(f335(f335(f295(x75481),x75482),x75483))+~P106(f335(f335(f295(x75481),x75482),x75484)) % 209.33/209.64 [7582]~P108(x75821)+E(f335(f335(f117(f934(x75821,a922)),f335(f310(x75821,x75822),x75823)),f311(x75821,x75823,x75824)),f311(x75821,x75822,x75824))+~P106(f335(f335(f243(x75821),x75823),x75824))+~P106(f335(f335(f243(x75821),x75822),x75823)) % 209.33/209.64 [7642]~P108(x76421)+E(f335(f335(f117(f934(x76421,a922)),f314(x76421,x76422,x76423)),f335(f310(x76421,x76423),x76424)),f314(x76421,x76422,x76424))+~P106(f335(f335(f243(x76421),x76423),x76424))+~P106(f335(f335(f244(x76421),x76422),x76423)) % 209.33/209.64 [7659]~P108(x76591)+E(f335(f335(f117(f934(x76591,a922)),f311(x76591,x76592,x76593)),f314(x76591,x76593,x76594)),f335(f310(x76591,x76592),x76594))+~P106(f335(f335(f243(x76591),x76592),x76593))+~P106(f335(f335(f244(x76591),x76593),x76594)) % 209.33/209.64 [7690]~P108(x76901)+E(f335(f335(f117(f934(x76901,a922)),f314(x76901,x76902,x76903)),f311(x76901,x76903,x76904)),f313(x76901,x76902,x76904))+~P106(f335(f335(f243(x76901),x76903),x76904))+~P106(f335(f335(f244(x76901),x76902),x76903)) % 209.33/209.64 [7691]~P108(x76911)+E(f335(f335(f117(f934(x76911,a922)),f313(x76911,x76912,x76913)),f314(x76911,x76913,x76914)),f314(x76911,x76912,x76914))+~P106(f335(f335(f243(x76911),x76912),x76913))+~P106(f335(f335(f244(x76911),x76913),x76914)) % 209.33/209.64 [7692]~P108(x76921)+E(f335(f335(f117(f934(x76921,a922)),f313(x76921,x76922,x76923)),f313(x76921,x76923,x76924)),f313(x76921,x76922,x76924))+~P106(f335(f335(f243(x76921),x76923),x76924))+~P106(f335(f335(f243(x76921),x76922),x76923)) % 209.33/209.64 [7693]~P108(x76931)+E(f335(f335(f117(f934(x76931,a922)),f311(x76931,x76932,x76933)),f313(x76931,x76933,x76934)),f311(x76931,x76932,x76934))+~P106(f335(f335(f243(x76931),x76933),x76934))+~P106(f335(f335(f243(x76931),x76932),x76933)) % 209.33/209.64 [8465]P25(x84651,x84652,f365(x84653,x84652,x84654,x84651),x84654)+~P106(f335(f66(x84652),x84653))+~P106(f335(f66(x84651),x84654))+~P106(f335(f335(f243(a927),f335(f40(x84651),x84654)),f335(f40(x84652),x84653))) % 209.33/209.64 [8486]P35(x84861,x84862,x84863)+~P106(f335(x84862,x84864))+P106(f335(x84862,f795(x84863,x84862,x84861,x84864)))+~P106(f335(f335(f337(x84861),x84864),f335(f179(x84861),x84863))) % 209.33/209.64 [8487]P35(x84871,x84872,x84873)+~P106(f335(x84872,x84874))+P106(f335(x84872,f803(x84873,x84872,x84871,x84874)))+~P106(f335(f335(f337(x84871),x84874),f335(f179(x84871),x84873))) % 209.33/209.64 [8542]~P71(x85421)+~E(f335(x85423,f607(x85423,x85424,x85422,x85421)),f84(x85421))+E(f335(f335(f335(f70(x85421,x85422,f87(x85421)),x85423),f84(x85421)),x85424),f84(x85421))+~P106(f335(f66(x85422),x85424)) % 209.33/209.64 [8808]~P125(x88081)+~P106(f335(f335(f243(x88081),f2(x88081)),x88083))+P106(f335(f335(f243(x88081),x88082),x88083))+~P106(f335(f335(f243(x88081),f335(f335(f252(x88081),x88082),f335(a119,x88084))),f335(f335(f252(x88081),x88083),f335(a119,x88084)))) % 209.33/209.64 [9128]P35(x91281,x91282,x91283)+~P106(f335(x91282,x91284))+~P106(f335(f335(f337(x91281),x91284),f335(f179(x91281),x91283)))+P106(f335(f335(f337(x91281),f795(x91283,x91282,x91281,x91284)),f335(f179(x91281),x91283))) % 209.33/209.64 [9129]P35(x91291,x91292,x91293)+~P106(f335(x91292,x91294))+~P106(f335(f335(f337(x91291),x91294),f335(f179(x91291),x91293)))+P106(f335(f335(f337(x91291),f803(x91293,x91292,x91291,x91294)),f335(f179(x91291),x91293))) % 209.33/209.64 [9207]~P71(x92071)+E(f335(f335(f335(f70(x92071,x92072,f87(x92071)),x92073),f84(x92071)),x92074),f84(x92071))+~P106(f335(f66(x92072),x92074))+P106(f335(f335(f337(x92072),f607(x92073,x92074,x92072,x92071)),x92074)) % 209.33/209.64 [9696]~P106(f335(f335(f243(a1),x96964),f2(a1)))+P106(f335(f335(f243(a1),f335(f335(f86(a1),f335(f335(f87(a1),x96961),f50(a1,x96962,x96963))),x96964)),f2(a1)))+~P106(f335(f335(f244(a1),f2(a1)),x96963))+~P106(f335(f335(f244(a1),x96961),x96964)) % 209.33/209.64 [10133]~P106(f335(f66(x101331),x101332))+~P106(f335(f335(f337(x101331),x101334),x101332))+~P106(f335(f335(f337(x101331),x101333),x101332))+P106(f335(f335(f244(a927),f335(f40(x101331),f335(f335(f23(f934(x101331,a922)),f335(f335(f23(f934(x101331,a922)),x101332),f335(f335(f317(x101331),x101333),f195(f934(x101331,a922))))),f335(f335(f317(x101331),x101334),f195(f934(x101331,a922)))))),f335(f40(x101331),x101332))) % 209.33/209.64 [7169]~P101(x71691)+~P106(f335(f335(f243(x71691),x71692),x71694))+~P106(f335(f335(f243(x71691),x71692),x71693))+P106(f335(f335(f243(x71691),x71692),f335(f335(f108(x71691),x71693),x71694))) % 209.33/209.64 [7172]~P108(x71721)+~P106(f335(f335(f243(x71721),x71722),x71724))+~P106(f335(f335(f243(x71721),x71722),x71723))+P106(f335(f335(f243(x71721),x71722),f335(f335(f241(x71721),x71723),x71724))) % 209.33/209.64 [7173]~P108(x71731)+~P106(f335(f335(f244(x71731),x71732),x71734))+~P106(f335(f335(f244(x71731),x71732),x71733))+P106(f335(f335(f244(x71731),x71732),f335(f335(f241(x71731),x71733),x71734))) % 209.33/209.64 [7193]~P66(x71932)+E(x71931,f2(x71932))+E(f335(f335(f299(x71932),f335(f335(f252(x71932),x71931),x71933)),f335(f335(f252(x71932),x71931),x71934)),f335(f335(f252(x71932),x71931),f335(f335(f23(a927),x71933),x71934)))+~P106(f335(f335(f243(a927),x71934),x71933)) % 209.33/209.64 [7239]~P108(x72391)+~P13(x72391,f335(f335(f158(x72391),x72393),x72394))+P13(x72391,f335(f335(f158(x72391),x72392),f335(f335(f158(x72391),x72393),x72394)))+~P106(f335(f335(f243(x72391),x72392),x72393)) % 209.33/209.64 [7275]~P87(x72751)+~P106(f335(f335(f243(x72751),f2(x72751)),x72754))+~P106(f335(f335(f243(x72751),x72752),x72753))+P106(f335(f335(f243(x72751),x72752),f335(f335(f86(x72751),x72753),x72754))) % 209.33/209.64 [7276]~P87(x72761)+~P106(f335(f335(f243(x72761),f2(x72761)),x72763))+~P106(f335(f335(f243(x72761),x72762),x72764))+P106(f335(f335(f243(x72761),x72762),f335(f335(f86(x72761),x72763),x72764))) % 209.33/209.64 [7277]~P125(x72771)+~P106(f335(f335(f244(x72771),f2(x72771)),x72773))+~P106(f335(f335(f244(x72771),x72772),x72774))+P106(f335(f335(f244(x72771),x72772),f335(f335(f86(x72771),x72773),x72774))) % 209.33/209.64 [7278]~P87(x72781)+~P106(f335(f335(f243(x72781),x72782),x72784))+~P106(f335(f335(f244(x72781),f2(x72781)),x72783))+P106(f335(f335(f244(x72781),x72782),f335(f335(f86(x72781),x72783),x72784))) % 209.33/209.64 [7279]~P87(x72791)+~P106(f335(f335(f243(x72791),f2(x72791)),x72793))+~P106(f335(f335(f244(x72791),x72792),x72794))+P106(f335(f335(f244(x72791),x72792),f335(f335(f86(x72791),x72793),x72794))) % 209.33/209.64 [7320]~P108(x73201)+P106(f335(f335(f243(x73201),x73202),x73203))+P106(f335(f335(f243(x73201),x73202),x73204))+~P106(f335(f335(f243(x73201),x73202),f335(f335(f242(x73201),x73204),x73203))) % 209.33/209.64 [7321]~P108(x73211)+P106(f335(f335(f244(x73211),x73212),x73213))+P106(f335(f335(f244(x73211),x73212),x73214))+~P106(f335(f335(f244(x73211),x73212),f335(f335(f242(x73211),x73214),x73213))) % 209.33/209.64 [7615]~P110(x76152)+~P64(x76151)+~P106(f335(f335(f244(f934(x76151,x76152)),x76153),x76154))+P106(f335(f335(f243(f934(x76151,x76152)),x76153),x76154)) % 209.33/209.64 [7972]~P68(x79721)+~P106(f335(f335(f244(x79721),x79724),f2(x79721)))+~P106(f335(f335(f243(x79721),x79723),f335(f335(f299(x79721),x79722),x79724)))+P106(f335(f335(f243(x79721),x79722),f335(f335(f87(x79721),x79723),x79724))) % 209.33/209.64 [7973]~P68(x79731)+~P106(f335(f335(f244(x79731),x79734),f2(x79731)))+~P106(f335(f335(f243(x79731),x79733),f335(f335(f87(x79731),x79732),x79734)))+P106(f335(f335(f243(x79731),x79732),f335(f335(f299(x79731),x79733),x79734))) % 209.33/209.64 [7974]~P68(x79741)+~P106(f335(f335(f244(x79741),x79744),f2(x79741)))+~P106(f335(f335(f244(x79741),x79743),f335(f335(f299(x79741),x79742),x79744)))+P106(f335(f335(f244(x79741),x79742),f335(f335(f87(x79741),x79743),x79744))) % 209.33/209.64 [7975]~P68(x79751)+~P106(f335(f335(f244(x79751),x79754),f2(x79751)))+~P106(f335(f335(f244(x79751),x79753),f335(f335(f87(x79751),x79752),x79754)))+P106(f335(f335(f244(x79751),x79752),f335(f335(f299(x79751),x79753),x79754))) % 209.33/209.64 [8078]~P128(x80781)+~P106(f335(f335(f243(x80781),x80782),f2(x80781)))+~P106(f335(f335(f243(x80781),x80784),x80783))+P106(f335(f335(f243(x80781),f335(f335(f87(x80781),x80782),x80783)),f335(f335(f87(x80781),x80782),x80784))) % 209.33/209.64 [8079]~P126(x80791)+~P106(f335(f335(f244(x80791),x80792),f2(x80791)))+~P106(f335(f335(f243(x80791),x80794),x80793))+P106(f335(f335(f243(x80791),f335(f335(f87(x80791),x80792),x80793)),f335(f335(f87(x80791),x80792),x80794))) % 209.33/209.64 [8080]~P128(x80801)+~P106(f335(f335(f243(x80801),x80803),f2(x80801)))+~P106(f335(f335(f243(x80801),x80804),x80802))+P106(f335(f335(f243(x80801),f335(f335(f87(x80801),x80802),x80803)),f335(f335(f87(x80801),x80804),x80803))) % 209.33/209.64 [8081]~P67(x80811)+~P106(f335(f335(f243(x80811),x80813),f2(x80811)))+~P106(f335(f335(f243(x80811),x80814),x80812))+P106(f335(f335(f243(x80811),f335(f335(f299(x80811),x80812),x80813)),f335(f335(f299(x80811),x80814),x80813))) % 209.33/209.64 [8085]~P126(x80851)+~P106(f335(f335(f244(x80851),x80853),f2(x80851)))+~P106(f335(f335(f244(x80851),x80854),x80852))+P106(f335(f335(f244(x80851),f335(f335(f87(x80851),x80852),x80853)),f335(f335(f87(x80851),x80854),x80853))) % 209.33/209.64 [8086]~P126(x80861)+~P106(f335(f335(f244(x80861),x80862),f2(x80861)))+~P106(f335(f335(f244(x80861),x80864),x80863))+P106(f335(f335(f244(x80861),f335(f335(f87(x80861),x80862),x80863)),f335(f335(f87(x80861),x80862),x80864))) % 209.33/209.64 [8087]~P68(x80871)+~P106(f335(f335(f244(x80871),x80873),f2(x80871)))+~P106(f335(f335(f244(x80871),x80874),x80872))+P106(f335(f335(f244(x80871),f335(f335(f299(x80871),x80872),x80873)),f335(f335(f299(x80871),x80874),x80873))) % 209.33/209.64 [8088]~P125(x80881)+~P106(f335(f335(f244(x80881),f84(x80881)),x80882))+~P106(f335(f335(f243(a927),x80883),x80884))+P106(f335(f335(f243(x80881),f335(f335(f252(x80881),x80882),x80883)),f335(f335(f252(x80881),x80882),x80884))) % 209.33/209.64 [8089]~P125(x80891)+~P106(f335(f335(f243(x80891),f84(x80891)),x80892))+~P106(f335(f335(f243(a927),x80893),x80894))+P106(f335(f335(f243(x80891),f335(f335(f252(x80891),x80892),x80893)),f335(f335(f252(x80891),x80892),x80894))) % 209.33/209.64 [8091]~P125(x80911)+~P106(f335(f335(f244(x80911),f84(x80911)),x80912))+~P106(f335(f335(f244(a927),x80913),x80914))+P106(f335(f335(f244(x80911),f335(f335(f252(x80911),x80912),x80913)),f335(f335(f252(x80911),x80912),x80914))) % 209.33/209.64 [8118]P106(f335(f335(f244(a927),f2(a927)),f335(x81181,x81182)))+~P106(f335(f66(x81183),x81184))+~P106(f335(f335(f337(x81183),x81182),x81184))+~P106(f335(f335(f244(a927),f2(a927)),f335(f335(f9(x81183,a927),x81181),x81184))) % 209.33/209.64 [8126]~P137(x81261)+~P106(f335(f335(f243(x81261),x81263),x81264))+~P106(f335(f335(f243(x81261),f2(x81261)),x81262))+P106(f335(f335(f243(x81261),f335(f335(f87(x81261),x81262),x81263)),f335(f335(f87(x81261),x81262),x81264))) % 209.33/209.64 [8127]~P136(x81271)+~P106(f335(f335(f243(x81271),x81273),x81274))+~P106(f335(f335(f243(x81271),f2(x81271)),x81272))+P106(f335(f335(f243(x81271),f335(f335(f87(x81271),x81272),x81273)),f335(f335(f87(x81271),x81272),x81274))) % 209.33/209.64 [8128]~P126(x81281)+~P106(f335(f335(f244(x81281),f2(x81281)),x81282))+~P106(f335(f335(f243(x81281),x81283),x81284))+P106(f335(f335(f243(x81281),f335(f335(f87(x81281),x81282),x81283)),f335(f335(f87(x81281),x81282),x81284))) % 209.33/209.64 [8129]~P137(x81291)+~P106(f335(f335(f243(x81291),x81292),x81294))+~P106(f335(f335(f243(x81291),f2(x81291)),x81293))+P106(f335(f335(f243(x81291),f335(f335(f87(x81291),x81292),x81293)),f335(f335(f87(x81291),x81294),x81293))) % 209.33/209.64 [8130]~P125(x81301)+~P106(f335(f335(f243(x81301),x81302),x81304))+~P106(f335(f335(f243(x81301),f2(x81301)),x81302))+P106(f335(f335(f243(x81301),f335(f335(f252(x81301),x81302),x81303)),f335(f335(f252(x81301),x81304),x81303))) % 209.33/209.64 [8131]~P67(x81311)+~P106(f335(f335(f243(x81311),x81312),x81314))+~P106(f335(f335(f243(x81311),f2(x81311)),x81313))+P106(f335(f335(f243(x81311),f335(f335(f299(x81311),x81312),x81313)),f335(f335(f299(x81311),x81314),x81313))) % 209.33/209.64 [8133]~P130(x81331)+~P106(f335(f335(f244(x81331),x81333),x81334))+~P106(f335(f335(f244(x81331),f2(x81331)),x81332))+P106(f335(f335(f244(x81331),f335(f335(f87(x81331),x81332),x81333)),f335(f335(f87(x81331),x81332),x81334))) % 209.33/209.64 [8134]~P123(x81341)+~P106(f335(f335(f244(x81341),x81343),x81344))+~P106(f335(f335(f244(x81341),f2(x81341)),x81342))+P106(f335(f335(f244(x81341),f335(f335(f87(x81341),x81342),x81343)),f335(f335(f87(x81341),x81342),x81344))) % 209.33/209.64 [8135]~P126(x81351)+~P106(f335(f335(f244(x81351),x81352),x81354))+~P106(f335(f335(f244(x81351),f2(x81351)),x81353))+P106(f335(f335(f244(x81351),f335(f335(f87(x81351),x81352),x81353)),f335(f335(f87(x81351),x81354),x81353))) % 209.33/209.64 [8136]~P130(x81361)+~P106(f335(f335(f244(x81361),x81362),x81364))+~P106(f335(f335(f244(x81361),f2(x81361)),x81363))+P106(f335(f335(f244(x81361),f335(f335(f87(x81361),x81362),x81363)),f335(f335(f87(x81361),x81364),x81363))) % 209.33/209.64 [8137]~P126(x81371)+~P106(f335(f335(f244(x81371),x81373),x81374))+~P106(f335(f335(f244(x81371),f2(x81371)),x81372))+P106(f335(f335(f244(x81371),f335(f335(f87(x81371),x81372),x81373)),f335(f335(f87(x81371),x81372),x81374))) % 209.33/209.64 [8138]~P68(x81381)+~P106(f335(f335(f244(x81381),x81382),x81384))+~P106(f335(f335(f244(x81381),f2(x81381)),x81383))+P106(f335(f335(f244(x81381),f335(f335(f299(x81381),x81382),x81383)),f335(f335(f299(x81381),x81384),x81383))) % 209.33/209.64 [8180]~P109(x81802)+P106(f335(f335(f244(f934(x81801,x81802)),x81804),x81803))+~P106(f335(f335(f243(f934(x81801,x81802)),x81804),x81803))+P106(f335(f335(f243(f934(x81801,x81802)),x81803),x81804)) % 209.33/209.64 [8221]P106(f335(f335(f337(x82211),x82212),x82213))+P106(f335(f335(f337(x82211),x82212),x82214))+~P106(f335(f335(f243(f934(x82211,a922)),x82214),x82213))+P106(f335(f335(f244(f934(x82211,a922)),x82214),f335(f335(f317(x82211),x82212),x82213))) % 209.33/209.64 [8377]P106(f335(f335(f337(x83771),x83772),x83773))+P106(f335(f335(f337(x83771),x83772),x83774))+~P106(f335(f335(f244(f934(x83771,a922)),x83774),f335(f335(f317(x83771),x83772),x83773)))+P106(f335(f335(f243(f934(x83771,a922)),x83774),x83773)) % 209.33/209.64 [8442]~P126(x84421)+P106(f335(f335(f244(x84421),x84423),x84422))+P106(f335(f335(f244(x84421),x84422),x84423))+~P106(f335(f335(f244(x84421),f335(f335(f87(x84421),x84424),x84422)),f335(f335(f87(x84421),x84424),x84423))) % 209.33/209.64 [8443]~P126(x84431)+P106(f335(f335(f244(x84431),x84433),x84432))+P106(f335(f335(f244(x84431),x84432),x84433))+~P106(f335(f335(f244(x84431),f335(f335(f87(x84431),x84432),x84434)),f335(f335(f87(x84431),x84433),x84434))) % 209.33/209.64 [8454]~P126(x84541)+P106(f335(f335(f244(x84541),x84544),f2(x84541)))+P106(f335(f335(f244(x84541),x84542),x84543))+~P106(f335(f335(f244(x84541),f335(f335(f87(x84541),x84542),x84544)),f335(f335(f87(x84541),x84543),x84544))) % 209.33/209.64 [8455]~P126(x84551)+P106(f335(f335(f244(x84551),x84554),f2(x84551)))+P106(f335(f335(f244(x84551),x84552),x84553))+~P106(f335(f335(f244(x84551),f335(f335(f87(x84551),x84554),x84552)),f335(f335(f87(x84551),x84554),x84553))) % 209.33/209.64 [8459]~P126(x84591)+P106(f335(f335(f244(x84591),x84592),x84593))+P106(f335(f335(f244(x84591),f2(x84591)),x84594))+~P106(f335(f335(f244(x84591),f335(f335(f87(x84591),x84594),x84593)),f335(f335(f87(x84591),x84594),x84592))) % 209.33/209.64 [8460]~P126(x84601)+P106(f335(f335(f244(x84601),x84602),x84603))+P106(f335(f335(f244(x84601),f2(x84601)),x84604))+~P106(f335(f335(f244(x84601),f335(f335(f87(x84601),x84603),x84604)),f335(f335(f87(x84601),x84602),x84604))) % 209.33/209.64 [8473]~P126(x84731)+P106(f335(f335(f244(x84731),x84732),f2(x84731)))+P106(f335(f335(f244(x84731),f2(x84731)),x84732))+~P106(f335(f335(f244(x84731),f335(f335(f87(x84731),x84733),x84732)),f335(f335(f87(x84731),x84734),x84732))) % 209.33/209.64 [8474]~P126(x84741)+P106(f335(f335(f244(x84741),x84742),f2(x84741)))+P106(f335(f335(f244(x84741),f2(x84741)),x84742))+~P106(f335(f335(f244(x84741),f335(f335(f87(x84741),x84742),x84743)),f335(f335(f87(x84741),x84742),x84744))) % 209.33/209.64 [8504]~P126(x85041)+~P106(f335(f335(f244(x85041),x85044),f2(x85041)))+P106(f335(f335(f243(x85041),x85042),x85043))+~P106(f335(f335(f243(x85041),f335(f335(f87(x85041),x85044),x85043)),f335(f335(f87(x85041),x85044),x85042))) % 209.33/209.64 [8505]~P126(x85051)+~P106(f335(f335(f244(x85051),x85054),f2(x85051)))+P106(f335(f335(f244(x85051),x85052),x85053))+~P106(f335(f335(f244(x85051),f335(f335(f87(x85051),x85054),x85053)),f335(f335(f87(x85051),x85054),x85052))) % 209.33/209.64 [8516]~P125(x85163)+~P106(f335(f335(f244(x85163),f84(x85163)),x85164))+P106(f335(f335(f243(a927),x85161),x85162))+~P106(f335(f335(f243(x85163),f335(f335(f252(x85163),x85164),x85161)),f335(f335(f252(x85163),x85164),x85162))) % 209.33/209.64 [8518]~P125(x85183)+~P106(f335(f335(f244(x85183),f84(x85183)),x85184))+P106(f335(f335(f244(a927),x85181),x85182))+~P106(f335(f335(f244(x85183),f335(f335(f252(x85183),x85184),x85181)),f335(f335(f252(x85183),x85184),x85182))) % 209.33/209.64 [8528]~P126(x85281)+P106(f335(f335(f243(x85281),x85282),x85283))+~P106(f335(f335(f244(x85281),f2(x85281)),x85284))+~P106(f335(f335(f243(x85281),f335(f335(f87(x85281),x85284),x85282)),f335(f335(f87(x85281),x85284),x85283))) % 209.33/209.64 [8529]~P130(x85291)+P106(f335(f335(f243(x85291),x85292),x85293))+~P106(f335(f335(f244(x85291),f2(x85291)),x85294))+~P106(f335(f335(f243(x85291),f335(f335(f87(x85291),x85294),x85292)),f335(f335(f87(x85291),x85294),x85293))) % 209.33/209.64 [8530]~P130(x85301)+P106(f335(f335(f243(x85301),x85302),x85303))+~P106(f335(f335(f244(x85301),f2(x85301)),x85304))+~P106(f335(f335(f243(x85301),f335(f335(f87(x85301),x85302),x85304)),f335(f335(f87(x85301),x85303),x85304))) % 209.33/209.64 [8531]~P126(x85311)+P106(f335(f335(f244(x85311),x85312),x85313))+~P106(f335(f335(f244(x85311),f2(x85311)),x85314))+~P106(f335(f335(f244(x85311),f335(f335(f87(x85311),x85314),x85312)),f335(f335(f87(x85311),x85314),x85313))) % 209.33/209.64 [8532]~P130(x85321)+P106(f335(f335(f244(x85321),x85322),x85323))+~P106(f335(f335(f243(x85321),f2(x85321)),x85324))+~P106(f335(f335(f244(x85321),f335(f335(f87(x85321),x85324),x85322)),f335(f335(f87(x85321),x85324),x85323))) % 209.33/209.64 [8533]~P131(x85331)+P106(f335(f335(f244(x85331),x85332),x85333))+~P106(f335(f335(f243(x85331),f2(x85331)),x85334))+~P106(f335(f335(f244(x85331),f335(f335(f87(x85331),x85334),x85332)),f335(f335(f87(x85331),x85334),x85333))) % 209.33/209.64 [8534]~P125(x85341)+~P106(f335(f335(f243(x85341),f2(x85341)),x85343))+P106(f335(f335(f244(x85341),x85342),x85343))+~P106(f335(f335(f244(x85341),f335(f335(f252(x85341),x85342),x85344)),f335(f335(f252(x85341),x85343),x85344))) % 209.33/209.64 [8535]~P130(x85351)+P106(f335(f335(f244(x85351),x85352),x85353))+~P106(f335(f335(f243(x85351),f2(x85351)),x85354))+~P106(f335(f335(f244(x85351),f335(f335(f87(x85351),x85352),x85354)),f335(f335(f87(x85351),x85353),x85354))) % 209.33/209.64 [8536]~P131(x85361)+P106(f335(f335(f244(x85361),x85362),x85363))+~P106(f335(f335(f243(x85361),f2(x85361)),x85364))+~P106(f335(f335(f244(x85361),f335(f335(f87(x85361),x85362),x85364)),f335(f335(f87(x85361),x85363),x85364))) % 209.33/209.64 [8579]P106(f335(f335(f337(x85791),x85792),x85793))+~P106(f335(f335(f243(f934(x85791,a922)),x85793),x85794))+~P106(f335(f335(f244(f934(x85791,a922)),x85793),x85794))+P106(f335(f335(f244(f934(x85791,a922)),x85793),f335(f335(f317(x85791),x85792),x85794))) % 209.33/209.64 [8958]E(f335(f335(f23(a1),f522(x89581,x89582,x89583,x89584)),f523(x89581,x89582,x89583,x89584)),x89584)+~P106(f335(f335(f244(a1),f2(a1)),x89583))+~P106(f335(f335(f243(a1),x89581),x89584))+P106(f335(f335(f243(a1),x89581),f335(f335(f86(a1),x89584),x89583))) % 209.33/209.64 [8959]E(f335(f335(f23(a1),f532(x89591,x89592,x89593,x89594)),f533(x89591,x89592,x89593,x89594)),x89594)+~P106(f335(f335(f244(a1),f2(a1)),x89593))+~P106(f335(f335(f244(a1),x89591),x89594))+P106(f335(f335(f244(a1),x89591),f335(f335(f86(a1),x89594),x89593))) % 209.33/209.64 [9109]~E(f335(f335(f171(x91091),x91093),f702(x91094,x91093,x91091,x91092)),f335(f335(f171(x91091),x91094),f702(x91094,x91093,x91091,x91092)))+E(f335(f335(f182(x91091),x91092),x91093),f335(f335(f182(x91091),x91092),x91094))+~P106(f335(f335(f243(a927),x91092),f335(f196(f928(x91091)),x91093)))+~P106(f335(f335(f243(a927),x91092),f335(f196(f928(x91091)),x91094))) % 209.33/209.64 [9175]~P106(f335(f335(f244(a1),f2(a1)),x91753))+~P106(f335(f335(f243(a1),x91751),x91754))+P106(f335(f335(f337(a1),f522(x91751,x91752,x91753,x91754)),x91752))+P106(f335(f335(f243(a1),x91751),f335(f335(f86(a1),x91754),x91753))) % 209.33/209.64 [9176]~P106(f335(f335(f244(a1),f2(a1)),x91763))+~P106(f335(f335(f244(a1),x91761),x91764))+P106(f335(f335(f337(a1),f532(x91761,x91762,x91763,x91764)),x91762))+P106(f335(f335(f244(a1),x91761),f335(f335(f86(a1),x91764),x91763))) % 209.33/209.64 [9216]~P101(x92161)+~P106(f335(f66(x92161),x92163))+~P106(f335(f335(f337(x92161),x92164),x92163))+P106(f335(f335(f243(x92161),f335(f335(f69(x92161,x92161,f108(x92161)),x92162),x92163)),f335(f335(f108(x92161),x92164),x92162))) % 209.33/209.64 [9217]~P108(x92171)+~P106(f335(f66(x92171),x92173))+~P106(f335(f335(f337(x92171),x92174),x92173))+P106(f335(f335(f243(x92171),f335(f335(f69(x92171,x92171,f241(x92171)),x92172),x92173)),f335(f335(f241(x92171),x92174),x92172))) % 209.33/209.64 [9261]E(f335(f335(f182(x92611),x92612),x92613),f335(f335(f182(x92611),x92612),x92614))+P106(f335(f335(f244(a927),f702(x92613,x92614,x92611,x92612)),x92612))+~P106(f335(f335(f243(a927),x92612),f335(f196(f928(x92611)),x92613)))+~P106(f335(f335(f243(a927),x92612),f335(f196(f928(x92611)),x92614))) % 209.33/209.64 [9266]~P106(f335(f335(f244(a1),f2(a1)),x92663))+~P106(f335(f335(f243(a1),x92661),x92662))+P106(f335(f335(f337(a1),f523(x92661,x92664,x92663,x92662)),f311(a1,f84(a1),x92663)))+P106(f335(f335(f243(a1),x92661),f335(f335(f86(a1),x92662),x92663))) % 209.33/209.64 [9267]~P106(f335(f335(f244(a1),f2(a1)),x92673))+~P106(f335(f335(f244(a1),x92671),x92672))+P106(f335(f335(f337(a1),f533(x92671,x92674,x92673,x92672)),f311(a1,f84(a1),x92673)))+P106(f335(f335(f244(a1),x92671),f335(f335(f86(a1),x92672),x92673))) % 209.33/209.64 [9586]~P108(x95861)+~P106(f335(f66(x95861),x95864))+P106(f335(f335(f337(x95861),f650(x95862,x95863,x95864,x95861)),x95864))+P106(f335(f335(f243(x95861),f335(f335(f69(x95861,x95861,f242(x95861)),x95862),x95864)),f335(f335(f242(x95861),x95863),x95862))) % 209.33/209.64 [9587]~P102(x95871)+~P106(f335(f66(x95871),x95874))+P106(f335(f335(f337(x95871),f661(x95872,x95873,x95874,x95871)),x95874))+P106(f335(f335(f243(x95871),f335(f335(f69(x95871,x95871,f117(x95871)),x95872),x95874)),f335(f335(f117(x95871),x95873),x95872))) % 209.33/209.64 [9712]~P102(x97121)+~P106(f335(f66(x97121),x97123))+~P106(f335(f335(f243(x97121),f661(x97122,x97124,x97123,x97121)),x97124))+P106(f335(f335(f243(x97121),f335(f335(f69(x97121,x97121,f117(x97121)),x97122),x97123)),f335(f335(f117(x97121),x97124),x97122))) % 209.33/209.64 [9713]~P108(x97131)+~P106(f335(f66(x97131),x97133))+~P106(f335(f335(f243(x97131),f650(x97132,x97134,x97133,x97131)),x97134))+P106(f335(f335(f243(x97131),f335(f335(f69(x97131,x97131,f242(x97131)),x97132),x97133)),f335(f335(f242(x97131),x97134),x97132))) % 209.33/209.64 [9715]~P106(f335(f335(f243(a1),f2(a1)),x97154))+~P106(f335(f335(f244(a1),f2(a1)),x97153))+~P106(f335(f335(f244(a1),x97154),x97151))+P106(f335(f335(f244(a1),f335(f335(f86(a1),f335(f335(f87(a1),x97151),f50(a1,x97152,x97153))),x97154)),f335(f335(f87(a1),x97151),x97153))) % 209.33/209.64 [10104]E(x101041,x101042)+P106(f335(f335(f337(f933(f928(x101043),f928(x101043))),f335(f335(f260(f928(x101043),f928(x101043)),x101042),x101041)),f154(x101043,x101044)))+P106(f335(f335(f337(f933(f928(x101043),f928(x101043))),f335(f335(f260(f928(x101043),f928(x101043)),x101041),x101042)),f154(x101043,x101044)))+~P106(f335(f335(f337(f933(x101043,x101043)),f335(f335(f260(x101043,x101043),f680(x101041,x101042,x101044,x101043)),f681(x101041,x101042,x101044,x101043))),x101044)) % 209.33/209.64 [10105]E(x101051,x101052)+P106(f335(f335(f337(f933(f928(x101053),f928(x101053))),f335(f335(f260(f928(x101053),f928(x101053)),x101052),x101051)),f154(x101053,x101054)))+P106(f335(f335(f337(f933(f928(x101053),f928(x101053))),f335(f335(f260(f928(x101053),f928(x101053)),x101051),x101052)),f154(x101053,x101054)))+~P106(f335(f335(f337(f933(x101053,x101053)),f335(f335(f260(x101053,x101053),f681(x101051,x101052,x101054,x101053)),f680(x101051,x101052,x101054,x101053))),x101054)) % 209.33/209.64 [7681]~P102(x76811)+~P106(f335(f335(f243(x76811),x76813),x76814))+~P106(f335(f335(f243(x76811),x76812),x76814))+P106(f335(f335(f243(x76811),f335(f335(f117(x76811),x76812),x76813)),x76814)) % 209.33/209.64 [7684]~P108(x76841)+~P106(f335(f335(f243(x76841),x76843),x76844))+~P106(f335(f335(f243(x76841),x76842),x76844))+P106(f335(f335(f243(x76841),f335(f335(f242(x76841),x76842),x76843)),x76844)) % 209.33/209.64 [7685]~P108(x76851)+~P106(f335(f335(f244(x76851),x76853),x76854))+~P106(f335(f335(f244(x76851),x76852),x76854))+P106(f335(f335(f244(x76851),f335(f335(f242(x76851),x76852),x76853)),x76854)) % 209.33/209.64 [7997]~E(x79971,x79973)+E(f146(a927,f335(f310(a927,x79971),x79972)),f335(f335(f158(a927),x79973),x79974))+~E(f146(a927,f335(f310(a927,f335(f335(f86(a927),x79971),f84(a927))),x79972)),x79974)+~P106(f335(f335(f244(a927),x79971),x79972)) % 209.33/209.64 [8005]~P108(x80051)+P106(f335(f335(f243(x80051),x80052),x80053))+P106(f335(f335(f243(x80051),x80054),x80053))+~P106(f335(f335(f243(x80051),f335(f335(f241(x80051),x80054),x80052)),x80053)) % 209.33/209.64 [8006]~P108(x80061)+P106(f335(f335(f244(x80061),x80062),x80063))+P106(f335(f335(f244(x80061),x80064),x80063))+~P106(f335(f335(f244(x80061),f335(f335(f241(x80061),x80064),x80062)),x80063)) % 209.33/209.64 [8279]~P67(x82791)+~P106(f335(f335(f244(x82791),f2(x82791)),x82793))+~P106(f335(f335(f243(x82791),x82792),f335(f335(f299(x82791),x82794),x82793)))+P106(f335(f335(f243(x82791),f335(f335(f87(x82791),x82792),x82793)),x82794)) % 209.33/209.64 [8280]~P68(x82801)+~P106(f335(f335(f244(x82801),f2(x82801)),x82803))+~P106(f335(f335(f243(x82801),x82802),f335(f335(f299(x82801),x82804),x82803)))+P106(f335(f335(f243(x82801),f335(f335(f87(x82801),x82802),x82803)),x82804)) % 209.33/209.64 [8281]~P67(x82811)+~P106(f335(f335(f244(x82811),f2(x82811)),x82813))+~P106(f335(f335(f243(x82811),x82812),f335(f335(f87(x82811),x82814),x82813)))+P106(f335(f335(f243(x82811),f335(f335(f299(x82811),x82812),x82813)),x82814)) % 209.33/209.64 [8283]~P68(x82831)+~P106(f335(f335(f244(x82831),f2(x82831)),x82833))+~P106(f335(f335(f243(x82831),x82832),f335(f335(f87(x82831),x82834),x82833)))+P106(f335(f335(f243(x82831),f335(f335(f299(x82831),x82832),x82833)),x82834)) % 209.33/209.64 [8284]~P67(x82841)+~P106(f335(f335(f244(x82841),f2(x82841)),x82843))+~P106(f335(f335(f244(x82841),x82842),f335(f335(f299(x82841),x82844),x82843)))+P106(f335(f335(f244(x82841),f335(f335(f87(x82841),x82842),x82843)),x82844)) % 209.33/209.64 [8285]~P68(x82851)+~P106(f335(f335(f244(x82851),f2(x82851)),x82853))+~P106(f335(f335(f244(x82851),x82852),f335(f335(f299(x82851),x82854),x82853)))+P106(f335(f335(f244(x82851),f335(f335(f87(x82851),x82852),x82853)),x82854)) % 209.33/209.64 [8286]~P67(x82861)+~P106(f335(f335(f244(x82861),f2(x82861)),x82863))+~P106(f335(f335(f244(x82861),x82862),f335(f335(f87(x82861),x82864),x82863)))+P106(f335(f335(f244(x82861),f335(f335(f299(x82861),x82862),x82863)),x82864)) % 209.33/209.64 [8288]~P68(x82881)+~P106(f335(f335(f244(x82881),f2(x82881)),x82883))+~P106(f335(f335(f244(x82881),x82882),f335(f335(f87(x82881),x82884),x82883)))+P106(f335(f335(f244(x82881),f335(f335(f299(x82881),x82882),x82883)),x82884)) % 209.33/209.64 [8412]~P67(x84121)+~P106(f335(f335(f244(x84121),f2(x84121)),x84124))+P106(f335(f335(f243(x84121),x84122),f335(f335(f87(x84121),x84123),x84124)))+~P106(f335(f335(f243(x84121),f335(f335(f299(x84121),x84122),x84124)),x84123)) % 209.33/209.64 [8413]~P67(x84131)+~P106(f335(f335(f244(x84131),f2(x84131)),x84134))+P106(f335(f335(f243(x84131),x84132),f335(f335(f299(x84131),x84133),x84134)))+~P106(f335(f335(f243(x84131),f335(f335(f87(x84131),x84132),x84134)),x84133)) % 209.33/209.64 [8415]~P68(x84151)+~P106(f335(f335(f244(x84151),f2(x84151)),x84154))+P106(f335(f335(f243(x84151),x84152),f335(f335(f87(x84151),x84153),x84154)))+~P106(f335(f335(f243(x84151),f335(f335(f299(x84151),x84152),x84154)),x84153)) % 209.33/209.64 [8416]~P68(x84161)+~P106(f335(f335(f244(x84161),f2(x84161)),x84164))+P106(f335(f335(f243(x84161),x84162),f335(f335(f299(x84161),x84163),x84164)))+~P106(f335(f335(f243(x84161),f335(f335(f87(x84161),x84162),x84164)),x84163)) % 209.33/209.64 [8417]~P67(x84171)+~P106(f335(f335(f244(x84171),f2(x84171)),x84174))+P106(f335(f335(f244(x84171),x84172),f335(f335(f87(x84171),x84173),x84174)))+~P106(f335(f335(f244(x84171),f335(f335(f299(x84171),x84172),x84174)),x84173)) % 209.33/209.64 [8418]~P67(x84181)+~P106(f335(f335(f244(x84181),f2(x84181)),x84184))+P106(f335(f335(f244(x84181),x84182),f335(f335(f299(x84181),x84183),x84184)))+~P106(f335(f335(f244(x84181),f335(f335(f87(x84181),x84182),x84184)),x84183)) % 209.33/209.64 [8420]~P68(x84201)+~P106(f335(f335(f244(x84201),f2(x84201)),x84204))+P106(f335(f335(f244(x84201),x84202),f335(f335(f87(x84201),x84203),x84204)))+~P106(f335(f335(f244(x84201),f335(f335(f299(x84201),x84202),x84204)),x84203)) % 209.33/209.64 [8421]~P68(x84211)+~P106(f335(f335(f244(x84211),f2(x84211)),x84214))+P106(f335(f335(f244(x84211),x84212),f335(f335(f299(x84211),x84213),x84214)))+~P106(f335(f335(f244(x84211),f335(f335(f87(x84211),x84212),x84214)),x84213)) % 209.33/209.64 [8582]~P68(x85821)+~P106(f335(f335(f244(x85821),x85823),f2(x85821)))+~P106(f335(f335(f243(x85821),f335(f335(f299(x85821),x85824),x85823)),x85822))+P106(f335(f335(f243(x85821),f335(f335(f87(x85821),x85822),x85823)),x85824)) % 209.33/209.64 [8583]~P68(x85831)+~P106(f335(f335(f244(x85831),x85833),f2(x85831)))+~P106(f335(f335(f243(x85831),f335(f335(f87(x85831),x85834),x85833)),x85832))+P106(f335(f335(f243(x85831),f335(f335(f299(x85831),x85832),x85833)),x85834)) % 209.33/209.64 [8584]~P68(x85841)+~P106(f335(f335(f244(x85841),x85843),f2(x85841)))+~P106(f335(f335(f244(x85841),f335(f335(f299(x85841),x85844),x85843)),x85842))+P106(f335(f335(f244(x85841),f335(f335(f87(x85841),x85842),x85843)),x85844)) % 209.33/209.64 [8585]~P68(x85851)+~P106(f335(f335(f244(x85851),x85853),f2(x85851)))+~P106(f335(f335(f244(x85851),f335(f335(f87(x85851),x85854),x85853)),x85852))+P106(f335(f335(f244(x85851),f335(f335(f299(x85851),x85852),x85853)),x85854)) % 209.33/209.64 [8597]~P106(f335(x85971,x85974))+~P106(f335(f335(f244(a927),x85972),f335(f335(f87(a927),x85973),f335(a119,x85974))))+P106(f335(x85971,f335(f335(f41(a927),x85972),x85973)))+~P106(f335(f335(f243(a927),f335(f335(f87(a927),x85973),x85974)),x85972)) % 209.33/209.64 [8806]~P102(x88061)+~P106(f335(f66(x88061),x88064))+~P106(f335(f335(f337(x88061),x88062),x88064))+P106(f335(f335(f243(x88061),f335(f335(f117(x88061),x88062),x88063)),f335(f335(f69(x88061,x88061,f117(x88061)),x88063),x88064))) % 209.33/209.64 [8807]~P108(x88071)+~P106(f335(f66(x88071),x88074))+~P106(f335(f335(f337(x88071),x88072),x88074))+P106(f335(f335(f243(x88071),f335(f335(f242(x88071),x88072),x88073)),f335(f335(f69(x88071,x88071,f242(x88071)),x88073),x88074))) % 209.33/209.64 [8960]~P106(f335(f66(x89601),x89602))+E(f335(f40(x89601),f335(f335(f23(f934(x89601,a922)),x89602),f335(f335(f317(x89601),x89603),x89604))),f335(f335(f23(a927),f335(f40(x89601),f335(f335(f23(f934(x89601,a922)),x89602),x89604))),f84(a927)))+P106(f335(f335(f337(x89601),x89603),x89604))+~P106(f335(f335(f337(x89601),x89603),x89602)) % 209.33/209.64 [9037]E(f335(f335(f86(a1),f526(x90371,x90372,x90373,x90374)),f527(x90371,x90372,x90373,x90374)),x90374)+~P106(f335(f335(f244(a1),f2(a1)),x90373))+~P106(f335(f335(f243(a1),x90374),x90371))+P106(f335(f335(f243(a1),f335(f335(f23(a1),x90374),x90373)),x90371)) % 209.33/209.64 [9038]E(f335(f335(f86(a1),f534(x90381,x90382,x90383,x90384)),f535(x90381,x90382,x90383,x90384)),x90384)+~P106(f335(f335(f244(a1),f2(a1)),x90383))+~P106(f335(f335(f244(a1),x90384),x90381))+P106(f335(f335(f244(a1),f335(f335(f23(a1),x90384),x90383)),x90381)) % 209.33/209.64 [9246]~P106(f335(f335(f244(a1),f2(a1)),x92463))+~P106(f335(f335(f243(a1),x92464),x92461))+P106(f335(f335(f337(a1),f526(x92461,x92462,x92463,x92464)),x92462))+P106(f335(f335(f243(a1),f335(f335(f23(a1),x92464),x92463)),x92461)) % 209.33/209.64 [9247]~P106(f335(f335(f244(a1),f2(a1)),x92473))+~P106(f335(f335(f244(a1),x92474),x92471))+P106(f335(f335(f337(a1),f534(x92471,x92472,x92473,x92474)),x92472))+P106(f335(f335(f244(a1),f335(f335(f23(a1),x92474),x92473)),x92471)) % 209.33/209.64 [9334]~P106(f335(f335(f244(a1),f2(a1)),x93342))+~P106(f335(f335(f243(a1),x93341),x93343))+P106(f335(f335(f337(a1),f527(x93343,x93344,x93342,x93341)),f311(a1,f84(a1),x93342)))+P106(f335(f335(f243(a1),f335(f335(f23(a1),x93341),x93342)),x93343)) % 209.33/209.64 [9335]~P106(f335(f335(f244(a1),f2(a1)),x93352))+~P106(f335(f335(f244(a1),x93351),x93353))+P106(f335(f335(f337(a1),f535(x93353,x93354,x93352,x93351)),f311(a1,f84(a1),x93352)))+P106(f335(f335(f244(a1),f335(f335(f23(a1),x93351),x93352)),x93353)) % 209.33/209.64 [9353]~P106(f335(f335(f243(a1),f2(a1)),x93534))+~P106(f335(f335(f244(a1),f2(a1)),x93533))+~P106(f335(f335(f244(a1),x93534),x93531))+P106(f335(f335(f243(a1),f2(a1)),f335(f335(f86(a1),f335(f335(f87(a1),x93531),f50(a1,x93532,x93533))),x93534))) % 209.33/209.64 [9382]E(x93821,x93822)+~P39(x93823,x93824)+~P106(f335(f335(f337(f933(x93823,x93823)),f335(f335(f260(x93823,x93823),x93822),x93821)),x93824))+~P106(f335(f335(f337(f933(x93823,x93823)),f335(f335(f260(x93823,x93823),x93821),x93822)),x93824)) % 209.33/209.64 [9414]~P101(x94141)+~P106(f335(f66(x94141),x94144))+~P106(f335(f335(f243(x94141),x94142),f648(x94143,x94142,x94144,x94141)))+P106(f335(f335(f243(x94141),f335(f335(f108(x94141),x94142),x94143)),f335(f335(f69(x94141,x94141,f108(x94141)),x94143),x94144))) % 209.33/209.64 [9415]~P108(x94151)+~P106(f335(f66(x94151),x94154))+~P106(f335(f335(f243(x94151),x94152),f649(x94153,x94152,x94154,x94151)))+P106(f335(f335(f243(x94151),f335(f335(f241(x94151),x94152),x94153)),f335(f335(f69(x94151,x94151,f241(x94151)),x94153),x94154))) % 209.33/209.64 [9429]~P106(f335(f335(f243(a1),x94294),f2(a1)))+~P106(f335(f335(f244(a1),f2(a1)),x94292))+~P106(f335(f335(f244(a1),x94291),x94294))+P106(f335(f335(f244(a1),f335(f335(f87(a1),x94291),x94292)),f335(f335(f86(a1),f335(f335(f87(a1),x94291),f50(a1,x94293,x94292))),x94294))) % 209.33/209.64 [9454]P106(f335(f66(x94541),x94542))+~P106(f335(f66(x94541),x94543))+~P106(f335(f335(f337(f934(x94541,a922)),x94542),f335(f335(f65(x94541),x94543),x94544)))+~P106(f335(f335(f243(f934(f933(x94541,x94541),a922)),x94544),f335(f335(f262(x94541,x94541),x94543),f335(f16(f934(x94541,a922),x94541),x94543)))) % 209.33/209.64 [9478]~P108(x94781)+~P106(f335(f66(x94781),x94784))+P106(f335(f335(f337(x94781),f649(x94782,x94783,x94784,x94781)),x94784))+P106(f335(f335(f243(x94781),f335(f335(f241(x94781),x94783),x94782)),f335(f335(f69(x94781,x94781,f241(x94781)),x94782),x94784))) % 209.33/209.64 [9479]~P101(x94791)+~P106(f335(f66(x94791),x94794))+P106(f335(f335(f337(x94791),f648(x94792,x94793,x94794,x94791)),x94794))+P106(f335(f335(f243(x94791),f335(f335(f108(x94791),x94793),x94792)),f335(f335(f69(x94791,x94791,f108(x94791)),x94792),x94794))) % 209.33/209.64 [9879]~P106(f335(f66(x98792),x98794))+~P106(f335(f66(x98791),x98793))+~P106(f335(f335(f243(a927),f335(f40(x98792),x98794)),f335(f40(x98791),x98793)))+P106(f335(f335(f243(f934(x98791,a922)),f335(f318(x98792,x98791,f365(x98793,x98791,x98794,x98792)),x98794)),x98793)) % 209.33/209.64 [9527]~P106(f335(f335(f337(x95271),x95272),x95274))+P106(f335(f335(f337(x95271),x95272),x95273))+~P106(f335(f335(f244(f934(x95271,a922)),x95274),f335(f335(f317(x95271),x95272),x95273)))+P106(f335(f335(f244(f934(x95271,a922)),f335(f335(f23(f934(x95271,a922)),x95274),f335(f335(f317(x95271),x95272),f195(f934(x95271,a922))))),x95273)) % 209.33/209.64 [9693]~P106(f335(f335(f337(x96931),x96932),x96934))+P106(f335(f335(f337(x96931),x96932),x96933))+P106(f335(f335(f244(f934(x96931,a922)),x96934),f335(f335(f317(x96931),x96932),x96933)))+~P106(f335(f335(f244(f934(x96931,a922)),f335(f335(f23(f934(x96931,a922)),x96934),f335(f335(f317(x96931),x96932),f195(f934(x96931,a922))))),x96933)) % 209.33/209.64 [9718]P106(f335(f335(f337(x97181),x97182),x97183))+~P106(f335(f335(f243(f934(x97181,a922)),x97184),x97183))+P106(f335(f335(f244(f934(x97181,a922)),x97184),f335(f335(f317(x97181),x97182),x97183)))+~P106(f335(f335(f244(f934(x97181,a922)),f335(f335(f23(f934(x97181,a922)),x97184),f335(f335(f317(x97181),x97182),f195(f934(x97181,a922))))),x97183)) % 209.33/209.64 [9723]~P106(f335(f335(f337(x97231),x97233),x97232))+~P106(f335(f335(f244(f934(x97231,a922)),x97232),x97234))+P106(f335(f335(f244(f934(x97231,a922)),x97232),f335(f335(f317(x97231),x97233),x97234)))+~P106(f335(f335(f244(f934(x97231,a922)),f335(f335(f23(f934(x97231,a922)),x97232),f335(f335(f317(x97231),x97233),f195(f934(x97231,a922))))),x97234)) % 209.33/209.64 [9739]~P106(f335(f335(f243(f934(x97391,a922)),x97392),x97394))+~P106(f335(f335(f244(f934(x97391,a922)),x97392),x97394))+P106(f335(f335(f244(f934(x97391,a922)),x97392),f335(f335(f317(x97391),x97393),x97394)))+~P106(f335(f335(f244(f934(x97391,a922)),f335(f335(f23(f934(x97391,a922)),x97392),f335(f335(f317(x97391),x97393),f195(f934(x97391,a922))))),x97394)) % 209.33/209.64 [9784]~P110(x97842)+~P64(x97841)+~P106(f335(f335(f243(f934(x97841,x97842)),x97843),x97844))+P106(f335(f62(x97841),f335(f335(f18(x97841,x97842,a922),f335(f335(f8(x97842,f934(x97842,a922),x97841),f243(x97842)),x97843)),x97844))) % 209.33/209.64 [9928]~P110(x99282)+~P64(x99281)+P106(f335(f335(f243(f934(x99281,x99282)),x99283),x99284))+~P106(f335(f62(x99281),f335(f335(f18(x99281,x99282,a922),f335(f335(f8(x99282,f934(x99282,a922),x99281),f243(x99282)),x99283)),x99284))) % 209.33/209.64 [10095]E(f335(f335(f171(x100951),f335(f335(f171(f928(x100951)),f186(x100951,x100952)),x100953)),x100954),f335(f335(f171(x100951),f335(f335(f171(f928(x100951)),x100952),x100954)),x100953))+~P106(f335(f335(f244(a927),x100953),f335(f196(f928(f928(x100951))),f186(x100951,x100952))))+~P13(a927,f335(f175(a927),f335(f335(f161(f928(x100951),a927),f196(f928(x100951))),x100952)))+~P106(f335(f335(f244(a927),x100954),f335(f196(f928(f928(x100951))),f335(f143(f928(x100951),f335(f335(f8(a927,a922,f928(x100951)),f335(f244(a927),x100953)),f196(f928(x100951)))),x100952)))) % 209.33/209.64 [10117]~P106(f335(f335(f337(f933(a927,a927)),x101174),x101171))+~P106(f335(f335(f337(f933(f933(a927,a927),f933(a927,a927))),f335(f335(f260(f933(a927,a927),f933(a927,a927)),x101174),x101172)),a38))+~P106(f335(f335(f337(f933(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922))),f335(f335(f260(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922)),x101171),x101173)),a74))+P106(f335(f335(f337(f933(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922))),f335(f335(f260(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922)),x101171),f335(f335(f317(f933(a927,a927)),x101172),x101173))),a74)) % 209.33/209.64 [10118]~P106(f335(f335(f337(f933(a927,a927)),x101184),x101181))+~P106(f335(f335(f337(f933(f933(a927,a927),f933(a927,a927))),f335(f335(f260(f933(a927,a927),f933(a927,a927)),x101184),x101182)),a76))+~P106(f335(f335(f337(f933(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922))),f335(f335(f260(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922)),x101181),x101183)),a77))+P106(f335(f335(f337(f933(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922))),f335(f335(f260(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922)),x101181),f335(f335(f317(f933(a927,a927)),x101182),x101183))),a77)) % 209.33/209.64 [10006]~P110(x100062)+~P64(x100061)+~P106(f335(f335(f244(f934(x100061,x100062)),x100063),x100064))+P106(f335(f61(x100061),f335(f335(f8(a922,a922,x100061),a330),f335(f335(f18(x100061,x100062,a922),f335(f335(f8(x100062,f934(x100062,a922),x100061),a332),x100063)),x100064)))) % 209.33/209.64 [10129]~P106(f335(f335(f337(f933(a927,a927)),x101294),x101293))+~P106(f335(f335(f337(f933(f933(a927,a927),f933(a927,a927))),f335(f335(f260(f933(a927,a927),f933(a927,a927)),x101291),x101294)),a38))+~P106(f335(f335(f337(f933(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922))),f335(f335(f260(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922)),x101292),x101293)),a39))+P106(f335(f335(f337(f933(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922))),f335(f335(f260(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922)),f335(f335(f317(f933(a927,a927)),x101291),x101292)),x101293)),a39)) % 209.33/209.64 [10130]~P106(f335(f335(f337(f933(a927,a927)),x101304),x101303))+~P106(f335(f335(f337(f933(f933(a927,a927),f933(a927,a927))),f335(f335(f260(f933(a927,a927),f933(a927,a927)),x101301),x101304)),a76))+~P106(f335(f335(f337(f933(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922))),f335(f335(f260(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922)),x101302),x101303)),a75))+P106(f335(f335(f337(f933(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922))),f335(f335(f260(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922)),f335(f335(f317(f933(a927,a927)),x101301),x101302)),x101303)),a75)) % 209.33/209.64 [6279]~P7(x62794,x62791)+~P106(f335(f335(x62791,x62792),x62795))+P106(f335(f335(x62791,x62792),x62793))+~P106(f335(f335(x62791,x62795),x62793)) % 209.33/209.64 [6280]~P50(x62804,x62801)+~P106(f335(f335(x62801,x62802),x62805))+P106(f335(f335(x62801,x62802),x62803))+~P106(f335(f335(x62801,x62805),x62803)) % 209.33/209.64 [6281]~P15(x62814,x62811)+~P106(f335(f335(x62811,x62812),x62815))+P106(f335(f335(x62811,x62812),x62813))+~P106(f335(f335(x62811,x62815),x62813)) % 209.33/209.64 [8945]~P7(x89454,x89453)+~P106(f335(x89451,x89455))+P106(f335(x89452,f850(x89452,x89451,x89453,x89454)))+P106(f335(x89451,f849(x89452,x89451,x89453,x89454))) % 209.33/209.64 [9183]~P7(x91834,x91833)+~P106(f335(x91832,x91835))+~P106(f335(x91831,f849(x91831,x91832,x91833,x91834)))+P106(f335(x91831,f850(x91831,x91832,x91833,x91834))) % 209.33/209.64 [9366]~P7(x93664,x93663)+~P106(f335(x93661,x93665))+P106(f335(f335(f337(x93664),f850(x93662,x93661,x93663,x93664)),f278(x93664,x93663)))+P106(f335(x93661,f849(x93662,x93661,x93663,x93664))) % 209.33/209.64 [9485]~P7(x94851,x94854)+~P106(f335(x94853,x94855))+~P106(f335(x94852,f849(x94852,x94853,x94854,x94851)))+P106(f335(f335(f337(x94851),f850(x94852,x94853,x94854,x94851)),f278(x94851,x94854))) % 209.33/209.64 [9773]~P38(x97731,x97734)+P106(f335(f335(f337(f933(f928(x97731),f928(x97731))),f335(f335(f260(f928(x97731),f928(x97731)),x97732),x97733)),f154(x97731,x97734)))+~P106(f335(f335(f337(f933(f928(x97731),f928(x97731))),f335(f335(f260(f928(x97731),f928(x97731)),x97732),x97735)),f154(x97731,x97734)))+~P106(f335(f335(f337(f933(f928(x97731),f928(x97731))),f335(f335(f260(f928(x97731),f928(x97731)),x97735),x97733)),f154(x97731,x97734))) % 209.33/209.64 [5528]~P4(x55285)+E(x55281,x55282)+~E(x55283,x55284)+~E(f335(f335(f23(x55285),x55283),x55284),f335(f335(f23(x55285),x55281),x55282)) % 209.33/209.64 [6393]~P17(x63935,x63931,x63933)+E(f335(f335(x63931,x63932),f335(x63933,x63934)),f335(x63933,x63934))+~P106(f335(f66(x63935),x63934))+~P106(f335(f335(f337(x63935),x63932),x63934)) % 209.33/209.64 [6579]~P78(x65791)+~E(f335(f335(f23(x65791),x65794),x65795),f335(f335(f23(x65791),x65792),x65793))+~P106(f335(f335(f243(x65791),x65794),x65795))+P106(f335(f335(f243(x65791),x65792),x65793)) % 209.33/209.64 [6581]~P78(x65811)+~E(f335(f335(f23(x65811),x65814),x65815),f335(f335(f23(x65811),x65812),x65813))+~P106(f335(f335(f244(x65811),x65814),x65815))+P106(f335(f335(f244(x65811),x65812),x65813)) % 209.33/209.64 [7549]~E(x75492,f335(f335(f158(x75491),x75494),x75495))+P106(f335(f335(f337(f928(x75491)),x75492),f168(x75491,x75493)))+~P106(f335(f335(f337(f928(x75491)),x75495),f168(x75491,x75493)))+~P106(f335(f335(f337(x75491),x75494),x75493)) % 209.33/209.64 [7946]~E(f335(f196(f928(x79461)),x79463),f335(f196(f928(x79462)),x79464))+~E(f335(f335(f161(f933(x79461,x79462),x79462),f264(x79461,x79462)),x79465),x79464)+~E(f335(f335(f161(f933(x79461,x79462),x79461),f259(x79461,x79462)),x79465),x79463)+E(f335(f335(f188(x79461,x79462),x79463),x79464),x79465) % 209.33/209.64 [8275]~P110(x82751)+P106(f335(f335(f244(f934(x82751,a922)),f311(x82751,x82752,x82753)),f311(x82751,x82754,x82755)))+~P106(f335(f335(f243(x82751),x82754),x82755))+P106(f335(f335(f243(x82751),x82752),x82753)) % 209.33/209.64 [8370]~P110(x83701)+P106(f335(f335(f243(f934(x83701,a922)),f311(x83701,x83702,x83703)),f311(x83701,x83704,x83705)))+~P106(f335(f335(f243(x83701),x83703),x83705))+~P106(f335(f335(f243(x83701),x83704),x83702)) % 209.33/209.64 [8489]~P108(x84891)+P106(f335(f335(f243(x84891),x84892),x84893))+P106(f335(f335(f243(x84891),x84894),x84893))+~P106(f335(f335(f243(f934(x84891,a922)),f335(f310(x84891,x84893),x84892)),f335(f310(x84891,x84894),x84895))) % 209.33/209.64 [8490]~P108(x84901)+P106(f335(f335(f243(x84901),x84902),x84903))+P106(f335(f335(f243(x84901),x84902),x84904))+~P106(f335(f335(f243(f934(x84901,a922)),f335(f310(x84901,x84903),x84902)),f335(f310(x84901,x84905),x84904))) % 209.33/209.64 [8723]~P110(x87231)+~P106(f335(f335(f243(f934(x87231,a922)),f311(x87231,x87234,x87232)),f311(x87231,x87235,x87233)))+P106(f335(f335(f243(x87231),x87232),x87233))+~P106(f335(f335(f243(x87231),x87234),x87232)) % 209.33/209.64 [8724]~P110(x87241)+~P106(f335(f335(f244(f934(x87241,a922)),f311(x87241,x87244,x87242)),f311(x87241,x87245,x87243)))+P106(f335(f335(f243(x87241),x87242),x87243))+~P106(f335(f335(f243(x87241),x87244),x87242)) % 209.33/209.64 [8725]~P110(x87251)+~P106(f335(f335(f243(f934(x87251,a922)),f311(x87251,x87253,x87254)),f311(x87251,x87252,x87255)))+P106(f335(f335(f243(x87251),x87252),x87253))+~P106(f335(f335(f243(x87251),x87253),x87254)) % 209.33/209.64 [8726]~P110(x87261)+~P106(f335(f335(f244(f934(x87261,a922)),f311(x87261,x87263,x87264)),f311(x87261,x87262,x87265)))+P106(f335(f335(f243(x87261),x87262),x87263))+~P106(f335(f335(f243(x87261),x87263),x87264)) % 209.33/209.64 [6278]~P17(x62782,x62785,x62783)+E(x62781,f195(f934(x62782,a922)))+~P106(f335(f66(x62782),x62781))+E(f335(x62783,f335(f335(f317(x62782),x62784),x62781)),f335(f335(x62785,x62784),f335(x62783,x62781))) % 209.33/209.64 [7046]~E(x70461,x70462)+~E(f335(f335(f108(f934(x70463,a922)),x70464),x70465),f195(f934(x70463,a922)))+~P106(f335(f335(f337(x70463),x70462),x70465))+~P106(f335(f335(f337(x70463),x70461),x70464)) % 209.33/209.64 [7124]~P18(x71242,x71245,x71241)+~P106(f335(f66(x71242),x71244))+E(f335(x71241,f335(f335(f317(x71242),x71243),x71244)),f335(f335(f69(x71242,x71242,x71245),x71243),x71244))+P106(f335(f335(f337(x71242),x71243),x71244)) % 209.33/209.64 [7189]~P75(x71892)+~P106(f335(f66(x71891),x71895))+E(f335(f335(f6(x71891,x71892),x71893),f335(f335(f317(x71891),x71894),x71895)),f335(f335(f86(x71892),f335(x71893,x71894)),f335(f335(f6(x71891,x71892),x71893),x71895)))+P106(f335(f335(f337(x71891),x71894),x71895)) % 209.33/209.64 [7191]~P71(x71912)+~P106(f335(f66(x71911),x71915))+E(f335(f335(f9(x71911,x71912),x71913),f335(f335(f317(x71911),x71914),x71915)),f335(f335(f87(x71912),f335(x71913,x71914)),f335(f335(f9(x71911,x71912),x71913),x71915)))+P106(f335(f335(f337(x71911),x71914),x71915)) % 209.33/209.64 [7694]~P18(x76942,x76945,x76941)+~P106(f335(f66(x76942),x76944))+E(f335(x76941,f335(f335(f317(x76942),x76943),x76944)),x76943)+~E(f335(f335(f23(f934(x76942,a922)),x76944),f335(f335(f317(x76942),x76943),f195(f934(x76942,a922)))),f195(f934(x76942,a922))) % 209.33/209.64 [8048]~P101(x80481)+~P106(f335(f335(f243(x80481),x80483),x80485))+~P106(f335(f335(f243(x80481),x80482),x80484))+P106(f335(f335(f243(x80481),f335(f335(f108(x80481),x80482),x80483)),f335(f335(f108(x80481),x80484),x80485))) % 209.33/209.64 [8049]~P102(x80491)+~P106(f335(f335(f243(x80491),x80493),x80495))+~P106(f335(f335(f243(x80491),x80492),x80494))+P106(f335(f335(f243(x80491),f335(f335(f117(x80491),x80492),x80493)),f335(f335(f117(x80491),x80494),x80495))) % 209.33/209.64 [8050]~P84(x80501)+~P106(f335(f335(f243(x80501),x80503),x80505))+~P106(f335(f335(f243(x80501),x80502),x80504))+P106(f335(f335(f243(x80501),f335(f335(f86(x80501),x80502),x80503)),f335(f335(f86(x80501),x80504),x80505))) % 209.33/209.64 [8051]~P108(x80511)+~P106(f335(f335(f243(x80511),x80513),x80515))+~P106(f335(f335(f243(x80511),x80512),x80514))+P106(f335(f335(f243(x80511),f335(f335(f241(x80511),x80512),x80513)),f335(f335(f241(x80511),x80514),x80515))) % 209.33/209.64 [8052]~P108(x80521)+~P106(f335(f335(f243(x80521),x80523),x80525))+~P106(f335(f335(f243(x80521),x80522),x80524))+P106(f335(f335(f243(x80521),f335(f335(f242(x80521),x80522),x80523)),f335(f335(f242(x80521),x80524),x80525))) % 209.33/209.64 [8053]~P86(x80531)+~P106(f335(f335(f243(x80531),x80533),x80535))+~P106(f335(f335(f244(x80531),x80532),x80534))+P106(f335(f335(f244(x80531),f335(f335(f86(x80531),x80532),x80533)),f335(f335(f86(x80531),x80534),x80535))) % 209.33/209.64 [8054]~P86(x80541)+~P106(f335(f335(f243(x80541),x80542),x80544))+~P106(f335(f335(f244(x80541),x80543),x80545))+P106(f335(f335(f244(x80541),f335(f335(f86(x80541),x80542),x80543)),f335(f335(f86(x80541),x80544),x80545))) % 209.33/209.64 [8055]~P86(x80551)+~P106(f335(f335(f244(x80551),x80553),x80555))+~P106(f335(f335(f244(x80551),x80552),x80554))+P106(f335(f335(f244(x80551),f335(f335(f86(x80551),x80552),x80553)),f335(f335(f86(x80551),x80554),x80555))) % 209.33/209.64 [8191]~P143(x81915)+E(x81911,x81912)+E(x81913,x81914)+~E(f335(f335(f86(x81915),f335(f335(f87(x81915),x81913),x81911)),f335(f335(f87(x81915),x81914),x81912)),f335(f335(f86(x81915),f335(f335(f87(x81915),x81913),x81912)),f335(f335(f87(x81915),x81914),x81911))) % 209.33/209.64 [8390]~P108(x83904)+~P106(f335(f144(x83901),x83903))+P106(f335(f335(f337(x83901),x83902),f335(f179(x83901),x83903)))+P106(f335(f144(x83901),f335(f335(f155(x83901,x83904,x83905),x83902),x83903))) % 209.33/209.64 [8537]~P4(x85371)+E(f335(f335(f23(x85371),f335(f335(f6(a927,x85371),x85372),f335(f310(a927,x85373),x85374))),f335(f335(f6(a927,x85371),x85372),f335(f310(a927,x85373),x85375))),f335(f335(f6(a927,x85371),x85372),f335(f310(a927,x85375),x85374)))+~P106(f335(f335(f243(a927),x85375),x85374))+~P106(f335(f335(f243(a927),x85373),x85375)) % 209.33/209.64 [8538]~P75(x85381)+E(f335(f335(f86(x85381),f335(f335(f6(a927,x85381),x85382),f335(f310(a927,x85383),x85384))),f335(f335(f6(a927,x85381),x85382),f335(f310(a927,x85384),x85385))),f335(f335(f6(a927,x85381),x85382),f335(f310(a927,x85383),x85385)))+~P106(f335(f335(f243(a927),x85384),x85385))+~P106(f335(f335(f243(a927),x85383),x85384)) % 209.33/209.64 [8866]~P66(x88662)+E(x88661,f2(x88662))+E(x88663,f2(x88662))+E(f335(f335(f299(x88662),f335(f335(f23(x88662),f335(f335(f87(x88662),x88664),x88661)),f335(f335(f87(x88662),x88665),x88663))),f335(f335(f87(x88662),x88663),x88661)),f335(f335(f23(x88662),f335(f335(f299(x88662),x88664),x88663)),f335(f335(f299(x88662),x88665),x88661))) % 209.33/209.64 [8867]~P66(x88672)+E(x88671,f2(x88672))+E(x88673,f2(x88672))+E(f335(f335(f299(x88672),f335(f335(f86(x88672),f335(f335(f87(x88672),x88674),x88671)),f335(f335(f87(x88672),x88675),x88673))),f335(f335(f87(x88672),x88673),x88671)),f335(f335(f86(x88672),f335(f335(f299(x88672),x88674),x88673)),f335(f335(f299(x88672),x88675),x88671))) % 209.33/209.64 [8876]~E(x88762,f335(x88763,x88761))+E(x88761,f462(x88762,x88763,x88764,x88765))+~P25(x88765,x88764,x88763,f250(f934(x88765,a922)))+~P106(f335(f335(f337(x88764),x88762),f335(f318(x88765,x88764,x88763),f250(f934(x88765,a922))))) % 209.33/209.64 [9093]~P122(x90931)+~P106(f335(f335(f244(x90931),f335(f81(x90931),x90932)),x90934))+P106(f335(f335(f244(x90931),f335(f335(f87(x90931),f335(f81(x90931),x90932)),f335(f81(x90931),x90933))),f335(f335(f87(x90931),x90934),x90935)))+~P106(f335(f335(f244(x90931),f335(f81(x90931),x90933)),x90935)) % 209.33/209.64 [9208]~P25(x92081,x92083,x92085,x92082)+~P106(f335(f66(x92083),x92084))+P106(f335(f335(f243(a927),f335(f40(x92081),x92082)),f335(f40(x92083),x92084)))+~P106(f335(f335(f243(f934(x92083,a922)),f335(f318(x92081,x92083,x92085),x92082)),x92084)) % 209.33/209.64 [9275]~P75(x92752)+~P25(x92751,x92751,x92754,x92755)+~P106(f335(f66(x92751),x92755))+E(f335(f335(f6(x92751,x92752),f335(f78(x92751,x92752,x92751,x92753),x92754)),x92755),f335(f335(f6(x92751,x92752),x92753),f335(f318(x92751,x92751,x92754),x92755))) % 209.33/209.64 [9276]~P71(x92762)+~P25(x92761,x92761,x92764,x92765)+~P106(f335(f66(x92761),x92765))+E(f335(f335(f9(x92761,x92762),f335(f78(x92761,x92762,x92761,x92763),x92764)),x92765),f335(f335(f9(x92761,x92762),x92763),f335(f318(x92761,x92761,x92764),x92765))) % 209.33/209.64 [9394]~P37(x93941,x93942)+~P106(f335(f335(f337(x93941),x93943),x93944))+~P106(f335(f335(f337(x93941),x93945),x93944))+~P106(f335(f335(f337(f933(x93941,x93941)),f335(f335(f260(x93941,x93941),x93945),f914(x93942,x93941,x93944))),x93942)) % 209.33/209.64 [9428]~P25(x94282,x94283,x94285,x94281)+E(x94281,f195(f934(x94282,a922)))+E(f335(f318(x94283,x94282,f498(x94284,x94283,x94282,x94281)),x94284),x94281)+~P106(f335(f335(f243(f934(x94283,a922)),f335(f318(x94282,x94283,x94285),x94281)),x94284)) % 209.33/209.64 [9909]~P108(x99095)+~P5(x99095)+P106(f335(f335(f337(x99091),f674(x99092,x99093,x99091,x99094,x99095)),x99093))+~P106(f335(f335(f244(x99095),x99094),f335(f335(f44(x99091,x99095),x99093),x99092))) % 209.33/209.64 [9914]~P108(x99141)+~P5(x99141)+P106(f335(f335(f244(x99141),x99142),f335(x99143,f674(x99143,x99144,x99145,x99142,x99141))))+~P106(f335(f335(f244(x99141),x99142),f335(f335(f44(x99145,x99141),x99144),x99143))) % 209.33/209.64 [9993]~P69(x99931)+~P106(f335(f71(x99931,x99931,f87(x99931),x99932,x99933),x99935))+P106(f335(f335(f337(x99931),x99932),x99933))+P106(f335(f71(x99931,x99931,f87(x99931),x99934,f335(f335(f317(x99931),x99932),x99933)),f335(f335(f87(x99931),x99934),x99935))) % 209.33/209.64 [10209]~P75(x102092)+~P106(f335(f66(x102091),x102095))+E(f335(f335(f6(x102091,x102092),f335(f335(f7(x102091,x102092,x102092),f335(f335(f18(x102091,x102092,f934(x102092,x102092)),f335(f335(f8(a922,f934(x102092,f934(x102092,x102092)),x102091),f103(x102092)),f335(a332,x102093))),x102094)),f2(x102092))),x102095),f2(x102092))+P106(f335(f335(f337(x102091),x102093),x102095)) % 209.33/209.64 [10210]~P71(x102102)+~P106(f335(f66(x102101),x102105))+E(f335(f335(f9(x102101,x102102),f335(f335(f7(x102101,x102102,x102102),f335(f335(f18(x102101,x102102,f934(x102102,x102102)),f335(f335(f8(a922,f934(x102102,f934(x102102,x102102)),x102101),f103(x102102)),f335(a332,x102103))),x102104)),f84(x102102))),x102105),f84(x102102))+P106(f335(f335(f337(x102101),x102103),x102105)) % 209.33/209.64 [10211]~P75(x102112)+~P106(f335(f66(x102111),x102115))+E(f335(f335(f6(x102111,x102112),f335(f335(f7(x102111,x102112,x102112),f335(f335(f18(x102111,x102112,f934(x102112,x102112)),f335(f335(f8(a922,f934(x102112,f934(x102112,x102112)),x102111),f103(x102112)),f335(a332,x102113))),x102114)),f2(x102112))),x102115),f335(x102114,x102113))+~P106(f335(f335(f337(x102111),x102113),x102115)) % 209.33/209.64 [10212]~P71(x102122)+~P106(f335(f66(x102121),x102125))+E(f335(f335(f9(x102121,x102122),f335(f335(f7(x102121,x102122,x102122),f335(f335(f18(x102121,x102122,f934(x102122,x102122)),f335(f335(f8(a922,f934(x102122,f934(x102122,x102122)),x102121),f103(x102122)),f335(a332,x102123))),x102124)),f84(x102122))),x102125),f335(x102124,x102123))+~P106(f335(f335(f337(x102121),x102123),x102125)) % 209.33/209.64 [10270]~P75(x102702)+~P106(f335(f66(x102701),x102705))+E(f335(f335(f6(x102701,x102702),f335(f335(f7(x102701,x102702,x102702),f335(f335(f18(x102701,x102702,f934(x102702,x102702)),f335(f335(f8(a922,f934(x102702,f934(x102702,x102702)),x102701),f103(x102702)),f335(f335(f7(x102701,x102701,a922),a332),x102703))),x102704)),f2(x102702))),x102705),f2(x102702))+P106(f335(f335(f337(x102701),x102703),x102705)) % 209.33/209.64 [10271]~P71(x102712)+~P106(f335(f66(x102711),x102715))+E(f335(f335(f9(x102711,x102712),f335(f335(f7(x102711,x102712,x102712),f335(f335(f18(x102711,x102712,f934(x102712,x102712)),f335(f335(f8(a922,f934(x102712,f934(x102712,x102712)),x102711),f103(x102712)),f335(f335(f7(x102711,x102711,a922),a332),x102713))),x102714)),f84(x102712))),x102715),f84(x102712))+P106(f335(f335(f337(x102711),x102713),x102715)) % 209.33/209.64 [10273]~P75(x102732)+~P106(f335(f66(x102731),x102735))+E(f335(f335(f6(x102731,x102732),f335(f335(f7(x102731,x102732,x102732),f335(f335(f18(x102731,x102732,f934(x102732,x102732)),f335(f335(f8(a922,f934(x102732,f934(x102732,x102732)),x102731),f103(x102732)),f335(f335(f7(x102731,x102731,a922),a332),x102733))),x102734)),f2(x102732))),x102735),f335(x102734,x102733))+~P106(f335(f335(f337(x102731),x102733),x102735)) % 209.33/209.64 [10274]~P71(x102742)+~P106(f335(f66(x102741),x102745))+E(f335(f335(f9(x102741,x102742),f335(f335(f7(x102741,x102742,x102742),f335(f335(f18(x102741,x102742,f934(x102742,x102742)),f335(f335(f8(a922,f934(x102742,f934(x102742,x102742)),x102741),f103(x102742)),f335(f335(f7(x102741,x102741,a922),a332),x102743))),x102744)),f84(x102742))),x102745),f335(x102744,x102743))+~P106(f335(f335(f337(x102741),x102743),x102745)) % 209.33/209.64 [8047]~P4(x80472)+~P106(f335(f66(x80471),x80474))+E(f335(f335(f6(x80471,x80472),x80473),f335(f335(f23(f934(x80471,a922)),x80474),f335(f335(f317(x80471),x80475),f195(f934(x80471,a922))))),f335(f335(f6(x80471,x80472),x80473),x80474))+P106(f335(f335(f337(x80471),x80475),x80474)) % 209.33/209.64 [8545]~P121(x85452)+~P106(f335(f66(x85451),x85454))+E(f335(f335(f6(x85451,x85452),x85453),f335(f335(f23(f934(x85451,a922)),x85454),f335(f335(f317(x85451),x85455),f195(f934(x85451,a922))))),f335(f335(f23(x85452),f335(f335(f6(x85451,x85452),x85453),x85454)),f335(x85453,x85455)))+~P106(f335(f335(f337(x85451),x85455),x85454)) % 209.33/209.64 [8546]~P4(x85462)+~P106(f335(f66(x85461),x85464))+E(f335(f335(f6(x85461,x85462),x85463),f335(f335(f23(f934(x85461,a922)),x85464),f335(f335(f317(x85461),x85465),f195(f934(x85461,a922))))),f335(f335(f23(x85462),f335(f335(f6(x85461,x85462),x85463),x85464)),f335(x85463,x85465)))+~P106(f335(f335(f337(x85461),x85465),x85464)) % 209.33/209.64 [8575]~P4(x85751)+~P106(f335(f66(x85752),x85754))+E(f335(f335(f23(x85751),f335(f335(f6(x85752,x85751),x85753),x85754)),f335(f335(f6(x85752,x85751),x85753),x85755)),f335(f335(f6(x85752,x85751),x85753),f335(f335(f23(f934(x85752,a922)),x85754),x85755)))+~P106(f335(f335(f243(f934(x85752,a922)),x85755),x85754)) % 209.33/209.64 [8594]P106(f335(f66(x85941),f335(x85942,x85943)))+~P106(f335(f66(x85944),x85945))+~P106(f335(f335(f337(x85944),x85943),x85945))+~P106(f335(f66(x85941),f335(f335(f44(x85944,f934(x85941,a922)),x85945),x85942))) % 209.33/209.64 [9049]~P8(x90491,x90495,x90494)+~E(f335(f293(x90491,x90491,x90494),f335(f335(f317(x90491),x90492),f195(f934(x90491,a922)))),f335(f293(x90491,x90491,x90494),f335(f335(f317(x90491),x90493),f195(f934(x90491,a922)))))+~P106(f335(f335(f337(x90491),x90493),x90495))+P106(f335(f335(f337(f933(x90491,x90491)),f335(f335(f260(x90491,x90491),x90492),x90493)),x90494)) % 209.33/209.64 [9351]~P106(f335(x93511,x93515))+P106(f335(x93511,f884(x93511,x93512,x93513,x93514)))+P106(f335(x93511,f883(x93511,x93512,x93513,x93514)))+~P106(f335(f335(f337(x93514),x93515),f335(f335(f117(f934(x93514,a922)),x93513),x93512))) % 209.33/209.64 [9532]~P106(f335(x95321,x95325))+P106(f335(x95321,f883(x95321,x95322,x95323,x95324)))+P106(f335(f335(f337(x95324),f884(x95321,x95322,x95323,x95324)),x95322))+~P106(f335(f335(f337(x95324),x95325),f335(f335(f117(f934(x95324,a922)),x95323),x95322))) % 209.33/209.64 [9533]~P106(f335(x95331,x95335))+P106(f335(x95331,f884(x95331,x95332,x95333,x95334)))+P106(f335(f335(f337(x95334),f883(x95331,x95332,x95333,x95334)),x95333))+~P106(f335(f335(f337(x95334),x95335),f335(f335(f117(f934(x95334,a922)),x95333),x95332))) % 209.33/209.64 [9537]P106(f335(x95371,x95372))+~P106(f335(x95371,f887(x95371,x95373,x95374,x95375)))+~P106(f335(x95371,f886(x95371,x95373,x95374,x95375)))+~P106(f335(f335(f337(x95375),x95372),f335(f335(f117(f934(x95375,a922)),x95374),x95373))) % 209.33/209.64 [9542]~P38(x95421,x95424)+~P106(f335(f335(f337(f933(x95421,x95421)),f335(f335(f260(x95421,x95421),x95422),x95425)),x95424))+P106(f335(f335(f337(f933(x95421,x95421)),f335(f335(f260(x95421,x95421),x95422),x95423)),x95424))+~P106(f335(f335(f337(f933(x95421,x95421)),f335(f335(f260(x95421,x95421),x95425),x95423)),x95424)) % 209.33/209.64 [9581]E(x95811,x95812)+~P106(f335(f335(f337(f933(x95813,x95813)),f335(f335(f260(x95813,x95813),x95811),x95812)),f315(x95813,x95815)))+P106(f335(f335(f337(x95813),x95811),x95814))+~P106(f335(f335(f243(f934(f933(x95813,x95813),a922)),x95815),f335(f335(f262(x95813,x95813),x95814),f335(f16(f934(x95813,a922),x95813),x95814)))) % 209.33/209.64 [9599]P106(f335(x95991,x95992))+~P106(f335(x95991,f886(x95991,x95994,x95995,x95993)))+P106(f335(f335(f337(x95993),f887(x95991,x95994,x95995,x95993)),x95994))+~P106(f335(f335(f337(x95993),x95992),f335(f335(f117(f934(x95993,a922)),x95995),x95994))) % 209.33/209.64 [9600]P106(f335(x96001,x96002))+~P106(f335(x96001,f887(x96001,x96004,x96005,x96003)))+P106(f335(f335(f337(x96003),f886(x96001,x96004,x96005,x96003)),x96005))+~P106(f335(f335(f337(x96003),x96002),f335(f335(f117(f934(x96003,a922)),x96005),x96004))) % 209.33/209.64 [9665]P106(f335(x96651,x96652))+P106(f335(f335(f337(x96653),f887(x96651,x96654,x96655,x96653)),x96654))+P106(f335(f335(f337(x96653),f886(x96651,x96654,x96655,x96653)),x96655))+~P106(f335(f335(f337(x96653),x96652),f335(f335(f117(f934(x96653,a922)),x96655),x96654))) % 209.33/209.64 [9667]~P106(f335(x96672,x96675))+P106(f335(f335(f337(x96671),f884(x96672,x96673,x96674,x96671)),x96673))+P106(f335(f335(f337(x96671),f883(x96672,x96673,x96674,x96671)),x96674))+~P106(f335(f335(f337(x96671),x96675),f335(f335(f117(f934(x96671,a922)),x96674),x96673))) % 209.33/209.64 [9815]~P8(x98151,x98155,x98154)+~P106(f335(f335(f337(x98151),x98153),x98155))+P106(f335(f335(f337(f933(x98151,x98151)),f335(f335(f260(x98151,x98151),x98152),x98153)),x98154))+~P106(f335(f335(f243(f934(x98151,a922)),f335(f293(x98151,x98151,x98154),f335(f335(f317(x98151),x98153),f195(f934(x98151,a922))))),f335(f293(x98151,x98151,x98154),f335(f335(f317(x98151),x98152),f195(f934(x98151,a922)))))) % 209.33/209.64 [9944]~P108(x99445)+~P5(x99445)+P106(f335(f335(f337(x99441),f655(x99442,x99443,x99444,x99441,x99445)),x99444))+~P106(f335(f335(f244(x99445),f335(f335(f45(x99441,x99445),x99444),x99443)),x99442)) % 209.33/209.64 [9976]~P84(x99765)+~P81(x99765)+P106(f335(f335(f337(x99761),f719(x99762,x99763,x99764,x99761,x99765)),f335(f179(x99761),x99764)))+P106(f335(f335(f243(x99765),f335(f172(x99765),f335(f335(f161(x99761,x99765),x99763),x99764))),f335(f172(x99765),f335(f335(f161(x99761,x99765),x99762),x99764)))) % 209.33/209.64 [10085]~P108(x100851)+~P5(x100851)+P106(f335(f335(f244(x100851),f335(x100852,f655(x100853,x100852,x100854,x100855,x100851))),x100853))+~P106(f335(f335(f244(x100851),f335(f335(f45(x100855,x100851),x100854),x100852)),x100853)) % 209.33/209.64 [10227]~P84(x102271)+~P81(x102271)+~P106(f335(f335(f243(x102271),f335(x102273,f719(x102275,x102273,x102274,x102272,x102271))),f335(x102275,f719(x102275,x102273,x102274,x102272,x102271))))+P106(f335(f335(f243(x102271),f335(f172(x102271),f335(f335(f161(x102272,x102271),x102273),x102274))),f335(f172(x102271),f335(f335(f161(x102272,x102271),x102275),x102274)))) % 209.33/209.64 [8889]~P75(x88891)+~P106(f335(f66(x88894),x88895))+~P106(f335(f335(f337(x88894),x88893),x88895))+E(f335(f335(f86(x88891),f335(x88892,x88893)),f335(f335(f6(x88894,x88891),x88892),f335(f335(f23(f934(x88894,a922)),x88895),f335(f335(f317(x88894),x88893),f195(f934(x88894,a922)))))),f335(f335(f6(x88894,x88891),x88892),x88895)) % 209.33/209.64 [8890]~P71(x88901)+~P106(f335(f66(x88904),x88905))+~P106(f335(f335(f337(x88904),x88903),x88905))+E(f335(f335(f87(x88901),f335(x88902,x88903)),f335(f335(f9(x88904,x88901),x88902),f335(f335(f23(f934(x88904,a922)),x88905),f335(f335(f317(x88904),x88903),f195(f934(x88904,a922)))))),f335(f335(f9(x88904,x88901),x88902),x88905)) % 209.33/209.64 [8950]~P18(x89501,x89504,x89505)+~P106(f335(f66(x89501),x89502))+E(f335(f335(f23(f934(x89501,a922)),x89502),f335(f335(f317(x89501),x89503),f195(f934(x89501,a922)))),f195(f934(x89501,a922)))+E(f335(f335(x89504,x89503),f335(x89505,f335(f335(f23(f934(x89501,a922)),x89502),f335(f335(f317(x89501),x89503),f195(f934(x89501,a922)))))),f335(x89505,f335(f335(f317(x89501),x89503),x89502))) % 209.33/209.64 [9330]~P71(x93301)+~P106(f335(f66(x93302),x93305))+~P106(f335(f66(x93302),x93304))+E(f335(f335(f87(x93301),f335(f335(f9(x93302,x93301),x93303),f335(f335(f117(f934(x93302,a922)),x93304),x93305))),f335(f335(f9(x93302,x93301),x93303),f335(f335(f108(f934(x93302,a922)),x93304),x93305))),f335(f335(f87(x93301),f335(f335(f9(x93302,x93301),x93303),x93304)),f335(f335(f9(x93302,x93301),x93303),x93305))) % 209.33/209.64 [9331]~P75(x93311)+~P106(f335(f66(x93312),x93315))+~P106(f335(f66(x93312),x93314))+E(f335(f335(f86(x93311),f335(f335(f6(x93312,x93311),x93313),f335(f335(f117(f934(x93312,a922)),x93314),x93315))),f335(f335(f6(x93312,x93311),x93313),f335(f335(f108(f934(x93312,a922)),x93314),x93315))),f335(f335(f86(x93311),f335(f335(f6(x93312,x93311),x93313),x93314)),f335(f335(f6(x93312,x93311),x93313),x93315))) % 209.33/209.64 [9467]~P4(x94671)+~P106(f335(f66(x94672),x94675))+~P106(f335(f66(x94672),x94674))+E(f335(f335(f23(x94671),f335(f335(f86(x94671),f335(f335(f6(x94672,x94671),x94673),x94674)),f335(f335(f6(x94672,x94671),x94673),x94675))),f335(f335(f6(x94672,x94671),x94673),f335(f335(f108(f934(x94672,a922)),x94674),x94675))),f335(f335(f6(x94672,x94671),x94673),f335(f335(f117(f934(x94672,a922)),x94674),x94675))) % 209.33/209.64 [9677]~P25(x96771,x96772,x96773,x96775)+~P25(x96771,x96772,x96773,x96774)+P25(x96771,x96772,x96773,f335(f335(f117(f934(x96771,a922)),x96774),x96775))+~E(f335(f335(f108(f934(x96772,a922)),f335(f318(x96771,x96772,x96773),f335(f335(f23(f934(x96771,a922)),x96774),x96775))),f335(f318(x96771,x96772,x96773),f335(f335(f23(f934(x96771,a922)),x96775),x96774))),f195(f934(x96772,a922))) % 209.33/209.64 [9790]E(x97901,f2(a1))+~P106(f335(f335(f244(a1),f2(a1)),x97903))+~P106(f335(f54(x97902,x97901),f335(f335(f260(a1,a1),x97904),x97905)))+P106(f335(f54(x97902,f335(f335(f87(a1),x97901),x97903)),f335(f335(f260(a1,a1),f335(f335(f41(a1),x97904),x97903)),f335(f335(f86(a1),f335(f335(f87(a1),x97901),f50(a1,x97904,x97903))),x97905)))) % 209.33/209.64 [9798]~P106(f335(f335(f244(a927),f2(a927)),x97983))+~P106(f335(f335(f244(a927),f2(a927)),x97982))+~P106(f335(f53(x97981,x97982),f335(f335(f260(a927,a927),x97984),x97985)))+P106(f335(f53(x97981,f335(f335(f87(a927),x97982),x97983)),f335(f335(f260(a927,a927),f335(f335(f41(a927),x97984),x97983)),f335(f335(f86(a927),f335(f335(f87(a927),x97982),f50(a927,x97984,x97983))),x97985)))) % 209.33/209.64 [9847]~P71(x98471)+~P106(f335(f66(x98472),x98475))+~P106(f335(f66(x98472),x98474))+E(f335(f335(f87(x98471),f335(f335(f335(f70(x98471,x98472,f87(x98471)),x98473),f84(x98471)),f335(f335(f117(f934(x98472,a922)),x98474),x98475))),f335(f335(f335(f70(x98471,x98472,f87(x98471)),x98473),f84(x98471)),f335(f335(f108(f934(x98472,a922)),x98474),x98475))),f335(f335(f87(x98471),f335(f335(f335(f70(x98471,x98472,f87(x98471)),x98473),f84(x98471)),x98474)),f335(f335(f335(f70(x98471,x98472,f87(x98471)),x98473),f84(x98471)),x98475))) % 209.33/209.64 [9849]~E(f335(f335(f182(x98491),x98495),x98492),f335(f335(f182(x98491),x98495),x98493))+P106(f335(f335(f337(f933(f928(x98491),f928(x98491))),f335(f335(f260(f928(x98491),f928(x98491)),x98492),x98493)),f154(x98491,x98494)))+~P106(f335(f335(f244(a927),x98495),f335(f335(f241(a927),f335(f196(f928(x98491)),x98492)),f335(f196(f928(x98491)),x98493))))+~P106(f335(f335(f337(f933(x98491,x98491)),f335(f335(f260(x98491,x98491),f335(f335(f171(x98491),x98492),x98495)),f335(f335(f171(x98491),x98493),x98495))),x98494)) % 209.33/209.64 [9965]~P84(x99655)+~P146(x99655)+P106(f335(f335(f337(x99651),f441(x99652,x99653,x99654,x99651,x99655)),x99654))+P106(f335(f335(f243(x99655),f335(f335(f6(x99651,x99655),x99653),x99654)),f335(f335(f87(x99655),f335(f107(x99655),f335(f40(x99651),x99654))),x99652))) % 209.33/209.64 [10144]~P84(x101441)+~P146(x101441)+~P106(f335(f335(f243(x101441),f335(x101443,f441(x101445,x101443,x101444,x101442,x101441))),x101445))+P106(f335(f335(f243(x101441),f335(f335(f6(x101442,x101441),x101443),x101444)),f335(f335(f87(x101441),f335(f107(x101441),f335(f40(x101442),x101444))),x101445))) % 209.33/209.64 [8918]E(f335(f335(f141(x89181),x89182),x89183),f335(f335(f141(x89181),x89184),x89185))+~E(f335(f335(f182(x89181),f335(f196(f928(x89181)),x89182)),x89184),x89182)+~E(f335(f335(f141(x89181),f335(f335(f145(x89181),f335(f196(f928(x89181)),x89182)),x89184)),x89185),x89183)+P106(f335(f335(f243(a927),f335(f196(f928(x89181)),x89184)),f335(f196(f928(x89181)),x89182))) % 209.33/209.64 [9048]E(f335(f335(f141(x90481),x90482),x90483),f335(f335(f141(x90481),x90484),x90485))+~E(f335(f335(f182(x90481),f335(f196(f928(x90481)),x90482)),x90484),x90482)+~E(x90483,f335(f335(f141(x90481),f335(f335(f145(x90481),f335(f196(f928(x90481)),x90482)),x90484)),x90485))+~P106(f335(f335(f243(a927),f335(f196(f928(x90481)),x90482)),f335(f196(f928(x90481)),x90484))) % 209.33/209.64 [10293]~P106(f335(x102935,x102934))+~P106(f335(f66(x102932),f335(f270(x102932),x102935)))+P106(f335(f66(x102931),f335(f270(x102931),f335(f335(f7(x102931,x102932,a922),x102933),x102934))))+~P106(f335(f66(x102931),f335(f270(x102931),f335(f335(f8(f934(x102932,a922),a922,x102931),f93(x102932)),f335(f335(f8(f934(x102932,a922),f934(x102932,a922),x102931),f335(f18(x102932,a922,a922),f335(f335(f8(a922,f934(a922,a922),x102932),a333),x102935))),x102933))))) % 209.33/209.64 [10366]~P106(f335(f66(x103662),x103665))+~P106(f335(f335(f337(x103662),x103664),x103665))+P106(f335(f66(x103661),f335(f270(x103661),f335(f335(f7(x103661,x103662,a922),x103663),x103664))))+~P106(f335(f66(x103661),f335(f270(x103661),f335(f335(f8(f934(x103662,a922),a922,x103661),f93(x103662)),f335(f335(f8(f934(x103662,a922),f934(x103662,a922),x103661),f335(f18(x103662,a922,a922),f335(f335(f8(a922,f934(a922,a922),x103662),a333),f335(f335(f7(x103662,f934(x103662,a922),a922),f337(x103662)),x103665)))),x103663))))) % 209.33/209.64 [8704]~P19(x87045,x87041,x87046,x87042)+E(f335(f78(x87041,x87041,x87041,f335(x87042,x87043)),f335(x87042,x87044)),f335(f78(x87041,x87041,x87041,f335(x87042,x87044)),f335(x87042,x87043)))+~P106(f335(f66(x87045),x87044))+~P106(f335(f66(x87045),x87043)) % 209.33/209.64 [8102]~P25(x81021,x81022,x81024,x81023)+~E(f335(x81024,x81026),x81025)+E(f335(f83(x81021,x81022,x81023,x81024),x81025),x81026)+~P106(f335(f335(f337(x81021),x81026),x81023)) % 209.33/209.64 [8103]~P25(x81031,x81032,x81034,x81033)+~E(f335(x81034,x81036),x81035)+E(f335(f97(x81031,x81032,x81033,x81034),x81035),x81036)+~P106(f335(f335(f337(x81031),x81036),x81033)) % 209.33/209.64 [8296]~P20(x82966,x82961,x82964,x82962)+E(f335(f78(x82961,x82961,x82961,f335(x82962,x82963)),f335(x82964,x82965)),f335(x82962,x82963))+~P106(f335(f66(x82966),x82963))+~P106(f335(f335(f337(x82966),x82965),x82963)) % 209.33/209.64 [9420]E(x94201,x94202)+~E(f335(f97(x94203,x94204,x94205,x94206),x94201),f335(f97(x94203,x94204,x94205,x94206),x94202))+~P106(f335(f335(f337(x94204),x94202),f335(f318(x94203,x94204,x94206),x94205)))+~P106(f335(f335(f337(x94204),x94201),f335(f318(x94203,x94204,x94206),x94205))) % 209.33/209.64 [9516]~P19(x95163,x95161,x95166,x95162)+E(f335(f78(x95161,x95161,x95161,f335(x95162,f335(f335(f23(f934(x95163,a922)),x95164),f335(f335(f317(x95163),x95165),f195(f934(x95163,a922)))))),f335(x95166,x95165)),f335(x95162,x95164))+~P106(f335(f66(x95163),x95164))+~P106(f335(f335(f337(x95163),x95165),x95164)) % 209.33/209.64 [7196]~P63(x71961)+~E(f50(x71961,x71963,x71964),f50(x71961,x71966,x71964))+~E(f50(x71961,x71962,x71964),f50(x71961,x71965,x71964))+E(f50(x71961,f335(f335(f23(x71961),x71962),x71963),x71964),f50(x71961,f335(f335(f23(x71961),x71965),x71966),x71964)) % 209.33/209.64 [7197]~P62(x71971)+~E(f50(x71971,x71973,x71974),f50(x71971,x71976,x71974))+~E(f50(x71971,x71972,x71974),f50(x71971,x71975,x71974))+E(f50(x71971,f335(f335(f87(x71971),x71972),x71973),x71974),f50(x71971,f335(f335(f87(x71971),x71975),x71976),x71974)) % 209.33/209.64 [7198]~P62(x71981)+~E(f50(x71981,x71983,x71984),f50(x71981,x71986,x71984))+~E(f50(x71981,x71982,x71984),f50(x71981,x71985,x71984))+E(f50(x71981,f335(f335(f86(x71981),x71982),x71983),x71984),f50(x71981,f335(f335(f86(x71981),x71985),x71986),x71984)) % 209.33/209.64 [8000]~P16(x80001,x80002,x80003)+~P106(f335(f66(x80001),x80006))+E(f335(f335(f69(x80001,x80002,x80003),x80004),f335(f335(f317(x80001),x80005),x80006)),f335(f335(f69(x80001,x80002,x80003),f335(f335(x80003,x80005),x80004)),x80006))+P106(f335(f335(f337(x80001),x80005),x80006)) % 209.33/209.64 [8061]~P5(x80611)+P106(f335(f335(f243(x80611),x80612),f335(x80613,x80614)))+~P106(f335(f335(f337(x80615),x80614),x80616))+~P106(f335(f335(f243(x80611),x80612),f335(f335(f45(x80615,x80611),x80616),x80613))) % 209.33/209.64 [8218]~P16(x82181,x82182,x82183)+~P106(f335(f66(x82181),x82186))+E(f335(f335(f69(x82181,x82182,x82183),x82184),f335(f335(f317(x82181),x82185),x82186)),f335(f335(x82183,x82185),f335(f335(f69(x82181,x82182,x82183),x82184),x82186)))+P106(f335(f335(f337(x82181),x82185),x82186)) % 209.33/209.64 [8314]~P108(x83143)+~P106(f335(x83142,x83145))+~P13(x83143,f335(f335(f161(x83141,x83143),x83144),x83146))+E(f335(f143(x83141,x83142),f335(f335(f155(x83141,x83143,x83144),x83145),x83146)),f335(f335(f155(x83141,x83143,x83144),x83145),f335(f143(x83141,x83142),x83146))) % 209.33/209.64 [8334]E(x83341,x83342)+E(x83343,f2(a1))+~P106(f335(f54(x83344,x83343),f335(f335(f260(a1,a1),x83345),x83342)))+~P106(f335(f54(x83344,x83343),f335(f335(f260(a1,a1),x83346),x83341))) % 209.33/209.64 [8335]E(x83351,x83352)+E(x83353,f2(a1))+~P106(f335(f54(x83354,x83353),f335(f335(f260(a1,a1),x83352),x83355)))+~P106(f335(f54(x83354,x83353),f335(f335(f260(a1,a1),x83351),x83356))) % 209.33/209.64 [8356]~P19(x83562,x83565,x83566,x83561)+~P106(f335(f66(x83562),x83564))+E(f335(x83561,f335(f335(f317(x83562),x83563),x83564)),f335(f78(x83565,x83565,x83565,f335(x83561,x83564)),f335(x83566,x83563)))+P106(f335(f335(f337(x83562),x83563),x83564)) % 209.33/209.64 [8578]~P20(x85785,x85781,x85786,x85782)+E(f335(f78(x85781,x85781,x85781,f335(x85782,x85783)),f335(x85782,x85784)),f335(x85782,x85783))+~P106(f335(f66(x85785),x85783))+~P106(f335(f335(f243(f934(x85785,a922)),x85784),x85783)) % 209.33/209.64 [9720]~P25(x97201,x97202,x97204,x97203)+~P106(f335(f335(f337(x97202),x97205),f335(f318(x97201,x97202,x97204),x97203)))+P106(f335(f335(f337(x97201),f335(f83(x97201,x97202,x97203,x97204),x97205)),x97206))+~P106(f335(f335(f243(f934(x97201,a922)),x97203),x97206)) % 209.33/209.64 [10096]~P75(x100962)+~E(f431(x100961,x100963,x100965,x100966,x100964,x100962),f432(x100961,x100963,x100965,x100966,x100964,x100962))+~P106(f335(f66(x100964),x100966))+E(f335(f335(f6(x100961,x100962),x100963),f335(f318(x100964,x100961,x100965),x100966)),f335(f335(f6(x100964,x100962),f335(f78(x100961,x100962,x100964,x100963),x100965)),x100966)) % 209.33/209.64 [10125]~P75(x101256)+E(f335(x101251,f431(x101252,x101253,x101251,x101254,x101255,x101256)),f335(x101251,f432(x101252,x101253,x101251,x101254,x101255,x101256)))+E(f335(f335(f6(x101252,x101256),x101253),f335(f318(x101255,x101252,x101251),x101254)),f335(f335(f6(x101255,x101256),f335(f78(x101252,x101256,x101255,x101253),x101251)),x101254))+~P106(f335(f66(x101255),x101254)) % 209.33/209.64 [10177]~P75(x101772)+~E(f335(x101773,f335(x101775,f432(x101771,x101773,x101775,x101776,x101774,x101772))),f2(x101772))+~P106(f335(f66(x101774),x101776))+E(f335(f335(f6(x101771,x101772),x101773),f335(f318(x101774,x101771,x101775),x101776)),f335(f335(f6(x101774,x101772),f335(f78(x101771,x101772,x101774,x101773),x101775)),x101776)) % 209.33/209.64 [10235]~P75(x102352)+~P106(f335(f66(x102354),x102356))+E(f335(f335(f6(x102351,x102352),x102353),f335(f318(x102354,x102351,x102355),x102356)),f335(f335(f6(x102354,x102352),f335(f78(x102351,x102352,x102354,x102353),x102355)),x102356))+P106(f335(f335(f337(x102354),f432(x102351,x102353,x102355,x102356,x102354,x102352)),x102356)) % 209.33/209.64 [10236]~P75(x102362)+~P106(f335(f66(x102364),x102366))+E(f335(f335(f6(x102361,x102362),x102363),f335(f318(x102364,x102361,x102365),x102366)),f335(f335(f6(x102364,x102362),f335(f78(x102361,x102362,x102364,x102363),x102365)),x102366))+P106(f335(f335(f337(x102364),f431(x102361,x102363,x102365,x102366,x102364,x102362)),x102366)) % 209.33/209.64 [10365]~P71(x103651)+~P106(f335(f66(x103652),x103656))+E(f335(f335(f335(f70(x103651,x103652,f87(x103651)),f335(f335(f18(x103652,f934(x103653,a922),x103651),f335(f335(f7(x103652,x103651,f934(f934(x103653,a922),x103651)),f335(f335(f8(f934(x103653,x103651),f934(x103651,f934(f934(x103653,a922),x103651)),x103652),f70(x103651,x103653,f87(x103651))),x103654)),f84(x103651))),x103655)),f84(x103651)),x103656),f335(f335(f335(f70(x103651,f933(x103652,x103653),f87(x103651)),f335(f265(x103652,x103653,x103651),x103654)),f84(x103651)),f335(f335(f262(x103652,x103653),x103656),x103655)))+P106(f335(f335(f337(x103652),f403(x103654,x103655,x103653,x103656,x103652,x103651)),x103656)) % 209.33/209.64 [10387]~P71(x103871)+~P106(f335(f66(x103872),x103876))+E(f335(f335(f335(f70(x103871,x103872,f87(x103871)),f335(f335(f18(x103872,f934(x103873,a922),x103871),f335(f335(f7(x103872,x103871,f934(f934(x103873,a922),x103871)),f335(f335(f8(f934(x103873,x103871),f934(x103871,f934(f934(x103873,a922),x103871)),x103872),f70(x103871,x103873,f87(x103871))),x103874)),f84(x103871))),x103875)),f84(x103871)),x103876),f335(f335(f335(f70(x103871,f933(x103872,x103873),f87(x103871)),f335(f265(x103872,x103873,x103871),x103874)),f84(x103871)),f335(f335(f262(x103872,x103873),x103876),x103875)))+~P106(f335(f66(x103873),f335(x103875,f403(x103874,x103875,x103873,x103876,x103872,x103871)))) % 209.33/209.64 [8488]~P20(x84882,x84885,x84886,x84881)+~P106(f335(f66(x84882),x84884))+~P106(f335(f66(x84882),x84883))+E(f335(x84881,f335(f335(f117(f934(x84882,a922)),x84883),x84884)),f335(f78(x84885,x84885,x84885,f335(x84881,x84883)),f335(x84881,x84884))) % 209.33/209.64 [8705]~P5(x87051)+P106(f335(f335(f243(x87051),f335(x87052,x87053)),x87054))+~P106(f335(f335(f337(x87055),x87053),x87056))+~P106(f335(f335(f243(x87051),f335(f335(f44(x87055,x87051),x87056),x87052)),x87054)) % 209.33/209.64 [9136]~P25(x91362,x91361,x91363,x91366)+E(f335(f335(f23(f934(x91361,a922)),f335(f318(x91362,x91361,x91363),x91364)),f335(f318(x91362,x91361,x91363),x91365)),f335(f318(x91362,x91361,x91363),f335(f335(f23(f934(x91362,a922)),x91364),x91365)))+~P106(f335(f335(f243(f934(x91362,a922)),x91365),x91366))+~P106(f335(f335(f243(f934(x91362,a922)),x91364),x91366)) % 209.33/209.64 [9137]~P25(x91372,x91371,x91373,x91376)+E(f335(f335(f108(f934(x91371,a922)),f335(f318(x91372,x91371,x91373),x91374)),f335(f318(x91372,x91371,x91373),x91375)),f335(f318(x91372,x91371,x91373),f335(f335(f108(f934(x91372,a922)),x91374),x91375)))+~P106(f335(f335(f243(f934(x91372,a922)),x91375),x91376))+~P106(f335(f335(f243(f934(x91372,a922)),x91374),x91376)) % 209.33/209.64 [9396]E(x93961,x93962)+~P55(x93963,x93964,x93965)+~P106(f335(f335(f337(f933(x93963,x93964)),f335(f335(f260(x93963,x93964),x93966),x93962)),x93965))+~P106(f335(f335(f337(f933(x93963,x93964)),f335(f335(f260(x93963,x93964),x93966),x93961)),x93965)) % 209.33/209.64 [10173]~P69(x101731)+~E(f335(x101733,f614(x101734,x101736,x101733,x101735,x101732,x101731)),f335(x101736,f614(x101734,x101736,x101733,x101735,x101732,x101731)))+~P106(f335(f66(x101732),x101735))+E(f335(f335(f335(f70(x101731,x101732,f87(x101731)),x101733),x101734),x101735),f335(f335(f335(f70(x101731,x101732,f87(x101731)),x101736),x101734),x101735)) % 209.33/209.64 [10233]~P69(x102331)+~P106(f335(f66(x102332),x102335))+E(f335(f335(f335(f70(x102331,x102332,f87(x102331)),x102333),x102334),x102335),f335(f335(f335(f70(x102331,x102332,f87(x102331)),x102336),x102334),x102335))+P106(f335(f335(f337(x102332),f614(x102334,x102333,x102336,x102335,x102332,x102331)),x102335)) % 209.33/209.64 [8932]~P69(x89321)+~P106(f335(f66(x89322),x89326))+P106(f335(f335(f337(x89322),x89325),x89326))+E(f335(f335(f335(f70(x89321,x89322,f87(x89321)),x89323),x89324),f335(f335(f317(x89322),x89325),x89326)),f335(f335(f87(x89321),f335(x89323,x89325)),f335(f335(f335(f70(x89321,x89322,f87(x89321)),x89323),x89324),x89326))) % 209.33/209.64 [8985]~P8(x89851,x89856,x89853)+~P11(x89851,f934(x89852,a922),x89853,x89855)+~P106(f335(f335(f337(x89851),x89854),x89856))+E(f335(f335(f44(x89851,f934(x89852,a922)),f335(f293(x89851,x89851,x89853),f335(f335(f317(x89851),x89854),f195(f934(x89851,a922))))),x89855),f335(x89855,x89854)) % 209.33/209.64 [9111]~P16(x91113,x91114,x91111)+~P106(f335(f66(x91113),x91116))+~P106(f335(f335(f337(x91113),x91112),x91116))+E(f335(f335(x91111,x91112),f335(f335(f69(x91113,x91114,x91111),x91115),f335(f335(f23(f934(x91113,a922)),x91116),f335(f335(f317(x91113),x91112),f195(f934(x91113,a922)))))),f335(f335(f69(x91113,x91114,x91111),x91115),x91116)) % 209.33/209.64 [9406]~P19(x94063,x94061,x94066,x94062)+~P106(f335(f66(x94063),x94065))+~P106(f335(f66(x94063),x94064))+E(f335(f78(x94061,x94061,x94061,f335(x94062,f335(f335(f117(f934(x94063,a922)),x94064),x94065))),f335(x94062,f335(f335(f108(f934(x94063,a922)),x94064),x94065))),f335(f78(x94061,x94061,x94061,f335(x94062,x94064)),f335(x94062,x94065))) % 209.33/209.64 [9743]~E(x97433,f335(f335(f166(x97431,x97432),x97435),x97436))+P106(f335(f335(f337(f933(f928(x97431),f928(x97431))),f335(f335(f260(f928(x97431),f928(x97431)),x97432),x97433)),f164(x97431,x97434)))+~P106(f335(f335(f244(a927),x97435),f335(f196(f928(x97431)),x97432)))+~P106(f335(f335(f337(f933(x97431,x97431)),f335(f335(f260(x97431,x97431),f335(f335(f171(x97431),x97432),x97435)),x97436)),x97434)) % 209.33/209.64 [10250]~P75(x102502)+~P106(f335(f66(x102501),x102506))+P106(f335(f335(f337(x102501),f414(x102504,x102505,x102503,x102506,x102501,x102502)),x102506))+E(f335(f335(f6(x102501,x102502),f335(f335(f18(x102501,f934(x102503,a922),x102502),f335(f335(f8(f934(x102503,x102502),f934(f934(x102503,a922),x102502),x102501),f6(x102503,x102502)),x102504)),x102505)),x102506),f335(f335(f6(f933(x102501,x102503),x102502),f335(f265(x102501,x102503,x102502),x102504)),f335(f335(f262(x102501,x102503),x102506),x102505))) % 209.33/209.64 [10251]~P71(x102512)+~P106(f335(f66(x102511),x102516))+P106(f335(f335(f337(x102511),f488(x102514,x102515,x102513,x102516,x102511,x102512)),x102516))+E(f335(f335(f9(x102511,x102512),f335(f335(f18(x102511,f934(x102513,a922),x102512),f335(f335(f8(f934(x102513,x102512),f934(f934(x102513,a922),x102512),x102511),f9(x102513,x102512)),x102514)),x102515)),x102516),f335(f335(f9(f933(x102511,x102513),x102512),f335(f265(x102511,x102513,x102512),x102514)),f335(f335(f262(x102511,x102513),x102516),x102515))) % 209.33/209.64 [10291]~P75(x102912)+~P106(f335(f66(x102911),x102916))+~P106(f335(f66(x102913),f335(x102915,f414(x102914,x102915,x102913,x102916,x102911,x102912))))+E(f335(f335(f6(x102911,x102912),f335(f335(f18(x102911,f934(x102913,a922),x102912),f335(f335(f8(f934(x102913,x102912),f934(f934(x102913,a922),x102912),x102911),f6(x102913,x102912)),x102914)),x102915)),x102916),f335(f335(f6(f933(x102911,x102913),x102912),f335(f265(x102911,x102913,x102912),x102914)),f335(f335(f262(x102911,x102913),x102916),x102915))) % 209.33/209.64 [10292]~P71(x102922)+~P106(f335(f66(x102921),x102926))+~P106(f335(f66(x102923),f335(x102925,f488(x102924,x102925,x102923,x102926,x102921,x102922))))+E(f335(f335(f9(x102921,x102922),f335(f335(f18(x102921,f934(x102923,a922),x102922),f335(f335(f8(f934(x102923,x102922),f934(f934(x102923,a922),x102922),x102921),f9(x102923,x102922)),x102924)),x102925)),x102926),f335(f335(f9(f933(x102921,x102923),x102922),f335(f265(x102921,x102923,x102922),x102924)),f335(f335(f262(x102921,x102923),x102926),x102925))) % 209.33/209.64 [10272]~P71(x102722)+~P106(f335(f66(x102721),x102726))+P106(f335(f335(f337(x102721),x102723),x102726))+E(f335(f335(f9(x102721,x102722),f335(f335(f7(x102721,x102722,x102722),f335(f335(f18(x102721,x102722,f934(x102722,x102722)),f335(f335(f8(a922,f934(x102722,f934(x102722,x102722)),x102721),f103(x102722)),f335(f335(f7(x102721,x102721,a922),a332),x102723))),x102724)),x102725)),x102726),f335(f335(f252(x102722),x102725),f335(f40(x102721),x102726))) % 209.33/209.64 [10275]~P71(x102752)+~P106(f335(f66(x102751),x102756))+~P106(f335(f335(f337(x102751),x102753),x102756))+E(f335(f335(f9(x102751,x102752),f335(f335(f7(x102751,x102752,x102752),f335(f335(f18(x102751,x102752,f934(x102752,x102752)),f335(f335(f8(a922,f934(x102752,f934(x102752,x102752)),x102751),f103(x102752)),f335(f335(f7(x102751,x102751,a922),a332),x102753))),x102754)),x102755)),x102756),f335(f335(f87(x102752),f335(x102754,x102753)),f335(f335(f252(x102752),x102755),f335(f335(f23(a927),f335(f40(x102751),x102756)),f84(a927))))) % 209.33/209.64 [10355]~P106(f335(f66(x103551),x103555))+~P106(f335(f66(x103552),x103553))+P106(f335(f335(f337(x103552),f415(x103556,x103554,x103553,x103552,x103555,x103551)),x103553))+E(f335(f335(f6(x103551,a927),f335(f335(f8(f934(x103552,a922),a927,x103551),f40(x103552)),f335(f335(f8(f934(x103552,a922),f934(x103552,a922),x103551),f270(x103552)),f335(f335(f8(f934(x103552,a922),f934(x103552,a922),x103551),f335(f18(x103552,a922,a922),f335(f335(f8(a922,f934(a922,a922),x103552),a333),f335(f335(f7(x103552,f934(x103552,a922),a922),f337(x103552)),x103553)))),x103554)))),x103555),f335(f335(f87(a927),x103556),f335(f40(x103552),x103553))) % 209.33/209.64 [10356]~P106(f335(f66(x103561),x103565))+~P106(f335(f66(x103562),x103563))+P106(f335(f335(f337(x103562),f459(x103566,x103564,x103563,x103562,x103565,x103561)),x103563))+E(f335(f335(f6(x103561,a927),f335(f335(f8(f934(x103562,a922),a927,x103561),f40(x103562)),f335(f335(f8(f934(x103562,a922),f934(x103562,a922),x103561),f270(x103562)),f335(f335(f8(f934(x103562,a922),f934(x103562,a922),x103561),f335(f18(x103562,a922,a922),f335(f335(f8(a922,f934(a922,a922),x103562),a333),f335(f335(f7(x103562,f934(x103562,a922),a922),f337(x103562)),x103563)))),x103564)))),x103565),f335(f335(f6(x103562,a927),x103566),x103563)) % 209.33/209.64 [10402]~P106(f335(f66(x104022),x104023))+~P106(f335(f66(x104021),x104025))+~E(f335(f40(x104021),f335(f270(x104021),f335(f335(f18(x104021,a922,a922),f335(f335(f8(a922,f934(a922,a922),x104021),a333),f335(f335(f7(x104021,f934(x104021,a922),a922),f337(x104021)),x104025))),f335(f335(f7(x104021,x104022,a922),x104024),f415(x104026,x104024,x104023,x104022,x104025,x104021))))),x104026)+E(f335(f335(f6(x104021,a927),f335(f335(f8(f934(x104022,a922),a927,x104021),f40(x104022)),f335(f335(f8(f934(x104022,a922),f934(x104022,a922),x104021),f270(x104022)),f335(f335(f8(f934(x104022,a922),f934(x104022,a922),x104021),f335(f18(x104022,a922,a922),f335(f335(f8(a922,f934(a922,a922),x104022),a333),f335(f335(f7(x104022,f934(x104022,a922),a922),f337(x104022)),x104023)))),x104024)))),x104025),f335(f335(f87(a927),x104026),f335(f40(x104022),x104023))) % 209.33/209.64 [10404]~P106(f335(f66(x104042),x104043))+~P106(f335(f66(x104041),x104045))+~E(f335(f40(x104041),f335(f270(x104041),f335(f335(f18(x104041,a922,a922),f335(f335(f8(a922,f934(a922,a922),x104041),a333),f335(f335(f7(x104041,f934(x104041,a922),a922),f337(x104041)),x104045))),f335(f335(f7(x104041,x104042,a922),x104044),f459(x104046,x104044,x104043,x104042,x104045,x104041))))),f335(x104046,f459(x104046,x104044,x104043,x104042,x104045,x104041)))+E(f335(f335(f6(x104041,a927),f335(f335(f8(f934(x104042,a922),a927,x104041),f40(x104042)),f335(f335(f8(f934(x104042,a922),f934(x104042,a922),x104041),f270(x104042)),f335(f335(f8(f934(x104042,a922),f934(x104042,a922),x104041),f335(f18(x104042,a922,a922),f335(f335(f8(a922,f934(a922,a922),x104042),a333),f335(f335(f7(x104042,f934(x104042,a922),a922),f337(x104042)),x104043)))),x104044)))),x104045),f335(f335(f6(x104042,a927),x104046),x104043)) % 209.33/209.64 [10021]E(x100211,x100212)+~P16(x100213,x100214,x100215)+~P106(f335(f71(x100213,x100214,x100215,x100216,x100217),x100212))+~P106(f335(f71(x100213,x100214,x100215,x100216,x100217),x100211)) % 209.33/209.64 [9819]P106(f335(x98191,x98192))+~P106(f335(f335(f337(x98197),x98192),f335(x98196,x98194)))+~P106(f335(x98191,f628(x98191,x98196,x98195,x98193,x98197)))+~P106(f335(f335(f337(x98193),x98194),x98195)) % 209.33/209.64 [10264]~P16(x102647,x102646,x102641)+E(f335(f335(x102641,x102642),f646(x102642,x102643,x102644,x102645,x102641,x102646,x102647)),x102643)+~P106(f335(f71(x102647,x102646,x102641,x102645,x102644),x102643))+~P106(f335(f335(f337(x102647),x102642),x102644)) % 209.33/209.64 [10333]~P16(x103331,x103332,x103333)+~P106(f335(f71(x103331,x103332,x103333,x103334,x103335),x103337))+P106(f335(f71(x103331,x103332,x103333,x103334,f335(f335(f23(f934(x103331,a922)),x103335),f335(f335(f317(x103331),x103336),f195(f934(x103331,a922))))),f646(x103336,x103337,x103335,x103334,x103333,x103332,x103331)))+~P106(f335(f335(f337(x103331),x103336),x103335)) % 209.33/209.64 [9474]P26(x94741,x94742,x94743,x94744,x94745)+~P26(x94741,x94742,x94743,x94746,x94747)+~E(f335(f318(x94741,x94742,x94743),x94744),x94745)+~P106(f335(f335(f243(f934(x94741,a922)),x94744),x94746)) % 209.33/209.64 [9711]~P26(x97111,x97112,x97113,x97115,x97117)+~P26(x97111,x97112,x97113,x97114,x97116)+P26(x97111,x97112,x97113,f335(f335(f117(f934(x97111,a922)),x97114),x97115),f335(f335(f117(f934(x97112,a922)),x97116),x97117))+~E(f335(f335(f108(f934(x97112,a922)),x97116),x97117),f195(f934(x97112,a922))) % 209.33/209.64 [9716]~P69(x97161)+~P25(x97165,x97162,x97166,x97167)+~P106(f335(f66(x97165),x97167))+E(f335(f335(f335(f70(x97161,x97162,f87(x97161)),x97163),x97164),f335(f318(x97165,x97162,x97166),x97167)),f335(f335(f335(f70(x97161,x97165,f87(x97161)),f335(f78(x97162,x97161,x97165,x97163),x97166)),x97164),x97167)) % 209.33/209.64 [9842]~E(f335(f335(f317(x98421),x98425),x98426),f335(f335(f317(x98421),x98422),x98423))+~P106(f335(f71(x98421,x98421,x98424,x98422,x98423),x98427))+P106(f335(f335(f337(x98421),x98422),x98423))+P106(f335(f67(x98421,x98424,f335(f335(f317(x98421),x98425),x98426)),x98427)) % 209.33/209.64 [9927]P106(f335(x99271,x99272))+~P106(f335(f335(f337(x99273),x99272),f335(x99274,x99277)))+~P106(f335(f335(f337(x99276),x99277),x99275))+P106(f335(f335(f337(x99273),f628(x99271,x99274,x99275,x99276,x99273)),f335(f335(f44(x99276,f934(x99273,a922)),x99275),x99274))) % 209.33/209.64 [9945]~P25(x99452,x99451,x99455,x99454)+~P25(x99451,x99453,x99456,f335(f318(x99452,x99451,x99455),x99454))+E(f335(f335(f78(x99451,x99452,x99453,f83(x99452,x99451,x99454,x99455)),f83(x99451,x99453,f335(f318(x99452,x99451,x99455),x99454),x99456)),x99457),f335(f83(x99452,x99453,x99454,f335(f78(x99451,x99453,x99452,x99456),x99455)),x99457))+~P106(f335(f335(f337(x99453),x99457),f335(f318(x99451,x99453,x99456),f335(f318(x99452,x99451,x99455),x99454)))) % 209.33/209.64 [9946]~P25(x99462,x99461,x99465,x99464)+~P25(x99461,x99463,x99466,f335(f318(x99462,x99461,x99465),x99464))+E(f335(f335(f78(x99461,x99462,x99463,f97(x99462,x99461,x99464,x99465)),f97(x99461,x99463,f335(f318(x99462,x99461,x99465),x99464),x99466)),x99467),f335(f97(x99462,x99463,x99464,f335(f78(x99461,x99463,x99462,x99466),x99465)),x99467))+~P106(f335(f335(f337(x99463),x99467),f335(f318(x99461,x99463,x99466),f335(f318(x99462,x99461,x99465),x99464)))) % 209.33/209.64 [10265]~P16(x102657,x102656,x102651)+E(f335(f335(x102651,x102652),f657(x102653,x102654,x102652,x102655,x102651,x102656,x102657)),x102653)+P106(f335(f335(f337(x102657),x102652),x102654))+~P106(f335(f71(x102657,x102656,x102651,x102655,f335(f335(f317(x102657),x102652),x102654)),x102653)) % 209.33/209.64 [10332]~P16(x103321,x103324,x103325)+P106(f335(f71(x103321,x103324,x103325,x103326,x103323),f657(x103327,x103323,x103322,x103326,x103325,x103324,x103321)))+P106(f335(f335(f337(x103321),x103322),x103323))+~P106(f335(f71(x103321,x103324,x103325,x103326,f335(f335(f317(x103321),x103322),x103323)),x103327)) % 209.33/209.64 [10003]E(x100031,f2(a1))+~P106(f335(f54(x100033,x100031),f335(f335(f260(a1,a1),x100035),x100037)))+~P106(f335(f54(x100032,x100031),f335(f335(f260(a1,a1),x100034),x100036)))+P106(f335(f54(f335(f335(f86(a1),x100032),x100033),x100031),f335(f335(f260(a1,a1),f335(f335(f86(a1),f335(f335(f86(a1),x100034),x100035)),f335(f335(f41(a1),f335(f335(f86(a1),x100036),x100037)),x100031))),f50(a1,f335(f335(f86(a1),x100036),x100037),x100031)))) % 209.33/209.64 [10005]~P106(f335(f335(f244(a927),f2(a927)),x100053))+~P106(f335(f53(x100052,x100053),f335(f335(f260(a927,a927),x100055),x100057)))+~P106(f335(f53(x100051,x100053),f335(f335(f260(a927,a927),x100054),x100056)))+P106(f335(f53(f335(f335(f86(a927),x100051),x100052),x100053),f335(f335(f260(a927,a927),f335(f335(f86(a927),f335(f335(f86(a927),x100054),x100055)),f335(f335(f41(a927),f335(f335(f86(a927),x100056),x100057)),x100053))),f50(a927,f335(f335(f86(a927),x100056),x100057),x100053)))) % 209.33/209.64 [10401]~P75(x104012)+~P106(f335(f66(x104013),x104015))+~P106(f335(f66(x104011),x104017))+E(f335(f335(f6(x104011,x104012),f335(f335(f18(x104011,f934(x104013,a922),x104012),f335(f335(f8(f934(x104013,x104012),f934(f934(x104013,a922),x104012),x104011),f6(x104013,x104012)),x104014)),f335(f335(f8(f934(x104013,a922),f934(x104013,a922),x104011),f270(x104013)),f335(f335(f8(f934(x104013,a922),f934(x104013,a922),x104011),f335(f18(x104013,a922,a922),f335(f335(f8(a922,f934(a922,a922),x104013),a333),f335(f335(f7(x104013,f934(x104013,a922),a922),f337(x104013)),x104015)))),x104016)))),x104017),f335(f335(f6(x104013,x104012),f335(f335(f18(x104013,f934(x104011,a922),x104012),f335(f335(f8(f934(x104011,x104012),f934(f934(x104011,a922),x104012),x104013),f6(x104011,x104012)),f335(f7(x104011,x104013,x104012),x104014))),f335(f335(f8(f934(x104011,a922),f934(x104011,a922),x104013),f270(x104011)),f335(f335(f8(f934(x104011,a922),f934(x104011,a922),x104013),f335(f18(x104011,a922,a922),f335(f335(f8(a922,f934(a922,a922),x104011),a333),f335(f335(f7(x104011,f934(x104011,a922),a922),f337(x104011)),x104017)))),f335(f7(x104011,x104013,a922),x104016))))),x104015)) % 209.33/209.64 [10353]~P21(x103538,x103537,x103536,x103535,x103531)+~E(f335(x103532,f871(x103534,x103532,x103533,x103531,x103535,x103536,x103537)),f335(x103534,f871(x103534,x103532,x103533,x103531,x103535,x103536,x103537)))+E(f335(f335(x103531,x103532),x103533),f335(f335(x103531,x103534),x103533))+~P106(f335(f66(x103537),x103533)) % 209.33/209.64 [9878]~P22(x98787,x98786,x98781,x98788,x98782,x98784)+E(f335(f335(x98781,f335(x98782,x98783)),f335(x98784,x98785)),f335(x98784,x98785))+~P106(f335(f66(x98786),x98785))+~P106(f335(f335(f337(x98786),x98783),x98785)) % 209.33/209.64 [9883]~P12(x98836,x98831,x98832,x98838,x98833,x98834)+~P8(x98836,x98837,x98838)+P11(x98831,x98832,x98833,f335(x98834,x98835))+~P106(f335(f335(f337(x98836),x98835),x98837)) % 209.33/209.64 [10372]~P21(x103728,x103725,x103727,x103726,x103721)+E(f335(f335(x103721,x103722),x103723),f335(f335(x103721,x103724),x103723))+~P106(f335(f66(x103725),x103723))+P106(f335(f335(f337(x103725),f871(x103722,x103724,x103723,x103721,x103726,x103727,x103725)),x103723)) % 209.33/209.64 [10454]~P106(f335(f335(x104541,x104546),x104545))+P106(f335(f335(x104541,f857(x104541,x104544,x104545,x104546,x104543,x104542,x104547,x104548)),f864(x104541,x104544,x104545,x104546,x104543,x104542,x104547,x104548)))+P106(f335(f335(x104541,x104542),x104543))+~P106(f335(f335(f337(f933(f933(x104548,x104547),f933(x104548,x104547))),f335(f335(f260(f933(x104548,x104547),f933(x104548,x104547)),f335(f335(f260(x104548,x104547),x104542),x104543)),f335(f335(f260(x104548,x104547),x104546),x104545))),f315(f933(x104548,x104547),x104544))) % 209.33/209.64 [10455]~P106(f335(f335(x104551,x104556),x104555))+P106(f335(f335(x104551,f858(x104551,x104554,x104553,x104552,x104555,x104556,x104557,x104558)),f859(x104551,x104554,x104553,x104552,x104555,x104556,x104557,x104558)))+P106(f335(f335(x104551,x104552),x104553))+~P106(f335(f335(f337(f933(f933(x104558,x104557),f933(x104558,x104557))),f335(f335(f260(f933(x104558,x104557),f933(x104558,x104557)),f335(f335(f260(x104558,x104557),x104556),x104555)),f335(f335(f260(x104558,x104557),x104552),x104553))),f315(f933(x104558,x104557),x104554))) % 209.33/209.64 [10465]~P106(f335(f335(x104651,f860(x104651,x104656,x104655,x104654,x104653,x104652,x104657,x104658)),f863(x104651,x104656,x104655,x104654,x104653,x104652,x104657,x104658)))+P106(f335(f335(x104651,x104652),x104653))+~P106(f335(f335(x104651,x104654),x104655))+~P106(f335(f335(f337(f933(f933(x104658,x104657),f933(x104658,x104657))),f335(f335(f260(f933(x104658,x104657),f933(x104658,x104657)),f335(f335(f260(x104658,x104657),x104652),x104653)),f335(f335(f260(x104658,x104657),x104654),x104655))),f315(f933(x104658,x104657),x104656))) % 209.33/209.64 [10466]~P106(f335(f335(x104661,f861(x104661,x104666,x104663,x104662,x104665,x104664,x104667,x104668)),f862(x104661,x104666,x104663,x104662,x104665,x104664,x104667,x104668)))+P106(f335(f335(x104661,x104662),x104663))+~P106(f335(f335(x104661,x104664),x104665))+~P106(f335(f335(f337(f933(f933(x104668,x104667),f933(x104668,x104667))),f335(f335(f260(f933(x104668,x104667),f933(x104668,x104667)),f335(f335(f260(x104668,x104667),x104664),x104665)),f335(f335(f260(x104668,x104667),x104662),x104663))),f315(f933(x104668,x104667),x104666))) % 209.33/209.64 [10479]~P106(f335(f335(x104791,x104796),x104797))+P106(f335(f335(x104791,x104792),x104793))+P106(f335(f335(f337(f933(f933(x104794,x104795),f933(x104794,x104795))),f335(f335(f260(f933(x104794,x104795),f933(x104794,x104795)),f335(f335(f260(x104794,x104795),x104796),x104797)),f335(f335(f260(x104794,x104795),f858(x104791,x104798,x104793,x104792,x104797,x104796,x104795,x104794)),f859(x104791,x104798,x104793,x104792,x104797,x104796,x104795,x104794)))),f315(f933(x104794,x104795),x104798)))+~P106(f335(f335(f337(f933(f933(x104794,x104795),f933(x104794,x104795))),f335(f335(f260(f933(x104794,x104795),f933(x104794,x104795)),f335(f335(f260(x104794,x104795),x104796),x104797)),f335(f335(f260(x104794,x104795),x104792),x104793))),f315(f933(x104794,x104795),x104798))) % 209.33/209.64 [10481]~P106(f335(f335(x104811,x104818),x104817))+P106(f335(f335(x104811,x104812),x104813))+P106(f335(f335(f337(f933(f933(x104814,x104815),f933(x104814,x104815))),f335(f335(f260(f933(x104814,x104815),f933(x104814,x104815)),f335(f335(f260(x104814,x104815),f857(x104811,x104816,x104817,x104818,x104813,x104812,x104815,x104814)),f864(x104811,x104816,x104817,x104818,x104813,x104812,x104815,x104814))),f335(f335(f260(x104814,x104815),x104818),x104817))),f315(f933(x104814,x104815),x104816)))+~P106(f335(f335(f337(f933(f933(x104814,x104815),f933(x104814,x104815))),f335(f335(f260(f933(x104814,x104815),f933(x104814,x104815)),f335(f335(f260(x104814,x104815),x104812),x104813)),f335(f335(f260(x104814,x104815),x104818),x104817))),f315(f933(x104814,x104815),x104816))) % 209.33/209.64 [9499]~P19(x94997,x94991,x94998,x94993)+~P106(f335(f66(x94997),x94995))+~P106(f335(f66(x94997),x94994))+E(f335(f78(x94991,x94991,x94992,f335(x94993,x94994)),f335(f78(x94991,x94991,x94992,f335(x94993,x94995)),x94996)),f335(f78(x94991,x94991,x94992,f335(x94993,x94995)),f335(f78(x94991,x94991,x94992,f335(x94993,x94994)),x94996))) % 209.33/209.64 [9508]~P34(x95081,x95082,x95083,x95084,x95087)+P34(x95081,x95082,x95083,f335(f335(f166(x95081,x95084),x95085),x95086),f335(f335(f166(x95082,x95087),x95085),x95088))+~P106(f335(f335(x95083,x95086),x95088))+~P106(f335(f335(f244(a927),x95085),f335(f196(f928(x95081)),x95084))) % 209.33/209.64 [9509]~P34(x95091,x95092,x95093,x95094,x95097)+P34(x95091,x95092,x95093,f335(f335(f166(x95091,x95094),x95095),x95096),f335(f335(f166(x95092,x95097),x95095),x95098))+~P106(f335(f335(x95093,x95096),x95098))+~P106(f335(f335(f244(a927),x95095),f335(f196(f928(x95092)),x95097))) % 209.33/209.64 [9588]~P25(x95882,x95882,x95885,x95886)+~P21(x95883,x95882,x95887,x95888,x95881)+~P106(f335(f66(x95882),x95886))+E(f335(f335(x95881,f335(f78(x95882,x95883,x95882,x95884),x95885)),x95886),f335(f335(x95881,x95884),f335(f318(x95882,x95882,x95885),x95886))) % 209.33/209.64 [9843]P26(x98431,x98432,x98433,x98434,x98435)+~P26(x98432,x98436,x98437,x98435,x98438)+~P26(x98431,x98436,f335(f78(x98432,x98436,x98431,x98437),x98433),x98434,x98438)+~P106(f335(f335(f243(f934(x98432,a922)),f335(f318(x98431,x98432,x98433),x98434)),x98435)) % 209.33/209.64 [9880]~P23(x98807,x98802,x98805,x98808,x98806,x98801)+~P106(f335(f66(x98802),x98804))+E(f335(x98801,f335(f335(f317(x98802),x98803),x98804)),f335(f335(x98805,f335(x98806,x98803)),f335(x98801,x98804)))+P106(f335(f335(f337(x98802),x98803),x98804)) % 209.33/209.64 [9892]~P22(x98926,x98925,x98921,x98927,x98928,x98922)+E(f335(f335(x98921,f335(x98922,x98923)),f335(x98922,x98924)),f335(x98922,x98924))+~P106(f335(f66(x98925),x98924))+~P106(f335(f335(f243(f934(x98925,a922)),x98923),x98924)) % 209.33/209.64 [10399]P24(x103998,x103997,f335(f335(f317(f926(x103998)),f98(x103998,x103994,x103995,x103993)),f195(f934(f926(x103998),a922))))+~P24(x103998,x103997,f335(f335(f317(f926(x103998)),f98(x103998,x103996,x103995,x103991)),f195(f934(f926(x103998),a922))))+~P106(f335(f335(x103996,x103992),f920(x103993,x103994,x103991,x103995,x103996,x103997,x103998)))+P106(f335(f335(x103991,x103992),f353(x103993,x103994,x103991,x103995,x103996,x103997,x103998))) % 209.33/209.64 [9486]P106(f335(f335(f337(f933(f928(x94861),f928(x94861))),f335(f335(f260(f928(x94861),f928(x94861)),x94862),x94863)),f164(x94861,x94864)))+~E(x94863,f335(f335(f141(x94861),x94865),f335(f335(f158(x94861),x94866),x94867)))+~E(x94862,f335(f335(f141(x94861),x94865),f335(f335(f158(x94861),x94868),x94867)))+~P106(f335(f335(f337(f933(x94861,x94861)),f335(f335(f260(x94861,x94861),x94868),x94866)),x94864)) % 209.33/209.64 [9886]~P22(x98866,x98862,x98865,x98867,x98868,x98861)+~P106(f335(f66(x98862),x98864))+~P106(f335(f66(x98862),x98863))+E(f335(x98861,f335(f335(f117(f934(x98862,a922)),x98863),x98864)),f335(f335(x98865,f335(x98861,x98863)),f335(x98861,x98864))) % 209.33/209.64 [10444]~P25(x104444,x104442,x104445,x104448)+E(f335(f335(f45(x104441,f934(x104442,a922)),x104443),f335(f335(f8(f934(x104444,a922),f934(x104442,a922),x104441),f318(x104444,x104442,x104445)),x104446)),f335(f318(x104444,x104442,x104445),f335(f335(f45(x104441,f934(x104444,a922)),x104443),x104446)))+~P106(f335(f335(f337(x104441),x104447),x104443))+P106(f335(f335(f337(x104441),f658(x104447,x104446,x104443,x104441,x104448,x104445,x104442,x104444)),x104443)) % 209.33/209.64 [10470]~P25(x104704,x104702,x104705,x104707)+E(f335(f335(f45(x104701,f934(x104702,a922)),x104703),f335(f335(f8(f934(x104704,a922),f934(x104702,a922),x104701),f318(x104704,x104702,x104705)),x104706)),f335(f318(x104704,x104702,x104705),f335(f335(f45(x104701,f934(x104704,a922)),x104703),x104706)))+~P106(f335(f335(f337(x104701),x104708),x104703))+~P106(f335(f335(f243(f934(x104704,a922)),f335(x104706,f658(x104708,x104706,x104703,x104701,x104707,x104705,x104702,x104704))),x104707)) % 209.33/209.64 [10482]~P106(f335(f335(x104821,x104828),x104827))+P106(f335(f335(x104821,x104822),x104823))+~P106(f335(f335(f337(f933(f933(x104824,x104825),f933(x104824,x104825))),f335(f335(f260(f933(x104824,x104825),f933(x104824,x104825)),f335(f335(f260(x104824,x104825),x104822),x104823)),f335(f335(f260(x104824,x104825),x104828),x104827))),f315(f933(x104824,x104825),x104826)))+P106(f335(f335(f337(f933(f933(x104824,x104825),f933(x104824,x104825))),f335(f335(f260(f933(x104824,x104825),f933(x104824,x104825)),f335(f335(f260(x104824,x104825),f860(x104821,x104826,x104827,x104828,x104823,x104822,x104825,x104824)),f863(x104821,x104826,x104827,x104828,x104823,x104822,x104825,x104824))),f335(f335(f260(x104824,x104825),f857(x104821,x104826,x104827,x104828,x104823,x104822,x104825,x104824)),f864(x104821,x104826,x104827,x104828,x104823,x104822,x104825,x104824)))),x104826)) % 209.33/209.64 [10483]~P106(f335(f335(x104831,x104838),x104837))+P106(f335(f335(x104831,x104832),x104833))+~P106(f335(f335(f337(f933(f933(x104834,x104835),f933(x104834,x104835))),f335(f335(f260(f933(x104834,x104835),f933(x104834,x104835)),f335(f335(f260(x104834,x104835),x104838),x104837)),f335(f335(f260(x104834,x104835),x104832),x104833))),f315(f933(x104834,x104835),x104836)))+P106(f335(f335(f337(f933(f933(x104834,x104835),f933(x104834,x104835))),f335(f335(f260(f933(x104834,x104835),f933(x104834,x104835)),f335(f335(f260(x104834,x104835),f858(x104831,x104836,x104833,x104832,x104837,x104838,x104835,x104834)),f859(x104831,x104836,x104833,x104832,x104837,x104838,x104835,x104834))),f335(f335(f260(x104834,x104835),f861(x104831,x104836,x104833,x104832,x104837,x104838,x104835,x104834)),f862(x104831,x104836,x104833,x104832,x104837,x104838,x104835,x104834)))),x104836)) % 209.33/209.64 [9955]~P23(x99557,x99555,x99551,x99558,x99552,x99554)+~P106(f335(f66(x99555),x99556))+~P106(f335(f335(f337(x99555),x99553),x99556))+E(f335(f335(x99551,f335(x99552,x99553)),f335(x99554,f335(f335(f23(f934(x99555,a922)),x99556),f335(f335(f317(x99555),x99553),f195(f934(x99555,a922)))))),f335(x99554,x99556)) % 209.33/209.64 [9963]~P23(x99636,x99633,x99631,x99637,x99638,x99632)+~P106(f335(f66(x99633),x99635))+~P106(f335(f66(x99633),x99634))+E(f335(f335(x99631,f335(x99632,f335(f335(f117(f934(x99633,a922)),x99634),x99635))),f335(x99632,f335(f335(f108(f934(x99633,a922)),x99634),x99635))),f335(f335(x99631,f335(x99632,x99634)),f335(x99632,x99635))) % 209.33/209.64 [10045]P42(x100451,x100452,x100453,x100454,x100455,f335(f335(x100453,x100456),x100457))+~P42(x100451,x100452,x100453,x100454,f335(f335(f23(f934(x100451,a922)),x100455),f335(f335(f317(x100451),x100458),f195(f934(x100451,a922)))),x100459)+~E(f335(f335(x100453,x100456),x100457),f335(f335(x100453,x100458),x100459))+~P106(f335(f335(f337(x100451),x100458),x100455)) % 209.33/209.64 [9987]~P12(x99876,x99877,x99878,x99879,x998710,x99871)+E(f335(f335(x99871,x99872),x99873),f335(f335(x99871,x99874),x99875))+~P106(f335(f335(f337(f933(x99877,x99877)),f335(f335(f260(x99877,x99877),x99873),x99875)),x998710))+~P106(f335(f335(f337(f933(x99876,x99876)),f335(f335(f260(x99876,x99876),x99872),x99874)),x99879)) % 209.33/209.64 [9590]~P96(x95902)+E(x95901,f195(f934(x95902,a922)))+~P106(f335(f66(x95902),x95901))+P106(f335(f335(f337(x95902),f13(x95902,x95901)),x95901))+~P106(f335(f335(f337(x95902),f335(f335(f117(x95902),f370(x95901,x95902)),f377(x95901,x95902))),f335(f335(f317(x95902),f370(x95901,x95902)),f335(f335(f317(x95902),f377(x95901,x95902)),f195(f934(x95902,a922)))))) % 209.33/209.64 [9591]~P96(x95912)+E(x95911,f195(f934(x95912,a922)))+~P106(f335(f66(x95912),x95911))+P106(f335(f335(f337(x95912),f10(x95912,x95911)),x95911))+~P106(f335(f335(f337(x95912),f335(f335(f108(x95912),f371(x95911,x95912)),f372(x95911,x95912))),f335(f335(f317(x95912),f371(x95911,x95912)),f335(f335(f317(x95912),f372(x95911,x95912)),f195(f934(x95912,a922)))))) % 209.33/209.64 [9622]~P69(x96222)+E(x96221,f195(f934(x96222,a922)))+~P106(f335(f66(x96222),x96221))+P106(f335(f335(f337(x96222),f335(f68(x96222,f87(x96222)),x96221)),x96221))+~P106(f335(f335(f337(x96222),f335(f335(f87(x96222),f366(x96221,x96222)),f367(x96221,x96222))),f335(f335(f317(x96222),f366(x96221,x96222)),f335(f335(f317(x96222),f367(x96221,x96222)),f195(f934(x96222,a922)))))) % 209.33/209.64 [9627]~P108(x96272)+E(x96271,f195(f934(x96272,a922)))+~P106(f335(f66(x96272),x96271))+P106(f335(f335(f337(x96272),f11(x96272,f241(x96272),x96271)),x96271))+~P106(f335(f335(f337(x96272),f335(f335(f241(x96272),f411(x96271,x96272)),f413(x96271,x96272))),f335(f335(f317(x96272),f411(x96271,x96272)),f335(f335(f317(x96272),f413(x96271,x96272)),f195(f934(x96272,a922)))))) % 209.33/209.64 [9628]~P108(x96282)+E(x96281,f195(f934(x96282,a922)))+~P106(f335(f66(x96282),x96281))+P106(f335(f335(f337(x96282),f12(x96282,f242(x96282),x96281)),x96281))+~P106(f335(f335(f337(x96282),f335(f335(f242(x96282),f417(x96281,x96282)),f418(x96281,x96282))),f335(f335(f317(x96282),f417(x96281,x96282)),f335(f335(f317(x96282),f418(x96281,x96282)),f195(f934(x96282,a922)))))) % 209.33/209.64 [6767]~P87(x67672)+E(x67671,f2(x67672))+~E(f335(f335(f86(x67672),x67673),x67671),f2(x67672))+~P106(f335(f335(f243(x67672),f2(x67672)),x67673))+~P106(f335(f335(f243(x67672),f2(x67672)),x67671)) % 209.33/209.64 [6768]~P87(x67682)+E(x67681,f2(x67682))+~E(f335(f335(f86(x67682),x67681),x67683),f2(x67682))+~P106(f335(f335(f243(x67682),f2(x67682)),x67683))+~P106(f335(f335(f243(x67682),f2(x67682)),x67681)) % 209.33/209.64 [7295]~P108(x72952)+~P13(x72952,x72951)+E(x72951,f120(x72952))+~P106(f335(f335(f337(x72952),x72953),f335(f179(x72952),f731(x72951,x72952))))+P106(f335(f335(f243(x72952),f750(x72951,x72952)),x72953)) % 209.33/209.64 [7463]~P108(x74631)+E(f14(x74631,x74632),x74633)+~P106(f335(f66(x74631),x74632))+~P106(f335(f335(f243(x74631),x74633),f612(x74633,x74632,x74631)))+~P106(f335(f335(f337(x74631),x74633),x74632)) % 209.33/209.64 [7496]~P108(x74961)+~P13(x74961,x74962)+~P13(x74961,x74963)+P13(x74961,f335(f335(f141(x74961),x74962),x74963))+P106(f335(f335(f337(x74961),f737(x74963,x74962,x74961)),f335(f179(x74961),x74962))) % 209.33/209.64 [7497]~P108(x74971)+~P13(x74971,x74972)+~P13(x74971,x74973)+P13(x74971,f335(f335(f141(x74971),x74972),x74973))+P106(f335(f335(f337(x74971),f738(x74973,x74972,x74971)),f335(f179(x74971),x74973))) % 209.33/209.64 [7562]~P108(x75621)+E(f14(x75621,x75622),x75623)+~P106(f335(f66(x75621),x75622))+P106(f335(f335(f337(x75621),f612(x75623,x75622,x75621)),x75622))+~P106(f335(f335(f337(x75621),x75623),x75622)) % 209.33/209.64 [7563]~P108(x75631)+E(f15(x75631,x75632),x75633)+~P106(f335(f66(x75631),x75632))+P106(f335(f335(f337(x75631),f613(x75633,x75632,x75631)),x75632))+~P106(f335(f335(f337(x75631),x75633),x75632)) % 209.33/209.64 [8121]~P108(x81211)+E(f15(x81211,x81212),x81213)+~P106(f335(f66(x81211),x81212))+~P106(f335(f335(f337(x81211),x81213),x81212))+~P106(f335(f335(f243(x81211),f613(x81213,x81212,x81211)),x81213)) % 209.33/209.64 [8435]~P108(x84351)+~P13(x84351,x84352)+~P13(x84351,x84353)+P13(x84351,f335(f335(f141(x84351),x84352),x84353))+~P106(f335(f335(f243(x84351),f737(x84353,x84352,x84351)),f738(x84353,x84352,x84351))) % 209.33/209.64 [9231]~P96(x92312)+E(x92311,f195(f934(x92312,a922)))+~E(f335(f335(f117(x92312),f335(x92313,f375(x92311,x92313,x92312))),f335(x92313,f379(x92311,x92313,x92312))),f335(x92313,f335(f335(f117(x92312),f375(x92311,x92313,x92312)),f379(x92311,x92313,x92312))))+E(f13(x92312,f335(f318(x92312,x92312,x92313),x92311)),f335(x92313,f13(x92312,x92311)))+~P106(f335(f66(x92312),x92311)) % 209.33/209.64 [9232]~P96(x92322)+E(x92321,f195(f934(x92322,a922)))+~E(f335(f335(f108(x92322),f335(x92323,f376(x92321,x92323,x92322))),f335(x92323,f378(x92321,x92323,x92322))),f335(x92323,f335(f335(f108(x92322),f376(x92321,x92323,x92322)),f378(x92321,x92323,x92322))))+E(f10(x92322,f335(f318(x92322,x92322,x92323),x92321)),f335(x92323,f10(x92322,x92321)))+~P106(f335(f66(x92322),x92321)) % 209.33/209.64 [9233]~P108(x92332)+E(x92331,f195(f934(x92332,a922)))+~E(f335(f335(f241(x92332),f335(x92333,f501(x92331,x92333,x92332))),f335(x92333,f504(x92331,x92333,x92332))),f335(x92333,f335(f335(f241(x92332),f501(x92331,x92333,x92332)),f504(x92331,x92333,x92332))))+E(f14(x92332,f335(f318(x92332,x92332,x92333),x92331)),f335(x92333,f14(x92332,x92331)))+~P106(f335(f66(x92332),x92331)) % 209.33/209.64 [9234]~P108(x92342)+E(x92341,f195(f934(x92342,a922)))+~E(f335(f335(f242(x92342),f335(x92343,f502(x92341,x92343,x92342))),f335(x92343,f503(x92341,x92343,x92342))),f335(x92343,f335(f335(f242(x92342),f502(x92341,x92343,x92342)),f503(x92341,x92343,x92342))))+E(f15(x92342,f335(f318(x92342,x92342,x92343),x92341)),f335(x92343,f15(x92342,x92341)))+~P106(f335(f66(x92342),x92341)) % 209.33/209.64 [9302]~P108(x93022)+E(x93021,f195(f934(x93022,a922)))+~E(f335(f335(f241(x93022),f335(x93023,f492(x93021,x93023,x93022))),f335(x93023,f497(x93021,x93023,x93022))),f335(x93023,f335(f335(f241(x93022),f492(x93021,x93023,x93022)),f497(x93021,x93023,x93022))))+E(f11(x93022,f241(x93022),f335(f318(x93022,x93022,x93023),x93021)),f335(x93023,f11(x93022,f241(x93022),x93021)))+~P106(f335(f66(x93022),x93021)) % 209.33/209.64 [9303]~P108(x93032)+E(x93031,f195(f934(x93032,a922)))+~E(f335(f335(f242(x93032),f335(x93033,f493(x93031,x93033,x93032))),f335(x93033,f496(x93031,x93033,x93032))),f335(x93033,f335(f335(f242(x93032),f493(x93031,x93033,x93032)),f496(x93031,x93033,x93032))))+E(f12(x93032,f242(x93032),f335(f318(x93032,x93032,x93033),x93031)),f335(x93033,f12(x93032,f242(x93032),x93031)))+~P106(f335(f66(x93032),x93031)) % 209.33/209.64 [6784]~P69(x67842)+E(x67841,f195(f934(x67842,a922)))+~P106(f335(f66(x67842),x67841))+E(f335(f68(x67842,f87(x67842)),f335(f335(f317(x67842),x67843),x67841)),f335(f335(f87(x67842),x67843),f335(f68(x67842,f87(x67842)),x67841)))+P106(f335(f335(f337(x67842),x67843),x67841)) % 209.33/209.64 [7301]~P96(x73012)+E(f335(f335(f108(x73012),f10(x73012,x73011)),f10(x73012,x73013)),f10(x73012,x73013))+E(x73011,f195(f934(x73012,a922)))+~P106(f335(f66(x73012),x73013))+~P106(f335(f335(f243(f934(x73012,a922)),x73011),x73013)) % 209.33/209.64 [7302]~P96(x73022)+E(f335(f335(f117(x73022),f13(x73022,x73021)),f13(x73022,x73023)),f13(x73022,x73023))+E(x73021,f195(f934(x73022,a922)))+~P106(f335(f66(x73022),x73023))+~P106(f335(f335(f243(f934(x73022,a922)),x73021),x73023)) % 209.33/209.64 [7303]~P108(x73032)+E(f335(f335(f241(x73032),f14(x73032,x73031)),f14(x73032,x73033)),f14(x73032,x73033))+E(x73031,f195(f934(x73032,a922)))+~P106(f335(f66(x73032),x73033))+~P106(f335(f335(f243(f934(x73032,a922)),x73031),x73033)) % 209.33/209.64 [7304]~P108(x73042)+E(f335(f335(f242(x73042),f15(x73042,x73041)),f15(x73042,x73043)),f15(x73042,x73043))+E(x73041,f195(f934(x73042,a922)))+~P106(f335(f66(x73042),x73043))+~P106(f335(f335(f243(f934(x73042,a922)),x73041),x73043)) % 209.33/209.64 [7609]~P108(x76092)+E(x76091,f195(f934(x76092,a922)))+~P106(f335(f66(x76092),x76093))+P106(f335(f335(f243(x76092),f14(x76092,x76093)),f14(x76092,x76091)))+~P106(f335(f335(f243(f934(x76092,a922)),x76091),x76093)) % 209.33/209.64 [7610]~P108(x76102)+E(x76101,f195(f934(x76102,a922)))+~P106(f335(f66(x76102),x76103))+P106(f335(f335(f243(x76102),f15(x76102,x76101)),f15(x76102,x76103)))+~P106(f335(f335(f243(f934(x76102,a922)),x76101),x76103)) % 209.33/209.64 [7663]~P96(x76631)+E(f13(x76631,x76632),x76633)+~P106(f335(f66(x76631),x76632))+~E(f335(f335(f23(f934(x76631,a922)),x76632),f335(f335(f317(x76631),x76633),f195(f934(x76631,a922)))),f195(f934(x76631,a922)))+~P106(f335(f335(f337(x76631),x76633),x76632)) % 209.33/209.64 [7664]~P96(x76641)+E(f10(x76641,x76642),x76643)+~P106(f335(f66(x76641),x76642))+~E(f335(f335(f23(f934(x76641,a922)),x76642),f335(f335(f317(x76641),x76643),f195(f934(x76641,a922)))),f195(f934(x76641,a922)))+~P106(f335(f335(f337(x76641),x76643),x76642)) % 209.33/209.64 [7665]~P108(x76651)+E(f14(x76651,x76652),x76653)+~P106(f335(f66(x76651),x76652))+~E(f335(f335(f23(f934(x76651,a922)),x76652),f335(f335(f317(x76651),x76653),f195(f934(x76651,a922)))),f195(f934(x76651,a922)))+~P106(f335(f335(f337(x76651),x76653),x76652)) % 209.33/209.64 [7666]~P108(x76661)+E(f15(x76661,x76662),x76663)+~P106(f335(f66(x76661),x76662))+~E(f335(f335(f23(f934(x76661,a922)),x76662),f335(f335(f317(x76661),x76663),f195(f934(x76661,a922)))),f195(f934(x76661,a922)))+~P106(f335(f335(f337(x76661),x76663),x76662)) % 209.33/209.64 [7758]~P108(x77581)+E(f11(x77581,f241(x77581),x77582),x77583)+~P106(f335(f66(x77581),x77582))+~E(f335(f335(f23(f934(x77581,a922)),x77582),f335(f335(f317(x77581),x77583),f195(f934(x77581,a922)))),f195(f934(x77581,a922)))+~P106(f335(f335(f337(x77581),x77583),x77582)) % 209.33/209.64 [7759]~P108(x77591)+E(f12(x77591,f242(x77591),x77592),x77593)+~P106(f335(f66(x77591),x77592))+~E(f335(f335(f23(f934(x77591,a922)),x77592),f335(f335(f317(x77591),x77593),f195(f934(x77591,a922)))),f195(f934(x77591,a922)))+~P106(f335(f335(f337(x77591),x77593),x77592)) % 209.33/209.64 [7794]~P101(x77942)+E(x77941,f195(f934(x77942,a922)))+~P106(f335(f66(x77942),x77941))+~P106(f335(f335(f243(x77942),x77943),f364(x77943,x77941,x77942)))+P106(f335(f335(f243(x77942),x77943),f335(f68(x77942,f108(x77942)),x77941))) % 209.33/209.64 [7795]~P108(x77952)+E(x77951,f195(f934(x77952,a922)))+~P106(f335(f66(x77952),x77951))+~P106(f335(f335(f243(x77952),x77953),f395(x77953,x77951,x77952)))+P106(f335(f335(f243(x77952),x77953),f335(f68(x77952,f241(x77952)),x77951))) % 209.33/209.64 [7796]~P108(x77962)+E(x77961,f195(f934(x77962,a922)))+~P106(f335(f66(x77962),x77961))+~P106(f335(f335(f244(x77962),x77963),f396(x77963,x77961,x77962)))+P106(f335(f335(f244(x77962),x77963),f335(f68(x77962,f241(x77962)),x77961))) % 209.33/209.64 [7881]~P101(x78812)+E(x78811,f195(f934(x78812,a922)))+~P106(f335(f66(x78812),x78811))+P106(f335(f335(f337(x78812),f364(x78813,x78811,x78812)),x78811))+P106(f335(f335(f243(x78812),x78813),f335(f68(x78812,f108(x78812)),x78811))) % 209.33/209.64 [7882]~P108(x78822)+E(x78821,f195(f934(x78822,a922)))+~P106(f335(f66(x78822),x78821))+P106(f335(f335(f337(x78822),f395(x78823,x78821,x78822)),x78821))+P106(f335(f335(f243(x78822),x78823),f335(f68(x78822,f241(x78822)),x78821))) % 209.33/209.64 [7883]~P108(x78832)+E(x78831,f195(f934(x78832,a922)))+~P106(f335(f66(x78832),x78831))+P106(f335(f335(f337(x78832),f396(x78833,x78831,x78832)),x78831))+P106(f335(f335(f244(x78832),x78833),f335(f68(x78832,f241(x78832)),x78831))) % 209.33/209.64 [8002]~P108(x80022)+E(x80021,f195(f934(x80022,a922)))+E(f335(f335(f241(x80022),f11(x80022,f241(x80022),x80021)),f11(x80022,f241(x80022),x80023)),f11(x80022,f241(x80022),x80023))+~P106(f335(f66(x80022),x80023))+~P106(f335(f335(f243(f934(x80022,a922)),x80021),x80023)) % 209.33/209.64 [8003]~P108(x80032)+E(x80031,f195(f934(x80032,a922)))+E(f335(f335(f242(x80032),f12(x80032,f242(x80032),x80031)),f12(x80032,f242(x80032),x80033)),f12(x80032,f242(x80032),x80033))+~P106(f335(f66(x80032),x80033))+~P106(f335(f335(f243(f934(x80032,a922)),x80031),x80033)) % 209.33/209.64 [8199]~E(f583(x81991,x81993,x81992),f584(x81991,x81993,x81992))+~E(f335(f40(x81992),f585(x81991,x81993,x81992)),x81991)+E(f335(f335(f87(a927),x81991),f335(f40(f934(x81992,a922)),x81993)),f335(f40(x81992),f42(f934(x81992,a922),x81993)))+~P106(f335(f66(x81992),f42(f934(x81992,a922),x81993)))+~P106(f335(f66(f934(x81992,a922)),x81993)) % 209.33/209.64 [8375]~P108(x83752)+E(x83751,f195(f934(x83752,a922)))+~P106(f335(f66(x83752),x83753))+P106(f335(f335(f243(x83752),f335(f68(x83752,f241(x83752)),x83753)),f335(f68(x83752,f241(x83752)),x83751)))+~P106(f335(f335(f243(f934(x83752,a922)),x83751),x83753)) % 209.33/209.64 [8675]~E(f583(x86751,x86753,x86752),f584(x86751,x86753,x86752))+E(f335(f335(f87(a927),x86751),f335(f40(f934(x86752,a922)),x86753)),f335(f40(x86752),f42(f934(x86752,a922),x86753)))+P106(f335(f335(f337(f934(x86752,a922)),f585(x86751,x86753,x86752)),x86753))+~P106(f335(f66(x86752),f42(f934(x86752,a922),x86753)))+~P106(f335(f66(f934(x86752,a922)),x86753)) % 209.33/209.64 [8701]~E(f335(f40(x87012),f585(x87011,x87013,x87012)),x87011)+E(f335(f335(f87(a927),x87011),f335(f40(f934(x87012,a922)),x87013)),f335(f40(x87012),f42(f934(x87012,a922),x87013)))+P106(f335(f335(f337(f934(x87012,a922)),f584(x87011,x87013,x87012)),x87013))+~P106(f335(f66(x87012),f42(f934(x87012,a922),x87013)))+~P106(f335(f66(f934(x87012,a922)),x87013)) % 209.33/209.64 [8702]~E(f335(f40(x87022),f585(x87021,x87023,x87022)),x87021)+E(f335(f335(f87(a927),x87021),f335(f40(f934(x87022,a922)),x87023)),f335(f40(x87022),f42(f934(x87022,a922),x87023)))+P106(f335(f335(f337(f934(x87022,a922)),f583(x87021,x87023,x87022)),x87023))+~P106(f335(f66(x87022),f42(f934(x87022,a922),x87023)))+~P106(f335(f66(f934(x87022,a922)),x87023)) % 209.33/209.64 [8727]~E(f335(f40(x87272),f585(x87271,x87273,x87272)),x87271)+~E(f335(f335(f108(f934(x87272,a922)),f584(x87271,x87273,x87272)),f583(x87271,x87273,x87272)),f195(f934(x87272,a922)))+E(f335(f335(f87(a927),x87271),f335(f40(f934(x87272,a922)),x87273)),f335(f40(x87272),f42(f934(x87272,a922),x87273)))+~P106(f335(f66(f934(x87272,a922)),x87273))+~P106(f335(f66(x87272),f42(f934(x87272,a922),x87273))) % 209.33/209.64 [8991]E(f335(f335(f87(a927),x89911),f335(f40(f934(x89912,a922)),x89913)),f335(f40(x89912),f42(f934(x89912,a922),x89913)))+P106(f335(f335(f337(f934(x89912,a922)),f585(x89911,x89913,x89912)),x89913))+P106(f335(f335(f337(f934(x89912,a922)),f584(x89911,x89913,x89912)),x89913))+~P106(f335(f66(f934(x89912,a922)),x89913))+~P106(f335(f66(x89912),f42(f934(x89912,a922),x89913))) % 209.33/209.64 [8992]E(f335(f335(f87(a927),x89921),f335(f40(f934(x89922,a922)),x89923)),f335(f40(x89922),f42(f934(x89922,a922),x89923)))+P106(f335(f335(f337(f934(x89922,a922)),f585(x89921,x89923,x89922)),x89923))+P106(f335(f335(f337(f934(x89922,a922)),f583(x89921,x89923,x89922)),x89923))+~P106(f335(f66(f934(x89922,a922)),x89923))+~P106(f335(f66(x89922),f42(f934(x89922,a922),x89923))) % 209.33/209.64 [9018]~E(f335(f335(f108(f934(x90182,a922)),f584(x90181,x90183,x90182)),f583(x90181,x90183,x90182)),f195(f934(x90182,a922)))+E(f335(f335(f87(a927),x90181),f335(f40(f934(x90182,a922)),x90183)),f335(f40(x90182),f42(f934(x90182,a922),x90183)))+~P106(f335(f66(f934(x90182,a922)),x90183))+P106(f335(f335(f337(f934(x90182,a922)),f585(x90181,x90183,x90182)),x90183))+~P106(f335(f66(x90182),f42(f934(x90182,a922),x90183))) % 209.33/209.64 [9277]~P95(x92772)+E(x92771,f195(f934(x92772,a922)))+~E(f335(f335(f87(x92772),f335(x92773,f380(x92771,x92773,x92772))),f335(x92773,f381(x92771,x92773,x92772))),f335(x92773,f335(f335(f87(x92772),f380(x92771,x92773,x92772)),f381(x92771,x92773,x92772))))+~P106(f335(f66(x92772),x92771))+E(f335(f68(x92772,f87(x92772)),f335(f318(x92772,x92772,x92773),x92771)),f335(x92773,f335(f68(x92772,f87(x92772)),x92771))) % 209.33/209.64 [10207]P106(f335(f335(x102071,x102072),x102073))+P106(f335(f335(f244(a1),f481(x102071,x102073,x102072)),f489(x102071,x102073,x102072)))+P106(f335(f335(f243(a1),f489(x102071,x102073,x102072)),f2(a1)))+P106(f335(f335(x102071,f481(x102071,x102073,x102072)),f335(f335(f87(a1),f335(f110(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),f489(x102071,x102073,x102072))))+~P106(f335(f323(f933(a1,a1),a63),f335(f335(f260(a1,a1),x102072),x102073))) % 209.33/209.64 [10213]P106(f335(f335(x102131,x102132),x102133))+P106(f335(f335(f243(a1),f491(x102131,x102133,x102132)),f2(a1)))+P106(f335(f335(x102131,f490(x102131,x102133,x102132)),f335(f335(f87(a1),f335(f110(a1),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),f491(x102131,x102133,x102132))))+P106(f335(f335(f243(a1),f2(a1)),f335(f335(f86(a1),f490(x102131,x102133,x102132)),f491(x102131,x102133,x102132))))+~P106(f335(f323(f933(a1,a1),a57),f335(f335(f260(a1,a1),x102132),x102133))) % 209.33/209.64 [8170]~P122(x81701)+~P106(f335(f335(f243(x81701),x81702),f84(x81701)))+~P106(f335(f335(f243(x81701),f2(x81701)),x81702))+~P106(f335(f335(f243(x81701),f2(x81701)),x81703))+P106(f335(f335(f243(x81701),f335(f335(f87(x81701),x81702),x81703)),x81703)) % 209.33/209.64 [8171]~P122(x81711)+~P106(f335(f335(f243(x81711),x81713),f84(x81711)))+~P106(f335(f335(f243(x81711),f2(x81711)),x81713))+~P106(f335(f335(f243(x81711),f2(x81711)),x81712))+P106(f335(f335(f243(x81711),f335(f335(f87(x81711),x81712),x81713)),x81712)) % 209.33/209.64 [8522]~P108(x85222)+E(x85221,f195(f934(x85222,a922)))+~P106(f335(f66(x85222),x85221))+P106(f335(f335(f337(x85222),f394(x85223,x85221,x85222)),x85221))+~P106(f335(f335(f243(x85222),f335(f68(x85222,f241(x85222)),x85221)),x85223)) % 209.33/209.64 [8523]~P108(x85232)+E(x85231,f195(f934(x85232,a922)))+~P106(f335(f66(x85232),x85231))+P106(f335(f335(f337(x85232),f397(x85233,x85231,x85232)),x85231))+~P106(f335(f335(f244(x85232),f335(f68(x85232,f241(x85232)),x85231)),x85233)) % 209.33/209.64 [8524]~P108(x85242)+E(x85241,f195(f934(x85242,a922)))+~P106(f335(f66(x85242),x85241))+P106(f335(f335(f243(x85242),f394(x85243,x85241,x85242)),x85243))+~P106(f335(f335(f243(x85242),f335(f68(x85242,f241(x85242)),x85241)),x85243)) % 209.33/209.64 [8525]~P108(x85252)+E(x85251,f195(f934(x85252,a922)))+~P106(f335(f66(x85252),x85251))+P106(f335(f335(f244(x85252),f397(x85253,x85251,x85252)),x85253))+~P106(f335(f335(f244(x85252),f335(f68(x85252,f241(x85252)),x85251)),x85253)) % 209.33/209.64 [8611]~P106(f335(x86111,x86113))+P106(f335(x86111,f528(x86111,x86112)))+P106(f335(x86111,f516(x86111,x86112)))+~P106(f335(f335(f244(a1),f2(a1)),x86112))+P106(f335(x86111,f335(f335(f23(a1),f516(x86111,x86112)),f335(f335(f87(a1),f529(x86111,x86112)),x86112)))) % 209.33/209.64 [8828]~P106(f335(x88281,x88283))+P106(f335(x88281,f516(x88281,x88282)))+~P106(f335(f335(f244(a1),f2(a1)),x88282))+P106(f335(f335(f337(a1),f528(x88281,x88282)),f311(a1,f84(a1),x88282)))+P106(f335(x88281,f335(f335(f23(a1),f516(x88281,x88282)),f335(f335(f87(a1),f529(x88281,x88282)),x88282)))) % 209.33/209.64 [9040]~P106(f335(x90401,x90403))+~P106(f335(x90401,f516(x90401,x90402)))+P106(f335(x90401,f528(x90401,x90402)))+~P106(f335(f335(f244(a1),f2(a1)),x90402))+~P106(f335(x90401,f335(f335(f23(a1),f516(x90401,x90402)),f335(f335(f87(a1),f529(x90401,x90402)),x90402)))) % 209.33/209.64 [9168]~P106(f335(x91681,x91683))+~P106(f335(x91681,f516(x91681,x91682)))+~P106(f335(f335(f244(a1),f2(a1)),x91682))+P106(f335(f335(f337(a1),f528(x91681,x91682)),f311(a1,f84(a1),x91682)))+~P106(f335(x91681,f335(f335(f23(a1),f516(x91681,x91682)),f335(f335(f87(a1),f529(x91681,x91682)),x91682)))) % 209.33/209.64 [8946]~P96(x89461)+~P106(f335(f66(x89461),x89462))+E(f335(f335(f23(f934(x89461,a922)),x89462),f335(f335(f317(x89461),x89463),f195(f934(x89461,a922)))),f195(f934(x89461,a922)))+~P106(f335(f335(f337(x89461),x89463),x89462))+E(f335(f335(f117(x89461),x89463),f13(x89461,f335(f335(f23(f934(x89461,a922)),x89462),f335(f335(f317(x89461),x89463),f195(f934(x89461,a922)))))),f13(x89461,x89462)) % 209.33/209.64 [8947]~P96(x89471)+~P106(f335(f66(x89471),x89472))+E(f335(f335(f23(f934(x89471,a922)),x89472),f335(f335(f317(x89471),x89473),f195(f934(x89471,a922)))),f195(f934(x89471,a922)))+~P106(f335(f335(f337(x89471),x89473),x89472))+E(f335(f335(f108(x89471),x89473),f10(x89471,f335(f335(f23(f934(x89471,a922)),x89472),f335(f335(f317(x89471),x89473),f195(f934(x89471,a922)))))),f10(x89471,x89472)) % 209.33/209.64 [8948]~P108(x89481)+~P106(f335(f66(x89481),x89482))+E(f335(f335(f23(f934(x89481,a922)),x89482),f335(f335(f317(x89481),x89483),f195(f934(x89481,a922)))),f195(f934(x89481,a922)))+~P106(f335(f335(f337(x89481),x89483),x89482))+E(f335(f335(f241(x89481),x89483),f14(x89481,f335(f335(f23(f934(x89481,a922)),x89482),f335(f335(f317(x89481),x89483),f195(f934(x89481,a922)))))),f14(x89481,x89482)) % 209.33/209.64 [8949]~P108(x89491)+~P106(f335(f66(x89491),x89492))+E(f335(f335(f23(f934(x89491,a922)),x89492),f335(f335(f317(x89491),x89493),f195(f934(x89491,a922)))),f195(f934(x89491,a922)))+~P106(f335(f335(f337(x89491),x89493),x89492))+E(f335(f335(f242(x89491),x89493),f15(x89491,f335(f335(f23(f934(x89491,a922)),x89492),f335(f335(f317(x89491),x89493),f195(f934(x89491,a922)))))),f15(x89491,x89492)) % 209.33/209.64 [9011]~P108(x90111)+~P106(f335(f66(x90111),x90112))+E(f335(f335(f23(f934(x90111,a922)),x90112),f335(f335(f317(x90111),x90113),f195(f934(x90111,a922)))),f195(f934(x90111,a922)))+~P106(f335(f335(f337(x90111),x90113),x90112))+E(f335(f335(f241(x90111),x90113),f11(x90111,f241(x90111),f335(f335(f23(f934(x90111,a922)),x90112),f335(f335(f317(x90111),x90113),f195(f934(x90111,a922)))))),f11(x90111,f241(x90111),x90112)) % 209.33/209.64 [9012]~P108(x90121)+~P106(f335(f66(x90121),x90122))+E(f335(f335(f23(f934(x90121,a922)),x90122),f335(f335(f317(x90121),x90123),f195(f934(x90121,a922)))),f195(f934(x90121,a922)))+~P106(f335(f335(f337(x90121),x90123),x90122))+E(f335(f335(f242(x90121),x90123),f12(x90121,f242(x90121),f335(f335(f23(f934(x90121,a922)),x90122),f335(f335(f317(x90121),x90123),f195(f934(x90121,a922)))))),f12(x90121,f242(x90121),x90122)) % 209.33/209.64 [9027]~P96(x90271)+~P106(f335(f66(x90271),x90273))+~P106(f335(f66(x90271),x90272))+E(f335(f335(f108(f934(x90271,a922)),x90272),x90273),f195(f934(x90271,a922)))+E(f335(f335(f108(x90271),f10(x90271,f335(f335(f117(f934(x90271,a922)),x90272),x90273))),f10(x90271,f335(f335(f108(f934(x90271,a922)),x90272),x90273))),f335(f335(f108(x90271),f10(x90271,x90272)),f10(x90271,x90273))) % 209.33/209.64 [9028]~P96(x90281)+~P106(f335(f66(x90281),x90283))+~P106(f335(f66(x90281),x90282))+E(f335(f335(f108(f934(x90281,a922)),x90282),x90283),f195(f934(x90281,a922)))+E(f335(f335(f117(x90281),f13(x90281,f335(f335(f117(f934(x90281,a922)),x90282),x90283))),f13(x90281,f335(f335(f108(f934(x90281,a922)),x90282),x90283))),f335(f335(f117(x90281),f13(x90281,x90282)),f13(x90281,x90283))) % 209.33/209.64 [9029]~P108(x90291)+~P106(f335(f66(x90291),x90293))+~P106(f335(f66(x90291),x90292))+E(f335(f335(f108(f934(x90291,a922)),x90292),x90293),f195(f934(x90291,a922)))+E(f335(f335(f241(x90291),f14(x90291,f335(f335(f117(f934(x90291,a922)),x90292),x90293))),f14(x90291,f335(f335(f108(f934(x90291,a922)),x90292),x90293))),f335(f335(f241(x90291),f14(x90291,x90292)),f14(x90291,x90293))) % 209.33/209.64 [9030]~P108(x90301)+~P106(f335(f66(x90301),x90303))+~P106(f335(f66(x90301),x90302))+E(f335(f335(f108(f934(x90301,a922)),x90302),x90303),f195(f934(x90301,a922)))+E(f335(f335(f242(x90301),f15(x90301,f335(f335(f117(f934(x90301,a922)),x90302),x90303))),f15(x90301,f335(f335(f108(f934(x90301,a922)),x90302),x90303))),f335(f335(f242(x90301),f15(x90301,x90302)),f15(x90301,x90303))) % 209.33/209.64 [9249]~P108(x92491)+~P106(f335(f66(x92491),x92493))+~P106(f335(f66(x92491),x92492))+E(f335(f335(f108(f934(x92491,a922)),x92492),x92493),f195(f934(x92491,a922)))+E(f335(f335(f241(x92491),f11(x92491,f241(x92491),f335(f335(f117(f934(x92491,a922)),x92492),x92493))),f11(x92491,f241(x92491),f335(f335(f108(f934(x92491,a922)),x92492),x92493))),f335(f335(f241(x92491),f11(x92491,f241(x92491),x92492)),f11(x92491,f241(x92491),x92493))) % 209.33/209.64 [9250]~P108(x92501)+~P106(f335(f66(x92501),x92503))+~P106(f335(f66(x92501),x92502))+E(f335(f335(f108(f934(x92501,a922)),x92502),x92503),f195(f934(x92501,a922)))+E(f335(f335(f242(x92501),f12(x92501,f242(x92501),f335(f335(f117(f934(x92501,a922)),x92502),x92503))),f12(x92501,f242(x92501),f335(f335(f108(f934(x92501,a922)),x92502),x92503))),f335(f335(f242(x92501),f12(x92501,f242(x92501),x92502)),f12(x92501,f242(x92501),x92503))) % 209.33/209.64 [10042]~P125(x100423)+E(x100421,x100422)+~P106(f335(f335(f243(x100423),f2(x100423)),x100422))+~P106(f335(f335(f243(x100423),f2(x100423)),x100421))+~E(f335(f335(f252(x100423),x100421),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)))),f335(f335(f252(x100423),x100422),f335(f110(a927),f335(f335(f86(a1),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104)),f335(f335(f23(a1),f335(f335(f86(a1),a89),a89)),a104))))) % 209.33/209.64 [6583]E(f401(x65831,x65832,x65833),x65834)+E(f335(x65831,x65834),f2(a927))+~E(f335(f335(f6(x65833,a927),x65831),x65832),f84(a927))+~P106(f335(f66(x65833),x65832))+~P106(f335(f335(f337(x65833),x65834),x65832)) % 209.33/209.64 [6645]E(f404(x66451,x66452,x66453),x66454)+E(f335(x66451,x66454),f2(a927))+~E(f335(f335(f6(x66453,a927),x66451),x66452),f335(a119,f2(a927)))+~P106(f335(f66(x66453),x66452))+~P106(f335(f335(f337(x66453),x66454),x66452)) % 209.33/209.64 [6753]~P108(x67531)+~P5(x67531)+P106(f335(f335(f244(x67531),x67532),f42(x67531,x67533)))+~P106(f335(f335(f244(x67531),x67532),x67534))+~P106(f335(f335(f337(x67531),x67534),x67533)) % 209.33/209.64 [6927]~P108(x69271)+~P5(x69271)+~P106(f335(f335(f244(x69271),x69274),x69273))+P106(f335(f335(f244(x69271),f43(x69271,x69272)),x69273))+~P106(f335(f335(f337(x69271),x69274),x69272)) % 209.33/209.64 [7180]~P125(x71803)+E(x71801,x71802)+~E(f335(f335(f252(x71803),x71801),f335(a119,x71804)),f335(f335(f252(x71803),x71802),f335(a119,x71804)))+~P106(f335(f335(f243(x71803),f2(x71803)),x71802))+~P106(f335(f335(f243(x71803),f2(x71803)),x71801)) % 209.33/209.64 [7390]~E(f407(x73902,x73903,x73901,x73904),x73904)+~E(f335(x73902,x73904),f84(a927))+E(f335(f335(f6(x73901,a927),x73902),x73903),f84(a927))+~P106(f335(f66(x73901),x73903))+~P106(f335(f335(f337(x73901),x73904),x73903)) % 209.33/209.64 [7397]~P116(x73974)+~P134(x73974)+E(f335(x73971,f471(x73971,x73972,x73973,x73974)),f2(x73974))+~E(f335(f335(f9(x73973,x73974),x73971),x73972),f2(x73974))+~P106(f335(f66(x73973),x73972)) % 209.33/209.64 [7486]~E(f405(x74862,x74863,x74861,x74864),x74864)+~E(f335(x74862,x74864),f335(a119,f2(a927)))+E(f335(f335(f6(x74861,a927),x74862),x74863),f335(a119,f2(a927)))+~P106(f335(f66(x74861),x74863))+~P106(f335(f335(f337(x74861),x74864),x74863)) % 209.33/209.64 [8211]~E(f335(x82112,x82114),f84(a927))+~E(f335(x82112,f407(x82112,x82113,x82111,x82114)),f2(a927))+E(f335(f335(f6(x82111,a927),x82112),x82113),f84(a927))+~P106(f335(f66(x82111),x82113))+~P106(f335(f335(f337(x82111),x82114),x82113)) % 209.33/209.64 [8249]~E(f335(x82492,x82494),f335(a119,f2(a927)))+~E(f335(x82492,f405(x82492,x82493,x82491,x82494)),f2(a927))+E(f335(f335(f6(x82491,a927),x82492),x82493),f335(a119,f2(a927)))+~P106(f335(f66(x82491),x82493))+~P106(f335(f335(f337(x82491),x82494),x82493)) % 209.33/209.64 [8795]~P108(x87951)+~P13(x87951,x87954)+P13(x87951,x87952)+~E(x87952,f335(f335(f158(x87951),x87953),x87954))+~P106(f335(f335(f243(x87951),x87953),f751(x87952,x87951,x87954,x87953))) % 209.33/209.64 [8832]E(x88321,x88322)+E(f335(f335(f23(a1),f510(x88323,x88322,x88324,x88321)),f511(x88323,x88322,x88324,x88321)),x88321)+~E(f335(f335(f86(a1),x88321),x88324),x88322)+~P106(f335(f335(f244(a1),f2(a1)),x88324))+~P106(f335(f335(f337(a1),x88322),x88323)) % 209.33/209.64 [8833]E(x88331,x88332)+E(f335(f335(f86(a1),f517(x88333,x88332,x88334,x88331)),f518(x88333,x88332,x88334,x88331)),x88331)+~E(f335(f335(f23(a1),x88331),x88334),x88332)+~P106(f335(f335(f244(a1),f2(a1)),x88334))+~P106(f335(f335(f337(a1),x88332),x88333)) % 209.33/209.64 [9025]E(f335(x90251,f633(x90252,x90251,x90253,x90254)),x90252)+P106(f335(f335(f243(a927),x90254),f634(x90252,x90251,x90253,x90254)))+~P106(f335(f335(f243(a1),x90252),f335(x90251,x90253)))+~P106(f335(f335(f244(a927),x90254),x90253))+~P106(f335(f335(f243(a1),f335(x90251,x90254)),x90252)) % 209.33/209.64 [9026]~P108(x90261)+~P13(x90261,x90263)+P13(x90261,x90262)+~E(x90262,f335(f335(f158(x90261),x90264),x90263))+P106(f335(f335(f337(x90261),f751(x90262,x90261,x90263,x90264)),f335(f179(x90261),x90263))) % 209.33/209.64 [9044]~P116(x90444)+~P134(x90444)+~E(f335(f335(f9(x90441,x90444),x90442),x90443),f2(x90444))+~P106(f335(f66(x90441),x90443))+P106(f335(f335(f337(x90441),f471(x90442,x90443,x90441,x90444)),x90443)) % 209.33/209.64 [9082]~E(f335(x90822,x90824),f84(a927))+E(f335(f335(f6(x90821,a927),x90822),x90823),f84(a927))+~P106(f335(f66(x90821),x90823))+~P106(f335(f335(f337(x90821),x90824),x90823))+P106(f335(f335(f337(x90821),f407(x90822,x90823,x90821,x90824)),x90823)) % 209.33/209.64 [9094]E(x90941,x90942)+~E(f335(f335(f86(a1),x90942),x90944),x90941)+~P106(f335(f335(f244(a1),f2(a1)),x90944))+~P106(f335(f335(f337(a1),x90941),x90943))+P106(f335(f335(f337(a1),f510(x90943,x90941,x90944,x90942)),x90943)) % 209.33/209.64 [9095]E(x90951,x90952)+~E(f335(f335(f23(a1),x90952),x90954),x90951)+~P106(f335(f335(f244(a1),f2(a1)),x90954))+~P106(f335(f335(f337(a1),x90951),x90953))+P106(f335(f335(f337(a1),f517(x90953,x90951,x90954,x90952)),x90953)) % 209.33/209.64 [9097]~E(f335(x90972,x90974),f335(a119,f2(a927)))+E(f335(f335(f6(x90971,a927),x90972),x90973),f335(a119,f2(a927)))+~P106(f335(f66(x90971),x90973))+~P106(f335(f335(f337(x90971),x90974),x90973))+P106(f335(f335(f337(x90971),f405(x90972,x90973,x90971,x90974)),x90973)) % 209.33/209.64 [9102]P59(x91022,x91023,x91024,x91021)+E(x91021,f195(f934(x91022,a922)))+~P106(f335(f66(x91022),x91024))+~P106(f335(f66(x91022),x91021))+P106(f335(f335(f337(x91022),f822(x91023,x91021,x91024,x91022)),x91024)) % 209.33/209.64 [9103]P59(x91032,x91033,x91034,x91031)+E(x91031,f195(f934(x91032,a922)))+~P106(f335(f66(x91032),x91034))+~P106(f335(f66(x91032),x91031))+P106(f335(f335(f337(x91032),f359(x91031,x91034,x91033,x91032)),x91034)) % 209.33/209.64 [9104]P59(x91042,x91043,x91044,x91041)+E(x91041,f195(f934(x91042,a922)))+~P106(f335(f66(x91042),x91044))+~P106(f335(f66(x91042),x91041))+P106(f335(f335(f337(x91042),f823(x91041,x91044,x91043,x91042)),x91044)) % 209.33/209.64 [9181]E(x91811,x91812)+~E(f335(f335(f86(a1),x91812),x91814),x91811)+~P106(f335(f335(f244(a1),f2(a1)),x91814))+~P106(f335(f335(f337(a1),x91811),x91813))+P106(f335(f335(f337(a1),f511(x91813,x91811,x91814,x91812)),f311(a1,f84(a1),x91814))) % 209.33/209.64 [9182]E(x91821,x91822)+~E(f335(f335(f23(a1),x91822),x91824),x91821)+~P106(f335(f335(f244(a1),f2(a1)),x91824))+~P106(f335(f335(f337(a1),x91821),x91823))+P106(f335(f335(f337(a1),f518(x91823,x91821,x91824,x91822)),f311(a1,f84(a1),x91824))) % 209.33/209.64 [9255]P106(f335(f335(f243(a927),x92551),f633(x92552,x92553,x92554,x92551)))+~P106(f335(f335(f243(a1),x92552),f335(x92553,x92554)))+P106(f335(f335(f243(a927),x92551),f634(x92552,x92553,x92554,x92551)))+~P106(f335(f335(f244(a927),x92551),x92554))+~P106(f335(f335(f243(a1),f335(x92553,x92551)),x92552)) % 209.33/209.64 [9370]E(f335(x93701,f633(x93702,x93701,x93703,x93704)),x93702)+~P106(f335(f335(f243(a1),x93702),f335(x93701,x93703)))+P106(f335(f335(f244(a927),f634(x93702,x93701,x93703,x93704)),x93703))+~P106(f335(f335(f244(a927),x93704),x93703))+~P106(f335(f335(f243(a1),f335(x93701,x93704)),x93702)) % 209.33/209.64 [9496]~P106(f335(f335(f243(a1),x94962),f335(x94963,x94964)))+P106(f335(f335(f243(a927),x94961),f634(x94962,x94963,x94964,x94961)))+P106(f335(f335(f243(a927),f633(x94962,x94963,x94964,x94961)),x94964))+~P106(f335(f335(f244(a927),x94961),x94964))+~P106(f335(f335(f243(a1),f335(x94963,x94961)),x94962)) % 209.33/209.64 [9497]~P106(f335(f335(f243(a1),x94972),f335(x94973,x94974)))+P106(f335(f335(f243(a927),x94971),f633(x94972,x94973,x94974,x94971)))+P106(f335(f335(f244(a927),f634(x94972,x94973,x94974,x94971)),x94974))+~P106(f335(f335(f244(a927),x94971),x94974))+~P106(f335(f335(f243(a1),f335(x94973,x94971)),x94972)) % 209.33/209.64 [9605]~P106(f335(f335(f243(a1),x96051),f335(x96052,x96053)))+P106(f335(f335(f244(a927),f634(x96051,x96052,x96053,x96054)),x96053))+~P106(f335(f335(f244(a927),x96054),x96053))+~P106(f335(f335(f243(a1),f335(x96052,x96054)),x96051))+P106(f335(f335(f243(a927),f633(x96051,x96052,x96053,x96054)),x96053)) % 209.33/209.64 [9689]E(x96891,f195(f934(x96892,a922)))+~P106(f335(f66(x96892),x96894))+~P106(f335(f66(x96892),x96891))+P106(f335(f335(f337(f933(f934(x96892,a922),f934(x96892,a922))),f335(f335(f260(f934(x96892,a922),f934(x96892,a922)),x96894),x96891)),f326(x96892,x96893)))+P106(f335(f335(f337(x96892),f361(x96893,x96891,x96894,x96892)),x96894)) % 209.33/209.64 [9690]E(x96901,f195(f934(x96902,a922)))+~P106(f335(f66(x96902),x96904))+~P106(f335(f66(x96902),x96901))+P106(f335(f335(f337(f933(f934(x96902,a922),f934(x96902,a922))),f335(f335(f260(f934(x96902,a922),f934(x96902,a922)),x96904),x96901)),f326(x96902,x96903)))+P106(f335(f335(f337(x96902),f610(x96903,x96901,x96904,x96902)),x96904)) % 209.33/209.64 [10367]E(f335(x103671,f633(x103672,x103671,x103673,x103674)),x103672)+~P106(f335(f335(f243(a1),x103672),f335(x103671,x103673)))+~P106(f335(f335(f243(a1),f335(f81(a1),f335(f335(f23(a1),f335(x103671,f335(f335(f86(a927),f634(x103672,x103671,x103673,x103674)),f84(a927)))),f335(x103671,f634(x103672,x103671,x103673,x103674))))),f84(a1)))+~P106(f335(f335(f244(a927),x103674),x103673))+~P106(f335(f335(f243(a1),f335(x103671,x103674)),x103672)) % 209.33/209.64 [10368]~P106(f335(f335(f243(a1),x103682),f335(x103683,x103684)))+P106(f335(f335(f243(a927),x103681),f633(x103682,x103683,x103684,x103681)))+~P106(f335(f335(f243(a1),f335(f81(a1),f335(f335(f23(a1),f335(x103683,f335(f335(f86(a927),f634(x103682,x103683,x103684,x103681)),f84(a927)))),f335(x103683,f634(x103682,x103683,x103684,x103681))))),f84(a1)))+~P106(f335(f335(f244(a927),x103681),x103684))+~P106(f335(f335(f243(a1),f335(x103683,x103681)),x103682)) % 209.33/209.64 [10369]~P106(f335(f335(f243(a1),x103691),f335(x103692,x103693)))+~P106(f335(f335(f243(a1),f335(f81(a1),f335(f335(f23(a1),f335(x103692,f335(f335(f86(a927),f634(x103691,x103692,x103693,x103694)),f84(a927)))),f335(x103692,f634(x103691,x103692,x103693,x103694))))),f84(a1)))+~P106(f335(f335(f244(a927),x103694),x103693))+~P106(f335(f335(f243(a1),f335(x103692,x103694)),x103691))+P106(f335(f335(f243(a927),f633(x103691,x103692,x103693,x103694)),x103693)) % 209.33/209.64 [7449]~P67(x74491)+P106(f335(f335(f244(x74491),x74492),f2(x74491)))+~P106(f335(f335(f243(x74491),x74493),f2(x74491)))+P106(f335(f335(f244(x74491),f2(x74491)),x74492))+P106(f335(f335(f243(x74491),x74493),f335(f335(f299(x74491),x74494),x74492))) % 209.33/209.64 [7450]~P67(x74501)+P106(f335(f335(f244(x74501),x74502),f2(x74501)))+~P106(f335(f335(f244(x74501),x74503),f2(x74501)))+P106(f335(f335(f244(x74501),f2(x74501)),x74502))+P106(f335(f335(f244(x74501),x74503),f335(f335(f299(x74501),x74504),x74502))) % 209.33/209.64 [7700]~P67(x77001)+P106(f335(f335(f243(x77001),x77002),f2(x77001)))+P106(f335(f335(f244(x77001),x77003),f2(x77001)))+P106(f335(f335(f244(x77001),f2(x77001)),x77003))+~P106(f335(f335(f243(x77001),x77002),f335(f335(f299(x77001),x77004),x77003))) % 209.33/209.64 [7701]~P67(x77011)+P106(f335(f335(f244(x77011),x77012),f2(x77011)))+P106(f335(f335(f244(x77011),x77013),f2(x77011)))+P106(f335(f335(f244(x77011),f2(x77011)),x77013))+~P106(f335(f335(f244(x77011),x77012),f335(f335(f299(x77011),x77014),x77013))) % 209.33/209.64 [7815]E(x78151,x78152)+~E(f335(f335(f171(x78153),x78154),x78151),f335(f335(f171(x78153),x78154),x78152))+~P106(f335(f144(x78153),x78154))+~P106(f335(f335(f244(a927),x78152),f335(f196(f928(x78153)),x78154)))+~P106(f335(f335(f244(a927),x78151),f335(f196(f928(x78153)),x78154))) % 209.33/209.64 [8172]~P67(x81721)+~P106(f335(f335(f243(x81721),x81723),f2(x81721)))+P106(f335(f335(f244(x81721),f2(x81721)),x81722))+~P106(f335(f335(f243(x81721),x81724),f335(f335(f87(x81721),x81723),x81722)))+P106(f335(f335(f243(x81721),x81723),f335(f335(f299(x81721),x81724),x81722))) % 209.33/209.64 [8173]~P67(x81731)+~P106(f335(f335(f244(x81731),x81733),f2(x81731)))+P106(f335(f335(f244(x81731),f2(x81731)),x81732))+~P106(f335(f335(f244(x81731),x81734),f335(f335(f87(x81731),x81733),x81732)))+P106(f335(f335(f244(x81731),x81733),f335(f335(f299(x81731),x81734),x81732))) % 209.33/209.64 [8174]~P67(x81741)+~P106(f335(f335(f244(x81741),x81742),f2(x81741)))+P106(f335(f335(f244(x81741),f2(x81741)),x81742))+~P106(f335(f335(f243(x81741),x81744),f335(f335(f87(x81741),x81743),x81742)))+P106(f335(f335(f243(x81741),x81743),f335(f335(f299(x81741),x81744),x81742))) % 209.33/209.64 [8175]~P67(x81751)+~P106(f335(f335(f244(x81751),x81752),f2(x81751)))+P106(f335(f335(f244(x81751),f2(x81751)),x81752))+~P106(f335(f335(f243(x81751),x81754),f335(f335(f299(x81751),x81753),x81752)))+P106(f335(f335(f243(x81751),x81753),f335(f335(f87(x81751),x81754),x81752))) % 209.33/209.64 [8176]~P67(x81761)+~P106(f335(f335(f244(x81761),x81762),f2(x81761)))+P106(f335(f335(f244(x81761),f2(x81761)),x81762))+~P106(f335(f335(f244(x81761),x81764),f335(f335(f87(x81761),x81763),x81762)))+P106(f335(f335(f244(x81761),x81763),f335(f335(f299(x81761),x81764),x81762))) % 209.33/209.64 [8177]~P67(x81771)+~P106(f335(f335(f244(x81771),x81772),f2(x81771)))+P106(f335(f335(f244(x81771),f2(x81771)),x81772))+~P106(f335(f335(f244(x81771),x81774),f335(f335(f299(x81771),x81773),x81772)))+P106(f335(f335(f244(x81771),x81773),f335(f335(f87(x81771),x81774),x81772))) % 209.33/209.64 [8303]~P62(x83031)+~P106(f335(f335(f295(x83031),x83033),x83034))+~P106(f335(f335(f295(x83031),x83033),x83032))+~P106(f335(f335(f295(x83031),x83032),x83034))+P106(f335(f335(f295(x83031),f335(f335(f41(x83031),x83032),x83033)),f335(f335(f41(x83031),x83034),x83033))) % 209.33/209.64 [8318]~P108(x83181)+~P13(x83181,x83182)+~P106(f335(f335(f243(a927),x83183),x83184))+P106(f335(f335(f243(x83181),f335(f335(f171(x83181),x83182),x83183)),f335(f335(f171(x83181),x83182),x83184)))+~P106(f335(f335(f244(a927),x83184),f335(f196(f928(x83181)),x83182))) % 209.33/209.64 [8366]~P125(x83661)+~P106(f335(f335(f243(x83661),x83662),f84(x83661)))+~P106(f335(f335(f243(x83661),f2(x83661)),x83662))+~P106(f335(f335(f243(a927),x83664),x83663))+P106(f335(f335(f243(x83661),f335(f335(f252(x83661),x83662),x83663)),f335(f335(f252(x83661),x83662),x83664))) % 209.33/209.64 [8367]~P125(x83671)+~P106(f335(f335(f244(x83671),x83672),f84(x83671)))+~P106(f335(f335(f244(x83671),f2(x83671)),x83672))+~P106(f335(f335(f244(a927),x83674),x83673))+P106(f335(f335(f244(x83671),f335(f335(f252(x83671),x83672),x83673)),f335(f335(f252(x83671),x83672),x83674))) % 209.33/209.64 [8368]~P125(x83681)+~P106(f335(f335(f243(x83681),f2(x83681)),x83682))+~P106(f335(f335(f244(a927),f2(a927)),x83683))+~P106(f335(f335(f244(x83681),x83682),x83684))+P106(f335(f335(f244(x83681),f335(f335(f252(x83681),x83682),x83683)),f335(f335(f252(x83681),x83684),x83683))) % 209.33/209.64 [8386]~P108(x83861)+~P13(x83861,f335(f175(x83861),x83862))+~P106(f335(f335(f243(a927),x83864),x83863))+P106(f335(f335(f243(x83861),f335(f335(f171(x83861),x83862),x83863)),f335(f335(f171(x83861),x83862),x83864)))+~P106(f335(f335(f244(a927),x83863),f335(f196(f928(x83861)),x83862))) % 209.33/209.64 [8617]~P62(x86171)+P106(f335(f335(f295(x86171),x86172),x86173))+~P106(f335(f335(f295(x86171),x86174),x86173))+~P106(f335(f335(f295(x86171),x86174),x86172))+~P106(f335(f335(f295(x86171),f335(f335(f41(x86171),x86172),x86174)),f335(f335(f41(x86171),x86173),x86174))) % 209.33/209.64 [8632]~P67(x86321)+~P106(f335(f335(f243(x86321),x86322),f2(x86321)))+~P106(f335(f335(f243(x86321),x86323),x86324))+~P106(f335(f335(f244(x86321),f2(x86321)),f335(f335(f87(x86321),x86323),x86324)))+P106(f335(f335(f243(x86321),f335(f335(f299(x86321),x86322),x86323)),f335(f335(f299(x86321),x86322),x86324))) % 209.33/209.64 [8633]~P68(x86331)+~P106(f335(f335(f244(x86331),x86332),f2(x86331)))+~P106(f335(f335(f244(x86331),x86333),x86334))+~P106(f335(f335(f244(x86331),f2(x86331)),f335(f335(f87(x86331),x86333),x86334)))+P106(f335(f335(f244(x86331),f335(f335(f299(x86331),x86332),x86333)),f335(f335(f299(x86331),x86332),x86334))) % 209.33/209.64 [8642]~P68(x86421)+~P106(f335(f335(f243(x86421),x86424),x86423))+~P106(f335(f335(f243(x86421),f2(x86421)),x86422))+~P106(f335(f335(f244(x86421),f2(x86421)),f335(f335(f87(x86421),x86423),x86424)))+P106(f335(f335(f243(x86421),f335(f335(f299(x86421),x86422),x86423)),f335(f335(f299(x86421),x86422),x86424))) % 209.33/209.64 [8643]~P68(x86431)+~P106(f335(f335(f244(x86431),x86434),x86433))+~P106(f335(f335(f244(x86431),f2(x86431)),x86432))+~P106(f335(f335(f244(x86431),f2(x86431)),f335(f335(f87(x86431),x86433),x86434)))+P106(f335(f335(f244(x86431),f335(f335(f299(x86431),x86432),x86433)),f335(f335(f299(x86431),x86432),x86434))) % 209.33/209.64 [8743]P106(f335(x87431,x87432))+~P106(f335(f66(x87434),x87432))+P106(f335(x87431,f356(x87431,x87433,x87432,x87434)))+~P106(f335(x87431,f195(f934(x87434,a922))))+~P106(f335(f335(f243(f934(x87434,a922)),x87432),x87433)) % 209.33/209.64 [8752]P106(f335(x87521,x87522))+P106(f335(f66(x87523),f356(x87521,x87524,x87522,x87523)))+~P106(f335(f66(x87523),x87522))+~P106(f335(x87521,f195(f934(x87523,a922))))+~P106(f335(f335(f243(f934(x87523,a922)),x87522),x87524)) % 209.33/209.64 [9020]E(f335(f335(f86(a1),f524(x90201,x90202,x90203,x90204)),f525(x90201,x90202,x90203,x90204)),x90204)+~P106(f335(f335(f244(a1),f2(a1)),x90203))+~P106(f335(f335(f244(a1),x90202),x90204))+~P106(f335(f335(f337(a1),x90202),x90201))+P106(f335(f335(f244(a1),x90202),f335(f335(f23(a1),x90204),x90203))) % 209.33/209.64 [9237]~P106(f335(f335(f244(a1),f2(a1)),x92373))+~P106(f335(f335(f244(a1),x92372),x92374))+~P106(f335(f335(f337(a1),x92372),x92371))+P106(f335(f335(f337(a1),f524(x92371,x92372,x92373,x92374)),x92371))+P106(f335(f335(f244(a1),x92372),f335(f335(f23(a1),x92374),x92373))) % 209.33/209.64 [9248]P106(f335(x92481,x92482))+~P106(f335(f66(x92483),x92482))+P106(f335(f335(f337(x92483),f357(x92481,x92484,x92482,x92483)),x92484))+~P106(f335(x92481,f195(f934(x92483,a922))))+~P106(f335(f335(f243(f934(x92483,a922)),x92482),x92484)) % 209.33/209.64 [9265]E(f335(f335(f86(a1),f512(x92651,x92652,x92653,x92654)),f513(x92651,x92652,x92653,x92654)),x92654)+~P106(f335(f335(f244(a1),f2(a1)),x92653))+~P106(f335(f335(f243(a1),x92652),x92654))+P106(f335(f335(f243(a1),x92652),f335(f335(f23(a1),x92654),x92653)))+~P106(f335(f335(f337(a1),f335(f335(f23(a1),x92652),f84(a1))),x92651)) % 209.33/209.64 [9320]~P106(f335(f335(f244(a1),f2(a1)),x93203))+~P106(f335(f335(f244(a1),x93201),x93202))+~P106(f335(f335(f337(a1),x93201),x93204))+P106(f335(f335(f337(a1),f525(x93204,x93201,x93203,x93202)),f311(a1,f84(a1),x93203)))+P106(f335(f335(f244(a1),x93201),f335(f335(f23(a1),x93202),x93203))) % 209.33/209.64 [9346]~P75(x93462)+~E(f808(x93463,x93464,x93461,x93462),f809(x93463,x93464,x93461,x93462))+~P106(f335(f66(x93461),f810(x93463,x93464,x93461,x93462)))+E(f335(f335(f6(f934(x93461,a922),x93462),f335(f6(x93461,x93462),x93463)),x93464),f335(f335(f6(x93461,x93462),x93463),f42(f934(x93461,a922),x93464)))+~P106(f335(f66(f934(x93461,a922)),x93464)) % 209.33/209.64 [9350]~P75(x93502)+~E(f335(x93503,f811(x93503,x93504,x93501,x93502)),f2(x93502))+~P106(f335(f66(x93501),f810(x93503,x93504,x93501,x93502)))+E(f335(f335(f6(f934(x93501,a922),x93502),f335(f6(x93501,x93502),x93503)),x93504),f335(f335(f6(x93501,x93502),x93503),f42(f934(x93501,a922),x93504)))+~P106(f335(f66(f934(x93501,a922)),x93504)) % 209.33/209.64 [9413]~P106(f335(f335(f244(a1),f2(a1)),x94133))+~P106(f335(f335(f243(a1),x94132),x94134))+P106(f335(f335(f337(a1),f512(x94131,x94132,x94133,x94134)),x94131))+P106(f335(f335(f243(a1),x94132),f335(f335(f23(a1),x94134),x94133)))+~P106(f335(f335(f337(a1),f335(f335(f23(a1),x94132),f84(a1))),x94131)) % 209.33/209.64 [9455]~P106(f335(f335(f244(a1),f2(a1)),x94553))+~P106(f335(f335(f243(a1),x94551),x94552))+P106(f335(f335(f337(a1),f513(x94554,x94551,x94553,x94552)),f311(a1,f84(a1),x94553)))+P106(f335(f335(f243(a1),x94551),f335(f335(f23(a1),x94552),x94553)))+~P106(f335(f335(f337(a1),f335(f335(f23(a1),x94551),f84(a1))),x94554)) % 209.33/209.64 [9476]~P75(x94762)+~E(f808(x94763,x94764,x94761,x94762),f809(x94763,x94764,x94761,x94762))+E(f335(f335(f6(f934(x94761,a922),x94762),f335(f6(x94761,x94762),x94763)),x94764),f335(f335(f6(x94761,x94762),x94763),f42(f934(x94761,a922),x94764)))+P106(f335(f335(f337(f934(x94761,a922)),f810(x94763,x94764,x94761,x94762)),x94764))+~P106(f335(f66(f934(x94761,a922)),x94764)) % 209.33/209.64 [9481]~P75(x94812)+~E(f335(x94813,f811(x94813,x94814,x94811,x94812)),f2(x94812))+E(f335(f335(f6(f934(x94811,a922),x94812),f335(f6(x94811,x94812),x94813)),x94814),f335(f335(f6(x94811,x94812),x94813),f42(f934(x94811,a922),x94814)))+P106(f335(f335(f337(f934(x94811,a922)),f810(x94813,x94814,x94811,x94812)),x94814))+~P106(f335(f66(f934(x94811,a922)),x94814)) % 209.33/209.64 [9582]~P75(x95822)+~P106(f335(f66(x95821),f810(x95823,x95824,x95821,x95822)))+E(f335(f335(f6(f934(x95821,a922),x95822),f335(f6(x95821,x95822),x95823)),x95824),f335(f335(f6(x95821,x95822),x95823),f42(f934(x95821,a922),x95824)))+P106(f335(f335(f337(f934(x95821,a922)),f809(x95823,x95824,x95821,x95822)),x95824))+~P106(f335(f66(f934(x95821,a922)),x95824)) % 209.33/209.64 [9583]~P75(x95832)+~P106(f335(f66(x95831),f810(x95833,x95834,x95831,x95832)))+E(f335(f335(f6(f934(x95831,a922),x95832),f335(f6(x95831,x95832),x95833)),x95834),f335(f335(f6(x95831,x95832),x95833),f42(f934(x95831,a922),x95834)))+P106(f335(f335(f337(f934(x95831,a922)),f808(x95833,x95834,x95831,x95832)),x95834))+~P106(f335(f66(f934(x95831,a922)),x95834)) % 209.33/209.64 [9660]~P75(x96602)+E(f335(f335(f6(f934(x96601,a922),x96602),f335(f6(x96601,x96602),x96603)),x96604),f335(f335(f6(x96601,x96602),x96603),f42(f934(x96601,a922),x96604)))+P106(f335(f335(f337(f934(x96601,a922)),f810(x96603,x96604,x96601,x96602)),x96604))+P106(f335(f335(f337(f934(x96601,a922)),f809(x96603,x96604,x96601,x96602)),x96604))+~P106(f335(f66(f934(x96601,a922)),x96604)) % 209.33/209.64 [9661]~P75(x96612)+E(f335(f335(f6(f934(x96611,a922),x96612),f335(f6(x96611,x96612),x96613)),x96614),f335(f335(f6(x96611,x96612),x96613),f42(f934(x96611,a922),x96614)))+P106(f335(f335(f337(f934(x96611,a922)),f810(x96613,x96614,x96611,x96612)),x96614))+P106(f335(f335(f337(f934(x96611,a922)),f808(x96613,x96614,x96611,x96612)),x96614))+~P106(f335(f66(f934(x96611,a922)),x96614)) % 209.33/209.64 [9678]~P75(x96782)+P106(f335(f335(f337(x96781),f811(x96783,x96784,x96781,x96782)),f809(x96783,x96784,x96781,x96782)))+~P106(f335(f66(x96781),f810(x96783,x96784,x96781,x96782)))+E(f335(f335(f6(f934(x96781,a922),x96782),f335(f6(x96781,x96782),x96783)),x96784),f335(f335(f6(x96781,x96782),x96783),f42(f934(x96781,a922),x96784)))+~P106(f335(f66(f934(x96781,a922)),x96784)) % 209.33/209.64 [9679]~P75(x96792)+P106(f335(f335(f337(x96791),f811(x96793,x96794,x96791,x96792)),f808(x96793,x96794,x96791,x96792)))+~P106(f335(f66(x96791),f810(x96793,x96794,x96791,x96792)))+E(f335(f335(f6(f934(x96791,a922),x96792),f335(f6(x96791,x96792),x96793)),x96794),f335(f335(f6(x96791,x96792),x96793),f42(f934(x96791,a922),x96794)))+~P106(f335(f66(f934(x96791,a922)),x96794)) % 209.33/209.64 [9692]P106(f335(x96921,x96922))+~P106(f335(f335(f337(x96923),f357(x96921,x96924,x96922,x96923)),f356(x96921,x96924,x96922,x96923)))+~P106(f335(f66(x96923),x96922))+~P106(f335(x96921,f195(f934(x96923,a922))))+~P106(f335(f335(f243(f934(x96923,a922)),x96922),x96924)) % 209.33/209.64 [9729]~P75(x97292)+P106(f335(f335(f337(x97291),f811(x97293,x97294,x97291,x97292)),f809(x97293,x97294,x97291,x97292)))+E(f335(f335(f6(f934(x97291,a922),x97292),f335(f6(x97291,x97292),x97293)),x97294),f335(f335(f6(x97291,x97292),x97293),f42(f934(x97291,a922),x97294)))+P106(f335(f335(f337(f934(x97291,a922)),f810(x97293,x97294,x97291,x97292)),x97294))+~P106(f335(f66(f934(x97291,a922)),x97294)) % 209.33/209.64 [9730]~P75(x97302)+P106(f335(f335(f337(x97301),f811(x97303,x97304,x97301,x97302)),f808(x97303,x97304,x97301,x97302)))+E(f335(f335(f6(f934(x97301,a922),x97302),f335(f6(x97301,x97302),x97303)),x97304),f335(f335(f6(x97301,x97302),x97303),f42(f934(x97301,a922),x97304)))+P106(f335(f335(f337(f934(x97301,a922)),f810(x97303,x97304,x97301,x97302)),x97304))+~P106(f335(f66(f934(x97301,a922)),x97304)) % 209.33/209.64 [9906]P106(f335(x99061,x99062))+~P106(f335(f66(x99063),x99062))+~P106(f335(x99061,f335(f335(f317(x99063),f357(x99061,x99064,x99062,x99063)),f356(x99061,x99064,x99062,x99063))))+~P106(f335(x99061,f195(f934(x99063,a922))))+~P106(f335(f335(f243(f934(x99063,a922)),x99062),x99064)) % 209.33/209.64 [7947]~P67(x79471)+P106(f335(f335(f244(x79471),x79472),f2(x79471)))+~P106(f335(f335(f243(x79471),f2(x79471)),x79474))+P106(f335(f335(f244(x79471),f2(x79471)),x79472))+P106(f335(f335(f243(x79471),f335(f335(f299(x79471),x79473),x79472)),x79474)) % 209.33/209.64 [7948]~P67(x79481)+P106(f335(f335(f244(x79481),x79482),f2(x79481)))+P106(f335(f335(f244(x79481),f2(x79481)),x79482))+~P106(f335(f335(f244(x79481),f2(x79481)),x79484))+P106(f335(f335(f244(x79481),f335(f335(f299(x79481),x79483),x79482)),x79484)) % 209.33/209.64 [8224]~P106(f335(f335(f243(a1),x82244),f2(a1)))+~E(x82242,f335(f335(f86(a1),f335(f335(f87(a1),x82241),x82243)),x82244))+P106(f335(f335(f244(a1),f2(a1)),x82241))+~P106(f335(f335(f244(a1),x82241),x82244))+P106(f335(f54(x82242,x82241),f335(f335(f260(a1,a1),x82243),x82244))) % 209.33/209.64 [8258]~P106(f335(x82581,x82584))+P106(f335(x82581,f507(x82582,x82581,x82583)))+~P106(f335(f335(f243(a1),f2(a1)),x82582))+~P106(f335(f335(f244(a1),f2(a1)),x82583))+P106(f335(x82581,f335(f335(f23(a1),x82584),f335(f335(f87(a1),x82582),x82583)))) % 209.33/209.64 [8259]~P106(f335(x82591,x82594))+P106(f335(x82591,f537(x82592,x82591,x82593)))+~P106(f335(f335(f243(a1),f2(a1)),x82592))+~P106(f335(f335(f244(a1),f2(a1)),x82593))+P106(f335(x82591,f335(f335(f86(a1),x82594),f335(f335(f87(a1),x82592),x82593)))) % 209.33/209.64 [8260]~P67(x82601)+P106(f335(f335(f244(x82601),x82602),f2(x82601)))+P106(f335(f335(f244(x82601),f2(x82601)),x82602))+P106(f335(f335(f243(x82601),f2(x82601)),x82603))+~P106(f335(f335(f243(x82601),f335(f335(f299(x82601),x82604),x82602)),x82603)) % 209.33/209.64 [8261]~P67(x82611)+P106(f335(f335(f244(x82611),x82612),f2(x82611)))+P106(f335(f335(f244(x82611),f2(x82611)),x82612))+P106(f335(f335(f244(x82611),f2(x82611)),x82613))+~P106(f335(f335(f244(x82611),f335(f335(f299(x82611),x82614),x82612)),x82613)) % 209.33/209.64 [8313]~E(x83131,f335(f335(f86(a1),f335(f335(f87(a1),x83132),x83133)),x83134))+~P106(f335(f335(f243(a1),f2(a1)),x83134))+~P106(f335(f335(f244(a1),f2(a1)),x83132))+~P106(f335(f335(f244(a1),x83134),x83132))+P106(f335(f54(x83131,x83132),f335(f335(f260(a1,a1),x83133),x83134))) % 209.33/209.64 [8425]~P67(x84251)+P106(f335(f335(f244(x84251),x84252),f2(x84251)))+~P106(f335(f335(f243(x84251),f2(x84251)),x84254))+~P106(f335(f335(f243(x84251),x84253),f335(f335(f87(x84251),x84254),x84252)))+P106(f335(f335(f243(x84251),f335(f335(f299(x84251),x84253),x84252)),x84254)) % 209.33/209.64 [8426]~P67(x84261)+P106(f335(f335(f244(x84261),x84262),f2(x84261)))+~P106(f335(f335(f244(x84261),f2(x84261)),x84264))+~P106(f335(f335(f244(x84261),x84263),f335(f335(f87(x84261),x84264),x84262)))+P106(f335(f335(f244(x84261),f335(f335(f299(x84261),x84263),x84262)),x84264)) % 209.33/209.64 [8512]~P67(x85121)+P106(f335(f335(f244(x85121),x85122),f2(x85121)))+~P106(f335(f335(f243(x85121),x85123),f2(x85121)))+P106(f335(f335(f243(x85121),x85123),f335(f335(f299(x85121),x85124),x85122)))+~P106(f335(f335(f243(x85121),f335(f335(f87(x85121),x85123),x85122)),x85124)) % 209.33/209.64 [8513]~P67(x85131)+P106(f335(f335(f244(x85131),x85132),f2(x85131)))+~P106(f335(f335(f244(x85131),x85133),f2(x85131)))+P106(f335(f335(f244(x85131),x85133),f335(f335(f299(x85131),x85134),x85132)))+~P106(f335(f335(f244(x85131),f335(f335(f87(x85131),x85133),x85132)),x85134)) % 209.33/209.64 [8664]~P67(x86641)+~P106(f335(f335(f244(x86641),x86642),f2(x86641)))+P106(f335(f335(f244(x86641),f2(x86641)),x86642))+~P106(f335(f335(f243(x86641),f335(f335(f299(x86641),x86644),x86642)),x86643))+P106(f335(f335(f243(x86641),f335(f335(f87(x86641),x86643),x86642)),x86644)) % 209.33/209.64 [8665]~P67(x86651)+~P106(f335(f335(f244(x86651),x86652),f2(x86651)))+P106(f335(f335(f244(x86651),f2(x86651)),x86652))+~P106(f335(f335(f243(x86651),f335(f335(f87(x86651),x86654),x86652)),x86653))+P106(f335(f335(f243(x86651),f335(f335(f299(x86651),x86653),x86652)),x86654)) % 209.33/209.64 [8666]~P67(x86661)+~P106(f335(f335(f244(x86661),x86662),f2(x86661)))+P106(f335(f335(f244(x86661),f2(x86661)),x86662))+~P106(f335(f335(f244(x86661),f335(f335(f299(x86661),x86664),x86662)),x86663))+P106(f335(f335(f244(x86661),f335(f335(f87(x86661),x86663),x86662)),x86664)) % 209.33/209.64 [8667]~P67(x86671)+~P106(f335(f335(f244(x86671),x86672),f2(x86671)))+P106(f335(f335(f244(x86671),f2(x86671)),x86672))+~P106(f335(f335(f244(x86671),f335(f335(f87(x86671),x86674),x86672)),x86673))+P106(f335(f335(f244(x86671),f335(f335(f299(x86671),x86673),x86672)),x86674)) % 209.33/209.64 [8683]~P67(x86831)+~P106(f335(f335(f243(x86831),f2(x86831)),x86834))+P106(f335(f335(f244(x86831),f2(x86831)),x86832))+~P106(f335(f335(f243(x86831),f335(f335(f87(x86831),x86834),x86832)),x86833))+P106(f335(f335(f243(x86831),f335(f335(f299(x86831),x86833),x86832)),x86834)) % 209.33/209.64 [8684]~P67(x86841)+~P106(f335(f335(f244(x86841),f2(x86841)),x86844))+P106(f335(f335(f244(x86841),f2(x86841)),x86842))+~P106(f335(f335(f244(x86841),f335(f335(f87(x86841),x86844),x86842)),x86843))+P106(f335(f335(f244(x86841),f335(f335(f299(x86841),x86843),x86842)),x86844)) % 209.33/209.64 [8760]~P67(x87601)+~P106(f335(f335(f244(x87601),x87604),f2(x87601)))+~P106(f335(f335(f243(x87601),x87603),f335(f335(f87(x87601),x87602),x87604)))+P106(f335(f335(f243(x87601),x87602),f335(f335(f299(x87601),x87603),x87604)))+~P106(f335(f335(f243(x87601),f335(f335(f87(x87601),x87602),x87604)),x87603)) % 209.33/209.64 [8761]~P67(x87611)+~P106(f335(f335(f243(x87611),x87612),f2(x87611)))+~P106(f335(f335(f243(x87611),x87613),f335(f335(f87(x87611),x87612),x87614)))+P106(f335(f335(f243(x87611),x87612),f335(f335(f299(x87611),x87613),x87614)))+~P106(f335(f335(f243(x87611),f335(f335(f87(x87611),x87612),x87614)),x87613)) % 209.33/209.64 [8762]~P67(x87621)+~P106(f335(f335(f244(x87621),x87624),f2(x87621)))+~P106(f335(f335(f244(x87621),x87623),f335(f335(f87(x87621),x87622),x87624)))+P106(f335(f335(f244(x87621),x87622),f335(f335(f299(x87621),x87623),x87624)))+~P106(f335(f335(f244(x87621),f335(f335(f87(x87621),x87622),x87624)),x87623)) % 209.33/209.64 [8763]~P67(x87631)+~P106(f335(f335(f244(x87631),x87632),f2(x87631)))+~P106(f335(f335(f244(x87631),x87633),f335(f335(f87(x87631),x87632),x87634)))+P106(f335(f335(f244(x87631),x87632),f335(f335(f299(x87631),x87633),x87634)))+~P106(f335(f335(f244(x87631),f335(f335(f87(x87631),x87632),x87634)),x87633)) % 209.33/209.64 [8885]~P67(x88851)+~P106(f335(f335(f244(x88851),x88853),f2(x88851)))+~P106(f335(f335(f243(x88851),x88852),f335(f335(f87(x88851),x88854),x88853)))+~P106(f335(f335(f243(x88851),f335(f335(f87(x88851),x88854),x88853)),x88852))+P106(f335(f335(f243(x88851),f335(f335(f299(x88851),x88852),x88853)),x88854)) % 209.33/209.64 [8886]~P67(x88861)+~P106(f335(f335(f244(x88861),x88863),f2(x88861)))+~P106(f335(f335(f244(x88861),x88862),f335(f335(f87(x88861),x88864),x88863)))+~P106(f335(f335(f244(x88861),f335(f335(f87(x88861),x88864),x88863)),x88862))+P106(f335(f335(f244(x88861),f335(f335(f299(x88861),x88862),x88863)),x88864)) % 209.33/209.64 [8903]~P67(x89031)+~P106(f335(f335(f243(x89031),f2(x89031)),x89034))+~P106(f335(f335(f243(x89031),x89032),f335(f335(f87(x89031),x89034),x89033)))+~P106(f335(f335(f243(x89031),f335(f335(f87(x89031),x89034),x89033)),x89032))+P106(f335(f335(f243(x89031),f335(f335(f299(x89031),x89032),x89033)),x89034)) % 209.33/209.64 [8904]~P67(x89041)+~P106(f335(f335(f244(x89041),f2(x89041)),x89044))+~P106(f335(f335(f244(x89041),x89042),f335(f335(f87(x89041),x89044),x89043)))+~P106(f335(f335(f244(x89041),f335(f335(f87(x89041),x89044),x89043)),x89042))+P106(f335(f335(f244(x89041),f335(f335(f299(x89041),x89042),x89043)),x89044)) % 209.33/209.64 [9087]E(f335(f335(f23(a1),f519(x90871,x90872,x90873,x90874)),f520(x90871,x90872,x90873,x90874)),x90874)+~P106(f335(f335(f244(a1),f2(a1)),x90873))+~P106(f335(f335(f337(a1),x90872),x90871))+~P106(f335(f335(f244(a1),x90874),x90872))+P106(f335(f335(f244(a1),f335(f335(f86(a1),x90874),x90873)),x90872)) % 209.33/209.64 [9162]~P106(f335(x91621,x91622))+~P106(f335(f335(f243(a1),f2(a1)),x91623))+~P106(f335(f335(f244(a1),f2(a1)),x91624))+~P106(f335(x91621,f335(f335(f23(a1),f507(x91623,x91621,x91624)),x91624)))+P106(f335(x91621,f335(f335(f23(a1),x91622),f335(f335(f87(a1),x91623),x91624)))) % 209.33/209.64 [9163]~P106(f335(x91631,x91632))+~P106(f335(f335(f243(a1),f2(a1)),x91633))+~P106(f335(f335(f244(a1),f2(a1)),x91634))+~P106(f335(x91631,f335(f335(f86(a1),f537(x91633,x91631,x91634)),x91634)))+P106(f335(x91631,f335(f335(f86(a1),x91632),f335(f335(f87(a1),x91633),x91634)))) % 209.33/209.64 [9313]~P106(f335(f335(f244(a1),f2(a1)),x93133))+~P106(f335(f335(f337(a1),x93132),x93131))+~P106(f335(f335(f244(a1),x93134),x93132))+P106(f335(f335(f337(a1),f519(x93131,x93132,x93133,x93134)),x93131))+P106(f335(f335(f244(a1),f335(f335(f86(a1),x93134),x93133)),x93132)) % 209.33/209.64 [9333]E(f335(f335(f23(a1),f505(x93331,x93332,x93333,x93334)),f506(x93331,x93332,x93333,x93334)),x93334)+~P106(f335(f335(f244(a1),f2(a1)),x93333))+~P106(f335(f335(f243(a1),x93334),x93332))+~P106(f335(f335(f337(a1),f335(f335(f86(a1),x93332),f84(a1))),x93331))+P106(f335(f335(f243(a1),f335(f335(f86(a1),x93334),x93333)),x93332)) % 209.33/209.64 [9361]~P106(f335(f335(f244(a1),f2(a1)),x93612))+~P106(f335(f335(f337(a1),x93613),x93614))+~P106(f335(f335(f244(a1),x93611),x93613))+P106(f335(f335(f337(a1),f520(x93614,x93613,x93612,x93611)),f311(a1,f84(a1),x93612)))+P106(f335(f335(f244(a1),f335(f335(f86(a1),x93611),x93612)),x93613)) % 209.33/209.64 [9447]~P106(f335(f335(f244(a1),f2(a1)),x94473))+~P106(f335(f335(f243(a1),x94474),x94472))+P106(f335(f335(f337(a1),f505(x94471,x94472,x94473,x94474)),x94471))+~P106(f335(f335(f337(a1),f335(f335(f86(a1),x94472),f84(a1))),x94471))+P106(f335(f335(f243(a1),f335(f335(f86(a1),x94474),x94473)),x94472)) % 209.33/209.64 [9492]~P106(f335(f335(f244(a1),f2(a1)),x94922))+~P106(f335(f335(f243(a1),x94921),x94923))+P106(f335(f335(f337(a1),f506(x94924,x94923,x94922,x94921)),f311(a1,f84(a1),x94922)))+~P106(f335(f335(f337(a1),f335(f335(f86(a1),x94923),f84(a1))),x94924))+P106(f335(f335(f243(a1),f335(f335(f86(a1),x94921),x94922)),x94923)) % 209.33/209.64 [9783]~P37(x97831,x97833)+~P27(x97831,x97834)+P37(x97831,f335(f335(f117(f934(f933(x97831,x97831),a922)),x97832),x97833))+~P106(f335(f335(f243(f934(f933(x97831,x97831),a922)),x97832),f335(f259(f934(f933(x97831,x97831),a922),f934(f933(x97831,x97831),a922)),x97834)))+~P106(f335(f335(f243(f934(f933(x97831,x97831),a922)),x97833),f335(f264(f934(f933(x97831,x97831),a922),f934(f933(x97831,x97831),a922)),x97834))) % 209.33/209.64 [10176]~P18(x101762,x101764,x101763)+E(x101761,f195(f934(x101762,a922)))+~P106(f335(f66(x101762),x101761))+P106(f335(f335(f337(x101762),f335(x101763,x101761)),x101761))+~P106(f335(f335(f337(x101762),f335(f335(x101764,f346(x101761,x101763,x101764,x101762)),f348(x101761,x101763,x101764,x101762))),f335(f335(f317(x101762),f346(x101761,x101763,x101764,x101762)),f335(f335(f317(x101762),f348(x101761,x101763,x101764,x101762)),f195(f934(x101762,a922)))))) % 209.33/209.64 [10098]~P110(x100982)+~P64(x100981)+~P106(f335(f335(f243(f934(x100981,x100982)),x100983),x100984))+P106(f335(f335(f244(f934(x100981,x100982)),x100983),x100984))+~P106(f335(f61(x100981),f335(f335(f8(a922,a922,x100981),a330),f335(f335(f18(x100981,x100982,a922),f335(f335(f8(x100982,f934(x100982,a922),x100981),a332),x100983)),x100984)))) % 209.33/209.64 [9698]~P55(x96981,x96981,x96984)+P106(f335(f335(f337(f933(x96981,x96981)),f335(f335(f260(x96981,x96981),x96982),x96983)),f315(x96981,x96984)))+P106(f335(f335(f337(f933(x96981,x96981)),f335(f335(f260(x96981,x96981),x96983),x96982)),f315(x96981,x96984)))+~P106(f335(f335(f337(f933(x96981,x96981)),f335(f335(f260(x96981,x96981),x96985),x96982)),f315(x96981,x96984)))+~P106(f335(f335(f337(f933(x96981,x96981)),f335(f335(f260(x96981,x96981),x96985),x96983)),f315(x96981,x96984))) % 209.33/209.64 [5865]E(x58651,f2(a927))+~E(f335(f40(x58652),x58655),x58651)+E(f335(f40(x58652),x58653),f335(a119,x58651))+~E(x58653,f335(f335(f317(x58652),x58654),x58655))+P106(f335(f335(f337(x58652),x58654),x58655)) % 209.33/209.64 [5987]~P66(x59872)+E(x59871,f2(x59872))+E(x59873,f2(x59872))+~E(f335(f335(f299(x59872),x59874),x59873),f335(f335(f299(x59872),x59875),x59871))+E(f335(f335(f87(x59872),x59874),x59871),f335(f335(f87(x59872),x59875),x59873)) % 209.33/209.64 [5988]~P66(x59882)+E(x59881,f2(x59882))+E(x59883,f2(x59882))+~E(f335(f335(f87(x59882),x59884),x59883),f335(f335(f87(x59882),x59885),x59881))+E(f335(f335(f299(x59882),x59884),x59881),f335(f335(f299(x59882),x59885),x59883)) % 209.33/209.64 [6057]~E(f335(f40(x60571),x60575),x60573)+~E(x60575,f195(f934(x60571,a922)))+E(f335(f40(x60571),x60572),f335(a119,x60573))+~E(x60572,f335(f335(f317(x60571),x60574),x60575))+P106(f335(f335(f337(x60571),x60574),x60575)) % 209.33/209.64 [6290]~P116(x62902)+~E(f335(x62903,x62905),f2(x62902))+E(f335(f335(f9(x62901,x62902),x62903),x62904),f2(x62902))+~P106(f335(f66(x62901),x62904))+~P106(f335(f335(f337(x62901),x62905),x62904)) % 209.33/209.64 [6658]~P108(x66583)+E(x66581,x66582)+~E(f335(f310(x66583,x66584),x66581),f335(f310(x66583,x66585),x66582))+~P106(f335(f335(f244(x66583),x66585),x66582))+~P106(f335(f335(f244(x66583),x66584),x66581)) % 209.33/209.64 [6659]~P108(x66593)+E(x66591,x66592)+~E(f335(f310(x66593,x66591),x66594),f335(f310(x66593,x66592),x66595))+~P106(f335(f335(f244(x66593),x66592),x66595))+~P106(f335(f335(f244(x66593),x66591),x66594)) % 209.33/209.64 [7717]~P108(x77171)+~P13(x77171,f335(f335(f141(x77171),x77174),x77175))+~P106(f335(f335(f337(x77171),x77173),f335(f179(x77171),x77175)))+~P106(f335(f335(f337(x77171),x77172),f335(f179(x77171),x77174)))+P106(f335(f335(f243(x77171),x77172),x77173)) % 209.33/209.64 [8797]~P110(x87971)+~P106(f335(f335(f244(f934(x87971,a922)),f311(x87971,x87975,x87972)),f311(x87971,x87974,x87973)))+~P106(f335(f335(f243(x87971),x87975),x87972))+P106(f335(f335(f244(x87971),x87972),x87973))+P106(f335(f335(f244(x87971),x87974),x87975)) % 209.33/209.64 [10219]~P17(x102192,x102195,x102193)+E(x102191,f195(f934(x102192,a922)))+~E(f335(f335(x102195,f335(x102194,f387(x102191,x102194,x102193,x102195,x102192))),f335(x102194,f389(x102191,x102194,x102193,x102195,x102192))),f335(x102194,f335(f335(x102195,f387(x102191,x102194,x102193,x102195,x102192)),f389(x102191,x102194,x102193,x102195,x102192))))+E(f335(x102193,f335(f318(x102192,x102192,x102194),x102191)),f335(x102194,f335(x102193,x102191)))+~P106(f335(f66(x102192),x102191)) % 209.33/209.64 [6655]~P18(x66552,x66555,x66553)+E(x66551,f195(f934(x66552,a922)))+~P106(f335(f66(x66552),x66551))+E(f335(x66553,f335(f335(f317(x66552),x66554),x66551)),f335(f335(x66555,x66554),f335(x66553,x66551)))+P106(f335(f335(f337(x66552),x66554),x66551)) % 209.33/209.64 [7477]~P17(x74772,x74773,x74774)+E(f335(f335(x74773,f335(x74774,x74771)),f335(x74774,x74775)),f335(x74774,x74775))+E(x74771,f195(f934(x74772,a922)))+~P106(f335(f66(x74772),x74775))+~P106(f335(f335(f243(f934(x74772,a922)),x74771),x74775)) % 209.33/209.64 [7848]~P18(x78484,x78485,x78481)+E(f335(x78481,x78482),x78483)+~P106(f335(f66(x78484),x78482))+~E(f335(f335(f23(f934(x78484,a922)),x78482),f335(f335(f317(x78484),x78483),f195(f934(x78484,a922)))),f195(f934(x78484,a922)))+~P106(f335(f335(f337(x78484),x78483),x78482)) % 209.33/209.64 [8718]~P71(x87181)+~P118(x87181)+~P106(f335(f66(x87182),x87185))+P106(f335(f335(f295(x87181),f335(f335(f9(x87182,x87181),x87183),x87184)),f335(f335(f9(x87182,x87181),x87183),x87185)))+~P106(f335(f335(f243(f934(x87182,a922)),x87184),x87185)) % 209.33/209.64 [8767]E(x87671,x87672)+~P8(x87673,x87674,x87675)+E(f335(f335(f108(f934(x87673,a922)),x87671),x87672),f195(f934(x87673,a922)))+~P106(f335(f335(f337(f934(x87673,a922)),x87672),f335(f335(f65(x87673),x87674),x87675)))+~P106(f335(f335(f337(f934(x87673,a922)),x87671),f335(f335(f65(x87673),x87674),x87675))) % 209.33/209.64 [9575]~P75(x95752)+~E(f335(x95753,f547(x95753,x95754,x95755,x95751,x95752)),f2(x95752))+E(f335(f335(f6(x95751,x95752),x95753),x95754),f335(f335(f6(x95751,x95752),x95753),x95755))+~P106(f335(f66(x95751),x95755))+~P106(f335(f335(f243(f934(x95751,a922)),x95754),x95755)) % 209.33/209.64 [9576]~P75(x95762)+~E(f335(x95763,f548(x95763,x95764,x95765,x95761,x95762)),f2(x95762))+E(f335(f335(f6(x95761,x95762),x95763),x95764),f335(f335(f6(x95761,x95762),x95763),x95765))+~P106(f335(f66(x95761),x95765))+~P106(f335(f335(f243(f934(x95761,a922)),x95764),x95765)) % 209.33/209.64 [9577]~P71(x95772)+~E(f335(x95773,f539(x95773,x95774,x95775,x95771,x95772)),f84(x95772))+E(f335(f335(f9(x95771,x95772),x95773),x95774),f335(f335(f9(x95771,x95772),x95773),x95775))+~P106(f335(f66(x95771),x95775))+~P106(f335(f335(f243(f934(x95771,a922)),x95774),x95775)) % 209.33/209.64 [9578]~P71(x95782)+~E(f335(x95783,f541(x95783,x95784,x95785,x95781,x95782)),f84(x95782))+E(f335(f335(f9(x95781,x95782),x95783),x95784),f335(f335(f9(x95781,x95782),x95783),x95785))+~P106(f335(f66(x95781),x95785))+~P106(f335(f335(f243(f934(x95781,a922)),x95784),x95785)) % 209.33/209.64 [10051]~P87(x100511)+~P106(f335(f66(x100512),x100515))+~P106(f335(f335(f243(x100511),f2(x100511)),f335(x100513,f412(x100513,x100514,x100515,x100512,x100511))))+P106(f335(f335(f243(x100511),f335(f335(f6(x100512,x100511),x100513),x100514)),f335(f335(f6(x100512,x100511),x100513),x100515)))+~P106(f335(f335(f243(f934(x100512,a922)),x100514),x100515)) % 209.33/209.64 [7714]E(x77141,f2(a927))+P106(f335(x77142,x77143))+~E(x77144,f335(f335(f86(a927),f335(f335(f87(a927),x77141),x77143)),x77145))+~P106(f335(f335(f244(a927),x77145),x77141))+~P106(f335(x77142,f335(f335(f41(a927),x77144),x77141))) % 209.33/209.64 [7788]E(x77881,f2(a927))+P106(f335(x77882,x77883))+~P106(f335(x77882,f50(a927,x77884,x77881)))+~E(x77884,f335(f335(f86(a927),f335(f335(f87(a927),x77881),x77885)),x77883))+~P106(f335(f335(f244(a927),x77883),x77881)) % 209.33/209.64 [8074]~P66(x80743)+E(f335(x80741,x80742),f2(x80743))+~P106(f335(f66(x80744),x80745))+E(f335(f335(f9(x80744,x80743),x80741),f335(f335(f23(f934(x80744,a922)),x80745),f335(f335(f317(x80744),x80742),f195(f934(x80744,a922))))),f335(f335(f9(x80744,x80743),x80741),x80745))+P106(f335(f335(f337(x80744),x80742),x80745)) % 209.33/209.64 [8466]~P75(x84661)+~P106(f335(f66(x84662),x84665))+~P106(f335(f66(x84662),x84664))+~E(f335(f335(f108(f934(x84662,a922)),x84664),x84665),f195(f934(x84662,a922)))+E(f335(f335(f86(x84661),f335(f335(f6(x84662,x84661),x84663),x84664)),f335(f335(f6(x84662,x84661),x84663),x84665)),f335(f335(f6(x84662,x84661),x84663),f335(f335(f117(f934(x84662,a922)),x84664),x84665))) % 209.33/209.64 [8468]~P71(x84681)+~P106(f335(f66(x84682),x84685))+~P106(f335(f66(x84682),x84684))+~E(f335(f335(f108(f934(x84682,a922)),x84684),x84685),f195(f934(x84682,a922)))+E(f335(f335(f87(x84681),f335(f335(f9(x84682,x84681),x84683),x84684)),f335(f335(f9(x84682,x84681),x84683),x84685)),f335(f335(f9(x84682,x84681),x84683),f335(f335(f117(f934(x84682,a922)),x84684),x84685))) % 209.33/209.64 [8567]~P66(x85673)+E(f335(x85671,x85672),f2(x85673))+~P106(f335(f66(x85674),x85675))+E(f335(f335(f9(x85674,x85673),x85671),f335(f335(f23(f934(x85674,a922)),x85675),f335(f335(f317(x85674),x85672),f195(f934(x85674,a922))))),f335(f335(f299(x85673),f335(f335(f9(x85674,x85673),x85671),x85675)),f335(x85671,x85672)))+~P106(f335(f335(f337(x85674),x85672),x85675)) % 209.33/209.64 [9290]~P8(x92901,x92905,x92904)+~E(f335(f335(f65(x92901),f335(f335(f317(x92901),x92902),f195(f934(x92901,a922)))),x92904),f335(f335(f65(x92901),f335(f335(f317(x92901),x92903),f195(f934(x92901,a922)))),x92904))+~P106(f335(f335(f337(x92901),x92903),x92905))+~P106(f335(f335(f337(x92901),x92902),x92905))+P106(f335(f335(f337(f933(x92901,x92901)),f335(f335(f260(x92901,x92901),x92902),x92903)),x92904)) % 209.33/209.64 [9312]~P8(x93121,x93125,x93123)+E(f335(f335(f65(x93121),f335(f335(f317(x93121),x93122),f195(f934(x93121,a922)))),x93123),f335(f335(f65(x93121),f335(f335(f317(x93121),x93124),f195(f934(x93121,a922)))),x93123))+~P106(f335(f335(f337(x93121),x93124),x93125))+~P106(f335(f335(f337(x93121),x93122),x93125))+~P106(f335(f335(f337(f933(x93121,x93121)),f335(f335(f260(x93121,x93121),x93122),x93124)),x93123)) % 209.33/209.64 [9604]~P71(x96041)+~P106(f335(f66(x96042),x96045))+~P106(f335(f66(x96042),x96044))+~E(f335(f335(f108(f934(x96042,a922)),x96044),x96045),f195(f934(x96042,a922)))+E(f335(f335(f87(x96041),f335(f335(f335(f70(x96041,x96042,f87(x96041)),x96043),f84(x96041)),x96044)),f335(f335(f335(f70(x96041,x96042,f87(x96041)),x96043),f84(x96041)),x96045)),f335(f335(f335(f70(x96041,x96042,f87(x96041)),x96043),f84(x96041)),f335(f335(f117(f934(x96042,a922)),x96044),x96045))) % 209.33/209.64 [9613]~P75(x96131)+~E(f335(x96133,f422(x96133,x96135,x96134,x96132,x96131)),f2(x96131))+~P106(f335(f66(x96132),x96134))+~P106(f335(f66(x96132),x96135))+E(f335(f335(f86(x96131),f335(f335(f6(x96132,x96131),x96133),x96134)),f335(f335(f6(x96132,x96131),x96133),x96135)),f335(f335(f6(x96132,x96131),x96133),f335(f335(f117(f934(x96132,a922)),x96134),x96135))) % 209.33/209.64 [9614]~P75(x96141)+~E(f335(x96143,f423(x96143,x96145,x96144,x96142,x96141)),f2(x96141))+~P106(f335(f66(x96142),x96144))+~P106(f335(f66(x96142),x96145))+E(f335(f335(f86(x96141),f335(f335(f6(x96142,x96141),x96143),x96144)),f335(f335(f6(x96142,x96141),x96143),x96145)),f335(f335(f6(x96142,x96141),x96143),f335(f335(f117(f934(x96142,a922)),x96144),x96145))) % 209.33/209.64 [9615]~P71(x96151)+~E(f335(x96153,f483(x96153,x96155,x96154,x96152,x96151)),f84(x96151))+~P106(f335(f66(x96152),x96154))+~P106(f335(f66(x96152),x96155))+E(f335(f335(f87(x96151),f335(f335(f9(x96152,x96151),x96153),x96154)),f335(f335(f9(x96152,x96151),x96153),x96155)),f335(f335(f9(x96152,x96151),x96153),f335(f335(f117(f934(x96152,a922)),x96154),x96155))) % 209.33/209.64 [9616]~P71(x96161)+~E(f335(x96163,f484(x96163,x96165,x96164,x96162,x96161)),f84(x96161))+~P106(f335(f66(x96162),x96164))+~P106(f335(f66(x96162),x96165))+E(f335(f335(f87(x96161),f335(f335(f9(x96162,x96161),x96163),x96164)),f335(f335(f9(x96162,x96161),x96163),x96165)),f335(f335(f9(x96162,x96161),x96163),f335(f335(f117(f934(x96162,a922)),x96164),x96165))) % 209.33/209.64 [9826]~P71(x98261)+~E(f335(x98263,f384(x98263,x98265,x98264,x98262,x98261)),f84(x98261))+~P106(f335(f66(x98262),x98264))+~P106(f335(f66(x98262),x98265))+E(f335(f335(f87(x98261),f335(f335(f335(f70(x98261,x98262,f87(x98261)),x98263),f84(x98261)),x98264)),f335(f335(f335(f70(x98261,x98262,f87(x98261)),x98263),f84(x98261)),x98265)),f335(f335(f335(f70(x98261,x98262,f87(x98261)),x98263),f84(x98261)),f335(f335(f117(f934(x98262,a922)),x98264),x98265))) % 209.33/209.64 [9938]~P75(x99382)+E(f335(f335(f6(x99381,x99382),x99383),x99384),f335(f335(f6(x99381,x99382),x99383),x99385))+~P106(f335(f66(x99381),x99385))+~P106(f335(f335(f243(f934(x99381,a922)),x99384),x99385))+P106(f335(f335(f337(x99381),f547(x99383,x99384,x99385,x99381,x99382)),f335(f335(f23(f934(x99381,a922)),x99385),x99384))) % 209.33/209.64 [9939]~P75(x99392)+E(f335(f335(f6(x99391,x99392),x99393),x99394),f335(f335(f6(x99391,x99392),x99393),x99395))+~P106(f335(f66(x99391),x99395))+~P106(f335(f335(f243(f934(x99391,a922)),x99394),x99395))+P106(f335(f335(f337(x99391),f548(x99393,x99394,x99395,x99391,x99392)),f335(f335(f23(f934(x99391,a922)),x99395),x99394))) % 209.33/209.64 [9940]~P71(x99402)+E(f335(f335(f9(x99401,x99402),x99403),x99404),f335(f335(f9(x99401,x99402),x99403),x99405))+~P106(f335(f66(x99401),x99405))+~P106(f335(f335(f243(f934(x99401,a922)),x99404),x99405))+P106(f335(f335(f337(x99401),f539(x99403,x99404,x99405,x99401,x99402)),f335(f335(f23(f934(x99401,a922)),x99405),x99404))) % 209.33/209.64 [9941]~P71(x99412)+E(f335(f335(f9(x99411,x99412),x99413),x99414),f335(f335(f9(x99411,x99412),x99413),x99415))+~P106(f335(f66(x99411),x99415))+~P106(f335(f335(f243(f934(x99411,a922)),x99414),x99415))+P106(f335(f335(f337(x99411),f541(x99413,x99414,x99415,x99411,x99412)),f335(f335(f23(f934(x99411,a922)),x99415),x99414))) % 209.33/209.64 [9959]~P75(x99591)+~P106(f335(f66(x99592),x99594))+~P106(f335(f66(x99592),x99595))+E(f335(f335(f86(x99591),f335(f335(f6(x99592,x99591),x99593),x99594)),f335(f335(f6(x99592,x99591),x99593),x99595)),f335(f335(f6(x99592,x99591),x99593),f335(f335(f117(f934(x99592,a922)),x99594),x99595)))+P106(f335(f335(f337(x99592),f422(x99593,x99595,x99594,x99592,x99591)),f335(f335(f108(f934(x99592,a922)),x99594),x99595))) % 209.33/209.64 [9960]~P75(x99601)+~P106(f335(f66(x99602),x99604))+~P106(f335(f66(x99602),x99605))+E(f335(f335(f86(x99601),f335(f335(f6(x99602,x99601),x99603),x99604)),f335(f335(f6(x99602,x99601),x99603),x99605)),f335(f335(f6(x99602,x99601),x99603),f335(f335(f117(f934(x99602,a922)),x99604),x99605)))+P106(f335(f335(f337(x99602),f423(x99603,x99605,x99604,x99602,x99601)),f335(f335(f108(f934(x99602,a922)),x99604),x99605))) % 209.33/209.64 [9961]~P71(x99611)+~P106(f335(f66(x99612),x99614))+~P106(f335(f66(x99612),x99615))+E(f335(f335(f87(x99611),f335(f335(f9(x99612,x99611),x99613),x99614)),f335(f335(f9(x99612,x99611),x99613),x99615)),f335(f335(f9(x99612,x99611),x99613),f335(f335(f117(f934(x99612,a922)),x99614),x99615)))+P106(f335(f335(f337(x99612),f483(x99613,x99615,x99614,x99612,x99611)),f335(f335(f108(f934(x99612,a922)),x99614),x99615))) % 209.33/209.64 [9962]~P71(x99621)+~P106(f335(f66(x99622),x99624))+~P106(f335(f66(x99622),x99625))+E(f335(f335(f87(x99621),f335(f335(f9(x99622,x99621),x99623),x99624)),f335(f335(f9(x99622,x99621),x99623),x99625)),f335(f335(f9(x99622,x99621),x99623),f335(f335(f117(f934(x99622,a922)),x99624),x99625)))+P106(f335(f335(f337(x99622),f484(x99623,x99625,x99624,x99622,x99621)),f335(f335(f108(f934(x99622,a922)),x99624),x99625))) % 209.33/209.64 [9968]~P87(x99685)+~P106(f335(f66(x99681),x99684))+P106(f335(f335(f243(x99685),f335(f335(f6(x99681,x99685),x99682),x99683)),f335(f335(f6(x99681,x99685),x99682),x99684)))+~P106(f335(f335(f243(f934(x99681,a922)),x99683),x99684))+P106(f335(f335(f337(x99681),f412(x99682,x99683,x99684,x99681,x99685)),f335(f335(f23(f934(x99681,a922)),x99684),x99683))) % 209.33/209.64 [10012]~P71(x100121)+~P106(f335(f66(x100122),x100124))+~P106(f335(f66(x100122),x100125))+E(f335(f335(f87(x100121),f335(f335(f335(f70(x100121,x100122,f87(x100121)),x100123),f84(x100121)),x100124)),f335(f335(f335(f70(x100121,x100122,f87(x100121)),x100123),f84(x100121)),x100125)),f335(f335(f335(f70(x100121,x100122,f87(x100121)),x100123),f84(x100121)),f335(f335(f117(f934(x100122,a922)),x100124),x100125)))+P106(f335(f335(f337(x100122),f384(x100123,x100125,x100124,x100122,x100121)),f335(f335(f108(f934(x100122,a922)),x100124),x100125))) % 209.33/209.64 [8976]~P18(x89761,x89764,x89765)+~P106(f335(f66(x89761),x89762))+E(f335(f335(f23(f934(x89761,a922)),x89762),f335(f335(f317(x89761),x89763),f195(f934(x89761,a922)))),f195(f934(x89761,a922)))+~P106(f335(f335(f337(x89761),x89763),x89762))+E(f335(f335(x89764,x89763),f335(x89765,f335(f335(f23(f934(x89761,a922)),x89762),f335(f335(f317(x89761),x89763),f195(f934(x89761,a922)))))),f335(x89765,x89762)) % 209.33/209.64 [9054]~P18(x90541,x90544,x90545)+~P106(f335(f66(x90541),x90543))+~P106(f335(f66(x90541),x90542))+E(f335(f335(f108(f934(x90541,a922)),x90542),x90543),f195(f934(x90541,a922)))+E(f335(f335(x90544,f335(x90545,f335(f335(f117(f934(x90541,a922)),x90542),x90543))),f335(x90545,f335(f335(f108(f934(x90541,a922)),x90542),x90543))),f335(f335(x90544,f335(x90545,x90542)),f335(x90545,x90543))) % 209.33/209.64 [9618]~P106(f335(f335(f243(a1),x96184),f2(a1)))+~P106(f335(f335(f244(a1),x96183),x96185))+P106(f335(f335(f243(a1),x96181),x96182))+~P106(f335(f335(f244(a1),x96183),x96184))+~P106(f335(f335(f243(a1),f335(f335(f86(a1),f335(f335(f87(a1),x96183),x96182)),x96185)),f335(f335(f86(a1),f335(f335(f87(a1),x96183),x96181)),x96184))) % 209.33/209.64 [9620]~P106(f335(f335(f243(a1),f2(a1)),x96205))+P106(f335(f335(f243(a1),x96201),x96202))+~P106(f335(f335(f244(a1),x96203),x96204))+~P106(f335(f335(f244(a1),x96205),x96204))+~P106(f335(f335(f243(a1),f335(f335(f86(a1),f335(f335(f87(a1),x96204),x96201)),x96205)),f335(f335(f86(a1),f335(f335(f87(a1),x96204),x96202)),x96203))) % 209.33/209.64 [9735]~P66(x97355)+E(f335(x97351,f486(x97351,x97352,x97353,x97354,x97355)),f2(x97355))+~P106(f335(f66(x97354),x97353))+~P106(f335(f66(x97354),x97352))+E(f335(f335(f299(x97355),f335(f335(f87(x97355),f335(f335(f9(x97354,x97355),x97351),x97353)),f335(f335(f9(x97354,x97355),x97351),x97352))),f335(f335(f9(x97354,x97355),x97351),f335(f335(f108(f934(x97354,a922)),x97353),x97352))),f335(f335(f9(x97354,x97355),x97351),f335(f335(f117(f934(x97354,a922)),x97353),x97352))) % 209.33/209.64 [10004]~P66(x100041)+~P106(f335(f66(x100042),x100044))+~P106(f335(f66(x100042),x100045))+E(f335(f335(f299(x100041),f335(f335(f87(x100041),f335(f335(f9(x100042,x100041),x100043),x100044)),f335(f335(f9(x100042,x100041),x100043),x100045))),f335(f335(f9(x100042,x100041),x100043),f335(f335(f108(f934(x100042,a922)),x100044),x100045))),f335(f335(f9(x100042,x100041),x100043),f335(f335(f117(f934(x100042,a922)),x100044),x100045)))+P106(f335(f335(f337(x100042),f486(x100043,x100045,x100044,x100042,x100041)),f335(f335(f108(f934(x100042,a922)),x100044),x100045))) % 209.33/209.64 [9332]E(f335(f335(f141(x93321),x93322),x93323),f335(f335(f141(x93321),x93324),x93325))+~E(f335(f335(f182(x93321),f335(f196(f928(x93321)),x93324)),x93322),x93324)+~E(f335(f335(f182(x93321),f335(f196(f928(x93321)),x93322)),x93324),x93322)+~E(x93325,f335(f335(f141(x93321),f335(f335(f145(x93321),f335(f196(f928(x93321)),x93324)),x93322)),x93323))+~E(f335(f335(f141(x93321),f335(f335(f145(x93321),f335(f196(f928(x93321)),x93322)),x93324)),x93325),x93323) % 209.33/209.64 [9733]~P108(x97332)+E(f335(f335(f155(x97331,x97332,x97333),x97334),f177(x97331,x97334,x97335)),x97335)+~P13(x97332,f335(f335(f161(x97331,x97332),x97333),x97335))+~P106(f335(f335(f337(x97331),x97334),f335(f179(x97331),x97335)))+~E(f335(f148(x97331),f335(f143(x97331,f335(f335(f8(x97332,a922,x97331),f335(a332,f335(x97333,x97334))),x97333)),x97335)),x97334) % 209.33/209.64 [10069]~P69(x100691)+~P106(f335(f71(x100691,x100691,f87(x100691),x100692,x100693),x100695))+~P106(f335(f335(f337(x100691),x100694),x100693))+P106(f335(f335(f337(x100691),x100692),x100693))+P106(f335(f71(x100691,x100691,f87(x100691),x100694,f335(f335(f317(x100691),x100692),f335(f335(f23(f934(x100691,a922)),x100693),f335(f335(f317(x100691),x100694),f195(f934(x100691,a922)))))),x100695)) % 209.33/209.64 [7485]E(x74851,x74852)+~P25(x74854,x74855,x74853,x74856)+~E(f335(x74853,x74851),f335(x74853,x74852))+~P106(f335(f335(f337(x74854),x74852),x74856))+~P106(f335(f335(f337(x74854),x74851),x74856)) % 209.33/209.64 [6747]~P143(x67474)+E(x67471,x67472)+~E(x67475,x67476)+E(x67473,f2(x67474))+~E(f335(f335(f86(x67474),x67475),f335(f335(f87(x67474),x67473),x67471)),f335(f335(f86(x67474),x67476),f335(f335(f87(x67474),x67473),x67472))) % 209.33/209.64 [7768]~P108(x77681)+~P5(x77681)+~P106(f335(f335(f244(x77681),x77682),f335(x77685,x77686)))+~P106(f335(f335(f337(x77683),x77686),x77684))+P106(f335(f335(f244(x77681),x77682),f335(f335(f44(x77683,x77681),x77684),x77685))) % 209.33/209.64 [10065]~P25(x100652,x100651,x100653,x100654)+~P25(x100651,x100652,x100656,x100655)+P26(x100651,x100652,f564(x100653,x100654,x100655,x100656,x100652,x100651),x100655,x100654)+~P106(f335(f335(f243(f934(x100652,a922)),f335(f318(x100651,x100652,x100656),x100655)),x100654))+~P106(f335(f335(f243(f934(x100651,a922)),f335(f318(x100652,x100651,x100653),x100654)),x100655)) % 209.33/209.64 [8436]~P108(x84361)+~P5(x84361)+~P106(f335(f335(f244(x84361),f335(x84364,x84366)),x84365))+~P106(f335(f335(f337(x84362),x84366),x84363))+P106(f335(f335(f244(x84361),f335(f335(f45(x84362,x84361),x84363),x84364)),x84365)) % 209.33/209.64 [8690]~P19(x86902,x86905,x86906,x86901)+~P106(f335(f66(x86902),x86904))+~P106(f335(f66(x86902),x86903))+~E(f335(f335(f108(f934(x86902,a922)),x86903),x86904),f195(f934(x86902,a922)))+E(f335(x86901,f335(f335(f117(f934(x86902,a922)),x86903),x86904)),f335(f78(x86905,x86905,x86905,f335(x86901,x86903)),f335(x86901,x86904))) % 209.33/209.64 [10281]~P71(x102811)+~E(f836(x102814,x102815,x102813,x102816,x102812,x102811),f837(x102814,x102815,x102813,x102816,x102812,x102811))+~P106(f335(f66(x102812),x102816))+E(f335(f335(f335(f70(x102811,x102812,f87(x102811)),f335(f335(f8(f934(x102813,a922),x102811,x102812),f335(f335(f70(x102811,x102813,f87(x102811)),x102814),f84(x102811))),x102815)),f84(x102811)),x102816),f335(f335(f335(f70(x102811,x102813,f87(x102811)),x102814),f84(x102811)),f335(f335(f44(x102812,f934(x102813,a922)),x102816),x102815)))+P106(f335(f335(f337(x102812),f834(x102814,x102815,x102813,x102816,x102812,x102811)),x102816)) % 209.33/209.64 [10311]~P71(x103111)+~E(f836(x103114,x103115,x103113,x103116,x103112,x103111),f837(x103114,x103115,x103113,x103116,x103112,x103111))+~P106(f335(f66(x103112),x103116))+E(f335(f335(f335(f70(x103111,x103112,f87(x103111)),f335(f335(f8(f934(x103113,a922),x103111,x103112),f335(f335(f70(x103111,x103113,f87(x103111)),x103114),f84(x103111))),x103115)),f84(x103111)),x103116),f335(f335(f335(f70(x103111,x103113,f87(x103111)),x103114),f84(x103111)),f335(f335(f44(x103112,f934(x103113,a922)),x103116),x103115)))+~P106(f335(f66(x103113),f335(x103115,f834(x103114,x103115,x103113,x103116,x103112,x103111)))) % 209.33/209.64 [10314]~P71(x103141)+~P106(f335(f66(x103142),x103146))+E(f335(f335(f335(f70(x103141,x103142,f87(x103141)),f335(f335(f8(f934(x103143,a922),x103141,x103142),f335(f335(f70(x103141,x103143,f87(x103141)),x103144),f84(x103141))),x103145)),f84(x103141)),x103146),f335(f335(f335(f70(x103141,x103143,f87(x103141)),x103144),f84(x103141)),f335(f335(f44(x103142,f934(x103143,a922)),x103146),x103145)))+P106(f335(f335(f337(x103142),f834(x103144,x103145,x103143,x103146,x103142,x103141)),x103146))+P106(f335(f335(f337(x103142),f837(x103144,x103145,x103143,x103146,x103142,x103141)),x103146)) % 209.33/209.64 [10315]~P71(x103151)+~P106(f335(f66(x103152),x103156))+E(f335(f335(f335(f70(x103151,x103152,f87(x103151)),f335(f335(f8(f934(x103153,a922),x103151,x103152),f335(f335(f70(x103151,x103153,f87(x103151)),x103154),f84(x103151))),x103155)),f84(x103151)),x103156),f335(f335(f335(f70(x103151,x103153,f87(x103151)),x103154),f84(x103151)),f335(f335(f44(x103152,f934(x103153,a922)),x103156),x103155)))+P106(f335(f335(f337(x103152),f834(x103154,x103155,x103153,x103156,x103152,x103151)),x103156))+P106(f335(f335(f337(x103152),f836(x103154,x103155,x103153,x103156,x103152,x103151)),x103156)) % 209.33/209.64 [10334]~P71(x103341)+~P106(f335(f66(x103342),x103346))+E(f335(f335(f335(f70(x103341,x103342,f87(x103341)),f335(f335(f8(f934(x103343,a922),x103341,x103342),f335(f335(f70(x103341,x103343,f87(x103341)),x103344),f84(x103341))),x103345)),f84(x103341)),x103346),f335(f335(f335(f70(x103341,x103343,f87(x103341)),x103344),f84(x103341)),f335(f335(f44(x103342,f934(x103343,a922)),x103346),x103345)))+P106(f335(f335(f337(x103342),f837(x103344,x103345,x103343,x103346,x103342,x103341)),x103346))+~P106(f335(f66(x103343),f335(x103345,f834(x103344,x103345,x103343,x103346,x103342,x103341)))) % 209.33/209.64 [10335]~P71(x103351)+~P106(f335(f66(x103352),x103356))+E(f335(f335(f335(f70(x103351,x103352,f87(x103351)),f335(f335(f8(f934(x103353,a922),x103351,x103352),f335(f335(f70(x103351,x103353,f87(x103351)),x103354),f84(x103351))),x103355)),f84(x103351)),x103356),f335(f335(f335(f70(x103351,x103353,f87(x103351)),x103354),f84(x103351)),f335(f335(f44(x103352,f934(x103353,a922)),x103356),x103355)))+P106(f335(f335(f337(x103352),f836(x103354,x103355,x103353,x103356,x103352,x103351)),x103356))+~P106(f335(f66(x103353),f335(x103355,f834(x103354,x103355,x103353,x103356,x103352,x103351)))) % 209.33/209.64 [10346]~P71(x103461)+~E(f335(f335(f108(f934(x103463,a922)),f335(x103465,f837(x103464,x103465,x103463,x103466,x103462,x103461))),f335(x103465,f836(x103464,x103465,x103463,x103466,x103462,x103461))),f195(f934(x103463,a922)))+~P106(f335(f66(x103462),x103466))+E(f335(f335(f335(f70(x103461,x103462,f87(x103461)),f335(f335(f8(f934(x103463,a922),x103461,x103462),f335(f335(f70(x103461,x103463,f87(x103461)),x103464),f84(x103461))),x103465)),f84(x103461)),x103466),f335(f335(f335(f70(x103461,x103463,f87(x103461)),x103464),f84(x103461)),f335(f335(f44(x103462,f934(x103463,a922)),x103466),x103465)))+P106(f335(f335(f337(x103462),f834(x103464,x103465,x103463,x103466,x103462,x103461)),x103466)) % 209.33/209.64 [10357]~P71(x103571)+~E(f335(f335(f108(f934(x103573,a922)),f335(x103575,f837(x103574,x103575,x103573,x103576,x103572,x103571))),f335(x103575,f836(x103574,x103575,x103573,x103576,x103572,x103571))),f195(f934(x103573,a922)))+~P106(f335(f66(x103572),x103576))+E(f335(f335(f335(f70(x103571,x103572,f87(x103571)),f335(f335(f8(f934(x103573,a922),x103571,x103572),f335(f335(f70(x103571,x103573,f87(x103571)),x103574),f84(x103571))),x103575)),f84(x103571)),x103576),f335(f335(f335(f70(x103571,x103573,f87(x103571)),x103574),f84(x103571)),f335(f335(f44(x103572,f934(x103573,a922)),x103576),x103575)))+~P106(f335(f66(x103573),f335(x103575,f834(x103574,x103575,x103573,x103576,x103572,x103571)))) % 209.33/209.64 [9024]E(x90241,x90242)+~P57(x90244,x90245,x90246,x90243,x90247)+~E(f335(x90243,x90241),f335(x90243,x90242))+~P106(f335(f335(f337(x90245),x90242),x90247))+~P106(f335(f335(f337(x90245),x90241),x90247)) % 209.33/209.64 [10324]~P106(f335(x103242,x103244))+~E(x103245,f335(f143(x103241,x103242),x103247))+E(f335(f143(x103241,x103242),x103243),f335(f335(f158(x103241),x103244),x103245))+~E(x103243,f335(f335(f141(x103241),x103246),f335(f335(f158(x103241),x103244),x103247)))+P106(f335(x103242,f770(x103245,x103244,x103243,x103242,x103241,x103246,x103247))) % 209.33/209.64 [10325]~P106(f335(x103254,x103252))+~E(x103253,f335(f143(x103251,x103254),x103257))+E(f335(f335(f158(x103251),x103252),x103253),f335(f143(x103251,x103254),x103255))+~E(x103255,f335(f335(f141(x103251),x103256),f335(f335(f158(x103251),x103252),x103257)))+P106(f335(x103254,f771(x103255,x103254,x103253,x103252,x103251,x103256,x103257))) % 209.33/209.64 [10370]~P106(f335(x103702,x103704))+~E(x103705,f335(f143(x103701,x103702),x103707))+E(f335(f143(x103701,x103702),x103703),f335(f335(f158(x103701),x103704),x103705))+~E(x103703,f335(f335(f141(x103701),x103706),f335(f335(f158(x103701),x103704),x103707)))+P106(f335(f335(f337(x103701),f770(x103705,x103704,x103703,x103702,x103701,x103706,x103707)),f335(f179(x103701),x103706))) % 209.33/209.64 [10371]~P106(f335(x103714,x103712))+~E(x103713,f335(f143(x103711,x103714),x103717))+E(f335(f335(f158(x103711),x103712),x103713),f335(f143(x103711,x103714),x103715))+~E(x103715,f335(f335(f141(x103711),x103716),f335(f335(f158(x103711),x103712),x103717)))+P106(f335(f335(f337(x103711),f771(x103715,x103714,x103713,x103712,x103711,x103716,x103717)),f335(f179(x103711),x103716))) % 209.33/209.64 [10375]~P8(x103751,x103757,x103756)+~P11(x103751,f934(x103755,a922),x103756,x103754)+P106(f335(f335(f337(x103751),f755(x103752,x103753,x103754,x103755,x103756,x103757,x103751)),x103757))+~P106(f335(f335(f337(f934(x103751,a922)),x103753),f335(f335(f65(x103751),x103757),x103756)))+P106(f335(f335(f337(f934(x103755,a922)),f335(f335(f44(x103751,f934(x103755,a922)),x103753),x103754)),x103752)) % 209.33/209.64 [10435]~P8(x104352,x104356,x104357)+~P11(x104352,f934(x104351,a922),x104357,x104354)+~P106(f335(f335(f337(f934(x104352,a922)),x104353),f335(f335(f65(x104352),x104356),x104357)))+~P106(f335(f335(f337(f934(x104351,a922)),f335(x104354,f755(x104355,x104353,x104354,x104351,x104357,x104356,x104352))),x104355))+P106(f335(f335(f337(f934(x104351,a922)),f335(f335(f44(x104352,f934(x104351,a922)),x104353),x104354)),x104355)) % 209.33/209.64 [8610]~P71(x86102)+~P25(x86101,x86105,x86108,x86104)+~E(x86103,f335(f78(x86105,x86102,x86101,x86106),x86108))+~E(x86107,f335(f318(x86101,x86105,x86108),x86104))+E(f335(f335(f9(x86101,x86102),x86103),x86104),f335(f335(f9(x86105,x86102),x86106),x86107)) % 209.33/209.64 [10439]~P71(x104392)+~P25(x104395,x104391,x104398,x104397)+~E(f335(x104396,f540(x104393,x104396,x104394,x104397,x104398,x104391,x104395,x104392)),f335(f335(f78(x104391,x104392,x104395,x104393),x104398),f540(x104393,x104396,x104394,x104397,x104398,x104391,x104395,x104392)))+~E(x104394,f335(f318(x104395,x104391,x104398),x104397))+E(f335(f335(f9(x104391,x104392),x104393),x104394),f335(f335(f9(x104395,x104392),x104396),x104397)) % 209.33/209.64 [10442]~P75(x104422)+~P25(x104421,x104425,x104428,x104424)+~E(x104427,f335(f318(x104421,x104425,x104428),x104424))+E(f335(f335(f6(x104421,x104422),x104423),x104424),f335(f335(f6(x104425,x104422),x104426),x104427))+P106(f335(f335(f337(x104421),f644(x104426,x104423,x104427,x104424,x104428,x104425,x104421,x104422)),x104424)) % 209.33/209.64 [10443]~P71(x104432)+~P25(x104431,x104435,x104438,x104434)+~E(x104437,f335(f318(x104431,x104435,x104438),x104434))+E(f335(f335(f9(x104431,x104432),x104433),x104434),f335(f335(f9(x104435,x104432),x104436),x104437))+P106(f335(f335(f337(x104431),f540(x104436,x104433,x104437,x104434,x104438,x104435,x104431,x104432)),x104434)) % 209.33/209.64 [10448]~P75(x104482)+~P25(x104485,x104481,x104488,x104487)+~E(x104484,f335(f318(x104485,x104481,x104488),x104487))+~E(f335(x104486,f644(x104483,x104486,x104484,x104487,x104488,x104481,x104485,x104482)),f335(x104483,f335(x104488,f644(x104483,x104486,x104484,x104487,x104488,x104481,x104485,x104482))))+E(f335(f335(f6(x104481,x104482),x104483),x104484),f335(f335(f6(x104485,x104482),x104486),x104487)) % 209.33/209.64 [9900]~P23(x99006,x99002,x99005,x99007,x99008,x99001)+~P106(f335(f66(x99002),x99004))+~P106(f335(f66(x99002),x99003))+~E(f335(f335(f108(f934(x99002,a922)),x99003),x99004),f195(f934(x99002,a922)))+E(f335(x99001,f335(f335(f117(f934(x99002,a922)),x99003),x99004)),f335(f335(x99005,f335(x99001,x99003)),f335(x99001,x99004))) % 209.33/209.64 [10308]~P23(x103088,x103082,x103085,x103087,x103086,x103081)+~E(f335(x103086,f572(x103084,x103083,x103081,x103086,x103087,x103085,x103082)),x103087)+~P106(f335(f66(x103082),x103083))+~P106(f335(f66(x103082),x103084))+E(f335(x103081,f335(f335(f117(f934(x103082,a922)),x103083),x103084)),f335(f335(x103085,f335(x103081,x103083)),f335(x103081,x103084))) % 209.33/209.64 [10382]~P23(x103828,x103822,x103825,x103827,x103826,x103821)+~P106(f335(f66(x103822),x103823))+~P106(f335(f66(x103822),x103824))+E(f335(x103821,f335(f335(f117(f934(x103822,a922)),x103823),x103824)),f335(f335(x103825,f335(x103821,x103823)),f335(x103821,x103824)))+P106(f335(f335(f337(x103822),f572(x103824,x103823,x103821,x103826,x103827,x103825,x103822)),f335(f335(f108(f934(x103822,a922)),x103823),x103824))) % 209.33/209.64 [10056]~P8(x100564,x100568,x100565)+~P8(x100561,x100569,x100563)+~P12(x100561,x100564,f934(x100562,a922),x100563,x100565,x100567)+P11(x100561,f934(x100562,a922),x100563,f335(f335(f8(f934(x100564,f934(x100562,a922)),f934(x100562,a922),x100561),f335(f44(x100564,f934(x100562,a922)),f335(f293(x100564,x100564,x100565),f335(f335(f317(x100564),x100566),f195(f934(x100564,a922)))))),x100567))+~P106(f335(f335(f337(x100564),x100566),x100568)) % 209.33/209.64 [5664]~P108(x56643)+~P13(x56643,x56641)+E(x56641,f748(x56642,x56643))+~E(f335(f179(x56643),x56641),x56642)+~P106(f335(f66(x56643),x56642))+~P106(f335(f144(x56643),x56641)) % 209.33/209.64 [7476]P15(x74761,x74762)+~E(f335(x74762,f831(x74762)),f335(x74762,f832(x74762)))+~P106(f335(f335(x74762,f831(x74762)),f831(x74762)))+~P106(f335(f335(x74762,f831(x74762)),f832(x74762)))+~P106(f335(f335(x74762,f832(x74762)),f832(x74762)))+~P106(f335(f335(x74762,x74763),x74763)) % 209.33/209.64 [5289]~P129(x52892)+~P134(x52892)+~P144(x52892)+~P115(x52892)+E(x52891,f2(x52892))+~E(f335(f335(f252(x52892),x52891),x52893),f2(x52892)) % 209.33/209.64 [5290]~P129(x52902)+~P134(x52902)+~P144(x52902)+~P115(x52902)+~E(x52901,f2(a927))+~E(f335(f335(f252(x52902),x52903),x52901),f2(x52902)) % 209.33/209.64 [6729]~P87(x67291)+~E(x67293,f2(x67291))+~E(x67292,f2(x67291))+E(f335(f335(f86(x67291),x67292),x67293),f2(x67291))+~P106(f335(f335(f243(x67291),f2(x67291)),x67293))+~P106(f335(f335(f243(x67291),f2(x67291)),x67292)) % 209.33/209.64 [9092]~E(f335(f259(a927,a927),x90923),f2(a927))+~E(x90921,f335(f335(f86(a927),f335(f335(f87(a927),f335(f259(a927,a927),x90923)),x90922)),f335(f264(a927,a927),x90923)))+P106(f335(f53(x90921,x90922),x90923))+~P106(f335(f335(f243(a927),f335(f264(a927,a927),x90923)),f2(a927)))+P106(f335(f335(f244(a927),f2(a927)),x90922))+~P106(f335(f335(f244(a927),x90922),f335(f264(a927,a927),x90923))) % 209.33/209.64 [9100]E(x91001,f2(a927))+~E(x91002,f335(f335(f86(a927),f335(f335(f87(a927),f335(f259(a927,a927),x91003)),x91001)),f335(f264(a927,a927),x91003)))+P106(f335(f53(x91002,x91001),x91003))+~P106(f335(f335(f244(a927),f2(a927)),x91001))+~P106(f335(f335(f243(a927),f2(a927)),f335(f264(a927,a927),x91003)))+~P106(f335(f335(f244(a927),f335(f264(a927,a927),x91003)),x91001)) % 209.33/209.64 [9118]~E(f335(f259(a927,a927),x91183),f2(a927))+~E(x91181,f335(f335(f86(a927),f335(f335(f87(a927),f335(f259(a927,a927),x91183)),x91182)),f335(f264(a927,a927),x91183)))+P106(f335(f53(x91181,x91182),x91183))+~P106(f335(f335(f244(a927),f2(a927)),x91182))+~P106(f335(f335(f243(a927),f2(a927)),f335(f264(a927,a927),x91183)))+~P106(f335(f335(f244(a927),f335(f264(a927,a927),x91183)),x91182)) % 209.33/209.64 [7108]~P96(x71082)+E(x71081,f195(f934(x71082,a922)))+E(x71083,f195(f934(x71082,a922)))+~P106(f335(f66(x71082),x71081))+~P106(f335(f66(x71082),x71083))+E(f13(x71082,f335(f335(f117(f934(x71082,a922)),x71083),x71081)),f335(f335(f117(x71082),f13(x71082,x71083)),f13(x71082,x71081))) % 209.33/209.64 [7109]~P96(x71092)+E(x71091,f195(f934(x71092,a922)))+E(x71093,f195(f934(x71092,a922)))+~P106(f335(f66(x71092),x71091))+~P106(f335(f66(x71092),x71093))+E(f10(x71092,f335(f335(f117(f934(x71092,a922)),x71093),x71091)),f335(f335(f108(x71092),f10(x71092,x71093)),f10(x71092,x71091))) % 209.33/209.64 [7110]~P108(x71102)+E(x71101,f195(f934(x71102,a922)))+E(x71103,f195(f934(x71102,a922)))+~P106(f335(f66(x71102),x71101))+~P106(f335(f66(x71102),x71103))+E(f14(x71102,f335(f335(f117(f934(x71102,a922)),x71103),x71101)),f335(f335(f241(x71102),f14(x71102,x71103)),f14(x71102,x71101))) % 209.33/209.64 [7111]~P108(x71112)+E(x71111,f195(f934(x71112,a922)))+E(x71113,f195(f934(x71112,a922)))+~P106(f335(f66(x71112),x71111))+~P106(f335(f66(x71112),x71113))+E(f15(x71112,f335(f335(f117(f934(x71112,a922)),x71113),x71111)),f335(f335(f242(x71112),f15(x71112,x71113)),f15(x71112,x71111))) % 209.33/209.64 [7745]~P95(x77452)+E(x77451,f195(f934(x77452,a922)))+E(x77453,f195(f934(x77452,a922)))+~P106(f335(f66(x77452),x77451))+~P106(f335(f66(x77452),x77453))+E(f335(f335(f87(x77452),f335(f68(x77452,f87(x77452)),x77453)),f335(f68(x77452,f87(x77452)),x77451)),f335(f68(x77452,f87(x77452)),f335(f335(f117(f934(x77452,a922)),x77453),x77451))) % 209.33/209.64 [7901]~P108(x79012)+E(x79011,f195(f934(x79012,a922)))+E(x79013,f195(f934(x79012,a922)))+~P106(f335(f66(x79012),x79011))+~P106(f335(f66(x79012),x79013))+E(f335(f335(f241(x79012),f11(x79012,f241(x79012),x79013)),f11(x79012,f241(x79012),x79011)),f11(x79012,f241(x79012),f335(f335(f117(f934(x79012,a922)),x79013),x79011))) % 209.33/209.64 [7902]~P108(x79022)+E(x79021,f195(f934(x79022,a922)))+E(x79023,f195(f934(x79022,a922)))+~P106(f335(f66(x79022),x79021))+~P106(f335(f66(x79022),x79023))+E(f335(f335(f242(x79022),f12(x79022,f242(x79022),x79023)),f12(x79022,f242(x79022),x79021)),f12(x79022,f242(x79022),f335(f335(f117(f934(x79022,a922)),x79023),x79021))) % 209.33/209.64 [8925]~P106(f335(x89251,x89253))+P106(f335(x89251,f531(x89251,x89252)))+P106(f335(x89251,f516(x89251,x89252)))+~P106(f335(f335(f244(a1),f2(a1)),x89252))+~P106(f335(f335(f337(a1),x89253),f311(a1,f84(a1),x89252)))+P106(f335(x89251,f335(f335(f23(a1),f516(x89251,x89252)),f335(f335(f87(a1),f529(x89251,x89252)),x89252)))) % 209.33/209.64 [9230]~P106(f335(x92301,x92303))+~P106(f335(x92301,f516(x92301,x92302)))+P106(f335(x92301,f531(x92301,x92302)))+~P106(f335(f335(f244(a1),f2(a1)),x92302))+~P106(f335(f335(f337(a1),x92303),f311(a1,f84(a1),x92302)))+~P106(f335(x92301,f335(f335(f23(a1),f516(x92301,x92302)),f335(f335(f87(a1),f529(x92301,x92302)),x92302)))) % 209.33/209.64 [10475]~P100(x104752)+E(x104751,f195(f934(x104752,a922)))+E(x104753,f195(f934(x104752,a922)))+~P106(f335(f66(x104752),x104751))+~P106(f335(f66(x104752),x104753))+E(f13(x104752,f335(f270(x104752),f335(f335(f8(f934(x104752,a922),a922,x104752),f93(x104752)),f335(f335(f8(f934(x104752,f934(x104752,a922)),f934(x104752,a922),x104752),f335(f8(f934(x104752,a922),a922,x104752),f93(x104752))),f335(f335(f7(x104752,f934(x104752,f934(x104752,a922)),f934(x104752,f934(x104752,a922))),f335(f335(f8(f934(x104752,f934(f934(x104752,a922),f934(x104752,a922))),f934(f934(x104752,f934(x104752,a922)),f934(x104752,f934(x104752,a922))),x104752),f18(x104752,f934(x104752,a922),f934(x104752,a922))),f335(f335(f8(f934(x104752,f934(x104752,f934(a922,a922))),f934(x104752,f934(f934(x104752,a922),f934(x104752,a922))),x104752),f335(f8(f934(x104752,f934(a922,a922)),f934(f934(x104752,a922),f934(x104752,a922)),x104752),f18(x104752,a922,a922))),f335(f335(f8(f934(x104752,f934(x104752,a922)),f934(x104752,f934(x104752,f934(a922,a922))),x104752),f335(f8(f934(x104752,a922),f934(x104752,f934(a922,a922)),x104752),f335(f8(a922,f934(a922,a922),x104752),a333))),f335(f335(f7(x104752,f934(x104752,f934(x104752,x104752)),f934(x104752,f934(x104752,a922))),f335(f335(f8(f934(f934(x104752,x104752),f934(x104752,a922)),f934(f934(x104752,f934(x104752,x104752)),f934(x104752,f934(x104752,a922))),x104752),f8(f934(x104752,x104752),f934(x104752,a922),x104752)),f335(f335(f8(f934(x104752,a922),f934(f934(x104752,x104752),f934(x104752,a922)),x104752),f8(x104752,a922,x104752)),a332))),f108(x104752)))))),f335(f335(f7(x104752,f934(x104752,a922),f934(x104752,a922)),f335(f335(f8(f934(a922,a922),f934(f934(x104752,a922),f934(x104752,a922)),x104752),f8(a922,a922,x104752)),f335(f335(f8(a922,f934(a922,a922),x104752),a333),f335(f335(f7(x104752,f934(x104752,a922),a922),f337(x104752)),x104753)))),f335(f335(f7(x104752,f934(x104752,a922),a922),f337(x104752)),x104751))))))),f335(f335(f108(x104752),f13(x104752,x104753)),f13(x104752,x104751))) % 209.33/209.64 [10476]~P100(x104762)+E(x104761,f195(f934(x104762,a922)))+E(x104763,f195(f934(x104762,a922)))+~P106(f335(f66(x104762),x104761))+~P106(f335(f66(x104762),x104763))+E(f10(x104762,f335(f270(x104762),f335(f335(f8(f934(x104762,a922),a922,x104762),f93(x104762)),f335(f335(f8(f934(x104762,f934(x104762,a922)),f934(x104762,a922),x104762),f335(f8(f934(x104762,a922),a922,x104762),f93(x104762))),f335(f335(f7(x104762,f934(x104762,f934(x104762,a922)),f934(x104762,f934(x104762,a922))),f335(f335(f8(f934(x104762,f934(f934(x104762,a922),f934(x104762,a922))),f934(f934(x104762,f934(x104762,a922)),f934(x104762,f934(x104762,a922))),x104762),f18(x104762,f934(x104762,a922),f934(x104762,a922))),f335(f335(f8(f934(x104762,f934(x104762,f934(a922,a922))),f934(x104762,f934(f934(x104762,a922),f934(x104762,a922))),x104762),f335(f8(f934(x104762,f934(a922,a922)),f934(f934(x104762,a922),f934(x104762,a922)),x104762),f18(x104762,a922,a922))),f335(f335(f8(f934(x104762,f934(x104762,a922)),f934(x104762,f934(x104762,f934(a922,a922))),x104762),f335(f8(f934(x104762,a922),f934(x104762,f934(a922,a922)),x104762),f335(f8(a922,f934(a922,a922),x104762),a333))),f335(f335(f7(x104762,f934(x104762,f934(x104762,x104762)),f934(x104762,f934(x104762,a922))),f335(f335(f8(f934(f934(x104762,x104762),f934(x104762,a922)),f934(f934(x104762,f934(x104762,x104762)),f934(x104762,f934(x104762,a922))),x104762),f8(f934(x104762,x104762),f934(x104762,a922),x104762)),f335(f335(f8(f934(x104762,a922),f934(f934(x104762,x104762),f934(x104762,a922)),x104762),f8(x104762,a922,x104762)),a332))),f117(x104762)))))),f335(f335(f7(x104762,f934(x104762,a922),f934(x104762,a922)),f335(f335(f8(f934(a922,a922),f934(f934(x104762,a922),f934(x104762,a922)),x104762),f8(a922,a922,x104762)),f335(f335(f8(a922,f934(a922,a922),x104762),a333),f335(f335(f7(x104762,f934(x104762,a922),a922),f337(x104762)),x104763)))),f335(f335(f7(x104762,f934(x104762,a922),a922),f337(x104762)),x104761))))))),f335(f335(f117(x104762),f10(x104762,x104763)),f10(x104762,x104761))) % 209.33/209.64 [10477]~P108(x104772)+E(x104771,f195(f934(x104772,a922)))+E(x104773,f195(f934(x104772,a922)))+~P106(f335(f66(x104772),x104771))+~P106(f335(f66(x104772),x104773))+E(f12(x104772,f242(x104772),f335(f270(x104772),f335(f335(f8(f934(x104772,a922),a922,x104772),f93(x104772)),f335(f335(f8(f934(x104772,f934(x104772,a922)),f934(x104772,a922),x104772),f335(f8(f934(x104772,a922),a922,x104772),f93(x104772))),f335(f335(f7(x104772,f934(x104772,f934(x104772,a922)),f934(x104772,f934(x104772,a922))),f335(f335(f8(f934(x104772,f934(f934(x104772,a922),f934(x104772,a922))),f934(f934(x104772,f934(x104772,a922)),f934(x104772,f934(x104772,a922))),x104772),f18(x104772,f934(x104772,a922),f934(x104772,a922))),f335(f335(f8(f934(x104772,f934(x104772,f934(a922,a922))),f934(x104772,f934(f934(x104772,a922),f934(x104772,a922))),x104772),f335(f8(f934(x104772,f934(a922,a922)),f934(f934(x104772,a922),f934(x104772,a922)),x104772),f18(x104772,a922,a922))),f335(f335(f8(f934(x104772,f934(x104772,a922)),f934(x104772,f934(x104772,f934(a922,a922))),x104772),f335(f8(f934(x104772,a922),f934(x104772,f934(a922,a922)),x104772),f335(f8(a922,f934(a922,a922),x104772),a333))),f335(f335(f7(x104772,f934(x104772,f934(x104772,x104772)),f934(x104772,f934(x104772,a922))),f335(f335(f8(f934(f934(x104772,x104772),f934(x104772,a922)),f934(f934(x104772,f934(x104772,x104772)),f934(x104772,f934(x104772,a922))),x104772),f8(f934(x104772,x104772),f934(x104772,a922),x104772)),f335(f335(f8(f934(x104772,a922),f934(f934(x104772,x104772),f934(x104772,a922)),x104772),f8(x104772,a922,x104772)),a332))),f241(x104772)))))),f335(f335(f7(x104772,f934(x104772,a922),f934(x104772,a922)),f335(f335(f8(f934(a922,a922),f934(f934(x104772,a922),f934(x104772,a922)),x104772),f8(a922,a922,x104772)),f335(f335(f8(a922,f934(a922,a922),x104772),a333),f335(f335(f7(x104772,f934(x104772,a922),a922),f337(x104772)),x104773)))),f335(f335(f7(x104772,f934(x104772,a922),a922),f337(x104772)),x104771))))))),f335(f335(f241(x104772),f12(x104772,f242(x104772),x104773)),f12(x104772,f242(x104772),x104771))) % 209.33/209.64 [10478]~P108(x104782)+E(x104781,f195(f934(x104782,a922)))+E(x104783,f195(f934(x104782,a922)))+~P106(f335(f66(x104782),x104781))+~P106(f335(f66(x104782),x104783))+E(f11(x104782,f241(x104782),f335(f270(x104782),f335(f335(f8(f934(x104782,a922),a922,x104782),f93(x104782)),f335(f335(f8(f934(x104782,f934(x104782,a922)),f934(x104782,a922),x104782),f335(f8(f934(x104782,a922),a922,x104782),f93(x104782))),f335(f335(f7(x104782,f934(x104782,f934(x104782,a922)),f934(x104782,f934(x104782,a922))),f335(f335(f8(f934(x104782,f934(f934(x104782,a922),f934(x104782,a922))),f934(f934(x104782,f934(x104782,a922)),f934(x104782,f934(x104782,a922))),x104782),f18(x104782,f934(x104782,a922),f934(x104782,a922))),f335(f335(f8(f934(x104782,f934(x104782,f934(a922,a922))),f934(x104782,f934(f934(x104782,a922),f934(x104782,a922))),x104782),f335(f8(f934(x104782,f934(a922,a922)),f934(f934(x104782,a922),f934(x104782,a922)),x104782),f18(x104782,a922,a922))),f335(f335(f8(f934(x104782,f934(x104782,a922)),f934(x104782,f934(x104782,f934(a922,a922))),x104782),f335(f8(f934(x104782,a922),f934(x104782,f934(a922,a922)),x104782),f335(f8(a922,f934(a922,a922),x104782),a333))),f335(f335(f7(x104782,f934(x104782,f934(x104782,x104782)),f934(x104782,f934(x104782,a922))),f335(f335(f8(f934(f934(x104782,x104782),f934(x104782,a922)),f934(f934(x104782,f934(x104782,x104782)),f934(x104782,f934(x104782,a922))),x104782),f8(f934(x104782,x104782),f934(x104782,a922),x104782)),f335(f335(f8(f934(x104782,a922),f934(f934(x104782,x104782),f934(x104782,a922)),x104782),f8(x104782,a922,x104782)),a332))),f242(x104782)))))),f335(f335(f7(x104782,f934(x104782,a922),f934(x104782,a922)),f335(f335(f8(f934(a922,a922),f934(f934(x104782,a922),f934(x104782,a922)),x104782),f8(a922,a922,x104782)),f335(f335(f8(a922,f934(a922,a922),x104782),a333),f335(f335(f7(x104782,f934(x104782,a922),a922),f337(x104782)),x104783)))),f335(f335(f7(x104782,f934(x104782,a922),a922),f337(x104782)),x104781))))))),f335(f335(f242(x104782),f11(x104782,f241(x104782),x104783)),f11(x104782,f241(x104782),x104781))) % 209.33/209.64 [7432]~P125(x74323)+E(x74321,x74322)+~E(f335(f335(f252(x74323),x74321),x74324),f335(f335(f252(x74323),x74322),x74324))+~P106(f335(f335(f243(x74323),f2(x74323)),x74322))+~P106(f335(f335(f243(x74323),f2(x74323)),x74321))+~P106(f335(f335(f244(a927),f2(a927)),x74324)) % 209.33/209.64 [7706]~P108(x77062)+E(x77061,f195(f934(x77062,a922)))+~P106(f335(f66(x77062),x77061))+~P106(f335(f335(f337(x77062),x77064),x77061))+P106(f335(f335(f243(x77062),x77063),x77064))+~P106(f335(f335(f243(x77062),x77063),f335(f68(x77062,f241(x77062)),x77061))) % 209.33/209.64 [7707]~P101(x77072)+E(x77071,f195(f934(x77072,a922)))+~P106(f335(f66(x77072),x77071))+~P106(f335(f335(f337(x77072),x77074),x77071))+P106(f335(f335(f243(x77072),x77073),x77074))+~P106(f335(f335(f243(x77072),x77073),f335(f68(x77072,f108(x77072)),x77071))) % 209.33/209.64 [7708]~P108(x77082)+E(x77081,f195(f934(x77082,a922)))+~P106(f335(f66(x77082),x77081))+~P106(f335(f335(f337(x77082),x77084),x77081))+P106(f335(f335(f244(x77082),x77083),x77084))+~P106(f335(f335(f244(x77082),x77083),f335(f68(x77082,f241(x77082)),x77081))) % 209.33/209.64 [7613]E(x76131,f2(a1))+E(f335(f335(f41(a1),x76132),x76131),x76133)+~P106(f335(f335(f243(a1),x76134),f2(a1)))+~E(x76132,f335(f335(f86(a1),f335(f335(f87(a1),x76131),x76133)),x76134))+P106(f335(f335(f244(a1),f2(a1)),x76131))+~P106(f335(f335(f244(a1),x76131),x76134)) % 209.33/209.64 [7628]E(f50(a1,x76282,x76281),x76283)+E(x76281,f2(a1))+~P106(f335(f335(f243(a1),x76283),f2(a1)))+~E(x76282,f335(f335(f86(a1),f335(f335(f87(a1),x76281),x76284)),x76283))+P106(f335(f335(f244(a1),f2(a1)),x76281))+~P106(f335(f335(f244(a1),x76281),x76283)) % 209.33/209.64 [7744]E(x77441,f2(a1))+E(f335(f335(f41(a1),x77442),x77441),x77443)+~E(x77442,f335(f335(f86(a1),f335(f335(f87(a1),x77441),x77443)),x77444))+~P106(f335(f335(f243(a1),f2(a1)),x77444))+~P106(f335(f335(f244(a1),f2(a1)),x77441))+~P106(f335(f335(f244(a1),x77444),x77441)) % 209.33/209.64 [7764]E(f50(a1,x77642,x77641),x77643)+E(x77641,f2(a1))+~E(x77642,f335(f335(f86(a1),f335(f335(f87(a1),x77641),x77644)),x77643))+~P106(f335(f335(f243(a1),f2(a1)),x77643))+~P106(f335(f335(f244(a1),f2(a1)),x77641))+~P106(f335(f335(f244(a1),x77643),x77641)) % 209.33/209.64 [7905]~P108(x79052)+E(x79051,f195(f934(x79052,a922)))+~P106(f335(f66(x79052),x79051))+~P106(f335(f335(f243(x79052),x79054),x79053))+~P106(f335(f335(f337(x79052),x79054),x79051))+P106(f335(f335(f243(x79052),f335(f68(x79052,f241(x79052)),x79051)),x79053)) % 209.33/209.64 [7906]~P108(x79062)+E(x79061,f195(f934(x79062,a922)))+~P106(f335(f66(x79062),x79061))+~P106(f335(f335(f244(x79062),x79064),x79063))+~P106(f335(f335(f337(x79062),x79064),x79061))+P106(f335(f335(f244(x79062),f335(f68(x79062,f241(x79062)),x79061)),x79063)) % 209.33/209.64 [8461]~P106(f335(f335(f243(a1),x84614),f2(a1)))+~E(x84611,f335(f335(f86(a1),f335(f335(f87(a1),x84612),x84613)),x84614))+~P106(f335(f335(f243(a1),f2(a1)),x84614))+~P106(f335(f335(f244(a1),x84614),x84612))+~P106(f335(f335(f244(a1),x84612),x84614))+P106(f335(f54(x84611,x84612),f335(f335(f260(a1,a1),x84613),x84614))) % 209.33/209.64 [8629]~P110(x86291)+P106(f335(f335(f244(f934(x86291,a922)),f311(x86291,x86292,x86293)),f311(x86291,x86294,x86295)))+~P106(f335(f335(f243(x86291),x86294),x86292))+~P106(f335(f335(f243(x86291),x86294),x86295))+~P106(f335(f335(f243(x86291),x86293),x86295))+~P106(f335(f335(f244(x86291),x86293),x86295)) % 209.33/209.64 [8630]~P110(x86301)+P106(f335(f335(f244(f934(x86301,a922)),f311(x86301,x86302,x86303)),f311(x86301,x86304,x86305)))+~P106(f335(f335(f243(x86301),x86303),x86305))+~P106(f335(f335(f243(x86301),x86304),x86305))+~P106(f335(f335(f243(x86301),x86304),x86302))+~P106(f335(f335(f244(x86301),x86304),x86302)) % 209.33/209.64 [9488]P59(x94882,x94883,x94884,x94881)+E(x94881,f195(f934(x94882,a922)))+~P106(f335(f66(x94882),x94884))+~P106(f335(f66(x94882),x94881))+~P106(f335(f335(x94883,f359(x94881,x94884,x94883,x94882)),x94885))+~P106(f335(f335(f337(x94882),x94885),x94881)) % 209.33/209.64 [9489]P59(x94892,x94893,x94894,x94891)+E(x94891,f195(f934(x94892,a922)))+~P106(f335(f66(x94892),x94894))+~P106(f335(f66(x94892),x94891))+~P106(f335(f335(x94893,f822(x94893,x94891,x94894,x94892)),x94895))+~P106(f335(f335(f337(x94892),x94895),x94891)) % 209.33/209.64 [9490]P59(x94902,x94903,x94904,x94901)+E(x94901,f195(f934(x94902,a922)))+~P106(f335(f66(x94902),x94904))+~P106(f335(f66(x94902),x94901))+~P106(f335(f335(x94903,f823(x94901,x94904,x94903,x94902)),x94905))+~P106(f335(f335(f337(x94902),x94905),x94901)) % 209.33/209.64 [9636]~E(x96363,x96365)+~P71(x96361)+~P75(x96361)+~P40(x96363)+E(f335(f335(f6(a1,x96361),x96362),x96363),f335(f335(f6(a1,x96361),x96364),x96365))+P106(f335(f335(f243(a1),f2(a1)),f556(x96362,x96364,x96363,x96365,x96361))) % 209.33/209.64 [9637]~E(x96373,x96375)+~P71(x96371)+~P75(x96371)+~P40(x96373)+E(f335(f335(f9(a1,x96371),x96372),x96373),f335(f335(f9(a1,x96371),x96374),x96375))+P106(f335(f335(f243(a1),f2(a1)),f554(x96372,x96374,x96373,x96375,x96371))) % 209.33/209.64 [9809]~E(x98095,x98093)+~P71(x98091)+~P75(x98091)+~P40(x98095)+~E(f335(x98092,f556(x98094,x98092,x98095,x98093,x98091)),f335(x98094,f556(x98094,x98092,x98095,x98093,x98091)))+E(f335(f335(f6(a1,x98091),x98092),x98093),f335(f335(f6(a1,x98091),x98094),x98095)) % 209.33/209.64 [9810]~E(x98105,x98103)+~P71(x98101)+~P75(x98101)+~P40(x98105)+~E(f335(x98102,f554(x98104,x98102,x98105,x98103,x98101)),f335(x98104,f554(x98104,x98102,x98105,x98103,x98101)))+E(f335(f335(f9(a1,x98101),x98102),x98103),f335(f335(f9(a1,x98101),x98104),x98105)) % 209.33/209.64 [9898]~P78(x98983)+E(f335(x98981,x98982),f2(x98983))+~E(f335(f335(f6(x98984,x98983),x98981),x98985),f2(x98983))+~P106(f335(f66(x98984),x98985))+P106(f335(f335(f337(x98984),f495(x98982,x98981,x98985,x98984,x98983)),x98985))+~P106(f335(f335(f337(x98984),x98982),x98985)) % 209.33/209.64 [10026]~P78(x100263)+E(f335(x100261,x100262),f2(x100263))+~E(f335(f335(f6(x100264,x100263),x100261),x100265),f2(x100263))+~P106(f335(f66(x100264),x100265))+~P106(f335(f335(f337(x100264),x100262),x100265))+~P106(f335(f335(f243(x100263),f2(x100263)),f335(x100261,f495(x100262,x100261,x100265,x100264,x100263)))) % 209.33/209.64 [8547]~P137(x85471)+~P106(f335(f335(f243(x85471),x85473),x85475))+~P106(f335(f335(f243(x85471),x85472),x85474))+~P106(f335(f335(f243(x85471),f2(x85471)),x85473))+~P106(f335(f335(f243(x85471),f2(x85471)),x85474))+P106(f335(f335(f243(x85471),f335(f335(f87(x85471),x85472),x85473)),f335(f335(f87(x85471),x85474),x85475))) % 209.33/209.64 [8548]~P137(x85481)+~P106(f335(f335(f243(x85481),x85483),x85485))+~P106(f335(f335(f243(x85481),x85482),x85484))+~P106(f335(f335(f243(x85481),f2(x85481)),x85483))+~P106(f335(f335(f243(x85481),f2(x85481)),x85482))+P106(f335(f335(f243(x85481),f335(f335(f87(x85481),x85482),x85483)),f335(f335(f87(x85481),x85484),x85485))) % 209.33/209.64 [8549]~P68(x85491)+~P106(f335(f335(f244(x85491),f2(x85491)),x85495))+~P106(f335(f335(f243(x85491),x85495),x85493))+~P106(f335(f335(f243(x85491),x85492),x85494))+~P106(f335(f335(f243(x85491),f2(x85491)),x85492))+P106(f335(f335(f243(x85491),f335(f335(f299(x85491),x85492),x85493)),f335(f335(f299(x85491),x85494),x85495))) % 209.33/209.64 [8550]~P130(x85501)+~P106(f335(f335(f243(x85501),x85503),x85505))+~P106(f335(f335(f243(x85501),f2(x85501)),x85502))+~P106(f335(f335(f244(x85501),x85502),x85504))+~P106(f335(f335(f244(x85501),f2(x85501)),x85503))+P106(f335(f335(f244(x85501),f335(f335(f87(x85501),x85502),x85503)),f335(f335(f87(x85501),x85504),x85505))) % 209.33/209.64 [8551]~P130(x85511)+~P106(f335(f335(f243(x85511),x85512),x85514))+~P106(f335(f335(f243(x85511),f2(x85511)),x85513))+~P106(f335(f335(f244(x85511),x85513),x85515))+~P106(f335(f335(f244(x85511),f2(x85511)),x85512))+P106(f335(f335(f244(x85511),f335(f335(f87(x85511),x85512),x85513)),f335(f335(f87(x85511),x85514),x85515))) % 209.33/209.64 [8552]~P130(x85521)+~P106(f335(f335(f243(x85521),f2(x85521)),x85523))+~P106(f335(f335(f243(x85521),f2(x85521)),x85522))+~P106(f335(f335(f244(x85521),x85523),x85525))+~P106(f335(f335(f244(x85521),x85522),x85524))+P106(f335(f335(f244(x85521),f335(f335(f87(x85521),x85522),x85523)),f335(f335(f87(x85521),x85524),x85525))) % 209.33/209.64 [8553]~P130(x85531)+~P106(f335(f335(f243(x85531),f2(x85531)),x85533))+~P106(f335(f335(f244(x85531),x85533),x85535))+~P106(f335(f335(f244(x85531),x85532),x85534))+~P106(f335(f335(f244(x85531),f2(x85531)),x85534))+P106(f335(f335(f244(x85531),f335(f335(f87(x85531),x85532),x85533)),f335(f335(f87(x85531),x85534),x85535))) % 209.33/209.64 [8554]~P68(x85541)+~P106(f335(f335(f243(x85541),x85545),x85543))+~P106(f335(f335(f243(x85541),f2(x85541)),x85542))+~P106(f335(f335(f244(x85541),x85542),x85544))+~P106(f335(f335(f244(x85541),f2(x85541)),x85545))+P106(f335(f335(f244(x85541),f335(f335(f299(x85541),x85542),x85543)),f335(f335(f299(x85541),x85544),x85545))) % 209.33/209.64 [8555]~P68(x85551)+~P106(f335(f335(f243(x85551),x85552),x85554))+~P106(f335(f335(f244(x85551),x85555),x85553))+~P106(f335(f335(f244(x85551),f2(x85551)),x85555))+~P106(f335(f335(f244(x85551),f2(x85551)),x85552))+P106(f335(f335(f244(x85551),f335(f335(f299(x85551),x85552),x85553)),f335(f335(f299(x85551),x85554),x85555))) % 209.33/209.64 [9942]~P86(x99425)+~P75(x99425)+E(x99421,f195(f934(x99422,a922)))+~P106(f335(f66(x99422),x99421))+P106(f335(f335(f337(x99422),f552(x99423,x99424,x99421,x99422,x99425)),x99421))+P106(f335(f335(f244(x99425),f335(f335(f6(x99422,x99425),x99424),x99421)),f335(f335(f6(x99422,x99425),x99423),x99421))) % 209.33/209.64 [10052]~P84(x100521)+~P75(x100521)+~P106(f335(f66(x100522),x100525))+~P106(f335(f335(f243(x100521),f2(x100521)),f335(x100523,f430(x100523,x100524,x100525,x100522,x100521))))+P106(f335(f335(f243(x100521),f335(f335(f6(x100522,x100521),x100523),x100524)),f335(f335(f6(x100522,x100521),x100523),x100525)))+~P106(f335(f335(f243(f934(x100522,a922)),x100524),x100525)) % 209.33/209.64 [10224]~P86(x102243)+~P75(x102243)+E(x102241,f195(f934(x102242,a922)))+~P106(f335(f66(x102242),x102241))+~P106(f335(f335(f244(x102243),f335(x102244,f552(x102245,x102244,x102241,x102242,x102243))),f335(x102245,f552(x102245,x102244,x102241,x102242,x102243))))+P106(f335(f335(f244(x102243),f335(f335(f6(x102242,x102243),x102244),x102241)),f335(f335(f6(x102242,x102243),x102245),x102241))) % 209.33/209.64 [7289]~P17(x72892,x72895,x72894)+E(x72891,f195(f934(x72892,a922)))+E(x72893,f195(f934(x72892,a922)))+~P106(f335(f66(x72892),x72891))+~P106(f335(f66(x72892),x72893))+E(f335(x72894,f335(f335(f117(f934(x72892,a922)),x72893),x72891)),f335(f335(x72895,f335(x72894,x72893)),f335(x72894,x72891))) % 209.33/209.64 [7872]~P148(x78721,x78724,x78723)+P106(f335(x78721,x78722))+~P106(f335(f335(f244(a1),x78724),f2(a1)))+~P106(f335(f335(f243(a1),x78725),f2(a1)))+~E(x78723,f335(f335(f86(a1),f335(f335(f87(a1),x78724),x78722)),x78725))+~P106(f335(f335(f244(a1),x78724),x78725)) % 209.33/209.64 [7873]~P147(x78731,x78734,x78733)+P106(f335(x78731,x78732))+~P106(f335(f335(f244(a1),x78734),f2(a1)))+~P106(f335(f335(f243(a1),x78732),f2(a1)))+~E(x78733,f335(f335(f86(a1),f335(f335(f87(a1),x78734),x78735)),x78732))+~P106(f335(f335(f244(a1),x78734),x78732)) % 209.33/209.64 [7914]~P148(x79141,x79144,x79143)+P106(f335(x79141,x79142))+~E(x79143,f335(f335(f86(a1),f335(f335(f87(a1),x79144),x79142)),x79145))+~P106(f335(f335(f243(a1),f2(a1)),x79145))+~P106(f335(f335(f244(a1),f2(a1)),x79144))+~P106(f335(f335(f244(a1),x79145),x79144)) % 209.33/209.64 [7915]~P147(x79151,x79154,x79153)+P106(f335(x79151,x79152))+~E(x79153,f335(f335(f86(a1),f335(f335(f87(a1),x79154),x79155)),x79152))+~P106(f335(f335(f243(a1),f2(a1)),x79152))+~P106(f335(f335(f244(a1),f2(a1)),x79154))+~P106(f335(f335(f244(a1),x79152),x79154)) % 209.33/209.64 [8838]P106(f335(f335(x88381,x88382),x88383))+~P106(f335(f335(x88381,f335(f335(f41(a1),x88384),x88385)),f50(a1,x88384,x88385)))+~P106(f335(f335(f244(a1),x88385),f2(a1)))+~P106(f335(f335(f243(a1),x88383),f2(a1)))+~E(x88384,f335(f335(f86(a1),f335(f335(f87(a1),x88385),x88382)),x88383))+~P106(f335(f335(f244(a1),x88385),x88383)) % 209.33/209.64 [8847]P106(f335(f335(x88471,x88472),x88473))+~P106(f335(f335(x88471,f335(f335(f41(a1),x88474),x88475)),f50(a1,x88474,x88475)))+~E(x88474,f335(f335(f86(a1),f335(f335(f87(a1),x88475),x88472)),x88473))+~P106(f335(f335(f243(a1),f2(a1)),x88473))+~P106(f335(f335(f244(a1),f2(a1)),x88475))+~P106(f335(f335(f244(a1),x88473),x88475)) % 209.33/209.64 [9108]E(x91081,x91082)+~P56(x91083,x91085,x91084)+~P106(f335(f335(f337(x91083),x91082),x91085))+~P106(f335(f335(f337(x91083),x91081),x91085))+P106(f335(f335(f337(f933(x91083,x91083)),f335(f335(f260(x91083,x91083),x91081),x91082)),x91084))+P106(f335(f335(f337(f933(x91083,x91083)),f335(f335(f260(x91083,x91083),x91082),x91081)),x91084)) % 209.33/209.64 [9969]~P84(x99695)+~P75(x99695)+~P106(f335(f66(x99691),x99694))+P106(f335(f335(f243(x99695),f335(f335(f6(x99691,x99695),x99692),x99693)),f335(f335(f6(x99691,x99695),x99692),x99694)))+~P106(f335(f335(f243(f934(x99691,a922)),x99693),x99694))+P106(f335(f335(f337(x99691),f430(x99692,x99693,x99694,x99691,x99695)),f335(f335(f23(f934(x99691,a922)),x99694),x99693))) % 209.33/209.64 [10060]E(x100601,f195(f934(x100602,a922)))+~P106(f335(f66(x100602),x100603))+~P106(f335(f66(x100602),x100601))+P106(f335(f335(f337(f933(f934(x100602,a922),f934(x100602,a922))),f335(f335(f260(f934(x100602,a922),f934(x100602,a922)),x100603),x100601)),f326(x100602,x100604)))+~P106(f335(f335(f337(x100602),x100605),x100601))+~P106(f335(f335(f337(f933(x100602,x100602)),f335(f335(f260(x100602,x100602),f361(x100604,x100601,x100603,x100602)),x100605)),x100604)) % 209.33/209.64 [10061]E(x100611,f195(f934(x100612,a922)))+~P106(f335(f66(x100612),x100613))+~P106(f335(f66(x100612),x100611))+P106(f335(f335(f337(f933(f934(x100612,a922),f934(x100612,a922))),f335(f335(f260(f934(x100612,a922),f934(x100612,a922)),x100613),x100611)),f326(x100612,x100614)))+~P106(f335(f335(f337(x100612),x100615),x100611))+~P106(f335(f335(f337(f933(x100612,x100612)),f335(f335(f260(x100612,x100612),f610(x100614,x100611,x100613,x100612)),x100615)),x100614)) % 209.33/209.64 [10228]~P78(x102281)+~E(f335(f335(f6(x102285,x102281),x102282),x102286),x102284)+~P106(f335(f66(x102285),x102286))+P106(f335(f335(f337(x102285),f487(x102283,x102284,x102282,x102286,x102285,x102281)),x102286))+P106(f335(f335(f243(x102281),f335(x102282,x102283)),x102284))+~P106(f335(f335(f337(x102285),x102283),x102286)) % 209.33/209.64 [10276]~P78(x102761)+~E(f335(f335(f6(x102765,x102761),x102762),x102766),x102764)+~P106(f335(f66(x102765),x102766))+~P106(f335(f335(f337(x102765),x102763),x102766))+~P106(f335(f335(f243(x102761),f2(x102761)),f335(x102762,f487(x102763,x102764,x102762,x102766,x102765,x102761))))+P106(f335(f335(f243(x102761),f335(x102762,x102763)),x102764)) % 209.33/209.64 [10422]~E(x104225,x104228)+~E(x104224,x104227)+~P109(x104221)+~P75(x104222)+E(f335(f335(f6(x104221,x104222),x104223),f335(f310(x104221,x104224),x104225)),f335(f335(f6(x104221,x104222),x104226),f335(f310(x104221,x104227),x104228)))+P106(f335(f335(f243(x104221),x104224),f645(x104223,x104226,x104225,x104228,x104224,x104227,x104221,x104222))) % 209.33/209.64 [10438]~E(x104387,x104384)+~E(x104388,x104385)+~P109(x104381)+~P75(x104382)+~E(f335(x104383,f645(x104386,x104383,x104388,x104385,x104387,x104384,x104381,x104382)),f335(x104386,f645(x104386,x104383,x104388,x104385,x104387,x104384,x104381,x104382)))+E(f335(f335(f6(x104381,x104382),x104383),f335(f310(x104381,x104384),x104385)),f335(f335(f6(x104381,x104382),x104386),f335(f310(x104381,x104387),x104388))) % 209.33/209.64 [10441]~E(x104414,x104417)+~E(x104415,x104418)+~P109(x104411)+~P75(x104412)+E(f335(f335(f6(x104411,x104412),x104413),f335(f310(x104411,x104414),x104415)),f335(f335(f6(x104411,x104412),x104416),f335(f310(x104411,x104417),x104418)))+P106(f335(f335(f244(x104411),f645(x104413,x104416,x104415,x104418,x104414,x104417,x104411,x104412)),x104415)) % 209.33/209.64 [10067]~P8(x100675,x100679,x100676)+~P8(x100671,x1006710,x100673)+~P12(x100671,x100675,f934(x100672,a922),x100673,x100676,x100678)+~P106(f335(f335(f337(x100675),x100677),x100679))+~P106(f335(f335(f337(x100671),x100674),x1006710))+E(f335(f335(f44(x100671,f934(x100672,a922)),f335(f293(x100671,x100671,x100673),f335(f335(f317(x100671),x100674),f195(f934(x100671,a922))))),f335(f335(f8(f934(x100675,f934(x100672,a922)),f934(x100672,a922),x100671),f335(f44(x100675,f934(x100672,a922)),f335(f293(x100675,x100675,x100676),f335(f335(f317(x100675),x100677),f195(f934(x100675,a922)))))),x100678)),f335(f335(x100678,x100674),x100677)) % 209.33/209.64 [5836]~P108(x58363)+~P13(x58363,x58362)+~P13(x58363,x58361)+E(x58361,x58362)+~E(f335(f179(x58363),x58361),f335(f179(x58363),x58362))+~P106(f335(f144(x58363),x58362))+~P106(f335(f144(x58363),x58361)) % 209.33/209.64 [5168]~P129(x51682)+~P134(x51682)+~P144(x51682)+~P115(x51682)+~E(x51683,f2(x51682))+E(x51681,f2(a927))+E(f335(f335(f252(x51682),x51683),x51681),f2(x51682)) % 209.33/209.64 [9368]E(x93681,f2(a927))+~E(x93682,f335(f335(f86(a927),f335(f335(f87(a927),f335(f259(a927,a927),x93683)),x93681)),f335(f264(a927,a927),x93683)))+P106(f335(f53(x93682,x93681),x93683))+~P106(f335(f335(f243(a927),f335(f264(a927,a927),x93683)),f2(a927)))+~P106(f335(f335(f243(a927),f2(a927)),f335(f264(a927,a927),x93683)))+~P106(f335(f335(f244(a927),x93681),f335(f264(a927,a927),x93683)))+~P106(f335(f335(f244(a927),f335(f264(a927,a927),x93683)),x93681)) % 209.33/209.64 [9376]~E(f335(f259(a927,a927),x93763),f2(a927))+~E(x93761,f335(f335(f86(a927),f335(f335(f87(a927),f335(f259(a927,a927),x93763)),x93762)),f335(f264(a927,a927),x93763)))+P106(f335(f53(x93761,x93762),x93763))+~P106(f335(f335(f243(a927),f335(f264(a927,a927),x93763)),f2(a927)))+~P106(f335(f335(f243(a927),f2(a927)),f335(f264(a927,a927),x93763)))+~P106(f335(f335(f244(a927),x93762),f335(f264(a927,a927),x93763)))+~P106(f335(f335(f244(a927),f335(f264(a927,a927),x93763)),x93762)) % 209.33/209.64 [8220]~P69(x82202)+E(x82201,f195(f934(x82202,a922)))+E(x82203,f195(f934(x82202,a922)))+~P106(f335(f66(x82202),x82201))+~P106(f335(f66(x82202),x82203))+~E(f335(f335(f108(f934(x82202,a922)),x82203),x82201),f195(f934(x82202,a922)))+E(f335(f335(f87(x82202),f335(f68(x82202,f87(x82202)),x82203)),f335(f68(x82202,f87(x82202)),x82201)),f335(f68(x82202,f87(x82202)),f335(f335(f117(f934(x82202,a922)),x82203),x82201))) % 209.33/209.64 [8008]E(x80081,f2(a1))+E(f335(f335(f41(a1),x80082),x80081),x80083)+~P106(f335(f335(f243(a1),x80084),f2(a1)))+~E(x80082,f335(f335(f86(a1),f335(f335(f87(a1),x80081),x80083)),x80084))+~P106(f335(f335(f243(a1),f2(a1)),x80084))+~P106(f335(f335(f244(a1),x80084),x80081))+~P106(f335(f335(f244(a1),x80081),x80084)) % 209.33/209.64 [8016]E(f50(a1,x80162,x80161),x80163)+E(x80161,f2(a1))+~P106(f335(f335(f243(a1),x80163),f2(a1)))+~E(x80162,f335(f335(f86(a1),f335(f335(f87(a1),x80161),x80164)),x80163))+~P106(f335(f335(f243(a1),f2(a1)),x80163))+~P106(f335(f335(f244(a1),x80163),x80161))+~P106(f335(f335(f244(a1),x80161),x80163)) % 209.33/209.64 [7923]~P18(x79232,x79235,x79234)+E(x79231,f195(f934(x79232,a922)))+E(x79233,f195(f934(x79232,a922)))+~P106(f335(f66(x79232),x79231))+~P106(f335(f66(x79232),x79233))+~E(f335(f335(f108(f934(x79232,a922)),x79233),x79231),f195(f934(x79232,a922)))+E(f335(x79234,f335(f335(f117(f934(x79232,a922)),x79233),x79231)),f335(f335(x79235,f335(x79234,x79233)),f335(x79234,x79231))) % 209.33/209.64 [9609]~P25(x96093,x96091,x96095,x96094)+~P25(x96091,x96093,x96096,x96092)+E(f335(f40(x96091),x96092),f335(f40(x96093),x96094))+~P106(f335(f66(x96093),x96094))+~P106(f335(f66(x96091),x96092))+~P106(f335(f335(f243(f934(x96093,a922)),f335(f318(x96091,x96093,x96096),x96092)),x96094))+~P106(f335(f335(f243(f934(x96091,a922)),f335(f318(x96093,x96091,x96095),x96094)),x96092)) % 209.33/209.64 [9553]~P106(f335(f335(f244(a1),f335(f335(f86(a1),f335(f335(f87(a1),x95535),x95531)),x95536)),f2(a1)))+~E(f335(f335(f86(a1),f335(f335(f87(a1),x95533),x95532)),x95534),f335(f335(f86(a1),f335(f335(f87(a1),x95535),x95531)),x95536))+~P106(f335(f335(f243(a1),f2(a1)),x95536))+~P106(f335(f335(f244(a1),f2(a1)),x95535))+~P106(f335(f335(f243(a1),x95535),x95533))+~P106(f335(f335(f244(a1),x95534),x95533))+P106(f335(f335(f243(a1),x95531),x95532)) % 209.33/209.64 [9319]~E(f335(f335(f86(a1),f335(f335(f87(a1),x93193),x93191)),x93194),f335(f335(f86(a1),f335(f335(f87(a1),x93195),x93192)),x93196))+~P106(f335(f335(f243(a1),f2(a1)),x93194))+~P106(f335(f335(f244(a1),f2(a1)),x93195))+~P106(f335(f335(f243(a1),x93195),x93193))+~P106(f335(f335(f244(a1),x93196),x93195))+P106(f335(f335(f243(a1),x93191),x93192))+~P106(f335(f335(f243(a1),f2(a1)),f335(f335(f86(a1),f335(f335(f87(a1),x93195),x93192)),x93196))) % 209.33/209.64 [9493]~P132(x94931)+~E(f335(f335(f86(x94931),x94932),x94934),f84(x94931))+~P106(f335(f335(f243(x94931),x94935),x94936))+~P106(f335(f335(f243(x94931),x94933),x94936))+~P106(f335(f335(f243(x94931),f2(x94931)),x94934))+~P106(f335(f335(f243(x94931),f2(x94931)),x94932))+P106(f335(f335(f243(x94931),f335(f335(f86(x94931),f335(f335(f87(x94931),x94932),x94933)),f335(f335(f87(x94931),x94934),x94935))),x94936)) % 209.33/209.64 [9494]~P133(x94941)+~E(f335(f335(f86(x94941),x94942),x94944),f84(x94941))+~P106(f335(f335(f243(x94941),f2(x94941)),x94944))+~P106(f335(f335(f243(x94941),f2(x94941)),x94942))+~P106(f335(f335(f244(x94941),x94945),x94946))+~P106(f335(f335(f244(x94941),x94943),x94946))+P106(f335(f335(f244(x94941),f335(f335(f86(x94941),f335(f335(f87(x94941),x94942),x94943)),f335(f335(f87(x94941),x94944),x94945))),x94946)) % 209.33/209.64 [10327]~P8(x103277,x103276,x103275)+E(x103271,x103272)+~P11(x103277,f934(x103274,a922),x103275,x103273)+E(f335(x103273,f800(x103271,x103272,x103273,x103274,x103275,x103276,x103277)),f335(x103273,f790(x103271,x103272,x103273,x103274,x103275,x103276,x103277)))+~E(f335(f335(f44(x103277,f934(x103274,a922)),x103271),x103273),f335(f335(f44(x103277,f934(x103274,a922)),x103272),x103273))+~P106(f335(f335(f337(f934(x103277,a922)),x103272),f335(f335(f65(x103277),x103276),x103275)))+~P106(f335(f335(f337(f934(x103277,a922)),x103271),f335(f335(f65(x103277),x103276),x103275))) % 209.33/209.64 [10373]~P8(x103733,x103737,x103736)+E(x103731,x103732)+~P11(x103733,f934(x103735,a922),x103736,x103734)+~E(f335(f335(f44(x103733,f934(x103735,a922)),x103731),x103734),f335(f335(f44(x103733,f934(x103735,a922)),x103732),x103734))+P106(f335(f335(f337(x103733),f790(x103731,x103732,x103734,x103735,x103736,x103737,x103733)),x103737))+~P106(f335(f335(f337(f934(x103733,a922)),x103732),f335(f335(f65(x103733),x103737),x103736)))+~P106(f335(f335(f337(f934(x103733,a922)),x103731),f335(f335(f65(x103733),x103737),x103736))) % 209.33/209.64 [10374]~P8(x103743,x103747,x103746)+E(x103741,x103742)+~P11(x103743,f934(x103745,a922),x103746,x103744)+~E(f335(f335(f44(x103743,f934(x103745,a922)),x103741),x103744),f335(f335(f44(x103743,f934(x103745,a922)),x103742),x103744))+P106(f335(f335(f337(x103743),f800(x103741,x103742,x103744,x103745,x103746,x103747,x103743)),x103747))+~P106(f335(f335(f337(f934(x103743,a922)),x103742),f335(f335(f65(x103743),x103747),x103746)))+~P106(f335(f335(f337(f934(x103743,a922)),x103741),f335(f335(f65(x103743),x103747),x103746))) % 209.33/209.64 [10457]E(x104571,x104572)+~P8(x104573,x104576,x104577)+~P11(x104573,f934(x104574,a922),x104577,x104575)+~E(f335(f335(f44(x104573,f934(x104574,a922)),x104571),x104575),f335(f335(f44(x104573,f934(x104574,a922)),x104572),x104575))+~P106(f335(f335(f337(f933(x104573,x104573)),f335(f335(f260(x104573,x104573),f790(x104571,x104572,x104575,x104574,x104577,x104576,x104573)),f800(x104571,x104572,x104575,x104574,x104577,x104576,x104573))),x104577))+~P106(f335(f335(f337(f934(x104573,a922)),x104572),f335(f335(f65(x104573),x104576),x104577)))+~P106(f335(f335(f337(f934(x104573,a922)),x104571),f335(f335(f65(x104573),x104576),x104577))) % 209.33/209.64 [9318]~P8(x93181,x93187,x93184)+~E(x93185,x93186)+~P106(f335(f335(f337(x93181),x93183),x93186))+~P106(f335(f335(f337(x93181),x93182),x93185))+~P106(f335(f335(f337(f934(x93181,a922)),x93186),f335(f335(f65(x93181),x93187),x93184)))+~P106(f335(f335(f337(f934(x93181,a922)),x93185),f335(f335(f65(x93181),x93187),x93184)))+P106(f335(f335(f337(f933(x93181,x93181)),f335(f335(f260(x93181,x93181),x93182),x93183)),x93184)) % 209.33/209.64 [9452]E(x94521,x94522)+~P8(x94523,x94524,x94525)+~P106(f335(f335(f337(x94523),x94526),x94522))+~P106(f335(f335(f337(x94523),x94527),x94521))+~P106(f335(f335(f337(f934(x94523,a922)),x94522),f335(f335(f65(x94523),x94524),x94525)))+~P106(f335(f335(f337(f934(x94523,a922)),x94521),f335(f335(f65(x94523),x94524),x94525)))+~P106(f335(f335(f337(f933(x94523,x94523)),f335(f335(f260(x94523,x94523),x94527),x94526)),x94525)) % 209.33/209.64 [10484]~P8(x104849,x104848,x104847)+~P8(x104841,x1048411,x1048410)+~P12(x104841,x104849,f934(x104846,a922),x1048410,x104847,x104845)+P106(f335(f335(f337(x104841),f728(x104842,x104843,x104844,x104845,x104846,x104847,x104848,x104849,x1048410,x1048411,x104841)),x1048411))+~P106(f335(f335(f337(f934(x104849,a922)),x104843),f335(f335(f65(x104849),x104848),x104847)))+~P106(f335(f335(f337(f934(x104841,a922)),x104844),f335(f335(f65(x104841),x1048411),x1048410)))+P106(f335(f335(f337(f934(x104846,a922)),f335(f335(f44(x104841,f934(x104846,a922)),x104844),f335(f335(f8(f934(x104849,f934(x104846,a922)),f934(x104846,a922),x104841),f335(f44(x104849,f934(x104846,a922)),x104843)),x104845))),x104842)) % 209.33/209.64 [10485]~P8(x1048511,x1048510,x104859)+~P8(x104851,x104858,x104857)+~P12(x1048511,x104851,f934(x104856,a922),x104859,x104857,x104855)+P106(f335(f335(f337(x104851),f742(x104852,x104853,x104854,x104855,x104856,x104857,x104858,x104851,x104859,x1048510,x1048511)),x104858))+~P106(f335(f335(f337(f934(x1048511,a922)),x104854),f335(f335(f65(x1048511),x1048510),x104859)))+~P106(f335(f335(f337(f934(x104851,a922)),x104853),f335(f335(f65(x104851),x104858),x104857)))+P106(f335(f335(f337(f934(x104856,a922)),f335(f335(f44(x1048511,f934(x104856,a922)),x104854),f335(f335(f8(f934(x104851,f934(x104856,a922)),f934(x104856,a922),x1048511),f335(f44(x104851,f934(x104856,a922)),x104853)),x104855))),x104852)) % 209.33/209.64 [10486]~P8(x104862,x104868,x104869)+~P8(x104864,x1048610,x1048611)+~P12(x104862,x104864,f934(x104861,a922),x104869,x1048611,x104866)+~P106(f335(f335(f337(f934(x104862,a922)),x104863),f335(f335(f65(x104862),x104868),x104869)))+~P106(f335(f335(f337(f934(x104864,a922)),x104865),f335(f335(f65(x104864),x1048610),x1048611)))+~P106(f335(f335(f337(f934(x104861,a922)),f335(f335(x104866,f728(x104867,x104865,x104863,x104866,x104861,x1048611,x1048610,x104864,x104869,x104868,x104862)),f742(x104867,x104865,x104863,x104866,x104861,x1048611,x1048610,x104864,x104869,x104868,x104862))),x104867))+P106(f335(f335(f337(f934(x104861,a922)),f335(f335(f44(x104862,f934(x104861,a922)),x104863),f335(f335(f8(f934(x104864,f934(x104861,a922)),f934(x104861,a922),x104862),f335(f44(x104864,f934(x104861,a922)),x104865)),x104866))),x104867)) % 209.33/209.64 [9354]E(x93541,x93542)+~P108(x93544)+~P25(x93543,x93544,x93545,f335(f335(f117(f934(x93543,a922)),f335(f179(x93543),x93541)),f335(f179(x93543),x93542)))+~E(f335(f179(x93543),x93541),f335(f179(x93543),x93542))+~P13(x93544,f335(f335(f161(x93543,x93544),x93545),x93542))+~P13(x93544,f335(f335(f161(x93543,x93544),x93545),x93541))+~P106(f335(f144(x93544),f335(f335(f161(x93543,x93544),x93545),x93542)))+~P106(f335(f144(x93544),f335(f335(f161(x93543,x93544),x93545),x93541))) % 209.33/209.64 %EqnAxiom % 209.33/209.64 [1]E(x11,x11) % 209.33/209.64 [2]E(x22,x21)+~E(x21,x22) % 209.33/209.64 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 209.33/209.64 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 209.33/209.64 [5]~E(x51,x52)+E(f107(x51),f107(x52)) % 209.33/209.64 [6]~E(x61,x62)+E(f23(x61),f23(x62)) % 209.33/209.64 [7]~E(x71,x72)+E(f195(x71),f195(x72)) % 209.33/209.64 [8]~E(x81,x82)+E(f335(x81,x83),f335(x82,x83)) % 209.33/209.64 [9]~E(x91,x92)+E(f335(x93,x91),f335(x93,x92)) % 209.33/209.64 [10]~E(x101,x102)+E(f108(x101),f108(x102)) % 209.33/209.64 [11]~E(x111,x112)+E(f241(x111),f241(x112)) % 209.33/209.64 [12]~E(x121,x122)+E(f117(x121),f117(x122)) % 209.33/209.64 [13]~E(x131,x132)+E(f242(x131),f242(x132)) % 209.33/209.64 [14]~E(x141,x142)+E(f109(x141),f109(x142)) % 209.33/209.64 [15]~E(x151,x152)+E(f25(x151),f25(x152)) % 209.33/209.64 [16]~E(x161,x162)+E(f30(x161),f30(x162)) % 209.33/209.64 [17]~E(x171,x172)+E(f6(x171,x173),f6(x172,x173)) % 209.33/209.64 [18]~E(x181,x182)+E(f6(x183,x181),f6(x183,x182)) % 209.33/209.64 [19]~E(x191,x192)+E(f90(x191),f90(x192)) % 209.33/209.64 [20]~E(x201,x202)+E(f179(x201),f179(x202)) % 209.33/209.64 [21]~E(x211,x212)+E(f146(x211,x213),f146(x212,x213)) % 209.33/209.64 [22]~E(x221,x222)+E(f146(x223,x221),f146(x223,x222)) % 209.33/209.64 [23]~E(x231,x232)+E(f742(x231,x233,x234,x235,x236,x237,x238,x239,x2310,x2311,x2312),f742(x232,x233,x234,x235,x236,x237,x238,x239,x2310,x2311,x2312)) % 209.33/209.64 [24]~E(x241,x242)+E(f742(x243,x241,x244,x245,x246,x247,x248,x249,x2410,x2411,x2412),f742(x243,x242,x244,x245,x246,x247,x248,x249,x2410,x2411,x2412)) % 209.33/209.64 [25]~E(x251,x252)+E(f742(x253,x254,x251,x255,x256,x257,x258,x259,x2510,x2511,x2512),f742(x253,x254,x252,x255,x256,x257,x258,x259,x2510,x2511,x2512)) % 209.33/209.64 [26]~E(x261,x262)+E(f742(x263,x264,x265,x261,x266,x267,x268,x269,x2610,x2611,x2612),f742(x263,x264,x265,x262,x266,x267,x268,x269,x2610,x2611,x2612)) % 209.33/209.64 [27]~E(x271,x272)+E(f742(x273,x274,x275,x276,x271,x277,x278,x279,x2710,x2711,x2712),f742(x273,x274,x275,x276,x272,x277,x278,x279,x2710,x2711,x2712)) % 209.33/209.64 [28]~E(x281,x282)+E(f742(x283,x284,x285,x286,x287,x281,x288,x289,x2810,x2811,x2812),f742(x283,x284,x285,x286,x287,x282,x288,x289,x2810,x2811,x2812)) % 209.33/209.64 [29]~E(x291,x292)+E(f742(x293,x294,x295,x296,x297,x298,x291,x299,x2910,x2911,x2912),f742(x293,x294,x295,x296,x297,x298,x292,x299,x2910,x2911,x2912)) % 209.33/209.64 [30]~E(x301,x302)+E(f742(x303,x304,x305,x306,x307,x308,x309,x301,x3010,x3011,x3012),f742(x303,x304,x305,x306,x307,x308,x309,x302,x3010,x3011,x3012)) % 209.33/209.64 [31]~E(x311,x312)+E(f742(x313,x314,x315,x316,x317,x318,x319,x3110,x311,x3111,x3112),f742(x313,x314,x315,x316,x317,x318,x319,x3110,x312,x3111,x3112)) % 209.33/209.64 [32]~E(x321,x322)+E(f742(x323,x324,x325,x326,x327,x328,x329,x3210,x3211,x321,x3212),f742(x323,x324,x325,x326,x327,x328,x329,x3210,x3211,x322,x3212)) % 209.33/209.64 [33]~E(x331,x332)+E(f742(x333,x334,x335,x336,x337,x338,x339,x3310,x3311,x3312,x331),f742(x333,x334,x335,x336,x337,x338,x339,x3310,x3311,x3312,x332)) % 209.33/209.64 [34]~E(x341,x342)+E(f84(x341),f84(x342)) % 209.33/209.64 [35]~E(x351,x352)+E(f87(x351),f87(x352)) % 209.33/209.64 [36]~E(x361,x362)+E(f728(x361,x363,x364,x365,x366,x367,x368,x369,x3610,x3611,x3612),f728(x362,x363,x364,x365,x366,x367,x368,x369,x3610,x3611,x3612)) % 209.33/209.64 [37]~E(x371,x372)+E(f728(x373,x371,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712),f728(x373,x372,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712)) % 209.33/209.64 [38]~E(x381,x382)+E(f728(x383,x384,x381,x385,x386,x387,x388,x389,x3810,x3811,x3812),f728(x383,x384,x382,x385,x386,x387,x388,x389,x3810,x3811,x3812)) % 209.33/209.64 [39]~E(x391,x392)+E(f728(x393,x394,x395,x391,x396,x397,x398,x399,x3910,x3911,x3912),f728(x393,x394,x395,x392,x396,x397,x398,x399,x3910,x3911,x3912)) % 209.33/209.64 [40]~E(x401,x402)+E(f728(x403,x404,x405,x406,x401,x407,x408,x409,x4010,x4011,x4012),f728(x403,x404,x405,x406,x402,x407,x408,x409,x4010,x4011,x4012)) % 209.33/209.64 [41]~E(x411,x412)+E(f728(x413,x414,x415,x416,x417,x411,x418,x419,x4110,x4111,x4112),f728(x413,x414,x415,x416,x417,x412,x418,x419,x4110,x4111,x4112)) % 209.33/209.64 [42]~E(x421,x422)+E(f728(x423,x424,x425,x426,x427,x428,x421,x429,x4210,x4211,x4212),f728(x423,x424,x425,x426,x427,x428,x422,x429,x4210,x4211,x4212)) % 209.33/209.64 [43]~E(x431,x432)+E(f728(x433,x434,x435,x436,x437,x438,x439,x431,x4310,x4311,x4312),f728(x433,x434,x435,x436,x437,x438,x439,x432,x4310,x4311,x4312)) % 209.33/209.64 [44]~E(x441,x442)+E(f728(x443,x444,x445,x446,x447,x448,x449,x4410,x441,x4411,x4412),f728(x443,x444,x445,x446,x447,x448,x449,x4410,x442,x4411,x4412)) % 209.33/209.64 [45]~E(x451,x452)+E(f728(x453,x454,x455,x456,x457,x458,x459,x4510,x4511,x451,x4512),f728(x453,x454,x455,x456,x457,x458,x459,x4510,x4511,x452,x4512)) % 209.33/209.64 [46]~E(x461,x462)+E(f728(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x4612,x461),f728(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x4612,x462)) % 209.33/209.64 [47]~E(x471,x472)+E(f118(x471),f118(x472)) % 209.33/209.64 [48]~E(x481,x482)+E(f337(x481),f337(x482)) % 209.33/209.64 [49]~E(x491,x492)+E(f934(x491,x493),f934(x492,x493)) % 209.33/209.64 [50]~E(x501,x502)+E(f934(x503,x501),f934(x503,x502)) % 209.33/209.64 [51]~E(x511,x512)+E(f4(x511),f4(x512)) % 209.33/209.64 [52]~E(x521,x522)+E(f86(x521),f86(x522)) % 209.33/209.64 [53]~E(x531,x532)+E(f926(x531),f926(x532)) % 209.33/209.64 [54]~E(x541,x542)+E(f931(x541),f931(x542)) % 209.33/209.64 [55]~E(x551,x552)+E(f928(x551),f928(x552)) % 209.33/209.64 [56]~E(x561,x562)+E(f929(x561),f929(x562)) % 209.33/209.64 [57]~E(x571,x572)+E(f33(x571),f33(x572)) % 209.33/209.64 [58]~E(x581,x582)+E(f35(x581),f35(x582)) % 209.33/209.64 [59]~E(x591,x592)+E(f8(x591,x593,x594),f8(x592,x593,x594)) % 209.33/209.64 [60]~E(x601,x602)+E(f8(x603,x601,x604),f8(x603,x602,x604)) % 209.33/209.64 [61]~E(x611,x612)+E(f8(x613,x614,x611),f8(x613,x614,x612)) % 209.33/209.64 [62]~E(x621,x622)+E(f34(x621),f34(x622)) % 209.33/209.64 [63]~E(x631,x632)+E(f244(x631),f244(x632)) % 209.33/209.64 [64]~E(x641,x642)+E(f68(x641,x643),f68(x642,x643)) % 209.33/209.64 [65]~E(x651,x652)+E(f68(x653,x651),f68(x653,x652)) % 209.33/209.64 [66]~E(x661,x662)+E(f85(x661),f85(x662)) % 209.33/209.64 [67]~E(x671,x672)+E(f505(x671,x673,x674,x675),f505(x672,x673,x674,x675)) % 209.33/209.64 [68]~E(x681,x682)+E(f505(x683,x681,x684,x685),f505(x683,x682,x684,x685)) % 209.33/209.64 [69]~E(x691,x692)+E(f505(x693,x694,x691,x695),f505(x693,x694,x692,x695)) % 209.33/209.64 [70]~E(x701,x702)+E(f505(x703,x704,x705,x701),f505(x703,x704,x705,x702)) % 209.33/209.64 [71]~E(x711,x712)+E(f196(x711),f196(x712)) % 209.33/209.64 [72]~E(x721,x722)+E(f243(x721),f243(x722)) % 209.33/209.64 [73]~E(x731,x732)+E(f110(x731),f110(x732)) % 209.33/209.64 [74]~E(x741,x742)+E(f66(x741),f66(x742)) % 209.33/209.64 [75]~E(x751,x752)+E(f65(x751),f65(x752)) % 209.33/209.64 [76]~E(x761,x762)+E(f353(x761,x763,x764,x765,x766,x767,x768),f353(x762,x763,x764,x765,x766,x767,x768)) % 209.33/209.64 [77]~E(x771,x772)+E(f353(x773,x771,x774,x775,x776,x777,x778),f353(x773,x772,x774,x775,x776,x777,x778)) % 209.33/209.64 [78]~E(x781,x782)+E(f353(x783,x784,x781,x785,x786,x787,x788),f353(x783,x784,x782,x785,x786,x787,x788)) % 209.33/209.64 [79]~E(x791,x792)+E(f353(x793,x794,x795,x791,x796,x797,x798),f353(x793,x794,x795,x792,x796,x797,x798)) % 209.33/209.64 [80]~E(x801,x802)+E(f353(x803,x804,x805,x806,x801,x807,x808),f353(x803,x804,x805,x806,x802,x807,x808)) % 209.33/209.64 [81]~E(x811,x812)+E(f353(x813,x814,x815,x816,x817,x811,x818),f353(x813,x814,x815,x816,x817,x812,x818)) % 209.33/209.64 [82]~E(x821,x822)+E(f353(x823,x824,x825,x826,x827,x828,x821),f353(x823,x824,x825,x826,x827,x828,x822)) % 209.33/209.64 [83]~E(x831,x832)+E(f9(x831,x833),f9(x832,x833)) % 209.33/209.64 [84]~E(x841,x842)+E(f9(x843,x841),f9(x843,x842)) % 209.33/209.64 [85]~E(x851,x852)+E(f44(x851,x853),f44(x852,x853)) % 209.33/209.64 [86]~E(x861,x862)+E(f44(x863,x861),f44(x863,x862)) % 209.33/209.64 [87]~E(x871,x872)+E(f351(x871,x873,x874),f351(x872,x873,x874)) % 209.33/209.64 [88]~E(x881,x882)+E(f351(x883,x881,x884),f351(x883,x882,x884)) % 209.33/209.64 [89]~E(x891,x892)+E(f351(x893,x894,x891),f351(x893,x894,x892)) % 209.33/209.64 [90]~E(x901,x902)+E(f317(x901),f317(x902)) % 209.33/209.64 [91]~E(x911,x912)+E(f120(x911),f120(x912)) % 209.33/209.64 [92]~E(x921,x922)+E(f260(x921,x923),f260(x922,x923)) % 209.33/209.64 [93]~E(x931,x932)+E(f260(x933,x931),f260(x933,x932)) % 209.33/209.64 [94]~E(x941,x942)+E(f7(x941,x943,x944),f7(x942,x943,x944)) % 209.33/209.64 [95]~E(x951,x952)+E(f7(x953,x951,x954),f7(x953,x952,x954)) % 209.33/209.64 [96]~E(x961,x962)+E(f7(x963,x964,x961),f7(x963,x964,x962)) % 209.33/209.64 [97]~E(x971,x972)+E(f262(x971,x973),f262(x972,x973)) % 209.33/209.64 [98]~E(x981,x982)+E(f262(x983,x981),f262(x983,x982)) % 209.33/209.64 [99]~E(x991,x992)+E(f311(x991,x993,x994),f311(x992,x993,x994)) % 209.33/209.64 [100]~E(x1001,x1002)+E(f311(x1003,x1001,x1004),f311(x1003,x1002,x1004)) % 209.33/209.64 [101]~E(x1011,x1012)+E(f311(x1013,x1014,x1011),f311(x1013,x1014,x1012)) % 209.33/209.64 [102]~E(x1021,x1022)+E(f299(x1021),f299(x1022)) % 209.33/209.64 [103]~E(x1031,x1032)+E(f933(x1031,x1033),f933(x1032,x1033)) % 209.33/209.64 [104]~E(x1041,x1042)+E(f933(x1043,x1041),f933(x1043,x1042)) % 209.33/209.64 [105]~E(x1051,x1052)+E(f40(x1051),f40(x1052)) % 209.33/209.64 [106]~E(x1061,x1062)+E(f91(x1061,x1063),f91(x1062,x1063)) % 209.33/209.64 [107]~E(x1071,x1072)+E(f91(x1073,x1071),f91(x1073,x1072)) % 209.33/209.64 [108]~E(x1081,x1082)+E(f183(x1081,x1083,x1084),f183(x1082,x1083,x1084)) % 209.33/209.64 [109]~E(x1091,x1092)+E(f183(x1093,x1091,x1094),f183(x1093,x1092,x1094)) % 209.33/209.64 [110]~E(x1101,x1102)+E(f183(x1103,x1104,x1101),f183(x1103,x1104,x1102)) % 209.33/209.64 [111]~E(x1111,x1112)+E(f533(x1111,x1113,x1114,x1115),f533(x1112,x1113,x1114,x1115)) % 209.33/209.64 [112]~E(x1121,x1122)+E(f533(x1123,x1121,x1124,x1125),f533(x1123,x1122,x1124,x1125)) % 209.33/209.64 [113]~E(x1131,x1132)+E(f533(x1133,x1134,x1131,x1135),f533(x1133,x1134,x1132,x1135)) % 209.33/209.64 [114]~E(x1141,x1142)+E(f533(x1143,x1144,x1145,x1141),f533(x1143,x1144,x1145,x1142)) % 209.33/209.64 [115]~E(x1151,x1152)+E(f310(x1151,x1153),f310(x1152,x1153)) % 209.33/209.64 [116]~E(x1161,x1162)+E(f310(x1163,x1161),f310(x1163,x1162)) % 209.33/209.64 [117]~E(x1171,x1172)+E(f174(x1171),f174(x1172)) % 209.33/209.64 [118]~E(x1181,x1182)+E(f149(x1181,x1183,x1184,x1185),f149(x1182,x1183,x1184,x1185)) % 209.33/209.64 [119]~E(x1191,x1192)+E(f149(x1193,x1191,x1194,x1195),f149(x1193,x1192,x1194,x1195)) % 209.33/209.64 [120]~E(x1201,x1202)+E(f149(x1203,x1204,x1201,x1205),f149(x1203,x1204,x1202,x1205)) % 209.33/209.64 [121]~E(x1211,x1212)+E(f149(x1213,x1214,x1215,x1211),f149(x1213,x1214,x1215,x1212)) % 209.33/209.64 [122]~E(x1221,x1222)+E(f608(x1221,x1223,x1224,x1225,x1226),f608(x1222,x1223,x1224,x1225,x1226)) % 209.33/209.64 [123]~E(x1231,x1232)+E(f608(x1233,x1231,x1234,x1235,x1236),f608(x1233,x1232,x1234,x1235,x1236)) % 209.33/209.64 [124]~E(x1241,x1242)+E(f608(x1243,x1244,x1241,x1245,x1246),f608(x1243,x1244,x1242,x1245,x1246)) % 209.33/209.64 [125]~E(x1251,x1252)+E(f608(x1253,x1254,x1255,x1251,x1256),f608(x1253,x1254,x1255,x1252,x1256)) % 209.33/209.64 [126]~E(x1261,x1262)+E(f608(x1263,x1264,x1265,x1266,x1261),f608(x1263,x1264,x1265,x1266,x1262)) % 209.33/209.64 [127]~E(x1271,x1272)+E(f188(x1271,x1273),f188(x1272,x1273)) % 209.33/209.64 [128]~E(x1281,x1282)+E(f188(x1283,x1281),f188(x1283,x1282)) % 209.33/209.64 [129]~E(x1291,x1292)+E(f265(x1291,x1293,x1294),f265(x1292,x1293,x1294)) % 209.33/209.64 [130]~E(x1301,x1302)+E(f265(x1303,x1301,x1304),f265(x1303,x1302,x1304)) % 209.33/209.64 [131]~E(x1311,x1312)+E(f265(x1313,x1314,x1311),f265(x1313,x1314,x1312)) % 209.33/209.64 [132]~E(x1321,x1322)+E(f143(x1321,x1323),f143(x1322,x1323)) % 209.33/209.64 [133]~E(x1331,x1332)+E(f143(x1333,x1331),f143(x1333,x1332)) % 209.33/209.64 [134]~E(x1341,x1342)+E(f250(x1341),f250(x1342)) % 209.33/209.64 [135]~E(x1351,x1352)+E(f176(x1351,x1353,x1354),f176(x1352,x1353,x1354)) % 209.33/209.64 [136]~E(x1361,x1362)+E(f176(x1363,x1361,x1364),f176(x1363,x1362,x1364)) % 209.33/209.64 [137]~E(x1371,x1372)+E(f176(x1373,x1374,x1371),f176(x1373,x1374,x1372)) % 209.33/209.64 [138]~E(x1381,x1382)+E(f802(x1381,x1383,x1384,x1385),f802(x1382,x1383,x1384,x1385)) % 209.33/209.64 [139]~E(x1391,x1392)+E(f802(x1393,x1391,x1394,x1395),f802(x1393,x1392,x1394,x1395)) % 209.33/209.64 [140]~E(x1401,x1402)+E(f802(x1403,x1404,x1401,x1405),f802(x1403,x1404,x1402,x1405)) % 209.33/209.64 [141]~E(x1411,x1412)+E(f802(x1413,x1414,x1415,x1411),f802(x1413,x1414,x1415,x1412)) % 209.33/209.64 [142]~E(x1421,x1422)+E(f252(x1421),f252(x1422)) % 209.33/209.64 [143]~E(x1431,x1432)+E(f403(x1431,x1433,x1434,x1435,x1436,x1437),f403(x1432,x1433,x1434,x1435,x1436,x1437)) % 209.33/209.64 [144]~E(x1441,x1442)+E(f403(x1443,x1441,x1444,x1445,x1446,x1447),f403(x1443,x1442,x1444,x1445,x1446,x1447)) % 209.33/209.64 [145]~E(x1451,x1452)+E(f403(x1453,x1454,x1451,x1455,x1456,x1457),f403(x1453,x1454,x1452,x1455,x1456,x1457)) % 209.33/209.64 [146]~E(x1461,x1462)+E(f403(x1463,x1464,x1465,x1461,x1466,x1467),f403(x1463,x1464,x1465,x1462,x1466,x1467)) % 209.33/209.64 [147]~E(x1471,x1472)+E(f403(x1473,x1474,x1475,x1476,x1471,x1477),f403(x1473,x1474,x1475,x1476,x1472,x1477)) % 209.33/209.64 [148]~E(x1481,x1482)+E(f403(x1483,x1484,x1485,x1486,x1487,x1481),f403(x1483,x1484,x1485,x1486,x1487,x1482)) % 209.33/209.64 [149]~E(x1491,x1492)+E(f318(x1491,x1493,x1494),f318(x1492,x1493,x1494)) % 209.33/209.64 [150]~E(x1501,x1502)+E(f318(x1503,x1501,x1504),f318(x1503,x1502,x1504)) % 209.33/209.64 [151]~E(x1511,x1512)+E(f318(x1513,x1514,x1511),f318(x1513,x1514,x1512)) % 209.33/209.64 [152]~E(x1521,x1522)+E(f280(x1521,x1523),f280(x1522,x1523)) % 209.33/209.64 [153]~E(x1531,x1532)+E(f280(x1533,x1531),f280(x1533,x1532)) % 209.33/209.64 [154]~E(x1541,x1542)+E(f144(x1541),f144(x1542)) % 209.33/209.64 [155]~E(x1551,x1552)+E(f689(x1551,x1553),f689(x1552,x1553)) % 209.33/209.64 [156]~E(x1561,x1562)+E(f689(x1563,x1561),f689(x1563,x1562)) % 209.33/209.64 [157]~E(x1571,x1572)+E(f54(x1571,x1573),f54(x1572,x1573)) % 209.33/209.64 [158]~E(x1581,x1582)+E(f54(x1583,x1581),f54(x1583,x1582)) % 209.33/209.64 [159]~E(x1591,x1592)+E(f800(x1591,x1593,x1594,x1595,x1596,x1597,x1598),f800(x1592,x1593,x1594,x1595,x1596,x1597,x1598)) % 209.33/209.64 [160]~E(x1601,x1602)+E(f800(x1603,x1601,x1604,x1605,x1606,x1607,x1608),f800(x1603,x1602,x1604,x1605,x1606,x1607,x1608)) % 209.33/209.64 [161]~E(x1611,x1612)+E(f800(x1613,x1614,x1611,x1615,x1616,x1617,x1618),f800(x1613,x1614,x1612,x1615,x1616,x1617,x1618)) % 209.33/209.64 [162]~E(x1621,x1622)+E(f800(x1623,x1624,x1625,x1621,x1626,x1627,x1628),f800(x1623,x1624,x1625,x1622,x1626,x1627,x1628)) % 209.33/209.64 [163]~E(x1631,x1632)+E(f800(x1633,x1634,x1635,x1636,x1631,x1637,x1638),f800(x1633,x1634,x1635,x1636,x1632,x1637,x1638)) % 209.33/209.64 [164]~E(x1641,x1642)+E(f800(x1643,x1644,x1645,x1646,x1647,x1641,x1648),f800(x1643,x1644,x1645,x1646,x1647,x1642,x1648)) % 209.33/209.64 [165]~E(x1651,x1652)+E(f800(x1653,x1654,x1655,x1656,x1657,x1658,x1651),f800(x1653,x1654,x1655,x1656,x1657,x1658,x1652)) % 209.33/209.64 [166]~E(x1661,x1662)+E(f838(x1661),f838(x1662)) % 209.33/209.64 [167]~E(x1671,x1672)+E(f516(x1671,x1673),f516(x1672,x1673)) % 209.33/209.64 [168]~E(x1681,x1682)+E(f516(x1683,x1681),f516(x1683,x1682)) % 209.33/209.64 [169]~E(x1691,x1692)+E(f175(x1691),f175(x1692)) % 209.33/209.64 [170]~E(x1701,x1702)+E(f43(x1701,x1703),f43(x1702,x1703)) % 209.33/209.64 [171]~E(x1711,x1712)+E(f43(x1713,x1711),f43(x1713,x1712)) % 209.33/209.64 [172]~E(x1721,x1722)+E(f112(x1721),f112(x1722)) % 209.33/209.64 [173]~E(x1731,x1732)+E(f113(x1731),f113(x1732)) % 209.33/209.64 [174]~E(x1741,x1742)+E(f336(x1741),f336(x1742)) % 209.33/209.64 [175]~E(x1751,x1752)+E(f70(x1751,x1753,x1754),f70(x1752,x1753,x1754)) % 209.33/209.64 [176]~E(x1761,x1762)+E(f70(x1763,x1761,x1764),f70(x1763,x1762,x1764)) % 209.33/209.64 [177]~E(x1771,x1772)+E(f70(x1773,x1774,x1771),f70(x1773,x1774,x1772)) % 209.33/209.64 [178]~E(x1781,x1782)+E(f576(x1781),f576(x1782)) % 209.33/209.64 [179]~E(x1791,x1792)+E(f315(x1791,x1793),f315(x1792,x1793)) % 209.33/209.64 [180]~E(x1801,x1802)+E(f315(x1803,x1801),f315(x1803,x1802)) % 209.33/209.64 [181]~E(x1811,x1812)+E(f41(x1811),f41(x1812)) % 209.33/209.64 [182]~E(x1821,x1822)+E(f249(x1821,x1823),f249(x1822,x1823)) % 209.33/209.64 [183]~E(x1831,x1832)+E(f249(x1833,x1831),f249(x1833,x1832)) % 209.33/209.64 [184]~E(x1841,x1842)+E(f752(x1841,x1843),f752(x1842,x1843)) % 209.33/209.64 [185]~E(x1851,x1852)+E(f752(x1853,x1851),f752(x1853,x1852)) % 209.33/209.64 [186]~E(x1861,x1862)+E(f158(x1861),f158(x1862)) % 209.33/209.64 [187]~E(x1871,x1872)+E(f674(x1871,x1873,x1874,x1875,x1876),f674(x1872,x1873,x1874,x1875,x1876)) % 209.33/209.64 [188]~E(x1881,x1882)+E(f674(x1883,x1881,x1884,x1885,x1886),f674(x1883,x1882,x1884,x1885,x1886)) % 209.33/209.64 [189]~E(x1891,x1892)+E(f674(x1893,x1894,x1891,x1895,x1896),f674(x1893,x1894,x1892,x1895,x1896)) % 209.33/209.64 [190]~E(x1901,x1902)+E(f674(x1903,x1904,x1905,x1901,x1906),f674(x1903,x1904,x1905,x1902,x1906)) % 209.33/209.64 [191]~E(x1911,x1912)+E(f674(x1913,x1914,x1915,x1916,x1911),f674(x1913,x1914,x1915,x1916,x1912)) % 209.33/209.64 [192]~E(x1921,x1922)+E(f92(x1921,x1923),f92(x1922,x1923)) % 209.33/209.64 [193]~E(x1931,x1932)+E(f92(x1933,x1931),f92(x1933,x1932)) % 209.33/209.64 [194]~E(x1941,x1942)+E(f270(x1941),f270(x1942)) % 209.33/209.64 [195]~E(x1951,x1952)+E(f319(x1951,x1953,x1954),f319(x1952,x1953,x1954)) % 209.33/209.64 [196]~E(x1961,x1962)+E(f319(x1963,x1961,x1964),f319(x1963,x1962,x1964)) % 209.33/209.64 [197]~E(x1971,x1972)+E(f319(x1973,x1974,x1971),f319(x1973,x1974,x1972)) % 209.33/209.64 [198]~E(x1981,x1982)+E(f5(x1981),f5(x1982)) % 209.33/209.64 [199]~E(x1991,x1992)+E(f483(x1991,x1993,x1994,x1995,x1996),f483(x1992,x1993,x1994,x1995,x1996)) % 209.33/209.64 [200]~E(x2001,x2002)+E(f483(x2003,x2001,x2004,x2005,x2006),f483(x2003,x2002,x2004,x2005,x2006)) % 209.33/209.64 [201]~E(x2011,x2012)+E(f483(x2013,x2014,x2011,x2015,x2016),f483(x2013,x2014,x2012,x2015,x2016)) % 209.33/209.64 [202]~E(x2021,x2022)+E(f483(x2023,x2024,x2025,x2021,x2026),f483(x2023,x2024,x2025,x2022,x2026)) % 209.33/209.64 [203]~E(x2031,x2032)+E(f483(x2033,x2034,x2035,x2036,x2031),f483(x2033,x2034,x2035,x2036,x2032)) % 209.33/209.64 [204]~E(x2041,x2042)+E(f584(x2041,x2043,x2044),f584(x2042,x2043,x2044)) % 209.33/209.64 [205]~E(x2051,x2052)+E(f584(x2053,x2051,x2054),f584(x2053,x2052,x2054)) % 209.33/209.64 [206]~E(x2061,x2062)+E(f584(x2063,x2064,x2061),f584(x2063,x2064,x2062)) % 209.33/209.64 [207]~E(x2071,x2072)+E(f558(x2071,x2073,x2074),f558(x2072,x2073,x2074)) % 209.33/209.64 [208]~E(x2081,x2082)+E(f558(x2083,x2081,x2084),f558(x2083,x2082,x2084)) % 209.33/209.64 [209]~E(x2091,x2092)+E(f558(x2093,x2094,x2091),f558(x2093,x2094,x2092)) % 209.33/209.64 [210]~E(x2101,x2102)+E(f184(x2101,x2103,x2104),f184(x2102,x2103,x2104)) % 209.33/209.64 [211]~E(x2111,x2112)+E(f184(x2113,x2111,x2114),f184(x2113,x2112,x2114)) % 209.33/209.64 [212]~E(x2121,x2122)+E(f184(x2123,x2124,x2121),f184(x2123,x2124,x2122)) % 209.33/209.64 [213]~E(x2131,x2132)+E(f42(x2131,x2133),f42(x2132,x2133)) % 209.33/209.64 [214]~E(x2141,x2142)+E(f42(x2143,x2141),f42(x2143,x2142)) % 209.33/209.64 [215]~E(x2151,x2152)+E(f704(x2151,x2153,x2154,x2155,x2156),f704(x2152,x2153,x2154,x2155,x2156)) % 209.33/209.64 [216]~E(x2161,x2162)+E(f704(x2163,x2161,x2164,x2165,x2166),f704(x2163,x2162,x2164,x2165,x2166)) % 209.33/209.64 [217]~E(x2171,x2172)+E(f704(x2173,x2174,x2171,x2175,x2176),f704(x2173,x2174,x2172,x2175,x2176)) % 209.33/209.64 [218]~E(x2181,x2182)+E(f704(x2183,x2184,x2185,x2181,x2186),f704(x2183,x2184,x2185,x2182,x2186)) % 209.33/209.64 [219]~E(x2191,x2192)+E(f704(x2193,x2194,x2195,x2196,x2191),f704(x2193,x2194,x2195,x2196,x2192)) % 209.33/209.64 [220]~E(x2201,x2202)+E(f264(x2201,x2203),f264(x2202,x2203)) % 209.33/209.64 [221]~E(x2211,x2212)+E(f264(x2213,x2211),f264(x2213,x2212)) % 209.33/209.64 [222]~E(x2221,x2222)+E(f80(x2221,x2223,x2224,x2225,x2226),f80(x2222,x2223,x2224,x2225,x2226)) % 209.33/209.64 [223]~E(x2231,x2232)+E(f80(x2233,x2231,x2234,x2235,x2236),f80(x2233,x2232,x2234,x2235,x2236)) % 209.33/209.64 [224]~E(x2241,x2242)+E(f80(x2243,x2244,x2241,x2245,x2246),f80(x2243,x2244,x2242,x2245,x2246)) % 209.33/209.64 [225]~E(x2251,x2252)+E(f80(x2253,x2254,x2255,x2251,x2256),f80(x2253,x2254,x2255,x2252,x2256)) % 209.33/209.64 [226]~E(x2261,x2262)+E(f80(x2263,x2264,x2265,x2266,x2261),f80(x2263,x2264,x2265,x2266,x2262)) % 209.33/209.64 [227]~E(x2271,x2272)+E(f141(x2271),f141(x2272)) % 209.33/209.64 [228]~E(x2281,x2282)+E(f166(x2281,x2283),f166(x2282,x2283)) % 209.33/209.64 [229]~E(x2291,x2292)+E(f166(x2293,x2291),f166(x2293,x2292)) % 209.33/209.64 [230]~E(x2301,x2302)+E(f145(x2301),f145(x2302)) % 209.33/209.64 [231]~E(x2311,x2312)+E(f468(x2311,x2313,x2314),f468(x2312,x2313,x2314)) % 209.33/209.64 [232]~E(x2321,x2322)+E(f468(x2323,x2321,x2324),f468(x2323,x2322,x2324)) % 209.33/209.64 [233]~E(x2331,x2332)+E(f468(x2333,x2334,x2331),f468(x2333,x2334,x2332)) % 209.33/209.64 [234]~E(x2341,x2342)+E(f28(x2341,x2343,x2344),f28(x2342,x2343,x2344)) % 209.33/209.64 [235]~E(x2351,x2352)+E(f28(x2353,x2351,x2354),f28(x2353,x2352,x2354)) % 209.33/209.64 [236]~E(x2361,x2362)+E(f28(x2363,x2364,x2361),f28(x2363,x2364,x2362)) % 209.33/209.64 [237]~E(x2371,x2372)+E(f869(x2371,x2373,x2374),f869(x2372,x2373,x2374)) % 209.33/209.64 [238]~E(x2381,x2382)+E(f869(x2383,x2381,x2384),f869(x2383,x2382,x2384)) % 209.33/209.64 [239]~E(x2391,x2392)+E(f869(x2393,x2394,x2391),f869(x2393,x2394,x2392)) % 209.33/209.64 [240]~E(x2401,x2402)+E(f45(x2401,x2403),f45(x2402,x2403)) % 209.33/209.64 [241]~E(x2411,x2412)+E(f45(x2413,x2411),f45(x2413,x2412)) % 209.33/209.64 [242]~E(x2421,x2422)+E(f14(x2421,x2423),f14(x2422,x2423)) % 209.33/209.64 [243]~E(x2431,x2432)+E(f14(x2433,x2431),f14(x2433,x2432)) % 209.33/209.64 [244]~E(x2441,x2442)+E(f186(x2441,x2443),f186(x2442,x2443)) % 209.33/209.64 [245]~E(x2451,x2452)+E(f186(x2453,x2451),f186(x2453,x2452)) % 209.33/209.64 [246]~E(x2461,x2462)+E(f888(x2461),f888(x2462)) % 209.33/209.64 [247]~E(x2471,x2472)+E(f506(x2471,x2473,x2474,x2475),f506(x2472,x2473,x2474,x2475)) % 209.33/209.64 [248]~E(x2481,x2482)+E(f506(x2483,x2481,x2484,x2485),f506(x2483,x2482,x2484,x2485)) % 209.33/209.64 [249]~E(x2491,x2492)+E(f506(x2493,x2494,x2491,x2495),f506(x2493,x2494,x2492,x2495)) % 209.33/209.64 [250]~E(x2501,x2502)+E(f506(x2503,x2504,x2505,x2501),f506(x2503,x2504,x2505,x2502)) % 209.33/209.64 [251]~E(x2511,x2512)+E(f555(x2511,x2513,x2514),f555(x2512,x2513,x2514)) % 209.33/209.64 [252]~E(x2521,x2522)+E(f555(x2523,x2521,x2524),f555(x2523,x2522,x2524)) % 209.33/209.64 [253]~E(x2531,x2532)+E(f555(x2533,x2534,x2531),f555(x2533,x2534,x2532)) % 209.33/209.64 [254]~E(x2541,x2542)+E(f18(x2541,x2543,x2544),f18(x2542,x2543,x2544)) % 209.33/209.64 [255]~E(x2551,x2552)+E(f18(x2553,x2551,x2554),f18(x2553,x2552,x2554)) % 209.33/209.64 [256]~E(x2561,x2562)+E(f18(x2563,x2564,x2561),f18(x2563,x2564,x2562)) % 209.33/209.64 [257]~E(x2571,x2572)+E(f171(x2571),f171(x2572)) % 209.33/209.64 [258]~E(x2581,x2582)+E(f754(x2581,x2583),f754(x2582,x2583)) % 209.33/209.64 [259]~E(x2591,x2592)+E(f754(x2593,x2591),f754(x2593,x2592)) % 209.33/209.64 [260]~E(x2601,x2602)+E(f71(x2601,x2603,x2604,x2605,x2606),f71(x2602,x2603,x2604,x2605,x2606)) % 209.33/209.64 [261]~E(x2611,x2612)+E(f71(x2613,x2611,x2614,x2615,x2616),f71(x2613,x2612,x2614,x2615,x2616)) % 209.33/209.64 [262]~E(x2621,x2622)+E(f71(x2623,x2624,x2621,x2625,x2626),f71(x2623,x2624,x2622,x2625,x2626)) % 209.33/209.64 [263]~E(x2631,x2632)+E(f71(x2633,x2634,x2635,x2631,x2636),f71(x2633,x2634,x2635,x2632,x2636)) % 209.33/209.64 [264]~E(x2641,x2642)+E(f71(x2643,x2644,x2645,x2646,x2641),f71(x2643,x2644,x2645,x2646,x2642)) % 209.33/209.64 [265]~E(x2651,x2652)+E(f15(x2651,x2653),f15(x2652,x2653)) % 209.33/209.64 [266]~E(x2661,x2662)+E(f15(x2663,x2661),f15(x2663,x2662)) % 209.33/209.64 [267]~E(x2671,x2672)+E(f402(x2671,x2673,x2674),f402(x2672,x2673,x2674)) % 209.33/209.64 [268]~E(x2681,x2682)+E(f402(x2683,x2681,x2684),f402(x2683,x2682,x2684)) % 209.33/209.64 [269]~E(x2691,x2692)+E(f402(x2693,x2694,x2691),f402(x2693,x2694,x2692)) % 209.33/209.64 [270]~E(x2701,x2702)+E(f873(x2701,x2703,x2704),f873(x2702,x2703,x2704)) % 209.33/209.64 [271]~E(x2711,x2712)+E(f873(x2713,x2711,x2714),f873(x2713,x2712,x2714)) % 209.33/209.64 [272]~E(x2721,x2722)+E(f873(x2723,x2724,x2721),f873(x2723,x2724,x2722)) % 209.33/209.64 [273]~E(x2731,x2732)+E(f521(x2731,x2733,x2734,x2735,x2736,x2737,x2738),f521(x2732,x2733,x2734,x2735,x2736,x2737,x2738)) % 209.33/209.64 [274]~E(x2741,x2742)+E(f521(x2743,x2741,x2744,x2745,x2746,x2747,x2748),f521(x2743,x2742,x2744,x2745,x2746,x2747,x2748)) % 209.33/209.64 [275]~E(x2751,x2752)+E(f521(x2753,x2754,x2751,x2755,x2756,x2757,x2758),f521(x2753,x2754,x2752,x2755,x2756,x2757,x2758)) % 209.33/209.64 [276]~E(x2761,x2762)+E(f521(x2763,x2764,x2765,x2761,x2766,x2767,x2768),f521(x2763,x2764,x2765,x2762,x2766,x2767,x2768)) % 209.33/209.64 [277]~E(x2771,x2772)+E(f521(x2773,x2774,x2775,x2776,x2771,x2777,x2778),f521(x2773,x2774,x2775,x2776,x2772,x2777,x2778)) % 209.33/209.64 [278]~E(x2781,x2782)+E(f521(x2783,x2784,x2785,x2786,x2787,x2781,x2788),f521(x2783,x2784,x2785,x2786,x2787,x2782,x2788)) % 209.33/209.64 [279]~E(x2791,x2792)+E(f521(x2793,x2794,x2795,x2796,x2797,x2798,x2791),f521(x2793,x2794,x2795,x2796,x2797,x2798,x2792)) % 209.33/209.64 [280]~E(x2801,x2802)+E(f295(x2801),f295(x2802)) % 209.33/209.64 [281]~E(x2811,x2812)+E(f154(x2811,x2813),f154(x2812,x2813)) % 209.33/209.64 [282]~E(x2821,x2822)+E(f154(x2823,x2821),f154(x2823,x2822)) % 209.33/209.64 [283]~E(x2831,x2832)+E(f151(x2831,x2833),f151(x2832,x2833)) % 209.33/209.64 [284]~E(x2841,x2842)+E(f151(x2843,x2841),f151(x2843,x2842)) % 209.33/209.64 [285]~E(x2851,x2852)+E(f753(x2851,x2853),f753(x2852,x2853)) % 209.33/209.64 [286]~E(x2861,x2862)+E(f753(x2863,x2861),f753(x2863,x2862)) % 209.33/209.64 [287]~E(x2871,x2872)+E(f294(x2871,x2873),f294(x2872,x2873)) % 209.33/209.64 [288]~E(x2881,x2882)+E(f294(x2883,x2881),f294(x2883,x2882)) % 209.33/209.64 [289]~E(x2891,x2892)+E(f178(x2891),f178(x2892)) % 209.33/209.64 [290]~E(x2901,x2902)+E(f121(x2901,x2903),f121(x2902,x2903)) % 209.33/209.64 [291]~E(x2911,x2912)+E(f121(x2913,x2911),f121(x2913,x2912)) % 209.33/209.64 [292]~E(x2921,x2922)+E(f293(x2921,x2923,x2924),f293(x2922,x2923,x2924)) % 209.33/209.64 [293]~E(x2931,x2932)+E(f293(x2933,x2931,x2934),f293(x2933,x2932,x2934)) % 209.33/209.64 [294]~E(x2941,x2942)+E(f293(x2943,x2944,x2941),f293(x2943,x2944,x2942)) % 209.33/209.64 [295]~E(x2951,x2952)+E(f291(x2951),f291(x2952)) % 209.33/209.64 [296]~E(x2961,x2962)+E(f159(x2961,x2963),f159(x2962,x2963)) % 209.33/209.64 [297]~E(x2971,x2972)+E(f159(x2973,x2971),f159(x2973,x2972)) % 209.33/209.64 [298]~E(x2981,x2982)+E(f78(x2981,x2983,x2984,x2985),f78(x2982,x2983,x2984,x2985)) % 209.33/209.64 [299]~E(x2991,x2992)+E(f78(x2993,x2991,x2994,x2995),f78(x2993,x2992,x2994,x2995)) % 209.33/209.64 [300]~E(x3001,x3002)+E(f78(x3003,x3004,x3001,x3005),f78(x3003,x3004,x3002,x3005)) % 209.33/209.64 [301]~E(x3011,x3012)+E(f78(x3013,x3014,x3015,x3011),f78(x3013,x3014,x3015,x3012)) % 209.33/209.64 [302]~E(x3021,x3022)+E(f198(x3021),f198(x3022)) % 209.33/209.64 [303]~E(x3031,x3032)+E(f806(x3031,x3033),f806(x3032,x3033)) % 209.33/209.64 [304]~E(x3041,x3042)+E(f806(x3043,x3041),f806(x3043,x3042)) % 209.33/209.64 [305]~E(x3051,x3052)+E(f122(x3051),f122(x3052)) % 209.33/209.64 [306]~E(x3061,x3062)+E(f841(x3061),f841(x3062)) % 209.33/209.64 [307]~E(x3071,x3072)+E(f167(x3071,x3073),f167(x3072,x3073)) % 209.33/209.64 [308]~E(x3081,x3082)+E(f167(x3083,x3081),f167(x3083,x3082)) % 209.33/209.64 [309]~E(x3091,x3092)+E(f73(x3091,x3093,x3094),f73(x3092,x3093,x3094)) % 209.33/209.64 [310]~E(x3101,x3102)+E(f73(x3103,x3101,x3104),f73(x3103,x3102,x3104)) % 209.33/209.64 [311]~E(x3111,x3112)+E(f73(x3113,x3114,x3111),f73(x3113,x3114,x3112)) % 209.33/209.64 [312]~E(x3121,x3122)+E(f935(x3121,x3123),f935(x3122,x3123)) % 209.33/209.64 [313]~E(x3131,x3132)+E(f935(x3133,x3131),f935(x3133,x3132)) % 209.33/209.64 [314]~E(x3141,x3142)+E(f323(x3141,x3143),f323(x3142,x3143)) % 209.33/209.64 [315]~E(x3151,x3152)+E(f323(x3153,x3151),f323(x3153,x3152)) % 209.33/209.64 [316]~E(x3161,x3162)+E(f256(x3161,x3163),f256(x3162,x3163)) % 209.33/209.64 [317]~E(x3171,x3172)+E(f256(x3173,x3171),f256(x3173,x3172)) % 209.33/209.64 [318]~E(x3181,x3182)+E(f440(x3181,x3183,x3184,x3185),f440(x3182,x3183,x3184,x3185)) % 209.33/209.64 [319]~E(x3191,x3192)+E(f440(x3193,x3191,x3194,x3195),f440(x3193,x3192,x3194,x3195)) % 209.33/209.64 [320]~E(x3201,x3202)+E(f440(x3203,x3204,x3201,x3205),f440(x3203,x3204,x3202,x3205)) % 209.33/209.64 [321]~E(x3211,x3212)+E(f440(x3213,x3214,x3215,x3211),f440(x3213,x3214,x3215,x3212)) % 209.33/209.64 [322]~E(x3221,x3222)+E(f155(x3221,x3223,x3224),f155(x3222,x3223,x3224)) % 209.33/209.64 [323]~E(x3231,x3232)+E(f155(x3233,x3231,x3234),f155(x3233,x3232,x3234)) % 209.33/209.64 [324]~E(x3241,x3242)+E(f155(x3243,x3244,x3241),f155(x3243,x3244,x3242)) % 209.33/209.64 [325]~E(x3251,x3252)+E(f259(x3251,x3253),f259(x3252,x3253)) % 209.33/209.64 [326]~E(x3261,x3262)+E(f259(x3263,x3261),f259(x3263,x3262)) % 209.33/209.64 [327]~E(x3271,x3272)+E(f607(x3271,x3273,x3274,x3275),f607(x3272,x3273,x3274,x3275)) % 209.33/209.64 [328]~E(x3281,x3282)+E(f607(x3283,x3281,x3284,x3285),f607(x3283,x3282,x3284,x3285)) % 209.33/209.64 [329]~E(x3291,x3292)+E(f607(x3293,x3294,x3291,x3295),f607(x3293,x3294,x3292,x3295)) % 209.33/209.64 [330]~E(x3301,x3302)+E(f607(x3303,x3304,x3305,x3301),f607(x3303,x3304,x3305,x3302)) % 209.33/209.64 [331]~E(x3311,x3312)+E(f932(x3311,x3313),f932(x3312,x3313)) % 209.33/209.64 [332]~E(x3321,x3322)+E(f932(x3323,x3321),f932(x3323,x3322)) % 209.33/209.64 [333]~E(x3331,x3332)+E(f50(x3331,x3333,x3334),f50(x3332,x3333,x3334)) % 209.33/209.64 [334]~E(x3341,x3342)+E(f50(x3343,x3341,x3344),f50(x3343,x3342,x3344)) % 209.33/209.64 [335]~E(x3351,x3352)+E(f50(x3353,x3354,x3351),f50(x3353,x3354,x3352)) % 209.33/209.64 [336]~E(x3361,x3362)+E(f55(x3361,x3363),f55(x3362,x3363)) % 209.33/209.64 [337]~E(x3371,x3372)+E(f55(x3373,x3371),f55(x3373,x3372)) % 209.33/209.64 [338]~E(x3381,x3382)+E(f266(x3381,x3383,x3384,x3385,x3386,x3387),f266(x3382,x3383,x3384,x3385,x3386,x3387)) % 209.33/209.64 [339]~E(x3391,x3392)+E(f266(x3393,x3391,x3394,x3395,x3396,x3397),f266(x3393,x3392,x3394,x3395,x3396,x3397)) % 209.33/209.64 [340]~E(x3401,x3402)+E(f266(x3403,x3404,x3401,x3405,x3406,x3407),f266(x3403,x3404,x3402,x3405,x3406,x3407)) % 209.33/209.64 [341]~E(x3411,x3412)+E(f266(x3413,x3414,x3415,x3411,x3416,x3417),f266(x3413,x3414,x3415,x3412,x3416,x3417)) % 209.33/209.64 [342]~E(x3421,x3422)+E(f266(x3423,x3424,x3425,x3426,x3421,x3427),f266(x3423,x3424,x3425,x3426,x3422,x3427)) % 209.33/209.64 [343]~E(x3431,x3432)+E(f266(x3433,x3434,x3435,x3436,x3437,x3431),f266(x3433,x3434,x3435,x3436,x3437,x3432)) % 209.33/209.64 [344]~E(x3441,x3442)+E(f161(x3441,x3443),f161(x3442,x3443)) % 209.33/209.64 [345]~E(x3451,x3452)+E(f161(x3453,x3451),f161(x3453,x3452)) % 209.33/209.64 [346]~E(x3461,x3462)+E(f667(x3461,x3463,x3464,x3465,x3466,x3467),f667(x3462,x3463,x3464,x3465,x3466,x3467)) % 209.33/209.64 [347]~E(x3471,x3472)+E(f667(x3473,x3471,x3474,x3475,x3476,x3477),f667(x3473,x3472,x3474,x3475,x3476,x3477)) % 209.33/209.64 [348]~E(x3481,x3482)+E(f667(x3483,x3484,x3481,x3485,x3486,x3487),f667(x3483,x3484,x3482,x3485,x3486,x3487)) % 209.33/209.64 [349]~E(x3491,x3492)+E(f667(x3493,x3494,x3495,x3491,x3496,x3497),f667(x3493,x3494,x3495,x3492,x3496,x3497)) % 209.33/209.64 [350]~E(x3501,x3502)+E(f667(x3503,x3504,x3505,x3506,x3501,x3507),f667(x3503,x3504,x3505,x3506,x3502,x3507)) % 209.33/209.64 [351]~E(x3511,x3512)+E(f667(x3513,x3514,x3515,x3516,x3517,x3511),f667(x3513,x3514,x3515,x3516,x3517,x3512)) % 209.33/209.64 [352]~E(x3521,x3522)+E(f842(x3521,x3523,x3524),f842(x3522,x3523,x3524)) % 209.33/209.64 [353]~E(x3531,x3532)+E(f842(x3533,x3531,x3534),f842(x3533,x3532,x3534)) % 209.33/209.64 [354]~E(x3541,x3542)+E(f842(x3543,x3544,x3541),f842(x3543,x3544,x3542)) % 209.33/209.64 [355]~E(x3551,x3552)+E(f346(x3551,x3553,x3554,x3555),f346(x3552,x3553,x3554,x3555)) % 209.33/209.64 [356]~E(x3561,x3562)+E(f346(x3563,x3561,x3564,x3565),f346(x3563,x3562,x3564,x3565)) % 209.33/209.64 [357]~E(x3571,x3572)+E(f346(x3573,x3574,x3571,x3575),f346(x3573,x3574,x3572,x3575)) % 209.33/209.64 [358]~E(x3581,x3582)+E(f346(x3583,x3584,x3585,x3581),f346(x3583,x3584,x3585,x3582)) % 209.33/209.64 [359]~E(x3591,x3592)+E(f868(x3591,x3593,x3594),f868(x3592,x3593,x3594)) % 209.33/209.64 [360]~E(x3601,x3602)+E(f868(x3603,x3601,x3604),f868(x3603,x3602,x3604)) % 209.33/209.64 [361]~E(x3611,x3612)+E(f868(x3613,x3614,x3611),f868(x3613,x3614,x3612)) % 209.33/209.64 [362]~E(x3621,x3622)+E(f324(x3621,x3623),f324(x3622,x3623)) % 209.33/209.64 [363]~E(x3631,x3632)+E(f324(x3633,x3631),f324(x3633,x3632)) % 209.33/209.64 [364]~E(x3641,x3642)+E(f29(x3641,x3643,x3644),f29(x3642,x3643,x3644)) % 209.33/209.64 [365]~E(x3651,x3652)+E(f29(x3653,x3651,x3654),f29(x3653,x3652,x3654)) % 209.33/209.64 [366]~E(x3661,x3662)+E(f29(x3663,x3664,x3661),f29(x3663,x3664,x3662)) % 209.33/209.64 [367]~E(x3671,x3672)+E(f349(x3671,x3673),f349(x3672,x3673)) % 209.33/209.64 [368]~E(x3681,x3682)+E(f349(x3683,x3681),f349(x3683,x3682)) % 209.33/209.64 [369]~E(x3691,x3692)+E(f165(x3691,x3693),f165(x3692,x3693)) % 209.33/209.64 [370]~E(x3701,x3702)+E(f165(x3703,x3701),f165(x3703,x3702)) % 209.33/209.64 [371]~E(x3711,x3712)+E(f874(x3711,x3713,x3714),f874(x3712,x3713,x3714)) % 209.33/209.64 [372]~E(x3721,x3722)+E(f874(x3723,x3721,x3724),f874(x3723,x3722,x3724)) % 209.33/209.64 [373]~E(x3731,x3732)+E(f874(x3733,x3734,x3731),f874(x3733,x3734,x3732)) % 209.33/209.64 [374]~E(x3741,x3742)+E(f316(x3741),f316(x3742)) % 209.33/209.64 [375]~E(x3751,x3752)+E(f182(x3751),f182(x3752)) % 209.33/209.64 [376]~E(x3761,x3762)+E(f236(x3761,x3763),f236(x3762,x3763)) % 209.33/209.64 [377]~E(x3771,x3772)+E(f236(x3773,x3771),f236(x3773,x3772)) % 209.33/209.64 [378]~E(x3781,x3782)+E(f27(x3781,x3783),f27(x3782,x3783)) % 209.33/209.64 [379]~E(x3791,x3792)+E(f27(x3793,x3791),f27(x3793,x3792)) % 209.33/209.64 [380]~E(x3801,x3802)+E(f286(x3801),f286(x3802)) % 209.33/209.64 [381]~E(x3811,x3812)+E(f52(x3811,x3813),f52(x3812,x3813)) % 209.33/209.64 [382]~E(x3821,x3822)+E(f52(x3823,x3821),f52(x3823,x3822)) % 209.33/209.64 [383]~E(x3831,x3832)+E(f211(x3831,x3833),f211(x3832,x3833)) % 209.33/209.64 [384]~E(x3841,x3842)+E(f211(x3843,x3841),f211(x3843,x3842)) % 209.33/209.64 [385]~E(x3851,x3852)+E(f326(x3851,x3853),f326(x3852,x3853)) % 209.33/209.64 [386]~E(x3861,x3862)+E(f326(x3863,x3861),f326(x3863,x3862)) % 209.33/209.64 [387]~E(x3871,x3872)+E(f619(x3871,x3873,x3874,x3875,x3876),f619(x3872,x3873,x3874,x3875,x3876)) % 209.33/209.64 [388]~E(x3881,x3882)+E(f619(x3883,x3881,x3884,x3885,x3886),f619(x3883,x3882,x3884,x3885,x3886)) % 209.33/209.64 [389]~E(x3891,x3892)+E(f619(x3893,x3894,x3891,x3895,x3896),f619(x3893,x3894,x3892,x3895,x3896)) % 209.33/209.64 [390]~E(x3901,x3902)+E(f619(x3903,x3904,x3905,x3901,x3906),f619(x3903,x3904,x3905,x3902,x3906)) % 209.33/209.64 [391]~E(x3911,x3912)+E(f619(x3913,x3914,x3915,x3916,x3911),f619(x3913,x3914,x3915,x3916,x3912)) % 209.33/209.64 [392]~E(x3921,x3922)+E(f328(x3921,x3923),f328(x3922,x3923)) % 209.33/209.64 [393]~E(x3931,x3932)+E(f328(x3933,x3931),f328(x3933,x3932)) % 209.33/209.64 [394]~E(x3941,x3942)+E(f614(x3941,x3943,x3944,x3945,x3946,x3947),f614(x3942,x3943,x3944,x3945,x3946,x3947)) % 209.33/209.64 [395]~E(x3951,x3952)+E(f614(x3953,x3951,x3954,x3955,x3956,x3957),f614(x3953,x3952,x3954,x3955,x3956,x3957)) % 209.33/209.64 [396]~E(x3961,x3962)+E(f614(x3963,x3964,x3961,x3965,x3966,x3967),f614(x3963,x3964,x3962,x3965,x3966,x3967)) % 209.33/209.64 [397]~E(x3971,x3972)+E(f614(x3973,x3974,x3975,x3971,x3976,x3977),f614(x3973,x3974,x3975,x3972,x3976,x3977)) % 209.33/209.64 [398]~E(x3981,x3982)+E(f614(x3983,x3984,x3985,x3986,x3981,x3987),f614(x3983,x3984,x3985,x3986,x3982,x3987)) % 209.33/209.64 [399]~E(x3991,x3992)+E(f614(x3993,x3994,x3995,x3996,x3997,x3991),f614(x3993,x3994,x3995,x3996,x3997,x3992)) % 209.33/209.64 [400]~E(x4001,x4002)+E(f164(x4001,x4003),f164(x4002,x4003)) % 209.33/209.64 [401]~E(x4011,x4012)+E(f164(x4013,x4011),f164(x4013,x4012)) % 209.33/209.64 [402]~E(x4021,x4022)+E(f69(x4021,x4023,x4024),f69(x4022,x4023,x4024)) % 209.33/209.64 [403]~E(x4031,x4032)+E(f69(x4033,x4031,x4034),f69(x4033,x4032,x4034)) % 209.33/209.64 [404]~E(x4041,x4042)+E(f69(x4043,x4044,x4041),f69(x4043,x4044,x4042)) % 209.33/209.64 [405]~E(x4051,x4052)+E(f177(x4051,x4053,x4054),f177(x4052,x4053,x4054)) % 209.33/209.64 [406]~E(x4061,x4062)+E(f177(x4063,x4061,x4064),f177(x4063,x4062,x4064)) % 209.33/209.64 [407]~E(x4071,x4072)+E(f177(x4073,x4074,x4071),f177(x4073,x4074,x4072)) % 209.33/209.64 [408]~E(x4081,x4082)+E(f11(x4081,x4083,x4084),f11(x4082,x4083,x4084)) % 209.33/209.64 [409]~E(x4091,x4092)+E(f11(x4093,x4091,x4094),f11(x4093,x4092,x4094)) % 209.33/209.64 [410]~E(x4101,x4102)+E(f11(x4103,x4104,x4101),f11(x4103,x4104,x4102)) % 209.33/209.64 [411]~E(x4111,x4112)+E(f16(x4111,x4113),f16(x4112,x4113)) % 209.33/209.64 [412]~E(x4121,x4122)+E(f16(x4123,x4121),f16(x4123,x4122)) % 209.33/209.64 [413]~E(x4131,x4132)+E(f677(x4131,x4133,x4134,x4135,x4136),f677(x4132,x4133,x4134,x4135,x4136)) % 209.33/209.64 [414]~E(x4141,x4142)+E(f677(x4143,x4141,x4144,x4145,x4146),f677(x4143,x4142,x4144,x4145,x4146)) % 209.33/209.64 [415]~E(x4151,x4152)+E(f677(x4153,x4154,x4151,x4155,x4156),f677(x4153,x4154,x4152,x4155,x4156)) % 209.33/209.64 [416]~E(x4161,x4162)+E(f677(x4163,x4164,x4165,x4161,x4166),f677(x4163,x4164,x4165,x4162,x4166)) % 209.33/209.64 [417]~E(x4171,x4172)+E(f677(x4173,x4174,x4175,x4176,x4171),f677(x4173,x4174,x4175,x4176,x4172)) % 209.33/209.64 [418]~E(x4181,x4182)+E(f867(x4181,x4183,x4184),f867(x4182,x4183,x4184)) % 209.33/209.64 [419]~E(x4191,x4192)+E(f867(x4193,x4191,x4194),f867(x4193,x4192,x4194)) % 209.33/209.64 [420]~E(x4201,x4202)+E(f867(x4203,x4204,x4201),f867(x4203,x4204,x4202)) % 209.33/209.64 [421]~E(x4211,x4212)+E(f289(x4211),f289(x4212)) % 209.33/209.64 [422]~E(x4221,x4222)+E(f813(x4221,x4223),f813(x4222,x4223)) % 209.33/209.64 [423]~E(x4231,x4232)+E(f813(x4233,x4231),f813(x4233,x4232)) % 209.33/209.64 [424]~E(x4241,x4242)+E(f190(x4241,x4243),f190(x4242,x4243)) % 209.33/209.64 [425]~E(x4251,x4252)+E(f190(x4253,x4251),f190(x4253,x4252)) % 209.33/209.64 [426]~E(x4261,x4262)+E(f218(x4261,x4263,x4264,x4265),f218(x4262,x4263,x4264,x4265)) % 209.33/209.64 [427]~E(x4271,x4272)+E(f218(x4273,x4271,x4274,x4275),f218(x4273,x4272,x4274,x4275)) % 209.33/209.64 [428]~E(x4281,x4282)+E(f218(x4283,x4284,x4281,x4285),f218(x4283,x4284,x4282,x4285)) % 209.33/209.64 [429]~E(x4291,x4292)+E(f218(x4293,x4294,x4295,x4291),f218(x4293,x4294,x4295,x4292)) % 209.33/209.64 [430]~E(x4301,x4302)+E(f278(x4301,x4303),f278(x4302,x4303)) % 209.33/209.64 [431]~E(x4311,x4312)+E(f278(x4313,x4311),f278(x4313,x4312)) % 209.33/209.64 [432]~E(x4321,x4322)+E(f491(x4321,x4323,x4324),f491(x4322,x4323,x4324)) % 209.33/209.64 [433]~E(x4331,x4332)+E(f491(x4333,x4331,x4334),f491(x4333,x4332,x4334)) % 209.33/209.64 [434]~E(x4341,x4342)+E(f491(x4343,x4344,x4341),f491(x4343,x4344,x4342)) % 209.33/209.64 [435]~E(x4351,x4352)+E(f126(x4351),f126(x4352)) % 209.33/209.64 [436]~E(x4361,x4362)+E(f127(x4361,x4363),f127(x4362,x4363)) % 209.33/209.64 [437]~E(x4371,x4372)+E(f127(x4373,x4371),f127(x4373,x4372)) % 209.33/209.64 [438]~E(x4381,x4382)+E(f221(x4381),f221(x4382)) % 209.33/209.64 [439]~E(x4391,x4392)+E(f688(x4391,x4393,x4394,x4395),f688(x4392,x4393,x4394,x4395)) % 209.33/209.64 [440]~E(x4401,x4402)+E(f688(x4403,x4401,x4404,x4405),f688(x4403,x4402,x4404,x4405)) % 209.33/209.64 [441]~E(x4411,x4412)+E(f688(x4413,x4414,x4411,x4415),f688(x4413,x4414,x4412,x4415)) % 209.33/209.64 [442]~E(x4421,x4422)+E(f688(x4423,x4424,x4425,x4421),f688(x4423,x4424,x4425,x4422)) % 209.33/209.64 [443]~E(x4431,x4432)+E(f97(x4431,x4433,x4434,x4435),f97(x4432,x4433,x4434,x4435)) % 209.33/209.64 [444]~E(x4441,x4442)+E(f97(x4443,x4441,x4444,x4445),f97(x4443,x4442,x4444,x4445)) % 209.33/209.64 [445]~E(x4451,x4452)+E(f97(x4453,x4454,x4451,x4455),f97(x4453,x4454,x4452,x4455)) % 209.33/209.64 [446]~E(x4461,x4462)+E(f97(x4463,x4464,x4465,x4461),f97(x4463,x4464,x4465,x4462)) % 209.33/209.64 [447]~E(x4471,x4472)+E(f81(x4471),f81(x4472)) % 209.33/209.64 [448]~E(x4481,x4482)+E(f387(x4481,x4483,x4484,x4485,x4486),f387(x4482,x4483,x4484,x4485,x4486)) % 209.33/209.64 [449]~E(x4491,x4492)+E(f387(x4493,x4491,x4494,x4495,x4496),f387(x4493,x4492,x4494,x4495,x4496)) % 209.33/209.64 [450]~E(x4501,x4502)+E(f387(x4503,x4504,x4501,x4505,x4506),f387(x4503,x4504,x4502,x4505,x4506)) % 209.33/209.64 [451]~E(x4511,x4512)+E(f387(x4513,x4514,x4515,x4511,x4516),f387(x4513,x4514,x4515,x4512,x4516)) % 209.33/209.64 [452]~E(x4521,x4522)+E(f387(x4523,x4524,x4525,x4526,x4521),f387(x4523,x4524,x4525,x4526,x4522)) % 209.33/209.64 [453]~E(x4531,x4532)+E(f452(x4531,x4533),f452(x4532,x4533)) % 209.33/209.64 [454]~E(x4541,x4542)+E(f452(x4543,x4541),f452(x4543,x4542)) % 209.33/209.64 [455]~E(x4551,x4552)+E(f96(x4551,x4553),f96(x4552,x4553)) % 209.33/209.64 [456]~E(x4561,x4562)+E(f96(x4563,x4561),f96(x4563,x4562)) % 209.33/209.64 [457]~E(x4571,x4572)+E(f185(x4571,x4573),f185(x4572,x4573)) % 209.33/209.64 [458]~E(x4581,x4582)+E(f185(x4583,x4581),f185(x4583,x4582)) % 209.33/209.64 [459]~E(x4591,x4592)+E(f160(x4591,x4593),f160(x4592,x4593)) % 209.33/209.64 [460]~E(x4601,x4602)+E(f160(x4603,x4601),f160(x4603,x4602)) % 209.33/209.64 [461]~E(x4611,x4612)+E(f271(x4611,x4613),f271(x4612,x4613)) % 209.33/209.64 [462]~E(x4621,x4622)+E(f271(x4623,x4621),f271(x4623,x4622)) % 209.33/209.64 [463]~E(x4631,x4632)+E(f10(x4631,x4633),f10(x4632,x4633)) % 209.33/209.64 [464]~E(x4641,x4642)+E(f10(x4643,x4641),f10(x4643,x4642)) % 209.33/209.64 [465]~E(x4651,x4652)+E(f172(x4651),f172(x4652)) % 209.33/209.64 [466]~E(x4661,x4662)+E(f103(x4661),f103(x4662)) % 209.33/209.64 [467]~E(x4671,x4672)+E(f297(x4671,x4673,x4674),f297(x4672,x4673,x4674)) % 209.33/209.64 [468]~E(x4681,x4682)+E(f297(x4683,x4681,x4684),f297(x4683,x4682,x4684)) % 209.33/209.64 [469]~E(x4691,x4692)+E(f297(x4693,x4694,x4691),f297(x4693,x4694,x4692)) % 209.33/209.64 [470]~E(x4701,x4702)+E(f547(x4701,x4703,x4704,x4705,x4706),f547(x4702,x4703,x4704,x4705,x4706)) % 209.33/209.64 [471]~E(x4711,x4712)+E(f547(x4713,x4711,x4714,x4715,x4716),f547(x4713,x4712,x4714,x4715,x4716)) % 209.33/209.64 [472]~E(x4721,x4722)+E(f547(x4723,x4724,x4721,x4725,x4726),f547(x4723,x4724,x4722,x4725,x4726)) % 209.33/209.64 [473]~E(x4731,x4732)+E(f547(x4733,x4734,x4735,x4731,x4736),f547(x4733,x4734,x4735,x4732,x4736)) % 209.33/209.64 [474]~E(x4741,x4742)+E(f547(x4743,x4744,x4745,x4746,x4741),f547(x4743,x4744,x4745,x4746,x4742)) % 209.33/209.64 [475]~E(x4751,x4752)+E(f206(x4751,x4753,x4754,x4755),f206(x4752,x4753,x4754,x4755)) % 209.33/209.64 [476]~E(x4761,x4762)+E(f206(x4763,x4761,x4764,x4765),f206(x4763,x4762,x4764,x4765)) % 209.33/209.64 [477]~E(x4771,x4772)+E(f206(x4773,x4774,x4771,x4775),f206(x4773,x4774,x4772,x4775)) % 209.33/209.64 [478]~E(x4781,x4782)+E(f206(x4783,x4784,x4785,x4781),f206(x4783,x4784,x4785,x4782)) % 209.33/209.64 [479]~E(x4791,x4792)+E(f290(x4791),f290(x4792)) % 209.33/209.64 [480]~E(x4801,x4802)+E(f275(x4801),f275(x4802)) % 209.33/209.64 [481]~E(x4811,x4812)+E(f760(x4811,x4813),f760(x4812,x4813)) % 209.33/209.64 [482]~E(x4821,x4822)+E(f760(x4823,x4821),f760(x4823,x4822)) % 209.33/209.64 [483]~E(x4831,x4832)+E(f698(x4831,x4833,x4834),f698(x4832,x4833,x4834)) % 209.33/209.64 [484]~E(x4841,x4842)+E(f698(x4843,x4841,x4844),f698(x4843,x4842,x4844)) % 209.33/209.64 [485]~E(x4851,x4852)+E(f698(x4853,x4854,x4851),f698(x4853,x4854,x4852)) % 209.33/209.64 [486]~E(x4861,x4862)+E(f224(x4861,x4863),f224(x4862,x4863)) % 209.33/209.64 [487]~E(x4871,x4872)+E(f224(x4873,x4871),f224(x4873,x4872)) % 209.33/209.64 [488]~E(x4881,x4882)+E(f180(x4881,x4883,x4884),f180(x4882,x4883,x4884)) % 209.33/209.64 [489]~E(x4891,x4892)+E(f180(x4893,x4891,x4894),f180(x4893,x4892,x4894)) % 209.33/209.64 [490]~E(x4901,x4902)+E(f180(x4903,x4904,x4901),f180(x4903,x4904,x4902)) % 209.33/209.64 [491]~E(x4911,x4912)+E(f13(x4911,x4913),f13(x4912,x4913)) % 209.33/209.64 [492]~E(x4921,x4922)+E(f13(x4923,x4921),f13(x4923,x4922)) % 209.33/209.64 [493]~E(x4931,x4932)+E(f484(x4931,x4933,x4934,x4935,x4936),f484(x4932,x4933,x4934,x4935,x4936)) % 209.33/209.64 [494]~E(x4941,x4942)+E(f484(x4943,x4941,x4944,x4945,x4946),f484(x4943,x4942,x4944,x4945,x4946)) % 209.33/209.64 [495]~E(x4951,x4952)+E(f484(x4953,x4954,x4951,x4955,x4956),f484(x4953,x4954,x4952,x4955,x4956)) % 209.33/209.64 [496]~E(x4961,x4962)+E(f484(x4963,x4964,x4965,x4961,x4966),f484(x4963,x4964,x4965,x4962,x4966)) % 209.33/209.64 [497]~E(x4971,x4972)+E(f484(x4973,x4974,x4975,x4976,x4971),f484(x4973,x4974,x4975,x4976,x4972)) % 209.33/209.64 [498]~E(x4981,x4982)+E(f168(x4981,x4983),f168(x4982,x4983)) % 209.33/209.64 [499]~E(x4991,x4992)+E(f168(x4993,x4991),f168(x4993,x4992)) % 209.33/209.64 [500]~E(x5001,x5002)+E(f313(x5001,x5003,x5004),f313(x5002,x5003,x5004)) % 209.33/209.64 [501]~E(x5011,x5012)+E(f313(x5013,x5011,x5014),f313(x5013,x5012,x5014)) % 209.33/209.64 [502]~E(x5021,x5022)+E(f313(x5023,x5024,x5021),f313(x5023,x5024,x5022)) % 209.33/209.64 [503]~E(x5031,x5032)+E(f840(x5031,x5033),f840(x5032,x5033)) % 209.33/209.64 [504]~E(x5041,x5042)+E(f840(x5043,x5041),f840(x5043,x5042)) % 209.33/209.64 [505]~E(x5051,x5052)+E(f12(x5051,x5053,x5054),f12(x5052,x5053,x5054)) % 209.33/209.64 [506]~E(x5061,x5062)+E(f12(x5063,x5061,x5064),f12(x5063,x5062,x5064)) % 209.33/209.64 [507]~E(x5071,x5072)+E(f12(x5073,x5074,x5071),f12(x5073,x5074,x5072)) % 209.33/209.64 [508]~E(x5081,x5082)+E(f659(x5081,x5083,x5084,x5085,x5086,x5087),f659(x5082,x5083,x5084,x5085,x5086,x5087)) % 209.33/209.64 [509]~E(x5091,x5092)+E(f659(x5093,x5091,x5094,x5095,x5096,x5097),f659(x5093,x5092,x5094,x5095,x5096,x5097)) % 209.33/209.64 [510]~E(x5101,x5102)+E(f659(x5103,x5104,x5101,x5105,x5106,x5107),f659(x5103,x5104,x5102,x5105,x5106,x5107)) % 209.33/209.64 [511]~E(x5111,x5112)+E(f659(x5113,x5114,x5115,x5111,x5116,x5117),f659(x5113,x5114,x5115,x5112,x5116,x5117)) % 209.33/209.64 [512]~E(x5121,x5122)+E(f659(x5123,x5124,x5125,x5126,x5121,x5127),f659(x5123,x5124,x5125,x5126,x5122,x5127)) % 209.33/209.64 [513]~E(x5131,x5132)+E(f659(x5133,x5134,x5135,x5136,x5137,x5131),f659(x5133,x5134,x5135,x5136,x5137,x5132)) % 209.33/209.64 [514]~E(x5141,x5142)+E(f624(x5141,x5143,x5144,x5145,x5146),f624(x5142,x5143,x5144,x5145,x5146)) % 209.33/209.64 [515]~E(x5151,x5152)+E(f624(x5153,x5151,x5154,x5155,x5156),f624(x5153,x5152,x5154,x5155,x5156)) % 209.33/209.64 [516]~E(x5161,x5162)+E(f624(x5163,x5164,x5161,x5165,x5166),f624(x5163,x5164,x5162,x5165,x5166)) % 209.33/209.64 [517]~E(x5171,x5172)+E(f624(x5173,x5174,x5175,x5171,x5176),f624(x5173,x5174,x5175,x5172,x5176)) % 209.33/209.64 [518]~E(x5181,x5182)+E(f624(x5183,x5184,x5185,x5186,x5181),f624(x5183,x5184,x5185,x5186,x5182)) % 209.33/209.64 [519]~E(x5191,x5192)+E(f327(x5191,x5193,x5194,x5195),f327(x5192,x5193,x5194,x5195)) % 209.33/209.64 [520]~E(x5201,x5202)+E(f327(x5203,x5201,x5204,x5205),f327(x5203,x5202,x5204,x5205)) % 209.33/209.64 [521]~E(x5211,x5212)+E(f327(x5213,x5214,x5211,x5215),f327(x5213,x5214,x5212,x5215)) % 209.33/209.64 [522]~E(x5221,x5222)+E(f327(x5223,x5224,x5225,x5221),f327(x5223,x5224,x5225,x5222)) % 209.33/209.64 [523]~E(x5231,x5232)+E(f764(x5231,x5233,x5234,x5235,x5236),f764(x5232,x5233,x5234,x5235,x5236)) % 209.33/209.64 [524]~E(x5241,x5242)+E(f764(x5243,x5241,x5244,x5245,x5246),f764(x5243,x5242,x5244,x5245,x5246)) % 209.33/209.64 [525]~E(x5251,x5252)+E(f764(x5253,x5254,x5251,x5255,x5256),f764(x5253,x5254,x5252,x5255,x5256)) % 209.33/209.64 [526]~E(x5261,x5262)+E(f764(x5263,x5264,x5265,x5261,x5266),f764(x5263,x5264,x5265,x5262,x5266)) % 209.33/209.64 [527]~E(x5271,x5272)+E(f764(x5273,x5274,x5275,x5276,x5271),f764(x5273,x5274,x5275,x5276,x5272)) % 209.33/209.64 [528]~E(x5281,x5282)+E(f650(x5281,x5283,x5284,x5285),f650(x5282,x5283,x5284,x5285)) % 209.33/209.64 [529]~E(x5291,x5292)+E(f650(x5293,x5291,x5294,x5295),f650(x5293,x5292,x5294,x5295)) % 209.33/209.64 [530]~E(x5301,x5302)+E(f650(x5303,x5304,x5301,x5305),f650(x5303,x5304,x5302,x5305)) % 209.33/209.64 [531]~E(x5311,x5312)+E(f650(x5313,x5314,x5315,x5311),f650(x5313,x5314,x5315,x5312)) % 209.33/209.64 [532]~E(x5321,x5322)+E(f312(x5321),f312(x5322)) % 209.33/209.64 [533]~E(x5331,x5332)+E(f831(x5331),f831(x5332)) % 209.33/209.64 [534]~E(x5341,x5342)+E(f272(x5341,x5343),f272(x5342,x5343)) % 209.33/209.64 [535]~E(x5351,x5352)+E(f272(x5353,x5351),f272(x5353,x5352)) % 209.33/209.64 [536]~E(x5361,x5362)+E(f93(x5361),f93(x5362)) % 209.33/209.64 [537]~E(x5371,x5372)+E(f672(x5371,x5373,x5374),f672(x5372,x5373,x5374)) % 209.33/209.64 [538]~E(x5381,x5382)+E(f672(x5383,x5381,x5384),f672(x5383,x5382,x5384)) % 209.33/209.64 [539]~E(x5391,x5392)+E(f672(x5393,x5394,x5391),f672(x5393,x5394,x5392)) % 209.33/209.64 [540]~E(x5401,x5402)+E(f322(x5401),f322(x5402)) % 209.33/209.64 [541]~E(x5411,x5412)+E(f552(x5411,x5413,x5414,x5415,x5416),f552(x5412,x5413,x5414,x5415,x5416)) % 209.33/209.64 [542]~E(x5421,x5422)+E(f552(x5423,x5421,x5424,x5425,x5426),f552(x5423,x5422,x5424,x5425,x5426)) % 209.33/209.64 [543]~E(x5431,x5432)+E(f552(x5433,x5434,x5431,x5435,x5436),f552(x5433,x5434,x5432,x5435,x5436)) % 209.33/209.64 [544]~E(x5441,x5442)+E(f552(x5443,x5444,x5445,x5441,x5446),f552(x5443,x5444,x5445,x5442,x5446)) % 209.33/209.64 [545]~E(x5451,x5452)+E(f552(x5453,x5454,x5455,x5456,x5451),f552(x5453,x5454,x5455,x5456,x5452)) % 209.33/209.64 [546]~E(x5461,x5462)+E(f283(x5461,x5463),f283(x5462,x5463)) % 209.33/209.64 [547]~E(x5471,x5472)+E(f283(x5473,x5471),f283(x5473,x5472)) % 209.33/209.64 [548]~E(x5481,x5482)+E(f404(x5481,x5483,x5484),f404(x5482,x5483,x5484)) % 209.33/209.64 [549]~E(x5491,x5492)+E(f404(x5493,x5491,x5494),f404(x5493,x5492,x5494)) % 209.33/209.64 [550]~E(x5501,x5502)+E(f404(x5503,x5504,x5501),f404(x5503,x5504,x5502)) % 209.33/209.64 [551]~E(x5511,x5512)+E(f859(x5511,x5513,x5514,x5515,x5516,x5517,x5518,x5519),f859(x5512,x5513,x5514,x5515,x5516,x5517,x5518,x5519)) % 209.33/209.64 [552]~E(x5521,x5522)+E(f859(x5523,x5521,x5524,x5525,x5526,x5527,x5528,x5529),f859(x5523,x5522,x5524,x5525,x5526,x5527,x5528,x5529)) % 209.33/209.64 [553]~E(x5531,x5532)+E(f859(x5533,x5534,x5531,x5535,x5536,x5537,x5538,x5539),f859(x5533,x5534,x5532,x5535,x5536,x5537,x5538,x5539)) % 209.33/209.64 [554]~E(x5541,x5542)+E(f859(x5543,x5544,x5545,x5541,x5546,x5547,x5548,x5549),f859(x5543,x5544,x5545,x5542,x5546,x5547,x5548,x5549)) % 209.33/209.64 [555]~E(x5551,x5552)+E(f859(x5553,x5554,x5555,x5556,x5551,x5557,x5558,x5559),f859(x5553,x5554,x5555,x5556,x5552,x5557,x5558,x5559)) % 209.33/209.64 [556]~E(x5561,x5562)+E(f859(x5563,x5564,x5565,x5566,x5567,x5561,x5568,x5569),f859(x5563,x5564,x5565,x5566,x5567,x5562,x5568,x5569)) % 209.33/209.64 [557]~E(x5571,x5572)+E(f859(x5573,x5574,x5575,x5576,x5577,x5578,x5571,x5579),f859(x5573,x5574,x5575,x5576,x5577,x5578,x5572,x5579)) % 209.33/209.64 [558]~E(x5581,x5582)+E(f859(x5583,x5584,x5585,x5586,x5587,x5588,x5589,x5581),f859(x5583,x5584,x5585,x5586,x5587,x5588,x5589,x5582)) % 209.33/209.64 [559]~E(x5591,x5592)+E(f518(x5591,x5593,x5594,x5595),f518(x5592,x5593,x5594,x5595)) % 209.33/209.64 [560]~E(x5601,x5602)+E(f518(x5603,x5601,x5604,x5605),f518(x5603,x5602,x5604,x5605)) % 209.33/209.64 [561]~E(x5611,x5612)+E(f518(x5613,x5614,x5611,x5615),f518(x5613,x5614,x5612,x5615)) % 209.33/209.64 [562]~E(x5621,x5622)+E(f518(x5623,x5624,x5625,x5621),f518(x5623,x5624,x5625,x5622)) % 209.33/209.64 [563]~E(x5631,x5632)+E(f571(x5631,x5633,x5634,x5635),f571(x5632,x5633,x5634,x5635)) % 209.33/209.64 [564]~E(x5641,x5642)+E(f571(x5643,x5641,x5644,x5645),f571(x5643,x5642,x5644,x5645)) % 209.33/209.64 [565]~E(x5651,x5652)+E(f571(x5653,x5654,x5651,x5655),f571(x5653,x5654,x5652,x5655)) % 209.33/209.64 [566]~E(x5661,x5662)+E(f571(x5663,x5664,x5665,x5661),f571(x5663,x5664,x5665,x5662)) % 209.33/209.64 [567]~E(x5671,x5672)+E(f837(x5671,x5673,x5674,x5675,x5676,x5677),f837(x5672,x5673,x5674,x5675,x5676,x5677)) % 209.33/209.64 [568]~E(x5681,x5682)+E(f837(x5683,x5681,x5684,x5685,x5686,x5687),f837(x5683,x5682,x5684,x5685,x5686,x5687)) % 209.33/209.64 [569]~E(x5691,x5692)+E(f837(x5693,x5694,x5691,x5695,x5696,x5697),f837(x5693,x5694,x5692,x5695,x5696,x5697)) % 209.33/209.64 [570]~E(x5701,x5702)+E(f837(x5703,x5704,x5705,x5701,x5706,x5707),f837(x5703,x5704,x5705,x5702,x5706,x5707)) % 209.33/209.64 [571]~E(x5711,x5712)+E(f837(x5713,x5714,x5715,x5716,x5711,x5717),f837(x5713,x5714,x5715,x5716,x5712,x5717)) % 209.33/209.64 [572]~E(x5721,x5722)+E(f837(x5723,x5724,x5725,x5726,x5727,x5721),f837(x5723,x5724,x5725,x5726,x5727,x5722)) % 209.33/209.64 [573]~E(x5731,x5732)+E(f528(x5731,x5733),f528(x5732,x5733)) % 209.33/209.64 [574]~E(x5741,x5742)+E(f528(x5743,x5741),f528(x5743,x5742)) % 209.33/209.64 [575]~E(x5751,x5752)+E(f872(x5751,x5753,x5754),f872(x5752,x5753,x5754)) % 209.33/209.64 [576]~E(x5761,x5762)+E(f872(x5763,x5761,x5764),f872(x5763,x5762,x5764)) % 209.33/209.64 [577]~E(x5771,x5772)+E(f872(x5773,x5774,x5771),f872(x5773,x5774,x5772)) % 209.33/209.64 [578]~E(x5781,x5782)+E(f309(x5781),f309(x5782)) % 209.33/209.64 [579]~E(x5791,x5792)+E(f517(x5791,x5793,x5794,x5795),f517(x5792,x5793,x5794,x5795)) % 209.33/209.64 [580]~E(x5801,x5802)+E(f517(x5803,x5801,x5804,x5805),f517(x5803,x5802,x5804,x5805)) % 209.33/209.64 [581]~E(x5811,x5812)+E(f517(x5813,x5814,x5811,x5815),f517(x5813,x5814,x5812,x5815)) % 209.33/209.64 [582]~E(x5821,x5822)+E(f517(x5823,x5824,x5825,x5821),f517(x5823,x5824,x5825,x5822)) % 209.33/209.64 [583]~E(x5831,x5832)+E(f235(x5831,x5833,x5834,x5835,x5836),f235(x5832,x5833,x5834,x5835,x5836)) % 209.33/209.64 [584]~E(x5841,x5842)+E(f235(x5843,x5841,x5844,x5845,x5846),f235(x5843,x5842,x5844,x5845,x5846)) % 209.33/209.64 [585]~E(x5851,x5852)+E(f235(x5853,x5854,x5851,x5855,x5856),f235(x5853,x5854,x5852,x5855,x5856)) % 209.33/209.64 [586]~E(x5861,x5862)+E(f235(x5863,x5864,x5865,x5861,x5866),f235(x5863,x5864,x5865,x5862,x5866)) % 209.33/209.64 [587]~E(x5871,x5872)+E(f235(x5873,x5874,x5875,x5876,x5871),f235(x5873,x5874,x5875,x5876,x5872)) % 209.33/209.64 [588]~E(x5881,x5882)+E(f314(x5881,x5883,x5884),f314(x5882,x5883,x5884)) % 209.33/209.64 [589]~E(x5891,x5892)+E(f314(x5893,x5891,x5894),f314(x5893,x5892,x5894)) % 209.33/209.64 [590]~E(x5901,x5902)+E(f314(x5903,x5904,x5901),f314(x5903,x5904,x5902)) % 209.33/209.64 [591]~E(x5911,x5912)+E(f156(x5911,x5913,x5914,x5915,x5916),f156(x5912,x5913,x5914,x5915,x5916)) % 209.33/209.64 [592]~E(x5921,x5922)+E(f156(x5923,x5921,x5924,x5925,x5926),f156(x5923,x5922,x5924,x5925,x5926)) % 209.33/209.64 [593]~E(x5931,x5932)+E(f156(x5933,x5934,x5931,x5935,x5936),f156(x5933,x5934,x5932,x5935,x5936)) % 209.33/209.64 [594]~E(x5941,x5942)+E(f156(x5943,x5944,x5945,x5941,x5946),f156(x5943,x5944,x5945,x5942,x5946)) % 209.33/209.64 [595]~E(x5951,x5952)+E(f156(x5953,x5954,x5955,x5956,x5951),f156(x5953,x5954,x5955,x5956,x5952)) % 209.33/209.64 [596]~E(x5961,x5962)+E(f136(x5961),f136(x5962)) % 209.33/209.64 [597]~E(x5971,x5972)+E(f768(x5971,x5973,x5974,x5975,x5976),f768(x5972,x5973,x5974,x5975,x5976)) % 209.33/209.64 [598]~E(x5981,x5982)+E(f768(x5983,x5981,x5984,x5985,x5986),f768(x5983,x5982,x5984,x5985,x5986)) % 209.33/209.64 [599]~E(x5991,x5992)+E(f768(x5993,x5994,x5991,x5995,x5996),f768(x5993,x5994,x5992,x5995,x5996)) % 209.33/209.64 [600]~E(x6001,x6002)+E(f768(x6003,x6004,x6005,x6001,x6006),f768(x6003,x6004,x6005,x6002,x6006)) % 209.33/209.64 [601]~E(x6011,x6012)+E(f768(x6013,x6014,x6015,x6016,x6011),f768(x6013,x6014,x6015,x6016,x6012)) % 209.33/209.64 [602]~E(x6021,x6022)+E(f574(x6021,x6023,x6024),f574(x6022,x6023,x6024)) % 209.33/209.64 [603]~E(x6031,x6032)+E(f574(x6033,x6031,x6034),f574(x6033,x6032,x6034)) % 209.33/209.64 [604]~E(x6041,x6042)+E(f574(x6043,x6044,x6041),f574(x6043,x6044,x6042)) % 209.33/209.64 [605]~E(x6051,x6052)+E(f395(x6051,x6053,x6054),f395(x6052,x6053,x6054)) % 209.33/209.64 [606]~E(x6061,x6062)+E(f395(x6063,x6061,x6064),f395(x6063,x6062,x6064)) % 209.33/209.64 [607]~E(x6071,x6072)+E(f395(x6073,x6074,x6071),f395(x6073,x6074,x6072)) % 209.33/209.64 [608]~E(x6081,x6082)+E(f532(x6081,x6083,x6084,x6085),f532(x6082,x6083,x6084,x6085)) % 209.33/209.64 [609]~E(x6091,x6092)+E(f532(x6093,x6091,x6094,x6095),f532(x6093,x6092,x6094,x6095)) % 209.33/209.64 [610]~E(x6101,x6102)+E(f532(x6103,x6104,x6101,x6105),f532(x6103,x6104,x6102,x6105)) % 209.33/209.64 [611]~E(x6111,x6112)+E(f532(x6113,x6114,x6115,x6111),f532(x6113,x6114,x6115,x6112)) % 209.33/209.64 [612]~E(x6121,x6122)+E(f152(x6121,x6123),f152(x6122,x6123)) % 209.33/209.64 [613]~E(x6131,x6132)+E(f152(x6133,x6131),f152(x6133,x6132)) % 209.33/209.64 [614]~E(x6141,x6142)+E(f61(x6141),f61(x6142)) % 209.33/209.64 [615]~E(x6151,x6152)+E(f777(x6151,x6153,x6154),f777(x6152,x6153,x6154)) % 209.33/209.64 [616]~E(x6161,x6162)+E(f777(x6163,x6161,x6164),f777(x6163,x6162,x6164)) % 209.33/209.64 [617]~E(x6171,x6172)+E(f777(x6173,x6174,x6171),f777(x6173,x6174,x6172)) % 209.33/209.64 [618]~E(x6181,x6182)+E(f797(x6181,x6183,x6184,x6185),f797(x6182,x6183,x6184,x6185)) % 209.33/209.64 [619]~E(x6191,x6192)+E(f797(x6193,x6191,x6194,x6195),f797(x6193,x6192,x6194,x6195)) % 209.33/209.64 [620]~E(x6201,x6202)+E(f797(x6203,x6204,x6201,x6205),f797(x6203,x6204,x6202,x6205)) % 209.33/209.64 [621]~E(x6211,x6212)+E(f797(x6213,x6214,x6215,x6211),f797(x6213,x6214,x6215,x6212)) % 209.33/209.64 [622]~E(x6221,x6222)+E(f735(x6221,x6223,x6224),f735(x6222,x6223,x6224)) % 209.33/209.64 [623]~E(x6231,x6232)+E(f735(x6233,x6231,x6234),f735(x6233,x6232,x6234)) % 209.33/209.64 [624]~E(x6241,x6242)+E(f735(x6243,x6244,x6241),f735(x6243,x6244,x6242)) % 209.33/209.64 [625]~E(x6251,x6252)+E(f822(x6251,x6253,x6254,x6255),f822(x6252,x6253,x6254,x6255)) % 209.33/209.64 [626]~E(x6261,x6262)+E(f822(x6263,x6261,x6264,x6265),f822(x6263,x6262,x6264,x6265)) % 209.33/209.64 [627]~E(x6271,x6272)+E(f822(x6273,x6274,x6271,x6275),f822(x6273,x6274,x6272,x6275)) % 209.33/209.64 [628]~E(x6281,x6282)+E(f822(x6283,x6284,x6285,x6281),f822(x6283,x6284,x6285,x6282)) % 209.33/209.64 [629]~E(x6291,x6292)+E(f730(x6291,x6293),f730(x6292,x6293)) % 209.33/209.64 [630]~E(x6301,x6302)+E(f730(x6303,x6301),f730(x6303,x6302)) % 209.33/209.64 [631]~E(x6311,x6312)+E(f234(x6311,x6313,x6314,x6315,x6316),f234(x6312,x6313,x6314,x6315,x6316)) % 209.33/209.64 [632]~E(x6321,x6322)+E(f234(x6323,x6321,x6324,x6325,x6326),f234(x6323,x6322,x6324,x6325,x6326)) % 209.33/209.64 [633]~E(x6331,x6332)+E(f234(x6333,x6334,x6331,x6335,x6336),f234(x6333,x6334,x6332,x6335,x6336)) % 209.33/209.64 [634]~E(x6341,x6342)+E(f234(x6343,x6344,x6345,x6341,x6346),f234(x6343,x6344,x6345,x6342,x6346)) % 209.33/209.64 [635]~E(x6351,x6352)+E(f234(x6353,x6354,x6355,x6356,x6351),f234(x6353,x6354,x6355,x6356,x6352)) % 209.33/209.64 [636]~E(x6361,x6362)+E(f529(x6361,x6363),f529(x6362,x6363)) % 209.33/209.64 [637]~E(x6371,x6372)+E(f529(x6373,x6371),f529(x6373,x6372)) % 209.33/209.64 [638]~E(x6381,x6382)+E(f300(x6381,x6383),f300(x6382,x6383)) % 209.33/209.64 [639]~E(x6391,x6392)+E(f300(x6393,x6391),f300(x6393,x6392)) % 209.33/209.64 [640]~E(x6401,x6402)+E(f356(x6401,x6403,x6404,x6405),f356(x6402,x6403,x6404,x6405)) % 209.33/209.64 [641]~E(x6411,x6412)+E(f356(x6413,x6411,x6414,x6415),f356(x6413,x6412,x6414,x6415)) % 209.33/209.64 [642]~E(x6421,x6422)+E(f356(x6423,x6424,x6421,x6425),f356(x6423,x6424,x6422,x6425)) % 209.33/209.64 [643]~E(x6431,x6432)+E(f356(x6433,x6434,x6435,x6431),f356(x6433,x6434,x6435,x6432)) % 209.33/209.64 [644]~E(x6441,x6442)+E(f782(x6441,x6443,x6444),f782(x6442,x6443,x6444)) % 209.33/209.64 [645]~E(x6451,x6452)+E(f782(x6453,x6451,x6454),f782(x6453,x6452,x6454)) % 209.33/209.64 [646]~E(x6461,x6462)+E(f782(x6463,x6464,x6461),f782(x6463,x6464,x6462)) % 209.33/209.64 [647]~E(x6471,x6472)+E(f132(x6471,x6473),f132(x6472,x6473)) % 209.33/209.64 [648]~E(x6481,x6482)+E(f132(x6483,x6481),f132(x6483,x6482)) % 209.33/209.64 [649]~E(x6491,x6492)+E(f88(x6491,x6493),f88(x6492,x6493)) % 209.33/209.64 [650]~E(x6501,x6502)+E(f88(x6503,x6501),f88(x6503,x6502)) % 209.33/209.64 [651]~E(x6511,x6512)+E(f445(x6511,x6513),f445(x6512,x6513)) % 209.33/209.64 [652]~E(x6521,x6522)+E(f445(x6523,x6521),f445(x6523,x6522)) % 209.33/209.64 [653]~E(x6531,x6532)+E(f801(x6531,x6533,x6534,x6535,x6536),f801(x6532,x6533,x6534,x6535,x6536)) % 209.33/209.64 [654]~E(x6541,x6542)+E(f801(x6543,x6541,x6544,x6545,x6546),f801(x6543,x6542,x6544,x6545,x6546)) % 209.33/209.64 [655]~E(x6551,x6552)+E(f801(x6553,x6554,x6551,x6555,x6556),f801(x6553,x6554,x6552,x6555,x6556)) % 209.33/209.64 [656]~E(x6561,x6562)+E(f801(x6563,x6564,x6565,x6561,x6566),f801(x6563,x6564,x6565,x6562,x6566)) % 209.33/209.64 [657]~E(x6571,x6572)+E(f801(x6573,x6574,x6575,x6576,x6571),f801(x6573,x6574,x6575,x6576,x6572)) % 209.33/209.64 [658]~E(x6581,x6582)+E(f321(x6581,x6583,x6584,x6585),f321(x6582,x6583,x6584,x6585)) % 209.33/209.64 [659]~E(x6591,x6592)+E(f321(x6593,x6591,x6594,x6595),f321(x6593,x6592,x6594,x6595)) % 209.33/209.64 [660]~E(x6601,x6602)+E(f321(x6603,x6604,x6601,x6605),f321(x6603,x6604,x6602,x6605)) % 209.33/209.64 [661]~E(x6611,x6612)+E(f321(x6613,x6614,x6615,x6611),f321(x6613,x6614,x6615,x6612)) % 209.33/209.64 [662]~E(x6621,x6622)+E(f98(x6621,x6623,x6624,x6625),f98(x6622,x6623,x6624,x6625)) % 209.33/209.64 [663]~E(x6631,x6632)+E(f98(x6633,x6631,x6634,x6635),f98(x6633,x6632,x6634,x6635)) % 209.33/209.64 [664]~E(x6641,x6642)+E(f98(x6643,x6644,x6641,x6645),f98(x6643,x6644,x6642,x6645)) % 209.33/209.64 [665]~E(x6651,x6652)+E(f98(x6653,x6654,x6655,x6651),f98(x6653,x6654,x6655,x6652)) % 209.33/209.64 [666]~E(x6661,x6662)+E(f400(x6661,x6663,x6664),f400(x6662,x6663,x6664)) % 209.33/209.64 [667]~E(x6671,x6672)+E(f400(x6673,x6671,x6674),f400(x6673,x6672,x6674)) % 209.33/209.64 [668]~E(x6681,x6682)+E(f400(x6683,x6684,x6681),f400(x6683,x6684,x6682)) % 209.33/209.64 [669]~E(x6691,x6692)+E(f748(x6691,x6693),f748(x6692,x6693)) % 209.33/209.64 [670]~E(x6701,x6702)+E(f748(x6703,x6701),f748(x6703,x6702)) % 209.33/209.64 [671]~E(x6711,x6712)+E(f148(x6711),f148(x6712)) % 209.33/209.64 [672]~E(x6721,x6722)+E(f376(x6721,x6723,x6724),f376(x6722,x6723,x6724)) % 209.33/209.64 [673]~E(x6731,x6732)+E(f376(x6733,x6731,x6734),f376(x6733,x6732,x6734)) % 209.33/209.64 [674]~E(x6741,x6742)+E(f376(x6743,x6744,x6741),f376(x6743,x6744,x6742)) % 209.33/209.64 [675]~E(x6751,x6752)+E(f451(x6751,x6753),f451(x6752,x6753)) % 209.33/209.64 [676]~E(x6761,x6762)+E(f451(x6763,x6761),f451(x6763,x6762)) % 209.33/209.64 [677]~E(x6771,x6772)+E(f649(x6771,x6773,x6774,x6775),f649(x6772,x6773,x6774,x6775)) % 209.33/209.64 [678]~E(x6781,x6782)+E(f649(x6783,x6781,x6784,x6785),f649(x6783,x6782,x6784,x6785)) % 209.33/209.64 [679]~E(x6791,x6792)+E(f649(x6793,x6794,x6791,x6795),f649(x6793,x6794,x6792,x6795)) % 209.33/209.64 [680]~E(x6801,x6802)+E(f649(x6803,x6804,x6805,x6801),f649(x6803,x6804,x6805,x6802)) % 209.33/209.64 [681]~E(x6811,x6812)+E(f542(x6811,x6813,x6814,x6815,x6816),f542(x6812,x6813,x6814,x6815,x6816)) % 209.33/209.64 [682]~E(x6821,x6822)+E(f542(x6823,x6821,x6824,x6825,x6826),f542(x6823,x6822,x6824,x6825,x6826)) % 209.33/209.64 [683]~E(x6831,x6832)+E(f542(x6833,x6834,x6831,x6835,x6836),f542(x6833,x6834,x6832,x6835,x6836)) % 209.33/209.64 [684]~E(x6841,x6842)+E(f542(x6843,x6844,x6845,x6841,x6846),f542(x6843,x6844,x6845,x6842,x6846)) % 209.33/209.64 [685]~E(x6851,x6852)+E(f542(x6853,x6854,x6855,x6856,x6851),f542(x6853,x6854,x6855,x6856,x6852)) % 209.33/209.64 [686]~E(x6861,x6862)+E(f227(x6861,x6863),f227(x6862,x6863)) % 209.33/209.64 [687]~E(x6871,x6872)+E(f227(x6873,x6871),f227(x6873,x6872)) % 209.33/209.64 [688]~E(x6881,x6882)+E(f717(x6881,x6883,x6884,x6885,x6886),f717(x6882,x6883,x6884,x6885,x6886)) % 209.33/209.65 [689]~E(x6891,x6892)+E(f717(x6893,x6891,x6894,x6895,x6896),f717(x6893,x6892,x6894,x6895,x6896)) % 209.33/209.65 [690]~E(x6901,x6902)+E(f717(x6903,x6904,x6901,x6905,x6906),f717(x6903,x6904,x6902,x6905,x6906)) % 209.33/209.65 [691]~E(x6911,x6912)+E(f717(x6913,x6914,x6915,x6911,x6916),f717(x6913,x6914,x6915,x6912,x6916)) % 209.33/209.65 [692]~E(x6921,x6922)+E(f717(x6923,x6924,x6925,x6926,x6921),f717(x6923,x6924,x6925,x6926,x6922)) % 209.33/209.65 [693]~E(x6931,x6932)+E(f908(x6931,x6933,x6934,x6935),f908(x6932,x6933,x6934,x6935)) % 209.33/209.65 [694]~E(x6941,x6942)+E(f908(x6943,x6941,x6944,x6945),f908(x6943,x6942,x6944,x6945)) % 209.33/209.65 [695]~E(x6951,x6952)+E(f908(x6953,x6954,x6951,x6955),f908(x6953,x6954,x6952,x6955)) % 209.33/209.65 [696]~E(x6961,x6962)+E(f908(x6963,x6964,x6965,x6961),f908(x6963,x6964,x6965,x6962)) % 209.33/209.65 [697]~E(x6971,x6972)+E(f662(x6971,x6973),f662(x6972,x6973)) % 209.33/209.65 [698]~E(x6981,x6982)+E(f662(x6983,x6981),f662(x6983,x6982)) % 209.33/209.65 [699]~E(x6991,x6992)+E(f163(x6991,x6993,x6994,x6995),f163(x6992,x6993,x6994,x6995)) % 209.33/209.65 [700]~E(x7001,x7002)+E(f163(x7003,x7001,x7004,x7005),f163(x7003,x7002,x7004,x7005)) % 209.33/209.65 [701]~E(x7011,x7012)+E(f163(x7013,x7014,x7011,x7015),f163(x7013,x7014,x7012,x7015)) % 209.33/209.65 [702]~E(x7021,x7022)+E(f163(x7023,x7024,x7025,x7021),f163(x7023,x7024,x7025,x7022)) % 209.33/209.65 [703]~E(x7031,x7032)+E(f743(x7031,x7033,x7034,x7035,x7036),f743(x7032,x7033,x7034,x7035,x7036)) % 209.33/209.65 [704]~E(x7041,x7042)+E(f743(x7043,x7041,x7044,x7045,x7046),f743(x7043,x7042,x7044,x7045,x7046)) % 209.33/209.65 [705]~E(x7051,x7052)+E(f743(x7053,x7054,x7051,x7055,x7056),f743(x7053,x7054,x7052,x7055,x7056)) % 209.33/209.65 [706]~E(x7061,x7062)+E(f743(x7063,x7064,x7065,x7061,x7066),f743(x7063,x7064,x7065,x7062,x7066)) % 209.33/209.65 [707]~E(x7071,x7072)+E(f743(x7073,x7074,x7075,x7076,x7071),f743(x7073,x7074,x7075,x7076,x7072)) % 209.33/209.65 [708]~E(x7081,x7082)+E(f866(x7081,x7083,x7084,x7085,x7086,x7087,x7088),f866(x7082,x7083,x7084,x7085,x7086,x7087,x7088)) % 209.33/209.65 [709]~E(x7091,x7092)+E(f866(x7093,x7091,x7094,x7095,x7096,x7097,x7098),f866(x7093,x7092,x7094,x7095,x7096,x7097,x7098)) % 209.33/209.65 [710]~E(x7101,x7102)+E(f866(x7103,x7104,x7101,x7105,x7106,x7107,x7108),f866(x7103,x7104,x7102,x7105,x7106,x7107,x7108)) % 209.33/209.65 [711]~E(x7111,x7112)+E(f866(x7113,x7114,x7115,x7111,x7116,x7117,x7118),f866(x7113,x7114,x7115,x7112,x7116,x7117,x7118)) % 209.33/209.65 [712]~E(x7121,x7122)+E(f866(x7123,x7124,x7125,x7126,x7121,x7127,x7128),f866(x7123,x7124,x7125,x7126,x7122,x7127,x7128)) % 209.33/209.65 [713]~E(x7131,x7132)+E(f866(x7133,x7134,x7135,x7136,x7137,x7131,x7138),f866(x7133,x7134,x7135,x7136,x7137,x7132,x7138)) % 209.33/209.65 [714]~E(x7141,x7142)+E(f866(x7143,x7144,x7145,x7146,x7147,x7148,x7141),f866(x7143,x7144,x7145,x7146,x7147,x7148,x7142)) % 209.33/209.65 [715]~E(x7151,x7152)+E(f641(x7151,x7153,x7154,x7155,x7156),f641(x7152,x7153,x7154,x7155,x7156)) % 209.33/209.65 [716]~E(x7161,x7162)+E(f641(x7163,x7161,x7164,x7165,x7166),f641(x7163,x7162,x7164,x7165,x7166)) % 209.33/209.65 [717]~E(x7171,x7172)+E(f641(x7173,x7174,x7171,x7175,x7176),f641(x7173,x7174,x7172,x7175,x7176)) % 209.33/209.65 [718]~E(x7181,x7182)+E(f641(x7183,x7184,x7185,x7181,x7186),f641(x7183,x7184,x7185,x7182,x7186)) % 209.33/209.65 [719]~E(x7191,x7192)+E(f641(x7193,x7194,x7195,x7196,x7191),f641(x7193,x7194,x7195,x7196,x7192)) % 209.33/209.65 [720]~E(x7201,x7202)+E(f703(x7201,x7203,x7204),f703(x7202,x7203,x7204)) % 209.33/209.65 [721]~E(x7211,x7212)+E(f703(x7213,x7211,x7214),f703(x7213,x7212,x7214)) % 209.33/209.65 [722]~E(x7221,x7222)+E(f703(x7223,x7224,x7221),f703(x7223,x7224,x7222)) % 209.33/209.65 [723]~E(x7231,x7232)+E(f492(x7231,x7233,x7234),f492(x7232,x7233,x7234)) % 209.33/209.65 [724]~E(x7241,x7242)+E(f492(x7243,x7241,x7244),f492(x7243,x7242,x7244)) % 209.33/209.65 [725]~E(x7251,x7252)+E(f492(x7253,x7254,x7251),f492(x7253,x7254,x7252)) % 209.33/209.65 [726]~E(x7261,x7262)+E(f125(x7261,x7263,x7264),f125(x7262,x7263,x7264)) % 209.33/209.65 [727]~E(x7271,x7272)+E(f125(x7273,x7271,x7274),f125(x7273,x7272,x7274)) % 209.33/209.65 [728]~E(x7281,x7282)+E(f125(x7283,x7284,x7281),f125(x7283,x7284,x7282)) % 209.33/209.65 [729]~E(x7291,x7292)+E(f82(x7291,x7293,x7294,x7295,x7296),f82(x7292,x7293,x7294,x7295,x7296)) % 209.33/209.65 [730]~E(x7301,x7302)+E(f82(x7303,x7301,x7304,x7305,x7306),f82(x7303,x7302,x7304,x7305,x7306)) % 209.33/209.65 [731]~E(x7311,x7312)+E(f82(x7313,x7314,x7311,x7315,x7316),f82(x7313,x7314,x7312,x7315,x7316)) % 209.33/209.65 [732]~E(x7321,x7322)+E(f82(x7323,x7324,x7325,x7321,x7326),f82(x7323,x7324,x7325,x7322,x7326)) % 209.33/209.65 [733]~E(x7331,x7332)+E(f82(x7333,x7334,x7335,x7336,x7331),f82(x7333,x7334,x7335,x7336,x7332)) % 209.33/209.65 [734]~E(x7341,x7342)+E(f329(x7341,x7343,x7344),f329(x7342,x7343,x7344)) % 209.33/209.65 [735]~E(x7351,x7352)+E(f329(x7353,x7351,x7354),f329(x7353,x7352,x7354)) % 209.33/209.65 [736]~E(x7361,x7362)+E(f329(x7363,x7364,x7361),f329(x7363,x7364,x7362)) % 209.33/209.65 [737]~E(x7371,x7372)+E(f861(x7371,x7373,x7374,x7375,x7376,x7377,x7378,x7379),f861(x7372,x7373,x7374,x7375,x7376,x7377,x7378,x7379)) % 209.33/209.65 [738]~E(x7381,x7382)+E(f861(x7383,x7381,x7384,x7385,x7386,x7387,x7388,x7389),f861(x7383,x7382,x7384,x7385,x7386,x7387,x7388,x7389)) % 209.33/209.65 [739]~E(x7391,x7392)+E(f861(x7393,x7394,x7391,x7395,x7396,x7397,x7398,x7399),f861(x7393,x7394,x7392,x7395,x7396,x7397,x7398,x7399)) % 209.33/209.65 [740]~E(x7401,x7402)+E(f861(x7403,x7404,x7405,x7401,x7406,x7407,x7408,x7409),f861(x7403,x7404,x7405,x7402,x7406,x7407,x7408,x7409)) % 209.33/209.65 [741]~E(x7411,x7412)+E(f861(x7413,x7414,x7415,x7416,x7411,x7417,x7418,x7419),f861(x7413,x7414,x7415,x7416,x7412,x7417,x7418,x7419)) % 209.33/209.65 [742]~E(x7421,x7422)+E(f861(x7423,x7424,x7425,x7426,x7427,x7421,x7428,x7429),f861(x7423,x7424,x7425,x7426,x7427,x7422,x7428,x7429)) % 209.33/209.65 [743]~E(x7431,x7432)+E(f861(x7433,x7434,x7435,x7436,x7437,x7438,x7431,x7439),f861(x7433,x7434,x7435,x7436,x7437,x7438,x7432,x7439)) % 209.33/209.65 [744]~E(x7441,x7442)+E(f861(x7443,x7444,x7445,x7446,x7447,x7448,x7449,x7441),f861(x7443,x7444,x7445,x7446,x7447,x7448,x7449,x7442)) % 209.33/209.65 [745]~E(x7451,x7452)+E(f585(x7451,x7453,x7454),f585(x7452,x7453,x7454)) % 209.33/209.65 [746]~E(x7461,x7462)+E(f585(x7463,x7461,x7464),f585(x7463,x7462,x7464)) % 209.33/209.65 [747]~E(x7471,x7472)+E(f585(x7473,x7474,x7471),f585(x7473,x7474,x7472)) % 209.33/209.65 [748]~E(x7481,x7482)+E(f340(x7481),f340(x7482)) % 209.33/209.65 [749]~E(x7491,x7492)+E(f193(x7491),f193(x7492)) % 209.33/209.65 [750]~E(x7501,x7502)+E(f497(x7501,x7503,x7504),f497(x7502,x7503,x7504)) % 209.33/209.65 [751]~E(x7511,x7512)+E(f497(x7513,x7511,x7514),f497(x7513,x7512,x7514)) % 209.33/209.65 [752]~E(x7521,x7522)+E(f497(x7523,x7524,x7521),f497(x7523,x7524,x7522)) % 209.33/209.65 [753]~E(x7531,x7532)+E(f269(x7531,x7533,x7534,x7535,x7536),f269(x7532,x7533,x7534,x7535,x7536)) % 209.33/209.65 [754]~E(x7541,x7542)+E(f269(x7543,x7541,x7544,x7545,x7546),f269(x7543,x7542,x7544,x7545,x7546)) % 209.33/209.65 [755]~E(x7551,x7552)+E(f269(x7553,x7554,x7551,x7555,x7556),f269(x7553,x7554,x7552,x7555,x7556)) % 209.33/209.65 [756]~E(x7561,x7562)+E(f269(x7563,x7564,x7565,x7561,x7566),f269(x7563,x7564,x7565,x7562,x7566)) % 209.33/209.65 [757]~E(x7571,x7572)+E(f269(x7573,x7574,x7575,x7576,x7571),f269(x7573,x7574,x7575,x7576,x7572)) % 209.33/209.65 [758]~E(x7581,x7582)+E(f761(x7581,x7583,x7584),f761(x7582,x7583,x7584)) % 209.33/209.65 [759]~E(x7591,x7592)+E(f761(x7593,x7591,x7594),f761(x7593,x7592,x7594)) % 209.33/209.65 [760]~E(x7601,x7602)+E(f761(x7603,x7604,x7601),f761(x7603,x7604,x7602)) % 209.33/209.65 [761]~E(x7611,x7612)+E(f46(x7611),f46(x7612)) % 209.33/209.65 [762]~E(x7621,x7622)+E(f53(x7621,x7623),f53(x7622,x7623)) % 209.33/209.65 [763]~E(x7631,x7632)+E(f53(x7633,x7631),f53(x7633,x7632)) % 209.33/209.65 [764]~E(x7641,x7642)+E(f191(x7641,x7643,x7644),f191(x7642,x7643,x7644)) % 209.33/209.65 [765]~E(x7651,x7652)+E(f191(x7653,x7651,x7654),f191(x7653,x7652,x7654)) % 209.33/209.65 [766]~E(x7661,x7662)+E(f191(x7663,x7664,x7661),f191(x7663,x7664,x7662)) % 209.33/209.65 [767]~E(x7671,x7672)+E(f575(x7671,x7673,x7674,x7675),f575(x7672,x7673,x7674,x7675)) % 209.33/209.65 [768]~E(x7681,x7682)+E(f575(x7683,x7681,x7684,x7685),f575(x7683,x7682,x7684,x7685)) % 209.33/209.65 [769]~E(x7691,x7692)+E(f575(x7693,x7694,x7691,x7695),f575(x7693,x7694,x7692,x7695)) % 209.33/209.65 [770]~E(x7701,x7702)+E(f575(x7703,x7704,x7705,x7701),f575(x7703,x7704,x7705,x7702)) % 209.33/209.65 [771]~E(x7711,x7712)+E(f808(x7711,x7713,x7714,x7715),f808(x7712,x7713,x7714,x7715)) % 209.33/209.65 [772]~E(x7721,x7722)+E(f808(x7723,x7721,x7724,x7725),f808(x7723,x7722,x7724,x7725)) % 209.33/209.65 [773]~E(x7731,x7732)+E(f808(x7733,x7734,x7731,x7735),f808(x7733,x7734,x7732,x7735)) % 209.33/209.65 [774]~E(x7741,x7742)+E(f808(x7743,x7744,x7745,x7741),f808(x7743,x7744,x7745,x7742)) % 209.33/209.65 [775]~E(x7751,x7752)+E(f653(x7751,x7753,x7754,x7755,x7756),f653(x7752,x7753,x7754,x7755,x7756)) % 209.33/209.65 [776]~E(x7761,x7762)+E(f653(x7763,x7761,x7764,x7765,x7766),f653(x7763,x7762,x7764,x7765,x7766)) % 209.33/209.65 [777]~E(x7771,x7772)+E(f653(x7773,x7774,x7771,x7775,x7776),f653(x7773,x7774,x7772,x7775,x7776)) % 209.33/209.65 [778]~E(x7781,x7782)+E(f653(x7783,x7784,x7785,x7781,x7786),f653(x7783,x7784,x7785,x7782,x7786)) % 209.33/209.65 [779]~E(x7791,x7792)+E(f653(x7793,x7794,x7795,x7796,x7791),f653(x7793,x7794,x7795,x7796,x7792)) % 209.33/209.65 [780]~E(x7801,x7802)+E(f320(x7801,x7803),f320(x7802,x7803)) % 209.33/209.65 [781]~E(x7811,x7812)+E(f320(x7813,x7811),f320(x7813,x7812)) % 209.33/209.65 [782]~E(x7821,x7822)+E(f814(x7821,x7823,x7824,x7825,x7826,x7827,x7828),f814(x7822,x7823,x7824,x7825,x7826,x7827,x7828)) % 209.33/209.65 [783]~E(x7831,x7832)+E(f814(x7833,x7831,x7834,x7835,x7836,x7837,x7838),f814(x7833,x7832,x7834,x7835,x7836,x7837,x7838)) % 209.33/209.65 [784]~E(x7841,x7842)+E(f814(x7843,x7844,x7841,x7845,x7846,x7847,x7848),f814(x7843,x7844,x7842,x7845,x7846,x7847,x7848)) % 209.33/209.65 [785]~E(x7851,x7852)+E(f814(x7853,x7854,x7855,x7851,x7856,x7857,x7858),f814(x7853,x7854,x7855,x7852,x7856,x7857,x7858)) % 209.33/209.65 [786]~E(x7861,x7862)+E(f814(x7863,x7864,x7865,x7866,x7861,x7867,x7868),f814(x7863,x7864,x7865,x7866,x7862,x7867,x7868)) % 209.33/209.65 [787]~E(x7871,x7872)+E(f814(x7873,x7874,x7875,x7876,x7877,x7871,x7878),f814(x7873,x7874,x7875,x7876,x7877,x7872,x7878)) % 209.33/209.65 [788]~E(x7881,x7882)+E(f814(x7883,x7884,x7885,x7886,x7887,x7888,x7881),f814(x7883,x7884,x7885,x7886,x7887,x7888,x7882)) % 209.33/209.65 [789]~E(x7891,x7892)+E(f459(x7891,x7893,x7894,x7895,x7896,x7897),f459(x7892,x7893,x7894,x7895,x7896,x7897)) % 209.33/209.65 [790]~E(x7901,x7902)+E(f459(x7903,x7901,x7904,x7905,x7906,x7907),f459(x7903,x7902,x7904,x7905,x7906,x7907)) % 209.33/209.65 [791]~E(x7911,x7912)+E(f459(x7913,x7914,x7911,x7915,x7916,x7917),f459(x7913,x7914,x7912,x7915,x7916,x7917)) % 209.33/209.65 [792]~E(x7921,x7922)+E(f459(x7923,x7924,x7925,x7921,x7926,x7927),f459(x7923,x7924,x7925,x7922,x7926,x7927)) % 209.33/209.65 [793]~E(x7931,x7932)+E(f459(x7933,x7934,x7935,x7936,x7931,x7937),f459(x7933,x7934,x7935,x7936,x7932,x7937)) % 209.33/209.65 [794]~E(x7941,x7942)+E(f459(x7943,x7944,x7945,x7946,x7947,x7941),f459(x7943,x7944,x7945,x7946,x7947,x7942)) % 209.33/209.65 [795]~E(x7951,x7952)+E(f877(x7951,x7953,x7954),f877(x7952,x7953,x7954)) % 209.33/209.65 [796]~E(x7961,x7962)+E(f877(x7963,x7961,x7964),f877(x7963,x7962,x7964)) % 209.33/209.65 [797]~E(x7971,x7972)+E(f877(x7973,x7974,x7971),f877(x7973,x7974,x7972)) % 209.33/209.65 [798]~E(x7981,x7982)+E(f847(x7981,x7983,x7984,x7985,x7986),f847(x7982,x7983,x7984,x7985,x7986)) % 209.33/209.65 [799]~E(x7991,x7992)+E(f847(x7993,x7991,x7994,x7995,x7996),f847(x7993,x7992,x7994,x7995,x7996)) % 209.33/209.65 [800]~E(x8001,x8002)+E(f847(x8003,x8004,x8001,x8005,x8006),f847(x8003,x8004,x8002,x8005,x8006)) % 209.33/209.65 [801]~E(x8011,x8012)+E(f847(x8013,x8014,x8015,x8011,x8016),f847(x8013,x8014,x8015,x8012,x8016)) % 209.33/209.65 [802]~E(x8021,x8022)+E(f847(x8023,x8024,x8025,x8026,x8021),f847(x8023,x8024,x8025,x8026,x8022)) % 209.33/209.65 [803]~E(x8031,x8032)+E(f59(x8031,x8033),f59(x8032,x8033)) % 209.33/209.65 [804]~E(x8041,x8042)+E(f59(x8043,x8041),f59(x8043,x8042)) % 209.33/209.65 [805]~E(x8051,x8052)+E(f596(x8051,x8053,x8054,x8055,x8056,x8057),f596(x8052,x8053,x8054,x8055,x8056,x8057)) % 209.33/209.65 [806]~E(x8061,x8062)+E(f596(x8063,x8061,x8064,x8065,x8066,x8067),f596(x8063,x8062,x8064,x8065,x8066,x8067)) % 209.33/209.65 [807]~E(x8071,x8072)+E(f596(x8073,x8074,x8071,x8075,x8076,x8077),f596(x8073,x8074,x8072,x8075,x8076,x8077)) % 209.33/209.65 [808]~E(x8081,x8082)+E(f596(x8083,x8084,x8085,x8081,x8086,x8087),f596(x8083,x8084,x8085,x8082,x8086,x8087)) % 209.33/209.65 [809]~E(x8091,x8092)+E(f596(x8093,x8094,x8095,x8096,x8091,x8097),f596(x8093,x8094,x8095,x8096,x8092,x8097)) % 209.33/209.65 [810]~E(x8101,x8102)+E(f596(x8103,x8104,x8105,x8106,x8107,x8101),f596(x8103,x8104,x8105,x8106,x8107,x8102)) % 209.33/209.65 [811]~E(x8111,x8112)+E(f67(x8111,x8113,x8114),f67(x8112,x8113,x8114)) % 209.33/209.65 [812]~E(x8121,x8122)+E(f67(x8123,x8121,x8124),f67(x8123,x8122,x8124)) % 209.33/209.65 [813]~E(x8131,x8132)+E(f67(x8133,x8134,x8131),f67(x8133,x8134,x8132)) % 209.33/209.65 [814]~E(x8141,x8142)+E(f267(x8141,x8143,x8144,x8145),f267(x8142,x8143,x8144,x8145)) % 209.33/209.65 [815]~E(x8151,x8152)+E(f267(x8153,x8151,x8154,x8155),f267(x8153,x8152,x8154,x8155)) % 209.33/209.65 [816]~E(x8161,x8162)+E(f267(x8163,x8164,x8161,x8165),f267(x8163,x8164,x8162,x8165)) % 209.33/209.65 [817]~E(x8171,x8172)+E(f267(x8173,x8174,x8175,x8171),f267(x8173,x8174,x8175,x8172)) % 209.33/209.65 [818]~E(x8181,x8182)+E(f401(x8181,x8183,x8184),f401(x8182,x8183,x8184)) % 209.33/209.65 [819]~E(x8191,x8192)+E(f401(x8193,x8191,x8194),f401(x8193,x8192,x8194)) % 209.33/209.65 [820]~E(x8201,x8202)+E(f401(x8203,x8204,x8201),f401(x8203,x8204,x8202)) % 209.33/209.65 [821]~E(x8211,x8212)+E(f513(x8211,x8213,x8214,x8215),f513(x8212,x8213,x8214,x8215)) % 209.33/209.65 [822]~E(x8221,x8222)+E(f513(x8223,x8221,x8224,x8225),f513(x8223,x8222,x8224,x8225)) % 209.33/209.65 [823]~E(x8231,x8232)+E(f513(x8233,x8234,x8231,x8235),f513(x8233,x8234,x8232,x8235)) % 209.33/209.65 [824]~E(x8241,x8242)+E(f513(x8243,x8244,x8245,x8241),f513(x8243,x8244,x8245,x8242)) % 209.33/209.65 [825]~E(x8251,x8252)+E(f622(x8251,x8253,x8254,x8255,x8256),f622(x8252,x8253,x8254,x8255,x8256)) % 209.33/209.65 [826]~E(x8261,x8262)+E(f622(x8263,x8261,x8264,x8265,x8266),f622(x8263,x8262,x8264,x8265,x8266)) % 209.33/209.65 [827]~E(x8271,x8272)+E(f622(x8273,x8274,x8271,x8275,x8276),f622(x8273,x8274,x8272,x8275,x8276)) % 209.33/209.65 [828]~E(x8281,x8282)+E(f622(x8283,x8284,x8285,x8281,x8286),f622(x8283,x8284,x8285,x8282,x8286)) % 209.33/209.65 [829]~E(x8291,x8292)+E(f622(x8293,x8294,x8295,x8296,x8291),f622(x8293,x8294,x8295,x8296,x8292)) % 209.33/209.65 [830]~E(x8301,x8302)+E(f705(x8301,x8303,x8304,x8305,x8306),f705(x8302,x8303,x8304,x8305,x8306)) % 209.33/209.65 [831]~E(x8311,x8312)+E(f705(x8313,x8311,x8314,x8315,x8316),f705(x8313,x8312,x8314,x8315,x8316)) % 209.33/209.65 [832]~E(x8321,x8322)+E(f705(x8323,x8324,x8321,x8325,x8326),f705(x8323,x8324,x8322,x8325,x8326)) % 209.33/209.65 [833]~E(x8331,x8332)+E(f705(x8333,x8334,x8335,x8331,x8336),f705(x8333,x8334,x8335,x8332,x8336)) % 209.33/209.65 [834]~E(x8341,x8342)+E(f705(x8343,x8344,x8345,x8346,x8341),f705(x8343,x8344,x8345,x8346,x8342)) % 209.33/209.65 [835]~E(x8351,x8352)+E(f345(x8351,x8353,x8354,x8355),f345(x8352,x8353,x8354,x8355)) % 209.33/209.65 [836]~E(x8361,x8362)+E(f345(x8363,x8361,x8364,x8365),f345(x8363,x8362,x8364,x8365)) % 209.33/209.65 [837]~E(x8371,x8372)+E(f345(x8373,x8374,x8371,x8375),f345(x8373,x8374,x8372,x8375)) % 209.33/209.65 [838]~E(x8381,x8382)+E(f345(x8383,x8384,x8385,x8381),f345(x8383,x8384,x8385,x8382)) % 209.33/209.65 [839]~E(x8391,x8392)+E(f116(x8391),f116(x8392)) % 209.33/209.65 [840]~E(x8401,x8402)+E(f192(x8401,x8403,x8404,x8405),f192(x8402,x8403,x8404,x8405)) % 209.33/209.65 [841]~E(x8411,x8412)+E(f192(x8413,x8411,x8414,x8415),f192(x8413,x8412,x8414,x8415)) % 209.33/209.65 [842]~E(x8421,x8422)+E(f192(x8423,x8424,x8421,x8425),f192(x8423,x8424,x8422,x8425)) % 209.33/209.65 [843]~E(x8431,x8432)+E(f192(x8433,x8434,x8435,x8431),f192(x8433,x8434,x8435,x8432)) % 209.33/209.65 [844]~E(x8441,x8442)+E(f394(x8441,x8443,x8444),f394(x8442,x8443,x8444)) % 209.33/209.65 [845]~E(x8451,x8452)+E(f394(x8453,x8451,x8454),f394(x8453,x8452,x8454)) % 209.33/209.65 [846]~E(x8461,x8462)+E(f394(x8463,x8464,x8461),f394(x8463,x8464,x8462)) % 209.33/209.65 [847]~E(x8471,x8472)+E(f737(x8471,x8473,x8474),f737(x8472,x8473,x8474)) % 209.33/209.65 [848]~E(x8481,x8482)+E(f737(x8483,x8481,x8484),f737(x8483,x8482,x8484)) % 209.33/209.65 [849]~E(x8491,x8492)+E(f737(x8493,x8494,x8491),f737(x8493,x8494,x8492)) % 209.33/209.65 [850]~E(x8501,x8502)+E(f887(x8501,x8503,x8504,x8505),f887(x8502,x8503,x8504,x8505)) % 209.33/209.65 [851]~E(x8511,x8512)+E(f887(x8513,x8511,x8514,x8515),f887(x8513,x8512,x8514,x8515)) % 209.33/209.65 [852]~E(x8521,x8522)+E(f887(x8523,x8524,x8521,x8525),f887(x8523,x8524,x8522,x8525)) % 209.33/209.65 [853]~E(x8531,x8532)+E(f887(x8533,x8534,x8535,x8531),f887(x8533,x8534,x8535,x8532)) % 209.33/209.65 [854]~E(x8541,x8542)+E(f844(x8541,x8543),f844(x8542,x8543)) % 209.33/209.65 [855]~E(x8551,x8552)+E(f844(x8553,x8551),f844(x8553,x8552)) % 209.33/209.65 [856]~E(x8561,x8562)+E(f79(x8561,x8563),f79(x8562,x8563)) % 209.33/209.65 [857]~E(x8571,x8572)+E(f79(x8573,x8571),f79(x8573,x8572)) % 209.33/209.65 [858]~E(x8581,x8582)+E(f276(x8581,x8583),f276(x8582,x8583)) % 209.33/209.65 [859]~E(x8591,x8592)+E(f276(x8593,x8591),f276(x8593,x8592)) % 209.33/209.65 [860]~E(x8601,x8602)+E(f721(x8601,x8603,x8604,x8605),f721(x8602,x8603,x8604,x8605)) % 209.33/209.65 [861]~E(x8611,x8612)+E(f721(x8613,x8611,x8614,x8615),f721(x8613,x8612,x8614,x8615)) % 209.33/209.65 [862]~E(x8621,x8622)+E(f721(x8623,x8624,x8621,x8625),f721(x8623,x8624,x8622,x8625)) % 209.33/209.65 [863]~E(x8631,x8632)+E(f721(x8633,x8634,x8635,x8631),f721(x8633,x8634,x8635,x8632)) % 209.33/209.65 [864]~E(x8641,x8642)+E(f274(x8641,x8643),f274(x8642,x8643)) % 209.33/209.65 [865]~E(x8651,x8652)+E(f274(x8653,x8651),f274(x8653,x8652)) % 209.33/209.65 [866]~E(x8661,x8662)+E(f32(x8661,x8663),f32(x8662,x8663)) % 209.33/209.65 [867]~E(x8671,x8672)+E(f32(x8673,x8671),f32(x8673,x8672)) % 209.33/209.65 [868]~E(x8681,x8682)+E(f758(x8681,x8683,x8684,x8685),f758(x8682,x8683,x8684,x8685)) % 209.33/209.65 [869]~E(x8691,x8692)+E(f758(x8693,x8691,x8694,x8695),f758(x8693,x8692,x8694,x8695)) % 209.33/209.65 [870]~E(x8701,x8702)+E(f758(x8703,x8704,x8701,x8705),f758(x8703,x8704,x8702,x8705)) % 209.33/209.65 [871]~E(x8711,x8712)+E(f758(x8713,x8714,x8715,x8711),f758(x8713,x8714,x8715,x8712)) % 209.33/209.65 [872]~E(x8721,x8722)+E(f572(x8721,x8723,x8724,x8725,x8726,x8727,x8728),f572(x8722,x8723,x8724,x8725,x8726,x8727,x8728)) % 209.33/209.65 [873]~E(x8731,x8732)+E(f572(x8733,x8731,x8734,x8735,x8736,x8737,x8738),f572(x8733,x8732,x8734,x8735,x8736,x8737,x8738)) % 209.33/209.65 [874]~E(x8741,x8742)+E(f572(x8743,x8744,x8741,x8745,x8746,x8747,x8748),f572(x8743,x8744,x8742,x8745,x8746,x8747,x8748)) % 209.33/209.65 [875]~E(x8751,x8752)+E(f572(x8753,x8754,x8755,x8751,x8756,x8757,x8758),f572(x8753,x8754,x8755,x8752,x8756,x8757,x8758)) % 209.33/209.65 [876]~E(x8761,x8762)+E(f572(x8763,x8764,x8765,x8766,x8761,x8767,x8768),f572(x8763,x8764,x8765,x8766,x8762,x8767,x8768)) % 209.33/209.65 [877]~E(x8771,x8772)+E(f572(x8773,x8774,x8775,x8776,x8777,x8771,x8778),f572(x8773,x8774,x8775,x8776,x8777,x8772,x8778)) % 209.33/209.65 [878]~E(x8781,x8782)+E(f572(x8783,x8784,x8785,x8786,x8787,x8788,x8781),f572(x8783,x8784,x8785,x8786,x8787,x8788,x8782)) % 209.33/209.65 [879]~E(x8791,x8792)+E(f251(x8791,x8793,x8794),f251(x8792,x8793,x8794)) % 209.33/209.65 [880]~E(x8801,x8802)+E(f251(x8803,x8801,x8804),f251(x8803,x8802,x8804)) % 209.33/209.65 [881]~E(x8811,x8812)+E(f251(x8813,x8814,x8811),f251(x8813,x8814,x8812)) % 209.33/209.65 [882]~E(x8821,x8822)+E(f344(x8821,x8823,x8824),f344(x8822,x8823,x8824)) % 209.33/209.65 [883]~E(x8831,x8832)+E(f344(x8833,x8831,x8834),f344(x8833,x8832,x8834)) % 209.33/209.65 [884]~E(x8841,x8842)+E(f344(x8843,x8844,x8841),f344(x8843,x8844,x8842)) % 209.33/209.65 [885]~E(x8851,x8852)+E(f48(x8851),f48(x8852)) % 209.33/209.65 [886]~E(x8861,x8862)+E(f139(x8861,x8863),f139(x8862,x8863)) % 209.33/209.65 [887]~E(x8871,x8872)+E(f139(x8873,x8871),f139(x8873,x8872)) % 209.33/209.65 [888]~E(x8881,x8882)+E(f883(x8881,x8883,x8884,x8885),f883(x8882,x8883,x8884,x8885)) % 209.33/209.65 [889]~E(x8891,x8892)+E(f883(x8893,x8891,x8894,x8895),f883(x8893,x8892,x8894,x8895)) % 209.33/209.65 [890]~E(x8901,x8902)+E(f883(x8903,x8904,x8901,x8905),f883(x8903,x8904,x8902,x8905)) % 209.33/209.65 [891]~E(x8911,x8912)+E(f883(x8913,x8914,x8915,x8911),f883(x8913,x8914,x8915,x8912)) % 209.33/209.65 [892]~E(x8921,x8922)+E(f537(x8921,x8923,x8924),f537(x8922,x8923,x8924)) % 209.33/209.65 [893]~E(x8931,x8932)+E(f537(x8933,x8931,x8934),f537(x8933,x8932,x8934)) % 209.33/209.65 [894]~E(x8941,x8942)+E(f537(x8943,x8944,x8941),f537(x8943,x8944,x8942)) % 209.33/209.65 [895]~E(x8951,x8952)+E(f846(x8951,x8953,x8954),f846(x8952,x8953,x8954)) % 209.33/209.65 [896]~E(x8961,x8962)+E(f846(x8963,x8961,x8964),f846(x8963,x8962,x8964)) % 209.33/209.65 [897]~E(x8971,x8972)+E(f846(x8973,x8974,x8971),f846(x8973,x8974,x8972)) % 209.33/209.65 [898]~E(x8981,x8982)+E(f62(x8981),f62(x8982)) % 209.33/209.65 [899]~E(x8991,x8992)+E(f263(x8991,x8993,x8994,x8995),f263(x8992,x8993,x8994,x8995)) % 209.33/209.65 [900]~E(x9001,x9002)+E(f263(x9003,x9001,x9004,x9005),f263(x9003,x9002,x9004,x9005)) % 209.33/209.65 [901]~E(x9011,x9012)+E(f263(x9013,x9014,x9011,x9015),f263(x9013,x9014,x9012,x9015)) % 209.33/209.65 [902]~E(x9021,x9022)+E(f263(x9023,x9024,x9025,x9021),f263(x9023,x9024,x9025,x9022)) % 209.33/209.65 [903]~E(x9031,x9032)+E(f524(x9031,x9033,x9034,x9035),f524(x9032,x9033,x9034,x9035)) % 209.33/209.65 [904]~E(x9041,x9042)+E(f524(x9043,x9041,x9044,x9045),f524(x9043,x9042,x9044,x9045)) % 209.33/209.65 [905]~E(x9051,x9052)+E(f524(x9053,x9054,x9051,x9055),f524(x9053,x9054,x9052,x9055)) % 209.33/209.65 [906]~E(x9061,x9062)+E(f524(x9063,x9064,x9065,x9061),f524(x9063,x9064,x9065,x9062)) % 209.33/209.65 [907]~E(x9071,x9072)+E(f302(x9071,x9073,x9074),f302(x9072,x9073,x9074)) % 209.33/209.65 [908]~E(x9081,x9082)+E(f302(x9083,x9081,x9084),f302(x9083,x9082,x9084)) % 209.33/209.65 [909]~E(x9091,x9092)+E(f302(x9093,x9094,x9091),f302(x9093,x9094,x9092)) % 209.33/209.65 [910]~E(x9101,x9102)+E(f724(x9101,x9103,x9104,x9105,x9106),f724(x9102,x9103,x9104,x9105,x9106)) % 209.33/209.65 [911]~E(x9111,x9112)+E(f724(x9113,x9111,x9114,x9115,x9116),f724(x9113,x9112,x9114,x9115,x9116)) % 209.33/209.65 [912]~E(x9121,x9122)+E(f724(x9123,x9124,x9121,x9125,x9126),f724(x9123,x9124,x9122,x9125,x9126)) % 209.33/209.65 [913]~E(x9131,x9132)+E(f724(x9133,x9134,x9135,x9131,x9136),f724(x9133,x9134,x9135,x9132,x9136)) % 209.33/209.65 [914]~E(x9141,x9142)+E(f724(x9143,x9144,x9145,x9146,x9141),f724(x9143,x9144,x9145,x9146,x9142)) % 209.33/209.65 [915]~E(x9151,x9152)+E(f550(x9151,x9153,x9154,x9155,x9156,x9157,x9158,x9159),f550(x9152,x9153,x9154,x9155,x9156,x9157,x9158,x9159)) % 209.33/209.65 [916]~E(x9161,x9162)+E(f550(x9163,x9161,x9164,x9165,x9166,x9167,x9168,x9169),f550(x9163,x9162,x9164,x9165,x9166,x9167,x9168,x9169)) % 209.33/209.65 [917]~E(x9171,x9172)+E(f550(x9173,x9174,x9171,x9175,x9176,x9177,x9178,x9179),f550(x9173,x9174,x9172,x9175,x9176,x9177,x9178,x9179)) % 209.33/209.65 [918]~E(x9181,x9182)+E(f550(x9183,x9184,x9185,x9181,x9186,x9187,x9188,x9189),f550(x9183,x9184,x9185,x9182,x9186,x9187,x9188,x9189)) % 209.33/209.65 [919]~E(x9191,x9192)+E(f550(x9193,x9194,x9195,x9196,x9191,x9197,x9198,x9199),f550(x9193,x9194,x9195,x9196,x9192,x9197,x9198,x9199)) % 209.33/209.65 [920]~E(x9201,x9202)+E(f550(x9203,x9204,x9205,x9206,x9207,x9201,x9208,x9209),f550(x9203,x9204,x9205,x9206,x9207,x9202,x9208,x9209)) % 209.33/209.65 [921]~E(x9211,x9212)+E(f550(x9213,x9214,x9215,x9216,x9217,x9218,x9211,x9219),f550(x9213,x9214,x9215,x9216,x9217,x9218,x9212,x9219)) % 209.33/209.65 [922]~E(x9221,x9222)+E(f550(x9223,x9224,x9225,x9226,x9227,x9228,x9229,x9221),f550(x9223,x9224,x9225,x9226,x9227,x9228,x9229,x9222)) % 209.33/209.65 [923]~E(x9231,x9232)+E(f292(x9231,x9233),f292(x9232,x9233)) % 209.33/209.65 [924]~E(x9241,x9242)+E(f292(x9243,x9241),f292(x9243,x9242)) % 209.33/209.65 [925]~E(x9251,x9252)+E(f799(x9251,x9253,x9254),f799(x9252,x9253,x9254)) % 209.33/209.65 [926]~E(x9261,x9262)+E(f799(x9263,x9261,x9264),f799(x9263,x9262,x9264)) % 209.33/209.65 [927]~E(x9271,x9272)+E(f799(x9273,x9274,x9271),f799(x9273,x9274,x9272)) % 209.33/209.65 [928]~E(x9281,x9282)+E(f296(x9281,x9283),f296(x9282,x9283)) % 209.33/209.65 [929]~E(x9291,x9292)+E(f296(x9293,x9291),f296(x9293,x9292)) % 209.33/209.65 [930]~E(x9301,x9302)+E(f798(x9301,x9303,x9304),f798(x9302,x9303,x9304)) % 209.33/209.65 [931]~E(x9311,x9312)+E(f798(x9313,x9311,x9314),f798(x9313,x9312,x9314)) % 209.33/209.65 [932]~E(x9321,x9322)+E(f798(x9323,x9324,x9321),f798(x9323,x9324,x9322)) % 209.33/209.65 [933]~E(x9331,x9332)+E(f83(x9331,x9333,x9334,x9335),f83(x9332,x9333,x9334,x9335)) % 209.33/209.65 [934]~E(x9341,x9342)+E(f83(x9343,x9341,x9344,x9345),f83(x9343,x9342,x9344,x9345)) % 209.33/209.65 [935]~E(x9351,x9352)+E(f83(x9353,x9354,x9351,x9355),f83(x9353,x9354,x9352,x9355)) % 209.33/209.65 [936]~E(x9361,x9362)+E(f83(x9363,x9364,x9365,x9361),f83(x9363,x9364,x9365,x9362)) % 209.33/209.65 [937]~E(x9371,x9372)+E(f474(x9371,x9373,x9374),f474(x9372,x9373,x9374)) % 209.33/209.65 [938]~E(x9381,x9382)+E(f474(x9383,x9381,x9384),f474(x9383,x9382,x9384)) % 209.33/209.65 [939]~E(x9391,x9392)+E(f474(x9393,x9394,x9391),f474(x9393,x9394,x9392)) % 209.33/209.65 [940]~E(x9401,x9402)+E(f695(x9401,x9403,x9404,x9405),f695(x9402,x9403,x9404,x9405)) % 209.33/209.65 [941]~E(x9411,x9412)+E(f695(x9413,x9411,x9414,x9415),f695(x9413,x9412,x9414,x9415)) % 209.33/209.65 [942]~E(x9421,x9422)+E(f695(x9423,x9424,x9421,x9425),f695(x9423,x9424,x9422,x9425)) % 209.33/209.65 [943]~E(x9431,x9432)+E(f695(x9433,x9434,x9435,x9431),f695(x9433,x9434,x9435,x9432)) % 209.33/209.65 [944]~E(x9441,x9442)+E(f881(x9441,x9443,x9444,x9445,x9446,x9447),f881(x9442,x9443,x9444,x9445,x9446,x9447)) % 209.33/209.65 [945]~E(x9451,x9452)+E(f881(x9453,x9451,x9454,x9455,x9456,x9457),f881(x9453,x9452,x9454,x9455,x9456,x9457)) % 209.33/209.65 [946]~E(x9461,x9462)+E(f881(x9463,x9464,x9461,x9465,x9466,x9467),f881(x9463,x9464,x9462,x9465,x9466,x9467)) % 209.33/209.65 [947]~E(x9471,x9472)+E(f881(x9473,x9474,x9475,x9471,x9476,x9477),f881(x9473,x9474,x9475,x9472,x9476,x9477)) % 209.33/209.65 [948]~E(x9481,x9482)+E(f881(x9483,x9484,x9485,x9486,x9481,x9487),f881(x9483,x9484,x9485,x9486,x9482,x9487)) % 209.33/209.65 [949]~E(x9491,x9492)+E(f881(x9493,x9494,x9495,x9496,x9497,x9491),f881(x9493,x9494,x9495,x9496,x9497,x9492)) % 209.33/209.65 [950]~E(x9501,x9502)+E(f770(x9501,x9503,x9504,x9505,x9506,x9507,x9508),f770(x9502,x9503,x9504,x9505,x9506,x9507,x9508)) % 209.33/209.65 [951]~E(x9511,x9512)+E(f770(x9513,x9511,x9514,x9515,x9516,x9517,x9518),f770(x9513,x9512,x9514,x9515,x9516,x9517,x9518)) % 209.33/209.65 [952]~E(x9521,x9522)+E(f770(x9523,x9524,x9521,x9525,x9526,x9527,x9528),f770(x9523,x9524,x9522,x9525,x9526,x9527,x9528)) % 209.33/209.65 [953]~E(x9531,x9532)+E(f770(x9533,x9534,x9535,x9531,x9536,x9537,x9538),f770(x9533,x9534,x9535,x9532,x9536,x9537,x9538)) % 209.33/209.65 [954]~E(x9541,x9542)+E(f770(x9543,x9544,x9545,x9546,x9541,x9547,x9548),f770(x9543,x9544,x9545,x9546,x9542,x9547,x9548)) % 209.33/209.65 [955]~E(x9551,x9552)+E(f770(x9553,x9554,x9555,x9556,x9557,x9551,x9558),f770(x9553,x9554,x9555,x9556,x9557,x9552,x9558)) % 209.33/209.65 [956]~E(x9561,x9562)+E(f770(x9563,x9564,x9565,x9566,x9567,x9568,x9561),f770(x9563,x9564,x9565,x9566,x9567,x9568,x9562)) % 209.33/209.65 [957]~E(x9571,x9572)+E(f214(x9571),f214(x9572)) % 209.33/209.65 [958]~E(x9581,x9582)+E(f896(x9581,x9583,x9584,x9585,x9586,x9587,x9588),f896(x9582,x9583,x9584,x9585,x9586,x9587,x9588)) % 209.33/209.65 [959]~E(x9591,x9592)+E(f896(x9593,x9591,x9594,x9595,x9596,x9597,x9598),f896(x9593,x9592,x9594,x9595,x9596,x9597,x9598)) % 209.33/209.65 [960]~E(x9601,x9602)+E(f896(x9603,x9604,x9601,x9605,x9606,x9607,x9608),f896(x9603,x9604,x9602,x9605,x9606,x9607,x9608)) % 209.33/209.65 [961]~E(x9611,x9612)+E(f896(x9613,x9614,x9615,x9611,x9616,x9617,x9618),f896(x9613,x9614,x9615,x9612,x9616,x9617,x9618)) % 209.33/209.65 [962]~E(x9621,x9622)+E(f896(x9623,x9624,x9625,x9626,x9621,x9627,x9628),f896(x9623,x9624,x9625,x9626,x9622,x9627,x9628)) % 209.33/209.65 [963]~E(x9631,x9632)+E(f896(x9633,x9634,x9635,x9636,x9637,x9631,x9638),f896(x9633,x9634,x9635,x9636,x9637,x9632,x9638)) % 209.33/209.65 [964]~E(x9641,x9642)+E(f896(x9643,x9644,x9645,x9646,x9647,x9648,x9641),f896(x9643,x9644,x9645,x9646,x9647,x9648,x9642)) % 209.33/209.65 [965]~E(x9651,x9652)+E(f233(x9651,x9653,x9654,x9655,x9656),f233(x9652,x9653,x9654,x9655,x9656)) % 209.33/209.65 [966]~E(x9661,x9662)+E(f233(x9663,x9661,x9664,x9665,x9666),f233(x9663,x9662,x9664,x9665,x9666)) % 209.33/209.65 [967]~E(x9671,x9672)+E(f233(x9673,x9674,x9671,x9675,x9676),f233(x9673,x9674,x9672,x9675,x9676)) % 209.33/209.65 [968]~E(x9681,x9682)+E(f233(x9683,x9684,x9685,x9681,x9686),f233(x9683,x9684,x9685,x9682,x9686)) % 209.33/209.65 [969]~E(x9691,x9692)+E(f233(x9693,x9694,x9695,x9696,x9691),f233(x9693,x9694,x9695,x9696,x9692)) % 209.33/209.65 [970]~E(x9701,x9702)+E(f876(x9701,x9703,x9704,x9705,x9706),f876(x9702,x9703,x9704,x9705,x9706)) % 209.33/209.65 [971]~E(x9711,x9712)+E(f876(x9713,x9711,x9714,x9715,x9716),f876(x9713,x9712,x9714,x9715,x9716)) % 209.33/209.65 [972]~E(x9721,x9722)+E(f876(x9723,x9724,x9721,x9725,x9726),f876(x9723,x9724,x9722,x9725,x9726)) % 209.33/209.65 [973]~E(x9731,x9732)+E(f876(x9733,x9734,x9735,x9731,x9736),f876(x9733,x9734,x9735,x9732,x9736)) % 209.33/209.65 [974]~E(x9741,x9742)+E(f876(x9743,x9744,x9745,x9746,x9741),f876(x9743,x9744,x9745,x9746,x9742)) % 209.33/209.65 [975]~E(x9751,x9752)+E(f461(x9751,x9753,x9754),f461(x9752,x9753,x9754)) % 209.33/209.65 [976]~E(x9761,x9762)+E(f461(x9763,x9761,x9764),f461(x9763,x9762,x9764)) % 209.33/209.65 [977]~E(x9771,x9772)+E(f461(x9773,x9774,x9771),f461(x9773,x9774,x9772)) % 209.33/209.65 [978]~E(x9781,x9782)+E(f664(x9781,x9783,x9784,x9785),f664(x9782,x9783,x9784,x9785)) % 209.33/209.65 [979]~E(x9791,x9792)+E(f664(x9793,x9791,x9794,x9795),f664(x9793,x9792,x9794,x9795)) % 209.33/209.65 [980]~E(x9801,x9802)+E(f664(x9803,x9804,x9801,x9805),f664(x9803,x9804,x9802,x9805)) % 209.33/209.65 [981]~E(x9811,x9812)+E(f664(x9813,x9814,x9815,x9811),f664(x9813,x9814,x9815,x9812)) % 209.33/209.65 [982]~E(x9821,x9822)+E(f583(x9821,x9823,x9824),f583(x9822,x9823,x9824)) % 209.33/209.65 [983]~E(x9831,x9832)+E(f583(x9833,x9831,x9834),f583(x9833,x9832,x9834)) % 209.33/209.65 [984]~E(x9841,x9842)+E(f583(x9843,x9844,x9841),f583(x9843,x9844,x9842)) % 209.33/209.65 [985]~E(x9851,x9852)+E(f407(x9851,x9853,x9854,x9855),f407(x9852,x9853,x9854,x9855)) % 209.33/209.65 [986]~E(x9861,x9862)+E(f407(x9863,x9861,x9864,x9865),f407(x9863,x9862,x9864,x9865)) % 209.33/209.65 [987]~E(x9871,x9872)+E(f407(x9873,x9874,x9871,x9875),f407(x9873,x9874,x9872,x9875)) % 209.33/209.65 [988]~E(x9881,x9882)+E(f407(x9883,x9884,x9885,x9881),f407(x9883,x9884,x9885,x9882)) % 209.33/209.65 [989]~E(x9891,x9892)+E(f434(x9891),f434(x9892)) % 209.33/209.65 [990]~E(x9901,x9902)+E(f726(x9901,x9903,x9904),f726(x9902,x9903,x9904)) % 209.33/209.65 [991]~E(x9911,x9912)+E(f726(x9913,x9911,x9914),f726(x9913,x9912,x9914)) % 209.33/209.65 [992]~E(x9921,x9922)+E(f726(x9923,x9924,x9921),f726(x9923,x9924,x9922)) % 209.33/209.65 [993]~E(x9931,x9932)+E(f199(x9931,x9933),f199(x9932,x9933)) % 209.33/209.65 [994]~E(x9941,x9942)+E(f199(x9943,x9941),f199(x9943,x9942)) % 209.33/209.65 [995]~E(x9951,x9952)+E(f897(x9951,x9953,x9954,x9955,x9956,x9957),f897(x9952,x9953,x9954,x9955,x9956,x9957)) % 209.33/209.65 [996]~E(x9961,x9962)+E(f897(x9963,x9961,x9964,x9965,x9966,x9967),f897(x9963,x9962,x9964,x9965,x9966,x9967)) % 209.33/209.65 [997]~E(x9971,x9972)+E(f897(x9973,x9974,x9971,x9975,x9976,x9977),f897(x9973,x9974,x9972,x9975,x9976,x9977)) % 209.33/209.65 [998]~E(x9981,x9982)+E(f897(x9983,x9984,x9985,x9981,x9986,x9987),f897(x9983,x9984,x9985,x9982,x9986,x9987)) % 209.33/209.65 [999]~E(x9991,x9992)+E(f897(x9993,x9994,x9995,x9996,x9991,x9997),f897(x9993,x9994,x9995,x9996,x9992,x9997)) % 209.33/209.65 [1000]~E(x10001,x10002)+E(f897(x10003,x10004,x10005,x10006,x10007,x10001),f897(x10003,x10004,x10005,x10006,x10007,x10002)) % 209.33/209.65 [1001]~E(x10011,x10012)+E(f128(x10011,x10013),f128(x10012,x10013)) % 209.33/209.65 [1002]~E(x10021,x10022)+E(f128(x10023,x10021),f128(x10023,x10022)) % 209.33/209.65 [1003]~E(x10031,x10032)+E(f436(x10031),f436(x10032)) % 209.33/209.65 [1004]~E(x10041,x10042)+E(f99(x10041,x10043,x10044),f99(x10042,x10043,x10044)) % 209.33/209.65 [1005]~E(x10051,x10052)+E(f99(x10053,x10051,x10054),f99(x10053,x10052,x10054)) % 209.33/209.65 [1006]~E(x10061,x10062)+E(f99(x10063,x10064,x10061),f99(x10063,x10064,x10062)) % 209.33/209.65 [1007]~E(x10071,x10072)+E(f556(x10071,x10073,x10074,x10075,x10076),f556(x10072,x10073,x10074,x10075,x10076)) % 209.33/209.65 [1008]~E(x10081,x10082)+E(f556(x10083,x10081,x10084,x10085,x10086),f556(x10083,x10082,x10084,x10085,x10086)) % 209.33/209.65 [1009]~E(x10091,x10092)+E(f556(x10093,x10094,x10091,x10095,x10096),f556(x10093,x10094,x10092,x10095,x10096)) % 209.33/209.65 [1010]~E(x10101,x10102)+E(f556(x10103,x10104,x10105,x10101,x10106),f556(x10103,x10104,x10105,x10102,x10106)) % 209.33/209.65 [1011]~E(x10111,x10112)+E(f556(x10113,x10114,x10115,x10116,x10111),f556(x10113,x10114,x10115,x10116,x10112)) % 209.33/209.65 [1012]~E(x10121,x10122)+E(f509(x10121,x10123,x10124),f509(x10122,x10123,x10124)) % 209.33/209.65 [1013]~E(x10131,x10132)+E(f509(x10133,x10131,x10134),f509(x10133,x10132,x10134)) % 209.33/209.65 [1014]~E(x10141,x10142)+E(f509(x10143,x10144,x10141),f509(x10143,x10144,x10142)) % 209.33/209.65 [1015]~E(x10151,x10152)+E(f279(x10151,x10153,x10154,x10155),f279(x10152,x10153,x10154,x10155)) % 209.33/209.65 [1016]~E(x10161,x10162)+E(f279(x10163,x10161,x10164,x10165),f279(x10163,x10162,x10164,x10165)) % 209.33/209.65 [1017]~E(x10171,x10172)+E(f279(x10173,x10174,x10171,x10175),f279(x10173,x10174,x10172,x10175)) % 209.33/209.65 [1018]~E(x10181,x10182)+E(f279(x10183,x10184,x10185,x10181),f279(x10183,x10184,x10185,x10182)) % 209.33/209.65 [1019]~E(x10191,x10192)+E(f123(x10191,x10193,x10194),f123(x10192,x10193,x10194)) % 209.33/209.65 [1020]~E(x10201,x10202)+E(f123(x10203,x10201,x10204),f123(x10203,x10202,x10204)) % 209.33/209.65 [1021]~E(x10211,x10212)+E(f123(x10213,x10214,x10211),f123(x10213,x10214,x10212)) % 209.33/209.65 [1022]~E(x10221,x10222)+E(f818(x10221,x10223,x10224,x10225,x10226,x10227,x10228),f818(x10222,x10223,x10224,x10225,x10226,x10227,x10228)) % 209.33/209.65 [1023]~E(x10231,x10232)+E(f818(x10233,x10231,x10234,x10235,x10236,x10237,x10238),f818(x10233,x10232,x10234,x10235,x10236,x10237,x10238)) % 209.33/209.65 [1024]~E(x10241,x10242)+E(f818(x10243,x10244,x10241,x10245,x10246,x10247,x10248),f818(x10243,x10244,x10242,x10245,x10246,x10247,x10248)) % 209.33/209.65 [1025]~E(x10251,x10252)+E(f818(x10253,x10254,x10255,x10251,x10256,x10257,x10258),f818(x10253,x10254,x10255,x10252,x10256,x10257,x10258)) % 209.33/209.65 [1026]~E(x10261,x10262)+E(f818(x10263,x10264,x10265,x10266,x10261,x10267,x10268),f818(x10263,x10264,x10265,x10266,x10262,x10267,x10268)) % 209.33/209.65 [1027]~E(x10271,x10272)+E(f818(x10273,x10274,x10275,x10276,x10277,x10271,x10278),f818(x10273,x10274,x10275,x10276,x10277,x10272,x10278)) % 209.33/209.65 [1028]~E(x10281,x10282)+E(f818(x10283,x10284,x10285,x10286,x10287,x10288,x10281),f818(x10283,x10284,x10285,x10286,x10287,x10288,x10282)) % 209.33/209.65 [1029]~E(x10291,x10292)+E(f255(x10291,x10293,x10294),f255(x10292,x10293,x10294)) % 209.33/209.65 [1030]~E(x10301,x10302)+E(f255(x10303,x10301,x10304),f255(x10303,x10302,x10304)) % 209.33/209.65 [1031]~E(x10311,x10312)+E(f255(x10313,x10314,x10311),f255(x10313,x10314,x10312)) % 209.33/209.65 [1032]~E(x10321,x10322)+E(f378(x10321,x10323,x10324),f378(x10322,x10323,x10324)) % 209.33/209.65 [1033]~E(x10331,x10332)+E(f378(x10333,x10331,x10334),f378(x10333,x10332,x10334)) % 209.33/209.65 [1034]~E(x10341,x10342)+E(f378(x10343,x10344,x10341),f378(x10343,x10344,x10342)) % 209.33/209.65 [1035]~E(x10351,x10352)+E(f393(x10351,x10353,x10354),f393(x10352,x10353,x10354)) % 209.33/209.65 [1036]~E(x10361,x10362)+E(f393(x10363,x10361,x10364),f393(x10363,x10362,x10364)) % 209.33/209.65 [1037]~E(x10371,x10372)+E(f393(x10373,x10374,x10371),f393(x10373,x10374,x10372)) % 209.33/209.65 [1038]~E(x10381,x10382)+E(f850(x10381,x10383,x10384,x10385),f850(x10382,x10383,x10384,x10385)) % 209.33/209.65 [1039]~E(x10391,x10392)+E(f850(x10393,x10391,x10394,x10395),f850(x10393,x10392,x10394,x10395)) % 209.33/209.65 [1040]~E(x10401,x10402)+E(f850(x10403,x10404,x10401,x10405),f850(x10403,x10404,x10402,x10405)) % 209.33/209.65 [1041]~E(x10411,x10412)+E(f850(x10413,x10414,x10415,x10411),f850(x10413,x10414,x10415,x10412)) % 209.33/209.65 [1042]~E(x10421,x10422)+E(f918(x10421,x10423,x10424),f918(x10422,x10423,x10424)) % 209.33/209.65 [1043]~E(x10431,x10432)+E(f918(x10433,x10431,x10434),f918(x10433,x10432,x10434)) % 209.33/209.65 [1044]~E(x10441,x10442)+E(f918(x10443,x10444,x10441),f918(x10443,x10444,x10442)) % 209.33/209.65 [1045]~E(x10451,x10452)+E(f684(x10451,x10453,x10454,x10455),f684(x10452,x10453,x10454,x10455)) % 209.33/209.65 [1046]~E(x10461,x10462)+E(f684(x10463,x10461,x10464,x10465),f684(x10463,x10462,x10464,x10465)) % 209.33/209.65 [1047]~E(x10471,x10472)+E(f684(x10473,x10474,x10471,x10475),f684(x10473,x10474,x10472,x10475)) % 209.33/209.65 [1048]~E(x10481,x10482)+E(f684(x10483,x10484,x10485,x10481),f684(x10483,x10484,x10485,x10482)) % 209.33/209.65 [1049]~E(x10491,x10492)+E(f525(x10491,x10493,x10494,x10495),f525(x10492,x10493,x10494,x10495)) % 209.33/209.65 [1050]~E(x10501,x10502)+E(f525(x10503,x10501,x10504,x10505),f525(x10503,x10502,x10504,x10505)) % 209.33/209.65 [1051]~E(x10511,x10512)+E(f525(x10513,x10514,x10511,x10515),f525(x10513,x10514,x10512,x10515)) % 209.33/209.65 [1052]~E(x10521,x10522)+E(f525(x10523,x10524,x10525,x10521),f525(x10523,x10524,x10525,x10522)) % 209.33/209.65 [1053]~E(x10531,x10532)+E(f630(x10531,x10533,x10534),f630(x10532,x10533,x10534)) % 209.33/209.65 [1054]~E(x10541,x10542)+E(f630(x10543,x10541,x10544),f630(x10543,x10542,x10544)) % 209.33/209.65 [1055]~E(x10551,x10552)+E(f630(x10553,x10554,x10551),f630(x10553,x10554,x10552)) % 209.33/209.65 [1056]~E(x10561,x10562)+E(f383(x10561,x10563),f383(x10562,x10563)) % 209.33/209.65 [1057]~E(x10571,x10572)+E(f383(x10573,x10571),f383(x10573,x10572)) % 209.33/209.65 [1058]~E(x10581,x10582)+E(f905(x10581,x10583,x10584),f905(x10582,x10583,x10584)) % 209.33/209.65 [1059]~E(x10591,x10592)+E(f905(x10593,x10591,x10594),f905(x10593,x10592,x10594)) % 209.33/209.65 [1060]~E(x10601,x10602)+E(f905(x10603,x10604,x10601),f905(x10603,x10604,x10602)) % 209.33/209.65 [1061]~E(x10611,x10612)+E(f812(x10611,x10613,x10614,x10615,x10616,x10617,x10618),f812(x10612,x10613,x10614,x10615,x10616,x10617,x10618)) % 209.33/209.65 [1062]~E(x10621,x10622)+E(f812(x10623,x10621,x10624,x10625,x10626,x10627,x10628),f812(x10623,x10622,x10624,x10625,x10626,x10627,x10628)) % 209.33/209.65 [1063]~E(x10631,x10632)+E(f812(x10633,x10634,x10631,x10635,x10636,x10637,x10638),f812(x10633,x10634,x10632,x10635,x10636,x10637,x10638)) % 209.33/209.65 [1064]~E(x10641,x10642)+E(f812(x10643,x10644,x10645,x10641,x10646,x10647,x10648),f812(x10643,x10644,x10645,x10642,x10646,x10647,x10648)) % 209.33/209.65 [1065]~E(x10651,x10652)+E(f812(x10653,x10654,x10655,x10656,x10651,x10657,x10658),f812(x10653,x10654,x10655,x10656,x10652,x10657,x10658)) % 209.33/209.65 [1066]~E(x10661,x10662)+E(f812(x10663,x10664,x10665,x10666,x10667,x10661,x10668),f812(x10663,x10664,x10665,x10666,x10667,x10662,x10668)) % 209.33/209.65 [1067]~E(x10671,x10672)+E(f812(x10673,x10674,x10675,x10676,x10677,x10678,x10671),f812(x10673,x10674,x10675,x10676,x10677,x10678,x10672)) % 209.33/209.65 [1068]~E(x10681,x10682)+E(f543(x10681,x10683,x10684,x10685,x10686),f543(x10682,x10683,x10684,x10685,x10686)) % 209.33/209.65 [1069]~E(x10691,x10692)+E(f543(x10693,x10691,x10694,x10695,x10696),f543(x10693,x10692,x10694,x10695,x10696)) % 209.33/209.65 [1070]~E(x10701,x10702)+E(f543(x10703,x10704,x10701,x10705,x10706),f543(x10703,x10704,x10702,x10705,x10706)) % 209.33/209.65 [1071]~E(x10711,x10712)+E(f543(x10713,x10714,x10715,x10711,x10716),f543(x10713,x10714,x10715,x10712,x10716)) % 209.33/209.65 [1072]~E(x10721,x10722)+E(f543(x10723,x10724,x10725,x10726,x10721),f543(x10723,x10724,x10725,x10726,x10722)) % 209.33/209.65 [1073]~E(x10731,x10732)+E(f453(x10731,x10733,x10734),f453(x10732,x10733,x10734)) % 209.33/209.65 [1074]~E(x10741,x10742)+E(f453(x10743,x10741,x10744),f453(x10743,x10742,x10744)) % 209.33/209.65 [1075]~E(x10751,x10752)+E(f453(x10753,x10754,x10751),f453(x10753,x10754,x10752)) % 209.33/209.65 [1076]~E(x10761,x10762)+E(f298(x10761,x10763,x10764,x10765),f298(x10762,x10763,x10764,x10765)) % 209.33/209.65 [1077]~E(x10771,x10772)+E(f298(x10773,x10771,x10774,x10775),f298(x10773,x10772,x10774,x10775)) % 209.33/209.65 [1078]~E(x10781,x10782)+E(f298(x10783,x10784,x10781,x10785),f298(x10783,x10784,x10782,x10785)) % 209.33/209.65 [1079]~E(x10791,x10792)+E(f298(x10793,x10794,x10795,x10791),f298(x10793,x10794,x10795,x10792)) % 209.33/209.65 [1080]~E(x10801,x10802)+E(f815(x10801,x10803,x10804,x10805,x10806,x10807,x10808),f815(x10802,x10803,x10804,x10805,x10806,x10807,x10808)) % 209.33/209.65 [1081]~E(x10811,x10812)+E(f815(x10813,x10811,x10814,x10815,x10816,x10817,x10818),f815(x10813,x10812,x10814,x10815,x10816,x10817,x10818)) % 209.33/209.65 [1082]~E(x10821,x10822)+E(f815(x10823,x10824,x10821,x10825,x10826,x10827,x10828),f815(x10823,x10824,x10822,x10825,x10826,x10827,x10828)) % 209.33/209.65 [1083]~E(x10831,x10832)+E(f815(x10833,x10834,x10835,x10831,x10836,x10837,x10838),f815(x10833,x10834,x10835,x10832,x10836,x10837,x10838)) % 209.33/209.65 [1084]~E(x10841,x10842)+E(f815(x10843,x10844,x10845,x10846,x10841,x10847,x10848),f815(x10843,x10844,x10845,x10846,x10842,x10847,x10848)) % 209.33/209.65 [1085]~E(x10851,x10852)+E(f815(x10853,x10854,x10855,x10856,x10857,x10851,x10858),f815(x10853,x10854,x10855,x10856,x10857,x10852,x10858)) % 209.33/209.65 [1086]~E(x10861,x10862)+E(f815(x10863,x10864,x10865,x10866,x10867,x10868,x10861),f815(x10863,x10864,x10865,x10866,x10867,x10868,x10862)) % 209.33/209.65 [1087]~E(x10871,x10872)+E(f305(x10871,x10873,x10874,x10875,x10876),f305(x10872,x10873,x10874,x10875,x10876)) % 209.33/209.65 [1088]~E(x10881,x10882)+E(f305(x10883,x10881,x10884,x10885,x10886),f305(x10883,x10882,x10884,x10885,x10886)) % 209.33/209.65 [1089]~E(x10891,x10892)+E(f305(x10893,x10894,x10891,x10895,x10896),f305(x10893,x10894,x10892,x10895,x10896)) % 209.33/209.65 [1090]~E(x10901,x10902)+E(f305(x10903,x10904,x10905,x10901,x10906),f305(x10903,x10904,x10905,x10902,x10906)) % 209.33/209.65 [1091]~E(x10911,x10912)+E(f305(x10913,x10914,x10915,x10916,x10911),f305(x10913,x10914,x10915,x10916,x10912)) % 209.33/209.65 [1092]~E(x10921,x10922)+E(f405(x10921,x10923,x10924,x10925),f405(x10922,x10923,x10924,x10925)) % 209.33/209.65 [1093]~E(x10931,x10932)+E(f405(x10933,x10931,x10934,x10935),f405(x10933,x10932,x10934,x10935)) % 209.33/209.65 [1094]~E(x10941,x10942)+E(f405(x10943,x10944,x10941,x10945),f405(x10943,x10944,x10942,x10945)) % 209.33/209.65 [1095]~E(x10951,x10952)+E(f405(x10953,x10954,x10955,x10951),f405(x10953,x10954,x10955,x10952)) % 209.33/209.65 [1096]~E(x10961,x10962)+E(f473(x10961,x10963,x10964),f473(x10962,x10963,x10964)) % 209.33/209.65 [1097]~E(x10971,x10972)+E(f473(x10973,x10971,x10974),f473(x10973,x10972,x10974)) % 209.33/209.65 [1098]~E(x10981,x10982)+E(f473(x10983,x10984,x10981),f473(x10983,x10984,x10982)) % 209.33/209.65 [1099]~E(x10991,x10992)+E(f201(x10991,x10993),f201(x10992,x10993)) % 209.33/209.65 [1100]~E(x11001,x11002)+E(f201(x11003,x11001),f201(x11003,x11002)) % 209.33/209.65 [1101]~E(x11011,x11012)+E(f58(x11011,x11013),f58(x11012,x11013)) % 209.33/209.65 [1102]~E(x11021,x11022)+E(f58(x11023,x11021),f58(x11023,x11022)) % 209.33/209.65 [1103]~E(x11031,x11032)+E(f382(x11031,x11033),f382(x11032,x11033)) % 209.33/209.65 [1104]~E(x11041,x11042)+E(f382(x11043,x11041),f382(x11043,x11042)) % 209.33/209.65 [1105]~E(x11051,x11052)+E(f515(x11051,x11053,x11054),f515(x11052,x11053,x11054)) % 209.33/209.65 [1106]~E(x11061,x11062)+E(f515(x11063,x11061,x11064),f515(x11063,x11062,x11064)) % 209.33/209.65 [1107]~E(x11071,x11072)+E(f515(x11073,x11074,x11071),f515(x11073,x11074,x11072)) % 209.33/209.65 [1108]~E(x11081,x11082)+E(f858(x11081,x11083,x11084,x11085,x11086,x11087,x11088,x11089),f858(x11082,x11083,x11084,x11085,x11086,x11087,x11088,x11089)) % 209.33/209.65 [1109]~E(x11091,x11092)+E(f858(x11093,x11091,x11094,x11095,x11096,x11097,x11098,x11099),f858(x11093,x11092,x11094,x11095,x11096,x11097,x11098,x11099)) % 209.33/209.65 [1110]~E(x11101,x11102)+E(f858(x11103,x11104,x11101,x11105,x11106,x11107,x11108,x11109),f858(x11103,x11104,x11102,x11105,x11106,x11107,x11108,x11109)) % 209.33/209.65 [1111]~E(x11111,x11112)+E(f858(x11113,x11114,x11115,x11111,x11116,x11117,x11118,x11119),f858(x11113,x11114,x11115,x11112,x11116,x11117,x11118,x11119)) % 209.33/209.65 [1112]~E(x11121,x11122)+E(f858(x11123,x11124,x11125,x11126,x11121,x11127,x11128,x11129),f858(x11123,x11124,x11125,x11126,x11122,x11127,x11128,x11129)) % 209.33/209.65 [1113]~E(x11131,x11132)+E(f858(x11133,x11134,x11135,x11136,x11137,x11131,x11138,x11139),f858(x11133,x11134,x11135,x11136,x11137,x11132,x11138,x11139)) % 209.33/209.65 [1114]~E(x11141,x11142)+E(f858(x11143,x11144,x11145,x11146,x11147,x11148,x11141,x11149),f858(x11143,x11144,x11145,x11146,x11147,x11148,x11142,x11149)) % 209.33/209.65 [1115]~E(x11151,x11152)+E(f858(x11153,x11154,x11155,x11156,x11157,x11158,x11159,x11151),f858(x11153,x11154,x11155,x11156,x11157,x11158,x11159,x11152)) % 209.33/209.65 [1116]~E(x11161,x11162)+E(f810(x11161,x11163,x11164,x11165),f810(x11162,x11163,x11164,x11165)) % 209.33/209.65 [1117]~E(x11171,x11172)+E(f810(x11173,x11171,x11174,x11175),f810(x11173,x11172,x11174,x11175)) % 209.33/209.65 [1118]~E(x11181,x11182)+E(f810(x11183,x11184,x11181,x11185),f810(x11183,x11184,x11182,x11185)) % 209.33/209.65 [1119]~E(x11191,x11192)+E(f810(x11193,x11194,x11195,x11191),f810(x11193,x11194,x11195,x11192)) % 209.33/209.65 [1120]~E(x11201,x11202)+E(f173(x11201,x11203,x11204),f173(x11202,x11203,x11204)) % 209.33/209.65 [1121]~E(x11211,x11212)+E(f173(x11213,x11211,x11214),f173(x11213,x11212,x11214)) % 209.33/209.65 [1122]~E(x11221,x11222)+E(f173(x11223,x11224,x11221),f173(x11223,x11224,x11222)) % 209.33/209.65 [1123]~E(x11231,x11232)+E(f388(x11231,x11233,x11234,x11235),f388(x11232,x11233,x11234,x11235)) % 209.33/209.65 [1124]~E(x11241,x11242)+E(f388(x11243,x11241,x11244,x11245),f388(x11243,x11242,x11244,x11245)) % 209.33/209.65 [1125]~E(x11251,x11252)+E(f388(x11253,x11254,x11251,x11255),f388(x11253,x11254,x11252,x11255)) % 209.33/209.65 [1126]~E(x11261,x11262)+E(f388(x11263,x11264,x11265,x11261),f388(x11263,x11264,x11265,x11262)) % 209.33/209.65 [1127]~E(x11271,x11272)+E(f428(x11271,x11273,x11274,x11275),f428(x11272,x11273,x11274,x11275)) % 209.33/209.65 [1128]~E(x11281,x11282)+E(f428(x11283,x11281,x11284,x11285),f428(x11283,x11282,x11284,x11285)) % 209.33/209.65 [1129]~E(x11291,x11292)+E(f428(x11293,x11294,x11291,x11295),f428(x11293,x11294,x11292,x11295)) % 209.33/209.65 [1130]~E(x11301,x11302)+E(f428(x11303,x11304,x11305,x11301),f428(x11303,x11304,x11305,x11302)) % 209.33/209.65 [1131]~E(x11311,x11312)+E(f767(x11311,x11313,x11314,x11315,x11316),f767(x11312,x11313,x11314,x11315,x11316)) % 209.33/209.65 [1132]~E(x11321,x11322)+E(f767(x11323,x11321,x11324,x11325,x11326),f767(x11323,x11322,x11324,x11325,x11326)) % 209.33/209.65 [1133]~E(x11331,x11332)+E(f767(x11333,x11334,x11331,x11335,x11336),f767(x11333,x11334,x11332,x11335,x11336)) % 209.33/209.65 [1134]~E(x11341,x11342)+E(f767(x11343,x11344,x11345,x11341,x11346),f767(x11343,x11344,x11345,x11342,x11346)) % 209.33/209.65 [1135]~E(x11351,x11352)+E(f767(x11353,x11354,x11355,x11356,x11351),f767(x11353,x11354,x11355,x11356,x11352)) % 209.33/209.65 [1136]~E(x11361,x11362)+E(f419(x11361,x11363),f419(x11362,x11363)) % 209.33/209.65 [1137]~E(x11371,x11372)+E(f419(x11373,x11371),f419(x11373,x11372)) % 209.33/209.65 [1138]~E(x11381,x11382)+E(f919(x11381,x11383,x11384),f919(x11382,x11383,x11384)) % 209.33/209.65 [1139]~E(x11391,x11392)+E(f919(x11393,x11391,x11394),f919(x11393,x11392,x11394)) % 209.33/209.65 [1140]~E(x11401,x11402)+E(f919(x11403,x11404,x11401),f919(x11403,x11404,x11402)) % 209.33/209.65 [1141]~E(x11411,x11412)+E(f903(x11411,x11413,x11414,x11415,x11416,x11417),f903(x11412,x11413,x11414,x11415,x11416,x11417)) % 209.33/209.65 [1142]~E(x11421,x11422)+E(f903(x11423,x11421,x11424,x11425,x11426,x11427),f903(x11423,x11422,x11424,x11425,x11426,x11427)) % 209.33/209.65 [1143]~E(x11431,x11432)+E(f903(x11433,x11434,x11431,x11435,x11436,x11437),f903(x11433,x11434,x11432,x11435,x11436,x11437)) % 209.33/209.65 [1144]~E(x11441,x11442)+E(f903(x11443,x11444,x11445,x11441,x11446,x11447),f903(x11443,x11444,x11445,x11442,x11446,x11447)) % 209.33/209.65 [1145]~E(x11451,x11452)+E(f903(x11453,x11454,x11455,x11456,x11451,x11457),f903(x11453,x11454,x11455,x11456,x11452,x11457)) % 209.33/209.65 [1146]~E(x11461,x11462)+E(f903(x11463,x11464,x11465,x11466,x11467,x11461),f903(x11463,x11464,x11465,x11466,x11467,x11462)) % 209.33/209.65 [1147]~E(x11471,x11472)+E(f660(x11471,x11473,x11474,x11475,x11476,x11477,x11478),f660(x11472,x11473,x11474,x11475,x11476,x11477,x11478)) % 209.33/209.65 [1148]~E(x11481,x11482)+E(f660(x11483,x11481,x11484,x11485,x11486,x11487,x11488),f660(x11483,x11482,x11484,x11485,x11486,x11487,x11488)) % 209.33/209.65 [1149]~E(x11491,x11492)+E(f660(x11493,x11494,x11491,x11495,x11496,x11497,x11498),f660(x11493,x11494,x11492,x11495,x11496,x11497,x11498)) % 209.33/209.65 [1150]~E(x11501,x11502)+E(f660(x11503,x11504,x11505,x11501,x11506,x11507,x11508),f660(x11503,x11504,x11505,x11502,x11506,x11507,x11508)) % 209.33/209.65 [1151]~E(x11511,x11512)+E(f660(x11513,x11514,x11515,x11516,x11511,x11517,x11518),f660(x11513,x11514,x11515,x11516,x11512,x11517,x11518)) % 209.33/209.65 [1152]~E(x11521,x11522)+E(f660(x11523,x11524,x11525,x11526,x11527,x11521,x11528),f660(x11523,x11524,x11525,x11526,x11527,x11522,x11528)) % 209.33/209.65 [1153]~E(x11531,x11532)+E(f660(x11533,x11534,x11535,x11536,x11537,x11538,x11531),f660(x11533,x11534,x11535,x11536,x11537,x11538,x11532)) % 209.33/209.65 [1154]~E(x11541,x11542)+E(f561(x11541,x11543,x11544),f561(x11542,x11543,x11544)) % 209.33/209.65 [1155]~E(x11551,x11552)+E(f561(x11553,x11551,x11554),f561(x11553,x11552,x11554)) % 209.33/209.65 [1156]~E(x11561,x11562)+E(f561(x11563,x11564,x11561),f561(x11563,x11564,x11562)) % 209.33/209.65 [1157]~E(x11571,x11572)+E(f495(x11571,x11573,x11574,x11575,x11576),f495(x11572,x11573,x11574,x11575,x11576)) % 209.33/209.65 [1158]~E(x11581,x11582)+E(f495(x11583,x11581,x11584,x11585,x11586),f495(x11583,x11582,x11584,x11585,x11586)) % 209.33/209.65 [1159]~E(x11591,x11592)+E(f495(x11593,x11594,x11591,x11595,x11596),f495(x11593,x11594,x11592,x11595,x11596)) % 209.33/209.65 [1160]~E(x11601,x11602)+E(f495(x11603,x11604,x11605,x11601,x11606),f495(x11603,x11604,x11605,x11602,x11606)) % 209.33/209.65 [1161]~E(x11611,x11612)+E(f495(x11613,x11614,x11615,x11616,x11611),f495(x11613,x11614,x11615,x11616,x11612)) % 209.33/209.65 [1162]~E(x11621,x11622)+E(f430(x11621,x11623,x11624,x11625,x11626),f430(x11622,x11623,x11624,x11625,x11626)) % 209.33/209.65 [1163]~E(x11631,x11632)+E(f430(x11633,x11631,x11634,x11635,x11636),f430(x11633,x11632,x11634,x11635,x11636)) % 209.33/209.65 [1164]~E(x11641,x11642)+E(f430(x11643,x11644,x11641,x11645,x11646),f430(x11643,x11644,x11642,x11645,x11646)) % 209.33/209.65 [1165]~E(x11651,x11652)+E(f430(x11653,x11654,x11655,x11651,x11656),f430(x11653,x11654,x11655,x11652,x11656)) % 209.33/209.65 [1166]~E(x11661,x11662)+E(f430(x11663,x11664,x11665,x11666,x11661),f430(x11663,x11664,x11665,x11666,x11662)) % 209.33/209.65 [1167]~E(x11671,x11672)+E(f133(x11671,x11673,x11674),f133(x11672,x11673,x11674)) % 209.33/209.65 [1168]~E(x11681,x11682)+E(f133(x11683,x11681,x11684),f133(x11683,x11682,x11684)) % 209.33/209.65 [1169]~E(x11691,x11692)+E(f133(x11693,x11694,x11691),f133(x11693,x11694,x11692)) % 209.33/209.65 [1170]~E(x11701,x11702)+E(f832(x11701),f832(x11702)) % 209.33/209.65 [1171]~E(x11711,x11712)+E(f392(x11711,x11713,x11714),f392(x11712,x11713,x11714)) % 209.33/209.65 [1172]~E(x11721,x11722)+E(f392(x11723,x11721,x11724),f392(x11723,x11722,x11724)) % 209.33/209.65 [1173]~E(x11731,x11732)+E(f392(x11733,x11734,x11731),f392(x11733,x11734,x11732)) % 209.33/209.65 [1174]~E(x11741,x11742)+E(f406(x11741,x11743,x11744),f406(x11742,x11743,x11744)) % 209.33/209.65 [1175]~E(x11751,x11752)+E(f406(x11753,x11751,x11754),f406(x11753,x11752,x11754)) % 209.33/209.65 [1176]~E(x11761,x11762)+E(f406(x11763,x11764,x11761),f406(x11763,x11764,x11762)) % 209.33/209.65 [1177]~E(x11771,x11772)+E(f281(x11771,x11773,x11774,x11775),f281(x11772,x11773,x11774,x11775)) % 209.33/209.65 [1178]~E(x11781,x11782)+E(f281(x11783,x11781,x11784,x11785),f281(x11783,x11782,x11784,x11785)) % 209.33/209.65 [1179]~E(x11791,x11792)+E(f281(x11793,x11794,x11791,x11795),f281(x11793,x11794,x11792,x11795)) % 209.33/209.65 [1180]~E(x11801,x11802)+E(f281(x11803,x11804,x11805,x11801),f281(x11803,x11804,x11805,x11802)) % 209.33/209.65 [1181]~E(x11811,x11812)+E(f482(x11811,x11813,x11814),f482(x11812,x11813,x11814)) % 209.33/209.65 [1182]~E(x11821,x11822)+E(f482(x11823,x11821,x11824),f482(x11823,x11822,x11824)) % 209.33/209.65 [1183]~E(x11831,x11832)+E(f482(x11833,x11834,x11831),f482(x11833,x11834,x11832)) % 209.33/209.65 [1184]~E(x11841,x11842)+E(f135(x11841,x11843),f135(x11842,x11843)) % 209.33/209.65 [1185]~E(x11851,x11852)+E(f135(x11853,x11851),f135(x11853,x11852)) % 209.33/209.65 [1186]~E(x11861,x11862)+E(f421(x11861,x11863),f421(x11862,x11863)) % 209.33/209.65 [1187]~E(x11871,x11872)+E(f421(x11873,x11871),f421(x11873,x11872)) % 209.33/209.65 [1188]~E(x11881,x11882)+E(f890(x11881,x11883),f890(x11882,x11883)) % 209.33/209.65 [1189]~E(x11891,x11892)+E(f890(x11893,x11891),f890(x11893,x11892)) % 209.33/209.65 [1190]~E(x11901,x11902)+E(f530(x11901,x11903,x11904,x11905,x11906,x11907,x11908),f530(x11902,x11903,x11904,x11905,x11906,x11907,x11908)) % 209.33/209.65 [1191]~E(x11911,x11912)+E(f530(x11913,x11911,x11914,x11915,x11916,x11917,x11918),f530(x11913,x11912,x11914,x11915,x11916,x11917,x11918)) % 209.33/209.65 [1192]~E(x11921,x11922)+E(f530(x11923,x11924,x11921,x11925,x11926,x11927,x11928),f530(x11923,x11924,x11922,x11925,x11926,x11927,x11928)) % 209.33/209.65 [1193]~E(x11931,x11932)+E(f530(x11933,x11934,x11935,x11931,x11936,x11937,x11938),f530(x11933,x11934,x11935,x11932,x11936,x11937,x11938)) % 209.33/209.65 [1194]~E(x11941,x11942)+E(f530(x11943,x11944,x11945,x11946,x11941,x11947,x11948),f530(x11943,x11944,x11945,x11946,x11942,x11947,x11948)) % 209.33/209.65 [1195]~E(x11951,x11952)+E(f530(x11953,x11954,x11955,x11956,x11957,x11951,x11958),f530(x11953,x11954,x11955,x11956,x11957,x11952,x11958)) % 209.33/209.65 [1196]~E(x11961,x11962)+E(f530(x11963,x11964,x11965,x11966,x11967,x11968,x11961),f530(x11963,x11964,x11965,x11966,x11967,x11968,x11962)) % 209.33/209.65 [1197]~E(x11971,x11972)+E(f501(x11971,x11973,x11974),f501(x11972,x11973,x11974)) % 209.33/209.65 [1198]~E(x11981,x11982)+E(f501(x11983,x11981,x11984),f501(x11983,x11982,x11984)) % 209.33/209.65 [1199]~E(x11991,x11992)+E(f501(x11993,x11994,x11991),f501(x11993,x11994,x11992)) % 209.33/209.65 [1200]~E(x12001,x12002)+E(f875(x12001,x12003,x12004),f875(x12002,x12003,x12004)) % 209.33/209.65 [1201]~E(x12011,x12012)+E(f875(x12013,x12011,x12014),f875(x12013,x12012,x12014)) % 209.33/209.65 [1202]~E(x12021,x12022)+E(f875(x12023,x12024,x12021),f875(x12023,x12024,x12022)) % 209.33/209.65 [1203]~E(x12031,x12032)+E(f755(x12031,x12033,x12034,x12035,x12036,x12037,x12038),f755(x12032,x12033,x12034,x12035,x12036,x12037,x12038)) % 209.33/209.65 [1204]~E(x12041,x12042)+E(f755(x12043,x12041,x12044,x12045,x12046,x12047,x12048),f755(x12043,x12042,x12044,x12045,x12046,x12047,x12048)) % 209.33/209.65 [1205]~E(x12051,x12052)+E(f755(x12053,x12054,x12051,x12055,x12056,x12057,x12058),f755(x12053,x12054,x12052,x12055,x12056,x12057,x12058)) % 209.33/209.65 [1206]~E(x12061,x12062)+E(f755(x12063,x12064,x12065,x12061,x12066,x12067,x12068),f755(x12063,x12064,x12065,x12062,x12066,x12067,x12068)) % 209.33/209.65 [1207]~E(x12071,x12072)+E(f755(x12073,x12074,x12075,x12076,x12071,x12077,x12078),f755(x12073,x12074,x12075,x12076,x12072,x12077,x12078)) % 209.33/209.65 [1208]~E(x12081,x12082)+E(f755(x12083,x12084,x12085,x12086,x12087,x12081,x12088),f755(x12083,x12084,x12085,x12086,x12087,x12082,x12088)) % 209.33/209.65 [1209]~E(x12091,x12092)+E(f755(x12093,x12094,x12095,x12096,x12097,x12098,x12091),f755(x12093,x12094,x12095,x12096,x12097,x12098,x12092)) % 209.33/209.65 [1210]~E(x12101,x12102)+E(f187(x12101),f187(x12102)) % 209.33/209.65 [1211]~E(x12111,x12112)+E(f162(x12111,x12113,x12114),f162(x12112,x12113,x12114)) % 209.33/209.65 [1212]~E(x12121,x12122)+E(f162(x12123,x12121,x12124),f162(x12123,x12122,x12124)) % 209.33/209.65 [1213]~E(x12131,x12132)+E(f162(x12133,x12134,x12131),f162(x12133,x12134,x12132)) % 209.33/209.65 [1214]~E(x12141,x12142)+E(f732(x12141,x12143),f732(x12142,x12143)) % 209.33/209.65 [1215]~E(x12151,x12152)+E(f732(x12153,x12151),f732(x12153,x12152)) % 209.33/209.65 [1216]~E(x12161,x12162)+E(f852(x12161,x12163,x12164,x12165,x12166),f852(x12162,x12163,x12164,x12165,x12166)) % 209.33/209.65 [1217]~E(x12171,x12172)+E(f852(x12173,x12171,x12174,x12175,x12176),f852(x12173,x12172,x12174,x12175,x12176)) % 209.33/209.65 [1218]~E(x12181,x12182)+E(f852(x12183,x12184,x12181,x12185,x12186),f852(x12183,x12184,x12182,x12185,x12186)) % 209.33/209.65 [1219]~E(x12191,x12192)+E(f852(x12193,x12194,x12195,x12191,x12196),f852(x12193,x12194,x12195,x12192,x12196)) % 209.33/209.65 [1220]~E(x12201,x12202)+E(f852(x12203,x12204,x12205,x12206,x12201),f852(x12203,x12204,x12205,x12206,x12202)) % 209.33/209.65 [1221]~E(x12211,x12212)+E(f232(x12211,x12213,x12214,x12215,x12216),f232(x12212,x12213,x12214,x12215,x12216)) % 209.33/209.65 [1222]~E(x12221,x12222)+E(f232(x12223,x12221,x12224,x12225,x12226),f232(x12223,x12222,x12224,x12225,x12226)) % 209.33/209.65 [1223]~E(x12231,x12232)+E(f232(x12233,x12234,x12231,x12235,x12236),f232(x12233,x12234,x12232,x12235,x12236)) % 209.33/209.65 [1224]~E(x12241,x12242)+E(f232(x12243,x12244,x12245,x12241,x12246),f232(x12243,x12244,x12245,x12242,x12246)) % 209.33/209.65 [1225]~E(x12251,x12252)+E(f232(x12253,x12254,x12255,x12256,x12251),f232(x12253,x12254,x12255,x12256,x12252)) % 209.33/209.65 [1226]~E(x12261,x12262)+E(f51(x12261,x12263),f51(x12262,x12263)) % 209.33/209.65 [1227]~E(x12271,x12272)+E(f51(x12273,x12271),f51(x12273,x12272)) % 209.33/209.65 [1228]~E(x12281,x12282)+E(f839(x12281,x12283),f839(x12282,x12283)) % 209.33/209.65 [1229]~E(x12291,x12292)+E(f839(x12293,x12291),f839(x12293,x12292)) % 209.33/209.65 [1230]~E(x12301,x12302)+E(f205(x12301,x12303,x12304,x12305),f205(x12302,x12303,x12304,x12305)) % 209.33/209.65 [1231]~E(x12311,x12312)+E(f205(x12313,x12311,x12314,x12315),f205(x12313,x12312,x12314,x12315)) % 209.33/209.65 [1232]~E(x12321,x12322)+E(f205(x12323,x12324,x12321,x12325),f205(x12323,x12324,x12322,x12325)) % 209.33/209.65 [1233]~E(x12331,x12332)+E(f205(x12333,x12334,x12335,x12331),f205(x12333,x12334,x12335,x12332)) % 209.33/209.65 [1234]~E(x12341,x12342)+E(f587(x12341,x12343,x12344),f587(x12342,x12343,x12344)) % 209.33/209.65 [1235]~E(x12351,x12352)+E(f587(x12353,x12351,x12354),f587(x12353,x12352,x12354)) % 209.33/209.65 [1236]~E(x12361,x12362)+E(f587(x12363,x12364,x12361),f587(x12363,x12364,x12362)) % 209.33/209.65 [1237]~E(x12371,x12372)+E(f792(x12371,x12373,x12374),f792(x12372,x12373,x12374)) % 209.33/209.65 [1238]~E(x12381,x12382)+E(f792(x12383,x12381,x12384),f792(x12383,x12382,x12384)) % 209.33/209.65 [1239]~E(x12391,x12392)+E(f792(x12393,x12394,x12391),f792(x12393,x12394,x12392)) % 209.33/209.65 [1240]~E(x12401,x12402)+E(f834(x12401,x12403,x12404,x12405,x12406,x12407),f834(x12402,x12403,x12404,x12405,x12406,x12407)) % 209.33/209.65 [1241]~E(x12411,x12412)+E(f834(x12413,x12411,x12414,x12415,x12416,x12417),f834(x12413,x12412,x12414,x12415,x12416,x12417)) % 209.33/209.65 [1242]~E(x12421,x12422)+E(f834(x12423,x12424,x12421,x12425,x12426,x12427),f834(x12423,x12424,x12422,x12425,x12426,x12427)) % 209.33/209.65 [1243]~E(x12431,x12432)+E(f834(x12433,x12434,x12435,x12431,x12436,x12437),f834(x12433,x12434,x12435,x12432,x12436,x12437)) % 209.33/209.65 [1244]~E(x12441,x12442)+E(f834(x12443,x12444,x12445,x12446,x12441,x12447),f834(x12443,x12444,x12445,x12446,x12442,x12447)) % 209.33/209.65 [1245]~E(x12451,x12452)+E(f834(x12453,x12454,x12455,x12456,x12457,x12451),f834(x12453,x12454,x12455,x12456,x12457,x12452)) % 209.33/209.65 [1246]~E(x12461,x12462)+E(f830(x12461,x12463),f830(x12462,x12463)) % 209.33/209.65 [1247]~E(x12471,x12472)+E(f830(x12473,x12471),f830(x12473,x12472)) % 209.33/209.65 [1248]~E(x12481,x12482)+E(f843(x12481,x12483,x12484),f843(x12482,x12483,x12484)) % 209.33/209.65 [1249]~E(x12491,x12492)+E(f843(x12493,x12491,x12494),f843(x12493,x12492,x12494)) % 209.33/209.65 [1250]~E(x12501,x12502)+E(f843(x12503,x12504,x12501),f843(x12503,x12504,x12502)) % 209.33/209.65 [1251]~E(x12511,x12512)+E(f716(x12511,x12513,x12514),f716(x12512,x12513,x12514)) % 209.33/209.65 [1252]~E(x12521,x12522)+E(f716(x12523,x12521,x12524),f716(x12523,x12522,x12524)) % 209.33/209.65 [1253]~E(x12531,x12532)+E(f716(x12533,x12534,x12531),f716(x12533,x12534,x12532)) % 209.33/209.65 [1254]~E(x12541,x12542)+E(f147(x12541,x12543,x12544),f147(x12542,x12543,x12544)) % 209.33/209.65 [1255]~E(x12551,x12552)+E(f147(x12553,x12551,x12554),f147(x12553,x12552,x12554)) % 209.33/209.65 [1256]~E(x12561,x12562)+E(f147(x12563,x12564,x12561),f147(x12563,x12564,x12562)) % 209.33/209.65 [1257]~E(x12571,x12572)+E(f685(x12571,x12573,x12574),f685(x12572,x12573,x12574)) % 209.33/209.65 [1258]~E(x12581,x12582)+E(f685(x12583,x12581,x12584),f685(x12583,x12582,x12584)) % 209.33/209.65 [1259]~E(x12591,x12592)+E(f685(x12593,x12594,x12591),f685(x12593,x12594,x12592)) % 209.33/209.65 [1260]~E(x12601,x12602)+E(f496(x12601,x12603,x12604),f496(x12602,x12603,x12604)) % 209.33/209.65 [1261]~E(x12611,x12612)+E(f496(x12613,x12611,x12614),f496(x12613,x12612,x12614)) % 209.33/209.65 [1262]~E(x12621,x12622)+E(f496(x12623,x12624,x12621),f496(x12623,x12624,x12622)) % 209.33/209.65 [1263]~E(x12631,x12632)+E(f795(x12631,x12633,x12634,x12635),f795(x12632,x12633,x12634,x12635)) % 209.33/209.65 [1264]~E(x12641,x12642)+E(f795(x12643,x12641,x12644,x12645),f795(x12643,x12642,x12644,x12645)) % 209.33/209.65 [1265]~E(x12651,x12652)+E(f795(x12653,x12654,x12651,x12655),f795(x12653,x12654,x12652,x12655)) % 209.33/209.65 [1266]~E(x12661,x12662)+E(f795(x12663,x12664,x12665,x12661),f795(x12663,x12664,x12665,x12662)) % 209.33/209.65 [1267]~E(x12671,x12672)+E(f229(x12671,x12673,x12674,x12675),f229(x12672,x12673,x12674,x12675)) % 209.33/209.65 [1268]~E(x12681,x12682)+E(f229(x12683,x12681,x12684,x12685),f229(x12683,x12682,x12684,x12685)) % 209.33/209.65 [1269]~E(x12691,x12692)+E(f229(x12693,x12694,x12691,x12695),f229(x12693,x12694,x12692,x12695)) % 209.33/209.65 [1270]~E(x12701,x12702)+E(f229(x12703,x12704,x12705,x12701),f229(x12703,x12704,x12705,x12702)) % 209.33/209.65 [1271]~E(x12711,x12712)+E(f245(x12711,x12713),f245(x12712,x12713)) % 209.33/209.65 [1272]~E(x12721,x12722)+E(f245(x12723,x12721),f245(x12723,x12722)) % 209.33/209.65 [1273]~E(x12731,x12732)+E(f738(x12731,x12733,x12734),f738(x12732,x12733,x12734)) % 209.33/209.65 [1274]~E(x12741,x12742)+E(f738(x12743,x12741,x12744),f738(x12743,x12742,x12744)) % 209.33/209.65 [1275]~E(x12751,x12752)+E(f738(x12753,x12754,x12751),f738(x12753,x12754,x12752)) % 209.33/209.65 [1276]~E(x12761,x12762)+E(f647(x12761,x12763,x12764,x12765),f647(x12762,x12763,x12764,x12765)) % 209.33/209.65 [1277]~E(x12771,x12772)+E(f647(x12773,x12771,x12774,x12775),f647(x12773,x12772,x12774,x12775)) % 209.33/209.65 [1278]~E(x12781,x12782)+E(f647(x12783,x12784,x12781,x12785),f647(x12783,x12784,x12782,x12785)) % 209.33/209.65 [1279]~E(x12791,x12792)+E(f647(x12793,x12794,x12795,x12791),f647(x12793,x12794,x12795,x12792)) % 209.33/209.65 [1280]~E(x12801,x12802)+E(f208(x12801,x12803),f208(x12802,x12803)) % 209.33/209.65 [1281]~E(x12811,x12812)+E(f208(x12813,x12811),f208(x12813,x12812)) % 209.33/209.65 [1282]~E(x12821,x12822)+E(f700(x12821,x12823,x12824,x12825),f700(x12822,x12823,x12824,x12825)) % 209.33/209.65 [1283]~E(x12831,x12832)+E(f700(x12833,x12831,x12834,x12835),f700(x12833,x12832,x12834,x12835)) % 209.33/209.65 [1284]~E(x12841,x12842)+E(f700(x12843,x12844,x12841,x12845),f700(x12843,x12844,x12842,x12845)) % 209.33/209.65 [1285]~E(x12851,x12852)+E(f700(x12853,x12854,x12855,x12851),f700(x12853,x12854,x12855,x12852)) % 209.33/209.65 [1286]~E(x12861,x12862)+E(f307(x12861,x12863,x12864,x12865),f307(x12862,x12863,x12864,x12865)) % 209.33/209.65 [1287]~E(x12871,x12872)+E(f307(x12873,x12871,x12874,x12875),f307(x12873,x12872,x12874,x12875)) % 209.33/209.65 [1288]~E(x12881,x12882)+E(f307(x12883,x12884,x12881,x12885),f307(x12883,x12884,x12882,x12885)) % 209.33/209.65 [1289]~E(x12891,x12892)+E(f307(x12893,x12894,x12895,x12891),f307(x12893,x12894,x12895,x12892)) % 209.33/209.65 [1290]~E(x12901,x12902)+E(f646(x12901,x12903,x12904,x12905,x12906,x12907,x12908),f646(x12902,x12903,x12904,x12905,x12906,x12907,x12908)) % 209.33/209.65 [1291]~E(x12911,x12912)+E(f646(x12913,x12911,x12914,x12915,x12916,x12917,x12918),f646(x12913,x12912,x12914,x12915,x12916,x12917,x12918)) % 209.33/209.65 [1292]~E(x12921,x12922)+E(f646(x12923,x12924,x12921,x12925,x12926,x12927,x12928),f646(x12923,x12924,x12922,x12925,x12926,x12927,x12928)) % 209.33/209.65 [1293]~E(x12931,x12932)+E(f646(x12933,x12934,x12935,x12931,x12936,x12937,x12938),f646(x12933,x12934,x12935,x12932,x12936,x12937,x12938)) % 209.33/209.65 [1294]~E(x12941,x12942)+E(f646(x12943,x12944,x12945,x12946,x12941,x12947,x12948),f646(x12943,x12944,x12945,x12946,x12942,x12947,x12948)) % 209.33/209.65 [1295]~E(x12951,x12952)+E(f646(x12953,x12954,x12955,x12956,x12957,x12951,x12958),f646(x12953,x12954,x12955,x12956,x12957,x12952,x12958)) % 209.33/209.65 [1296]~E(x12961,x12962)+E(f646(x12963,x12964,x12965,x12966,x12967,x12968,x12961),f646(x12963,x12964,x12965,x12966,x12967,x12968,x12962)) % 209.33/209.65 [1297]~E(x12971,x12972)+E(f833(x12971,x12973,x12974),f833(x12972,x12973,x12974)) % 209.33/209.65 [1298]~E(x12981,x12982)+E(f833(x12983,x12981,x12984),f833(x12983,x12982,x12984)) % 209.33/209.65 [1299]~E(x12991,x12992)+E(f833(x12993,x12994,x12991),f833(x12993,x12994,x12992)) % 209.33/209.65 [1300]~E(x13001,x13002)+E(f431(x13001,x13003,x13004,x13005,x13006,x13007),f431(x13002,x13003,x13004,x13005,x13006,x13007)) % 209.33/209.65 [1301]~E(x13011,x13012)+E(f431(x13013,x13011,x13014,x13015,x13016,x13017),f431(x13013,x13012,x13014,x13015,x13016,x13017)) % 209.33/209.65 [1302]~E(x13021,x13022)+E(f431(x13023,x13024,x13021,x13025,x13026,x13027),f431(x13023,x13024,x13022,x13025,x13026,x13027)) % 209.33/209.65 [1303]~E(x13031,x13032)+E(f431(x13033,x13034,x13035,x13031,x13036,x13037),f431(x13033,x13034,x13035,x13032,x13036,x13037)) % 209.33/209.65 [1304]~E(x13041,x13042)+E(f431(x13043,x13044,x13045,x13046,x13041,x13047),f431(x13043,x13044,x13045,x13046,x13042,x13047)) % 209.33/209.65 [1305]~E(x13051,x13052)+E(f431(x13053,x13054,x13055,x13056,x13057,x13051),f431(x13053,x13054,x13055,x13056,x13057,x13052)) % 209.33/209.65 [1306]~E(x13061,x13062)+E(f225(x13061,x13063),f225(x13062,x13063)) % 209.33/209.65 [1307]~E(x13071,x13072)+E(f225(x13073,x13071),f225(x13073,x13072)) % 209.33/209.65 [1308]~E(x13081,x13082)+E(f231(x13081,x13083,x13084),f231(x13082,x13083,x13084)) % 209.33/209.65 [1309]~E(x13091,x13092)+E(f231(x13093,x13091,x13094),f231(x13093,x13092,x13094)) % 209.33/209.65 [1310]~E(x13101,x13102)+E(f231(x13103,x13104,x13101),f231(x13103,x13104,x13102)) % 209.33/209.65 [1311]~E(x13111,x13112)+E(f531(x13111,x13113),f531(x13112,x13113)) % 209.33/209.65 [1312]~E(x13121,x13122)+E(f531(x13123,x13121),f531(x13123,x13122)) % 209.33/209.65 [1313]~E(x13131,x13132)+E(f914(x13131,x13133,x13134),f914(x13132,x13133,x13134)) % 209.33/209.65 [1314]~E(x13141,x13142)+E(f914(x13143,x13141,x13144),f914(x13143,x13142,x13144)) % 209.33/209.65 [1315]~E(x13151,x13152)+E(f914(x13153,x13154,x13151),f914(x13153,x13154,x13152)) % 209.33/209.65 [1316]~E(x13161,x13162)+E(f629(x13161,x13163,x13164),f629(x13162,x13163,x13164)) % 209.33/209.65 [1317]~E(x13171,x13172)+E(f629(x13173,x13171,x13174),f629(x13173,x13172,x13174)) % 209.33/209.65 [1318]~E(x13181,x13182)+E(f629(x13183,x13184,x13181),f629(x13183,x13184,x13182)) % 209.33/209.65 [1319]~E(x13191,x13192)+E(f648(x13191,x13193,x13194,x13195),f648(x13192,x13193,x13194,x13195)) % 209.33/209.65 [1320]~E(x13201,x13202)+E(f648(x13203,x13201,x13204,x13205),f648(x13203,x13202,x13204,x13205)) % 209.33/209.65 [1321]~E(x13211,x13212)+E(f648(x13213,x13214,x13211,x13215),f648(x13213,x13214,x13212,x13215)) % 209.33/209.65 [1322]~E(x13221,x13222)+E(f648(x13223,x13224,x13225,x13221),f648(x13223,x13224,x13225,x13222)) % 209.33/209.65 [1323]~E(x13231,x13232)+E(f597(x13231,x13233,x13234,x13235,x13236,x13237),f597(x13232,x13233,x13234,x13235,x13236,x13237)) % 209.33/209.65 [1324]~E(x13241,x13242)+E(f597(x13243,x13241,x13244,x13245,x13246,x13247),f597(x13243,x13242,x13244,x13245,x13246,x13247)) % 209.33/209.65 [1325]~E(x13251,x13252)+E(f597(x13253,x13254,x13251,x13255,x13256,x13257),f597(x13253,x13254,x13252,x13255,x13256,x13257)) % 209.33/209.65 [1326]~E(x13261,x13262)+E(f597(x13263,x13264,x13265,x13261,x13266,x13267),f597(x13263,x13264,x13265,x13262,x13266,x13267)) % 209.33/209.65 [1327]~E(x13271,x13272)+E(f597(x13273,x13274,x13275,x13276,x13271,x13277),f597(x13273,x13274,x13275,x13276,x13272,x13277)) % 209.33/209.65 [1328]~E(x13281,x13282)+E(f597(x13283,x13284,x13285,x13286,x13287,x13281),f597(x13283,x13284,x13285,x13286,x13287,x13282)) % 209.33/209.65 [1329]~E(x13291,x13292)+E(f157(x13291,x13293,x13294,x13295),f157(x13292,x13293,x13294,x13295)) % 209.33/209.65 [1330]~E(x13301,x13302)+E(f157(x13303,x13301,x13304,x13305),f157(x13303,x13302,x13304,x13305)) % 209.33/209.65 [1331]~E(x13311,x13312)+E(f157(x13313,x13314,x13311,x13315),f157(x13313,x13314,x13312,x13315)) % 209.33/209.65 [1332]~E(x13321,x13322)+E(f157(x13323,x13324,x13325,x13321),f157(x13323,x13324,x13325,x13322)) % 209.33/209.65 [1333]~E(x13331,x13332)+E(f308(x13331,x13333,x13334,x13335,x13336),f308(x13332,x13333,x13334,x13335,x13336)) % 209.33/209.65 [1334]~E(x13341,x13342)+E(f308(x13343,x13341,x13344,x13345,x13346),f308(x13343,x13342,x13344,x13345,x13346)) % 209.33/209.65 [1335]~E(x13351,x13352)+E(f308(x13353,x13354,x13351,x13355,x13356),f308(x13353,x13354,x13352,x13355,x13356)) % 209.33/209.65 [1336]~E(x13361,x13362)+E(f308(x13363,x13364,x13365,x13361,x13366),f308(x13363,x13364,x13365,x13362,x13366)) % 209.33/209.65 [1337]~E(x13371,x13372)+E(f308(x13373,x13374,x13375,x13376,x13371),f308(x13373,x13374,x13375,x13376,x13372)) % 209.33/209.65 [1338]~E(x13381,x13382)+E(f361(x13381,x13383,x13384,x13385),f361(x13382,x13383,x13384,x13385)) % 209.33/209.65 [1339]~E(x13391,x13392)+E(f361(x13393,x13391,x13394,x13395),f361(x13393,x13392,x13394,x13395)) % 209.33/209.65 [1340]~E(x13401,x13402)+E(f361(x13403,x13404,x13401,x13405),f361(x13403,x13404,x13402,x13405)) % 209.33/209.65 [1341]~E(x13411,x13412)+E(f361(x13413,x13414,x13415,x13411),f361(x13413,x13414,x13415,x13412)) % 209.33/209.65 [1342]~E(x13421,x13422)+E(f385(x13421,x13423),f385(x13422,x13423)) % 209.33/209.65 [1343]~E(x13431,x13432)+E(f385(x13433,x13431),f385(x13433,x13432)) % 209.33/209.65 [1344]~E(x13441,x13442)+E(f181(x13441,x13443,x13444),f181(x13442,x13443,x13444)) % 209.33/209.65 [1345]~E(x13451,x13452)+E(f181(x13453,x13451,x13454),f181(x13453,x13452,x13454)) % 209.33/209.65 [1346]~E(x13461,x13462)+E(f181(x13463,x13464,x13461),f181(x13463,x13464,x13462)) % 209.33/209.65 [1347]~E(x13471,x13472)+E(f796(x13471,x13473,x13474,x13475),f796(x13472,x13473,x13474,x13475)) % 209.33/209.65 [1348]~E(x13481,x13482)+E(f796(x13483,x13481,x13484,x13485),f796(x13483,x13482,x13484,x13485)) % 209.33/209.65 [1349]~E(x13491,x13492)+E(f796(x13493,x13494,x13491,x13495),f796(x13493,x13494,x13492,x13495)) % 209.33/209.65 [1350]~E(x13501,x13502)+E(f796(x13503,x13504,x13505,x13501),f796(x13503,x13504,x13505,x13502)) % 209.33/209.65 [1351]~E(x13511,x13512)+E(f502(x13511,x13513,x13514),f502(x13512,x13513,x13514)) % 209.33/209.65 [1352]~E(x13521,x13522)+E(f502(x13523,x13521,x13524),f502(x13523,x13522,x13524)) % 209.33/209.65 [1353]~E(x13531,x13532)+E(f502(x13533,x13534,x13531),f502(x13533,x13534,x13532)) % 209.33/209.65 [1354]~E(x13541,x13542)+E(f142(x13541),f142(x13542)) % 209.33/209.65 [1355]~E(x13551,x13552)+E(f681(x13551,x13553,x13554,x13555),f681(x13552,x13553,x13554,x13555)) % 209.33/209.65 [1356]~E(x13561,x13562)+E(f681(x13563,x13561,x13564,x13565),f681(x13563,x13562,x13564,x13565)) % 209.33/209.65 [1357]~E(x13571,x13572)+E(f681(x13573,x13574,x13571,x13575),f681(x13573,x13574,x13572,x13575)) % 209.33/209.65 [1358]~E(x13581,x13582)+E(f681(x13583,x13584,x13585,x13581),f681(x13583,x13584,x13585,x13582)) % 209.33/209.65 [1359]~E(x13591,x13592)+E(f150(x13591,x13593),f150(x13592,x13593)) % 209.33/209.65 [1360]~E(x13601,x13602)+E(f150(x13603,x13601),f150(x13603,x13602)) % 209.33/209.65 [1361]~E(x13611,x13612)+E(f886(x13611,x13613,x13614,x13615),f886(x13612,x13613,x13614,x13615)) % 209.33/209.65 [1362]~E(x13621,x13622)+E(f886(x13623,x13621,x13624,x13625),f886(x13623,x13622,x13624,x13625)) % 209.33/209.65 [1363]~E(x13631,x13632)+E(f886(x13633,x13634,x13631,x13635),f886(x13633,x13634,x13632,x13635)) % 209.33/209.65 [1364]~E(x13641,x13642)+E(f886(x13643,x13644,x13645,x13641),f886(x13643,x13644,x13645,x13642)) % 209.33/209.65 [1365]~E(x13651,x13652)+E(f476(x13651,x13653,x13654),f476(x13652,x13653,x13654)) % 209.33/209.65 [1366]~E(x13661,x13662)+E(f476(x13663,x13661,x13664),f476(x13663,x13662,x13664)) % 209.33/209.65 [1367]~E(x13671,x13672)+E(f476(x13673,x13674,x13671),f476(x13673,x13674,x13672)) % 209.33/209.65 [1368]~E(x13681,x13682)+E(f411(x13681,x13683),f411(x13682,x13683)) % 209.33/209.65 [1369]~E(x13691,x13692)+E(f411(x13693,x13691),f411(x13693,x13692)) % 209.33/209.65 [1370]~E(x13701,x13702)+E(f557(x13701),f557(x13702)) % 209.33/209.65 [1371]~E(x13711,x13712)+E(f778(x13711,x13713,x13714),f778(x13712,x13713,x13714)) % 209.33/209.65 [1372]~E(x13721,x13722)+E(f778(x13723,x13721,x13724),f778(x13723,x13722,x13724)) % 209.33/209.65 [1373]~E(x13731,x13732)+E(f778(x13733,x13734,x13731),f778(x13733,x13734,x13732)) % 209.33/209.65 [1374]~E(x13741,x13742)+E(f464(x13741),f464(x13742)) % 209.33/209.65 [1375]~E(x13751,x13752)+E(f454(x13751,x13753,x13754),f454(x13752,x13753,x13754)) % 209.33/209.65 [1376]~E(x13761,x13762)+E(f454(x13763,x13761,x13764),f454(x13763,x13762,x13764)) % 209.33/209.65 [1377]~E(x13771,x13772)+E(f454(x13773,x13774,x13771),f454(x13773,x13774,x13772)) % 209.33/209.65 [1378]~E(x13781,x13782)+E(f634(x13781,x13783,x13784,x13785),f634(x13782,x13783,x13784,x13785)) % 209.33/209.65 [1379]~E(x13791,x13792)+E(f634(x13793,x13791,x13794,x13795),f634(x13793,x13792,x13794,x13795)) % 209.33/209.65 [1380]~E(x13801,x13802)+E(f634(x13803,x13804,x13801,x13805),f634(x13803,x13804,x13802,x13805)) % 209.33/209.65 [1381]~E(x13811,x13812)+E(f634(x13813,x13814,x13815,x13811),f634(x13813,x13814,x13815,x13812)) % 209.33/209.65 [1382]~E(x13821,x13822)+E(f793(x13821,x13823,x13824),f793(x13822,x13823,x13824)) % 209.33/209.65 [1383]~E(x13831,x13832)+E(f793(x13833,x13831,x13834),f793(x13833,x13832,x13834)) % 209.33/209.65 [1384]~E(x13841,x13842)+E(f793(x13843,x13844,x13841),f793(x13843,x13844,x13842)) % 209.33/209.65 [1385]~E(x13851,x13852)+E(f455(x13851,x13853,x13854),f455(x13852,x13853,x13854)) % 209.33/209.65 [1386]~E(x13861,x13862)+E(f455(x13863,x13861,x13864),f455(x13863,x13862,x13864)) % 209.33/209.65 [1387]~E(x13871,x13872)+E(f455(x13873,x13874,x13871),f455(x13873,x13874,x13872)) % 209.33/209.65 [1388]~E(x13881,x13882)+E(f288(x13881,x13883,x13884,x13885),f288(x13882,x13883,x13884,x13885)) % 209.33/209.65 [1389]~E(x13891,x13892)+E(f288(x13893,x13891,x13894,x13895),f288(x13893,x13892,x13894,x13895)) % 209.33/209.65 [1390]~E(x13901,x13902)+E(f288(x13903,x13904,x13901,x13905),f288(x13903,x13904,x13902,x13905)) % 209.33/209.65 [1391]~E(x13911,x13912)+E(f288(x13913,x13914,x13915,x13911),f288(x13913,x13914,x13915,x13912)) % 209.33/209.65 [1392]~E(x13921,x13922)+E(f588(x13921,x13923,x13924),f588(x13922,x13923,x13924)) % 209.33/209.65 [1393]~E(x13931,x13932)+E(f588(x13933,x13931,x13934),f588(x13933,x13932,x13934)) % 209.33/209.65 [1394]~E(x13941,x13942)+E(f588(x13943,x13944,x13941),f588(x13943,x13944,x13942)) % 209.33/209.65 [1395]~E(x13951,x13952)+E(f790(x13951,x13953,x13954,x13955,x13956,x13957,x13958),f790(x13952,x13953,x13954,x13955,x13956,x13957,x13958)) % 209.33/209.65 [1396]~E(x13961,x13962)+E(f790(x13963,x13961,x13964,x13965,x13966,x13967,x13968),f790(x13963,x13962,x13964,x13965,x13966,x13967,x13968)) % 209.33/209.65 [1397]~E(x13971,x13972)+E(f790(x13973,x13974,x13971,x13975,x13976,x13977,x13978),f790(x13973,x13974,x13972,x13975,x13976,x13977,x13978)) % 209.33/209.65 [1398]~E(x13981,x13982)+E(f790(x13983,x13984,x13985,x13981,x13986,x13987,x13988),f790(x13983,x13984,x13985,x13982,x13986,x13987,x13988)) % 209.33/209.65 [1399]~E(x13991,x13992)+E(f790(x13993,x13994,x13995,x13996,x13991,x13997,x13998),f790(x13993,x13994,x13995,x13996,x13992,x13997,x13998)) % 209.33/209.65 [1400]~E(x14001,x14002)+E(f790(x14003,x14004,x14005,x14006,x14007,x14001,x14008),f790(x14003,x14004,x14005,x14006,x14007,x14002,x14008)) % 209.33/209.65 [1401]~E(x14011,x14012)+E(f790(x14013,x14014,x14015,x14016,x14017,x14018,x14011),f790(x14013,x14014,x14015,x14016,x14017,x14018,x14012)) % 209.33/209.65 [1402]~E(x14021,x14022)+E(f878(x14021,x14023,x14024,x14025,x14026),f878(x14022,x14023,x14024,x14025,x14026)) % 209.33/209.65 [1403]~E(x14031,x14032)+E(f878(x14033,x14031,x14034,x14035,x14036),f878(x14033,x14032,x14034,x14035,x14036)) % 209.33/209.65 [1404]~E(x14041,x14042)+E(f878(x14043,x14044,x14041,x14045,x14046),f878(x14043,x14044,x14042,x14045,x14046)) % 209.33/209.65 [1405]~E(x14051,x14052)+E(f878(x14053,x14054,x14055,x14051,x14056),f878(x14053,x14054,x14055,x14052,x14056)) % 209.33/209.65 [1406]~E(x14061,x14062)+E(f878(x14063,x14064,x14065,x14066,x14061),f878(x14063,x14064,x14065,x14066,x14062)) % 209.33/209.65 [1407]~E(x14071,x14072)+E(f640(x14071,x14073,x14074,x14075,x14076),f640(x14072,x14073,x14074,x14075,x14076)) % 209.33/209.65 [1408]~E(x14081,x14082)+E(f640(x14083,x14081,x14084,x14085,x14086),f640(x14083,x14082,x14084,x14085,x14086)) % 209.33/209.65 [1409]~E(x14091,x14092)+E(f640(x14093,x14094,x14091,x14095,x14096),f640(x14093,x14094,x14092,x14095,x14096)) % 209.33/209.65 [1410]~E(x14101,x14102)+E(f640(x14103,x14104,x14105,x14101,x14106),f640(x14103,x14104,x14105,x14102,x14106)) % 209.33/209.65 [1411]~E(x14111,x14112)+E(f640(x14113,x14114,x14115,x14116,x14111),f640(x14113,x14114,x14115,x14116,x14112)) % 209.33/209.65 [1412]~E(x14121,x14122)+E(f357(x14121,x14123,x14124,x14125),f357(x14122,x14123,x14124,x14125)) % 209.33/209.65 [1413]~E(x14131,x14132)+E(f357(x14133,x14131,x14134,x14135),f357(x14133,x14132,x14134,x14135)) % 209.33/209.65 [1414]~E(x14141,x14142)+E(f357(x14143,x14144,x14141,x14145),f357(x14143,x14144,x14142,x14145)) % 209.33/209.65 [1415]~E(x14151,x14152)+E(f357(x14153,x14154,x14155,x14151),f357(x14153,x14154,x14155,x14152)) % 209.33/209.65 [1416]~E(x14161,x14162)+E(f759(x14161,x14163,x14164,x14165,x14166),f759(x14162,x14163,x14164,x14165,x14166)) % 209.33/209.65 [1417]~E(x14171,x14172)+E(f759(x14173,x14171,x14174,x14175,x14176),f759(x14173,x14172,x14174,x14175,x14176)) % 209.33/209.65 [1418]~E(x14181,x14182)+E(f759(x14183,x14184,x14181,x14185,x14186),f759(x14183,x14184,x14182,x14185,x14186)) % 209.33/209.65 [1419]~E(x14191,x14192)+E(f759(x14193,x14194,x14195,x14191,x14196),f759(x14193,x14194,x14195,x14192,x14196)) % 209.33/209.65 [1420]~E(x14201,x14202)+E(f759(x14203,x14204,x14205,x14206,x14201),f759(x14203,x14204,x14205,x14206,x14202)) % 209.33/209.65 [1421]~E(x14211,x14212)+E(f871(x14211,x14213,x14214,x14215,x14216,x14217,x14218),f871(x14212,x14213,x14214,x14215,x14216,x14217,x14218)) % 209.33/209.65 [1422]~E(x14221,x14222)+E(f871(x14223,x14221,x14224,x14225,x14226,x14227,x14228),f871(x14223,x14222,x14224,x14225,x14226,x14227,x14228)) % 209.33/209.65 [1423]~E(x14231,x14232)+E(f871(x14233,x14234,x14231,x14235,x14236,x14237,x14238),f871(x14233,x14234,x14232,x14235,x14236,x14237,x14238)) % 209.33/209.65 [1424]~E(x14241,x14242)+E(f871(x14243,x14244,x14245,x14241,x14246,x14247,x14248),f871(x14243,x14244,x14245,x14242,x14246,x14247,x14248)) % 209.33/209.65 [1425]~E(x14251,x14252)+E(f871(x14253,x14254,x14255,x14256,x14251,x14257,x14258),f871(x14253,x14254,x14255,x14256,x14252,x14257,x14258)) % 209.33/209.65 [1426]~E(x14261,x14262)+E(f871(x14263,x14264,x14265,x14266,x14267,x14261,x14268),f871(x14263,x14264,x14265,x14266,x14267,x14262,x14268)) % 209.33/209.65 [1427]~E(x14271,x14272)+E(f871(x14273,x14274,x14275,x14276,x14277,x14278,x14271),f871(x14273,x14274,x14275,x14276,x14277,x14278,x14272)) % 209.33/209.65 [1428]~E(x14281,x14282)+E(f566(x14281,x14283,x14284),f566(x14282,x14283,x14284)) % 209.33/209.65 [1429]~E(x14291,x14292)+E(f566(x14293,x14291,x14294),f566(x14293,x14292,x14294)) % 209.33/209.65 [1430]~E(x14301,x14302)+E(f566(x14303,x14304,x14301),f566(x14303,x14304,x14302)) % 209.33/209.65 [1431]~E(x14311,x14312)+E(f273(x14311,x14313,x14314),f273(x14312,x14313,x14314)) % 209.33/209.65 [1432]~E(x14321,x14322)+E(f273(x14323,x14321,x14324),f273(x14323,x14322,x14324)) % 209.33/209.65 [1433]~E(x14331,x14332)+E(f273(x14333,x14334,x14331),f273(x14333,x14334,x14332)) % 209.33/209.65 [1434]~E(x14341,x14342)+E(f864(x14341,x14343,x14344,x14345,x14346,x14347,x14348,x14349),f864(x14342,x14343,x14344,x14345,x14346,x14347,x14348,x14349)) % 209.33/209.65 [1435]~E(x14351,x14352)+E(f864(x14353,x14351,x14354,x14355,x14356,x14357,x14358,x14359),f864(x14353,x14352,x14354,x14355,x14356,x14357,x14358,x14359)) % 209.33/209.65 [1436]~E(x14361,x14362)+E(f864(x14363,x14364,x14361,x14365,x14366,x14367,x14368,x14369),f864(x14363,x14364,x14362,x14365,x14366,x14367,x14368,x14369)) % 209.33/209.65 [1437]~E(x14371,x14372)+E(f864(x14373,x14374,x14375,x14371,x14376,x14377,x14378,x14379),f864(x14373,x14374,x14375,x14372,x14376,x14377,x14378,x14379)) % 209.33/209.65 [1438]~E(x14381,x14382)+E(f864(x14383,x14384,x14385,x14386,x14381,x14387,x14388,x14389),f864(x14383,x14384,x14385,x14386,x14382,x14387,x14388,x14389)) % 209.33/209.65 [1439]~E(x14391,x14392)+E(f864(x14393,x14394,x14395,x14396,x14397,x14391,x14398,x14399),f864(x14393,x14394,x14395,x14396,x14397,x14392,x14398,x14399)) % 209.33/209.65 [1440]~E(x14401,x14402)+E(f864(x14403,x14404,x14405,x14406,x14407,x14408,x14401,x14409),f864(x14403,x14404,x14405,x14406,x14407,x14408,x14402,x14409)) % 209.33/209.65 [1441]~E(x14411,x14412)+E(f864(x14413,x14414,x14415,x14416,x14417,x14418,x14419,x14411),f864(x14413,x14414,x14415,x14416,x14417,x14418,x14419,x14412)) % 209.33/209.65 [1442]~E(x14421,x14422)+E(f671(x14421,x14423,x14424,x14425),f671(x14422,x14423,x14424,x14425)) % 209.33/209.65 [1443]~E(x14431,x14432)+E(f671(x14433,x14431,x14434,x14435),f671(x14433,x14432,x14434,x14435)) % 209.33/209.65 [1444]~E(x14441,x14442)+E(f671(x14443,x14444,x14441,x14445),f671(x14443,x14444,x14442,x14445)) % 209.33/209.65 [1445]~E(x14451,x14452)+E(f671(x14453,x14454,x14455,x14451),f671(x14453,x14454,x14455,x14452)) % 209.33/209.65 [1446]~E(x14461,x14462)+E(f665(x14461,x14463,x14464,x14465),f665(x14462,x14463,x14464,x14465)) % 209.33/209.65 [1447]~E(x14471,x14472)+E(f665(x14473,x14471,x14474,x14475),f665(x14473,x14472,x14474,x14475)) % 209.33/209.65 [1448]~E(x14481,x14482)+E(f665(x14483,x14484,x14481,x14485),f665(x14483,x14484,x14482,x14485)) % 209.33/209.65 [1449]~E(x14491,x14492)+E(f665(x14493,x14494,x14495,x14491),f665(x14493,x14494,x14495,x14492)) % 209.33/209.65 [1450]~E(x14501,x14502)+E(f692(x14501,x14503,x14504,x14505),f692(x14502,x14503,x14504,x14505)) % 209.33/209.65 [1451]~E(x14511,x14512)+E(f692(x14513,x14511,x14514,x14515),f692(x14513,x14512,x14514,x14515)) % 209.33/209.65 [1452]~E(x14521,x14522)+E(f692(x14523,x14524,x14521,x14525),f692(x14523,x14524,x14522,x14525)) % 209.33/209.65 [1453]~E(x14531,x14532)+E(f692(x14533,x14534,x14535,x14531),f692(x14533,x14534,x14535,x14532)) % 209.33/209.65 [1454]~E(x14541,x14542)+E(f60(x14541,x14543,x14544),f60(x14542,x14543,x14544)) % 209.33/209.65 [1455]~E(x14551,x14552)+E(f60(x14553,x14551,x14554),f60(x14553,x14552,x14554)) % 209.33/209.65 [1456]~E(x14561,x14562)+E(f60(x14563,x14564,x14561),f60(x14563,x14564,x14562)) % 209.33/209.65 [1457]~E(x14571,x14572)+E(f639(x14571,x14573,x14574,x14575,x14576),f639(x14572,x14573,x14574,x14575,x14576)) % 209.33/209.65 [1458]~E(x14581,x14582)+E(f639(x14583,x14581,x14584,x14585,x14586),f639(x14583,x14582,x14584,x14585,x14586)) % 209.33/209.65 [1459]~E(x14591,x14592)+E(f639(x14593,x14594,x14591,x14595,x14596),f639(x14593,x14594,x14592,x14595,x14596)) % 209.33/209.65 [1460]~E(x14601,x14602)+E(f639(x14603,x14604,x14605,x14601,x14606),f639(x14603,x14604,x14605,x14602,x14606)) % 209.33/209.65 [1461]~E(x14611,x14612)+E(f639(x14613,x14614,x14615,x14616,x14611),f639(x14613,x14614,x14615,x14616,x14612)) % 209.33/209.65 [1462]~E(x14621,x14622)+E(f365(x14621,x14623,x14624,x14625),f365(x14622,x14623,x14624,x14625)) % 209.33/209.65 [1463]~E(x14631,x14632)+E(f365(x14633,x14631,x14634,x14635),f365(x14633,x14632,x14634,x14635)) % 209.33/209.65 [1464]~E(x14641,x14642)+E(f365(x14643,x14644,x14641,x14645),f365(x14643,x14644,x14642,x14645)) % 209.33/209.65 [1465]~E(x14651,x14652)+E(f365(x14653,x14654,x14655,x14651),f365(x14653,x14654,x14655,x14652)) % 209.33/209.65 [1466]~E(x14661,x14662)+E(f771(x14661,x14663,x14664,x14665,x14666,x14667,x14668),f771(x14662,x14663,x14664,x14665,x14666,x14667,x14668)) % 209.33/209.65 [1467]~E(x14671,x14672)+E(f771(x14673,x14671,x14674,x14675,x14676,x14677,x14678),f771(x14673,x14672,x14674,x14675,x14676,x14677,x14678)) % 209.33/209.65 [1468]~E(x14681,x14682)+E(f771(x14683,x14684,x14681,x14685,x14686,x14687,x14688),f771(x14683,x14684,x14682,x14685,x14686,x14687,x14688)) % 209.33/209.65 [1469]~E(x14691,x14692)+E(f771(x14693,x14694,x14695,x14691,x14696,x14697,x14698),f771(x14693,x14694,x14695,x14692,x14696,x14697,x14698)) % 209.33/209.65 [1470]~E(x14701,x14702)+E(f771(x14703,x14704,x14705,x14706,x14701,x14707,x14708),f771(x14703,x14704,x14705,x14706,x14702,x14707,x14708)) % 209.33/209.65 [1471]~E(x14711,x14712)+E(f771(x14713,x14714,x14715,x14716,x14717,x14711,x14718),f771(x14713,x14714,x14715,x14716,x14717,x14712,x14718)) % 209.33/209.65 [1472]~E(x14721,x14722)+E(f771(x14723,x14724,x14725,x14726,x14727,x14728,x14721),f771(x14723,x14724,x14725,x14726,x14727,x14728,x14722)) % 209.33/209.65 [1473]~E(x14731,x14732)+E(f467(x14731,x14733),f467(x14732,x14733)) % 209.33/209.65 [1474]~E(x14741,x14742)+E(f467(x14743,x14741),f467(x14743,x14742)) % 209.33/209.65 [1475]~E(x14751,x14752)+E(f485(x14751,x14753,x14754,x14755,x14756),f485(x14752,x14753,x14754,x14755,x14756)) % 209.33/209.65 [1476]~E(x14761,x14762)+E(f485(x14763,x14761,x14764,x14765,x14766),f485(x14763,x14762,x14764,x14765,x14766)) % 209.33/209.65 [1477]~E(x14771,x14772)+E(f485(x14773,x14774,x14771,x14775,x14776),f485(x14773,x14774,x14772,x14775,x14776)) % 209.33/209.65 [1478]~E(x14781,x14782)+E(f485(x14783,x14784,x14785,x14781,x14786),f485(x14783,x14784,x14785,x14782,x14786)) % 209.33/209.65 [1479]~E(x14791,x14792)+E(f485(x14793,x14794,x14795,x14796,x14791),f485(x14793,x14794,x14795,x14796,x14792)) % 209.33/209.65 [1480]~E(x14801,x14802)+E(f202(x14801,x14803,x14804,x14805),f202(x14802,x14803,x14804,x14805)) % 209.33/209.65 [1481]~E(x14811,x14812)+E(f202(x14813,x14811,x14814,x14815),f202(x14813,x14812,x14814,x14815)) % 209.33/209.65 [1482]~E(x14821,x14822)+E(f202(x14823,x14824,x14821,x14825),f202(x14823,x14824,x14822,x14825)) % 209.33/209.65 [1483]~E(x14831,x14832)+E(f202(x14833,x14834,x14835,x14831),f202(x14833,x14834,x14835,x14832)) % 209.33/209.65 [1484]~E(x14841,x14842)+E(f823(x14841,x14843,x14844,x14845),f823(x14842,x14843,x14844,x14845)) % 209.33/209.65 [1485]~E(x14851,x14852)+E(f823(x14853,x14851,x14854,x14855),f823(x14853,x14852,x14854,x14855)) % 209.33/209.65 [1486]~E(x14861,x14862)+E(f823(x14863,x14864,x14861,x14865),f823(x14863,x14864,x14862,x14865)) % 209.33/209.65 [1487]~E(x14871,x14872)+E(f823(x14873,x14874,x14875,x14871),f823(x14873,x14874,x14875,x14872)) % 209.33/209.65 [1488]~E(x14881,x14882)+E(f469(x14881,x14883,x14884),f469(x14882,x14883,x14884)) % 209.33/209.65 [1489]~E(x14891,x14892)+E(f469(x14893,x14891,x14894),f469(x14893,x14892,x14894)) % 209.33/209.65 [1490]~E(x14901,x14902)+E(f469(x14903,x14904,x14901),f469(x14903,x14904,x14902)) % 209.33/209.65 [1491]~E(x14911,x14912)+E(f707(x14911,x14913,x14914,x14915,x14916),f707(x14912,x14913,x14914,x14915,x14916)) % 209.33/209.65 [1492]~E(x14921,x14922)+E(f707(x14923,x14921,x14924,x14925,x14926),f707(x14923,x14922,x14924,x14925,x14926)) % 209.33/209.65 [1493]~E(x14931,x14932)+E(f707(x14933,x14934,x14931,x14935,x14936),f707(x14933,x14934,x14932,x14935,x14936)) % 209.33/209.65 [1494]~E(x14941,x14942)+E(f707(x14943,x14944,x14945,x14941,x14946),f707(x14943,x14944,x14945,x14942,x14946)) % 209.33/209.65 [1495]~E(x14951,x14952)+E(f707(x14953,x14954,x14955,x14956,x14951),f707(x14953,x14954,x14955,x14956,x14952)) % 209.33/209.65 [1496]~E(x14961,x14962)+E(f477(x14961,x14963,x14964),f477(x14962,x14963,x14964)) % 209.33/209.65 [1497]~E(x14971,x14972)+E(f477(x14973,x14971,x14974),f477(x14973,x14972,x14974)) % 209.33/209.65 [1498]~E(x14981,x14982)+E(f477(x14983,x14984,x14981),f477(x14983,x14984,x14982)) % 209.33/209.65 [1499]~E(x14991,x14992)+E(f613(x14991,x14993,x14994),f613(x14992,x14993,x14994)) % 209.33/209.65 [1500]~E(x15001,x15002)+E(f613(x15003,x15001,x15004),f613(x15003,x15002,x15004)) % 209.33/209.65 [1501]~E(x15011,x15012)+E(f613(x15013,x15014,x15011),f613(x15013,x15014,x15012)) % 209.33/209.65 [1502]~E(x15021,x15022)+E(f779(x15021,x15023,x15024),f779(x15022,x15023,x15024)) % 209.33/209.65 [1503]~E(x15031,x15032)+E(f779(x15033,x15031,x15034),f779(x15033,x15032,x15034)) % 209.33/209.65 [1504]~E(x15041,x15042)+E(f779(x15043,x15044,x15041),f779(x15043,x15044,x15042)) % 209.33/209.65 [1505]~E(x15051,x15052)+E(f710(x15051,x15053,x15054,x15055),f710(x15052,x15053,x15054,x15055)) % 209.33/209.65 [1506]~E(x15061,x15062)+E(f710(x15063,x15061,x15064,x15065),f710(x15063,x15062,x15064,x15065)) % 209.33/209.65 [1507]~E(x15071,x15072)+E(f710(x15073,x15074,x15071,x15075),f710(x15073,x15074,x15072,x15075)) % 209.33/209.65 [1508]~E(x15081,x15082)+E(f710(x15083,x15084,x15085,x15081),f710(x15083,x15084,x15085,x15082)) % 209.33/209.65 [1509]~E(x15091,x15092)+E(f479(x15091,x15093),f479(x15092,x15093)) % 209.33/209.65 [1510]~E(x15101,x15102)+E(f479(x15103,x15101),f479(x15103,x15102)) % 209.33/209.65 [1511]~E(x15111,x15112)+E(f239(x15111,x15113,x15114),f239(x15112,x15113,x15114)) % 209.33/209.65 [1512]~E(x15121,x15122)+E(f239(x15123,x15121,x15124),f239(x15123,x15122,x15124)) % 209.33/209.65 [1513]~E(x15131,x15132)+E(f239(x15133,x15134,x15131),f239(x15133,x15134,x15132)) % 209.33/209.65 [1514]~E(x15141,x15142)+E(f749(x15141,x15143),f749(x15142,x15143)) % 209.33/209.65 [1515]~E(x15151,x15152)+E(f749(x15153,x15151),f749(x15153,x15152)) % 209.33/209.65 [1516]~E(x15161,x15162)+E(f418(x15161,x15163),f418(x15162,x15163)) % 209.33/209.65 [1517]~E(x15171,x15172)+E(f418(x15173,x15171),f418(x15173,x15172)) % 209.33/209.65 [1518]~E(x15181,x15182)+E(f679(x15181,x15183,x15184,x15185,x15186),f679(x15182,x15183,x15184,x15185,x15186)) % 209.33/209.65 [1519]~E(x15191,x15192)+E(f679(x15193,x15191,x15194,x15195,x15196),f679(x15193,x15192,x15194,x15195,x15196)) % 209.33/209.65 [1520]~E(x15201,x15202)+E(f679(x15203,x15204,x15201,x15205,x15206),f679(x15203,x15204,x15202,x15205,x15206)) % 209.33/209.65 [1521]~E(x15211,x15212)+E(f679(x15213,x15214,x15215,x15211,x15216),f679(x15213,x15214,x15215,x15212,x15216)) % 209.33/209.65 [1522]~E(x15221,x15222)+E(f679(x15223,x15224,x15225,x15226,x15221),f679(x15223,x15224,x15225,x15226,x15222)) % 209.33/209.65 [1523]~E(x15231,x15232)+E(f554(x15231,x15233,x15234,x15235,x15236),f554(x15232,x15233,x15234,x15235,x15236)) % 209.33/209.65 [1524]~E(x15241,x15242)+E(f554(x15243,x15241,x15244,x15245,x15246),f554(x15243,x15242,x15244,x15245,x15246)) % 209.33/209.65 [1525]~E(x15251,x15252)+E(f554(x15253,x15254,x15251,x15255,x15256),f554(x15253,x15254,x15252,x15255,x15256)) % 209.33/209.65 [1526]~E(x15261,x15262)+E(f554(x15263,x15264,x15265,x15261,x15266),f554(x15263,x15264,x15265,x15262,x15266)) % 209.33/209.65 [1527]~E(x15271,x15272)+E(f554(x15273,x15274,x15275,x15276,x15271),f554(x15273,x15274,x15275,x15276,x15272)) % 209.33/209.65 [1528]~E(x15281,x15282)+E(f715(x15281,x15283,x15284),f715(x15282,x15283,x15284)) % 209.33/209.65 [1529]~E(x15291,x15292)+E(f715(x15293,x15291,x15294),f715(x15293,x15292,x15294)) % 209.33/209.65 [1530]~E(x15301,x15302)+E(f715(x15303,x15304,x15301),f715(x15303,x15304,x15302)) % 209.33/209.65 [1531]~E(x15311,x15312)+E(f170(x15311,x15313,x15314,x15315),f170(x15312,x15313,x15314,x15315)) % 209.33/209.65 [1532]~E(x15321,x15322)+E(f170(x15323,x15321,x15324,x15325),f170(x15323,x15322,x15324,x15325)) % 209.33/209.65 [1533]~E(x15331,x15332)+E(f170(x15333,x15334,x15331,x15335),f170(x15333,x15334,x15332,x15335)) % 209.33/209.65 [1534]~E(x15341,x15342)+E(f170(x15343,x15344,x15345,x15341),f170(x15343,x15344,x15345,x15342)) % 209.33/209.65 [1535]~E(x15351,x15352)+E(f130(x15351),f130(x15352)) % 209.33/209.65 [1536]~E(x15361,x15362)+E(f657(x15361,x15363,x15364,x15365,x15366,x15367,x15368),f657(x15362,x15363,x15364,x15365,x15366,x15367,x15368)) % 209.33/209.65 [1537]~E(x15371,x15372)+E(f657(x15373,x15371,x15374,x15375,x15376,x15377,x15378),f657(x15373,x15372,x15374,x15375,x15376,x15377,x15378)) % 209.33/209.65 [1538]~E(x15381,x15382)+E(f657(x15383,x15384,x15381,x15385,x15386,x15387,x15388),f657(x15383,x15384,x15382,x15385,x15386,x15387,x15388)) % 209.33/209.65 [1539]~E(x15391,x15392)+E(f657(x15393,x15394,x15395,x15391,x15396,x15397,x15398),f657(x15393,x15394,x15395,x15392,x15396,x15397,x15398)) % 209.33/209.65 [1540]~E(x15401,x15402)+E(f657(x15403,x15404,x15405,x15406,x15401,x15407,x15408),f657(x15403,x15404,x15405,x15406,x15402,x15407,x15408)) % 209.33/209.65 [1541]~E(x15411,x15412)+E(f657(x15413,x15414,x15415,x15416,x15417,x15411,x15418),f657(x15413,x15414,x15415,x15416,x15417,x15412,x15418)) % 209.33/209.65 [1542]~E(x15421,x15422)+E(f657(x15423,x15424,x15425,x15426,x15427,x15428,x15421),f657(x15423,x15424,x15425,x15426,x15427,x15428,x15422)) % 209.33/209.65 [1543]~E(x15431,x15432)+E(f733(x15431,x15433),f733(x15432,x15433)) % 209.33/209.65 [1544]~E(x15441,x15442)+E(f733(x15443,x15441),f733(x15443,x15442)) % 209.33/209.65 [1545]~E(x15451,x15452)+E(f682(x15451,x15453,x15454),f682(x15452,x15453,x15454)) % 209.33/209.65 [1546]~E(x15461,x15462)+E(f682(x15463,x15461,x15464),f682(x15463,x15462,x15464)) % 209.33/209.65 [1547]~E(x15471,x15472)+E(f682(x15473,x15474,x15471),f682(x15473,x15474,x15472)) % 209.33/209.65 [1548]~E(x15481,x15482)+E(f811(x15481,x15483,x15484,x15485),f811(x15482,x15483,x15484,x15485)) % 209.33/209.65 [1549]~E(x15491,x15492)+E(f811(x15493,x15491,x15494,x15495),f811(x15493,x15492,x15494,x15495)) % 209.33/209.65 [1550]~E(x15501,x15502)+E(f811(x15503,x15504,x15501,x15505),f811(x15503,x15504,x15502,x15505)) % 209.33/209.65 [1551]~E(x15511,x15512)+E(f811(x15513,x15514,x15515,x15511),f811(x15513,x15514,x15515,x15512)) % 209.33/209.65 [1552]~E(x15521,x15522)+E(f751(x15521,x15523,x15524,x15525),f751(x15522,x15523,x15524,x15525)) % 209.33/209.65 [1553]~E(x15531,x15532)+E(f751(x15533,x15531,x15534,x15535),f751(x15533,x15532,x15534,x15535)) % 209.33/209.65 [1554]~E(x15541,x15542)+E(f751(x15543,x15544,x15541,x15545),f751(x15543,x15544,x15542,x15545)) % 209.33/209.65 [1555]~E(x15551,x15552)+E(f751(x15553,x15554,x15555,x15551),f751(x15553,x15554,x15555,x15552)) % 209.33/209.65 [1556]~E(x15561,x15562)+E(f675(x15561,x15563,x15564,x15565,x15566),f675(x15562,x15563,x15564,x15565,x15566)) % 209.33/209.65 [1557]~E(x15571,x15572)+E(f675(x15573,x15571,x15574,x15575,x15576),f675(x15573,x15572,x15574,x15575,x15576)) % 209.33/209.65 [1558]~E(x15581,x15582)+E(f675(x15583,x15584,x15581,x15585,x15586),f675(x15583,x15584,x15582,x15585,x15586)) % 209.33/209.65 [1559]~E(x15591,x15592)+E(f675(x15593,x15594,x15595,x15591,x15596),f675(x15593,x15594,x15595,x15592,x15596)) % 209.33/209.65 [1560]~E(x15601,x15602)+E(f675(x15603,x15604,x15605,x15606,x15601),f675(x15603,x15604,x15605,x15606,x15602)) % 209.33/209.65 [1561]~E(x15611,x15612)+E(f913(x15611,x15613),f913(x15612,x15613)) % 209.33/209.65 [1562]~E(x15621,x15622)+E(f913(x15623,x15621),f913(x15623,x15622)) % 209.33/209.65 [1563]~E(x15631,x15632)+E(f845(x15631,x15633,x15634),f845(x15632,x15633,x15634)) % 209.33/209.65 [1564]~E(x15641,x15642)+E(f845(x15643,x15641,x15644),f845(x15643,x15642,x15644)) % 209.33/209.65 [1565]~E(x15651,x15652)+E(f845(x15653,x15654,x15651),f845(x15653,x15654,x15652)) % 209.33/209.65 [1566]~E(x15661,x15662)+E(f884(x15661,x15663,x15664,x15665),f884(x15662,x15663,x15664,x15665)) % 209.33/209.65 [1567]~E(x15671,x15672)+E(f884(x15673,x15671,x15674,x15675),f884(x15673,x15672,x15674,x15675)) % 209.33/209.65 [1568]~E(x15681,x15682)+E(f884(x15683,x15684,x15681,x15685),f884(x15683,x15684,x15682,x15685)) % 209.33/209.65 [1569]~E(x15691,x15692)+E(f884(x15693,x15694,x15695,x15691),f884(x15693,x15694,x15695,x15692)) % 209.33/209.65 [1570]~E(x15701,x15702)+E(f691(x15701,x15703,x15704,x15705),f691(x15702,x15703,x15704,x15705)) % 209.33/209.65 [1571]~E(x15711,x15712)+E(f691(x15713,x15711,x15714,x15715),f691(x15713,x15712,x15714,x15715)) % 209.33/209.65 [1572]~E(x15721,x15722)+E(f691(x15723,x15724,x15721,x15725),f691(x15723,x15724,x15722,x15725)) % 209.33/209.65 [1573]~E(x15731,x15732)+E(f691(x15733,x15734,x15735,x15731),f691(x15733,x15734,x15735,x15732)) % 209.33/209.65 [1574]~E(x15741,x15742)+E(f746(x15741,x15743,x15744,x15745),f746(x15742,x15743,x15744,x15745)) % 209.33/209.65 [1575]~E(x15751,x15752)+E(f746(x15753,x15751,x15754,x15755),f746(x15753,x15752,x15754,x15755)) % 209.33/209.65 [1576]~E(x15761,x15762)+E(f746(x15763,x15764,x15761,x15765),f746(x15763,x15764,x15762,x15765)) % 209.33/209.65 [1577]~E(x15771,x15772)+E(f746(x15773,x15774,x15775,x15771),f746(x15773,x15774,x15775,x15772)) % 209.33/209.65 [1578]~E(x15781,x15782)+E(f442(x15781,x15783),f442(x15782,x15783)) % 209.33/209.65 [1579]~E(x15791,x15792)+E(f442(x15793,x15791),f442(x15793,x15792)) % 209.33/209.65 [1580]~E(x15801,x15802)+E(f863(x15801,x15803,x15804,x15805,x15806,x15807,x15808,x15809),f863(x15802,x15803,x15804,x15805,x15806,x15807,x15808,x15809)) % 209.33/209.65 [1581]~E(x15811,x15812)+E(f863(x15813,x15811,x15814,x15815,x15816,x15817,x15818,x15819),f863(x15813,x15812,x15814,x15815,x15816,x15817,x15818,x15819)) % 209.33/209.65 [1582]~E(x15821,x15822)+E(f863(x15823,x15824,x15821,x15825,x15826,x15827,x15828,x15829),f863(x15823,x15824,x15822,x15825,x15826,x15827,x15828,x15829)) % 209.33/209.65 [1583]~E(x15831,x15832)+E(f863(x15833,x15834,x15835,x15831,x15836,x15837,x15838,x15839),f863(x15833,x15834,x15835,x15832,x15836,x15837,x15838,x15839)) % 209.33/209.65 [1584]~E(x15841,x15842)+E(f863(x15843,x15844,x15845,x15846,x15841,x15847,x15848,x15849),f863(x15843,x15844,x15845,x15846,x15842,x15847,x15848,x15849)) % 209.33/209.65 [1585]~E(x15851,x15852)+E(f863(x15853,x15854,x15855,x15856,x15857,x15851,x15858,x15859),f863(x15853,x15854,x15855,x15856,x15857,x15852,x15858,x15859)) % 209.33/209.65 [1586]~E(x15861,x15862)+E(f863(x15863,x15864,x15865,x15866,x15867,x15868,x15861,x15869),f863(x15863,x15864,x15865,x15866,x15867,x15868,x15862,x15869)) % 209.33/209.65 [1587]~E(x15871,x15872)+E(f863(x15873,x15874,x15875,x15876,x15877,x15878,x15879,x15871),f863(x15873,x15874,x15875,x15876,x15877,x15878,x15879,x15872)) % 209.33/209.65 [1588]~E(x15881,x15882)+E(f595(x15881,x15883,x15884,x15885),f595(x15882,x15883,x15884,x15885)) % 209.33/209.65 [1589]~E(x15891,x15892)+E(f595(x15893,x15891,x15894,x15895),f595(x15893,x15892,x15894,x15895)) % 209.33/209.65 [1590]~E(x15901,x15902)+E(f595(x15903,x15904,x15901,x15905),f595(x15903,x15904,x15902,x15905)) % 209.33/209.65 [1591]~E(x15911,x15912)+E(f595(x15913,x15914,x15915,x15911),f595(x15913,x15914,x15915,x15912)) % 209.33/209.65 [1592]~E(x15921,x15922)+E(f463(x15921,x15923),f463(x15922,x15923)) % 209.33/209.65 [1593]~E(x15931,x15932)+E(f463(x15933,x15931),f463(x15933,x15932)) % 209.33/209.65 [1594]~E(x15941,x15942)+E(f701(x15941,x15943,x15944),f701(x15942,x15943,x15944)) % 209.33/209.65 [1595]~E(x15951,x15952)+E(f701(x15953,x15951,x15954),f701(x15953,x15952,x15954)) % 209.33/209.65 [1596]~E(x15961,x15962)+E(f701(x15963,x15964,x15961),f701(x15963,x15964,x15962)) % 209.33/209.65 [1597]~E(x15971,x15972)+E(f642(x15971,x15973,x15974,x15975,x15976),f642(x15972,x15973,x15974,x15975,x15976)) % 209.33/209.65 [1598]~E(x15981,x15982)+E(f642(x15983,x15981,x15984,x15985,x15986),f642(x15983,x15982,x15984,x15985,x15986)) % 209.33/209.65 [1599]~E(x15991,x15992)+E(f642(x15993,x15994,x15991,x15995,x15996),f642(x15993,x15994,x15992,x15995,x15996)) % 209.33/209.65 [1600]~E(x16001,x16002)+E(f642(x16003,x16004,x16005,x16001,x16006),f642(x16003,x16004,x16005,x16002,x16006)) % 209.33/209.65 [1601]~E(x16011,x16012)+E(f642(x16013,x16014,x16015,x16016,x16011),f642(x16013,x16014,x16015,x16016,x16012)) % 209.33/209.65 [1602]~E(x16021,x16022)+E(f612(x16021,x16023,x16024),f612(x16022,x16023,x16024)) % 209.33/209.65 [1603]~E(x16031,x16032)+E(f612(x16033,x16031,x16034),f612(x16033,x16032,x16034)) % 209.33/209.65 [1604]~E(x16041,x16042)+E(f612(x16043,x16044,x16041),f612(x16043,x16044,x16042)) % 209.33/209.65 [1605]~E(x16051,x16052)+E(f904(x16051,x16053,x16054,x16055),f904(x16052,x16053,x16054,x16055)) % 209.33/209.65 [1606]~E(x16061,x16062)+E(f904(x16063,x16061,x16064,x16065),f904(x16063,x16062,x16064,x16065)) % 209.33/209.65 [1607]~E(x16071,x16072)+E(f904(x16073,x16074,x16071,x16075),f904(x16073,x16074,x16072,x16075)) % 209.33/209.65 [1608]~E(x16081,x16082)+E(f904(x16083,x16084,x16085,x16081),f904(x16083,x16084,x16085,x16082)) % 209.33/209.65 [1609]~E(x16091,x16092)+E(f673(x16091,x16093),f673(x16092,x16093)) % 209.33/209.65 [1610]~E(x16101,x16102)+E(f673(x16103,x16101),f673(x16103,x16102)) % 209.33/209.65 [1611]~E(x16111,x16112)+E(f94(x16111),f94(x16112)) % 209.33/209.65 [1612]~E(x16121,x16122)+E(f475(x16121,x16123,x16124),f475(x16122,x16123,x16124)) % 209.33/209.65 [1613]~E(x16131,x16132)+E(f475(x16133,x16131,x16134),f475(x16133,x16132,x16134)) % 209.33/209.65 [1614]~E(x16141,x16142)+E(f475(x16143,x16144,x16141),f475(x16143,x16144,x16142)) % 209.33/209.65 [1615]~E(x16151,x16152)+E(f645(x16151,x16153,x16154,x16155,x16156,x16157,x16158,x16159),f645(x16152,x16153,x16154,x16155,x16156,x16157,x16158,x16159)) % 209.33/209.65 [1616]~E(x16161,x16162)+E(f645(x16163,x16161,x16164,x16165,x16166,x16167,x16168,x16169),f645(x16163,x16162,x16164,x16165,x16166,x16167,x16168,x16169)) % 209.33/209.65 [1617]~E(x16171,x16172)+E(f645(x16173,x16174,x16171,x16175,x16176,x16177,x16178,x16179),f645(x16173,x16174,x16172,x16175,x16176,x16177,x16178,x16179)) % 209.33/209.65 [1618]~E(x16181,x16182)+E(f645(x16183,x16184,x16185,x16181,x16186,x16187,x16188,x16189),f645(x16183,x16184,x16185,x16182,x16186,x16187,x16188,x16189)) % 209.33/209.65 [1619]~E(x16191,x16192)+E(f645(x16193,x16194,x16195,x16196,x16191,x16197,x16198,x16199),f645(x16193,x16194,x16195,x16196,x16192,x16197,x16198,x16199)) % 209.33/209.65 [1620]~E(x16201,x16202)+E(f645(x16203,x16204,x16205,x16206,x16207,x16201,x16208,x16209),f645(x16203,x16204,x16205,x16206,x16207,x16202,x16208,x16209)) % 209.33/209.65 [1621]~E(x16211,x16212)+E(f645(x16213,x16214,x16215,x16216,x16217,x16218,x16211,x16219),f645(x16213,x16214,x16215,x16216,x16217,x16218,x16212,x16219)) % 209.33/209.65 [1622]~E(x16221,x16222)+E(f645(x16223,x16224,x16225,x16226,x16227,x16228,x16229,x16221),f645(x16223,x16224,x16225,x16226,x16227,x16228,x16229,x16222)) % 209.33/209.65 [1623]~E(x16231,x16232)+E(f342(x16231,x16233),f342(x16232,x16233)) % 209.33/209.65 [1624]~E(x16241,x16242)+E(f342(x16243,x16241),f342(x16243,x16242)) % 209.33/209.65 [1625]~E(x16251,x16252)+E(f870(x16251,x16253,x16254),f870(x16252,x16253,x16254)) % 209.33/209.65 [1626]~E(x16261,x16262)+E(f870(x16263,x16261,x16264),f870(x16263,x16262,x16264)) % 209.33/209.65 [1627]~E(x16271,x16272)+E(f870(x16273,x16274,x16271),f870(x16273,x16274,x16272)) % 209.33/209.65 [1628]~E(x16281,x16282)+E(f301(x16281,x16283),f301(x16282,x16283)) % 209.33/209.65 [1629]~E(x16291,x16292)+E(f301(x16293,x16291),f301(x16293,x16292)) % 209.33/209.65 [1630]~E(x16301,x16302)+E(f384(x16301,x16303,x16304,x16305,x16306),f384(x16302,x16303,x16304,x16305,x16306)) % 209.33/209.65 [1631]~E(x16311,x16312)+E(f384(x16313,x16311,x16314,x16315,x16316),f384(x16313,x16312,x16314,x16315,x16316)) % 209.33/209.65 [1632]~E(x16321,x16322)+E(f384(x16323,x16324,x16321,x16325,x16326),f384(x16323,x16324,x16322,x16325,x16326)) % 209.33/209.65 [1633]~E(x16331,x16332)+E(f384(x16333,x16334,x16335,x16331,x16336),f384(x16333,x16334,x16335,x16332,x16336)) % 209.33/209.65 [1634]~E(x16341,x16342)+E(f384(x16343,x16344,x16345,x16346,x16341),f384(x16343,x16344,x16345,x16346,x16342)) % 209.33/209.65 [1635]~E(x16351,x16352)+E(f124(x16351,x16353,x16354),f124(x16352,x16353,x16354)) % 209.33/209.65 [1636]~E(x16361,x16362)+E(f124(x16363,x16361,x16364),f124(x16363,x16362,x16364)) % 209.33/209.65 [1637]~E(x16371,x16372)+E(f124(x16373,x16374,x16371),f124(x16373,x16374,x16372)) % 209.33/209.65 [1638]~E(x16381,x16382)+E(f865(x16381,x16383,x16384,x16385,x16386,x16387,x16388),f865(x16382,x16383,x16384,x16385,x16386,x16387,x16388)) % 209.33/209.65 [1639]~E(x16391,x16392)+E(f865(x16393,x16391,x16394,x16395,x16396,x16397,x16398),f865(x16393,x16392,x16394,x16395,x16396,x16397,x16398)) % 209.33/209.65 [1640]~E(x16401,x16402)+E(f865(x16403,x16404,x16401,x16405,x16406,x16407,x16408),f865(x16403,x16404,x16402,x16405,x16406,x16407,x16408)) % 209.33/209.65 [1641]~E(x16411,x16412)+E(f865(x16413,x16414,x16415,x16411,x16416,x16417,x16418),f865(x16413,x16414,x16415,x16412,x16416,x16417,x16418)) % 209.33/209.65 [1642]~E(x16421,x16422)+E(f865(x16423,x16424,x16425,x16426,x16421,x16427,x16428),f865(x16423,x16424,x16425,x16426,x16422,x16427,x16428)) % 209.33/209.65 [1643]~E(x16431,x16432)+E(f865(x16433,x16434,x16435,x16436,x16437,x16431,x16438),f865(x16433,x16434,x16435,x16436,x16437,x16432,x16438)) % 209.33/209.65 [1644]~E(x16441,x16442)+E(f865(x16443,x16444,x16445,x16446,x16447,x16448,x16441),f865(x16443,x16444,x16445,x16446,x16447,x16448,x16442)) % 209.33/209.65 [1645]~E(x16451,x16452)+E(f31(x16451,x16453),f31(x16452,x16453)) % 209.33/209.65 [1646]~E(x16461,x16462)+E(f31(x16463,x16461),f31(x16463,x16462)) % 209.33/209.65 [1647]~E(x16471,x16472)+E(f780(x16471,x16473,x16474),f780(x16472,x16473,x16474)) % 209.33/209.65 [1648]~E(x16481,x16482)+E(f780(x16483,x16481,x16484),f780(x16483,x16482,x16484)) % 209.33/209.65 [1649]~E(x16491,x16492)+E(f780(x16493,x16494,x16491),f780(x16493,x16494,x16492)) % 209.33/209.65 [1650]~E(x16501,x16502)+E(f916(x16501,x16503),f916(x16502,x16503)) % 209.33/209.65 [1651]~E(x16511,x16512)+E(f916(x16513,x16511),f916(x16513,x16512)) % 209.33/209.65 [1652]~E(x16521,x16522)+E(f855(x16521,x16523,x16524),f855(x16522,x16523,x16524)) % 209.33/209.65 [1653]~E(x16531,x16532)+E(f855(x16533,x16531,x16534),f855(x16533,x16532,x16534)) % 209.33/209.65 [1654]~E(x16541,x16542)+E(f855(x16543,x16544,x16541),f855(x16543,x16544,x16542)) % 209.33/209.65 [1655]~E(x16551,x16552)+E(f729(x16551,x16553),f729(x16552,x16553)) % 209.33/209.65 [1656]~E(x16561,x16562)+E(f729(x16563,x16561),f729(x16563,x16562)) % 209.33/209.65 [1657]~E(x16571,x16572)+E(f658(x16571,x16573,x16574,x16575,x16576,x16577,x16578,x16579),f658(x16572,x16573,x16574,x16575,x16576,x16577,x16578,x16579)) % 209.33/209.65 [1658]~E(x16581,x16582)+E(f658(x16583,x16581,x16584,x16585,x16586,x16587,x16588,x16589),f658(x16583,x16582,x16584,x16585,x16586,x16587,x16588,x16589)) % 209.33/209.65 [1659]~E(x16591,x16592)+E(f658(x16593,x16594,x16591,x16595,x16596,x16597,x16598,x16599),f658(x16593,x16594,x16592,x16595,x16596,x16597,x16598,x16599)) % 209.33/209.65 [1660]~E(x16601,x16602)+E(f658(x16603,x16604,x16605,x16601,x16606,x16607,x16608,x16609),f658(x16603,x16604,x16605,x16602,x16606,x16607,x16608,x16609)) % 209.33/209.65 [1661]~E(x16611,x16612)+E(f658(x16613,x16614,x16615,x16616,x16611,x16617,x16618,x16619),f658(x16613,x16614,x16615,x16616,x16612,x16617,x16618,x16619)) % 209.33/209.65 [1662]~E(x16621,x16622)+E(f658(x16623,x16624,x16625,x16626,x16627,x16621,x16628,x16629),f658(x16623,x16624,x16625,x16626,x16627,x16622,x16628,x16629)) % 209.33/209.65 [1663]~E(x16631,x16632)+E(f658(x16633,x16634,x16635,x16636,x16637,x16638,x16631,x16639),f658(x16633,x16634,x16635,x16636,x16637,x16638,x16632,x16639)) % 209.33/209.65 [1664]~E(x16641,x16642)+E(f658(x16643,x16644,x16645,x16646,x16647,x16648,x16649,x16641),f658(x16643,x16644,x16645,x16646,x16647,x16648,x16649,x16642)) % 209.33/209.65 [1665]~E(x16651,x16652)+E(f261(x16651,x16653,x16654,x16655,x16656),f261(x16652,x16653,x16654,x16655,x16656)) % 209.33/209.65 [1666]~E(x16661,x16662)+E(f261(x16663,x16661,x16664,x16665,x16666),f261(x16663,x16662,x16664,x16665,x16666)) % 209.33/209.65 [1667]~E(x16671,x16672)+E(f261(x16673,x16674,x16671,x16675,x16676),f261(x16673,x16674,x16672,x16675,x16676)) % 209.33/209.65 [1668]~E(x16681,x16682)+E(f261(x16683,x16684,x16685,x16681,x16686),f261(x16683,x16684,x16685,x16682,x16686)) % 209.33/209.65 [1669]~E(x16691,x16692)+E(f261(x16693,x16694,x16695,x16696,x16691),f261(x16693,x16694,x16695,x16696,x16692)) % 209.33/209.65 [1670]~E(x16701,x16702)+E(f589(x16701,x16703,x16704),f589(x16702,x16703,x16704)) % 209.33/209.65 [1671]~E(x16711,x16712)+E(f589(x16713,x16711,x16714),f589(x16713,x16712,x16714)) % 209.33/209.65 [1672]~E(x16721,x16722)+E(f589(x16723,x16724,x16721),f589(x16723,x16724,x16722)) % 209.33/209.65 [1673]~E(x16731,x16732)+E(f489(x16731,x16733,x16734),f489(x16732,x16733,x16734)) % 209.33/209.65 [1674]~E(x16741,x16742)+E(f489(x16743,x16741,x16744),f489(x16743,x16742,x16744)) % 209.33/209.65 [1675]~E(x16751,x16752)+E(f489(x16753,x16754,x16751),f489(x16753,x16754,x16752)) % 209.33/209.65 [1676]~E(x16761,x16762)+E(f546(x16761,x16763,x16764),f546(x16762,x16763,x16764)) % 209.33/209.65 [1677]~E(x16771,x16772)+E(f546(x16773,x16771,x16774),f546(x16773,x16772,x16774)) % 209.33/209.65 [1678]~E(x16781,x16782)+E(f546(x16783,x16784,x16781),f546(x16783,x16784,x16782)) % 209.33/209.65 [1679]~E(x16791,x16792)+E(f745(x16791,x16793,x16794),f745(x16792,x16793,x16794)) % 209.33/209.65 [1680]~E(x16801,x16802)+E(f745(x16803,x16801,x16804),f745(x16803,x16802,x16804)) % 209.33/209.65 [1681]~E(x16811,x16812)+E(f745(x16813,x16814,x16811),f745(x16813,x16814,x16812)) % 209.33/209.65 [1682]~E(x16821,x16822)+E(f807(x16821,x16823),f807(x16822,x16823)) % 209.33/209.65 [1683]~E(x16831,x16832)+E(f807(x16833,x16831),f807(x16833,x16832)) % 209.33/209.65 [1684]~E(x16841,x16842)+E(f472(x16841,x16843,x16844),f472(x16842,x16843,x16844)) % 209.33/209.65 [1685]~E(x16851,x16852)+E(f472(x16853,x16851,x16854),f472(x16853,x16852,x16854)) % 209.33/209.65 [1686]~E(x16861,x16862)+E(f472(x16863,x16864,x16861),f472(x16863,x16864,x16862)) % 209.33/209.65 [1687]~E(x16871,x16872)+E(f372(x16871,x16873),f372(x16872,x16873)) % 209.33/209.65 [1688]~E(x16881,x16882)+E(f372(x16883,x16881),f372(x16883,x16882)) % 209.33/209.65 [1689]~E(x16891,x16892)+E(f910(x16891,x16893,x16894,x16895,x16896,x16897),f910(x16892,x16893,x16894,x16895,x16896,x16897)) % 209.33/209.65 [1690]~E(x16901,x16902)+E(f910(x16903,x16901,x16904,x16905,x16906,x16907),f910(x16903,x16902,x16904,x16905,x16906,x16907)) % 209.33/209.65 [1691]~E(x16911,x16912)+E(f910(x16913,x16914,x16911,x16915,x16916,x16917),f910(x16913,x16914,x16912,x16915,x16916,x16917)) % 209.33/209.65 [1692]~E(x16921,x16922)+E(f910(x16923,x16924,x16925,x16921,x16926,x16927),f910(x16923,x16924,x16925,x16922,x16926,x16927)) % 209.33/209.65 [1693]~E(x16931,x16932)+E(f910(x16933,x16934,x16935,x16936,x16931,x16937),f910(x16933,x16934,x16935,x16936,x16932,x16937)) % 209.33/209.65 [1694]~E(x16941,x16942)+E(f910(x16943,x16944,x16945,x16946,x16947,x16941),f910(x16943,x16944,x16945,x16946,x16947,x16942)) % 209.33/209.65 [1695]~E(x16951,x16952)+E(f633(x16951,x16953,x16954,x16955),f633(x16952,x16953,x16954,x16955)) % 209.33/209.65 [1696]~E(x16961,x16962)+E(f633(x16963,x16961,x16964,x16965),f633(x16963,x16962,x16964,x16965)) % 209.33/209.65 [1697]~E(x16971,x16972)+E(f633(x16973,x16974,x16971,x16975),f633(x16973,x16974,x16972,x16975)) % 209.33/209.65 [1698]~E(x16981,x16982)+E(f633(x16983,x16984,x16985,x16981),f633(x16983,x16984,x16985,x16982)) % 209.33/209.65 [1699]~E(x16991,x16992)+E(f64(x16991,x16993,x16994,x16995),f64(x16992,x16993,x16994,x16995)) % 209.33/209.65 [1700]~E(x17001,x17002)+E(f64(x17003,x17001,x17004,x17005),f64(x17003,x17002,x17004,x17005)) % 209.33/209.65 [1701]~E(x17011,x17012)+E(f64(x17013,x17014,x17011,x17015),f64(x17013,x17014,x17012,x17015)) % 209.33/209.65 [1702]~E(x17021,x17022)+E(f64(x17023,x17024,x17025,x17021),f64(x17023,x17024,x17025,x17022)) % 209.33/209.65 [1703]~E(x17031,x17032)+E(f386(x17031,x17033,x17034),f386(x17032,x17033,x17034)) % 209.33/209.65 [1704]~E(x17041,x17042)+E(f386(x17043,x17041,x17044),f386(x17043,x17042,x17044)) % 209.33/209.65 [1705]~E(x17051,x17052)+E(f386(x17053,x17054,x17051),f386(x17053,x17054,x17052)) % 209.33/209.65 [1706]~E(x17061,x17062)+E(f441(x17061,x17063,x17064,x17065,x17066),f441(x17062,x17063,x17064,x17065,x17066)) % 209.33/209.65 [1707]~E(x17071,x17072)+E(f441(x17073,x17071,x17074,x17075,x17076),f441(x17073,x17072,x17074,x17075,x17076)) % 209.33/209.65 [1708]~E(x17081,x17082)+E(f441(x17083,x17084,x17081,x17085,x17086),f441(x17083,x17084,x17082,x17085,x17086)) % 209.33/209.65 [1709]~E(x17091,x17092)+E(f441(x17093,x17094,x17095,x17091,x17096),f441(x17093,x17094,x17095,x17092,x17096)) % 209.33/209.65 [1710]~E(x17101,x17102)+E(f441(x17103,x17104,x17105,x17106,x17101),f441(x17103,x17104,x17105,x17106,x17102)) % 209.33/209.65 [1711]~E(x17111,x17112)+E(f412(x17111,x17113,x17114,x17115,x17116),f412(x17112,x17113,x17114,x17115,x17116)) % 209.33/209.65 [1712]~E(x17121,x17122)+E(f412(x17123,x17121,x17124,x17125,x17126),f412(x17123,x17122,x17124,x17125,x17126)) % 209.33/209.65 [1713]~E(x17131,x17132)+E(f412(x17133,x17134,x17131,x17135,x17136),f412(x17133,x17134,x17132,x17135,x17136)) % 209.33/209.65 [1714]~E(x17141,x17142)+E(f412(x17143,x17144,x17145,x17141,x17146),f412(x17143,x17144,x17145,x17142,x17146)) % 209.33/209.65 [1715]~E(x17151,x17152)+E(f412(x17153,x17154,x17155,x17156,x17151),f412(x17153,x17154,x17155,x17156,x17152)) % 209.33/209.65 [1716]~E(x17161,x17162)+E(f623(x17161,x17163,x17164,x17165,x17166),f623(x17162,x17163,x17164,x17165,x17166)) % 209.33/209.65 [1717]~E(x17171,x17172)+E(f623(x17173,x17171,x17174,x17175,x17176),f623(x17173,x17172,x17174,x17175,x17176)) % 209.33/209.65 [1718]~E(x17181,x17182)+E(f623(x17183,x17184,x17181,x17185,x17186),f623(x17183,x17184,x17182,x17185,x17186)) % 209.33/209.65 [1719]~E(x17191,x17192)+E(f623(x17193,x17194,x17195,x17191,x17196),f623(x17193,x17194,x17195,x17192,x17196)) % 209.33/209.65 [1720]~E(x17201,x17202)+E(f623(x17203,x17204,x17205,x17206,x17201),f623(x17203,x17204,x17205,x17206,x17202)) % 209.33/209.65 [1721]~E(x17211,x17212)+E(f609(x17211,x17213,x17214),f609(x17212,x17213,x17214)) % 209.33/209.65 [1722]~E(x17221,x17222)+E(f609(x17223,x17221,x17224),f609(x17223,x17222,x17224)) % 209.33/209.65 [1723]~E(x17231,x17232)+E(f609(x17233,x17234,x17231),f609(x17233,x17234,x17232)) % 209.33/209.65 [1724]~E(x17241,x17242)+E(f736(x17241,x17243,x17244),f736(x17242,x17243,x17244)) % 209.33/209.65 [1725]~E(x17251,x17252)+E(f736(x17253,x17251,x17254),f736(x17253,x17252,x17254)) % 209.33/209.65 [1726]~E(x17261,x17262)+E(f736(x17263,x17264,x17261),f736(x17263,x17264,x17262)) % 209.33/209.65 [1727]~E(x17271,x17272)+E(f398(x17271,x17273,x17274),f398(x17272,x17273,x17274)) % 209.33/209.65 [1728]~E(x17281,x17282)+E(f398(x17283,x17281,x17284),f398(x17283,x17282,x17284)) % 209.33/209.65 [1729]~E(x17291,x17292)+E(f398(x17293,x17294,x17291),f398(x17293,x17294,x17292)) % 209.33/209.65 [1730]~E(x17301,x17302)+E(f900(x17301,x17303,x17304,x17305),f900(x17302,x17303,x17304,x17305)) % 209.33/209.65 [1731]~E(x17311,x17312)+E(f900(x17313,x17311,x17314,x17315),f900(x17313,x17312,x17314,x17315)) % 209.33/209.65 [1732]~E(x17321,x17322)+E(f900(x17323,x17324,x17321,x17325),f900(x17323,x17324,x17322,x17325)) % 209.33/209.65 [1733]~E(x17331,x17332)+E(f900(x17333,x17334,x17335,x17331),f900(x17333,x17334,x17335,x17332)) % 209.33/209.65 [1734]~E(x17341,x17342)+E(f257(x17341,x17343,x17344),f257(x17342,x17343,x17344)) % 209.33/209.65 [1735]~E(x17351,x17352)+E(f257(x17353,x17351,x17354),f257(x17353,x17352,x17354)) % 209.33/209.65 [1736]~E(x17361,x17362)+E(f257(x17363,x17364,x17361),f257(x17363,x17364,x17362)) % 209.33/209.65 [1737]~E(x17371,x17372)+E(f880(x17371,x17373,x17374,x17375,x17376),f880(x17372,x17373,x17374,x17375,x17376)) % 209.33/209.65 [1738]~E(x17381,x17382)+E(f880(x17383,x17381,x17384,x17385,x17386),f880(x17383,x17382,x17384,x17385,x17386)) % 209.33/209.65 [1739]~E(x17391,x17392)+E(f880(x17393,x17394,x17391,x17395,x17396),f880(x17393,x17394,x17392,x17395,x17396)) % 209.33/209.65 [1740]~E(x17401,x17402)+E(f880(x17403,x17404,x17405,x17401,x17406),f880(x17403,x17404,x17405,x17402,x17406)) % 209.33/209.65 [1741]~E(x17411,x17412)+E(f880(x17413,x17414,x17415,x17416,x17411),f880(x17413,x17414,x17415,x17416,x17412)) % 209.33/209.65 [1742]~E(x17421,x17422)+E(f258(x17421,x17423,x17424),f258(x17422,x17423,x17424)) % 209.33/209.65 [1743]~E(x17431,x17432)+E(f258(x17433,x17431,x17434),f258(x17433,x17432,x17434)) % 209.33/209.65 [1744]~E(x17441,x17442)+E(f258(x17443,x17444,x17441),f258(x17443,x17444,x17442)) % 209.33/209.65 [1745]~E(x17451,x17452)+E(f683(x17451,x17453,x17454),f683(x17452,x17453,x17454)) % 209.33/209.65 [1746]~E(x17461,x17462)+E(f683(x17463,x17461,x17464),f683(x17463,x17462,x17464)) % 209.33/209.65 [1747]~E(x17471,x17472)+E(f683(x17473,x17474,x17471),f683(x17473,x17474,x17472)) % 209.33/209.65 [1748]~E(x17481,x17482)+E(f889(x17481,x17483,x17484,x17485,x17486,x17487),f889(x17482,x17483,x17484,x17485,x17486,x17487)) % 209.33/209.65 [1749]~E(x17491,x17492)+E(f889(x17493,x17491,x17494,x17495,x17496,x17497),f889(x17493,x17492,x17494,x17495,x17496,x17497)) % 209.33/209.65 [1750]~E(x17501,x17502)+E(f889(x17503,x17504,x17501,x17505,x17506,x17507),f889(x17503,x17504,x17502,x17505,x17506,x17507)) % 209.33/209.65 [1751]~E(x17511,x17512)+E(f889(x17513,x17514,x17515,x17511,x17516,x17517),f889(x17513,x17514,x17515,x17512,x17516,x17517)) % 209.33/209.65 [1752]~E(x17521,x17522)+E(f889(x17523,x17524,x17525,x17526,x17521,x17527),f889(x17523,x17524,x17525,x17526,x17522,x17527)) % 209.33/209.65 [1753]~E(x17531,x17532)+E(f889(x17533,x17534,x17535,x17536,x17537,x17531),f889(x17533,x17534,x17535,x17536,x17537,x17532)) % 209.33/209.65 [1754]~E(x17541,x17542)+E(f706(x17541,x17543,x17544,x17545,x17546),f706(x17542,x17543,x17544,x17545,x17546)) % 209.33/209.65 [1755]~E(x17551,x17552)+E(f706(x17553,x17551,x17554,x17555,x17556),f706(x17553,x17552,x17554,x17555,x17556)) % 209.33/209.65 [1756]~E(x17561,x17562)+E(f706(x17563,x17564,x17561,x17565,x17566),f706(x17563,x17564,x17562,x17565,x17566)) % 209.33/209.65 [1757]~E(x17571,x17572)+E(f706(x17573,x17574,x17575,x17571,x17576),f706(x17573,x17574,x17575,x17572,x17576)) % 209.33/209.65 [1758]~E(x17581,x17582)+E(f706(x17583,x17584,x17585,x17586,x17581),f706(x17583,x17584,x17585,x17586,x17582)) % 209.33/209.65 [1759]~E(x17591,x17592)+E(f213(x17591),f213(x17592)) % 209.33/209.65 [1760]~E(x17601,x17602)+E(f750(x17601,x17603),f750(x17602,x17603)) % 209.33/209.65 [1761]~E(x17611,x17612)+E(f750(x17613,x17611),f750(x17613,x17612)) % 209.33/209.65 [1762]~E(x17621,x17622)+E(f690(x17621,x17623),f690(x17622,x17623)) % 209.33/209.65 [1763]~E(x17631,x17632)+E(f690(x17633,x17631),f690(x17633,x17632)) % 209.33/209.65 [1764]~E(x17641,x17642)+E(f396(x17641,x17643,x17644),f396(x17642,x17643,x17644)) % 209.33/209.65 [1765]~E(x17651,x17652)+E(f396(x17653,x17651,x17654),f396(x17653,x17652,x17654)) % 209.33/209.65 [1766]~E(x17661,x17662)+E(f396(x17663,x17664,x17661),f396(x17663,x17664,x17662)) % 209.33/209.65 [1767]~E(x17671,x17672)+E(f719(x17671,x17673,x17674,x17675,x17676),f719(x17672,x17673,x17674,x17675,x17676)) % 209.33/209.65 [1768]~E(x17681,x17682)+E(f719(x17683,x17681,x17684,x17685,x17686),f719(x17683,x17682,x17684,x17685,x17686)) % 209.33/209.65 [1769]~E(x17691,x17692)+E(f719(x17693,x17694,x17691,x17695,x17696),f719(x17693,x17694,x17692,x17695,x17696)) % 209.33/209.65 [1770]~E(x17701,x17702)+E(f719(x17703,x17704,x17705,x17701,x17706),f719(x17703,x17704,x17705,x17702,x17706)) % 209.33/209.65 [1771]~E(x17711,x17712)+E(f719(x17713,x17714,x17715,x17716,x17711),f719(x17713,x17714,x17715,x17716,x17712)) % 209.33/209.65 [1772]~E(x17721,x17722)+E(f527(x17721,x17723,x17724,x17725),f527(x17722,x17723,x17724,x17725)) % 209.33/209.65 [1773]~E(x17731,x17732)+E(f527(x17733,x17731,x17734,x17735),f527(x17733,x17732,x17734,x17735)) % 209.33/209.65 [1774]~E(x17741,x17742)+E(f527(x17743,x17744,x17741,x17745),f527(x17743,x17744,x17742,x17745)) % 209.33/209.65 [1775]~E(x17751,x17752)+E(f527(x17753,x17754,x17755,x17751),f527(x17753,x17754,x17755,x17752)) % 209.33/209.65 [1776]~E(x17761,x17762)+E(f791(x17761,x17763,x17764),f791(x17762,x17763,x17764)) % 209.33/209.65 [1777]~E(x17771,x17772)+E(f791(x17773,x17771,x17774),f791(x17773,x17772,x17774)) % 209.33/209.65 [1778]~E(x17781,x17782)+E(f791(x17783,x17784,x17781),f791(x17783,x17784,x17782)) % 209.33/209.65 [1779]~E(x17791,x17792)+E(f448(x17791,x17793,x17794,x17795),f448(x17792,x17793,x17794,x17795)) % 209.33/209.65 [1780]~E(x17801,x17802)+E(f448(x17803,x17801,x17804,x17805),f448(x17803,x17802,x17804,x17805)) % 209.33/209.65 [1781]~E(x17811,x17812)+E(f448(x17813,x17814,x17811,x17815),f448(x17813,x17814,x17812,x17815)) % 209.33/209.65 [1782]~E(x17821,x17822)+E(f448(x17823,x17824,x17825,x17821),f448(x17823,x17824,x17825,x17822)) % 209.33/209.65 [1783]~E(x17831,x17832)+E(f678(x17831,x17833,x17834,x17835,x17836),f678(x17832,x17833,x17834,x17835,x17836)) % 209.33/209.65 [1784]~E(x17841,x17842)+E(f678(x17843,x17841,x17844,x17845,x17846),f678(x17843,x17842,x17844,x17845,x17846)) % 209.33/209.65 [1785]~E(x17851,x17852)+E(f678(x17853,x17854,x17851,x17855,x17856),f678(x17853,x17854,x17852,x17855,x17856)) % 209.33/209.65 [1786]~E(x17861,x17862)+E(f678(x17863,x17864,x17865,x17861,x17866),f678(x17863,x17864,x17865,x17862,x17866)) % 209.33/209.65 [1787]~E(x17871,x17872)+E(f678(x17873,x17874,x17875,x17876,x17871),f678(x17873,x17874,x17875,x17876,x17872)) % 209.33/209.65 [1788]~E(x17881,x17882)+E(f857(x17881,x17883,x17884,x17885,x17886,x17887,x17888,x17889),f857(x17882,x17883,x17884,x17885,x17886,x17887,x17888,x17889)) % 209.33/209.65 [1789]~E(x17891,x17892)+E(f857(x17893,x17891,x17894,x17895,x17896,x17897,x17898,x17899),f857(x17893,x17892,x17894,x17895,x17896,x17897,x17898,x17899)) % 209.33/209.65 [1790]~E(x17901,x17902)+E(f857(x17903,x17904,x17901,x17905,x17906,x17907,x17908,x17909),f857(x17903,x17904,x17902,x17905,x17906,x17907,x17908,x17909)) % 209.33/209.65 [1791]~E(x17911,x17912)+E(f857(x17913,x17914,x17915,x17911,x17916,x17917,x17918,x17919),f857(x17913,x17914,x17915,x17912,x17916,x17917,x17918,x17919)) % 209.33/209.65 [1792]~E(x17921,x17922)+E(f857(x17923,x17924,x17925,x17926,x17921,x17927,x17928,x17929),f857(x17923,x17924,x17925,x17926,x17922,x17927,x17928,x17929)) % 209.33/209.65 [1793]~E(x17931,x17932)+E(f857(x17933,x17934,x17935,x17936,x17937,x17931,x17938,x17939),f857(x17933,x17934,x17935,x17936,x17937,x17932,x17938,x17939)) % 209.33/209.65 [1794]~E(x17941,x17942)+E(f857(x17943,x17944,x17945,x17946,x17947,x17948,x17941,x17949),f857(x17943,x17944,x17945,x17946,x17947,x17948,x17942,x17949)) % 209.33/209.65 [1795]~E(x17951,x17952)+E(f857(x17953,x17954,x17955,x17956,x17957,x17958,x17959,x17951),f857(x17953,x17954,x17955,x17956,x17957,x17958,x17959,x17952)) % 209.33/209.65 [1796]~E(x17961,x17962)+E(f680(x17961,x17963,x17964,x17965),f680(x17962,x17963,x17964,x17965)) % 209.33/209.65 [1797]~E(x17971,x17972)+E(f680(x17973,x17971,x17974,x17975),f680(x17973,x17972,x17974,x17975)) % 209.33/209.65 [1798]~E(x17981,x17982)+E(f680(x17983,x17984,x17981,x17985),f680(x17983,x17984,x17982,x17985)) % 209.33/209.65 [1799]~E(x17991,x17992)+E(f680(x17993,x17994,x17995,x17991),f680(x17993,x17994,x17995,x17992)) % 209.33/209.65 [1800]~E(x18001,x18002)+E(f137(x18001,x18003,x18004,x18005),f137(x18002,x18003,x18004,x18005)) % 209.33/209.65 [1801]~E(x18011,x18012)+E(f137(x18013,x18011,x18014,x18015),f137(x18013,x18012,x18014,x18015)) % 209.33/209.65 [1802]~E(x18021,x18022)+E(f137(x18023,x18024,x18021,x18025),f137(x18023,x18024,x18022,x18025)) % 209.33/209.65 [1803]~E(x18031,x18032)+E(f137(x18033,x18034,x18035,x18031),f137(x18033,x18034,x18035,x18032)) % 209.33/209.65 [1804]~E(x18041,x18042)+E(f377(x18041,x18043),f377(x18042,x18043)) % 209.33/209.65 [1805]~E(x18051,x18052)+E(f377(x18053,x18051),f377(x18053,x18052)) % 209.33/209.65 [1806]~E(x18061,x18062)+E(f563(x18061,x18063,x18064,x18065,x18066),f563(x18062,x18063,x18064,x18065,x18066)) % 209.33/209.65 [1807]~E(x18071,x18072)+E(f563(x18073,x18071,x18074,x18075,x18076),f563(x18073,x18072,x18074,x18075,x18076)) % 209.33/209.65 [1808]~E(x18081,x18082)+E(f563(x18083,x18084,x18081,x18085,x18086),f563(x18083,x18084,x18082,x18085,x18086)) % 209.33/209.65 [1809]~E(x18091,x18092)+E(f563(x18093,x18094,x18095,x18091,x18096),f563(x18093,x18094,x18095,x18092,x18096)) % 209.33/209.65 [1810]~E(x18101,x18102)+E(f563(x18103,x18104,x18105,x18106,x18101),f563(x18103,x18104,x18105,x18106,x18102)) % 209.33/209.65 [1811]~E(x18111,x18112)+E(f606(x18111,x18113,x18114),f606(x18112,x18113,x18114)) % 209.33/209.65 [1812]~E(x18121,x18122)+E(f606(x18123,x18121,x18124),f606(x18123,x18122,x18124)) % 209.33/209.65 [1813]~E(x18131,x18132)+E(f606(x18133,x18134,x18131),f606(x18133,x18134,x18132)) % 209.33/209.65 [1814]~E(x18141,x18142)+E(f825(x18141),f825(x18142)) % 209.33/209.65 [1815]~E(x18151,x18152)+E(f486(x18151,x18153,x18154,x18155,x18156),f486(x18152,x18153,x18154,x18155,x18156)) % 209.33/209.65 [1816]~E(x18161,x18162)+E(f486(x18163,x18161,x18164,x18165,x18166),f486(x18163,x18162,x18164,x18165,x18166)) % 209.33/209.65 [1817]~E(x18171,x18172)+E(f486(x18173,x18174,x18171,x18175,x18176),f486(x18173,x18174,x18172,x18175,x18176)) % 209.33/209.65 [1818]~E(x18181,x18182)+E(f486(x18183,x18184,x18185,x18181,x18186),f486(x18183,x18184,x18185,x18182,x18186)) % 209.33/209.65 [1819]~E(x18191,x18192)+E(f486(x18193,x18194,x18195,x18196,x18191),f486(x18193,x18194,x18195,x18196,x18192)) % 209.33/209.65 [1820]~E(x18201,x18202)+E(f432(x18201,x18203,x18204,x18205,x18206,x18207),f432(x18202,x18203,x18204,x18205,x18206,x18207)) % 209.33/209.65 [1821]~E(x18211,x18212)+E(f432(x18213,x18211,x18214,x18215,x18216,x18217),f432(x18213,x18212,x18214,x18215,x18216,x18217)) % 209.33/209.65 [1822]~E(x18221,x18222)+E(f432(x18223,x18224,x18221,x18225,x18226,x18227),f432(x18223,x18224,x18222,x18225,x18226,x18227)) % 209.33/209.65 [1823]~E(x18231,x18232)+E(f432(x18233,x18234,x18235,x18231,x18236,x18237),f432(x18233,x18234,x18235,x18232,x18236,x18237)) % 209.33/209.65 [1824]~E(x18241,x18242)+E(f432(x18243,x18244,x18245,x18246,x18241,x18247),f432(x18243,x18244,x18245,x18246,x18242,x18247)) % 209.33/209.65 [1825]~E(x18251,x18252)+E(f432(x18253,x18254,x18255,x18256,x18257,x18251),f432(x18253,x18254,x18255,x18256,x18257,x18252)) % 209.33/209.65 [1826]~E(x18261,x18262)+E(f416(x18261,x18263),f416(x18262,x18263)) % 209.33/209.65 [1827]~E(x18271,x18272)+E(f416(x18273,x18271),f416(x18273,x18272)) % 209.33/209.65 [1828]~E(x18281,x18282)+E(f565(x18281,x18283,x18284),f565(x18282,x18283,x18284)) % 209.33/209.65 [1829]~E(x18291,x18292)+E(f565(x18293,x18291,x18294),f565(x18293,x18292,x18294)) % 209.33/209.65 [1830]~E(x18301,x18302)+E(f565(x18303,x18304,x18301),f565(x18303,x18304,x18302)) % 209.33/209.65 [1831]~E(x18311,x18312)+E(f569(x18311,x18313,x18314),f569(x18312,x18313,x18314)) % 209.33/209.65 [1832]~E(x18321,x18322)+E(f569(x18323,x18321,x18324),f569(x18323,x18322,x18324)) % 209.33/209.65 [1833]~E(x18331,x18332)+E(f569(x18333,x18334,x18331),f569(x18333,x18334,x18332)) % 209.33/209.65 [1834]~E(x18341,x18342)+E(f559(x18341,x18343,x18344),f559(x18342,x18343,x18344)) % 209.33/209.65 [1835]~E(x18351,x18352)+E(f559(x18353,x18351,x18354),f559(x18353,x18352,x18354)) % 209.33/209.65 [1836]~E(x18361,x18362)+E(f559(x18363,x18364,x18361),f559(x18363,x18364,x18362)) % 209.33/209.65 [1837]~E(x18371,x18372)+E(f72(x18371,x18373,x18374),f72(x18372,x18373,x18374)) % 209.33/209.65 [1838]~E(x18381,x18382)+E(f72(x18383,x18381,x18384),f72(x18383,x18382,x18384)) % 209.33/209.65 [1839]~E(x18391,x18392)+E(f72(x18393,x18394,x18391),f72(x18393,x18394,x18392)) % 209.33/209.65 [1840]~E(x18401,x18402)+E(f494(x18401,x18403,x18404),f494(x18402,x18403,x18404)) % 209.33/209.65 [1841]~E(x18411,x18412)+E(f494(x18413,x18411,x18414),f494(x18413,x18412,x18414)) % 209.33/209.65 [1842]~E(x18421,x18422)+E(f494(x18423,x18424,x18421),f494(x18423,x18424,x18422)) % 209.33/209.65 [1843]~E(x18431,x18432)+E(f488(x18431,x18433,x18434,x18435,x18436,x18437),f488(x18432,x18433,x18434,x18435,x18436,x18437)) % 209.33/209.65 [1844]~E(x18441,x18442)+E(f488(x18443,x18441,x18444,x18445,x18446,x18447),f488(x18443,x18442,x18444,x18445,x18446,x18447)) % 209.33/209.65 [1845]~E(x18451,x18452)+E(f488(x18453,x18454,x18451,x18455,x18456,x18457),f488(x18453,x18454,x18452,x18455,x18456,x18457)) % 209.33/209.65 [1846]~E(x18461,x18462)+E(f488(x18463,x18464,x18465,x18461,x18466,x18467),f488(x18463,x18464,x18465,x18462,x18466,x18467)) % 209.33/209.65 [1847]~E(x18471,x18472)+E(f488(x18473,x18474,x18475,x18476,x18471,x18477),f488(x18473,x18474,x18475,x18476,x18472,x18477)) % 209.33/209.65 [1848]~E(x18481,x18482)+E(f488(x18483,x18484,x18485,x18486,x18487,x18481),f488(x18483,x18484,x18485,x18486,x18487,x18482)) % 209.33/209.65 [1849]~E(x18491,x18492)+E(f220(x18491,x18493,x18494,x18495,x18496,x18497,x18498),f220(x18492,x18493,x18494,x18495,x18496,x18497,x18498)) % 209.33/209.65 [1850]~E(x18501,x18502)+E(f220(x18503,x18501,x18504,x18505,x18506,x18507,x18508),f220(x18503,x18502,x18504,x18505,x18506,x18507,x18508)) % 209.33/209.65 [1851]~E(x18511,x18512)+E(f220(x18513,x18514,x18511,x18515,x18516,x18517,x18518),f220(x18513,x18514,x18512,x18515,x18516,x18517,x18518)) % 209.33/209.65 [1852]~E(x18521,x18522)+E(f220(x18523,x18524,x18525,x18521,x18526,x18527,x18528),f220(x18523,x18524,x18525,x18522,x18526,x18527,x18528)) % 209.33/209.65 [1853]~E(x18531,x18532)+E(f220(x18533,x18534,x18535,x18536,x18531,x18537,x18538),f220(x18533,x18534,x18535,x18536,x18532,x18537,x18538)) % 209.33/209.65 [1854]~E(x18541,x18542)+E(f220(x18543,x18544,x18545,x18546,x18547,x18541,x18548),f220(x18543,x18544,x18545,x18546,x18547,x18542,x18548)) % 209.33/209.65 [1855]~E(x18551,x18552)+E(f220(x18553,x18554,x18555,x18556,x18557,x18558,x18551),f220(x18553,x18554,x18555,x18556,x18557,x18558,x18552)) % 209.33/209.65 [1856]~E(x18561,x18562)+E(f734(x18561,x18563,x18564),f734(x18562,x18563,x18564)) % 209.33/209.65 [1857]~E(x18571,x18572)+E(f734(x18573,x18571,x18574),f734(x18573,x18572,x18574)) % 209.33/209.65 [1858]~E(x18581,x18582)+E(f734(x18583,x18584,x18581),f734(x18583,x18584,x18582)) % 209.33/209.65 [1859]~E(x18591,x18592)+E(f341(x18591),f341(x18592)) % 209.33/209.65 [1860]~E(x18601,x18602)+E(f498(x18601,x18603,x18604,x18605),f498(x18602,x18603,x18604,x18605)) % 209.33/209.65 [1861]~E(x18611,x18612)+E(f498(x18613,x18611,x18614,x18615),f498(x18613,x18612,x18614,x18615)) % 209.33/209.65 [1862]~E(x18621,x18622)+E(f498(x18623,x18624,x18621,x18625),f498(x18623,x18624,x18622,x18625)) % 209.33/209.65 [1863]~E(x18631,x18632)+E(f498(x18633,x18634,x18635,x18631),f498(x18633,x18634,x18635,x18632)) % 209.33/209.65 [1864]~E(x18641,x18642)+E(f553(x18641,x18643,x18644),f553(x18642,x18643,x18644)) % 209.33/209.65 [1865]~E(x18651,x18652)+E(f553(x18653,x18651,x18654),f553(x18653,x18652,x18654)) % 209.33/209.65 [1866]~E(x18661,x18662)+E(f553(x18663,x18664,x18661),f553(x18663,x18664,x18662)) % 209.33/209.65 [1867]~E(x18671,x18672)+E(f253(x18671,x18673,x18674),f253(x18672,x18673,x18674)) % 209.33/209.65 [1868]~E(x18681,x18682)+E(f253(x18683,x18681,x18684),f253(x18683,x18682,x18684)) % 209.33/209.65 [1869]~E(x18691,x18692)+E(f253(x18693,x18694,x18691),f253(x18693,x18694,x18692)) % 209.33/209.65 [1870]~E(x18701,x18702)+E(f731(x18701,x18703),f731(x18702,x18703)) % 209.33/209.65 [1871]~E(x18711,x18712)+E(f731(x18713,x18711),f731(x18713,x18712)) % 209.33/209.65 [1872]~E(x18721,x18722)+E(f696(x18721,x18723,x18724),f696(x18722,x18723,x18724)) % 209.33/209.65 [1873]~E(x18731,x18732)+E(f696(x18733,x18731,x18734),f696(x18733,x18732,x18734)) % 209.33/209.65 [1874]~E(x18741,x18742)+E(f696(x18743,x18744,x18741),f696(x18743,x18744,x18742)) % 209.33/209.65 [1875]~E(x18751,x18752)+E(f503(x18751,x18753,x18754),f503(x18752,x18753,x18754)) % 209.33/209.65 [1876]~E(x18761,x18762)+E(f503(x18763,x18761,x18764),f503(x18763,x18762,x18764)) % 209.33/209.65 [1877]~E(x18771,x18772)+E(f503(x18773,x18774,x18771),f503(x18773,x18774,x18772)) % 209.33/209.65 [1878]~E(x18781,x18782)+E(f499(x18781,x18783),f499(x18782,x18783)) % 209.33/209.65 [1879]~E(x18791,x18792)+E(f499(x18793,x18791),f499(x18793,x18792)) % 209.33/209.65 [1880]~E(x18801,x18802)+E(f19(x18801,x18803,x18804,x18805),f19(x18802,x18803,x18804,x18805)) % 209.33/209.65 [1881]~E(x18811,x18812)+E(f19(x18813,x18811,x18814,x18815),f19(x18813,x18812,x18814,x18815)) % 209.33/209.65 [1882]~E(x18821,x18822)+E(f19(x18823,x18824,x18821,x18825),f19(x18823,x18824,x18822,x18825)) % 209.33/209.65 [1883]~E(x18831,x18832)+E(f19(x18833,x18834,x18835,x18831),f19(x18833,x18834,x18835,x18832)) % 209.33/209.65 [1884]~E(x18841,x18842)+E(f352(x18841,x18843,x18844),f352(x18842,x18843,x18844)) % 209.33/209.65 [1885]~E(x18851,x18852)+E(f352(x18853,x18851,x18854),f352(x18853,x18852,x18854)) % 209.33/209.65 [1886]~E(x18861,x18862)+E(f352(x18863,x18864,x18861),f352(x18863,x18864,x18862)) % 209.33/209.65 [1887]~E(x18871,x18872)+E(f355(x18871,x18873),f355(x18872,x18873)) % 209.33/209.65 [1888]~E(x18881,x18882)+E(f355(x18883,x18881),f355(x18883,x18882)) % 209.33/209.65 [1889]~E(x18891,x18892)+E(f893(x18891,x18893,x18894),f893(x18892,x18893,x18894)) % 209.33/209.65 [1890]~E(x18901,x18902)+E(f893(x18903,x18901,x18904),f893(x18903,x18902,x18904)) % 209.33/209.65 [1891]~E(x18911,x18912)+E(f893(x18913,x18914,x18911),f893(x18913,x18914,x18912)) % 209.33/209.65 [1892]~E(x18921,x18922)+E(f626(x18921,x18923,x18924,x18925,x18926),f626(x18922,x18923,x18924,x18925,x18926)) % 209.33/209.65 [1893]~E(x18931,x18932)+E(f626(x18933,x18931,x18934,x18935,x18936),f626(x18933,x18932,x18934,x18935,x18936)) % 209.33/209.65 [1894]~E(x18941,x18942)+E(f626(x18943,x18944,x18941,x18945,x18946),f626(x18943,x18944,x18942,x18945,x18946)) % 209.33/209.65 [1895]~E(x18951,x18952)+E(f626(x18953,x18954,x18955,x18951,x18956),f626(x18953,x18954,x18955,x18952,x18956)) % 209.33/209.65 [1896]~E(x18961,x18962)+E(f626(x18963,x18964,x18965,x18966,x18961),f626(x18963,x18964,x18965,x18966,x18962)) % 209.33/209.65 [1897]~E(x18971,x18972)+E(f828(x18971,x18973),f828(x18972,x18973)) % 209.33/209.65 [1898]~E(x18981,x18982)+E(f828(x18983,x18981),f828(x18983,x18982)) % 209.33/209.65 [1899]~E(x18991,x18992)+E(f456(x18991,x18993,x18994),f456(x18992,x18993,x18994)) % 209.33/209.65 [1900]~E(x19001,x19002)+E(f456(x19003,x19001,x19004),f456(x19003,x19002,x19004)) % 209.33/209.65 [1901]~E(x19011,x19012)+E(f456(x19013,x19014,x19011),f456(x19013,x19014,x19012)) % 209.33/209.65 [1902]~E(x19021,x19022)+E(f508(x19021,x19023,x19024),f508(x19022,x19023,x19024)) % 209.33/209.65 [1903]~E(x19031,x19032)+E(f508(x19033,x19031,x19034),f508(x19033,x19032,x19034)) % 209.33/209.65 [1904]~E(x19041,x19042)+E(f508(x19043,x19044,x19041),f508(x19043,x19044,x19042)) % 209.33/209.65 [1905]~E(x19051,x19052)+E(f765(x19051,x19053,x19054,x19055,x19056),f765(x19052,x19053,x19054,x19055,x19056)) % 209.33/209.65 [1906]~E(x19061,x19062)+E(f765(x19063,x19061,x19064,x19065,x19066),f765(x19063,x19062,x19064,x19065,x19066)) % 209.33/209.65 [1907]~E(x19071,x19072)+E(f765(x19073,x19074,x19071,x19075,x19076),f765(x19073,x19074,x19072,x19075,x19076)) % 209.33/209.65 [1908]~E(x19081,x19082)+E(f765(x19083,x19084,x19085,x19081,x19086),f765(x19083,x19084,x19085,x19082,x19086)) % 209.33/209.65 [1909]~E(x19091,x19092)+E(f765(x19093,x19094,x19095,x19096,x19091),f765(x19093,x19094,x19095,x19096,x19092)) % 209.33/209.65 [1910]~E(x19101,x19102)+E(f898(x19101,x19103,x19104,x19105,x19106,x19107),f898(x19102,x19103,x19104,x19105,x19106,x19107)) % 209.33/209.65 [1911]~E(x19111,x19112)+E(f898(x19113,x19111,x19114,x19115,x19116,x19117),f898(x19113,x19112,x19114,x19115,x19116,x19117)) % 209.33/209.65 [1912]~E(x19121,x19122)+E(f898(x19123,x19124,x19121,x19125,x19126,x19127),f898(x19123,x19124,x19122,x19125,x19126,x19127)) % 209.33/209.65 [1913]~E(x19131,x19132)+E(f898(x19133,x19134,x19135,x19131,x19136,x19137),f898(x19133,x19134,x19135,x19132,x19136,x19137)) % 209.33/209.65 [1914]~E(x19141,x19142)+E(f898(x19143,x19144,x19145,x19146,x19141,x19147),f898(x19143,x19144,x19145,x19146,x19142,x19147)) % 209.33/209.65 [1915]~E(x19151,x19152)+E(f898(x19153,x19154,x19155,x19156,x19157,x19151),f898(x19153,x19154,x19155,x19156,x19157,x19152)) % 209.33/209.65 [1916]~E(x19161,x19162)+E(f375(x19161,x19163,x19164),f375(x19162,x19163,x19164)) % 209.33/209.65 [1917]~E(x19171,x19172)+E(f375(x19173,x19171,x19174),f375(x19173,x19172,x19174)) % 209.33/209.65 [1918]~E(x19181,x19182)+E(f375(x19183,x19184,x19181),f375(x19183,x19184,x19182)) % 209.33/209.65 [1919]~E(x19191,x19192)+E(f826(x19191,x19193),f826(x19192,x19193)) % 209.33/209.65 [1920]~E(x19201,x19202)+E(f826(x19203,x19201),f826(x19203,x19202)) % 209.33/209.65 [1921]~E(x19211,x19212)+E(f787(x19211,x19213,x19214),f787(x19212,x19213,x19214)) % 209.33/209.65 [1922]~E(x19221,x19222)+E(f787(x19223,x19221,x19224),f787(x19223,x19222,x19224)) % 209.33/209.65 [1923]~E(x19231,x19232)+E(f787(x19233,x19234,x19231),f787(x19233,x19234,x19232)) % 209.33/209.65 [1924]~E(x19241,x19242)+E(f277(x19241,x19243),f277(x19242,x19243)) % 209.33/209.65 [1925]~E(x19251,x19252)+E(f277(x19253,x19251),f277(x19253,x19252)) % 209.33/209.65 [1926]~E(x19261,x19262)+E(f306(x19261,x19263,x19264),f306(x19262,x19263,x19264)) % 209.33/209.65 [1927]~E(x19271,x19272)+E(f306(x19273,x19271,x19274),f306(x19273,x19272,x19274)) % 209.33/209.65 [1928]~E(x19281,x19282)+E(f306(x19283,x19284,x19281),f306(x19283,x19284,x19282)) % 209.33/209.65 [1929]~E(x19291,x19292)+E(f604(x19291,x19293),f604(x19292,x19293)) % 209.33/209.65 [1930]~E(x19301,x19302)+E(f604(x19303,x19301),f604(x19303,x19302)) % 209.33/209.65 [1931]~E(x19311,x19312)+E(f638(x19311,x19313,x19314,x19315,x19316),f638(x19312,x19313,x19314,x19315,x19316)) % 209.33/209.65 [1932]~E(x19321,x19322)+E(f638(x19323,x19321,x19324,x19325,x19326),f638(x19323,x19322,x19324,x19325,x19326)) % 209.33/209.65 [1933]~E(x19331,x19332)+E(f638(x19333,x19334,x19331,x19335,x19336),f638(x19333,x19334,x19332,x19335,x19336)) % 209.33/209.65 [1934]~E(x19341,x19342)+E(f638(x19343,x19344,x19345,x19341,x19346),f638(x19343,x19344,x19345,x19342,x19346)) % 209.33/209.65 [1935]~E(x19351,x19352)+E(f638(x19353,x19354,x19355,x19356,x19351),f638(x19353,x19354,x19355,x19356,x19352)) % 209.33/209.65 [1936]~E(x19361,x19362)+E(f644(x19361,x19363,x19364,x19365,x19366,x19367,x19368,x19369),f644(x19362,x19363,x19364,x19365,x19366,x19367,x19368,x19369)) % 209.33/209.65 [1937]~E(x19371,x19372)+E(f644(x19373,x19371,x19374,x19375,x19376,x19377,x19378,x19379),f644(x19373,x19372,x19374,x19375,x19376,x19377,x19378,x19379)) % 209.33/209.65 [1938]~E(x19381,x19382)+E(f644(x19383,x19384,x19381,x19385,x19386,x19387,x19388,x19389),f644(x19383,x19384,x19382,x19385,x19386,x19387,x19388,x19389)) % 209.33/209.65 [1939]~E(x19391,x19392)+E(f644(x19393,x19394,x19395,x19391,x19396,x19397,x19398,x19399),f644(x19393,x19394,x19395,x19392,x19396,x19397,x19398,x19399)) % 209.33/209.65 [1940]~E(x19401,x19402)+E(f644(x19403,x19404,x19405,x19406,x19401,x19407,x19408,x19409),f644(x19403,x19404,x19405,x19406,x19402,x19407,x19408,x19409)) % 209.33/209.65 [1941]~E(x19411,x19412)+E(f644(x19413,x19414,x19415,x19416,x19417,x19411,x19418,x19419),f644(x19413,x19414,x19415,x19416,x19417,x19412,x19418,x19419)) % 209.33/209.65 [1942]~E(x19421,x19422)+E(f644(x19423,x19424,x19425,x19426,x19427,x19428,x19421,x19429),f644(x19423,x19424,x19425,x19426,x19427,x19428,x19422,x19429)) % 209.33/209.65 [1943]~E(x19431,x19432)+E(f644(x19433,x19434,x19435,x19436,x19437,x19438,x19439,x19431),f644(x19433,x19434,x19435,x19436,x19437,x19438,x19439,x19432)) % 209.33/209.65 [1944]~E(x19441,x19442)+E(f769(x19441,x19443,x19444,x19445,x19446),f769(x19442,x19443,x19444,x19445,x19446)) % 209.33/209.65 [1945]~E(x19451,x19452)+E(f769(x19453,x19451,x19454,x19455,x19456),f769(x19453,x19452,x19454,x19455,x19456)) % 209.33/209.65 [1946]~E(x19461,x19462)+E(f769(x19463,x19464,x19461,x19465,x19466),f769(x19463,x19464,x19462,x19465,x19466)) % 209.33/209.65 [1947]~E(x19471,x19472)+E(f769(x19473,x19474,x19475,x19471,x19476),f769(x19473,x19474,x19475,x19472,x19476)) % 209.33/209.65 [1948]~E(x19481,x19482)+E(f769(x19483,x19484,x19485,x19486,x19481),f769(x19483,x19484,x19485,x19486,x19482)) % 209.33/209.65 [1949]~E(x19491,x19492)+E(f303(x19491,x19493,x19494),f303(x19492,x19493,x19494)) % 209.33/209.65 [1950]~E(x19501,x19502)+E(f303(x19503,x19501,x19504),f303(x19503,x19502,x19504)) % 209.33/209.65 [1951]~E(x19511,x19512)+E(f303(x19513,x19514,x19511),f303(x19513,x19514,x19512)) % 209.33/209.65 [1952]~E(x19521,x19522)+E(f363(x19521,x19523,x19524),f363(x19522,x19523,x19524)) % 209.33/209.65 [1953]~E(x19531,x19532)+E(f363(x19533,x19531,x19534),f363(x19533,x19532,x19534)) % 209.33/209.65 [1954]~E(x19541,x19542)+E(f363(x19543,x19544,x19541),f363(x19543,x19544,x19542)) % 209.33/209.65 [1955]~E(x19551,x19552)+E(f580(x19551,x19553,x19554),f580(x19552,x19553,x19554)) % 209.33/209.65 [1956]~E(x19561,x19562)+E(f580(x19563,x19561,x19564),f580(x19563,x19562,x19564)) % 209.33/209.65 [1957]~E(x19571,x19572)+E(f580(x19573,x19574,x19571),f580(x19573,x19574,x19572)) % 209.33/209.65 [1958]~E(x19581,x19582)+E(f616(x19581,x19583,x19584),f616(x19582,x19583,x19584)) % 209.33/209.65 [1959]~E(x19591,x19592)+E(f616(x19593,x19591,x19594),f616(x19593,x19592,x19594)) % 209.33/209.65 [1960]~E(x19601,x19602)+E(f616(x19603,x19604,x19601),f616(x19603,x19604,x19602)) % 209.33/209.65 [1961]~E(x19611,x19612)+E(f522(x19611,x19613,x19614,x19615),f522(x19612,x19613,x19614,x19615)) % 209.33/209.65 [1962]~E(x19621,x19622)+E(f522(x19623,x19621,x19624,x19625),f522(x19623,x19622,x19624,x19625)) % 209.33/209.65 [1963]~E(x19631,x19632)+E(f522(x19633,x19634,x19631,x19635),f522(x19633,x19634,x19632,x19635)) % 209.33/209.65 [1964]~E(x19641,x19642)+E(f522(x19643,x19644,x19645,x19641),f522(x19643,x19644,x19645,x19642)) % 209.33/209.65 [1965]~E(x19651,x19652)+E(f882(x19651,x19653,x19654,x19655),f882(x19652,x19653,x19654,x19655)) % 209.33/209.65 [1966]~E(x19661,x19662)+E(f882(x19663,x19661,x19664,x19665),f882(x19663,x19662,x19664,x19665)) % 209.33/209.65 [1967]~E(x19671,x19672)+E(f882(x19673,x19674,x19671,x19675),f882(x19673,x19674,x19672,x19675)) % 209.33/209.65 [1968]~E(x19681,x19682)+E(f882(x19683,x19684,x19685,x19681),f882(x19683,x19684,x19685,x19682)) % 209.33/209.65 [1969]~E(x19691,x19692)+E(f740(x19691,x19693,x19694),f740(x19692,x19693,x19694)) % 209.33/209.65 [1970]~E(x19701,x19702)+E(f740(x19703,x19701,x19704),f740(x19703,x19702,x19704)) % 209.33/209.65 [1971]~E(x19711,x19712)+E(f740(x19713,x19714,x19711),f740(x19713,x19714,x19712)) % 209.33/209.65 [1972]~E(x19721,x19722)+E(f153(x19721,x19723),f153(x19722,x19723)) % 209.33/209.65 [1973]~E(x19731,x19732)+E(f153(x19733,x19731),f153(x19733,x19732)) % 209.33/209.65 [1974]~E(x19741,x19742)+E(f390(x19741,x19743),f390(x19742,x19743)) % 209.33/209.65 [1975]~E(x19751,x19752)+E(f390(x19753,x19751),f390(x19753,x19752)) % 209.33/209.65 [1976]~E(x19761,x19762)+E(f856(x19761,x19763,x19764,x19765,x19766,x19767),f856(x19762,x19763,x19764,x19765,x19766,x19767)) % 209.33/209.65 [1977]~E(x19771,x19772)+E(f856(x19773,x19771,x19774,x19775,x19776,x19777),f856(x19773,x19772,x19774,x19775,x19776,x19777)) % 209.33/209.65 [1978]~E(x19781,x19782)+E(f856(x19783,x19784,x19781,x19785,x19786,x19787),f856(x19783,x19784,x19782,x19785,x19786,x19787)) % 209.33/209.65 [1979]~E(x19791,x19792)+E(f856(x19793,x19794,x19795,x19791,x19796,x19797),f856(x19793,x19794,x19795,x19792,x19796,x19797)) % 209.33/209.65 [1980]~E(x19801,x19802)+E(f856(x19803,x19804,x19805,x19806,x19801,x19807),f856(x19803,x19804,x19805,x19806,x19802,x19807)) % 209.33/209.65 [1981]~E(x19811,x19812)+E(f856(x19813,x19814,x19815,x19816,x19817,x19811),f856(x19813,x19814,x19815,x19816,x19817,x19812)) % 209.33/209.65 [1982]~E(x19821,x19822)+E(f803(x19821,x19823,x19824,x19825),f803(x19822,x19823,x19824,x19825)) % 209.33/209.65 [1983]~E(x19831,x19832)+E(f803(x19833,x19831,x19834,x19835),f803(x19833,x19832,x19834,x19835)) % 209.33/209.65 [1984]~E(x19841,x19842)+E(f803(x19843,x19844,x19841,x19845),f803(x19843,x19844,x19842,x19845)) % 209.33/209.65 [1985]~E(x19851,x19852)+E(f803(x19853,x19854,x19855,x19851),f803(x19853,x19854,x19855,x19852)) % 209.33/209.65 [1986]~E(x19861,x19862)+E(f536(x19861,x19863),f536(x19862,x19863)) % 209.33/209.65 [1987]~E(x19871,x19872)+E(f536(x19873,x19871),f536(x19873,x19872)) % 209.33/209.65 [1988]~E(x19881,x19882)+E(f621(x19881,x19883,x19884,x19885,x19886),f621(x19882,x19883,x19884,x19885,x19886)) % 209.33/209.65 [1989]~E(x19891,x19892)+E(f621(x19893,x19891,x19894,x19895,x19896),f621(x19893,x19892,x19894,x19895,x19896)) % 209.33/209.65 [1990]~E(x19901,x19902)+E(f621(x19903,x19904,x19901,x19905,x19906),f621(x19903,x19904,x19902,x19905,x19906)) % 209.33/209.65 [1991]~E(x19911,x19912)+E(f621(x19913,x19914,x19915,x19911,x19916),f621(x19913,x19914,x19915,x19912,x19916)) % 209.33/209.65 [1992]~E(x19921,x19922)+E(f621(x19923,x19924,x19925,x19926,x19921),f621(x19923,x19924,x19925,x19926,x19922)) % 209.33/209.65 [1993]~E(x19931,x19932)+E(f909(x19931,x19933,x19934,x19935),f909(x19932,x19933,x19934,x19935)) % 209.33/209.65 [1994]~E(x19941,x19942)+E(f909(x19943,x19941,x19944,x19945),f909(x19943,x19942,x19944,x19945)) % 209.33/209.65 [1995]~E(x19951,x19952)+E(f909(x19953,x19954,x19951,x19955),f909(x19953,x19954,x19952,x19955)) % 209.33/209.65 [1996]~E(x19961,x19962)+E(f909(x19963,x19964,x19965,x19961),f909(x19963,x19964,x19965,x19962)) % 209.33/209.65 [1997]~E(x19971,x19972)+E(f788(x19971,x19973,x19974),f788(x19972,x19973,x19974)) % 209.33/209.65 [1998]~E(x19981,x19982)+E(f788(x19983,x19981,x19984),f788(x19983,x19982,x19984)) % 209.33/209.65 [1999]~E(x19991,x19992)+E(f788(x19993,x19994,x19991),f788(x19993,x19994,x19992)) % 209.33/209.65 [2000]~E(x20001,x20002)+E(f603(x20001,x20003,x20004),f603(x20002,x20003,x20004)) % 209.33/209.65 [2001]~E(x20011,x20012)+E(f603(x20013,x20011,x20014),f603(x20013,x20012,x20014)) % 209.33/209.65 [2002]~E(x20021,x20022)+E(f603(x20023,x20024,x20021),f603(x20023,x20024,x20022)) % 209.33/209.65 [2003]~E(x20031,x20032)+E(f617(x20031,x20033,x20034,x20035,x20036),f617(x20032,x20033,x20034,x20035,x20036)) % 209.33/209.65 [2004]~E(x20041,x20042)+E(f617(x20043,x20041,x20044,x20045,x20046),f617(x20043,x20042,x20044,x20045,x20046)) % 209.33/209.65 [2005]~E(x20051,x20052)+E(f617(x20053,x20054,x20051,x20055,x20056),f617(x20053,x20054,x20052,x20055,x20056)) % 209.33/209.65 [2006]~E(x20061,x20062)+E(f617(x20063,x20064,x20065,x20061,x20066),f617(x20063,x20064,x20065,x20062,x20066)) % 209.33/209.65 [2007]~E(x20071,x20072)+E(f617(x20073,x20074,x20075,x20076,x20071),f617(x20073,x20074,x20075,x20076,x20072)) % 209.33/209.65 [2008]~E(x20081,x20082)+E(f545(x20081,x20083),f545(x20082,x20083)) % 209.33/209.65 [2009]~E(x20091,x20092)+E(f545(x20093,x20091),f545(x20093,x20092)) % 209.33/209.65 [2010]~E(x20101,x20102)+E(f511(x20101,x20103,x20104,x20105),f511(x20102,x20103,x20104,x20105)) % 209.33/209.65 [2011]~E(x20111,x20112)+E(f511(x20113,x20111,x20114,x20115),f511(x20113,x20112,x20114,x20115)) % 209.33/209.65 [2012]~E(x20121,x20122)+E(f511(x20123,x20124,x20121,x20125),f511(x20123,x20124,x20122,x20125)) % 209.33/209.65 [2013]~E(x20131,x20132)+E(f511(x20133,x20134,x20135,x20131),f511(x20133,x20134,x20135,x20132)) % 209.33/209.65 [2014]~E(x20141,x20142)+E(f210(x20141),f210(x20142)) % 209.33/209.65 [2015]~E(x20151,x20152)+E(f197(x20151,x20153,x20154,x20155),f197(x20152,x20153,x20154,x20155)) % 209.33/209.65 [2016]~E(x20161,x20162)+E(f197(x20163,x20161,x20164,x20165),f197(x20163,x20162,x20164,x20165)) % 209.33/209.65 [2017]~E(x20171,x20172)+E(f197(x20173,x20174,x20171,x20175),f197(x20173,x20174,x20172,x20175)) % 209.33/209.65 [2018]~E(x20181,x20182)+E(f197(x20183,x20184,x20185,x20181),f197(x20183,x20184,x20185,x20182)) % 209.33/209.65 [2019]~E(x20191,x20192)+E(f720(x20191,x20193),f720(x20192,x20193)) % 209.33/209.65 [2020]~E(x20201,x20202)+E(f720(x20203,x20201),f720(x20203,x20202)) % 209.33/209.65 [2021]~E(x20211,x20212)+E(f413(x20211,x20213),f413(x20212,x20213)) % 209.33/209.65 [2022]~E(x20221,x20222)+E(f413(x20223,x20221),f413(x20223,x20222)) % 209.33/209.65 [2023]~E(x20231,x20232)+E(f526(x20231,x20233,x20234,x20235),f526(x20232,x20233,x20234,x20235)) % 209.33/209.65 [2024]~E(x20241,x20242)+E(f526(x20243,x20241,x20244,x20245),f526(x20243,x20242,x20244,x20245)) % 209.33/209.65 [2025]~E(x20251,x20252)+E(f526(x20253,x20254,x20251,x20255),f526(x20253,x20254,x20252,x20255)) % 209.33/209.65 [2026]~E(x20261,x20262)+E(f526(x20263,x20264,x20265,x20261),f526(x20263,x20264,x20265,x20262)) % 209.33/209.65 [2027]~E(x20271,x20272)+E(f586(x20271,x20273,x20274),f586(x20272,x20273,x20274)) % 209.33/209.65 [2028]~E(x20281,x20282)+E(f586(x20283,x20281,x20284),f586(x20283,x20282,x20284)) % 209.33/209.65 [2029]~E(x20291,x20292)+E(f586(x20293,x20294,x20291),f586(x20293,x20294,x20292)) % 209.33/209.65 [2030]~E(x20301,x20302)+E(f510(x20301,x20303,x20304,x20305),f510(x20302,x20303,x20304,x20305)) % 209.33/209.65 [2031]~E(x20311,x20312)+E(f510(x20313,x20311,x20314,x20315),f510(x20313,x20312,x20314,x20315)) % 209.33/209.65 [2032]~E(x20321,x20322)+E(f510(x20323,x20324,x20321,x20325),f510(x20323,x20324,x20322,x20325)) % 209.33/209.65 [2033]~E(x20331,x20332)+E(f510(x20333,x20334,x20335,x20331),f510(x20333,x20334,x20335,x20332)) % 209.33/209.65 [2034]~E(x20341,x20342)+E(f718(x20341,x20343,x20344,x20345,x20346),f718(x20342,x20343,x20344,x20345,x20346)) % 209.33/209.65 [2035]~E(x20351,x20352)+E(f718(x20353,x20351,x20354,x20355,x20356),f718(x20353,x20352,x20354,x20355,x20356)) % 209.33/209.65 [2036]~E(x20361,x20362)+E(f718(x20363,x20364,x20361,x20365,x20366),f718(x20363,x20364,x20362,x20365,x20366)) % 209.33/209.65 [2037]~E(x20371,x20372)+E(f718(x20373,x20374,x20375,x20371,x20376),f718(x20373,x20374,x20375,x20372,x20376)) % 209.33/209.65 [2038]~E(x20381,x20382)+E(f718(x20383,x20384,x20385,x20386,x20381),f718(x20383,x20384,x20385,x20386,x20382)) % 209.33/209.65 [2039]~E(x20391,x20392)+E(f567(x20391,x20393,x20394),f567(x20392,x20393,x20394)) % 209.33/209.65 [2040]~E(x20401,x20402)+E(f567(x20403,x20401,x20404),f567(x20403,x20402,x20404)) % 209.33/209.65 [2041]~E(x20411,x20412)+E(f567(x20413,x20414,x20411),f567(x20413,x20414,x20412)) % 209.33/209.65 [2042]~E(x20421,x20422)+E(f408(x20421,x20423,x20424,x20425),f408(x20422,x20423,x20424,x20425)) % 209.33/209.65 [2043]~E(x20431,x20432)+E(f408(x20433,x20431,x20434,x20435),f408(x20433,x20432,x20434,x20435)) % 209.33/209.65 [2044]~E(x20441,x20442)+E(f408(x20443,x20444,x20441,x20445),f408(x20443,x20444,x20442,x20445)) % 209.33/209.65 [2045]~E(x20451,x20452)+E(f408(x20453,x20454,x20455,x20451),f408(x20453,x20454,x20455,x20452)) % 209.33/209.65 [2046]~E(x20461,x20462)+E(f820(x20461,x20463,x20464,x20465),f820(x20462,x20463,x20464,x20465)) % 209.33/209.65 [2047]~E(x20471,x20472)+E(f820(x20473,x20471,x20474,x20475),f820(x20473,x20472,x20474,x20475)) % 209.33/209.65 [2048]~E(x20481,x20482)+E(f820(x20483,x20484,x20481,x20485),f820(x20483,x20484,x20482,x20485)) % 209.33/209.65 [2049]~E(x20491,x20492)+E(f820(x20493,x20494,x20495,x20491),f820(x20493,x20494,x20495,x20492)) % 209.33/209.65 [2050]~E(x20501,x20502)+E(f885(x20501,x20503,x20504,x20505),f885(x20502,x20503,x20504,x20505)) % 209.33/209.65 [2051]~E(x20511,x20512)+E(f885(x20513,x20511,x20514,x20515),f885(x20513,x20512,x20514,x20515)) % 209.33/209.65 [2052]~E(x20521,x20522)+E(f885(x20523,x20524,x20521,x20525),f885(x20523,x20524,x20522,x20525)) % 209.33/209.65 [2053]~E(x20531,x20532)+E(f885(x20533,x20534,x20535,x20531),f885(x20533,x20534,x20535,x20532)) % 209.33/209.65 [2054]~E(x20541,x20542)+E(f848(x20541,x20543,x20544),f848(x20542,x20543,x20544)) % 209.33/209.65 [2055]~E(x20551,x20552)+E(f848(x20553,x20551,x20554),f848(x20553,x20552,x20554)) % 209.33/209.65 [2056]~E(x20561,x20562)+E(f848(x20563,x20564,x20561),f848(x20563,x20564,x20562)) % 209.33/209.65 [2057]~E(x20571,x20572)+E(f774(x20571,x20573,x20574),f774(x20572,x20573,x20574)) % 209.33/209.65 [2058]~E(x20581,x20582)+E(f774(x20583,x20581,x20584),f774(x20583,x20582,x20584)) % 209.33/209.65 [2059]~E(x20591,x20592)+E(f774(x20593,x20594,x20591),f774(x20593,x20594,x20592)) % 209.33/209.65 [2060]~E(x20601,x20602)+E(f399(x20601),f399(x20602)) % 209.33/209.65 [2061]~E(x20611,x20612)+E(f369(x20611,x20613,x20614),f369(x20612,x20613,x20614)) % 209.33/209.65 [2062]~E(x20621,x20622)+E(f369(x20623,x20621,x20624),f369(x20623,x20622,x20624)) % 209.33/209.65 [2063]~E(x20631,x20632)+E(f369(x20633,x20634,x20631),f369(x20633,x20634,x20632)) % 209.33/209.65 [2064]~E(x20641,x20642)+E(f429(x20641,x20643,x20644,x20645),f429(x20642,x20643,x20644,x20645)) % 209.33/209.65 [2065]~E(x20651,x20652)+E(f429(x20653,x20651,x20654,x20655),f429(x20653,x20652,x20654,x20655)) % 209.33/209.65 [2066]~E(x20661,x20662)+E(f429(x20663,x20664,x20661,x20665),f429(x20663,x20664,x20662,x20665)) % 209.33/209.65 [2067]~E(x20671,x20672)+E(f429(x20673,x20674,x20675,x20671),f429(x20673,x20674,x20675,x20672)) % 209.33/209.65 [2068]~E(x20681,x20682)+E(f783(x20681,x20683,x20684),f783(x20682,x20683,x20684)) % 209.33/209.65 [2069]~E(x20691,x20692)+E(f783(x20693,x20691,x20694),f783(x20693,x20692,x20694)) % 209.33/209.65 [2070]~E(x20701,x20702)+E(f783(x20703,x20704,x20701),f783(x20703,x20704,x20702)) % 209.33/209.65 [2071]~E(x20711,x20712)+E(f620(x20711,x20713),f620(x20712,x20713)) % 209.33/209.65 [2072]~E(x20721,x20722)+E(f620(x20723,x20721),f620(x20723,x20722)) % 209.33/209.65 [2073]~E(x20731,x20732)+E(f415(x20731,x20733,x20734,x20735,x20736,x20737),f415(x20732,x20733,x20734,x20735,x20736,x20737)) % 209.33/209.65 [2074]~E(x20741,x20742)+E(f415(x20743,x20741,x20744,x20745,x20746,x20747),f415(x20743,x20742,x20744,x20745,x20746,x20747)) % 209.33/209.65 [2075]~E(x20751,x20752)+E(f415(x20753,x20754,x20751,x20755,x20756,x20757),f415(x20753,x20754,x20752,x20755,x20756,x20757)) % 209.33/209.65 [2076]~E(x20761,x20762)+E(f415(x20763,x20764,x20765,x20761,x20766,x20767),f415(x20763,x20764,x20765,x20762,x20766,x20767)) % 209.33/209.65 [2077]~E(x20771,x20772)+E(f415(x20773,x20774,x20775,x20776,x20771,x20777),f415(x20773,x20774,x20775,x20776,x20772,x20777)) % 209.33/209.65 [2078]~E(x20781,x20782)+E(f415(x20783,x20784,x20785,x20786,x20787,x20781),f415(x20783,x20784,x20785,x20786,x20787,x20782)) % 209.33/209.65 [2079]~E(x20791,x20792)+E(f549(x20791,x20793,x20794,x20795,x20796,x20797,x20798,x20799),f549(x20792,x20793,x20794,x20795,x20796,x20797,x20798,x20799)) % 209.33/209.65 [2080]~E(x20801,x20802)+E(f549(x20803,x20801,x20804,x20805,x20806,x20807,x20808,x20809),f549(x20803,x20802,x20804,x20805,x20806,x20807,x20808,x20809)) % 209.33/209.65 [2081]~E(x20811,x20812)+E(f549(x20813,x20814,x20811,x20815,x20816,x20817,x20818,x20819),f549(x20813,x20814,x20812,x20815,x20816,x20817,x20818,x20819)) % 209.33/209.65 [2082]~E(x20821,x20822)+E(f549(x20823,x20824,x20825,x20821,x20826,x20827,x20828,x20829),f549(x20823,x20824,x20825,x20822,x20826,x20827,x20828,x20829)) % 209.33/209.65 [2083]~E(x20831,x20832)+E(f549(x20833,x20834,x20835,x20836,x20831,x20837,x20838,x20839),f549(x20833,x20834,x20835,x20836,x20832,x20837,x20838,x20839)) % 209.33/209.65 [2084]~E(x20841,x20842)+E(f549(x20843,x20844,x20845,x20846,x20847,x20841,x20848,x20849),f549(x20843,x20844,x20845,x20846,x20847,x20842,x20848,x20849)) % 209.33/209.65 [2085]~E(x20851,x20852)+E(f549(x20853,x20854,x20855,x20856,x20857,x20858,x20851,x20859),f549(x20853,x20854,x20855,x20856,x20857,x20858,x20852,x20859)) % 209.33/209.65 [2086]~E(x20861,x20862)+E(f549(x20863,x20864,x20865,x20866,x20867,x20868,x20869,x20861),f549(x20863,x20864,x20865,x20866,x20867,x20868,x20869,x20862)) % 209.33/209.65 [2087]~E(x20871,x20872)+E(f373(x20871),f373(x20872)) % 209.33/209.65 [2088]~E(x20881,x20882)+E(f917(x20881,x20883,x20884),f917(x20882,x20883,x20884)) % 209.33/209.65 [2089]~E(x20891,x20892)+E(f917(x20893,x20891,x20894),f917(x20893,x20892,x20894)) % 209.33/209.65 [2090]~E(x20901,x20902)+E(f917(x20903,x20904,x20901),f917(x20903,x20904,x20902)) % 209.33/209.65 [2091]~E(x20911,x20912)+E(f853(x20911,x20913,x20914),f853(x20912,x20913,x20914)) % 209.33/209.65 [2092]~E(x20921,x20922)+E(f853(x20923,x20921,x20924),f853(x20923,x20922,x20924)) % 209.33/209.65 [2093]~E(x20931,x20932)+E(f853(x20933,x20934,x20931),f853(x20933,x20934,x20932)) % 209.33/209.65 [2094]~E(x20941,x20942)+E(f711(x20941,x20943,x20944,x20945),f711(x20942,x20943,x20944,x20945)) % 209.33/209.65 [2095]~E(x20951,x20952)+E(f711(x20953,x20951,x20954,x20955),f711(x20953,x20952,x20954,x20955)) % 209.33/209.65 [2096]~E(x20961,x20962)+E(f711(x20963,x20964,x20961,x20965),f711(x20963,x20964,x20962,x20965)) % 209.33/209.65 [2097]~E(x20971,x20972)+E(f711(x20973,x20974,x20975,x20971),f711(x20973,x20974,x20975,x20972)) % 209.33/209.65 [2098]~E(x20981,x20982)+E(f514(x20981,x20983,x20984),f514(x20982,x20983,x20984)) % 209.33/209.65 [2099]~E(x20991,x20992)+E(f514(x20993,x20991,x20994),f514(x20993,x20992,x20994)) % 209.33/209.65 [2100]~E(x21001,x21002)+E(f514(x21003,x21004,x21001),f514(x21003,x21004,x21002)) % 209.33/209.65 [2101]~E(x21011,x21012)+E(f611(x21011,x21013,x21014,x21015,x21016),f611(x21012,x21013,x21014,x21015,x21016)) % 209.33/209.65 [2102]~E(x21021,x21022)+E(f611(x21023,x21021,x21024,x21025,x21026),f611(x21023,x21022,x21024,x21025,x21026)) % 209.33/209.65 [2103]~E(x21031,x21032)+E(f611(x21033,x21034,x21031,x21035,x21036),f611(x21033,x21034,x21032,x21035,x21036)) % 209.33/209.65 [2104]~E(x21041,x21042)+E(f611(x21043,x21044,x21045,x21041,x21046),f611(x21043,x21044,x21045,x21042,x21046)) % 209.33/209.65 [2105]~E(x21051,x21052)+E(f611(x21053,x21054,x21055,x21056,x21051),f611(x21053,x21054,x21055,x21056,x21052)) % 209.33/209.65 [2106]~E(x21061,x21062)+E(f381(x21061,x21063,x21064),f381(x21062,x21063,x21064)) % 209.33/209.65 [2107]~E(x21071,x21072)+E(f381(x21073,x21071,x21074),f381(x21073,x21072,x21074)) % 209.33/209.65 [2108]~E(x21081,x21082)+E(f381(x21083,x21084,x21081),f381(x21083,x21084,x21082)) % 209.33/209.65 [2109]~E(x21091,x21092)+E(f169(x21091,x21093),f169(x21092,x21093)) % 209.33/209.65 [2110]~E(x21101,x21102)+E(f169(x21103,x21101),f169(x21103,x21102)) % 209.33/209.65 [2111]~E(x21111,x21112)+E(f17(x21111,x21113,x21114,x21115),f17(x21112,x21113,x21114,x21115)) % 209.33/209.65 [2112]~E(x21121,x21122)+E(f17(x21123,x21121,x21124,x21125),f17(x21123,x21122,x21124,x21125)) % 209.33/209.65 [2113]~E(x21131,x21132)+E(f17(x21133,x21134,x21131,x21135),f17(x21133,x21134,x21132,x21135)) % 209.33/209.65 [2114]~E(x21141,x21142)+E(f17(x21143,x21144,x21145,x21141),f17(x21143,x21144,x21145,x21142)) % 209.33/209.65 [2115]~E(x21151,x21152)+E(f138(x21151,x21153,x21154,x21155),f138(x21152,x21153,x21154,x21155)) % 209.33/209.65 [2116]~E(x21161,x21162)+E(f138(x21163,x21161,x21164,x21165),f138(x21163,x21162,x21164,x21165)) % 209.33/209.65 [2117]~E(x21171,x21172)+E(f138(x21173,x21174,x21171,x21175),f138(x21173,x21174,x21172,x21175)) % 209.33/209.65 [2118]~E(x21181,x21182)+E(f138(x21183,x21184,x21185,x21181),f138(x21183,x21184,x21185,x21182)) % 209.33/209.65 [2119]~E(x21191,x21192)+E(f766(x21191,x21193,x21194,x21195,x21196),f766(x21192,x21193,x21194,x21195,x21196)) % 209.33/209.65 [2120]~E(x21201,x21202)+E(f766(x21203,x21201,x21204,x21205,x21206),f766(x21203,x21202,x21204,x21205,x21206)) % 209.33/209.65 [2121]~E(x21211,x21212)+E(f766(x21213,x21214,x21211,x21215,x21216),f766(x21213,x21214,x21212,x21215,x21216)) % 209.33/209.65 [2122]~E(x21221,x21222)+E(f766(x21223,x21224,x21225,x21221,x21226),f766(x21223,x21224,x21225,x21222,x21226)) % 209.33/209.65 [2123]~E(x21231,x21232)+E(f766(x21233,x21234,x21235,x21236,x21231),f766(x21233,x21234,x21235,x21236,x21232)) % 209.33/209.65 [2124]~E(x21241,x21242)+E(f287(x21241,x21243,x21244,x21245),f287(x21242,x21243,x21244,x21245)) % 209.33/209.65 [2125]~E(x21251,x21252)+E(f287(x21253,x21251,x21254,x21255),f287(x21253,x21252,x21254,x21255)) % 209.33/209.65 [2126]~E(x21261,x21262)+E(f287(x21263,x21264,x21261,x21265),f287(x21263,x21264,x21262,x21265)) % 209.33/209.65 [2127]~E(x21271,x21272)+E(f287(x21273,x21274,x21275,x21271),f287(x21273,x21274,x21275,x21272)) % 209.33/209.65 [2128]~E(x21281,x21282)+E(f794(x21281,x21283,x21284),f794(x21282,x21283,x21284)) % 209.33/209.65 [2129]~E(x21291,x21292)+E(f794(x21293,x21291,x21294),f794(x21293,x21292,x21294)) % 209.33/209.65 [2130]~E(x21301,x21302)+E(f794(x21303,x21304,x21301),f794(x21303,x21304,x21302)) % 209.33/209.65 [2131]~E(x21311,x21312)+E(f285(x21311,x21313,x21314,x21315),f285(x21312,x21313,x21314,x21315)) % 209.33/209.65 [2132]~E(x21321,x21322)+E(f285(x21323,x21321,x21324,x21325),f285(x21323,x21322,x21324,x21325)) % 209.33/209.65 [2133]~E(x21331,x21332)+E(f285(x21333,x21334,x21331,x21335),f285(x21333,x21334,x21332,x21335)) % 209.33/209.65 [2134]~E(x21341,x21342)+E(f285(x21343,x21344,x21345,x21341),f285(x21343,x21344,x21345,x21342)) % 209.33/209.65 [2135]~E(x21351,x21352)+E(f129(x21351,x21353,x21354,x21355),f129(x21352,x21353,x21354,x21355)) % 209.33/209.65 [2136]~E(x21361,x21362)+E(f129(x21363,x21361,x21364,x21365),f129(x21363,x21362,x21364,x21365)) % 209.33/209.65 [2137]~E(x21371,x21372)+E(f129(x21373,x21374,x21371,x21375),f129(x21373,x21374,x21372,x21375)) % 209.33/209.65 [2138]~E(x21381,x21382)+E(f129(x21383,x21384,x21385,x21381),f129(x21383,x21384,x21385,x21382)) % 209.33/209.65 [2139]~E(x21391,x21392)+E(f712(x21391,x21393,x21394,x21395,x21396),f712(x21392,x21393,x21394,x21395,x21396)) % 209.33/209.65 [2140]~E(x21401,x21402)+E(f712(x21403,x21401,x21404,x21405,x21406),f712(x21403,x21402,x21404,x21405,x21406)) % 209.33/209.65 [2141]~E(x21411,x21412)+E(f712(x21413,x21414,x21411,x21415,x21416),f712(x21413,x21414,x21412,x21415,x21416)) % 209.33/209.65 [2142]~E(x21421,x21422)+E(f712(x21423,x21424,x21425,x21421,x21426),f712(x21423,x21424,x21425,x21422,x21426)) % 209.33/209.65 [2143]~E(x21431,x21432)+E(f712(x21433,x21434,x21435,x21436,x21431),f712(x21433,x21434,x21435,x21436,x21432)) % 209.33/209.65 [2144]~E(x21441,x21442)+E(f836(x21441,x21443,x21444,x21445,x21446,x21447),f836(x21442,x21443,x21444,x21445,x21446,x21447)) % 209.33/209.65 [2145]~E(x21451,x21452)+E(f836(x21453,x21451,x21454,x21455,x21456,x21457),f836(x21453,x21452,x21454,x21455,x21456,x21457)) % 209.33/209.65 [2146]~E(x21461,x21462)+E(f836(x21463,x21464,x21461,x21465,x21466,x21467),f836(x21463,x21464,x21462,x21465,x21466,x21467)) % 209.33/209.65 [2147]~E(x21471,x21472)+E(f836(x21473,x21474,x21475,x21471,x21476,x21477),f836(x21473,x21474,x21475,x21472,x21476,x21477)) % 209.33/209.65 [2148]~E(x21481,x21482)+E(f836(x21483,x21484,x21485,x21486,x21481,x21487),f836(x21483,x21484,x21485,x21486,x21482,x21487)) % 209.33/209.65 [2149]~E(x21491,x21492)+E(f836(x21493,x21494,x21495,x21496,x21497,x21491),f836(x21493,x21494,x21495,x21496,x21497,x21492)) % 209.33/209.65 [2150]~E(x21501,x21502)+E(f437(x21501),f437(x21502)) % 209.33/209.65 [2151]~E(x21511,x21512)+E(f817(x21511,x21513),f817(x21512,x21513)) % 209.33/209.65 [2152]~E(x21521,x21522)+E(f817(x21523,x21521),f817(x21523,x21522)) % 209.33/209.65 [2153]~E(x21531,x21532)+E(f581(x21531,x21533,x21534),f581(x21532,x21533,x21534)) % 209.33/209.65 [2154]~E(x21541,x21542)+E(f581(x21543,x21541,x21544),f581(x21543,x21542,x21544)) % 209.33/209.65 [2155]~E(x21551,x21552)+E(f581(x21553,x21554,x21551),f581(x21553,x21554,x21552)) % 209.33/209.65 [2156]~E(x21561,x21562)+E(f560(x21561,x21563,x21564),f560(x21562,x21563,x21564)) % 209.33/209.65 [2157]~E(x21571,x21572)+E(f560(x21573,x21571,x21574),f560(x21573,x21572,x21574)) % 209.33/209.65 [2158]~E(x21581,x21582)+E(f560(x21583,x21584,x21581),f560(x21583,x21584,x21582)) % 209.33/209.65 [2159]~E(x21591,x21592)+E(f504(x21591,x21593,x21594),f504(x21592,x21593,x21594)) % 209.33/209.65 [2160]~E(x21601,x21602)+E(f504(x21603,x21601,x21604),f504(x21603,x21602,x21604)) % 209.33/209.65 [2161]~E(x21611,x21612)+E(f504(x21613,x21614,x21611),f504(x21613,x21614,x21612)) % 209.33/209.65 [2162]~E(x21621,x21622)+E(f666(x21621,x21623,x21624,x21625),f666(x21622,x21623,x21624,x21625)) % 209.33/209.65 [2163]~E(x21631,x21632)+E(f666(x21633,x21631,x21634,x21635),f666(x21633,x21632,x21634,x21635)) % 209.33/209.65 [2164]~E(x21641,x21642)+E(f666(x21643,x21644,x21641,x21645),f666(x21643,x21644,x21642,x21645)) % 209.33/209.65 [2165]~E(x21651,x21652)+E(f666(x21653,x21654,x21655,x21651),f666(x21653,x21654,x21655,x21652)) % 209.33/209.65 [2166]~E(x21661,x21662)+E(f686(x21661,x21663,x21664,x21665,x21666),f686(x21662,x21663,x21664,x21665,x21666)) % 209.33/209.65 [2167]~E(x21671,x21672)+E(f686(x21673,x21671,x21674,x21675,x21676),f686(x21673,x21672,x21674,x21675,x21676)) % 209.33/209.65 [2168]~E(x21681,x21682)+E(f686(x21683,x21684,x21681,x21685,x21686),f686(x21683,x21684,x21682,x21685,x21686)) % 209.33/209.65 [2169]~E(x21691,x21692)+E(f686(x21693,x21694,x21695,x21691,x21696),f686(x21693,x21694,x21695,x21692,x21696)) % 209.33/209.65 [2170]~E(x21701,x21702)+E(f686(x21703,x21704,x21705,x21706,x21701),f686(x21703,x21704,x21705,x21706,x21702)) % 209.33/209.65 [2171]~E(x21711,x21712)+E(f627(x21711,x21713,x21714,x21715,x21716),f627(x21712,x21713,x21714,x21715,x21716)) % 209.33/209.65 [2172]~E(x21721,x21722)+E(f627(x21723,x21721,x21724,x21725,x21726),f627(x21723,x21722,x21724,x21725,x21726)) % 209.33/209.65 [2173]~E(x21731,x21732)+E(f627(x21733,x21734,x21731,x21735,x21736),f627(x21733,x21734,x21732,x21735,x21736)) % 209.33/209.65 [2174]~E(x21741,x21742)+E(f627(x21743,x21744,x21745,x21741,x21746),f627(x21743,x21744,x21745,x21742,x21746)) % 209.33/209.65 [2175]~E(x21751,x21752)+E(f627(x21753,x21754,x21755,x21756,x21751),f627(x21753,x21754,x21755,x21756,x21752)) % 209.33/209.65 [2176]~E(x21761,x21762)+E(f739(x21761,x21763),f739(x21762,x21763)) % 209.33/209.65 [2177]~E(x21771,x21772)+E(f739(x21773,x21771),f739(x21773,x21772)) % 209.33/209.65 [2178]~E(x21781,x21782)+E(f304(x21781,x21783,x21784),f304(x21782,x21783,x21784)) % 209.33/209.65 [2179]~E(x21791,x21792)+E(f304(x21793,x21791,x21794),f304(x21793,x21792,x21794)) % 209.33/209.65 [2180]~E(x21801,x21802)+E(f304(x21803,x21804,x21801),f304(x21803,x21804,x21802)) % 209.33/209.65 [2181]~E(x21811,x21812)+E(f134(x21811,x21813,x21814,x21815,x21816),f134(x21812,x21813,x21814,x21815,x21816)) % 209.33/209.65 [2182]~E(x21821,x21822)+E(f134(x21823,x21821,x21824,x21825,x21826),f134(x21823,x21822,x21824,x21825,x21826)) % 209.33/209.65 [2183]~E(x21831,x21832)+E(f134(x21833,x21834,x21831,x21835,x21836),f134(x21833,x21834,x21832,x21835,x21836)) % 209.33/209.65 [2184]~E(x21841,x21842)+E(f134(x21843,x21844,x21845,x21841,x21846),f134(x21843,x21844,x21845,x21842,x21846)) % 209.33/209.65 [2185]~E(x21851,x21852)+E(f134(x21853,x21854,x21855,x21856,x21851),f134(x21853,x21854,x21855,x21856,x21852)) % 209.33/209.65 [2186]~E(x21861,x21862)+E(f723(x21861,x21863,x21864,x21865,x21866),f723(x21862,x21863,x21864,x21865,x21866)) % 209.33/209.65 [2187]~E(x21871,x21872)+E(f723(x21873,x21871,x21874,x21875,x21876),f723(x21873,x21872,x21874,x21875,x21876)) % 209.33/209.65 [2188]~E(x21881,x21882)+E(f723(x21883,x21884,x21881,x21885,x21886),f723(x21883,x21884,x21882,x21885,x21886)) % 209.33/209.65 [2189]~E(x21891,x21892)+E(f723(x21893,x21894,x21895,x21891,x21896),f723(x21893,x21894,x21895,x21892,x21896)) % 209.33/209.65 [2190]~E(x21901,x21902)+E(f723(x21903,x21904,x21905,x21906,x21901),f723(x21903,x21904,x21905,x21906,x21902)) % 209.33/209.65 [2191]~E(x21911,x21912)+E(f601(x21911,x21913,x21914),f601(x21912,x21913,x21914)) % 209.33/209.65 [2192]~E(x21921,x21922)+E(f601(x21923,x21921,x21924),f601(x21923,x21922,x21924)) % 209.33/209.65 [2193]~E(x21931,x21932)+E(f601(x21933,x21934,x21931),f601(x21933,x21934,x21932)) % 209.33/209.65 [2194]~E(x21941,x21942)+E(f466(x21941,x21943),f466(x21942,x21943)) % 209.33/209.65 [2195]~E(x21951,x21952)+E(f466(x21953,x21951),f466(x21953,x21952)) % 209.33/209.65 [2196]~E(x21961,x21962)+E(f457(x21961,x21963,x21964),f457(x21962,x21963,x21964)) % 209.33/209.65 [2197]~E(x21971,x21972)+E(f457(x21973,x21971,x21974),f457(x21973,x21972,x21974)) % 209.33/209.65 [2198]~E(x21981,x21982)+E(f457(x21983,x21984,x21981),f457(x21983,x21984,x21982)) % 209.33/209.65 [2199]~E(x21991,x21992)+E(f879(x21991,x21993,x21994,x21995,x21996),f879(x21992,x21993,x21994,x21995,x21996)) % 209.33/209.65 [2200]~E(x22001,x22002)+E(f879(x22003,x22001,x22004,x22005,x22006),f879(x22003,x22002,x22004,x22005,x22006)) % 209.33/209.65 [2201]~E(x22011,x22012)+E(f879(x22013,x22014,x22011,x22015,x22016),f879(x22013,x22014,x22012,x22015,x22016)) % 209.33/209.65 [2202]~E(x22021,x22022)+E(f879(x22023,x22024,x22025,x22021,x22026),f879(x22023,x22024,x22025,x22022,x22026)) % 209.33/209.65 [2203]~E(x22031,x22032)+E(f879(x22033,x22034,x22035,x22036,x22031),f879(x22033,x22034,x22035,x22036,x22032)) % 209.33/209.65 [2204]~E(x22041,x22042)+E(f535(x22041,x22043,x22044,x22045),f535(x22042,x22043,x22044,x22045)) % 209.33/209.65 [2205]~E(x22051,x22052)+E(f535(x22053,x22051,x22054,x22055),f535(x22053,x22052,x22054,x22055)) % 209.33/209.65 [2206]~E(x22061,x22062)+E(f535(x22063,x22064,x22061,x22065),f535(x22063,x22064,x22062,x22065)) % 209.33/209.65 [2207]~E(x22071,x22072)+E(f535(x22073,x22074,x22075,x22071),f535(x22073,x22074,x22075,x22072)) % 209.33/209.65 [2208]~E(x22081,x22082)+E(f727(x22081,x22083,x22084),f727(x22082,x22083,x22084)) % 209.33/209.65 [2209]~E(x22091,x22092)+E(f727(x22093,x22091,x22094),f727(x22093,x22092,x22094)) % 209.33/209.65 [2210]~E(x22101,x22102)+E(f727(x22103,x22104,x22101),f727(x22103,x22104,x22102)) % 209.33/209.65 [2211]~E(x22111,x22112)+E(f747(x22111,x22113,x22114,x22115),f747(x22112,x22113,x22114,x22115)) % 209.33/209.65 [2212]~E(x22121,x22122)+E(f747(x22123,x22121,x22124,x22125),f747(x22123,x22122,x22124,x22125)) % 209.33/209.65 [2213]~E(x22131,x22132)+E(f747(x22133,x22134,x22131,x22135),f747(x22133,x22134,x22132,x22135)) % 209.33/209.65 [2214]~E(x22141,x22142)+E(f747(x22143,x22144,x22145,x22141),f747(x22143,x22144,x22145,x22142)) % 209.33/209.65 [2215]~E(x22151,x22152)+E(f410(x22151,x22153,x22154,x22155),f410(x22152,x22153,x22154,x22155)) % 209.33/209.65 [2216]~E(x22161,x22162)+E(f410(x22163,x22161,x22164,x22165),f410(x22163,x22162,x22164,x22165)) % 209.33/209.65 [2217]~E(x22171,x22172)+E(f410(x22173,x22174,x22171,x22175),f410(x22173,x22174,x22172,x22175)) % 209.33/209.65 [2218]~E(x22181,x22182)+E(f410(x22183,x22184,x22185,x22181),f410(x22183,x22184,x22185,x22182)) % 209.33/209.65 [2219]~E(x22191,x22192)+E(f540(x22191,x22193,x22194,x22195,x22196,x22197,x22198,x22199),f540(x22192,x22193,x22194,x22195,x22196,x22197,x22198,x22199)) % 209.33/209.65 [2220]~E(x22201,x22202)+E(f540(x22203,x22201,x22204,x22205,x22206,x22207,x22208,x22209),f540(x22203,x22202,x22204,x22205,x22206,x22207,x22208,x22209)) % 209.33/209.65 [2221]~E(x22211,x22212)+E(f540(x22213,x22214,x22211,x22215,x22216,x22217,x22218,x22219),f540(x22213,x22214,x22212,x22215,x22216,x22217,x22218,x22219)) % 209.33/209.65 [2222]~E(x22221,x22222)+E(f540(x22223,x22224,x22225,x22221,x22226,x22227,x22228,x22229),f540(x22223,x22224,x22225,x22222,x22226,x22227,x22228,x22229)) % 209.33/209.65 [2223]~E(x22231,x22232)+E(f540(x22233,x22234,x22235,x22236,x22231,x22237,x22238,x22239),f540(x22233,x22234,x22235,x22236,x22232,x22237,x22238,x22239)) % 209.33/209.65 [2224]~E(x22241,x22242)+E(f540(x22243,x22244,x22245,x22246,x22247,x22241,x22248,x22249),f540(x22243,x22244,x22245,x22246,x22247,x22242,x22248,x22249)) % 209.33/209.65 [2225]~E(x22251,x22252)+E(f540(x22253,x22254,x22255,x22256,x22257,x22258,x22251,x22259),f540(x22253,x22254,x22255,x22256,x22257,x22258,x22252,x22259)) % 209.33/209.65 [2226]~E(x22261,x22262)+E(f540(x22263,x22264,x22265,x22266,x22267,x22268,x22269,x22261),f540(x22263,x22264,x22265,x22266,x22267,x22268,x22269,x22262)) % 209.33/209.65 [2227]~E(x22271,x22272)+E(f282(x22271,x22273,x22274),f282(x22272,x22273,x22274)) % 209.33/209.65 [2228]~E(x22281,x22282)+E(f282(x22283,x22281,x22284),f282(x22283,x22282,x22284)) % 209.33/209.65 [2229]~E(x22291,x22292)+E(f282(x22293,x22294,x22291),f282(x22293,x22294,x22292)) % 209.33/209.65 [2230]~E(x22301,x22302)+E(f786(x22301,x22303,x22304),f786(x22302,x22303,x22304)) % 209.33/209.65 [2231]~E(x22311,x22312)+E(f786(x22313,x22311,x22314),f786(x22313,x22312,x22314)) % 209.33/209.65 [2232]~E(x22321,x22322)+E(f786(x22323,x22324,x22321),f786(x22323,x22324,x22322)) % 209.33/209.65 [2233]~E(x22331,x22332)+E(f654(x22331,x22333,x22334,x22335,x22336),f654(x22332,x22333,x22334,x22335,x22336)) % 209.33/209.65 [2234]~E(x22341,x22342)+E(f654(x22343,x22341,x22344,x22345,x22346),f654(x22343,x22342,x22344,x22345,x22346)) % 209.33/209.65 [2235]~E(x22351,x22352)+E(f654(x22353,x22354,x22351,x22355,x22356),f654(x22353,x22354,x22352,x22355,x22356)) % 209.33/209.65 [2236]~E(x22361,x22362)+E(f654(x22363,x22364,x22365,x22361,x22366),f654(x22363,x22364,x22365,x22362,x22366)) % 209.33/209.65 [2237]~E(x22371,x22372)+E(f654(x22373,x22374,x22375,x22376,x22371),f654(x22373,x22374,x22375,x22376,x22372)) % 209.33/209.65 [2238]~E(x22381,x22382)+E(f824(x22381,x22383,x22384,x22385,x22386),f824(x22382,x22383,x22384,x22385,x22386)) % 209.33/209.65 [2239]~E(x22391,x22392)+E(f824(x22393,x22391,x22394,x22395,x22396),f824(x22393,x22392,x22394,x22395,x22396)) % 209.33/209.65 [2240]~E(x22401,x22402)+E(f824(x22403,x22404,x22401,x22405,x22406),f824(x22403,x22404,x22402,x22405,x22406)) % 209.33/209.65 [2241]~E(x22411,x22412)+E(f824(x22413,x22414,x22415,x22411,x22416),f824(x22413,x22414,x22415,x22412,x22416)) % 209.33/209.65 [2242]~E(x22421,x22422)+E(f824(x22423,x22424,x22425,x22426,x22421),f824(x22423,x22424,x22425,x22426,x22422)) % 209.33/209.65 [2243]~E(x22431,x22432)+E(f668(x22431,x22433,x22434,x22435,x22436,x22437),f668(x22432,x22433,x22434,x22435,x22436,x22437)) % 209.33/209.65 [2244]~E(x22441,x22442)+E(f668(x22443,x22441,x22444,x22445,x22446,x22447),f668(x22443,x22442,x22444,x22445,x22446,x22447)) % 209.33/209.65 [2245]~E(x22451,x22452)+E(f668(x22453,x22454,x22451,x22455,x22456,x22457),f668(x22453,x22454,x22452,x22455,x22456,x22457)) % 209.33/209.65 [2246]~E(x22461,x22462)+E(f668(x22463,x22464,x22465,x22461,x22466,x22467),f668(x22463,x22464,x22465,x22462,x22466,x22467)) % 209.33/209.65 [2247]~E(x22471,x22472)+E(f668(x22473,x22474,x22475,x22476,x22471,x22477),f668(x22473,x22474,x22475,x22476,x22472,x22477)) % 209.33/209.65 [2248]~E(x22481,x22482)+E(f668(x22483,x22484,x22485,x22486,x22487,x22481),f668(x22483,x22484,x22485,x22486,x22487,x22482)) % 209.33/209.65 [2249]~E(x22491,x22492)+E(f425(x22491),f425(x22492)) % 209.33/209.65 [2250]~E(x22501,x22502)+E(f702(x22501,x22503,x22504,x22505),f702(x22502,x22503,x22504,x22505)) % 209.33/209.65 [2251]~E(x22511,x22512)+E(f702(x22513,x22511,x22514,x22515),f702(x22513,x22512,x22514,x22515)) % 209.33/209.65 [2252]~E(x22521,x22522)+E(f702(x22523,x22524,x22521,x22525),f702(x22523,x22524,x22522,x22525)) % 209.33/209.65 [2253]~E(x22531,x22532)+E(f702(x22533,x22534,x22535,x22531),f702(x22533,x22534,x22535,x22532)) % 209.33/209.65 [2254]~E(x22541,x22542)+E(f212(x22541,x22543,x22544),f212(x22542,x22543,x22544)) % 209.33/209.65 [2255]~E(x22551,x22552)+E(f212(x22553,x22551,x22554),f212(x22553,x22552,x22554)) % 209.33/209.65 [2256]~E(x22561,x22562)+E(f212(x22563,x22564,x22561),f212(x22563,x22564,x22562)) % 209.33/209.65 [2257]~E(x22571,x22572)+E(f776(x22571,x22573),f776(x22572,x22573)) % 209.33/209.65 [2258]~E(x22581,x22582)+E(f776(x22583,x22581),f776(x22583,x22582)) % 209.33/209.65 [2259]~E(x22591,x22592)+E(f600(x22591,x22593,x22594),f600(x22592,x22593,x22594)) % 209.33/209.65 [2260]~E(x22601,x22602)+E(f600(x22603,x22601,x22604),f600(x22603,x22602,x22604)) % 209.33/209.65 [2261]~E(x22611,x22612)+E(f600(x22613,x22614,x22611),f600(x22613,x22614,x22612)) % 209.33/209.65 [2262]~E(x22621,x22622)+E(f591(x22621,x22623),f591(x22622,x22623)) % 209.33/209.65 [2263]~E(x22631,x22632)+E(f591(x22633,x22631),f591(x22633,x22632)) % 209.33/209.65 [2264]~E(x22641,x22642)+E(f414(x22641,x22643,x22644,x22645,x22646,x22647),f414(x22642,x22643,x22644,x22645,x22646,x22647)) % 209.33/209.65 [2265]~E(x22651,x22652)+E(f414(x22653,x22651,x22654,x22655,x22656,x22657),f414(x22653,x22652,x22654,x22655,x22656,x22657)) % 209.33/209.65 [2266]~E(x22661,x22662)+E(f414(x22663,x22664,x22661,x22665,x22666,x22667),f414(x22663,x22664,x22662,x22665,x22666,x22667)) % 209.33/209.65 [2267]~E(x22671,x22672)+E(f414(x22673,x22674,x22675,x22671,x22676,x22677),f414(x22673,x22674,x22675,x22672,x22676,x22677)) % 209.33/209.65 [2268]~E(x22681,x22682)+E(f414(x22683,x22684,x22685,x22686,x22681,x22687),f414(x22683,x22684,x22685,x22686,x22682,x22687)) % 209.33/209.65 [2269]~E(x22691,x22692)+E(f414(x22693,x22694,x22695,x22696,x22697,x22691),f414(x22693,x22694,x22695,x22696,x22697,x22692)) % 209.33/209.65 [2270]~E(x22701,x22702)+E(f714(x22701,x22703,x22704),f714(x22702,x22703,x22704)) % 209.33/209.65 [2271]~E(x22711,x22712)+E(f714(x22713,x22711,x22714),f714(x22713,x22712,x22714)) % 209.33/209.65 [2272]~E(x22721,x22722)+E(f714(x22723,x22724,x22721),f714(x22723,x22724,x22722)) % 209.33/209.65 [2273]~E(x22731,x22732)+E(f490(x22731,x22733,x22734),f490(x22732,x22733,x22734)) % 209.33/209.65 [2274]~E(x22741,x22742)+E(f490(x22743,x22741,x22744),f490(x22743,x22742,x22744)) % 209.33/209.65 [2275]~E(x22751,x22752)+E(f490(x22753,x22754,x22751),f490(x22753,x22754,x22752)) % 209.33/209.65 [2276]~E(x22761,x22762)+E(f911(x22761,x22763,x22764,x22765,x22766,x22767,x22768),f911(x22762,x22763,x22764,x22765,x22766,x22767,x22768)) % 209.33/209.65 [2277]~E(x22771,x22772)+E(f911(x22773,x22771,x22774,x22775,x22776,x22777,x22778),f911(x22773,x22772,x22774,x22775,x22776,x22777,x22778)) % 209.33/209.65 [2278]~E(x22781,x22782)+E(f911(x22783,x22784,x22781,x22785,x22786,x22787,x22788),f911(x22783,x22784,x22782,x22785,x22786,x22787,x22788)) % 209.33/209.65 [2279]~E(x22791,x22792)+E(f911(x22793,x22794,x22795,x22791,x22796,x22797,x22798),f911(x22793,x22794,x22795,x22792,x22796,x22797,x22798)) % 209.33/209.65 [2280]~E(x22801,x22802)+E(f911(x22803,x22804,x22805,x22806,x22801,x22807,x22808),f911(x22803,x22804,x22805,x22806,x22802,x22807,x22808)) % 209.33/209.65 [2281]~E(x22811,x22812)+E(f911(x22813,x22814,x22815,x22816,x22817,x22811,x22818),f911(x22813,x22814,x22815,x22816,x22817,x22812,x22818)) % 209.33/209.65 [2282]~E(x22821,x22822)+E(f911(x22823,x22824,x22825,x22826,x22827,x22828,x22821),f911(x22823,x22824,x22825,x22826,x22827,x22828,x22822)) % 209.33/209.65 [2283]~E(x22831,x22832)+E(f651(x22831,x22833,x22834,x22835,x22836),f651(x22832,x22833,x22834,x22835,x22836)) % 209.33/209.65 [2284]~E(x22841,x22842)+E(f651(x22843,x22841,x22844,x22845,x22846),f651(x22843,x22842,x22844,x22845,x22846)) % 209.33/209.65 [2285]~E(x22851,x22852)+E(f651(x22853,x22854,x22851,x22855,x22856),f651(x22853,x22854,x22852,x22855,x22856)) % 209.33/209.65 [2286]~E(x22861,x22862)+E(f651(x22863,x22864,x22865,x22861,x22866),f651(x22863,x22864,x22865,x22862,x22866)) % 209.33/209.65 [2287]~E(x22871,x22872)+E(f651(x22873,x22874,x22875,x22876,x22871),f651(x22873,x22874,x22875,x22876,x22872)) % 209.33/209.65 [2288]~E(x22881,x22882)+E(f101(x22881,x22883,x22884,x22885),f101(x22882,x22883,x22884,x22885)) % 209.33/209.65 [2289]~E(x22891,x22892)+E(f101(x22893,x22891,x22894,x22895),f101(x22893,x22892,x22894,x22895)) % 209.33/209.65 [2290]~E(x22901,x22902)+E(f101(x22903,x22904,x22901,x22905),f101(x22903,x22904,x22902,x22905)) % 209.33/209.65 [2291]~E(x22911,x22912)+E(f101(x22913,x22914,x22915,x22911),f101(x22913,x22914,x22915,x22912)) % 209.33/209.65 [2292]~E(x22921,x22922)+E(f784(x22921,x22923,x22924),f784(x22922,x22923,x22924)) % 209.33/209.65 [2293]~E(x22931,x22932)+E(f784(x22933,x22931,x22934),f784(x22933,x22932,x22934)) % 209.33/209.65 [2294]~E(x22941,x22942)+E(f784(x22943,x22944,x22941),f784(x22943,x22944,x22942)) % 209.33/209.65 [2295]~E(x22951,x22952)+E(f364(x22951,x22953,x22954),f364(x22952,x22953,x22954)) % 209.33/209.65 [2296]~E(x22961,x22962)+E(f364(x22963,x22961,x22964),f364(x22963,x22962,x22964)) % 209.33/209.65 [2297]~E(x22971,x22972)+E(f364(x22973,x22974,x22971),f364(x22973,x22974,x22972)) % 209.33/209.65 [2298]~E(x22981,x22982)+E(f849(x22981,x22983,x22984,x22985),f849(x22982,x22983,x22984,x22985)) % 209.33/209.65 [2299]~E(x22991,x22992)+E(f849(x22993,x22991,x22994,x22995),f849(x22993,x22992,x22994,x22995)) % 209.33/209.65 [2300]~E(x23001,x23002)+E(f849(x23003,x23004,x23001,x23005),f849(x23003,x23004,x23002,x23005)) % 209.33/209.65 [2301]~E(x23011,x23012)+E(f849(x23013,x23014,x23015,x23011),f849(x23013,x23014,x23015,x23012)) % 209.33/209.65 [2302]~E(x23021,x23022)+E(f339(x23021,x23023,x23024,x23025),f339(x23022,x23023,x23024,x23025)) % 209.33/209.65 [2303]~E(x23031,x23032)+E(f339(x23033,x23031,x23034,x23035),f339(x23033,x23032,x23034,x23035)) % 209.33/209.65 [2304]~E(x23041,x23042)+E(f339(x23043,x23044,x23041,x23045),f339(x23043,x23044,x23042,x23045)) % 209.33/209.65 [2305]~E(x23051,x23052)+E(f339(x23053,x23054,x23055,x23051),f339(x23053,x23054,x23055,x23052)) % 209.33/209.65 [2306]~E(x23061,x23062)+E(f763(x23061,x23063,x23064,x23065),f763(x23062,x23063,x23064,x23065)) % 209.33/209.65 [2307]~E(x23071,x23072)+E(f763(x23073,x23071,x23074,x23075),f763(x23073,x23072,x23074,x23075)) % 209.33/209.65 [2308]~E(x23081,x23082)+E(f763(x23083,x23084,x23081,x23085),f763(x23083,x23084,x23082,x23085)) % 209.33/209.65 [2309]~E(x23091,x23092)+E(f763(x23093,x23094,x23095,x23091),f763(x23093,x23094,x23095,x23092)) % 209.33/209.65 [2310]~E(x23101,x23102)+E(f895(x23101,x23103,x23104,x23105,x23106,x23107),f895(x23102,x23103,x23104,x23105,x23106,x23107)) % 209.33/209.65 [2311]~E(x23111,x23112)+E(f895(x23113,x23111,x23114,x23115,x23116,x23117),f895(x23113,x23112,x23114,x23115,x23116,x23117)) % 209.33/209.65 [2312]~E(x23121,x23122)+E(f895(x23123,x23124,x23121,x23125,x23126,x23127),f895(x23123,x23124,x23122,x23125,x23126,x23127)) % 209.33/209.65 [2313]~E(x23131,x23132)+E(f895(x23133,x23134,x23135,x23131,x23136,x23137),f895(x23133,x23134,x23135,x23132,x23136,x23137)) % 209.33/209.65 [2314]~E(x23141,x23142)+E(f895(x23143,x23144,x23145,x23146,x23141,x23147),f895(x23143,x23144,x23145,x23146,x23142,x23147)) % 209.33/209.65 [2315]~E(x23151,x23152)+E(f895(x23153,x23154,x23155,x23156,x23157,x23151),f895(x23153,x23154,x23155,x23156,x23157,x23152)) % 209.33/209.65 [2316]~E(x23161,x23162)+E(f722(x23161,x23163,x23164,x23165,x23166),f722(x23162,x23163,x23164,x23165,x23166)) % 209.33/209.65 [2317]~E(x23171,x23172)+E(f722(x23173,x23171,x23174,x23175,x23176),f722(x23173,x23172,x23174,x23175,x23176)) % 209.33/209.65 [2318]~E(x23181,x23182)+E(f722(x23183,x23184,x23181,x23185,x23186),f722(x23183,x23184,x23182,x23185,x23186)) % 209.33/209.65 [2319]~E(x23191,x23192)+E(f722(x23193,x23194,x23195,x23191,x23196),f722(x23193,x23194,x23195,x23192,x23196)) % 209.33/209.65 [2320]~E(x23201,x23202)+E(f722(x23203,x23204,x23205,x23206,x23201),f722(x23203,x23204,x23205,x23206,x23202)) % 209.33/209.65 [2321]~E(x23211,x23212)+E(f207(x23211,x23213,x23214,x23215),f207(x23212,x23213,x23214,x23215)) % 209.33/209.65 [2322]~E(x23221,x23222)+E(f207(x23223,x23221,x23224,x23225),f207(x23223,x23222,x23224,x23225)) % 209.33/209.65 [2323]~E(x23231,x23232)+E(f207(x23233,x23234,x23231,x23235),f207(x23233,x23234,x23232,x23235)) % 209.33/209.65 [2324]~E(x23241,x23242)+E(f207(x23243,x23244,x23245,x23241),f207(x23243,x23244,x23245,x23242)) % 209.33/209.65 [2325]~E(x23251,x23252)+E(f809(x23251,x23253,x23254,x23255),f809(x23252,x23253,x23254,x23255)) % 209.33/209.65 [2326]~E(x23261,x23262)+E(f809(x23263,x23261,x23264,x23265),f809(x23263,x23262,x23264,x23265)) % 209.33/209.65 [2327]~E(x23271,x23272)+E(f809(x23273,x23274,x23271,x23275),f809(x23273,x23274,x23272,x23275)) % 209.33/209.65 [2328]~E(x23281,x23282)+E(f809(x23283,x23284,x23285,x23281),f809(x23283,x23284,x23285,x23282)) % 209.33/209.65 [2329]~E(x23291,x23292)+E(f655(x23291,x23293,x23294,x23295,x23296),f655(x23292,x23293,x23294,x23295,x23296)) % 209.33/209.65 [2330]~E(x23301,x23302)+E(f655(x23303,x23301,x23304,x23305,x23306),f655(x23303,x23302,x23304,x23305,x23306)) % 209.33/209.65 [2331]~E(x23311,x23312)+E(f655(x23313,x23314,x23311,x23315,x23316),f655(x23313,x23314,x23312,x23315,x23316)) % 209.33/209.65 [2332]~E(x23321,x23322)+E(f655(x23323,x23324,x23325,x23321,x23326),f655(x23323,x23324,x23325,x23322,x23326)) % 209.33/209.65 [2333]~E(x23331,x23332)+E(f655(x23333,x23334,x23335,x23336,x23331),f655(x23333,x23334,x23335,x23336,x23332)) % 209.33/209.65 [2334]~E(x23341,x23342)+E(f238(x23341,x23343,x23344,x23345),f238(x23342,x23343,x23344,x23345)) % 209.33/209.65 [2335]~E(x23351,x23352)+E(f238(x23353,x23351,x23354,x23355),f238(x23353,x23352,x23354,x23355)) % 209.33/209.65 [2336]~E(x23361,x23362)+E(f238(x23363,x23364,x23361,x23365),f238(x23363,x23364,x23362,x23365)) % 209.33/209.65 [2337]~E(x23371,x23372)+E(f238(x23373,x23374,x23375,x23371),f238(x23373,x23374,x23375,x23372)) % 209.33/209.65 [2338]~E(x23381,x23382)+E(f21(x23381,x23383),f21(x23382,x23383)) % 209.33/209.65 [2339]~E(x23391,x23392)+E(f21(x23393,x23391),f21(x23393,x23392)) % 209.33/209.65 [2340]~E(x23401,x23402)+E(f551(x23401,x23403,x23404,x23405,x23406),f551(x23402,x23403,x23404,x23405,x23406)) % 209.33/209.65 [2341]~E(x23411,x23412)+E(f551(x23413,x23411,x23414,x23415,x23416),f551(x23413,x23412,x23414,x23415,x23416)) % 209.33/209.65 [2342]~E(x23421,x23422)+E(f551(x23423,x23424,x23421,x23425,x23426),f551(x23423,x23424,x23422,x23425,x23426)) % 209.33/209.65 [2343]~E(x23431,x23432)+E(f551(x23433,x23434,x23435,x23431,x23436),f551(x23433,x23434,x23435,x23432,x23436)) % 209.33/209.65 [2344]~E(x23441,x23442)+E(f551(x23443,x23444,x23445,x23446,x23441),f551(x23443,x23444,x23445,x23446,x23442)) % 209.33/209.65 [2345]~E(x23451,x23452)+E(f920(x23451,x23453,x23454,x23455,x23456,x23457,x23458),f920(x23452,x23453,x23454,x23455,x23456,x23457,x23458)) % 209.33/209.65 [2346]~E(x23461,x23462)+E(f920(x23463,x23461,x23464,x23465,x23466,x23467,x23468),f920(x23463,x23462,x23464,x23465,x23466,x23467,x23468)) % 209.33/209.65 [2347]~E(x23471,x23472)+E(f920(x23473,x23474,x23471,x23475,x23476,x23477,x23478),f920(x23473,x23474,x23472,x23475,x23476,x23477,x23478)) % 209.33/209.65 [2348]~E(x23481,x23482)+E(f920(x23483,x23484,x23485,x23481,x23486,x23487,x23488),f920(x23483,x23484,x23485,x23482,x23486,x23487,x23488)) % 209.33/209.65 [2349]~E(x23491,x23492)+E(f920(x23493,x23494,x23495,x23496,x23491,x23497,x23498),f920(x23493,x23494,x23495,x23496,x23492,x23497,x23498)) % 209.33/209.65 [2350]~E(x23501,x23502)+E(f920(x23503,x23504,x23505,x23506,x23507,x23501,x23508),f920(x23503,x23504,x23505,x23506,x23507,x23502,x23508)) % 209.33/209.65 [2351]~E(x23511,x23512)+E(f920(x23513,x23514,x23515,x23516,x23517,x23518,x23511),f920(x23513,x23514,x23515,x23516,x23517,x23518,x23512)) % 209.33/209.65 [2352]~E(x23521,x23522)+E(f254(x23521,x23523,x23524,x23525,x23526,x23527),f254(x23522,x23523,x23524,x23525,x23526,x23527)) % 209.33/209.65 [2353]~E(x23531,x23532)+E(f254(x23533,x23531,x23534,x23535,x23536,x23537),f254(x23533,x23532,x23534,x23535,x23536,x23537)) % 209.33/209.65 [2354]~E(x23541,x23542)+E(f254(x23543,x23544,x23541,x23545,x23546,x23547),f254(x23543,x23544,x23542,x23545,x23546,x23547)) % 209.33/209.65 [2355]~E(x23551,x23552)+E(f254(x23553,x23554,x23555,x23551,x23556,x23557),f254(x23553,x23554,x23555,x23552,x23556,x23557)) % 209.33/209.65 [2356]~E(x23561,x23562)+E(f254(x23563,x23564,x23565,x23566,x23561,x23567),f254(x23563,x23564,x23565,x23566,x23562,x23567)) % 209.33/209.65 [2357]~E(x23571,x23572)+E(f254(x23573,x23574,x23575,x23576,x23577,x23571),f254(x23573,x23574,x23575,x23576,x23577,x23572)) % 209.33/209.65 [2358]~E(x23581,x23582)+E(f635(x23581,x23583,x23584,x23585),f635(x23582,x23583,x23584,x23585)) % 209.33/209.65 [2359]~E(x23591,x23592)+E(f635(x23593,x23591,x23594,x23595),f635(x23593,x23592,x23594,x23595)) % 209.33/209.65 [2360]~E(x23601,x23602)+E(f635(x23603,x23604,x23601,x23605),f635(x23603,x23604,x23602,x23605)) % 209.33/209.65 [2361]~E(x23611,x23612)+E(f635(x23613,x23614,x23615,x23611),f635(x23613,x23614,x23615,x23612)) % 209.33/209.65 [2362]~E(x23621,x23622)+E(f438(x23621),f438(x23622)) % 209.33/209.65 [2363]~E(x23631,x23632)+E(f570(x23631,x23633,x23634),f570(x23632,x23633,x23634)) % 209.33/209.65 [2364]~E(x23641,x23642)+E(f570(x23643,x23641,x23644),f570(x23643,x23642,x23644)) % 209.33/209.65 [2365]~E(x23651,x23652)+E(f570(x23653,x23654,x23651),f570(x23653,x23654,x23652)) % 209.33/209.65 [2366]~E(x23661,x23662)+E(f756(x23661,x23663,x23664,x23665,x23666,x23667,x23668,x23669),f756(x23662,x23663,x23664,x23665,x23666,x23667,x23668,x23669)) % 209.33/209.65 [2367]~E(x23671,x23672)+E(f756(x23673,x23671,x23674,x23675,x23676,x23677,x23678,x23679),f756(x23673,x23672,x23674,x23675,x23676,x23677,x23678,x23679)) % 209.33/209.65 [2368]~E(x23681,x23682)+E(f756(x23683,x23684,x23681,x23685,x23686,x23687,x23688,x23689),f756(x23683,x23684,x23682,x23685,x23686,x23687,x23688,x23689)) % 209.33/209.65 [2369]~E(x23691,x23692)+E(f756(x23693,x23694,x23695,x23691,x23696,x23697,x23698,x23699),f756(x23693,x23694,x23695,x23692,x23696,x23697,x23698,x23699)) % 209.33/209.65 [2370]~E(x23701,x23702)+E(f756(x23703,x23704,x23705,x23706,x23701,x23707,x23708,x23709),f756(x23703,x23704,x23705,x23706,x23702,x23707,x23708,x23709)) % 209.33/209.65 [2371]~E(x23711,x23712)+E(f756(x23713,x23714,x23715,x23716,x23717,x23711,x23718,x23719),f756(x23713,x23714,x23715,x23716,x23717,x23712,x23718,x23719)) % 209.33/209.65 [2372]~E(x23721,x23722)+E(f756(x23723,x23724,x23725,x23726,x23727,x23728,x23721,x23729),f756(x23723,x23724,x23725,x23726,x23727,x23728,x23722,x23729)) % 209.33/209.65 [2373]~E(x23731,x23732)+E(f756(x23733,x23734,x23735,x23736,x23737,x23738,x23739,x23731),f756(x23733,x23734,x23735,x23736,x23737,x23738,x23739,x23732)) % 209.33/209.65 [2374]~E(x23741,x23742)+E(f520(x23741,x23743,x23744,x23745),f520(x23742,x23743,x23744,x23745)) % 209.33/209.65 [2375]~E(x23751,x23752)+E(f520(x23753,x23751,x23754,x23755),f520(x23753,x23752,x23754,x23755)) % 209.33/209.65 [2376]~E(x23761,x23762)+E(f520(x23763,x23764,x23761,x23765),f520(x23763,x23764,x23762,x23765)) % 209.33/209.65 [2377]~E(x23771,x23772)+E(f520(x23773,x23774,x23775,x23771),f520(x23773,x23774,x23775,x23772)) % 209.33/209.65 [2378]~E(x23781,x23782)+E(f599(x23781,x23783,x23784,x23785,x23786,x23787),f599(x23782,x23783,x23784,x23785,x23786,x23787)) % 209.33/209.65 [2379]~E(x23791,x23792)+E(f599(x23793,x23791,x23794,x23795,x23796,x23797),f599(x23793,x23792,x23794,x23795,x23796,x23797)) % 209.33/209.65 [2380]~E(x23801,x23802)+E(f599(x23803,x23804,x23801,x23805,x23806,x23807),f599(x23803,x23804,x23802,x23805,x23806,x23807)) % 209.33/209.65 [2381]~E(x23811,x23812)+E(f599(x23813,x23814,x23815,x23811,x23816,x23817),f599(x23813,x23814,x23815,x23812,x23816,x23817)) % 209.33/209.65 [2382]~E(x23821,x23822)+E(f599(x23823,x23824,x23825,x23826,x23821,x23827),f599(x23823,x23824,x23825,x23826,x23822,x23827)) % 209.33/209.65 [2383]~E(x23831,x23832)+E(f599(x23833,x23834,x23835,x23836,x23837,x23831),f599(x23833,x23834,x23835,x23836,x23837,x23832)) % 209.33/209.65 [2384]~E(x23841,x23842)+E(f362(x23841,x23843,x23844,x23845),f362(x23842,x23843,x23844,x23845)) % 209.33/209.65 [2385]~E(x23851,x23852)+E(f362(x23853,x23851,x23854,x23855),f362(x23853,x23852,x23854,x23855)) % 209.33/209.65 [2386]~E(x23861,x23862)+E(f362(x23863,x23864,x23861,x23865),f362(x23863,x23864,x23862,x23865)) % 209.33/209.65 [2387]~E(x23871,x23872)+E(f362(x23873,x23874,x23875,x23871),f362(x23873,x23874,x23875,x23872)) % 209.33/209.65 [2388]~E(x23881,x23882)+E(f420(x23881,x23883),f420(x23882,x23883)) % 209.33/209.65 [2389]~E(x23891,x23892)+E(f420(x23893,x23891),f420(x23893,x23892)) % 209.33/209.65 [2390]~E(x23901,x23902)+E(f610(x23901,x23903,x23904,x23905),f610(x23902,x23903,x23904,x23905)) % 209.33/209.65 [2391]~E(x23911,x23912)+E(f610(x23913,x23911,x23914,x23915),f610(x23913,x23912,x23914,x23915)) % 209.33/209.65 [2392]~E(x23921,x23922)+E(f610(x23923,x23924,x23921,x23925),f610(x23923,x23924,x23922,x23925)) % 209.33/209.65 [2393]~E(x23931,x23932)+E(f610(x23933,x23934,x23935,x23931),f610(x23933,x23934,x23935,x23932)) % 209.33/209.65 [2394]~E(x23941,x23942)+E(f592(x23941,x23943,x23944,x23945),f592(x23942,x23943,x23944,x23945)) % 209.33/209.65 [2395]~E(x23951,x23952)+E(f592(x23953,x23951,x23954,x23955),f592(x23953,x23952,x23954,x23955)) % 209.33/209.65 [2396]~E(x23961,x23962)+E(f592(x23963,x23964,x23961,x23965),f592(x23963,x23964,x23962,x23965)) % 209.33/209.65 [2397]~E(x23971,x23972)+E(f592(x23973,x23974,x23975,x23971),f592(x23973,x23974,x23975,x23972)) % 209.33/209.65 [2398]~E(x23981,x23982)+E(f523(x23981,x23983,x23984,x23985),f523(x23982,x23983,x23984,x23985)) % 209.33/209.65 [2399]~E(x23991,x23992)+E(f523(x23993,x23991,x23994,x23995),f523(x23993,x23992,x23994,x23995)) % 209.33/209.65 [2400]~E(x24001,x24002)+E(f523(x24003,x24004,x24001,x24005),f523(x24003,x24004,x24002,x24005)) % 209.33/209.65 [2401]~E(x24011,x24012)+E(f523(x24013,x24014,x24015,x24011),f523(x24013,x24014,x24015,x24012)) % 209.33/209.65 [2402]~E(x24021,x24022)+E(f487(x24021,x24023,x24024,x24025,x24026,x24027),f487(x24022,x24023,x24024,x24025,x24026,x24027)) % 209.33/209.65 [2403]~E(x24031,x24032)+E(f487(x24033,x24031,x24034,x24035,x24036,x24037),f487(x24033,x24032,x24034,x24035,x24036,x24037)) % 209.33/209.65 [2404]~E(x24041,x24042)+E(f487(x24043,x24044,x24041,x24045,x24046,x24047),f487(x24043,x24044,x24042,x24045,x24046,x24047)) % 209.33/209.65 [2405]~E(x24051,x24052)+E(f487(x24053,x24054,x24055,x24051,x24056,x24057),f487(x24053,x24054,x24055,x24052,x24056,x24057)) % 209.33/209.65 [2406]~E(x24061,x24062)+E(f487(x24063,x24064,x24065,x24066,x24061,x24067),f487(x24063,x24064,x24065,x24066,x24062,x24067)) % 209.33/209.65 [2407]~E(x24071,x24072)+E(f487(x24073,x24074,x24075,x24076,x24077,x24071),f487(x24073,x24074,x24075,x24076,x24077,x24072)) % 209.33/209.65 [2408]~E(x24081,x24082)+E(f541(x24081,x24083,x24084,x24085,x24086),f541(x24082,x24083,x24084,x24085,x24086)) % 209.33/209.65 [2409]~E(x24091,x24092)+E(f541(x24093,x24091,x24094,x24095,x24096),f541(x24093,x24092,x24094,x24095,x24096)) % 209.33/209.65 [2410]~E(x24101,x24102)+E(f541(x24103,x24104,x24101,x24105,x24106),f541(x24103,x24104,x24102,x24105,x24106)) % 209.33/209.65 [2411]~E(x24111,x24112)+E(f541(x24113,x24114,x24115,x24111,x24116),f541(x24113,x24114,x24115,x24112,x24116)) % 209.33/209.65 [2412]~E(x24121,x24122)+E(f541(x24123,x24124,x24125,x24126,x24121),f541(x24123,x24124,x24125,x24126,x24122)) % 209.33/209.65 [2413]~E(x24131,x24132)+E(f694(x24131,x24133),f694(x24132,x24133)) % 209.33/209.65 [2414]~E(x24141,x24142)+E(f694(x24143,x24141),f694(x24143,x24142)) % 209.33/209.65 [2415]~E(x24151,x24152)+E(f605(x24151,x24153,x24154,x24155,x24156,x24157),f605(x24152,x24153,x24154,x24155,x24156,x24157)) % 209.33/209.65 [2416]~E(x24161,x24162)+E(f605(x24163,x24161,x24164,x24165,x24166,x24167),f605(x24163,x24162,x24164,x24165,x24166,x24167)) % 209.33/209.65 [2417]~E(x24171,x24172)+E(f605(x24173,x24174,x24171,x24175,x24176,x24177),f605(x24173,x24174,x24172,x24175,x24176,x24177)) % 209.33/209.65 [2418]~E(x24181,x24182)+E(f605(x24183,x24184,x24185,x24181,x24186,x24187),f605(x24183,x24184,x24185,x24182,x24186,x24187)) % 209.33/209.65 [2419]~E(x24191,x24192)+E(f605(x24193,x24194,x24195,x24196,x24191,x24197),f605(x24193,x24194,x24195,x24196,x24192,x24197)) % 209.33/209.65 [2420]~E(x24201,x24202)+E(f605(x24203,x24204,x24205,x24206,x24207,x24201),f605(x24203,x24204,x24205,x24206,x24207,x24202)) % 209.33/209.65 [2421]~E(x24211,x24212)+E(f562(x24211,x24213,x24214),f562(x24212,x24213,x24214)) % 209.33/209.65 [2422]~E(x24221,x24222)+E(f562(x24223,x24221,x24224),f562(x24223,x24222,x24224)) % 209.33/209.65 [2423]~E(x24231,x24232)+E(f562(x24233,x24234,x24231),f562(x24233,x24234,x24232)) % 209.33/209.65 [2424]~E(x24241,x24242)+E(f49(x24241),f49(x24242)) % 209.33/209.65 [2425]~E(x24251,x24252)+E(f443(x24251),f443(x24252)) % 209.33/209.65 [2426]~E(x24261,x24262)+E(f379(x24261,x24263,x24264),f379(x24262,x24263,x24264)) % 209.33/209.65 [2427]~E(x24271,x24272)+E(f379(x24273,x24271,x24274),f379(x24273,x24272,x24274)) % 209.33/209.65 [2428]~E(x24281,x24282)+E(f379(x24283,x24284,x24281),f379(x24283,x24284,x24282)) % 209.33/209.65 [2429]~E(x24291,x24292)+E(f435(x24291),f435(x24292)) % 209.33/209.65 [2430]~E(x24301,x24302)+E(f656(x24301,x24303,x24304,x24305,x24306),f656(x24302,x24303,x24304,x24305,x24306)) % 209.33/209.65 [2431]~E(x24311,x24312)+E(f656(x24313,x24311,x24314,x24315,x24316),f656(x24313,x24312,x24314,x24315,x24316)) % 209.33/209.65 [2432]~E(x24321,x24322)+E(f656(x24323,x24324,x24321,x24325,x24326),f656(x24323,x24324,x24322,x24325,x24326)) % 209.33/209.65 [2433]~E(x24331,x24332)+E(f656(x24333,x24334,x24335,x24331,x24336),f656(x24333,x24334,x24335,x24332,x24336)) % 209.33/209.65 [2434]~E(x24341,x24342)+E(f656(x24343,x24344,x24345,x24346,x24341),f656(x24343,x24344,x24345,x24346,x24342)) % 209.33/209.65 [2435]~E(x24351,x24352)+E(f699(x24351,x24353),f699(x24352,x24353)) % 209.33/209.65 [2436]~E(x24361,x24362)+E(f699(x24363,x24361),f699(x24363,x24362)) % 209.33/209.65 [2437]~E(x24371,x24372)+E(f804(x24371),f804(x24372)) % 209.33/209.65 [2438]~E(x24381,x24382)+E(f370(x24381,x24383),f370(x24382,x24383)) % 209.33/209.65 [2439]~E(x24391,x24392)+E(f370(x24393,x24391),f370(x24393,x24392)) % 209.33/209.65 [2440]~E(x24401,x24402)+E(f816(x24401,x24403),f816(x24402,x24403)) % 209.33/209.65 [2441]~E(x24411,x24412)+E(f816(x24413,x24411),f816(x24413,x24412)) % 209.33/209.65 [2442]~E(x24421,x24422)+E(f632(x24421,x24423,x24424,x24425),f632(x24422,x24423,x24424,x24425)) % 209.33/209.65 [2443]~E(x24431,x24432)+E(f632(x24433,x24431,x24434,x24435),f632(x24433,x24432,x24434,x24435)) % 209.33/209.65 [2444]~E(x24441,x24442)+E(f632(x24443,x24444,x24441,x24445),f632(x24443,x24444,x24442,x24445)) % 209.33/209.65 [2445]~E(x24451,x24452)+E(f632(x24453,x24454,x24455,x24451),f632(x24453,x24454,x24455,x24452)) % 209.33/209.65 [2446]~E(x24461,x24462)+E(f628(x24461,x24463,x24464,x24465,x24466),f628(x24462,x24463,x24464,x24465,x24466)) % 209.33/209.65 [2447]~E(x24471,x24472)+E(f628(x24473,x24471,x24474,x24475,x24476),f628(x24473,x24472,x24474,x24475,x24476)) % 209.33/209.65 [2448]~E(x24481,x24482)+E(f628(x24483,x24484,x24481,x24485,x24486),f628(x24483,x24484,x24482,x24485,x24486)) % 209.33/209.65 [2449]~E(x24491,x24492)+E(f628(x24493,x24494,x24495,x24491,x24496),f628(x24493,x24494,x24495,x24492,x24496)) % 209.33/209.65 [2450]~E(x24501,x24502)+E(f628(x24503,x24504,x24505,x24506,x24501),f628(x24503,x24504,x24505,x24506,x24502)) % 209.33/209.65 [2451]~E(x24511,x24512)+E(f360(x24511,x24513,x24514,x24515,x24516),f360(x24512,x24513,x24514,x24515,x24516)) % 209.33/209.65 [2452]~E(x24521,x24522)+E(f360(x24523,x24521,x24524,x24525,x24526),f360(x24523,x24522,x24524,x24525,x24526)) % 209.33/209.65 [2453]~E(x24531,x24532)+E(f360(x24533,x24534,x24531,x24535,x24536),f360(x24533,x24534,x24532,x24535,x24536)) % 209.33/209.65 [2454]~E(x24541,x24542)+E(f360(x24543,x24544,x24545,x24541,x24546),f360(x24543,x24544,x24545,x24542,x24546)) % 209.33/209.65 [2455]~E(x24551,x24552)+E(f360(x24553,x24554,x24555,x24556,x24551),f360(x24553,x24554,x24555,x24556,x24552)) % 209.33/209.65 [2456]~E(x24561,x24562)+E(f354(x24561,x24563),f354(x24562,x24563)) % 209.33/209.65 [2457]~E(x24571,x24572)+E(f354(x24573,x24571),f354(x24573,x24572)) % 209.33/209.65 [2458]~E(x24581,x24582)+E(f693(x24581,x24583,x24584,x24585),f693(x24582,x24583,x24584,x24585)) % 209.33/209.65 [2459]~E(x24591,x24592)+E(f693(x24593,x24591,x24594,x24595),f693(x24593,x24592,x24594,x24595)) % 209.33/209.65 [2460]~E(x24601,x24602)+E(f693(x24603,x24604,x24601,x24605),f693(x24603,x24604,x24602,x24605)) % 209.33/209.65 [2461]~E(x24611,x24612)+E(f693(x24613,x24614,x24615,x24611),f693(x24613,x24614,x24615,x24612)) % 209.33/209.65 [2462]~E(x24621,x24622)+E(f709(x24621,x24623,x24624,x24625),f709(x24622,x24623,x24624,x24625)) % 209.33/209.65 [2463]~E(x24631,x24632)+E(f709(x24633,x24631,x24634,x24635),f709(x24633,x24632,x24634,x24635)) % 209.33/209.65 [2464]~E(x24641,x24642)+E(f709(x24643,x24644,x24641,x24645),f709(x24643,x24644,x24642,x24645)) % 209.33/209.65 [2465]~E(x24651,x24652)+E(f709(x24653,x24654,x24655,x24651),f709(x24653,x24654,x24655,x24652)) % 209.33/209.65 [2466]~E(x24661,x24662)+E(f548(x24661,x24663,x24664,x24665,x24666),f548(x24662,x24663,x24664,x24665,x24666)) % 209.33/209.65 [2467]~E(x24671,x24672)+E(f548(x24673,x24671,x24674,x24675,x24676),f548(x24673,x24672,x24674,x24675,x24676)) % 209.33/209.65 [2468]~E(x24681,x24682)+E(f548(x24683,x24684,x24681,x24685,x24686),f548(x24683,x24684,x24682,x24685,x24686)) % 209.33/209.65 [2469]~E(x24691,x24692)+E(f548(x24693,x24694,x24695,x24691,x24696),f548(x24693,x24694,x24695,x24692,x24696)) % 209.33/209.65 [2470]~E(x24701,x24702)+E(f548(x24703,x24704,x24705,x24706,x24701),f548(x24703,x24704,x24705,x24706,x24702)) % 209.33/209.65 [2471]~E(x24711,x24712)+E(f631(x24711,x24713,x24714),f631(x24712,x24713,x24714)) % 209.33/209.65 [2472]~E(x24721,x24722)+E(f631(x24723,x24721,x24724),f631(x24723,x24722,x24724)) % 209.33/209.65 [2473]~E(x24731,x24732)+E(f631(x24733,x24734,x24731),f631(x24733,x24734,x24732)) % 209.33/209.65 [2474]~E(x24741,x24742)+E(f708(x24741,x24743,x24744,x24745),f708(x24742,x24743,x24744,x24745)) % 209.33/209.65 [2475]~E(x24751,x24752)+E(f708(x24753,x24751,x24754,x24755),f708(x24753,x24752,x24754,x24755)) % 209.33/209.65 [2476]~E(x24761,x24762)+E(f708(x24763,x24764,x24761,x24765),f708(x24763,x24764,x24762,x24765)) % 209.33/209.65 [2477]~E(x24771,x24772)+E(f708(x24773,x24774,x24775,x24771),f708(x24773,x24774,x24775,x24772)) % 209.33/209.65 [2478]~E(x24781,x24782)+E(f615(x24781,x24783,x24784),f615(x24782,x24783,x24784)) % 209.33/209.65 [2479]~E(x24791,x24792)+E(f615(x24793,x24791,x24794),f615(x24793,x24792,x24794)) % 209.33/209.65 [2480]~E(x24801,x24802)+E(f615(x24803,x24804,x24801),f615(x24803,x24804,x24802)) % 209.33/209.65 [2481]~E(x24811,x24812)+E(f860(x24811,x24813,x24814,x24815,x24816,x24817,x24818,x24819),f860(x24812,x24813,x24814,x24815,x24816,x24817,x24818,x24819)) % 209.33/209.65 [2482]~E(x24821,x24822)+E(f860(x24823,x24821,x24824,x24825,x24826,x24827,x24828,x24829),f860(x24823,x24822,x24824,x24825,x24826,x24827,x24828,x24829)) % 209.33/209.65 [2483]~E(x24831,x24832)+E(f860(x24833,x24834,x24831,x24835,x24836,x24837,x24838,x24839),f860(x24833,x24834,x24832,x24835,x24836,x24837,x24838,x24839)) % 209.33/209.65 [2484]~E(x24841,x24842)+E(f860(x24843,x24844,x24845,x24841,x24846,x24847,x24848,x24849),f860(x24843,x24844,x24845,x24842,x24846,x24847,x24848,x24849)) % 209.33/209.65 [2485]~E(x24851,x24852)+E(f860(x24853,x24854,x24855,x24856,x24851,x24857,x24858,x24859),f860(x24853,x24854,x24855,x24856,x24852,x24857,x24858,x24859)) % 209.33/209.65 [2486]~E(x24861,x24862)+E(f860(x24863,x24864,x24865,x24866,x24867,x24861,x24868,x24869),f860(x24863,x24864,x24865,x24866,x24867,x24862,x24868,x24869)) % 209.33/209.65 [2487]~E(x24871,x24872)+E(f860(x24873,x24874,x24875,x24876,x24877,x24878,x24871,x24879),f860(x24873,x24874,x24875,x24876,x24877,x24878,x24872,x24879)) % 209.33/209.65 [2488]~E(x24881,x24882)+E(f860(x24883,x24884,x24885,x24886,x24887,x24888,x24889,x24881),f860(x24883,x24884,x24885,x24886,x24887,x24888,x24889,x24882)) % 209.33/209.65 [2489]~E(x24891,x24892)+E(f380(x24891,x24893,x24894),f380(x24892,x24893,x24894)) % 209.33/209.65 [2490]~E(x24901,x24902)+E(f380(x24903,x24901,x24904),f380(x24903,x24902,x24904)) % 209.33/209.65 [2491]~E(x24911,x24912)+E(f380(x24913,x24914,x24911),f380(x24913,x24914,x24912)) % 209.33/209.65 [2492]~E(x24921,x24922)+E(f512(x24921,x24923,x24924,x24925),f512(x24922,x24923,x24924,x24925)) % 209.33/209.65 [2493]~E(x24931,x24932)+E(f512(x24933,x24931,x24934,x24935),f512(x24933,x24932,x24934,x24935)) % 209.33/209.65 [2494]~E(x24941,x24942)+E(f512(x24943,x24944,x24941,x24945),f512(x24943,x24944,x24942,x24945)) % 209.33/209.65 [2495]~E(x24951,x24952)+E(f512(x24953,x24954,x24955,x24951),f512(x24953,x24954,x24955,x24952)) % 209.33/209.65 [2496]~E(x24961,x24962)+E(f478(x24961,x24963,x24964,x24965,x24966),f478(x24962,x24963,x24964,x24965,x24966)) % 209.33/209.65 [2497]~E(x24971,x24972)+E(f478(x24973,x24971,x24974,x24975,x24976),f478(x24973,x24972,x24974,x24975,x24976)) % 209.33/209.65 [2498]~E(x24981,x24982)+E(f478(x24983,x24984,x24981,x24985,x24986),f478(x24983,x24984,x24982,x24985,x24986)) % 209.33/209.65 [2499]~E(x24991,x24992)+E(f478(x24993,x24994,x24995,x24991,x24996),f478(x24993,x24994,x24995,x24992,x24996)) % 209.33/209.65 [2500]~E(x25001,x25002)+E(f478(x25003,x25004,x25005,x25006,x25001),f478(x25003,x25004,x25005,x25006,x25002)) % 209.33/209.65 [2501]~E(x25011,x25012)+E(f618(x25011,x25013),f618(x25012,x25013)) % 209.33/209.65 [2502]~E(x25021,x25022)+E(f618(x25023,x25021),f618(x25023,x25022)) % 209.33/209.65 [2503]~E(x25031,x25032)+E(f444(x25031,x25033),f444(x25032,x25033)) % 209.33/209.65 [2504]~E(x25041,x25042)+E(f444(x25043,x25041),f444(x25043,x25042)) % 209.33/209.65 [2505]~E(x25051,x25052)+E(f598(x25051,x25053,x25054,x25055,x25056,x25057),f598(x25052,x25053,x25054,x25055,x25056,x25057)) % 209.33/209.65 [2506]~E(x25061,x25062)+E(f598(x25063,x25061,x25064,x25065,x25066,x25067),f598(x25063,x25062,x25064,x25065,x25066,x25067)) % 209.33/209.65 [2507]~E(x25071,x25072)+E(f598(x25073,x25074,x25071,x25075,x25076,x25077),f598(x25073,x25074,x25072,x25075,x25076,x25077)) % 209.33/209.65 [2508]~E(x25081,x25082)+E(f598(x25083,x25084,x25085,x25081,x25086,x25087),f598(x25083,x25084,x25085,x25082,x25086,x25087)) % 209.33/209.65 [2509]~E(x25091,x25092)+E(f598(x25093,x25094,x25095,x25096,x25091,x25097),f598(x25093,x25094,x25095,x25096,x25092,x25097)) % 209.33/209.65 [2510]~E(x25101,x25102)+E(f598(x25103,x25104,x25105,x25106,x25107,x25101),f598(x25103,x25104,x25105,x25106,x25107,x25102)) % 209.33/209.65 [2511]~E(x25111,x25112)+E(f409(x25111,x25113,x25114,x25115),f409(x25112,x25113,x25114,x25115)) % 209.33/209.65 [2512]~E(x25121,x25122)+E(f409(x25123,x25121,x25124,x25125),f409(x25123,x25122,x25124,x25125)) % 209.33/209.65 [2513]~E(x25131,x25132)+E(f409(x25133,x25134,x25131,x25135),f409(x25133,x25134,x25132,x25135)) % 209.33/209.65 [2514]~E(x25141,x25142)+E(f409(x25143,x25144,x25145,x25141),f409(x25143,x25144,x25145,x25142)) % 209.33/209.65 [2515]~E(x25151,x25152)+E(f821(x25151,x25153,x25154),f821(x25152,x25153,x25154)) % 209.33/209.65 [2516]~E(x25161,x25162)+E(f821(x25163,x25161,x25164),f821(x25163,x25162,x25164)) % 209.33/209.65 [2517]~E(x25171,x25172)+E(f821(x25173,x25174,x25171),f821(x25173,x25174,x25172)) % 209.33/209.65 [2518]~E(x25181,x25182)+E(f744(x25181,x25183),f744(x25182,x25183)) % 209.33/209.65 [2519]~E(x25191,x25192)+E(f744(x25193,x25191),f744(x25193,x25192)) % 209.33/209.65 [2520]~E(x25201,x25202)+E(f539(x25201,x25203,x25204,x25205,x25206),f539(x25202,x25203,x25204,x25205,x25206)) % 209.33/209.65 [2521]~E(x25211,x25212)+E(f539(x25213,x25211,x25214,x25215,x25216),f539(x25213,x25212,x25214,x25215,x25216)) % 209.33/209.65 [2522]~E(x25221,x25222)+E(f539(x25223,x25224,x25221,x25225,x25226),f539(x25223,x25224,x25222,x25225,x25226)) % 209.33/209.65 [2523]~E(x25231,x25232)+E(f539(x25233,x25234,x25235,x25231,x25236),f539(x25233,x25234,x25235,x25232,x25236)) % 209.33/209.65 [2524]~E(x25241,x25242)+E(f539(x25243,x25244,x25245,x25246,x25241),f539(x25243,x25244,x25245,x25246,x25242)) % 209.33/209.65 [2525]~E(x25251,x25252)+E(f507(x25251,x25253,x25254),f507(x25252,x25253,x25254)) % 209.33/209.65 [2526]~E(x25261,x25262)+E(f507(x25263,x25261,x25264),f507(x25263,x25262,x25264)) % 209.33/209.65 [2527]~E(x25271,x25272)+E(f507(x25273,x25274,x25271),f507(x25273,x25274,x25272)) % 209.33/209.65 [2528]~E(x25281,x25282)+E(f775(x25281,x25283,x25284,x25285),f775(x25282,x25283,x25284,x25285)) % 209.33/209.65 [2529]~E(x25291,x25292)+E(f775(x25293,x25291,x25294,x25295),f775(x25293,x25292,x25294,x25295)) % 209.33/209.65 [2530]~E(x25301,x25302)+E(f775(x25303,x25304,x25301,x25305),f775(x25303,x25304,x25302,x25305)) % 209.33/209.65 [2531]~E(x25311,x25312)+E(f775(x25313,x25314,x25315,x25311),f775(x25313,x25314,x25315,x25312)) % 209.33/209.65 [2532]~E(x25321,x25322)+E(f284(x25321,x25323,x25324,x25325),f284(x25322,x25323,x25324,x25325)) % 209.33/209.65 [2533]~E(x25331,x25332)+E(f284(x25333,x25331,x25334,x25335),f284(x25333,x25332,x25334,x25335)) % 209.33/209.65 [2534]~E(x25341,x25342)+E(f284(x25343,x25344,x25341,x25345),f284(x25343,x25344,x25342,x25345)) % 209.33/209.65 [2535]~E(x25351,x25352)+E(f284(x25353,x25354,x25355,x25351),f284(x25353,x25354,x25355,x25352)) % 209.33/209.65 [2536]~E(x25361,x25362)+E(f481(x25361,x25363,x25364),f481(x25362,x25363,x25364)) % 209.33/209.65 [2537]~E(x25371,x25372)+E(f481(x25373,x25371,x25374),f481(x25373,x25372,x25374)) % 209.33/209.65 [2538]~E(x25381,x25382)+E(f481(x25383,x25384,x25381),f481(x25383,x25384,x25382)) % 209.33/209.65 [2539]~E(x25391,x25392)+E(f237(x25391,x25393,x25394),f237(x25392,x25393,x25394)) % 209.33/209.65 [2540]~E(x25401,x25402)+E(f237(x25403,x25401,x25404),f237(x25403,x25402,x25404)) % 209.33/209.65 [2541]~E(x25411,x25412)+E(f237(x25413,x25414,x25411),f237(x25413,x25414,x25412)) % 209.33/209.65 [2542]~E(x25421,x25422)+E(f450(x25421,x25423),f450(x25422,x25423)) % 209.33/209.65 [2543]~E(x25431,x25432)+E(f450(x25433,x25431),f450(x25433,x25432)) % 209.33/209.65 [2544]~E(x25441,x25442)+E(f204(x25441,x25443),f204(x25442,x25443)) % 209.33/209.65 [2545]~E(x25451,x25452)+E(f204(x25453,x25451),f204(x25453,x25452)) % 209.33/209.65 [2546]~E(x25461,x25462)+E(f772(x25461,x25463),f772(x25462,x25463)) % 209.33/209.65 [2547]~E(x25471,x25472)+E(f772(x25473,x25471),f772(x25473,x25472)) % 209.33/209.65 [2548]~E(x25481,x25482)+E(f819(x25481,x25483,x25484),f819(x25482,x25483,x25484)) % 209.33/209.65 [2549]~E(x25491,x25492)+E(f819(x25493,x25491,x25494),f819(x25493,x25492,x25494)) % 209.33/209.65 [2550]~E(x25501,x25502)+E(f819(x25503,x25504,x25501),f819(x25503,x25504,x25502)) % 209.33/209.65 [2551]~E(x25511,x25512)+E(f785(x25511,x25513,x25514),f785(x25512,x25513,x25514)) % 209.33/209.65 [2552]~E(x25521,x25522)+E(f785(x25523,x25521,x25524),f785(x25523,x25522,x25524)) % 209.33/209.65 [2553]~E(x25531,x25532)+E(f785(x25533,x25534,x25531),f785(x25533,x25534,x25532)) % 209.33/209.65 [2554]~E(x25541,x25542)+E(f100(x25541,x25543,x25544),f100(x25542,x25543,x25544)) % 209.33/209.65 [2555]~E(x25551,x25552)+E(f100(x25553,x25551,x25554),f100(x25553,x25552,x25554)) % 209.33/209.65 [2556]~E(x25561,x25562)+E(f100(x25563,x25564,x25561),f100(x25563,x25564,x25562)) % 209.33/209.65 [2557]~E(x25571,x25572)+E(f579(x25571,x25573),f579(x25572,x25573)) % 209.33/209.65 [2558]~E(x25581,x25582)+E(f579(x25583,x25581),f579(x25583,x25582)) % 209.33/209.65 [2559]~E(x25591,x25592)+E(f854(x25591,x25593,x25594,x25595,x25596),f854(x25592,x25593,x25594,x25595,x25596)) % 209.33/209.65 [2560]~E(x25601,x25602)+E(f854(x25603,x25601,x25604,x25605,x25606),f854(x25603,x25602,x25604,x25605,x25606)) % 209.33/209.65 [2561]~E(x25611,x25612)+E(f854(x25613,x25614,x25611,x25615,x25616),f854(x25613,x25614,x25612,x25615,x25616)) % 209.33/209.65 [2562]~E(x25621,x25622)+E(f854(x25623,x25624,x25625,x25621,x25626),f854(x25623,x25624,x25625,x25622,x25626)) % 209.33/209.65 [2563]~E(x25631,x25632)+E(f854(x25633,x25634,x25635,x25636,x25631),f854(x25633,x25634,x25635,x25636,x25632)) % 209.33/209.65 [2564]~E(x25641,x25642)+E(f374(x25641,x25643),f374(x25642,x25643)) % 209.33/209.65 [2565]~E(x25651,x25652)+E(f374(x25653,x25651),f374(x25653,x25652)) % 209.33/209.65 [2566]~E(x25661,x25662)+E(f439(x25661),f439(x25662)) % 209.33/209.65 [2567]~E(x25671,x25672)+E(f391(x25671,x25673),f391(x25672,x25673)) % 209.33/209.65 [2568]~E(x25681,x25682)+E(f391(x25683,x25681),f391(x25683,x25682)) % 209.33/209.65 [2569]~E(x25691,x25692)+E(f781(x25691,x25693,x25694),f781(x25692,x25693,x25694)) % 209.33/209.65 [2570]~E(x25701,x25702)+E(f781(x25703,x25701,x25704),f781(x25703,x25702,x25704)) % 209.33/209.65 [2571]~E(x25711,x25712)+E(f781(x25713,x25714,x25711),f781(x25713,x25714,x25712)) % 209.33/209.65 [2572]~E(x25721,x25722)+E(f602(x25721,x25723),f602(x25722,x25723)) % 209.33/209.65 [2573]~E(x25731,x25732)+E(f602(x25733,x25731),f602(x25733,x25732)) % 209.33/209.65 [2574]~E(x25741,x25742)+E(f661(x25741,x25743,x25744,x25745),f661(x25742,x25743,x25744,x25745)) % 209.33/209.65 [2575]~E(x25751,x25752)+E(f661(x25753,x25751,x25754,x25755),f661(x25753,x25752,x25754,x25755)) % 209.33/209.65 [2576]~E(x25761,x25762)+E(f661(x25763,x25764,x25761,x25765),f661(x25763,x25764,x25762,x25765)) % 209.33/209.65 [2577]~E(x25771,x25772)+E(f661(x25773,x25774,x25775,x25771),f661(x25773,x25774,x25775,x25772)) % 209.33/209.65 [2578]~E(x25781,x25782)+E(f493(x25781,x25783,x25784),f493(x25782,x25783,x25784)) % 209.33/209.65 [2579]~E(x25791,x25792)+E(f493(x25793,x25791,x25794),f493(x25793,x25792,x25794)) % 209.33/209.65 [2580]~E(x25801,x25802)+E(f493(x25803,x25804,x25801),f493(x25803,x25804,x25802)) % 209.33/209.65 [2581]~E(x25811,x25812)+E(f417(x25811,x25813),f417(x25812,x25813)) % 209.33/209.65 [2582]~E(x25821,x25822)+E(f417(x25823,x25821),f417(x25823,x25822)) % 209.33/209.65 [2583]~E(x25831,x25832)+E(f851(x25831,x25833,x25834,x25835,x25836),f851(x25832,x25833,x25834,x25835,x25836)) % 209.33/209.65 [2584]~E(x25841,x25842)+E(f851(x25843,x25841,x25844,x25845,x25846),f851(x25843,x25842,x25844,x25845,x25846)) % 209.33/209.65 [2585]~E(x25851,x25852)+E(f851(x25853,x25854,x25851,x25855,x25856),f851(x25853,x25854,x25852,x25855,x25856)) % 209.33/209.65 [2586]~E(x25861,x25862)+E(f851(x25863,x25864,x25865,x25861,x25866),f851(x25863,x25864,x25865,x25862,x25866)) % 209.33/209.65 [2587]~E(x25871,x25872)+E(f851(x25873,x25874,x25875,x25876,x25871),f851(x25873,x25874,x25875,x25876,x25872)) % 209.33/209.65 [2588]~E(x25881,x25882)+E(f458(x25881,x25883,x25884,x25885),f458(x25882,x25883,x25884,x25885)) % 209.33/209.65 [2589]~E(x25891,x25892)+E(f458(x25893,x25891,x25894,x25895),f458(x25893,x25892,x25894,x25895)) % 209.33/209.65 [2590]~E(x25901,x25902)+E(f458(x25903,x25904,x25901,x25905),f458(x25903,x25904,x25902,x25905)) % 209.33/209.65 [2591]~E(x25911,x25912)+E(f458(x25913,x25914,x25915,x25911),f458(x25913,x25914,x25915,x25912)) % 209.33/209.65 [2592]~E(x25921,x25922)+E(f894(x25921,x25923,x25924,x25925,x25926,x25927),f894(x25922,x25923,x25924,x25925,x25926,x25927)) % 209.33/209.65 [2593]~E(x25931,x25932)+E(f894(x25933,x25931,x25934,x25935,x25936,x25937),f894(x25933,x25932,x25934,x25935,x25936,x25937)) % 209.33/209.65 [2594]~E(x25941,x25942)+E(f894(x25943,x25944,x25941,x25945,x25946,x25947),f894(x25943,x25944,x25942,x25945,x25946,x25947)) % 209.33/209.65 [2595]~E(x25951,x25952)+E(f894(x25953,x25954,x25955,x25951,x25956,x25957),f894(x25953,x25954,x25955,x25952,x25956,x25957)) % 209.33/209.65 [2596]~E(x25961,x25962)+E(f894(x25963,x25964,x25965,x25966,x25961,x25967),f894(x25963,x25964,x25965,x25966,x25962,x25967)) % 209.33/209.65 [2597]~E(x25971,x25972)+E(f894(x25973,x25974,x25975,x25976,x25977,x25971),f894(x25973,x25974,x25975,x25976,x25977,x25972)) % 209.33/209.65 [2598]~E(x25981,x25982)+E(f892(x25981,x25983,x25984),f892(x25982,x25983,x25984)) % 209.33/209.65 [2599]~E(x25991,x25992)+E(f892(x25993,x25991,x25994),f892(x25993,x25992,x25994)) % 209.33/209.65 [2600]~E(x26001,x26002)+E(f892(x26003,x26004,x26001),f892(x26003,x26004,x26002)) % 209.33/209.65 [2601]~E(x26011,x26012)+E(f519(x26011,x26013,x26014,x26015),f519(x26012,x26013,x26014,x26015)) % 209.33/209.65 [2602]~E(x26021,x26022)+E(f519(x26023,x26021,x26024,x26025),f519(x26023,x26022,x26024,x26025)) % 209.33/209.65 [2603]~E(x26031,x26032)+E(f519(x26033,x26034,x26031,x26035),f519(x26033,x26034,x26032,x26035)) % 209.33/209.65 [2604]~E(x26041,x26042)+E(f519(x26043,x26044,x26045,x26041),f519(x26043,x26044,x26045,x26042)) % 209.33/209.65 [2605]~E(x26051,x26052)+E(f637(x26051,x26053,x26054,x26055,x26056),f637(x26052,x26053,x26054,x26055,x26056)) % 209.33/209.65 [2606]~E(x26061,x26062)+E(f637(x26063,x26061,x26064,x26065,x26066),f637(x26063,x26062,x26064,x26065,x26066)) % 209.33/209.65 [2607]~E(x26071,x26072)+E(f637(x26073,x26074,x26071,x26075,x26076),f637(x26073,x26074,x26072,x26075,x26076)) % 209.33/209.65 [2608]~E(x26081,x26082)+E(f637(x26083,x26084,x26085,x26081,x26086),f637(x26083,x26084,x26085,x26082,x26086)) % 209.33/209.65 [2609]~E(x26091,x26092)+E(f637(x26093,x26094,x26095,x26096,x26091),f637(x26093,x26094,x26095,x26096,x26092)) % 209.33/209.65 [2610]~E(x26101,x26102)+E(f433(x26101),f433(x26102)) % 209.33/209.65 [2611]~E(x26111,x26112)+E(f462(x26111,x26113,x26114,x26115),f462(x26112,x26113,x26114,x26115)) % 209.33/209.65 [2612]~E(x26121,x26122)+E(f462(x26123,x26121,x26124,x26125),f462(x26123,x26122,x26124,x26125)) % 209.33/209.65 [2613]~E(x26131,x26132)+E(f462(x26133,x26134,x26131,x26135),f462(x26133,x26134,x26132,x26135)) % 209.33/209.65 [2614]~E(x26141,x26142)+E(f462(x26143,x26144,x26145,x26141),f462(x26143,x26144,x26145,x26142)) % 209.33/209.65 [2615]~E(x26151,x26152)+E(f907(x26151,x26153,x26154,x26155),f907(x26152,x26153,x26154,x26155)) % 209.33/209.65 [2616]~E(x26161,x26162)+E(f907(x26163,x26161,x26164,x26165),f907(x26163,x26162,x26164,x26165)) % 209.33/209.65 [2617]~E(x26171,x26172)+E(f907(x26173,x26174,x26171,x26175),f907(x26173,x26174,x26172,x26175)) % 209.33/209.65 [2618]~E(x26181,x26182)+E(f907(x26183,x26184,x26185,x26181),f907(x26183,x26184,x26185,x26182)) % 209.33/209.65 [2619]~E(x26191,x26192)+E(f460(x26191,x26193,x26194),f460(x26192,x26193,x26194)) % 209.33/209.65 [2620]~E(x26201,x26202)+E(f460(x26203,x26201,x26204),f460(x26203,x26202,x26204)) % 209.33/209.65 [2621]~E(x26211,x26212)+E(f460(x26213,x26214,x26211),f460(x26213,x26214,x26212)) % 209.33/209.65 [2622]~E(x26221,x26222)+E(f652(x26221,x26223,x26224,x26225,x26226),f652(x26222,x26223,x26224,x26225,x26226)) % 209.33/209.65 [2623]~E(x26231,x26232)+E(f652(x26233,x26231,x26234,x26235,x26236),f652(x26233,x26232,x26234,x26235,x26236)) % 209.33/209.65 [2624]~E(x26241,x26242)+E(f652(x26243,x26244,x26241,x26245,x26246),f652(x26243,x26244,x26242,x26245,x26246)) % 209.33/209.65 [2625]~E(x26251,x26252)+E(f652(x26253,x26254,x26255,x26251,x26256),f652(x26253,x26254,x26255,x26252,x26256)) % 209.33/209.65 [2626]~E(x26261,x26262)+E(f652(x26263,x26264,x26265,x26266,x26261),f652(x26263,x26264,x26265,x26266,x26262)) % 209.33/209.65 [2627]~E(x26271,x26272)+E(f669(x26271,x26273,x26274,x26275,x26276,x26277),f669(x26272,x26273,x26274,x26275,x26276,x26277)) % 209.33/209.65 [2628]~E(x26281,x26282)+E(f669(x26283,x26281,x26284,x26285,x26286,x26287),f669(x26283,x26282,x26284,x26285,x26286,x26287)) % 209.33/209.65 [2629]~E(x26291,x26292)+E(f669(x26293,x26294,x26291,x26295,x26296,x26297),f669(x26293,x26294,x26292,x26295,x26296,x26297)) % 209.33/209.65 [2630]~E(x26301,x26302)+E(f669(x26303,x26304,x26305,x26301,x26306,x26307),f669(x26303,x26304,x26305,x26302,x26306,x26307)) % 209.33/209.65 [2631]~E(x26311,x26312)+E(f669(x26313,x26314,x26315,x26316,x26311,x26317),f669(x26313,x26314,x26315,x26316,x26312,x26317)) % 209.33/209.65 [2632]~E(x26321,x26322)+E(f669(x26323,x26324,x26325,x26326,x26327,x26321),f669(x26323,x26324,x26325,x26326,x26327,x26322)) % 209.33/209.65 [2633]~E(x26331,x26332)+E(f359(x26331,x26333,x26334,x26335),f359(x26332,x26333,x26334,x26335)) % 209.33/209.65 [2634]~E(x26341,x26342)+E(f359(x26343,x26341,x26344,x26345),f359(x26343,x26342,x26344,x26345)) % 209.33/209.65 [2635]~E(x26351,x26352)+E(f359(x26353,x26354,x26351,x26355),f359(x26353,x26354,x26352,x26355)) % 209.33/209.65 [2636]~E(x26361,x26362)+E(f359(x26363,x26364,x26365,x26361),f359(x26363,x26364,x26365,x26362)) % 209.33/209.65 [2637]~E(x26371,x26372)+E(f590(x26371,x26373),f590(x26372,x26373)) % 209.33/209.65 [2638]~E(x26381,x26382)+E(f590(x26383,x26381),f590(x26383,x26382)) % 209.33/209.65 [2639]~E(x26391,x26392)+E(f544(x26391,x26393),f544(x26392,x26393)) % 209.33/209.65 [2640]~E(x26401,x26402)+E(f544(x26403,x26401),f544(x26403,x26402)) % 209.33/209.65 [2641]~E(x26411,x26412)+E(f37(x26411,x26413,x26414,x26415),f37(x26412,x26413,x26414,x26415)) % 209.33/209.65 [2642]~E(x26421,x26422)+E(f37(x26423,x26421,x26424,x26425),f37(x26423,x26422,x26424,x26425)) % 209.33/209.65 [2643]~E(x26431,x26432)+E(f37(x26433,x26434,x26431,x26435),f37(x26433,x26434,x26432,x26435)) % 209.33/209.65 [2644]~E(x26441,x26442)+E(f37(x26443,x26444,x26445,x26441),f37(x26443,x26444,x26445,x26442)) % 209.33/209.65 [2645]~E(x26451,x26452)+E(f36(x26451,x26453,x26454,x26455),f36(x26452,x26453,x26454,x26455)) % 209.33/209.65 [2646]~E(x26461,x26462)+E(f36(x26463,x26461,x26464,x26465),f36(x26463,x26462,x26464,x26465)) % 209.33/209.65 [2647]~E(x26471,x26472)+E(f36(x26473,x26474,x26471,x26475),f36(x26473,x26474,x26472,x26475)) % 209.33/209.65 [2648]~E(x26481,x26482)+E(f36(x26483,x26484,x26485,x26481),f36(x26483,x26484,x26485,x26482)) % 209.33/209.65 [2649]~E(x26491,x26492)+E(f862(x26491,x26493,x26494,x26495,x26496,x26497,x26498,x26499),f862(x26492,x26493,x26494,x26495,x26496,x26497,x26498,x26499)) % 209.33/209.65 [2650]~E(x26501,x26502)+E(f862(x26503,x26501,x26504,x26505,x26506,x26507,x26508,x26509),f862(x26503,x26502,x26504,x26505,x26506,x26507,x26508,x26509)) % 209.33/209.65 [2651]~E(x26511,x26512)+E(f862(x26513,x26514,x26511,x26515,x26516,x26517,x26518,x26519),f862(x26513,x26514,x26512,x26515,x26516,x26517,x26518,x26519)) % 209.33/209.65 [2652]~E(x26521,x26522)+E(f862(x26523,x26524,x26525,x26521,x26526,x26527,x26528,x26529),f862(x26523,x26524,x26525,x26522,x26526,x26527,x26528,x26529)) % 209.33/209.65 [2653]~E(x26531,x26532)+E(f862(x26533,x26534,x26535,x26536,x26531,x26537,x26538,x26539),f862(x26533,x26534,x26535,x26536,x26532,x26537,x26538,x26539)) % 209.33/209.65 [2654]~E(x26541,x26542)+E(f862(x26543,x26544,x26545,x26546,x26547,x26541,x26548,x26549),f862(x26543,x26544,x26545,x26546,x26547,x26542,x26548,x26549)) % 209.33/209.65 [2655]~E(x26551,x26552)+E(f862(x26553,x26554,x26555,x26556,x26557,x26558,x26551,x26559),f862(x26553,x26554,x26555,x26556,x26557,x26558,x26552,x26559)) % 209.33/209.65 [2656]~E(x26561,x26562)+E(f862(x26563,x26564,x26565,x26566,x26567,x26568,x26569,x26561),f862(x26563,x26564,x26565,x26566,x26567,x26568,x26569,x26562)) % 209.33/209.65 [2657]~E(x26571,x26572)+E(f470(x26571,x26573,x26574),f470(x26572,x26573,x26574)) % 209.33/209.65 [2658]~E(x26581,x26582)+E(f470(x26583,x26581,x26584),f470(x26583,x26582,x26584)) % 209.33/209.65 [2659]~E(x26591,x26592)+E(f470(x26593,x26594,x26591),f470(x26593,x26594,x26592)) % 209.33/209.65 [2660]~E(x26601,x26602)+E(f366(x26601,x26603),f366(x26602,x26603)) % 209.33/209.65 [2661]~E(x26611,x26612)+E(f366(x26613,x26611),f366(x26613,x26612)) % 209.33/209.65 [2662]~E(x26621,x26622)+E(f538(x26621,x26623,x26624),f538(x26622,x26623,x26624)) % 209.33/209.65 [2663]~E(x26631,x26632)+E(f538(x26633,x26631,x26634),f538(x26633,x26632,x26634)) % 209.33/209.65 [2664]~E(x26641,x26642)+E(f538(x26643,x26644,x26641),f538(x26643,x26644,x26642)) % 209.33/209.65 [2665]~E(x26651,x26652)+E(f582(x26651,x26653,x26654),f582(x26652,x26653,x26654)) % 209.33/209.65 [2666]~E(x26661,x26662)+E(f582(x26663,x26661,x26664),f582(x26663,x26662,x26664)) % 209.33/209.65 [2667]~E(x26671,x26672)+E(f582(x26673,x26674,x26671),f582(x26673,x26674,x26672)) % 209.33/209.65 [2668]~E(x26681,x26682)+E(f625(x26681,x26683,x26684),f625(x26682,x26683,x26684)) % 209.33/209.65 [2669]~E(x26691,x26692)+E(f625(x26693,x26691,x26694),f625(x26693,x26692,x26694)) % 209.33/209.65 [2670]~E(x26701,x26702)+E(f625(x26703,x26704,x26701),f625(x26703,x26704,x26702)) % 209.33/209.65 [2671]~E(x26711,x26712)+E(f423(x26711,x26713,x26714,x26715,x26716),f423(x26712,x26713,x26714,x26715,x26716)) % 209.33/209.65 [2672]~E(x26721,x26722)+E(f423(x26723,x26721,x26724,x26725,x26726),f423(x26723,x26722,x26724,x26725,x26726)) % 209.33/209.65 [2673]~E(x26731,x26732)+E(f423(x26733,x26734,x26731,x26735,x26736),f423(x26733,x26734,x26732,x26735,x26736)) % 209.33/209.65 [2674]~E(x26741,x26742)+E(f423(x26743,x26744,x26745,x26741,x26746),f423(x26743,x26744,x26745,x26742,x26746)) % 209.33/209.65 [2675]~E(x26751,x26752)+E(f423(x26753,x26754,x26755,x26756,x26751),f423(x26753,x26754,x26755,x26756,x26752)) % 209.33/209.65 [2676]~E(x26761,x26762)+E(f447(x26761,x26763),f447(x26762,x26763)) % 209.33/209.65 [2677]~E(x26771,x26772)+E(f447(x26773,x26771),f447(x26773,x26772)) % 209.33/209.65 [2678]~E(x26781,x26782)+E(f564(x26781,x26783,x26784,x26785,x26786,x26787),f564(x26782,x26783,x26784,x26785,x26786,x26787)) % 209.33/209.65 [2679]~E(x26791,x26792)+E(f564(x26793,x26791,x26794,x26795,x26796,x26797),f564(x26793,x26792,x26794,x26795,x26796,x26797)) % 209.33/209.65 [2680]~E(x26801,x26802)+E(f564(x26803,x26804,x26801,x26805,x26806,x26807),f564(x26803,x26804,x26802,x26805,x26806,x26807)) % 209.33/209.65 [2681]~E(x26811,x26812)+E(f564(x26813,x26814,x26815,x26811,x26816,x26817),f564(x26813,x26814,x26815,x26812,x26816,x26817)) % 209.33/209.65 [2682]~E(x26821,x26822)+E(f564(x26823,x26824,x26825,x26826,x26821,x26827),f564(x26823,x26824,x26825,x26826,x26822,x26827)) % 209.33/209.65 [2683]~E(x26831,x26832)+E(f564(x26833,x26834,x26835,x26836,x26837,x26831),f564(x26833,x26834,x26835,x26836,x26837,x26832)) % 209.33/209.65 [2684]~E(x26841,x26842)+E(f397(x26841,x26843,x26844),f397(x26842,x26843,x26844)) % 209.33/209.65 [2685]~E(x26851,x26852)+E(f397(x26853,x26851,x26854),f397(x26853,x26852,x26854)) % 209.33/209.65 [2686]~E(x26861,x26862)+E(f397(x26863,x26864,x26861),f397(x26863,x26864,x26862)) % 209.33/209.65 [2687]~E(x26871,x26872)+E(f350(x26871),f350(x26872)) % 209.33/209.65 [2688]~E(x26881,x26882)+E(f697(x26881,x26883,x26884),f697(x26882,x26883,x26884)) % 209.33/209.65 [2689]~E(x26891,x26892)+E(f697(x26893,x26891,x26894),f697(x26893,x26892,x26894)) % 209.33/209.65 [2690]~E(x26901,x26902)+E(f697(x26903,x26904,x26901),f697(x26903,x26904,x26902)) % 209.33/209.65 [2691]~E(x26911,x26912)+E(f573(x26911,x26913,x26914),f573(x26912,x26913,x26914)) % 209.33/209.65 [2692]~E(x26921,x26922)+E(f573(x26923,x26921,x26924),f573(x26923,x26922,x26924)) % 209.33/209.65 [2693]~E(x26931,x26932)+E(f573(x26933,x26934,x26931),f573(x26933,x26934,x26932)) % 209.33/209.65 [2694]~E(x26941,x26942)+E(f240(x26941,x26943,x26944,x26945),f240(x26942,x26943,x26944,x26945)) % 209.33/209.65 [2695]~E(x26951,x26952)+E(f240(x26953,x26951,x26954,x26955),f240(x26953,x26952,x26954,x26955)) % 209.33/209.65 [2696]~E(x26961,x26962)+E(f240(x26963,x26964,x26961,x26965),f240(x26963,x26964,x26962,x26965)) % 209.33/209.65 [2697]~E(x26971,x26972)+E(f240(x26973,x26974,x26975,x26971),f240(x26973,x26974,x26975,x26972)) % 209.33/209.65 [2698]~E(x26981,x26982)+E(f217(x26981,x26983,x26984,x26985,x26986,x26987,x26988),f217(x26982,x26983,x26984,x26985,x26986,x26987,x26988)) % 209.33/209.65 [2699]~E(x26991,x26992)+E(f217(x26993,x26991,x26994,x26995,x26996,x26997,x26998),f217(x26993,x26992,x26994,x26995,x26996,x26997,x26998)) % 209.33/209.65 [2700]~E(x27001,x27002)+E(f217(x27003,x27004,x27001,x27005,x27006,x27007,x27008),f217(x27003,x27004,x27002,x27005,x27006,x27007,x27008)) % 209.33/209.65 [2701]~E(x27011,x27012)+E(f217(x27013,x27014,x27015,x27011,x27016,x27017,x27018),f217(x27013,x27014,x27015,x27012,x27016,x27017,x27018)) % 209.33/209.65 [2702]~E(x27021,x27022)+E(f217(x27023,x27024,x27025,x27026,x27021,x27027,x27028),f217(x27023,x27024,x27025,x27026,x27022,x27027,x27028)) % 209.33/209.65 [2703]~E(x27031,x27032)+E(f217(x27033,x27034,x27035,x27036,x27037,x27031,x27038),f217(x27033,x27034,x27035,x27036,x27037,x27032,x27038)) % 209.33/209.65 [2704]~E(x27041,x27042)+E(f217(x27043,x27044,x27045,x27046,x27047,x27048,x27041),f217(x27043,x27044,x27045,x27046,x27047,x27048,x27042)) % 209.33/209.65 [2705]~E(x27051,x27052)+E(f215(x27051,x27053,x27054,x27055),f215(x27052,x27053,x27054,x27055)) % 209.33/209.65 [2706]~E(x27061,x27062)+E(f215(x27063,x27061,x27064,x27065),f215(x27063,x27062,x27064,x27065)) % 209.33/209.65 [2707]~E(x27071,x27072)+E(f215(x27073,x27074,x27071,x27075),f215(x27073,x27074,x27072,x27075)) % 209.33/209.65 [2708]~E(x27081,x27082)+E(f215(x27083,x27084,x27085,x27081),f215(x27083,x27084,x27085,x27082)) % 209.33/209.65 [2709]~E(x27091,x27092)+E(f209(x27091),f209(x27092)) % 209.33/209.65 [2710]~E(x27101,x27102)+E(f827(x27101,x27103,x27104),f827(x27102,x27103,x27104)) % 209.33/209.65 [2711]~E(x27111,x27112)+E(f827(x27113,x27111,x27114),f827(x27113,x27112,x27114)) % 209.33/209.65 [2712]~E(x27121,x27122)+E(f827(x27123,x27124,x27121),f827(x27123,x27124,x27122)) % 209.33/209.65 [2713]~E(x27131,x27132)+E(f594(x27131,x27133,x27134,x27135),f594(x27132,x27133,x27134,x27135)) % 209.33/209.65 [2714]~E(x27141,x27142)+E(f594(x27143,x27141,x27144,x27145),f594(x27143,x27142,x27144,x27145)) % 209.33/209.65 [2715]~E(x27151,x27152)+E(f594(x27153,x27154,x27151,x27155),f594(x27153,x27154,x27152,x27155)) % 209.33/209.65 [2716]~E(x27161,x27162)+E(f594(x27163,x27164,x27165,x27161),f594(x27163,x27164,x27165,x27162)) % 209.33/209.65 [2717]~E(x27171,x27172)+E(f219(x27171,x27173,x27174,x27175),f219(x27172,x27173,x27174,x27175)) % 209.33/209.65 [2718]~E(x27181,x27182)+E(f219(x27183,x27181,x27184,x27185),f219(x27183,x27182,x27184,x27185)) % 209.33/209.65 [2719]~E(x27191,x27192)+E(f219(x27193,x27194,x27191,x27195),f219(x27193,x27194,x27192,x27195)) % 209.33/209.65 [2720]~E(x27201,x27202)+E(f219(x27203,x27204,x27205,x27201),f219(x27203,x27204,x27205,x27202)) % 209.33/209.65 [2721]~E(x27211,x27212)+E(f534(x27211,x27213,x27214,x27215),f534(x27212,x27213,x27214,x27215)) % 209.33/209.65 [2722]~E(x27221,x27222)+E(f534(x27223,x27221,x27224,x27225),f534(x27223,x27222,x27224,x27225)) % 209.33/209.65 [2723]~E(x27231,x27232)+E(f534(x27233,x27234,x27231,x27235),f534(x27233,x27234,x27232,x27235)) % 209.33/209.65 [2724]~E(x27241,x27242)+E(f534(x27243,x27244,x27245,x27241),f534(x27243,x27244,x27245,x27242)) % 209.33/209.65 [2725]~E(x27251,x27252)+E(f915(x27251,x27253,x27254,x27255),f915(x27252,x27253,x27254,x27255)) % 209.33/209.65 [2726]~E(x27261,x27262)+E(f915(x27263,x27261,x27264,x27265),f915(x27263,x27262,x27264,x27265)) % 209.33/209.65 [2727]~E(x27271,x27272)+E(f915(x27273,x27274,x27271,x27275),f915(x27273,x27274,x27272,x27275)) % 209.33/209.65 [2728]~E(x27281,x27282)+E(f915(x27283,x27284,x27285,x27281),f915(x27283,x27284,x27285,x27282)) % 209.33/209.65 [2729]~E(x27291,x27292)+E(f891(x27291,x27293),f891(x27292,x27293)) % 209.33/209.65 [2730]~E(x27301,x27302)+E(f891(x27303,x27301),f891(x27303,x27302)) % 209.33/209.65 [2731]~E(x27311,x27312)+E(f422(x27311,x27313,x27314,x27315,x27316),f422(x27312,x27313,x27314,x27315,x27316)) % 209.33/209.65 [2732]~E(x27321,x27322)+E(f422(x27323,x27321,x27324,x27325,x27326),f422(x27323,x27322,x27324,x27325,x27326)) % 209.33/209.65 [2733]~E(x27331,x27332)+E(f422(x27333,x27334,x27331,x27335,x27336),f422(x27333,x27334,x27332,x27335,x27336)) % 209.33/209.65 [2734]~E(x27341,x27342)+E(f422(x27343,x27344,x27345,x27341,x27346),f422(x27343,x27344,x27345,x27342,x27346)) % 209.33/209.65 [2735]~E(x27351,x27352)+E(f422(x27353,x27354,x27355,x27356,x27351),f422(x27353,x27354,x27355,x27356,x27352)) % 209.33/209.65 [2736]~E(x27361,x27362)+E(f663(x27361,x27363,x27364,x27365,x27366),f663(x27362,x27363,x27364,x27365,x27366)) % 209.33/209.65 [2737]~E(x27371,x27372)+E(f663(x27373,x27371,x27374,x27375,x27376),f663(x27373,x27372,x27374,x27375,x27376)) % 209.33/209.65 [2738]~E(x27381,x27382)+E(f663(x27383,x27384,x27381,x27385,x27386),f663(x27383,x27384,x27382,x27385,x27386)) % 209.33/209.65 [2739]~E(x27391,x27392)+E(f663(x27393,x27394,x27395,x27391,x27396),f663(x27393,x27394,x27395,x27392,x27396)) % 209.33/209.65 [2740]~E(x27401,x27402)+E(f663(x27403,x27404,x27405,x27406,x27401),f663(x27403,x27404,x27405,x27406,x27402)) % 209.33/209.65 [2741]~E(x27411,x27412)+E(f449(x27411,x27413,x27414,x27415),f449(x27412,x27413,x27414,x27415)) % 209.33/209.65 [2742]~E(x27421,x27422)+E(f449(x27423,x27421,x27424,x27425),f449(x27423,x27422,x27424,x27425)) % 209.33/209.65 [2743]~E(x27431,x27432)+E(f449(x27433,x27434,x27431,x27435),f449(x27433,x27434,x27432,x27435)) % 209.33/209.65 [2744]~E(x27441,x27442)+E(f449(x27443,x27444,x27445,x27441),f449(x27443,x27444,x27445,x27442)) % 209.33/209.65 [2745]~E(x27451,x27452)+E(f713(x27451,x27453,x27454),f713(x27452,x27453,x27454)) % 209.33/209.65 [2746]~E(x27461,x27462)+E(f713(x27463,x27461,x27464),f713(x27463,x27462,x27464)) % 209.33/209.65 [2747]~E(x27471,x27472)+E(f713(x27473,x27474,x27471),f713(x27473,x27474,x27472)) % 209.33/209.65 [2748]~E(x27481,x27482)+E(f906(x27481,x27483,x27484),f906(x27482,x27483,x27484)) % 209.33/209.65 [2749]~E(x27491,x27492)+E(f906(x27493,x27491,x27494),f906(x27493,x27492,x27494)) % 209.33/209.65 [2750]~E(x27501,x27502)+E(f906(x27503,x27504,x27501),f906(x27503,x27504,x27502)) % 209.33/209.65 [2751]~E(x27511,x27512)+E(f348(x27511,x27513,x27514,x27515),f348(x27512,x27513,x27514,x27515)) % 209.33/209.65 [2752]~E(x27521,x27522)+E(f348(x27523,x27521,x27524,x27525),f348(x27523,x27522,x27524,x27525)) % 209.33/209.65 [2753]~E(x27531,x27532)+E(f348(x27533,x27534,x27531,x27535),f348(x27533,x27534,x27532,x27535)) % 209.33/209.65 [2754]~E(x27541,x27542)+E(f348(x27543,x27544,x27545,x27541),f348(x27543,x27544,x27545,x27542)) % 209.33/209.65 [2755]~E(x27551,x27552)+E(f367(x27551,x27553),f367(x27552,x27553)) % 209.33/209.65 [2756]~E(x27561,x27562)+E(f367(x27563,x27561),f367(x27563,x27562)) % 209.33/209.65 [2757]~E(x27571,x27572)+E(f636(x27571,x27573,x27574,x27575),f636(x27572,x27573,x27574,x27575)) % 209.33/209.65 [2758]~E(x27581,x27582)+E(f636(x27583,x27581,x27584,x27585),f636(x27583,x27582,x27584,x27585)) % 209.33/209.65 [2759]~E(x27591,x27592)+E(f636(x27593,x27594,x27591,x27595),f636(x27593,x27594,x27592,x27595)) % 209.33/209.65 [2760]~E(x27601,x27602)+E(f636(x27603,x27604,x27605,x27601),f636(x27603,x27604,x27605,x27602)) % 209.33/209.65 [2761]~E(x27611,x27612)+E(f268(x27611,x27613,x27614,x27615,x27616),f268(x27612,x27613,x27614,x27615,x27616)) % 209.33/209.65 [2762]~E(x27621,x27622)+E(f268(x27623,x27621,x27624,x27625,x27626),f268(x27623,x27622,x27624,x27625,x27626)) % 209.33/209.65 [2763]~E(x27631,x27632)+E(f268(x27633,x27634,x27631,x27635,x27636),f268(x27633,x27634,x27632,x27635,x27636)) % 209.33/209.65 [2764]~E(x27641,x27642)+E(f268(x27643,x27644,x27645,x27641,x27646),f268(x27643,x27644,x27645,x27642,x27646)) % 209.33/209.65 [2765]~E(x27651,x27652)+E(f268(x27653,x27654,x27655,x27656,x27651),f268(x27653,x27654,x27655,x27656,x27652)) % 209.33/209.65 [2766]~E(x27661,x27662)+E(f741(x27661,x27663,x27664),f741(x27662,x27663,x27664)) % 209.33/209.65 [2767]~E(x27671,x27672)+E(f741(x27673,x27671,x27674),f741(x27673,x27672,x27674)) % 209.33/209.65 [2768]~E(x27681,x27682)+E(f741(x27683,x27684,x27681),f741(x27683,x27684,x27682)) % 209.33/209.65 [2769]~E(x27691,x27692)+E(f347(x27691,x27693,x27694,x27695),f347(x27692,x27693,x27694,x27695)) % 209.33/209.65 [2770]~E(x27701,x27702)+E(f347(x27703,x27701,x27704,x27705),f347(x27703,x27702,x27704,x27705)) % 209.33/209.65 [2771]~E(x27711,x27712)+E(f347(x27713,x27714,x27711,x27715),f347(x27713,x27714,x27712,x27715)) % 209.33/209.65 [2772]~E(x27721,x27722)+E(f347(x27723,x27724,x27725,x27721),f347(x27723,x27724,x27725,x27722)) % 209.33/209.65 [2773]~E(x27731,x27732)+E(f223(x27731,x27733),f223(x27732,x27733)) % 209.33/209.65 [2774]~E(x27741,x27742)+E(f223(x27743,x27741),f223(x27743,x27742)) % 209.33/209.65 [2775]~E(x27751,x27752)+E(f789(x27751,x27753,x27754,x27755,x27756,x27757),f789(x27752,x27753,x27754,x27755,x27756,x27757)) % 209.33/209.65 [2776]~E(x27761,x27762)+E(f789(x27763,x27761,x27764,x27765,x27766,x27767),f789(x27763,x27762,x27764,x27765,x27766,x27767)) % 209.33/209.65 [2777]~E(x27771,x27772)+E(f789(x27773,x27774,x27771,x27775,x27776,x27777),f789(x27773,x27774,x27772,x27775,x27776,x27777)) % 209.33/209.65 [2778]~E(x27781,x27782)+E(f789(x27783,x27784,x27785,x27781,x27786,x27787),f789(x27783,x27784,x27785,x27782,x27786,x27787)) % 209.33/209.65 [2779]~E(x27791,x27792)+E(f789(x27793,x27794,x27795,x27796,x27791,x27797),f789(x27793,x27794,x27795,x27796,x27792,x27797)) % 209.33/209.65 [2780]~E(x27801,x27802)+E(f789(x27803,x27804,x27805,x27806,x27807,x27801),f789(x27803,x27804,x27805,x27806,x27807,x27802)) % 209.33/209.65 [2781]~E(x27811,x27812)+E(f424(x27811),f424(x27812)) % 209.33/209.65 [2782]~E(x27821,x27822)+E(f47(x27821),f47(x27822)) % 209.33/209.65 [2783]~E(x27831,x27832)+E(f371(x27831,x27833),f371(x27832,x27833)) % 209.33/209.65 [2784]~E(x27841,x27842)+E(f371(x27843,x27841),f371(x27843,x27842)) % 209.33/209.65 [2785]~E(x27851,x27852)+E(f762(x27851,x27853),f762(x27852,x27853)) % 209.33/209.65 [2786]~E(x27861,x27862)+E(f762(x27863,x27861),f762(x27863,x27862)) % 209.33/209.65 [2787]~E(x27871,x27872)+E(f577(x27871),f577(x27872)) % 209.33/209.65 [2788]~E(x27881,x27882)+E(f446(x27881,x27883),f446(x27882,x27883)) % 209.33/209.65 [2789]~E(x27891,x27892)+E(f446(x27893,x27891),f446(x27893,x27892)) % 209.33/209.65 [2790]~E(x27901,x27902)+E(f725(x27901,x27903),f725(x27902,x27903)) % 209.33/209.65 [2791]~E(x27911,x27912)+E(f725(x27913,x27911),f725(x27913,x27912)) % 209.33/209.65 [2792]~E(x27921,x27922)+E(f757(x27921,x27923),f757(x27922,x27923)) % 209.33/209.65 [2793]~E(x27931,x27932)+E(f757(x27933,x27931),f757(x27933,x27932)) % 209.33/209.65 [2794]~E(x27941,x27942)+E(f465(x27941),f465(x27942)) % 209.33/209.65 [2795]~E(x27951,x27952)+E(f102(x27951,x27953,x27954,x27955),f102(x27952,x27953,x27954,x27955)) % 209.33/209.65 [2796]~E(x27961,x27962)+E(f102(x27963,x27961,x27964,x27965),f102(x27963,x27962,x27964,x27965)) % 209.33/209.65 [2797]~E(x27971,x27972)+E(f102(x27973,x27974,x27971,x27975),f102(x27973,x27974,x27972,x27975)) % 209.33/209.65 [2798]~E(x27981,x27982)+E(f102(x27983,x27984,x27985,x27981),f102(x27983,x27984,x27985,x27982)) % 209.33/209.65 [2799]~E(x27991,x27992)+E(f670(x27991,x27993,x27994,x27995),f670(x27992,x27993,x27994,x27995)) % 209.33/209.65 [2800]~E(x28001,x28002)+E(f670(x28003,x28001,x28004,x28005),f670(x28003,x28002,x28004,x28005)) % 209.33/209.65 [2801]~E(x28011,x28012)+E(f670(x28013,x28014,x28011,x28015),f670(x28013,x28014,x28012,x28015)) % 209.33/209.65 [2802]~E(x28021,x28022)+E(f670(x28023,x28024,x28025,x28021),f670(x28023,x28024,x28025,x28022)) % 209.33/209.65 [2803]~E(x28031,x28032)+E(f687(x28031,x28033,x28034),f687(x28032,x28033,x28034)) % 209.33/209.65 [2804]~E(x28041,x28042)+E(f687(x28043,x28041,x28044),f687(x28043,x28042,x28044)) % 209.33/209.65 [2805]~E(x28051,x28052)+E(f687(x28053,x28054,x28051),f687(x28053,x28054,x28052)) % 209.33/209.65 [2806]~E(x28061,x28062)+E(f676(x28061,x28063,x28064,x28065,x28066),f676(x28062,x28063,x28064,x28065,x28066)) % 209.33/209.65 [2807]~E(x28071,x28072)+E(f676(x28073,x28071,x28074,x28075,x28076),f676(x28073,x28072,x28074,x28075,x28076)) % 209.33/209.65 [2808]~E(x28081,x28082)+E(f676(x28083,x28084,x28081,x28085,x28086),f676(x28083,x28084,x28082,x28085,x28086)) % 209.33/209.65 [2809]~E(x28091,x28092)+E(f676(x28093,x28094,x28095,x28091,x28096),f676(x28093,x28094,x28095,x28092,x28096)) % 209.33/209.65 [2810]~E(x28101,x28102)+E(f676(x28103,x28104,x28105,x28106,x28101),f676(x28103,x28104,x28105,x28106,x28102)) % 209.33/209.65 [2811]~E(x28111,x28112)+E(f358(x28111,x28113,x28114,x28115),f358(x28112,x28113,x28114,x28115)) % 209.33/209.65 [2812]~E(x28121,x28122)+E(f358(x28123,x28121,x28124,x28125),f358(x28123,x28122,x28124,x28125)) % 209.33/209.65 [2813]~E(x28131,x28132)+E(f358(x28133,x28134,x28131,x28135),f358(x28133,x28134,x28132,x28135)) % 209.33/209.65 [2814]~E(x28141,x28142)+E(f358(x28143,x28144,x28145,x28141),f358(x28143,x28144,x28145,x28142)) % 209.33/209.65 [2815]~E(x28151,x28152)+E(f773(x28151,x28153,x28154),f773(x28152,x28153,x28154)) % 209.33/209.65 [2816]~E(x28161,x28162)+E(f773(x28163,x28161,x28164),f773(x28163,x28162,x28164)) % 209.33/209.65 [2817]~E(x28171,x28172)+E(f773(x28173,x28174,x28171),f773(x28173,x28174,x28172)) % 209.33/209.65 [2818]~E(x28181,x28182)+E(f389(x28181,x28183,x28184,x28185,x28186),f389(x28182,x28183,x28184,x28185,x28186)) % 209.33/209.65 [2819]~E(x28191,x28192)+E(f389(x28193,x28191,x28194,x28195,x28196),f389(x28193,x28192,x28194,x28195,x28196)) % 209.33/209.65 [2820]~E(x28201,x28202)+E(f389(x28203,x28204,x28201,x28205,x28206),f389(x28203,x28204,x28202,x28205,x28206)) % 209.33/209.65 [2821]~E(x28211,x28212)+E(f389(x28213,x28214,x28215,x28211,x28216),f389(x28213,x28214,x28215,x28212,x28216)) % 209.33/209.65 [2822]~E(x28221,x28222)+E(f389(x28223,x28224,x28225,x28226,x28221),f389(x28223,x28224,x28225,x28226,x28222)) % 209.33/209.65 [2823]~E(x28231,x28232)+E(f480(x28231,x28233,x28234),f480(x28232,x28233,x28234)) % 209.33/209.65 [2824]~E(x28241,x28242)+E(f480(x28243,x28241,x28244),f480(x28243,x28242,x28244)) % 209.33/209.65 [2825]~E(x28251,x28252)+E(f480(x28253,x28254,x28251),f480(x28253,x28254,x28252)) % 209.33/209.65 [2826]~E(x28261,x28262)+E(f835(x28261,x28263),f835(x28262,x28263)) % 209.33/209.65 [2827]~E(x28271,x28272)+E(f835(x28273,x28271),f835(x28273,x28272)) % 209.33/209.65 [2828]~E(x28281,x28282)+E(f829(x28281,x28283),f829(x28282,x28283)) % 209.33/209.65 [2829]~E(x28291,x28292)+E(f829(x28293,x28291),f829(x28293,x28292)) % 209.33/209.65 [2830]~E(x28301,x28302)+E(f912(x28301,x28303),f912(x28302,x28303)) % 209.33/209.65 [2831]~E(x28311,x28312)+E(f912(x28313,x28311),f912(x28313,x28312)) % 209.33/209.65 [2832]~E(x28321,x28322)+E(f899(x28321,x28323,x28324),f899(x28322,x28323,x28324)) % 209.33/209.65 [2833]~E(x28331,x28332)+E(f899(x28333,x28331,x28334),f899(x28333,x28332,x28334)) % 209.33/209.65 [2834]~E(x28341,x28342)+E(f899(x28343,x28344,x28341),f899(x28343,x28344,x28342)) % 209.33/209.65 [2835]~E(x28351,x28352)+E(f427(x28351,x28353),f427(x28352,x28353)) % 209.33/209.65 [2836]~E(x28361,x28362)+E(f427(x28363,x28361),f427(x28363,x28362)) % 209.33/209.65 [2837]~E(x28371,x28372)+E(f902(x28371,x28373,x28374,x28375),f902(x28372,x28373,x28374,x28375)) % 209.33/209.65 [2838]~E(x28381,x28382)+E(f902(x28383,x28381,x28384,x28385),f902(x28383,x28382,x28384,x28385)) % 209.33/209.65 [2839]~E(x28391,x28392)+E(f902(x28393,x28394,x28391,x28395),f902(x28393,x28394,x28392,x28395)) % 209.33/209.65 [2840]~E(x28401,x28402)+E(f902(x28403,x28404,x28405,x28401),f902(x28403,x28404,x28405,x28402)) % 209.33/209.65 [2841]~E(x28411,x28412)+E(f471(x28411,x28413,x28414,x28415),f471(x28412,x28413,x28414,x28415)) % 209.33/209.65 [2842]~E(x28421,x28422)+E(f471(x28423,x28421,x28424,x28425),f471(x28423,x28422,x28424,x28425)) % 209.33/209.65 [2843]~E(x28431,x28432)+E(f471(x28433,x28434,x28431,x28435),f471(x28433,x28434,x28432,x28435)) % 209.33/209.65 [2844]~E(x28441,x28442)+E(f471(x28443,x28444,x28445,x28441),f471(x28443,x28444,x28445,x28442)) % 209.33/209.65 [2845]~E(x28451,x28452)+E(f500(x28451,x28453,x28454,x28455),f500(x28452,x28453,x28454,x28455)) % 209.33/209.65 [2846]~E(x28461,x28462)+E(f500(x28463,x28461,x28464,x28465),f500(x28463,x28462,x28464,x28465)) % 209.33/209.65 [2847]~E(x28471,x28472)+E(f500(x28473,x28474,x28471,x28475),f500(x28473,x28474,x28472,x28475)) % 209.33/209.65 [2848]~E(x28481,x28482)+E(f500(x28483,x28484,x28485,x28481),f500(x28483,x28484,x28485,x28482)) % 209.33/209.65 [2849]~E(x28491,x28492)+E(f246(x28491,x28493),f246(x28492,x28493)) % 209.33/209.65 [2850]~E(x28501,x28502)+E(f246(x28503,x28501),f246(x28503,x28502)) % 209.33/209.65 [2851]~E(x28511,x28512)+E(f216(x28511,x28513,x28514,x28515),f216(x28512,x28513,x28514,x28515)) % 209.33/209.65 [2852]~E(x28521,x28522)+E(f216(x28523,x28521,x28524,x28525),f216(x28523,x28522,x28524,x28525)) % 209.33/209.65 [2853]~E(x28531,x28532)+E(f216(x28533,x28534,x28531,x28535),f216(x28533,x28534,x28532,x28535)) % 209.33/209.65 [2854]~E(x28541,x28542)+E(f216(x28543,x28544,x28545,x28541),f216(x28543,x28544,x28545,x28542)) % 209.33/209.65 [2855]~E(x28551,x28552)+E(f568(x28551,x28553),f568(x28552,x28553)) % 209.33/209.65 [2856]~E(x28561,x28562)+E(f568(x28563,x28561),f568(x28563,x28562)) % 209.33/209.65 [2857]~E(x28571,x28572)+E(f643(x28571,x28573,x28574),f643(x28572,x28573,x28574)) % 209.33/209.65 [2858]~E(x28581,x28582)+E(f643(x28583,x28581,x28584),f643(x28583,x28582,x28584)) % 209.33/209.65 [2859]~E(x28591,x28592)+E(f643(x28593,x28594,x28591),f643(x28593,x28594,x28592)) % 209.33/209.65 [2860]~E(x28601,x28602)+E(f593(x28601,x28603),f593(x28602,x28603)) % 209.33/209.65 [2861]~E(x28611,x28612)+E(f593(x28613,x28611),f593(x28613,x28612)) % 209.33/209.65 [2862]~E(x28621,x28622)+E(f426(x28621,x28623),f426(x28622,x28623)) % 209.33/209.65 [2863]~E(x28631,x28632)+E(f426(x28633,x28631),f426(x28633,x28632)) % 209.33/209.65 [2864]~E(x28641,x28642)+E(f805(x28641,x28643,x28644),f805(x28642,x28643,x28644)) % 209.33/209.65 [2865]~E(x28651,x28652)+E(f805(x28653,x28651,x28654),f805(x28653,x28652,x28654)) % 209.33/209.65 [2866]~E(x28661,x28662)+E(f805(x28663,x28664,x28661),f805(x28663,x28664,x28662)) % 209.33/209.65 [2867]~E(x28671,x28672)+E(f578(x28671,x28673),f578(x28672,x28673)) % 209.33/209.65 [2868]~E(x28681,x28682)+E(f578(x28683,x28681),f578(x28683,x28682)) % 209.33/209.65 [2869]~E(x28691,x28692)+E(f131(x28691),f131(x28692)) % 209.33/209.65 [2870]~E(x28701,x28702)+E(f368(x28701,x28703,x28704),f368(x28702,x28703,x28704)) % 209.33/209.65 [2871]~E(x28711,x28712)+E(f368(x28713,x28711,x28714),f368(x28713,x28712,x28714)) % 209.33/209.65 [2872]~E(x28721,x28722)+E(f368(x28723,x28724,x28721),f368(x28723,x28724,x28722)) % 209.33/209.65 [2873]~E(x28731,x28732)+E(f343(x28731),f343(x28732)) % 209.33/209.65 [2874]~E(x28741,x28742)+E(f901(x28741,x28743,x28744,x28745),f901(x28742,x28743,x28744,x28745)) % 209.33/209.65 [2875]~E(x28751,x28752)+E(f901(x28753,x28751,x28754,x28755),f901(x28753,x28752,x28754,x28755)) % 209.33/209.65 [2876]~E(x28761,x28762)+E(f901(x28763,x28764,x28761,x28765),f901(x28763,x28764,x28762,x28765)) % 209.33/209.65 [2877]~E(x28771,x28772)+E(f901(x28773,x28774,x28775,x28771),f901(x28773,x28774,x28775,x28772)) % 209.33/209.65 [2878]~P1(x28781)+P1(x28782)+~E(x28781,x28782) % 209.33/209.65 [2879]~P106(x28791)+P106(x28792)+~E(x28791,x28792) % 209.33/209.65 [2880]P12(x28802,x28803,x28804,x28805,x28806,x28807)+~E(x28801,x28802)+~P12(x28801,x28803,x28804,x28805,x28806,x28807) % 209.33/209.65 [2881]P12(x28813,x28812,x28814,x28815,x28816,x28817)+~E(x28811,x28812)+~P12(x28813,x28811,x28814,x28815,x28816,x28817) % 209.33/209.65 [2882]P12(x28823,x28824,x28822,x28825,x28826,x28827)+~E(x28821,x28822)+~P12(x28823,x28824,x28821,x28825,x28826,x28827) % 209.33/209.65 [2883]P12(x28833,x28834,x28835,x28832,x28836,x28837)+~E(x28831,x28832)+~P12(x28833,x28834,x28835,x28831,x28836,x28837) % 209.33/209.65 [2884]P12(x28843,x28844,x28845,x28846,x28842,x28847)+~E(x28841,x28842)+~P12(x28843,x28844,x28845,x28846,x28841,x28847) % 209.33/209.65 [2885]P12(x28853,x28854,x28855,x28856,x28857,x28852)+~E(x28851,x28852)+~P12(x28853,x28854,x28855,x28856,x28857,x28851) % 209.33/209.65 [2886]~P2(x28861)+P2(x28862)+~E(x28861,x28862) % 209.33/209.65 [2887]~P108(x28871)+P108(x28872)+~E(x28871,x28872) % 209.33/209.65 [2888]~P117(x28881)+P117(x28882)+~E(x28881,x28882) % 209.33/209.65 [2889]~P100(x28891)+P100(x28892)+~E(x28891,x28892) % 209.33/209.65 [2890]~P107(x28901)+P107(x28902)+~E(x28901,x28902) % 209.33/209.65 [2891]~P63(x28911)+P63(x28912)+~E(x28911,x28912) % 209.33/209.65 [2892]~P126(x28921)+P126(x28922)+~E(x28921,x28922) % 209.33/209.65 [2893]~P67(x28931)+P67(x28932)+~E(x28931,x28932) % 209.33/209.65 [2894]~P109(x28941)+P109(x28942)+~E(x28941,x28942) % 209.33/209.65 [2895]~P83(x28951)+P83(x28952)+~E(x28951,x28952) % 209.33/209.65 [2896]~P102(x28961)+P102(x28962)+~E(x28961,x28962) % 209.33/209.65 [2897]~P122(x28971)+P122(x28972)+~E(x28971,x28972) % 209.33/209.65 [2898]P13(x28982,x28983)+~E(x28981,x28982)+~P13(x28981,x28983) % 209.33/209.65 [2899]P13(x28993,x28992)+~E(x28991,x28992)+~P13(x28993,x28991) % 209.33/209.65 [2900]~P75(x29001)+P75(x29002)+~E(x29001,x29002) % 209.33/209.65 [2901]~P125(x29011)+P125(x29012)+~E(x29011,x29012) % 209.33/209.65 [2902]~P110(x29021)+P110(x29022)+~E(x29021,x29022) % 209.33/209.65 [2903]P147(x29032,x29033,x29034)+~E(x29031,x29032)+~P147(x29031,x29033,x29034) % 209.33/209.65 [2904]P147(x29043,x29042,x29044)+~E(x29041,x29042)+~P147(x29043,x29041,x29044) % 209.33/209.65 [2905]P147(x29053,x29054,x29052)+~E(x29051,x29052)+~P147(x29053,x29054,x29051) % 209.33/209.65 [2906]~P93(x29061)+P93(x29062)+~E(x29061,x29062) % 209.33/209.65 [2907]~P68(x29071)+P68(x29072)+~E(x29071,x29072) % 209.33/209.65 [2908]~P111(x29081)+P111(x29082)+~E(x29081,x29082) % 209.33/209.65 [2909]~P78(x29091)+P78(x29092)+~E(x29091,x29092) % 209.33/209.65 [2910]~P82(x29101)+P82(x29102)+~E(x29101,x29102) % 209.33/209.65 [2911]~P145(x29111)+P145(x29112)+~E(x29111,x29112) % 209.33/209.65 [2912]~P90(x29121)+P90(x29122)+~E(x29121,x29122) % 209.33/209.65 [2913]~P3(x29131)+P3(x29132)+~E(x29131,x29132) % 209.33/209.65 [2914]~P4(x29141)+P4(x29142)+~E(x29141,x29142) % 209.33/209.65 [2915]~P5(x29151)+P5(x29152)+~E(x29151,x29152) % 209.33/209.65 [2916]~P69(x29161)+P69(x29162)+~E(x29161,x29162) % 209.33/209.65 [2917]~P140(x29171)+P140(x29172)+~E(x29171,x29172) % 209.33/209.65 [2918]~P94(x29181)+P94(x29182)+~E(x29181,x29182) % 209.33/209.65 [2919]~P112(x29191)+P112(x29192)+~E(x29191,x29192) % 209.33/209.65 [2920]~P121(x29201)+P121(x29202)+~E(x29201,x29202) % 209.33/209.65 [2921]~P96(x29211)+P96(x29212)+~E(x29211,x29212) % 209.33/209.65 [2922]P37(x29222,x29223)+~E(x29221,x29222)+~P37(x29221,x29223) % 209.33/209.65 [2923]P37(x29233,x29232)+~E(x29231,x29232)+~P37(x29233,x29231) % 209.33/209.65 [2924]P52(x29242,x29243)+~E(x29241,x29242)+~P52(x29241,x29243) % 209.33/209.65 [2925]P52(x29253,x29252)+~E(x29251,x29252)+~P52(x29253,x29251) % 209.33/209.65 [2926]~P101(x29261)+P101(x29262)+~E(x29261,x29262) % 209.33/209.65 [2927]~P81(x29271)+P81(x29272)+~E(x29271,x29272) % 209.33/209.65 [2928]P31(x29282,x29283,x29284)+~E(x29281,x29282)+~P31(x29281,x29283,x29284) % 209.33/209.65 [2929]P31(x29293,x29292,x29294)+~E(x29291,x29292)+~P31(x29293,x29291,x29294) % 209.33/209.65 [2930]P31(x29303,x29304,x29302)+~E(x29301,x29302)+~P31(x29303,x29304,x29301) % 209.33/209.65 [2931]~P97(x29311)+P97(x29312)+~E(x29311,x29312) % 209.33/209.65 [2932]~P99(x29321)+P99(x29322)+~E(x29321,x29322) % 209.33/209.65 [2933]P148(x29332,x29333,x29334)+~E(x29331,x29332)+~P148(x29331,x29333,x29334) % 209.33/209.65 [2934]P148(x29343,x29342,x29344)+~E(x29341,x29342)+~P148(x29343,x29341,x29344) % 209.33/209.65 [2935]P148(x29353,x29354,x29352)+~E(x29351,x29352)+~P148(x29353,x29354,x29351) % 209.33/209.65 [2936]~P135(x29361)+P135(x29362)+~E(x29361,x29362) % 209.33/209.65 [2937]~P62(x29371)+P62(x29372)+~E(x29371,x29372) % 209.33/209.65 [2938]~P130(x29381)+P130(x29382)+~E(x29381,x29382) % 209.33/209.65 [2939]P18(x29392,x29393,x29394)+~E(x29391,x29392)+~P18(x29391,x29393,x29394) % 209.33/209.65 [2940]P18(x29403,x29402,x29404)+~E(x29401,x29402)+~P18(x29403,x29401,x29404) % 209.33/209.65 [2941]P18(x29413,x29414,x29412)+~E(x29411,x29412)+~P18(x29413,x29414,x29411) % 209.33/209.65 [2942]~P146(x29421)+P146(x29422)+~E(x29421,x29422) % 209.33/209.65 [2943]P35(x29432,x29433,x29434)+~E(x29431,x29432)+~P35(x29431,x29433,x29434) % 209.33/209.65 [2944]P35(x29443,x29442,x29444)+~E(x29441,x29442)+~P35(x29443,x29441,x29444) % 209.33/209.65 [2945]P35(x29453,x29454,x29452)+~E(x29451,x29452)+~P35(x29453,x29454,x29451) % 209.33/209.65 [2946]~P61(x29461)+P61(x29462)+~E(x29461,x29462) % 209.33/209.65 [2947]P25(x29472,x29473,x29474,x29475)+~E(x29471,x29472)+~P25(x29471,x29473,x29474,x29475) % 209.33/209.65 [2948]P25(x29483,x29482,x29484,x29485)+~E(x29481,x29482)+~P25(x29483,x29481,x29484,x29485) % 209.33/209.65 [2949]P25(x29493,x29494,x29492,x29495)+~E(x29491,x29492)+~P25(x29493,x29494,x29491,x29495) % 209.33/209.65 [2950]P25(x29503,x29504,x29505,x29502)+~E(x29501,x29502)+~P25(x29503,x29504,x29505,x29501) % 209.33/209.65 [2951]~P79(x29511)+P79(x29512)+~E(x29511,x29512) % 209.33/209.65 [2952]P56(x29522,x29523,x29524)+~E(x29521,x29522)+~P56(x29521,x29523,x29524) % 209.33/209.65 [2953]P56(x29533,x29532,x29534)+~E(x29531,x29532)+~P56(x29533,x29531,x29534) % 209.33/209.65 [2954]P56(x29543,x29544,x29542)+~E(x29541,x29542)+~P56(x29543,x29544,x29541) % 209.33/209.65 [2955]P53(x29552,x29553,x29554)+~E(x29551,x29552)+~P53(x29551,x29553,x29554) % 209.33/209.65 [2956]P53(x29563,x29562,x29564)+~E(x29561,x29562)+~P53(x29563,x29561,x29564) % 209.33/209.65 [2957]P53(x29573,x29574,x29572)+~E(x29571,x29572)+~P53(x29573,x29574,x29571) % 209.33/209.65 [2958]~P71(x29581)+P71(x29582)+~E(x29581,x29582) % 209.33/209.65 [2959]P38(x29592,x29593)+~E(x29591,x29592)+~P38(x29591,x29593) % 209.33/209.65 [2960]P38(x29603,x29602)+~E(x29601,x29602)+~P38(x29603,x29601) % 209.33/209.65 [2961]P34(x29612,x29613,x29614,x29615,x29616)+~E(x29611,x29612)+~P34(x29611,x29613,x29614,x29615,x29616) % 209.33/209.65 [2962]P34(x29623,x29622,x29624,x29625,x29626)+~E(x29621,x29622)+~P34(x29623,x29621,x29624,x29625,x29626) % 209.33/209.65 [2963]P34(x29633,x29634,x29632,x29635,x29636)+~E(x29631,x29632)+~P34(x29633,x29634,x29631,x29635,x29636) % 209.33/209.65 [2964]P34(x29643,x29644,x29645,x29642,x29646)+~E(x29641,x29642)+~P34(x29643,x29644,x29645,x29641,x29646) % 209.33/209.65 [2965]P34(x29653,x29654,x29655,x29656,x29652)+~E(x29651,x29652)+~P34(x29653,x29654,x29655,x29656,x29651) % 209.33/209.65 [2966]~P80(x29661)+P80(x29662)+~E(x29661,x29662) % 209.33/209.65 [2967]P7(x29672,x29673)+~E(x29671,x29672)+~P7(x29671,x29673) % 209.33/209.65 [2968]P7(x29683,x29682)+~E(x29681,x29682)+~P7(x29683,x29681) % 209.33/209.65 [2969]~P139(x29691)+P139(x29692)+~E(x29691,x29692) % 209.33/209.65 [2970]P59(x29702,x29703,x29704,x29705)+~E(x29701,x29702)+~P59(x29701,x29703,x29704,x29705) % 209.33/209.65 [2971]P59(x29713,x29712,x29714,x29715)+~E(x29711,x29712)+~P59(x29713,x29711,x29714,x29715) % 209.33/209.65 [2972]P59(x29723,x29724,x29722,x29725)+~E(x29721,x29722)+~P59(x29723,x29724,x29721,x29725) % 209.33/209.65 [2973]P59(x29733,x29734,x29735,x29732)+~E(x29731,x29732)+~P59(x29733,x29734,x29735,x29731) % 209.33/209.65 [2974]P39(x29742,x29743)+~E(x29741,x29742)+~P39(x29741,x29743) % 209.33/209.65 [2975]P39(x29753,x29752)+~E(x29751,x29752)+~P39(x29753,x29751) % 209.33/209.65 [2976]P8(x29762,x29763,x29764)+~E(x29761,x29762)+~P8(x29761,x29763,x29764) % 209.33/209.65 [2977]P8(x29773,x29772,x29774)+~E(x29771,x29772)+~P8(x29773,x29771,x29774) % 209.33/209.65 [2978]P8(x29783,x29784,x29782)+~E(x29781,x29782)+~P8(x29783,x29784,x29781) % 209.33/209.65 [2979]P20(x29792,x29793,x29794,x29795)+~E(x29791,x29792)+~P20(x29791,x29793,x29794,x29795) % 209.33/209.65 [2980]P20(x29803,x29802,x29804,x29805)+~E(x29801,x29802)+~P20(x29803,x29801,x29804,x29805) % 209.33/209.65 [2981]P20(x29813,x29814,x29812,x29815)+~E(x29811,x29812)+~P20(x29813,x29814,x29811,x29815) % 209.33/209.65 [2982]P20(x29823,x29824,x29825,x29822)+~E(x29821,x29822)+~P20(x29823,x29824,x29825,x29821) % 209.33/209.65 [2983]~P113(x29831)+P113(x29832)+~E(x29831,x29832) % 209.33/209.65 [2984]~P114(x29841)+P114(x29842)+~E(x29841,x29842) % 209.33/209.65 [2985]~P116(x29851)+P116(x29852)+~E(x29851,x29852) % 209.33/209.65 [2986]~P119(x29861)+P119(x29862)+~E(x29861,x29862) % 209.33/209.65 [2987]P16(x29872,x29873,x29874)+~E(x29871,x29872)+~P16(x29871,x29873,x29874) % 209.33/209.65 [2988]P16(x29883,x29882,x29884)+~E(x29881,x29882)+~P16(x29883,x29881,x29884) % 209.33/209.65 [2989]P16(x29893,x29894,x29892)+~E(x29891,x29892)+~P16(x29893,x29894,x29891) % 209.33/209.65 [2990]~P72(x29901)+P72(x29902)+~E(x29901,x29902) % 209.33/209.65 [2991]P57(x29912,x29913,x29914,x29915,x29916)+~E(x29911,x29912)+~P57(x29911,x29913,x29914,x29915,x29916) % 209.33/209.65 [2992]P57(x29923,x29922,x29924,x29925,x29926)+~E(x29921,x29922)+~P57(x29923,x29921,x29924,x29925,x29926) % 209.33/209.65 [2993]P57(x29933,x29934,x29932,x29935,x29936)+~E(x29931,x29932)+~P57(x29933,x29934,x29931,x29935,x29936) % 209.33/209.65 [2994]P57(x29943,x29944,x29945,x29942,x29946)+~E(x29941,x29942)+~P57(x29943,x29944,x29945,x29941,x29946) % 209.33/209.65 [2995]P57(x29953,x29954,x29955,x29956,x29952)+~E(x29951,x29952)+~P57(x29953,x29954,x29955,x29956,x29951) % 209.33/209.65 [2996]P11(x29962,x29963,x29964,x29965)+~E(x29961,x29962)+~P11(x29961,x29963,x29964,x29965) % 209.33/209.65 [2997]P11(x29973,x29972,x29974,x29975)+~E(x29971,x29972)+~P11(x29973,x29971,x29974,x29975) % 209.33/209.65 [2998]P11(x29983,x29984,x29982,x29985)+~E(x29981,x29982)+~P11(x29983,x29984,x29981,x29985) % 209.33/209.65 [2999]P11(x29993,x29994,x29995,x29992)+~E(x29991,x29992)+~P11(x29993,x29994,x29995,x29991) % 209.33/209.65 [3000]~P73(x30001)+P73(x30002)+~E(x30001,x30002) % 209.33/209.65 [3001]P30(x30012,x30013,x30014)+~E(x30011,x30012)+~P30(x30011,x30013,x30014) % 209.33/209.65 [3002]P30(x30023,x30022,x30024)+~E(x30021,x30022)+~P30(x30023,x30021,x30024) % 209.33/209.65 [3003]P30(x30033,x30034,x30032)+~E(x30031,x30032)+~P30(x30033,x30034,x30031) % 209.33/209.65 [3004]P33(x30042,x30043,x30044)+~E(x30041,x30042)+~P33(x30041,x30043,x30044) % 209.33/209.65 [3005]P33(x30053,x30052,x30054)+~E(x30051,x30052)+~P33(x30053,x30051,x30054) % 209.33/209.65 [3006]P33(x30063,x30064,x30062)+~E(x30061,x30062)+~P33(x30063,x30064,x30061) % 209.33/209.65 [3007]~P70(x30071)+P70(x30072)+~E(x30071,x30072) % 209.33/209.65 [3008]~P95(x30081)+P95(x30082)+~E(x30081,x30082) % 209.33/209.65 [3009]~P85(x30091)+P85(x30092)+~E(x30091,x30092) % 209.33/209.65 [3010]P26(x30102,x30103,x30104,x30105,x30106)+~E(x30101,x30102)+~P26(x30101,x30103,x30104,x30105,x30106) % 209.33/209.65 [3011]P26(x30113,x30112,x30114,x30115,x30116)+~E(x30111,x30112)+~P26(x30113,x30111,x30114,x30115,x30116) % 209.33/209.65 [3012]P26(x30123,x30124,x30122,x30125,x30126)+~E(x30121,x30122)+~P26(x30123,x30124,x30121,x30125,x30126) % 209.33/209.65 [3013]P26(x30133,x30134,x30135,x30132,x30136)+~E(x30131,x30132)+~P26(x30133,x30134,x30135,x30131,x30136) % 209.33/209.65 [3014]P26(x30143,x30144,x30145,x30146,x30142)+~E(x30141,x30142)+~P26(x30143,x30144,x30145,x30146,x30141) % 209.33/209.65 [3015]~P40(x30151)+P40(x30152)+~E(x30151,x30152) % 209.33/209.65 [3016]~P6(x30161)+P6(x30162)+~E(x30161,x30162) % 209.33/209.65 [3017]~P84(x30171)+P84(x30172)+~E(x30171,x30172) % 209.33/209.65 [3018]P58(x30182,x30183)+~E(x30181,x30182)+~P58(x30181,x30183) % 209.33/209.65 [3019]P58(x30193,x30192)+~E(x30191,x30192)+~P58(x30193,x30191) % 209.33/209.65 [3020]P23(x30202,x30203,x30204,x30205,x30206,x30207)+~E(x30201,x30202)+~P23(x30201,x30203,x30204,x30205,x30206,x30207) % 209.33/209.65 [3021]P23(x30213,x30212,x30214,x30215,x30216,x30217)+~E(x30211,x30212)+~P23(x30213,x30211,x30214,x30215,x30216,x30217) % 209.33/209.65 [3022]P23(x30223,x30224,x30222,x30225,x30226,x30227)+~E(x30221,x30222)+~P23(x30223,x30224,x30221,x30225,x30226,x30227) % 209.33/209.65 [3023]P23(x30233,x30234,x30235,x30232,x30236,x30237)+~E(x30231,x30232)+~P23(x30233,x30234,x30235,x30231,x30236,x30237) % 209.33/209.65 [3024]P23(x30243,x30244,x30245,x30246,x30242,x30247)+~E(x30241,x30242)+~P23(x30243,x30244,x30245,x30246,x30241,x30247) % 209.33/209.65 [3025]P23(x30253,x30254,x30255,x30256,x30257,x30252)+~E(x30251,x30252)+~P23(x30253,x30254,x30255,x30256,x30257,x30251) % 209.33/209.65 [3026]~P86(x30261)+P86(x30262)+~E(x30261,x30262) % 209.33/209.65 [3027]P43(x30272,x30273)+~E(x30271,x30272)+~P43(x30271,x30273) % 209.33/209.65 [3028]P43(x30283,x30282)+~E(x30281,x30282)+~P43(x30283,x30281) % 209.33/209.65 [3029]~P129(x30291)+P129(x30292)+~E(x30291,x30292) % 209.33/209.65 [3030]P14(x30302,x30303,x30304)+~E(x30301,x30302)+~P14(x30301,x30303,x30304) % 209.33/209.65 [3031]P14(x30313,x30312,x30314)+~E(x30311,x30312)+~P14(x30313,x30311,x30314) % 209.33/209.65 [3032]P14(x30323,x30324,x30322)+~E(x30321,x30322)+~P14(x30323,x30324,x30321) % 209.33/209.65 [3033]P29(x30332,x30333,x30334)+~E(x30331,x30332)+~P29(x30331,x30333,x30334) % 209.33/209.65 [3034]P29(x30343,x30342,x30344)+~E(x30341,x30342)+~P29(x30343,x30341,x30344) % 209.33/209.65 [3035]P29(x30353,x30354,x30352)+~E(x30351,x30352)+~P29(x30353,x30354,x30351) % 209.33/209.65 [3036]~P66(x30361)+P66(x30362)+~E(x30361,x30362) % 209.33/209.65 [3037]~P141(x30371)+P141(x30372)+~E(x30371,x30372) % 209.33/209.65 [3038]~P65(x30381)+P65(x30382)+~E(x30381,x30382) % 209.33/209.65 [3039]P17(x30392,x30393,x30394)+~E(x30391,x30392)+~P17(x30391,x30393,x30394) % 209.33/209.65 [3040]P17(x30403,x30402,x30404)+~E(x30401,x30402)+~P17(x30403,x30401,x30404) % 209.33/209.65 [3041]P17(x30413,x30414,x30412)+~E(x30411,x30412)+~P17(x30413,x30414,x30411) % 209.33/209.65 [3042]~P143(x30421)+P143(x30422)+~E(x30421,x30422) % 209.33/209.65 [3043]~P64(x30431)+P64(x30432)+~E(x30431,x30432) % 209.33/209.65 [3044]~P128(x30441)+P128(x30442)+~E(x30441,x30442) % 209.33/209.65 [3045]~P76(x30451)+P76(x30452)+~E(x30451,x30452) % 209.33/209.65 [3046]P19(x30462,x30463,x30464,x30465)+~E(x30461,x30462)+~P19(x30461,x30463,x30464,x30465) % 209.33/209.65 [3047]P19(x30473,x30472,x30474,x30475)+~E(x30471,x30472)+~P19(x30473,x30471,x30474,x30475) % 209.33/209.65 [3048]P19(x30483,x30484,x30482,x30485)+~E(x30481,x30482)+~P19(x30483,x30484,x30481,x30485) % 209.33/209.65 [3049]P19(x30493,x30494,x30495,x30492)+~E(x30491,x30492)+~P19(x30493,x30494,x30495,x30491) % 209.33/209.65 [3050]~P137(x30501)+P137(x30502)+~E(x30501,x30502) % 209.33/209.65 [3051]~P77(x30511)+P77(x30512)+~E(x30511,x30512) % 209.33/209.65 [3052]~P91(x30521)+P91(x30522)+~E(x30521,x30522) % 209.33/209.65 [3053]~P88(x30531)+P88(x30532)+~E(x30531,x30532) % 209.33/209.65 [3054]P50(x30542,x30543)+~E(x30541,x30542)+~P50(x30541,x30543) % 209.33/209.65 [3055]P50(x30553,x30552)+~E(x30551,x30552)+~P50(x30553,x30551) % 209.33/209.65 [3056]~P87(x30561)+P87(x30562)+~E(x30561,x30562) % 209.33/209.65 [3057]P15(x30572,x30573)+~E(x30571,x30572)+~P15(x30571,x30573) % 209.33/209.65 [3058]P15(x30583,x30582)+~E(x30581,x30582)+~P15(x30583,x30581) % 209.33/209.65 [3059]P48(x30592,x30593)+~E(x30591,x30592)+~P48(x30591,x30593) % 209.33/209.65 [3060]P48(x30603,x30602)+~E(x30601,x30602)+~P48(x30603,x30601) % 209.33/209.65 [3061]P27(x30612,x30613)+~E(x30611,x30612)+~P27(x30611,x30613) % 209.33/209.65 [3062]P27(x30623,x30622)+~E(x30621,x30622)+~P27(x30623,x30621) % 209.33/209.65 [3063]P28(x30632,x30633)+~E(x30631,x30632)+~P28(x30631,x30633) % 209.33/209.65 [3064]P28(x30643,x30642)+~E(x30641,x30642)+~P28(x30643,x30641) % 209.33/209.65 [3065]~P103(x30651)+P103(x30652)+~E(x30651,x30652) % 209.33/209.65 [3066]~P127(x30661)+P127(x30662)+~E(x30661,x30662) % 209.33/209.65 [3067]P60(x30672,x30673)+~E(x30671,x30672)+~P60(x30671,x30673) % 209.33/209.65 [3068]P60(x30683,x30682)+~E(x30681,x30682)+~P60(x30683,x30681) % 209.33/209.65 [3069]~P120(x30691)+P120(x30692)+~E(x30691,x30692) % 209.33/209.65 [3070]~P142(x30701)+P142(x30702)+~E(x30701,x30702) % 209.33/209.65 [3071]~P134(x30711)+P134(x30712)+~E(x30711,x30712) % 209.33/209.65 [3072]P55(x30722,x30723,x30724)+~E(x30721,x30722)+~P55(x30721,x30723,x30724) % 209.33/209.65 [3073]P55(x30733,x30732,x30734)+~E(x30731,x30732)+~P55(x30733,x30731,x30734) % 209.33/209.65 [3074]P55(x30743,x30744,x30742)+~E(x30741,x30742)+~P55(x30743,x30744,x30741) % 209.33/209.65 [3075]P32(x30752,x30753,x30754,x30755)+~E(x30751,x30752)+~P32(x30751,x30753,x30754,x30755) % 209.33/209.65 [3076]P32(x30763,x30762,x30764,x30765)+~E(x30761,x30762)+~P32(x30763,x30761,x30764,x30765) % 209.33/209.65 [3077]P32(x30773,x30774,x30772,x30775)+~E(x30771,x30772)+~P32(x30773,x30774,x30771,x30775) % 209.33/209.65 [3078]P32(x30783,x30784,x30785,x30782)+~E(x30781,x30782)+~P32(x30783,x30784,x30785,x30781) % 209.33/209.65 [3079]~P144(x30791)+P144(x30792)+~E(x30791,x30792) % 209.33/209.65 [3080]~P92(x30801)+P92(x30802)+~E(x30801,x30802) % 209.33/209.65 [3081]P21(x30812,x30813,x30814,x30815,x30816)+~E(x30811,x30812)+~P21(x30811,x30813,x30814,x30815,x30816) % 209.33/209.65 [3082]P21(x30823,x30822,x30824,x30825,x30826)+~E(x30821,x30822)+~P21(x30823,x30821,x30824,x30825,x30826) % 209.33/209.65 [3083]P21(x30833,x30834,x30832,x30835,x30836)+~E(x30831,x30832)+~P21(x30833,x30834,x30831,x30835,x30836) % 209.33/209.65 [3084]P21(x30843,x30844,x30845,x30842,x30846)+~E(x30841,x30842)+~P21(x30843,x30844,x30845,x30841,x30846) % 209.33/209.65 [3085]P21(x30853,x30854,x30855,x30856,x30852)+~E(x30851,x30852)+~P21(x30853,x30854,x30855,x30856,x30851) % 209.33/209.65 [3086]P51(x30862,x30863)+~E(x30861,x30862)+~P51(x30861,x30863) % 209.33/209.65 [3087]P51(x30873,x30872)+~E(x30871,x30872)+~P51(x30873,x30871) % 209.33/209.65 [3088]P42(x30882,x30883,x30884,x30885,x30886,x30887)+~E(x30881,x30882)+~P42(x30881,x30883,x30884,x30885,x30886,x30887) % 209.33/209.65 [3089]P42(x30893,x30892,x30894,x30895,x30896,x30897)+~E(x30891,x30892)+~P42(x30893,x30891,x30894,x30895,x30896,x30897) % 209.33/209.65 [3090]P42(x30903,x30904,x30902,x30905,x30906,x30907)+~E(x30901,x30902)+~P42(x30903,x30904,x30901,x30905,x30906,x30907) % 209.33/209.65 [3091]P42(x30913,x30914,x30915,x30912,x30916,x30917)+~E(x30911,x30912)+~P42(x30913,x30914,x30915,x30911,x30916,x30917) % 209.33/209.65 [3092]P42(x30923,x30924,x30925,x30926,x30922,x30927)+~E(x30921,x30922)+~P42(x30923,x30924,x30925,x30926,x30921,x30927) % 209.33/209.65 [3093]P42(x30933,x30934,x30935,x30936,x30937,x30932)+~E(x30931,x30932)+~P42(x30933,x30934,x30935,x30936,x30937,x30931) % 209.33/209.65 [3094]P24(x30942,x30943,x30944)+~E(x30941,x30942)+~P24(x30941,x30943,x30944) % 209.33/209.65 [3095]P24(x30953,x30952,x30954)+~E(x30951,x30952)+~P24(x30953,x30951,x30954) % 209.33/209.65 [3096]P24(x30963,x30964,x30962)+~E(x30961,x30962)+~P24(x30963,x30964,x30961) % 209.33/209.65 [3097]P46(x30972,x30973,x30974)+~E(x30971,x30972)+~P46(x30971,x30973,x30974) % 209.33/209.65 [3098]P46(x30983,x30982,x30984)+~E(x30981,x30982)+~P46(x30983,x30981,x30984) % 209.33/209.65 [3099]P46(x30993,x30994,x30992)+~E(x30991,x30992)+~P46(x30993,x30994,x30991) % 209.33/209.65 [3100]~P115(x31001)+P115(x31002)+~E(x31001,x31002) % 209.33/209.65 [3101]P49(x31012,x31013,x31014,x31015)+~E(x31011,x31012)+~P49(x31011,x31013,x31014,x31015) % 209.33/209.65 [3102]P49(x31023,x31022,x31024,x31025)+~E(x31021,x31022)+~P49(x31023,x31021,x31024,x31025) % 209.33/209.65 [3103]P49(x31033,x31034,x31032,x31035)+~E(x31031,x31032)+~P49(x31033,x31034,x31031,x31035) % 209.33/209.65 [3104]P49(x31043,x31044,x31045,x31042)+~E(x31041,x31042)+~P49(x31043,x31044,x31045,x31041) % 209.33/209.65 [3105]P22(x31052,x31053,x31054,x31055,x31056,x31057)+~E(x31051,x31052)+~P22(x31051,x31053,x31054,x31055,x31056,x31057) % 209.33/209.65 [3106]P22(x31063,x31062,x31064,x31065,x31066,x31067)+~E(x31061,x31062)+~P22(x31063,x31061,x31064,x31065,x31066,x31067) % 209.33/209.65 [3107]P22(x31073,x31074,x31072,x31075,x31076,x31077)+~E(x31071,x31072)+~P22(x31073,x31074,x31071,x31075,x31076,x31077) % 209.33/209.65 [3108]P22(x31083,x31084,x31085,x31082,x31086,x31087)+~E(x31081,x31082)+~P22(x31083,x31084,x31085,x31081,x31086,x31087) % 209.33/209.65 [3109]P22(x31093,x31094,x31095,x31096,x31092,x31097)+~E(x31091,x31092)+~P22(x31093,x31094,x31095,x31096,x31091,x31097) % 209.33/209.65 [3110]P22(x31103,x31104,x31105,x31106,x31107,x31102)+~E(x31101,x31102)+~P22(x31103,x31104,x31105,x31106,x31107,x31101) % 209.33/209.65 [3111]~P74(x31111)+P74(x31112)+~E(x31111,x31112) % 209.33/209.65 [3112]P47(x31122,x31123,x31124)+~E(x31121,x31122)+~P47(x31121,x31123,x31124) % 209.33/209.65 [3113]P47(x31133,x31132,x31134)+~E(x31131,x31132)+~P47(x31133,x31131,x31134) % 209.33/209.65 [3114]P47(x31143,x31144,x31142)+~E(x31141,x31142)+~P47(x31143,x31144,x31141) % 209.33/209.65 [3115]~P136(x31151)+P136(x31152)+~E(x31151,x31152) % 209.33/209.65 [3116]~P89(x31161)+P89(x31162)+~E(x31161,x31162) % 209.33/209.65 [3117]~P105(x31171)+P105(x31172)+~E(x31171,x31172) % 209.33/209.65 [3118]P54(x31182,x31183)+~E(x31181,x31182)+~P54(x31181,x31183) % 209.33/209.65 [3119]P54(x31193,x31192)+~E(x31191,x31192)+~P54(x31193,x31191) % 209.33/209.65 [3120]~P98(x31201)+P98(x31202)+~E(x31201,x31202) % 209.33/209.65 [3121]P41(x31212,x31213,x31214,x31215)+~E(x31211,x31212)+~P41(x31211,x31213,x31214,x31215) % 209.33/209.65 [3122]P41(x31223,x31222,x31224,x31225)+~E(x31221,x31222)+~P41(x31223,x31221,x31224,x31225) % 209.33/209.65 [3123]P41(x31233,x31234,x31232,x31235)+~E(x31231,x31232)+~P41(x31233,x31234,x31231,x31235) % 209.33/209.65 [3124]P41(x31243,x31244,x31245,x31242)+~E(x31241,x31242)+~P41(x31243,x31244,x31245,x31241) % 209.33/209.65 [3125]~P138(x31251)+P138(x31252)+~E(x31251,x31252) % 209.33/209.65 [3126]~P44(x31261)+P44(x31262)+~E(x31261,x31262) % 209.33/209.65 [3127]~P123(x31271)+P123(x31272)+~E(x31271,x31272) % 209.33/209.65 [3128]~P104(x31281)+P104(x31282)+~E(x31281,x31282) % 209.33/209.65 [3129]~P132(x31291)+P132(x31292)+~E(x31291,x31292) % 209.33/209.65 [3130]~P131(x31301)+P131(x31302)+~E(x31301,x31302) % 209.33/209.65 [3131]~P36(x31311)+P36(x31312)+~E(x31311,x31312) % 209.33/209.65 [3132]P10(x31322,x31323,x31324,x31325,x31326)+~E(x31321,x31322)+~P10(x31321,x31323,x31324,x31325,x31326) % 209.33/209.65 [3133]P10(x31333,x31332,x31334,x31335,x31336)+~E(x31331,x31332)+~P10(x31333,x31331,x31334,x31335,x31336) % 209.33/209.65 [3134]P10(x31343,x31344,x31342,x31345,x31346)+~E(x31341,x31342)+~P10(x31343,x31344,x31341,x31345,x31346) % 209.33/209.65 [3135]P10(x31353,x31354,x31355,x31352,x31356)+~E(x31351,x31352)+~P10(x31353,x31354,x31355,x31351,x31356) % 209.33/209.65 [3136]P10(x31363,x31364,x31365,x31366,x31362)+~E(x31361,x31362)+~P10(x31363,x31364,x31365,x31366,x31361) % 209.33/209.65 [3137]~P118(x31371)+P118(x31372)+~E(x31371,x31372) % 209.33/209.65 [3138]~P133(x31381)+P133(x31382)+~E(x31381,x31382) % 209.33/209.65 [3139]~P124(x31391)+P124(x31392)+~E(x31391,x31392) % 209.33/209.65 [3140]P45(x31402,x31403)+~E(x31401,x31402)+~P45(x31401,x31403) % 209.33/209.65 [3141]P45(x31413,x31412)+~E(x31411,x31412)+~P45(x31413,x31411) % 209.33/209.65 [3142]P9(x31422,x31423,x31424)+~E(x31421,x31422)+~P9(x31421,x31423,x31424) % 209.33/209.65 [3143]P9(x31433,x31432,x31434)+~E(x31431,x31432)+~P9(x31433,x31431,x31434) % 209.33/209.65 [3144]P9(x31443,x31444,x31442)+~E(x31441,x31442)+~P9(x31443,x31444,x31441) % 209.33/209.65 % 209.33/209.65 %------------------------------------------- % 209.46/209.72 cnf(10490,plain, % 209.46/209.72 (~E(f335(a119,x104901),x104901)), % 209.46/209.72 inference(rename_variables,[],[4713])). % 209.46/209.72 cnf(10499,plain, % 209.46/209.72 (~E(f335(f175(x104991),f335(a119,f335(f175(x104991),x104992))),x104992)), % 209.46/209.72 inference(scs_inference,[],[4713,10490,3338,3378,3390,4781,4817,4843,4898,4902,4932,4947])). % 209.46/209.72 cnf(10500,plain, % 209.46/209.72 (~E(f335(a119,x105001),x105001)), % 209.46/209.72 inference(rename_variables,[],[4713])). % 209.46/209.72 cnf(10513,plain, % 209.46/209.72 (~E(f335(a119,x105131),x105131)), % 209.46/209.72 inference(rename_variables,[],[4713])). % 209.46/209.72 cnf(10518,plain, % 209.46/209.72 (~P106(f335(f335(f179(x105181),f120(x105181)),x105182))), % 209.46/209.72 inference(rename_variables,[],[4783])). % 209.46/209.72 cnf(10521,plain, % 209.46/209.72 (~P106(f335(f335(f179(x105211),f120(x105211)),x105212))), % 209.46/209.72 inference(rename_variables,[],[4783])). % 209.46/209.72 cnf(10524,plain, % 209.46/209.72 (~E(f335(a119,x105241),x105241)), % 209.46/209.72 inference(rename_variables,[],[4713])). % 209.46/209.72 cnf(10527,plain, % 209.46/209.72 (~E(f335(a119,x105271),x105271)), % 209.46/209.72 inference(rename_variables,[],[4713])). % 209.46/209.72 cnf(10530,plain, % 209.46/209.72 (~P106(f335(f335(f244(a927),x105301),f2(a927)))), % 209.46/209.72 inference(rename_variables,[],[4778])). % 209.46/209.72 cnf(10533,plain, % 209.46/209.72 (~P106(f335(f335(f244(a927),x105331),f2(a927)))), % 209.46/209.72 inference(rename_variables,[],[4778])). % 209.46/209.72 cnf(10550,plain, % 209.46/209.72 (~P106(f335(f335(f243(a927),f335(a119,x105501)),x105501))), % 209.46/209.72 inference(rename_variables,[],[4784])). % 209.46/209.72 cnf(10553,plain, % 209.46/209.72 (~E(f335(f335(f158(x105531),x105532),x105533),x105533)), % 209.46/209.72 inference(rename_variables,[],[4738])). % 209.46/209.72 cnf(10559,plain, % 209.46/209.72 (~P106(f335(f335(f244(a927),x105591),f2(a927)))), % 209.46/209.72 inference(rename_variables,[],[4778])). % 209.46/209.72 cnf(10562,plain, % 209.46/209.72 (E(f335(f292(x105621,x105621),f271(x105621,x105622)),x105622)), % 209.46/209.72 inference(rename_variables,[],[3510])). % 209.46/209.72 cnf(10565,plain, % 209.46/209.72 (E(f335(f292(x105651,x105651),f271(x105651,x105652)),x105652)), % 209.46/209.72 inference(rename_variables,[],[3510])). % 209.46/209.72 cnf(10570,plain, % 209.46/209.72 (~P106(f335(f335(f244(a927),x105701),x105701))), % 209.46/209.72 inference(rename_variables,[],[4774])). % 209.46/209.72 cnf(10575,plain, % 209.46/209.72 (~P106(f335(f335(f244(a927),f335(f335(f86(a927),x105751),x105752)),x105752))), % 209.46/209.72 inference(rename_variables,[],[4798])). % 209.46/209.72 cnf(10578,plain, % 209.46/209.72 (~P106(f335(f335(f244(a927),f335(f335(f86(a927),x105781),x105782)),x105782))), % 209.46/209.72 inference(rename_variables,[],[4798])). % 209.46/209.72 cnf(10585,plain, % 209.46/209.72 (~E(x105851,f335(a119,x105851))), % 209.46/209.72 inference(scs_inference,[],[4713,10490,10500,10513,10524,3338,3510,10562,3381,3447,3378,3408,3390,4738,3617,3533,4778,10530,10533,4775,4733,4783,10518,4774,4784,4373,4781,3526,4767,4800,4798,10575,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419])). % 209.46/209.72 cnf(10589,plain, % 209.46/209.72 (~P106(f335(f152(x105891,x105892),f335(f335(f260(f928(x105891),f928(x105891)),x105893),f120(x105891))))), % 209.46/209.72 inference(scs_inference,[],[4713,10490,10500,10513,10524,3338,3510,10562,3381,3447,3378,3408,3390,4738,4803,3617,3533,4778,10530,10533,4139,4775,4733,4783,10518,4774,4784,4373,4781,3526,4767,4800,4798,10575,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428])). % 209.46/209.72 cnf(10599,plain, % 209.46/209.72 (~P106(f335(f335(f244(a927),x105991),x105991))), % 209.46/209.72 inference(rename_variables,[],[4774])). % 209.46/209.72 cnf(10602,plain, % 209.46/209.72 (P106(f335(f335(f243(a927),f50(a927,x106021,x106022)),x106021))), % 209.46/209.72 inference(rename_variables,[],[4008])). % 209.46/209.72 cnf(10623,plain, % 209.46/209.72 (E(f335(f40(a927),f335(f290(a927),x106231)),x106231)), % 209.46/209.72 inference(rename_variables,[],[3445])). % 209.46/209.72 cnf(10631,plain, % 209.46/209.72 (~E(f335(a119,x106311),x106311)), % 209.46/209.72 inference(rename_variables,[],[4713])). % 209.46/209.72 cnf(10634,plain, % 209.46/209.72 (~E(f335(a119,x106341),x106341)), % 209.46/209.72 inference(rename_variables,[],[4713])). % 209.46/209.72 cnf(10637,plain, % 209.46/209.72 (~E(f335(a119,x106371),x106371)), % 209.46/209.72 inference(rename_variables,[],[4713])). % 209.46/209.72 cnf(10639,plain, % 209.46/209.72 (P106(f335(a200,a104))), % 209.46/209.72 inference(scs_inference,[],[4713,10490,10500,10513,10524,10527,10631,10634,3338,3510,10562,3381,3447,3378,3408,3390,3480,4738,3445,4803,3465,3617,3533,4778,10530,10533,4139,3552,4775,4733,4783,10518,4774,10570,10599,3642,4071,4008,4784,10550,4373,4781,4766,3526,4767,4800,4798,10575,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562])). % 209.46/209.72 cnf(10642,plain, % 209.46/209.72 (P106(f335(f335(f244(a927),x106421),f335(a119,x106421)))), % 209.46/209.72 inference(rename_variables,[],[3617])). % 209.46/209.72 cnf(10644,plain, % 209.46/209.72 (P106(f335(f335(f243(a927),x106441),f335(a119,x106441)))), % 209.46/209.72 inference(scs_inference,[],[4713,10490,10500,10513,10524,10527,10631,10634,3338,3510,10562,3381,3447,3378,3408,3390,3480,4738,3445,4803,3465,3617,3533,4778,10530,10533,4139,3552,4775,4733,4783,10518,4774,10570,10599,3642,4071,4008,4784,10550,4373,4781,4766,3526,4767,4800,4798,10575,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574])). % 209.46/209.72 cnf(10651,plain, % 209.46/209.72 (P106(f335(f335(f243(a927),x106511),x106511))), % 209.46/209.72 inference(rename_variables,[],[3549])). % 209.46/209.72 cnf(10658,plain, % 209.46/209.72 (E(f335(f292(x106581,x106581),f271(x106581,x106582)),x106582)), % 209.46/209.72 inference(rename_variables,[],[3510])). % 209.46/209.72 cnf(10661,plain, % 209.46/209.72 (E(f335(f292(x106611,x106611),f271(x106611,x106612)),x106612)), % 209.46/209.72 inference(rename_variables,[],[3510])). % 209.46/209.72 cnf(10678,plain, % 209.46/209.72 (P106(f335(f335(f243(a1),x106781),x106781))), % 209.46/209.72 inference(rename_variables,[],[3550])). % 209.46/209.72 cnf(10683,plain, % 209.46/209.72 (~P106(f335(f335(f244(a927),x106831),f2(a927)))), % 209.46/209.72 inference(rename_variables,[],[4778])). % 209.46/209.72 cnf(10686,plain, % 209.46/209.72 (P106(f335(f335(f243(f934(x106861,a922)),x106862),f250(f934(x106861,a922))))), % 209.46/209.72 inference(rename_variables,[],[3933])). % 209.46/209.72 cnf(10690,plain, % 209.46/209.72 (P106(f335(f335(f243(a1),f2(a1)),f424(f335(f179(x106901),f120(x106901)))))), % 209.46/209.72 inference(scs_inference,[],[4713,10490,10500,10513,10524,10527,10631,10634,3338,3510,10562,10565,10658,3381,3447,3378,3408,3390,3480,4738,3445,4332,4803,3465,3617,10642,3533,4778,10530,10533,10559,3990,4139,3578,3552,4775,4733,4783,10518,10521,4282,3933,3549,3550,4774,10570,10599,3642,4071,4008,10602,4784,10550,4373,4781,4766,3526,4767,4800,4032,4798,10575,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665])). % 209.46/209.72 cnf(10691,plain, % 209.46/209.72 (~P106(f335(f335(f179(x106911),f120(x106911)),x106912))), % 209.46/209.72 inference(rename_variables,[],[4783])). % 209.46/209.72 cnf(10720,plain, % 209.46/209.72 (~E(f335(f335(f158(x107201),x107202),x107203),x107203)), % 209.46/209.72 inference(rename_variables,[],[4738])). % 209.46/209.72 cnf(10723,plain, % 209.46/209.72 (~E(f335(a119,x107231),f2(a927))), % 209.46/209.72 inference(rename_variables,[],[4725])). % 209.46/209.72 cnf(10734,plain, % 209.46/209.72 (P106(f335(f335(f243(a1),x107341),x107341))), % 209.46/209.72 inference(rename_variables,[],[3550])). % 209.46/209.72 cnf(10739,plain, % 209.46/209.72 (~E(f335(a119,x107391),x107391)), % 209.46/209.72 inference(rename_variables,[],[4713])). % 209.46/209.72 cnf(10742,plain, % 209.46/209.72 (~P106(f335(f335(f195(f934(x107421,f934(x107422,a922))),x107423),x107424))), % 209.46/209.72 inference(rename_variables,[],[4801])). % 209.46/209.72 cnf(10749,plain, % 209.46/209.72 (P106(f335(f335(f243(a927),x107491),x107491))), % 209.46/209.72 inference(rename_variables,[],[3549])). % 209.46/209.72 cnf(10753,plain, % 209.46/209.72 (~E(f335(f175(x107531),f335(f335(f158(x107531),x107532),x107533)),f120(x107531))), % 209.46/209.72 inference(scs_inference,[],[4713,10490,10500,10513,10524,10527,10631,10634,10637,4725,3338,3510,10562,10565,10658,3381,3447,3378,3408,3390,3480,4738,10553,3445,4332,4803,3465,3915,3617,10642,3533,4778,10530,10533,10559,10683,3990,4139,3576,3578,3552,4775,4733,4783,10518,10521,4282,3933,3549,10651,3550,10678,4774,10570,10599,3642,4071,4008,10602,4784,10550,4373,4781,4766,3526,3530,4767,4800,4801,4032,4798,10575,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905])). % 209.46/209.72 cnf(10762,plain, % 209.46/209.72 (P106(f335(f335(f244(a927),x107621),f335(a119,x107621)))), % 209.46/209.72 inference(rename_variables,[],[3617])). % 209.46/209.72 cnf(10783,plain, % 209.46/209.72 (P106(f335(f335(f243(f934(x107831,a922)),x107832),f250(f934(x107831,a922))))), % 209.46/209.72 inference(rename_variables,[],[3933])). % 209.46/209.72 cnf(10786,plain, % 209.46/209.72 (~P106(f335(f335(f179(x107861),f120(x107861)),x107862))), % 209.46/209.72 inference(rename_variables,[],[4783])). % 209.46/209.72 cnf(10796,plain, % 209.46/209.72 (P106(f335(f335(f244(a927),x107961),f335(a119,f335(a119,x107961))))), % 209.46/209.72 inference(scs_inference,[],[4713,10490,10500,10513,10524,10527,10631,10634,10637,4725,3338,3510,10562,10565,10658,3381,3447,3378,3408,3390,4023,3480,4738,10553,3445,4332,4803,3465,3915,3617,10642,10762,3533,4778,10530,10533,10559,10683,3990,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,4282,3933,10686,3549,10651,10749,3550,10678,4774,10570,10599,3642,4071,4008,10602,4784,10550,4373,4781,4766,3526,3530,4768,4767,4800,4801,4032,4798,10575,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003])). % 209.46/209.72 cnf(10805,plain, % 209.46/209.72 (~P106(f335(f335(f179(x108051),f120(x108051)),x108052))), % 209.46/209.72 inference(rename_variables,[],[4783])). % 209.46/209.72 cnf(10811,plain, % 209.46/209.72 (E(f73(x108111,x108112,f335(f179(x108113),f120(x108113))),x108112)), % 209.46/209.72 inference(scs_inference,[],[4713,10490,10500,10513,10524,10527,10631,10634,10637,4725,3338,3510,10562,10565,10658,3381,3447,3378,3408,3390,4023,3480,4738,10553,3445,4332,4803,3465,3915,3617,10642,10762,3533,4778,10530,10533,10559,10683,4791,3990,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,4282,3933,10686,3549,10651,10749,3550,10678,4774,10570,10599,3642,4071,4008,10602,4784,10550,4373,4781,4766,3526,3530,4768,4767,4800,4801,4032,4798,10575,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054])). % 209.46/209.72 cnf(10812,plain, % 209.46/209.72 (~P106(f335(f335(f179(x108121),f120(x108121)),x108122))), % 209.46/209.72 inference(rename_variables,[],[4783])). % 209.46/209.72 cnf(10823,plain, % 209.46/209.72 (~E(f335(a119,x108231),f2(a927))), % 209.46/209.72 inference(rename_variables,[],[4725])). % 209.46/209.72 cnf(10828,plain, % 209.46/209.72 (P106(f335(f335(f337(x108281),x108282),f250(f934(x108281,a922))))), % 209.46/209.72 inference(rename_variables,[],[3702])). % 209.46/209.72 cnf(10832,plain, % 209.46/209.72 (P106(f335(f335(f244(a927),f2(a927)),f335(a111,f84(a1))))), % 209.46/209.72 inference(scs_inference,[],[4713,10490,10500,10513,10524,10527,10631,10634,10637,4725,10723,3338,3510,10562,10565,10658,3381,3447,3378,3408,3390,4023,3480,4738,10553,3445,4332,4803,3465,3915,3617,10642,10762,3533,4778,10530,10533,10559,10683,4791,3990,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,4282,3933,10686,3549,10651,10749,3550,10678,4774,10570,10599,3702,3642,4071,4008,10602,4784,10550,4373,4781,4766,3526,3530,4768,4767,4800,4801,4032,4798,10575,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141])). % 209.46/209.72 cnf(10835,plain, % 209.46/209.72 (~P106(f335(f335(f179(x108351),f120(x108351)),x108352))), % 209.46/209.72 inference(rename_variables,[],[4783])). % 209.46/209.72 cnf(10840,plain, % 209.46/209.72 (P106(f335(f335(f244(a927),x108401),f335(a119,x108401)))), % 209.46/209.72 inference(rename_variables,[],[3617])). % 209.46/209.72 cnf(10843,plain, % 209.46/209.72 (~P106(f335(f335(f179(x108431),f120(x108431)),x108432))), % 209.46/209.72 inference(rename_variables,[],[4783])). % 209.46/209.72 cnf(10846,plain, % 209.46/209.72 (~P106(f335(f335(f179(x108461),f120(x108461)),x108462))), % 209.46/209.72 inference(rename_variables,[],[4783])). % 209.46/209.72 cnf(10849,plain, % 209.46/209.72 (~P106(f335(f67(x108491,x108492,f195(f934(x108491,a922))),x108493))), % 209.46/209.72 inference(rename_variables,[],[4797])). % 209.46/209.72 cnf(10852,plain, % 209.46/209.72 (~P106(f335(f67(x108521,x108522,f195(f934(x108521,a922))),x108523))), % 209.46/209.72 inference(rename_variables,[],[4797])). % 209.46/209.72 cnf(10854,plain, % 209.46/209.72 (~P33(x108541,f335(f195(f934(x108542,f934(x108543,a922))),x108544),x108545)), % 209.46/209.72 inference(scs_inference,[],[4713,10490,10500,10513,10524,10527,10631,10634,10637,4725,10723,3338,3510,10562,10565,10658,3381,3447,3378,3408,3390,4023,3480,4738,10553,3445,4332,4803,3465,3915,3617,10642,10762,3533,4778,10530,10533,10559,10683,4791,3990,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,4282,3933,10686,3549,10651,10749,3550,10678,4774,10570,10599,3702,3642,4071,4008,10602,4784,10550,4373,4781,4766,3526,3530,4768,4767,4797,10849,4800,4801,10742,4032,4798,10575,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170])). % 209.46/209.72 cnf(10855,plain, % 209.46/209.72 (~P106(f335(f335(f195(f934(x108551,f934(x108552,a922))),x108553),x108554))), % 209.46/209.72 inference(rename_variables,[],[4801])). % 209.46/209.72 cnf(10858,plain, % 209.46/209.72 (~P106(f335(f335(f244(a927),x108581),f2(a927)))), % 209.46/209.72 inference(rename_variables,[],[4778])). % 209.46/209.72 cnf(10863,plain, % 209.46/209.72 (~P106(f335(f335(f179(x108631),f120(x108631)),x108632))), % 209.46/209.72 inference(rename_variables,[],[4783])). % 209.46/209.72 cnf(10873,plain, % 209.46/209.72 (~E(f335(f175(x108731),f335(a119,f335(f335(f141(x108731),f335(f175(x108731),x108732)),f335(f335(f158(x108731),x108733),f120(x108731))))),f335(f335(f158(x108731),x108733),x108732))), % 209.46/209.72 inference(scs_inference,[],[4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,4725,10723,3338,3510,10562,10565,10658,3381,3447,3378,3408,3390,4023,3480,4738,10553,3445,4332,4803,3465,3915,3617,10642,10762,10840,3533,4778,10530,10533,10559,10683,4791,3990,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,4282,3933,10686,3549,10651,10749,3550,10678,4774,10570,10599,3702,3642,4071,4008,10602,4784,10550,4373,4781,4766,3526,3530,4768,4767,4797,10849,4800,4801,10742,4032,4798,10575,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255])). % 209.46/209.72 cnf(10874,plain, % 209.46/209.72 (~E(f335(a119,x108741),x108741)), % 209.46/209.72 inference(rename_variables,[],[4713])). % 209.46/209.72 cnf(10892,plain, % 209.46/209.72 (P106(f335(f335(f244(a106),f335(a3,x108921)),f335(a3,f335(a119,x108921))))), % 209.46/209.72 inference(scs_inference,[],[4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,4725,10723,3338,3510,10562,10565,10658,3381,3447,3378,3408,3390,4023,3480,4738,10553,3445,4332,4803,3465,3915,3617,10642,10762,10840,4003,3533,4778,10530,10533,10559,10683,4791,3990,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,4282,3933,10686,3549,10651,10749,3550,10678,4774,10570,10599,3702,3642,4071,4008,10602,4784,10550,4373,4781,4766,3526,3530,4768,4767,4797,10849,4800,4801,10742,4032,4798,10575,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336])). % 209.46/209.72 cnf(10899,plain, % 209.46/209.72 (P106(f335(f335(f243(a927),x108991),x108991))), % 209.46/209.72 inference(rename_variables,[],[3549])). % 209.46/209.72 cnf(10902,plain, % 209.46/209.72 (P106(f335(f335(f243(a927),x109021),f335(f335(f87(a927),x109021),x109021)))), % 209.46/209.72 inference(rename_variables,[],[3814])). % 209.46/209.72 cnf(10905,plain, % 209.46/209.72 (P106(f335(f335(f243(a927),x109051),f335(f335(f87(a927),x109051),x109051)))), % 209.46/209.72 inference(rename_variables,[],[3814])). % 209.46/209.72 cnf(10908,plain, % 209.46/209.72 (P106(f335(f335(f244(a927),x109081),f335(a119,f335(f335(f86(a927),x109082),x109081))))), % 209.46/209.72 inference(rename_variables,[],[4001])). % 209.46/209.72 cnf(10913,plain, % 209.46/209.72 (P106(f335(f335(f244(a927),x109131),f335(a119,x109131)))), % 209.46/209.72 inference(rename_variables,[],[3617])). % 209.46/209.72 cnf(10916,plain, % 209.46/209.72 (P106(f335(f335(f244(a927),x109161),f335(a119,x109161)))), % 209.46/209.72 inference(rename_variables,[],[3617])). % 209.46/209.72 cnf(10919,plain, % 209.46/209.72 (P106(f335(f335(f337(x109191),x109192),f250(f934(x109191,a922))))), % 209.46/209.72 inference(rename_variables,[],[3702])). % 209.46/209.72 cnf(10938,plain, % 209.46/209.72 (~P106(f335(f335(f243(a927),f335(a119,x109381)),x109381))), % 209.46/209.72 inference(rename_variables,[],[4784])). % 209.46/209.72 cnf(10941,plain, % 209.46/209.72 (~P106(f335(f335(f243(a927),f335(a119,x109411)),x109411))), % 209.46/209.72 inference(rename_variables,[],[4784])). % 209.46/209.72 cnf(10944,plain, % 209.46/209.72 (~P106(f335(f335(f244(a927),f335(f335(f86(a927),x109441),x109442)),x109442))), % 209.46/209.72 inference(rename_variables,[],[4798])). % 209.46/209.72 cnf(10947,plain, % 209.46/209.72 (~P106(f335(f335(f244(a927),f335(f335(f86(a927),x109471),x109472)),x109472))), % 209.46/209.72 inference(rename_variables,[],[4798])). % 209.46/209.72 cnf(10950,plain, % 209.46/209.72 (P106(f335(f250(f934(x109501,a922)),x109502))), % 209.46/209.72 inference(rename_variables,[],[3610])). % 209.46/209.72 cnf(10953,plain, % 209.46/209.72 (E(f335(f40(a927),f335(f290(a927),x109531)),x109531)), % 209.46/209.72 inference(rename_variables,[],[3445])). % 209.46/209.72 cnf(10956,plain, % 209.46/209.72 (P106(f335(f335(f244(a927),x109561),f335(a119,x109561)))), % 209.46/209.72 inference(rename_variables,[],[3617])). % 209.46/209.72 cnf(10963,plain, % 209.46/209.72 (P106(f335(f335(f243(a927),x109631),x109631))), % 209.46/209.72 inference(rename_variables,[],[3549])). % 209.46/209.72 cnf(10968,plain, % 209.46/209.72 (P106(f335(f335(f243(a1),x109681),x109681))), % 209.46/209.72 inference(rename_variables,[],[3550])). % 209.46/209.72 cnf(10977,plain, % 209.46/209.72 (E(f335(f292(x109771,x109771),f271(x109771,x109772)),x109772)), % 209.46/209.72 inference(rename_variables,[],[3510])). % 209.46/209.72 cnf(10980,plain, % 209.46/209.72 (P106(f335(f250(f934(x109801,a922)),x109802))), % 209.46/209.72 inference(rename_variables,[],[3610])). % 209.46/209.72 cnf(10982,plain, % 209.46/209.72 (P31(x109821,f335(f243(a927),f2(a927)),x109822)), % 209.46/209.72 inference(scs_inference,[],[4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,4725,10723,3338,3510,10562,10565,10658,10661,3381,3447,3378,3408,3390,4023,3480,4738,10553,3445,10623,4332,4803,3465,3915,3850,3617,10642,10762,10840,10913,10916,4003,3533,4778,10530,10533,10559,10683,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,4282,3933,10686,3549,10651,10749,10899,3550,10678,10734,4774,10570,10599,3702,10828,3610,10950,3642,4071,4008,10602,4784,10550,10938,3570,4373,4781,4766,3526,3530,4768,4767,4797,10849,4802,3814,10902,4800,4801,10742,4032,4798,10575,10578,10944,4001,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560])). % 209.46/209.72 cnf(10983,plain, % 209.46/209.72 (P106(f335(f335(f243(a927),f2(a927)),x109831))), % 209.46/209.72 inference(rename_variables,[],[3570])). % 209.46/209.72 cnf(10985,plain, % 209.46/209.72 (P31(x109851,f335(f243(f934(x109852,a922)),f195(f934(x109852,a922))),x109853)), % 209.46/209.72 inference(scs_inference,[],[4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,4725,10723,3338,3510,10562,10565,10658,10661,3381,3447,3378,3408,3390,4023,3480,4738,10553,3445,10623,4332,4803,3465,3915,3850,3617,10642,10762,10840,10913,10916,4003,3533,4778,10530,10533,10559,10683,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,4282,3933,10686,3549,10651,10749,10899,3550,10678,10734,4774,10570,10599,3702,10828,3610,10950,3642,4071,4008,10602,4784,10550,10938,3570,4373,4781,4766,3526,3530,4768,4767,4797,10849,4802,4000,3814,10902,4800,4801,10742,4032,4798,10575,10578,10944,4001,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561])). % 209.46/209.72 cnf(10986,plain, % 209.46/209.72 (P106(f335(f335(f243(f934(x109861,a922)),f195(f934(x109861,a922))),x109862))), % 209.46/209.72 inference(rename_variables,[],[4000])). % 209.46/209.72 cnf(10989,plain, % 209.46/209.72 (P106(f335(f250(f934(x109891,a922)),x109892))), % 209.46/209.72 inference(rename_variables,[],[3610])). % 209.46/209.72 cnf(10992,plain, % 209.46/209.72 (P106(f335(f250(f934(x109921,a922)),x109922))), % 209.46/209.72 inference(rename_variables,[],[3610])). % 209.46/209.72 cnf(10995,plain, % 209.46/209.72 (P106(f335(f250(f934(x109951,a922)),x109952))), % 209.46/209.72 inference(rename_variables,[],[3610])). % 209.46/209.72 cnf(10998,plain, % 209.46/209.72 (P106(f335(f335(f243(a927),x109981),f335(f335(f87(a927),x109981),x109981)))), % 209.46/209.72 inference(rename_variables,[],[3814])). % 209.46/209.72 cnf(11002,plain, % 209.46/209.72 (E(f335(f175(x110021),f180(x110022,f335(f335(f141(x110021),f335(f175(x110021),x110023)),f335(f335(f158(x110021),x110024),f120(x110021))),f120(x110022))),f335(f335(f158(x110021),x110024),x110023))), % 209.46/209.72 inference(scs_inference,[],[4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,4725,10723,3338,3510,10562,10565,10658,10661,3487,3381,3447,3378,3408,3390,4023,3480,4738,10553,3445,10623,4332,4803,3465,3915,3850,3617,10642,10762,10840,10913,10916,4003,3533,4778,10530,10533,10559,10683,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,4282,3933,10686,3549,10651,10749,10899,3550,10678,10734,4774,10570,10599,3702,10828,3610,10950,10980,10989,10992,3642,4071,4008,10602,4784,10550,10938,3570,4373,4781,4766,3526,3530,4768,4767,4797,10849,4802,4000,3814,10902,10905,4800,4801,10742,4032,4798,10575,10578,10944,4001,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609])). % 209.46/209.72 cnf(11015,plain, % 209.46/209.72 (~P106(f335(f335(f244(a106),f335(a3,x110151)),f335(a3,f2(a927))))), % 209.46/209.72 inference(scs_inference,[],[4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,4725,10723,3338,3510,10562,10565,10658,10661,3487,3381,3447,3378,3408,3390,4023,3480,4738,10553,3445,10623,4332,4803,3465,3915,3850,3617,10642,10762,10840,10913,10916,10956,4003,3533,4778,10530,10533,10559,10683,10858,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,4282,3933,10686,3549,10651,10749,10899,3550,10678,10734,4774,10570,10599,3702,10828,3610,10950,10980,10989,10992,3642,4071,4008,10602,4784,10550,10938,10941,3570,4373,4781,4766,3526,3530,4768,4767,4797,10849,4802,4000,3814,10902,10905,4800,4801,10742,4032,4798,10575,10578,10944,4001,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618])). % 209.46/209.72 cnf(11040,plain, % 209.46/209.72 (P106(f335(f335(f243(a927),x110401),x110401))), % 209.46/209.72 inference(rename_variables,[],[3549])). % 209.46/209.72 cnf(11051,plain, % 209.46/209.72 (~P106(f335(f335(f179(x110511),f120(x110511)),x110512))), % 209.46/209.72 inference(rename_variables,[],[4783])). % 209.46/209.72 cnf(11060,plain, % 209.46/209.72 (P106(f335(f335(f244(a927),x110601),f335(a119,x110601)))), % 209.46/209.72 inference(rename_variables,[],[3617])). % 209.46/209.72 cnf(11062,plain, % 209.46/209.72 (P106(f335(f335(f244(a1),f335(f335(f23(a1),x110621),f84(a1))),x110621))), % 209.46/209.72 inference(scs_inference,[],[4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,4725,10723,3338,3510,10562,10565,10658,10661,3487,3381,3447,3378,3408,3390,4023,3480,4738,10553,3445,10623,4332,4191,4803,3465,3915,3850,3617,10642,10762,10840,10913,10916,10956,4003,3533,4778,10530,10533,10559,10683,10858,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,4282,3933,10686,3549,10651,10749,10899,10963,11040,3550,10678,10734,10968,4774,10570,10599,3702,10828,4787,3610,10950,10980,10989,10992,3642,4071,4008,10602,4784,10550,10938,10941,3570,4373,4781,4766,4769,3526,3530,4768,4767,4797,10849,4802,4000,3814,10902,10905,4800,4801,10742,4032,4798,10575,10578,10944,4001,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877])). % 209.46/209.72 cnf(11063,plain, % 209.46/209.72 (P106(f335(f335(f243(a1),x110631),x110631))), % 209.46/209.72 inference(rename_variables,[],[3550])). % 209.46/209.72 cnf(11068,plain, % 209.46/209.72 (~P106(f335(f335(f244(a927),x110681),f2(a927)))), % 209.46/209.72 inference(rename_variables,[],[4778])). % 209.46/209.72 cnf(11083,plain, % 209.46/209.72 (~P106(f335(f335(f244(a927),x110831),f2(a927)))), % 209.46/209.72 inference(rename_variables,[],[4778])). % 209.46/209.72 cnf(11086,plain, % 209.46/209.72 (~P106(f335(f335(f244(f934(x110861,a922)),x110862),f195(f934(x110861,a922))))), % 209.46/209.72 inference(rename_variables,[],[4795])). % 209.46/209.72 cnf(11089,plain, % 209.46/209.72 (P106(f335(f335(f243(a927),x110891),x110891))), % 209.46/209.72 inference(rename_variables,[],[3549])). % 209.46/209.72 cnf(11092,plain, % 209.46/209.72 (P106(f335(f335(f243(a927),x110921),x110921))), % 209.46/209.72 inference(rename_variables,[],[3549])). % 209.46/209.72 cnf(11107,plain, % 209.46/209.72 (~P106(f335(f335(f244(a927),x111071),x111071))), % 209.46/209.72 inference(rename_variables,[],[4774])). % 209.46/209.72 cnf(11116,plain, % 209.46/209.72 (~P106(f335(f335(f337(x111161),x111162),f195(f934(x111161,a922))))), % 209.46/209.72 inference(rename_variables,[],[4787])). % 209.46/209.72 cnf(11123,plain, % 209.46/209.72 (P106(f335(f335(f243(a927),x111231),x111231))), % 209.46/209.72 inference(rename_variables,[],[3549])). % 209.46/209.72 cnf(11126,plain, % 209.46/209.72 (P106(f335(f335(f243(f934(x111261,a922)),f335(f318(x111262,x111261,x111263),f335(f319(x111262,x111261,x111263),x111264))),x111264))), % 209.46/209.72 inference(rename_variables,[],[4430])). % 209.46/209.72 cnf(11135,plain, % 209.46/209.72 (P106(f335(f335(f243(f934(x111351,a922)),f335(f179(x111351),f335(f143(x111351,x111352),x111353))),f335(f179(x111351),x111353)))), % 209.46/209.72 inference(rename_variables,[],[4200])). % 209.46/209.72 cnf(11138,plain, % 209.46/209.72 (E(f335(f318(x111381,x111381,f5(x111381)),x111382),x111382)), % 209.46/209.72 inference(rename_variables,[],[3606])). % 209.46/209.72 cnf(11143,plain, % 209.46/209.72 (P106(f335(f335(f243(a927),f2(a927)),x111431))), % 209.46/209.72 inference(rename_variables,[],[3570])). % 209.46/209.72 cnf(11146,plain, % 209.46/209.72 (P106(f335(f335(f243(a927),x111461),x111461))), % 209.46/209.72 inference(rename_variables,[],[3549])). % 209.46/209.72 cnf(11149,plain, % 209.46/209.72 (~P106(f335(f335(f244(a927),x111491),x111491))), % 209.46/209.72 inference(rename_variables,[],[4774])). % 209.46/209.72 cnf(11155,plain, % 209.46/209.72 (E(f335(f335(f141(a927),f146(a927,f335(f310(a927,x111551),x111551))),f335(f335(f158(a927),x111551),f120(a927))),f146(a927,f335(f310(a927,x111551),f335(a119,x111551))))), % 209.46/209.72 inference(scs_inference,[],[4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,4725,10723,3338,3510,10562,10565,10658,10661,3487,3381,3447,3378,3408,3390,4023,3606,3480,4738,10553,3445,10623,4332,4191,4803,3465,3746,3915,3850,3617,10642,10762,10840,10913,10916,10956,11060,4003,3533,4778,10530,10533,10559,10683,10858,11068,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,4294,4200,4282,3933,10686,4795,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,3550,10678,10734,10968,3551,4774,10570,10599,11107,3702,10828,4787,3610,10950,10980,10989,10992,3642,4071,4008,10602,4784,10550,10938,10941,3570,10983,4373,4781,4766,4769,3526,3530,4768,4767,4797,10849,4802,4000,3814,10902,10905,4800,4801,10742,4430,4032,4798,10575,10578,10944,4001,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430])). % 209.46/209.72 cnf(11158,plain, % 209.46/209.72 (~P106(f335(f335(f244(a927),x111581),x111581))), % 209.46/209.72 inference(rename_variables,[],[4774])). % 209.46/209.72 cnf(11169,plain, % 209.46/209.72 (P106(f335(f335(f243(a927),x111691),f335(f335(f87(a927),x111691),x111691)))), % 209.46/209.72 inference(rename_variables,[],[3814])). % 209.46/209.72 cnf(11175,plain, % 209.46/209.72 (P106(f335(f335(f244(a927),x111751),f335(a119,f335(f335(f86(a927),x111752),x111751))))), % 209.46/209.72 inference(rename_variables,[],[4001])). % 209.46/209.72 cnf(11181,plain, % 209.46/209.72 (~E(x111811,f335(f335(f158(x111812),x111813),x111811))), % 209.46/209.72 inference(scs_inference,[],[4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,4725,10723,3338,3510,10562,10565,10658,10661,3487,3381,3447,3378,3408,3390,4023,3606,3480,4738,10553,3445,10623,4332,4191,4803,3465,3746,3915,3850,3617,10642,10762,10840,10913,10916,10956,11060,4003,3533,4778,10530,10533,10559,10683,10858,11068,11083,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,4294,4200,4282,3933,10686,4795,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,3550,10678,10734,10968,3551,4774,10570,10599,11107,11149,3702,10828,4787,11116,3610,10950,10980,10989,10992,3642,4071,4008,10602,4784,10550,10938,10941,3570,10983,4373,4781,4766,4769,3526,3530,4768,4767,4797,10849,4802,4000,3814,10902,10905,10998,11169,4800,4801,10742,4430,4032,4798,10575,10578,10944,4001,10908,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614])). % 209.46/209.72 cnf(11182,plain, % 209.46/209.72 (P106(f335(f335(f243(a927),x111821),x111821))), % 209.46/209.72 inference(rename_variables,[],[3549])). % 209.46/209.72 cnf(11184,plain, % 209.46/209.72 (P106(f335(f335(f244(a1),x111841),f335(f335(f86(a1),x111841),f84(a1))))), % 209.46/209.72 inference(scs_inference,[],[4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,4725,10723,3338,3510,10562,10565,10658,10661,3487,3381,3447,3378,3408,3390,4023,3606,3480,4738,10553,3445,10623,4332,4191,4803,3465,3746,3915,3850,3617,10642,10762,10840,10913,10916,10956,11060,4003,3533,4778,10530,10533,10559,10683,10858,11068,11083,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,4294,4200,4282,3933,10686,4795,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,3550,10678,10734,10968,11063,3551,4774,10570,10599,11107,11149,3702,10828,4787,11116,3610,10950,10980,10989,10992,3642,4071,4008,10602,4784,10550,10938,10941,3570,10983,4373,4781,4766,4769,3526,3530,4768,4767,4797,10849,4802,4000,3814,10902,10905,10998,11169,4800,4801,10742,4430,4032,4798,10575,10578,10944,4001,10908,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660])). % 209.46/209.72 cnf(11185,plain, % 209.46/209.72 (P106(f335(f335(f243(a1),x111851),x111851))), % 209.46/209.72 inference(rename_variables,[],[3550])). % 209.46/209.72 cnf(11187,plain, % 209.46/209.72 (~E(f335(f78(x111871,x111872,x111873,a119),x111874),x111874)), % 209.46/209.72 inference(scs_inference,[],[4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,4725,10723,3338,3510,10562,10565,10658,10661,3487,3381,3447,3378,3408,3390,4023,3606,3480,4738,10553,3445,10623,4332,4191,4803,3465,3746,3915,3850,3617,10642,10762,10840,10913,10916,10956,11060,4003,3533,4778,10530,10533,10559,10683,10858,11068,11083,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,4294,4200,4282,3933,10686,4795,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,3550,10678,10734,10968,11063,3551,4774,10570,10599,11107,11149,3702,10828,4787,11116,3610,10950,10980,10989,10992,3642,4071,4008,10602,4784,10550,10938,10941,3570,10983,4373,4781,4766,4769,3526,3530,4768,4767,4797,10849,4802,4000,3814,10902,10905,10998,11169,4800,4801,10742,4430,4032,4798,10575,10578,10944,4001,10908,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670])). % 209.46/209.72 cnf(11188,plain, % 209.46/209.72 (~E(f335(a119,x111881),x111881)), % 209.46/209.72 inference(rename_variables,[],[4713])). % 209.46/209.72 cnf(11192,plain, % 209.46/209.72 (P106(f335(f335(f337(f933(x111921,x111921)),x111922),f315(x111921,f250(f934(f933(x111921,x111921),a922)))))), % 209.46/209.72 inference(scs_inference,[],[4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,4725,10723,3338,3510,10562,10565,10658,10661,3487,3381,3447,3378,3408,3390,4023,3606,3480,4738,10553,3445,10623,4332,4191,4803,3465,3746,3915,3850,3617,10642,10762,10840,10913,10916,10956,11060,4003,3533,4778,10530,10533,10559,10683,10858,11068,11083,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,4294,4200,4282,3933,10686,4795,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,3550,10678,10734,10968,11063,3551,4774,10570,10599,11107,11149,3702,10828,10919,4787,11116,3610,10950,10980,10989,10992,3642,4071,4008,10602,4784,10550,10938,10941,3570,10983,4373,4781,4766,4769,3526,3530,4768,4767,4797,10849,4802,4000,3814,10902,10905,10998,11169,4800,4801,10742,4430,4032,4798,10575,10578,10944,4001,10908,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688])). % 209.46/209.72 cnf(11193,plain, % 209.46/209.72 (P106(f335(f335(f337(x111931),x111932),f250(f934(x111931,a922))))), % 209.46/209.72 inference(rename_variables,[],[3702])). % 209.46/209.72 cnf(11198,plain, % 209.46/209.72 (~P106(f335(f335(f244(a927),x111981),f2(a927)))), % 209.46/209.72 inference(rename_variables,[],[4778])). % 209.46/209.72 cnf(11213,plain, % 209.46/209.72 (P106(f335(f335(f243(a927),f2(a927)),x112131))), % 209.46/209.72 inference(rename_variables,[],[3570])). % 209.46/209.72 cnf(11220,plain, % 209.46/209.72 (P106(f335(f335(f243(a927),x112201),x112201))), % 209.46/209.72 inference(rename_variables,[],[3549])). % 209.46/209.72 cnf(11229,plain, % 209.46/209.72 (~P106(f335(f335(f337(x112291),x112292),f195(f934(x112291,a922))))), % 209.46/209.72 inference(rename_variables,[],[4787])). % 209.46/209.72 cnf(11231,plain, % 209.46/209.72 (P106(f335(f335(f243(f934(x112311,a922)),f43(f934(x112311,a922),f335(f316(x112311),x112312))),x112312))), % 209.46/209.72 inference(scs_inference,[],[4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,4725,10723,3338,3510,10562,10565,10658,10661,3487,3381,3447,3378,3408,3390,4023,3606,3480,4738,10553,3445,10623,4332,4191,4803,3465,3746,3915,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,4003,3533,4778,10530,10533,10559,10683,10858,11068,11083,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,4294,4200,11135,3916,4282,3933,10686,4795,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,3550,10678,10734,10968,11063,3551,4774,10570,10599,11107,11149,3702,10828,10919,11193,4787,11116,3610,10950,10980,10989,10992,3642,4071,4008,10602,4784,10550,10938,10941,3570,10983,11143,4373,4781,4079,4766,4769,3526,3530,4768,4767,4797,10849,4802,4000,3814,10902,10905,10998,11169,4800,4801,10742,4430,4032,4798,10575,10578,10944,4001,10908,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009])). % 209.46/209.72 cnf(11233,plain, % 209.46/209.72 (E(f335(f335(f108(f934(x112331,a922)),f335(f335(f108(f934(x112331,a922)),x112332),f335(f85(f934(x112331,a922)),x112333))),x112333),f195(f934(x112331,a922)))), % 209.46/209.72 inference(scs_inference,[],[4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,4725,10723,3338,3510,10562,10565,10658,10661,3487,3381,3447,3378,3408,3390,4023,3606,3480,4738,10553,3445,10623,4332,4191,4803,3465,3746,3915,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,4003,3533,4778,10530,10533,10559,10683,10858,11068,11083,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,4294,4200,11135,3916,4282,3933,10686,4795,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,3550,10678,10734,10968,11063,3551,4774,10570,10599,11107,11149,3702,10828,10919,11193,4787,11116,3610,10950,10980,10989,10992,3642,4071,4008,10602,4784,10550,10938,10941,3570,10983,11143,4373,4781,4079,4766,4769,3526,3530,4768,4767,4797,10849,4802,4000,3814,10902,10905,10998,11169,4800,4801,10742,4430,4032,4798,10575,10578,10944,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011])). % 209.46/209.72 cnf(11236,plain, % 209.46/209.72 (P106(f335(f335(f337(f928(x112361)),x112362),f168(x112361,f250(f934(x112361,a922)))))), % 209.46/209.72 inference(scs_inference,[],[4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,4725,10723,3338,3510,10562,10565,10658,10661,3487,3381,3447,3378,3408,3390,4023,3606,3480,4738,10553,3445,10623,4332,4191,4803,3465,3746,3915,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,4003,3533,4778,10530,10533,10559,10683,10858,11068,11083,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,4294,4200,11135,3916,4282,3933,10686,4795,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,3550,10678,10734,10968,11063,3551,4774,10570,10599,11107,11149,3702,10828,10919,11193,4787,11116,3610,10950,10980,10989,10992,3642,4071,4008,10602,4784,10550,10938,10941,3570,10983,11143,4373,4781,4079,4766,4769,3526,3530,4768,4767,4797,10849,4802,4000,3814,10902,10905,10998,11169,4800,4801,10742,4430,4032,4798,10575,10578,10944,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020])). % 209.46/209.72 cnf(11237,plain, % 209.46/209.72 (P106(f335(f335(f337(x112371),x112372),f250(f934(x112371,a922))))), % 209.46/209.72 inference(rename_variables,[],[3702])). % 209.46/209.72 cnf(11240,plain, % 209.46/209.72 (~P106(f335(f335(f337(f933(f928(x112401),f928(x112401))),f335(f335(f260(f928(x112401),f928(x112401)),x112402),f120(x112401))),f152(x112401,x112403)))), % 209.46/209.72 inference(rename_variables,[],[4803])). % 209.46/209.72 cnf(11249,plain, % 209.46/209.72 (~P106(f335(f335(f337(f933(x112491,x112491)),x112492),f271(x112491,f195(f934(x112491,a922)))))), % 209.46/209.72 inference(scs_inference,[],[4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,4725,10723,3338,3510,10562,10565,10658,10661,3487,3381,3447,3378,3408,3390,4023,3606,3480,4738,10553,3445,10623,4332,4191,4803,3465,3746,3915,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,4003,3533,4778,10530,10533,10559,10683,10858,11068,11083,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,4294,4200,11135,3916,4282,3933,10686,4795,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,3550,10678,10734,10968,11063,3551,4774,10570,10599,11107,11149,3702,10828,10919,11193,4787,11116,11229,3610,10950,10980,10989,10992,3642,4071,4008,10602,4784,10550,10938,10941,3570,10983,11143,4373,4781,4079,4766,4769,3526,3530,4768,4767,4797,10849,4802,4000,3703,3814,10902,10905,10998,11169,4800,4801,10742,4430,4032,4798,10575,10578,10944,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151])). % 209.46/209.72 cnf(11250,plain, % 209.46/209.72 (~P106(f335(f335(f337(x112501),x112502),f195(f934(x112501,a922))))), % 209.46/209.72 inference(rename_variables,[],[4787])). % 209.46/209.72 cnf(11252,plain, % 209.46/209.72 (~P106(f335(f335(f337(x112521),x112522),f335(f319(x112521,x112523,x112524),f195(f934(x112523,a922)))))), % 209.46/209.72 inference(scs_inference,[],[4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,4725,10723,3338,3510,10562,10565,10658,10661,3487,3381,3447,3378,3408,3390,4023,3606,3480,4738,10553,3445,10623,4332,4191,4803,3465,3746,3915,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,4003,3533,4778,10530,10533,10559,10683,10858,11068,11083,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,4294,4200,11135,3916,4282,3933,10686,4795,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,3550,10678,10734,10968,11063,3551,4774,10570,10599,11107,11149,3702,10828,10919,11193,4787,11116,11229,11250,3610,10950,10980,10989,10992,3642,4071,4008,10602,4784,10550,10938,10941,3570,10983,11143,4373,4781,4079,4766,4769,3526,3530,4768,4767,4797,10849,4802,4000,3703,3814,10902,10905,10998,11169,4800,4801,10742,4430,4032,4798,10575,10578,10944,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183])). % 209.46/209.72 cnf(11253,plain, % 209.46/209.72 (~P106(f335(f335(f337(x112531),x112532),f195(f934(x112531,a922))))), % 209.46/209.72 inference(rename_variables,[],[4787])). % 209.46/209.72 cnf(11256,plain, % 209.46/209.72 (P106(f335(f335(f243(f934(x112561,a922)),x112562),f335(f335(f317(x112561),x112563),x112562)))), % 209.46/209.72 inference(rename_variables,[],[3998])). % 209.46/209.72 cnf(11259,plain, % 209.46/209.72 (P106(f335(f335(f243(a927),x112591),x112591))), % 209.46/209.72 inference(rename_variables,[],[3549])). % 209.46/209.72 cnf(11261,plain, % 209.46/209.72 (P106(f335(f335(f337(x112611),x112612),f335(f335(f317(x112611),x112613),f335(f335(f317(x112611),x112612),x112614))))), % 209.46/209.72 inference(scs_inference,[],[4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,4725,10723,3338,3510,10562,10565,10658,10661,3487,3381,3447,3378,3408,3390,4023,3606,3480,4738,10553,3445,10623,4332,4191,4803,3465,3746,3915,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,4003,3533,4778,10530,10533,10559,10683,10858,11068,11083,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,4294,4200,11135,3916,4282,3933,10686,4795,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,3550,10678,10734,10968,11063,3551,4774,10570,10599,11107,11149,3702,10828,10919,11193,4787,11116,11229,11250,3610,10950,10980,10989,10992,3642,4071,4008,10602,4784,10550,10938,10941,3570,10983,11143,4373,4781,4079,4766,4769,3526,3530,4768,4767,4797,10849,4802,3998,11256,4000,3703,3814,10902,10905,10998,11169,4800,4801,10742,4430,4032,4798,10575,10578,10944,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271])). % 209.46/209.72 cnf(11262,plain, % 209.46/209.72 (P106(f335(f335(f243(f934(x112621,a922)),x112622),f335(f335(f317(x112621),x112623),x112622)))), % 209.46/209.72 inference(rename_variables,[],[3998])). % 209.46/209.72 cnf(11265,plain, % 209.46/209.72 (E(f335(f318(x112651,x112651,f5(x112651)),x112652),x112652)), % 209.46/209.72 inference(rename_variables,[],[3606])). % 209.46/209.72 cnf(11267,plain, % 209.46/209.72 (P34(x112671,x112672,x112673,f121(x112671,f120(x112671)),f120(x112672))), % 209.46/209.72 inference(scs_inference,[],[4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,4725,10723,3338,3392,3510,10562,10565,10658,10661,3487,3381,3447,3378,3408,3390,4023,3606,11138,3480,4738,10553,3445,10623,4332,4191,4803,3465,3746,3915,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,4003,3533,4778,10530,10533,10559,10683,10858,11068,11083,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,4294,4200,11135,3916,4282,3933,10686,4795,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,3550,10678,10734,10968,11063,3551,4774,10570,10599,11107,11149,3702,10828,10919,11193,4787,11116,11229,11250,3610,10950,10980,10989,10992,3642,4071,4008,10602,4784,10550,10938,10941,3570,10983,11143,4373,4781,4079,4766,4769,3526,3530,4768,4767,4797,10849,4802,3998,11256,4000,3703,3814,10902,10905,10998,11169,4800,4801,10742,4430,4032,4798,10575,10578,10944,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289])). % 209.46/209.72 cnf(11279,plain, % 209.46/209.72 (E(f335(x112791,f538(x112791,x112792,f335(x112791,x112793))),f335(x112791,x112793))), % 209.46/209.72 inference(scs_inference,[],[4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,4725,10723,3338,3392,3510,10562,10565,10658,10661,3487,3381,3447,3378,3408,3390,4023,3606,11138,3480,4738,10553,3445,10623,4332,4191,4803,3465,3746,3915,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,4003,3533,4778,10530,10533,10559,10683,10858,11068,11083,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,4294,4200,11135,3916,4282,3933,10686,4795,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,3550,10678,10734,10968,11063,3551,4774,10570,10599,11107,11149,3702,10828,10919,11193,11237,4787,11116,11229,11250,3610,10950,10980,10989,10992,3642,4071,4008,10602,4784,10550,10938,10941,3570,10983,11143,4373,4781,4079,4766,4769,3526,3530,4768,4767,4797,10849,4802,4157,3998,11256,4000,3703,3814,10902,10905,10998,11169,4800,4801,10742,4430,4032,4798,10575,10578,10944,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457])). % 209.46/209.72 cnf(11282,plain, % 209.46/209.72 (P106(f335(f335(f243(f934(x112821,a922)),x112822),f335(f335(f317(x112821),x112823),x112822)))), % 209.46/209.72 inference(rename_variables,[],[3998])). % 209.46/209.72 cnf(11295,plain, % 209.46/209.72 (~E(f335(a119,x112951),f2(a927))), % 209.46/209.72 inference(rename_variables,[],[4725])). % 209.46/209.72 cnf(11298,plain, % 209.46/209.72 (~P106(f335(f335(f179(x112981),f120(x112981)),x112982))), % 209.46/209.72 inference(rename_variables,[],[4783])). % 209.46/209.72 cnf(11311,plain, % 209.46/209.72 (P106(f335(f335(f244(a927),x113111),f335(a119,x113111)))), % 209.46/209.72 inference(rename_variables,[],[3617])). % 209.46/209.72 cnf(11321,plain, % 209.46/209.72 (~E(f335(f318(x113211,f934(x113211,a922),x113212),x113213),f335(f316(x113211),x113213))), % 209.46/209.72 inference(rename_variables,[],[4785])). % 209.46/209.72 cnf(11324,plain, % 209.46/209.72 (~P106(f335(f335(f337(x113241),x113242),f195(f934(x113241,a922))))), % 209.46/209.72 inference(rename_variables,[],[4787])). % 209.46/209.72 cnf(11327,plain, % 209.46/209.72 (~P106(f335(f335(f337(x113271),x113272),f195(f934(x113271,a922))))), % 209.46/209.72 inference(rename_variables,[],[4787])). % 209.46/209.72 cnf(11330,plain, % 209.46/209.72 (~P106(f335(f335(f337(f933(x113301,x113301)),f335(f335(f260(x113301,x113301),x113302),x113303)),f160(x113301,f120(f934(x113301,a927)))))), % 209.46/209.72 inference(rename_variables,[],[4802])). % 209.46/209.72 cnf(11333,plain, % 209.46/209.72 (~P106(f335(f335(f337(f933(x113331,x113331)),f335(f335(f260(x113331,x113331),x113332),x113333)),f160(x113331,f120(f934(x113331,a927)))))), % 209.46/209.72 inference(rename_variables,[],[4802])). % 209.46/209.72 cnf(11338,plain, % 209.46/209.72 (~P106(f335(f335(f337(x113381),x113382),f195(f934(x113381,a922))))), % 209.46/209.72 inference(rename_variables,[],[4787])). % 209.46/209.72 cnf(11341,plain, % 209.46/209.72 (P106(f335(f335(f337(f933(x113411,x113411)),f335(f335(f260(x113411,x113411),x113412),x113412)),f315(x113411,x113413)))), % 209.46/209.72 inference(rename_variables,[],[4191])). % 209.46/209.72 cnf(11344,plain, % 209.46/209.72 (P106(f335(f335(f243(f934(x113441,a922)),f335(f179(x113441),f183(x113441,x113442,x113443))),f335(f179(x113441),x113442)))), % 209.46/209.72 inference(rename_variables,[],[4248])). % 209.46/209.72 cnf(11347,plain, % 209.46/209.72 (P106(f335(f335(f243(f934(x113471,a922)),x113472),f250(f934(x113471,a922))))), % 209.46/209.72 inference(rename_variables,[],[3933])). % 209.46/209.72 cnf(11363,plain, % 209.46/209.72 (P106(f335(f335(f243(f934(x113631,a922)),f195(f934(x113631,a922))),x113632))), % 209.46/209.72 inference(rename_variables,[],[4000])). % 209.46/209.72 cnf(11371,plain, % 209.46/209.72 (~P106(f335(f335(f72(f928(x113711),f928(x113711),f152(x113711,x113712)),x113713),f120(x113711)))), % 209.46/209.72 inference(scs_inference,[],[4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,4725,10723,10823,3338,3392,3510,10562,10565,10658,10661,3487,4010,3381,3447,3378,3408,3390,4023,3606,11138,3480,4189,4738,10553,4785,3445,10623,4332,4191,11341,4803,11240,3465,3746,3915,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,4003,3533,4778,10530,10533,10559,10683,10858,11068,11083,11198,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,4294,4200,11135,4248,3916,4282,3933,10686,10783,4795,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,3550,10678,10734,10968,11063,3551,4774,10570,10599,11107,11149,3702,10828,10919,11193,11237,4787,11116,11229,11250,11253,11324,11327,3610,10950,10980,10989,10992,3642,4071,4008,10602,4784,10550,10938,10941,3570,10983,11143,4373,4781,4079,4766,4769,3526,3530,4768,4767,4797,10849,4802,11330,4157,3998,11256,11262,4000,10986,3703,3814,10902,10905,10998,11169,4800,4801,10742,4430,4032,4798,10575,10578,10944,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789])). % 209.46/209.72 cnf(11374,plain, % 209.46/209.72 (~P106(f335(f335(f337(f933(f928(x113741),f928(x113741))),f335(f335(f260(f928(x113741),f928(x113741)),x113742),f120(x113741))),f154(x113741,x113743)))), % 209.50/209.72 inference(rename_variables,[],[4804])). % 209.50/209.72 cnf(11385,plain, % 209.50/209.72 (~E(f335(a119,x113851),x113851)), % 209.50/209.72 inference(rename_variables,[],[4713])). % 209.50/209.72 cnf(11388,plain, % 209.50/209.72 (~E(f335(a119,x113881),x113881)), % 209.50/209.72 inference(rename_variables,[],[4713])). % 209.50/209.72 cnf(11395,plain, % 209.50/209.72 (~E(f335(a119,x113951),f2(a927))), % 209.50/209.72 inference(rename_variables,[],[4725])). % 209.50/209.72 cnf(11400,plain, % 209.50/209.72 (P106(f335(f335(f243(f934(x114001,a922)),x114002),x114002))), % 209.50/209.72 inference(rename_variables,[],[3847])). % 209.50/209.72 cnf(11404,plain, % 209.50/209.72 (P106(f335(f335(f243(f934(x114041,a922)),f335(f335(f45(f933(x114042,x114042),f934(x114041,a922)),f315(x114042,x114043)),x114044)),f335(x114044,f335(f335(f260(x114042,x114042),x114045),x114045))))), % 209.50/209.72 inference(scs_inference,[],[4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,4725,10723,10823,11295,3338,3392,3510,10562,10565,10658,10661,3487,4010,3381,3447,3378,3408,3390,4023,3606,11138,3480,4189,4738,10553,4785,3445,10623,4332,4191,11341,4803,11240,4804,3465,3746,3915,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,4003,3533,4778,10530,10533,10559,10683,10858,11068,11083,11198,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,4294,4200,11135,4248,3916,4282,3933,10686,10783,4795,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,3550,10678,10734,10968,11063,3551,4774,10570,10599,11107,11149,3702,10828,10919,11193,11237,4787,11116,11229,11250,11253,11324,11327,3610,10950,10980,10989,10992,3642,4071,4008,10602,4784,10550,10938,10941,3570,10983,11143,4373,4781,4079,4766,4769,3526,3530,4768,4767,4797,10849,4802,11330,4157,3998,11256,11262,3847,4000,10986,3703,3814,10902,10905,10998,11169,4800,4801,10742,4430,4032,4798,10575,10578,10944,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869])). % 209.50/209.72 cnf(11407,plain, % 209.50/209.72 (~E(f335(a119,x114071),x114071)), % 209.50/209.72 inference(rename_variables,[],[4713])). % 209.50/209.72 cnf(11410,plain, % 209.50/209.72 (~E(f335(a119,x114101),x114101)), % 209.50/209.72 inference(rename_variables,[],[4713])). % 209.50/209.72 cnf(11412,plain, % 209.50/209.72 (~P26(x114121,f934(x114121,a922),x114122,x114123,f335(f316(x114121),x114123))), % 209.50/209.72 inference(scs_inference,[],[4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,4725,10723,10823,11295,3338,3392,3510,10562,10565,10658,10661,3487,4010,3381,3447,3378,3408,3390,4023,3606,11138,3480,4189,4738,10553,4785,11321,3445,10623,4332,4191,11341,4803,11240,4804,3465,3746,3915,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,4003,3533,4778,10530,10533,10559,10683,10858,11068,11083,11198,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,4294,4200,11135,4248,3916,4282,3933,10686,10783,4795,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,3550,10678,10734,10968,11063,3551,4774,10570,10599,11107,11149,3702,10828,10919,11193,11237,4787,11116,11229,11250,11253,11324,11327,3610,10950,10980,10989,10992,3642,4071,4008,10602,4784,10550,10938,10941,3570,10983,11143,4373,4781,4079,4766,4769,3526,3530,4768,4767,4797,10849,4802,11330,4157,3998,11256,11262,3847,4000,10986,3703,3814,10902,10905,10998,11169,4800,4801,10742,4430,4032,4798,10575,10578,10944,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887])). % 209.50/209.72 cnf(11415,plain, % 209.50/209.72 (P25(x114151,x114151,f5(x114151),x114152)), % 209.50/209.72 inference(rename_variables,[],[3786])). % 209.50/209.72 cnf(11420,plain, % 209.50/209.72 (~E(f335(f318(x114201,f934(x114201,a922),x114202),x114203),f335(f316(x114201),x114203))), % 209.50/209.72 inference(rename_variables,[],[4785])). % 209.50/209.72 cnf(11425,plain, % 209.50/209.72 (P106(f335(f335(f243(f934(x114251,a922)),x114252),f250(f934(x114251,a922))))), % 209.50/209.72 inference(rename_variables,[],[3933])). % 209.50/209.72 cnf(11441,plain, % 209.50/209.72 (~P106(f335(f335(f337(x114411),x114412),f195(f934(x114411,a922))))), % 209.50/209.72 inference(rename_variables,[],[4787])). % 209.50/209.72 cnf(11444,plain, % 209.50/209.72 (~P106(f335(f335(f243(a927),f335(a119,x114441)),x114441))), % 209.50/209.72 inference(rename_variables,[],[4784])). % 209.50/209.72 cnf(11449,plain, % 209.50/209.72 (~P106(f335(f335(f337(x114491),x114492),f195(f934(x114491,a922))))), % 209.50/209.72 inference(rename_variables,[],[4787])). % 209.50/209.72 cnf(11459,plain, % 209.50/209.72 (~P106(f335(f335(f337(a927),f335(a119,f335(f149(a927,a927,f86(a927),f2(a927)),x114591))),f335(f179(a927),x114591)))), % 209.50/209.72 inference(scs_inference,[],[3786,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,4725,10723,10823,11295,3338,3392,3510,10562,10565,10658,10661,3487,4010,3381,3447,3378,3408,3390,4023,3606,11138,3480,4189,4738,10553,4785,11321,3653,3445,10623,4332,4191,11341,4803,11240,4804,3465,3746,3915,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,4003,3533,4778,10530,10533,10559,10683,10858,11068,11083,11198,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,4294,4200,11135,4248,3916,4282,3933,10686,10783,11347,4795,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,3550,10678,10734,10968,11063,3551,4774,10570,10599,11107,11149,3702,10828,10919,11193,11237,4787,11116,11229,11250,11253,11324,11327,11338,11441,3610,10950,10980,10989,10992,3642,4071,4008,10602,4784,10550,10938,10941,11444,3570,10983,11143,4373,4781,4079,4766,4769,3526,3530,4768,4767,4797,10849,4802,11330,4157,3998,11256,11262,3847,4000,10986,3703,3814,10902,10905,10998,11169,4800,4801,10742,4430,4032,4798,10575,10578,10944,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071])). % 209.50/209.72 cnf(11460,plain, % 209.50/209.72 (~P106(f335(f335(f243(a927),f335(a119,x114601)),x114601))), % 209.50/209.72 inference(rename_variables,[],[4784])). % 209.50/209.72 cnf(11463,plain, % 209.50/209.72 (~P106(f335(f335(f337(x114631),x114632),f195(f934(x114631,a922))))), % 209.50/209.72 inference(rename_variables,[],[4787])). % 209.50/209.72 cnf(11476,plain, % 209.50/209.72 (P106(f335(f335(f337(f933(x114761,x114761)),f335(f335(f260(x114761,x114761),x114762),x114762)),f315(x114761,x114763)))), % 209.50/209.72 inference(rename_variables,[],[4191])). % 209.50/209.72 cnf(11479,plain, % 209.50/209.72 (P106(f335(f335(f337(x114791),x114792),f250(f934(x114791,a922))))), % 209.50/209.72 inference(rename_variables,[],[3702])). % 209.50/209.72 cnf(11482,plain, % 209.50/209.72 (P106(f335(f335(f337(x114821),x114822),f250(f934(x114821,a922))))), % 209.50/209.72 inference(rename_variables,[],[3702])). % 209.50/209.72 cnf(11486,plain, % 209.50/209.72 (P106(f335(f335(f337(f933(f928(x114861),f928(x114861))),f335(f335(f260(f928(x114861),f928(x114861)),f120(x114861)),f120(x114861))),f335(f294(f928(x114861),f928(x114861)),f165(x114861,x114862))))), % 209.50/209.72 inference(scs_inference,[],[3786,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,4725,10723,10823,11295,3338,3392,3510,10562,10565,10658,10661,3487,4010,3381,3447,3378,3408,3390,4023,3606,11138,3480,4189,4738,10553,4785,11321,3653,3445,10623,4332,4191,11341,4803,11240,4804,3465,3746,3915,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,4003,3533,4778,10530,10533,10559,10683,10858,11068,11083,11198,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,4294,4200,11135,4248,3916,4282,3933,10686,10783,11347,4795,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,3550,10678,10734,10968,11063,3551,4774,10570,10599,11107,11149,3702,10828,10919,11193,11237,11479,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,3610,10950,10980,10989,10992,3642,4071,4008,10602,4784,10550,10938,10941,11444,3570,10983,11143,4373,4781,4079,4766,4769,3526,3530,4768,4767,4797,10849,4802,11330,4157,3998,11256,11262,3847,4000,10986,3703,3814,10902,10905,10998,11169,4800,4801,10742,4430,4032,4798,10575,10578,10944,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241])). % 209.50/209.72 cnf(11489,plain, % 209.50/209.72 (~P106(f335(f335(f337(f933(f928(x114891),f928(x114891))),f335(f335(f260(f928(x114891),f928(x114891)),x114892),f120(x114891))),f152(x114891,x114893)))), % 209.50/209.72 inference(rename_variables,[],[4803])). % 209.50/209.72 cnf(11492,plain, % 209.50/209.72 (~P106(f335(f335(f337(f933(f928(x114921),f928(x114921))),f335(f335(f260(f928(x114921),f928(x114921)),x114922),f120(x114921))),f154(x114921,x114923)))), % 209.50/209.72 inference(rename_variables,[],[4804])). % 209.50/209.72 cnf(11495,plain, % 209.50/209.72 (~P106(f335(f335(f337(f933(f928(x114951),f928(x114951))),f335(f335(f260(f928(x114951),f928(x114951)),x114952),f120(x114951))),f164(x114951,x114953)))), % 209.50/209.72 inference(rename_variables,[],[4805])). % 209.50/209.72 cnf(11497,plain, % 209.50/209.72 (~P106(f335(f335(f337(f933(f928(x114971),f928(x114971))),f335(f335(f260(f928(x114971),f928(x114971)),f120(x114971)),x114972)),f335(f294(f928(x114971),f928(x114971)),f152(x114971,x114973))))), % 209.50/209.72 inference(scs_inference,[],[3786,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,4725,10723,10823,11295,3338,3392,3510,10562,10565,10658,10661,3487,4010,3381,3447,3378,3408,3390,4023,3606,11138,3480,4189,4738,10553,4785,11321,3653,3445,10623,4332,4191,11341,4803,11240,11489,4804,11374,4805,3465,3746,3915,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,4003,3533,4778,10530,10533,10559,10683,10858,11068,11083,11198,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,4294,4200,11135,4248,3916,4282,3933,10686,10783,11347,4795,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,3550,10678,10734,10968,11063,3551,4774,10570,10599,11107,11149,3702,10828,10919,11193,11237,11479,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,3610,10950,10980,10989,10992,3642,4071,4008,10602,4784,10550,10938,10941,11444,3570,10983,11143,4373,4781,4079,4766,4769,3526,3530,4768,4767,4797,10849,4802,11330,4157,3998,11256,11262,3847,4000,10986,3703,3814,10902,10905,10998,11169,4800,4801,10742,4430,4032,4798,10575,10578,10944,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289])). % 209.50/209.72 cnf(11500,plain, % 209.50/209.72 (~P106(f335(f335(f244(f934(x115001,a922)),x115002),f195(f934(x115001,a922))))), % 209.50/209.72 inference(rename_variables,[],[4795])). % 209.50/209.72 cnf(11503,plain, % 209.50/209.72 (~P106(f335(f335(f337(x115031),x115032),f195(f934(x115031,a922))))), % 209.50/209.72 inference(rename_variables,[],[4787])). % 209.50/209.72 cnf(11505,plain, % 209.50/209.72 (~P106(f335(f335(f337(x115051),x115052),f335(f318(x115053,x115051,x115054),f335(f318(x115055,x115053,x115056),f195(f934(x115055,a922))))))), % 209.50/209.72 inference(scs_inference,[],[3786,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,4725,10723,10823,11295,3338,3392,3510,10562,10565,10658,10661,3487,4010,3381,3447,3378,3408,3390,4023,3606,11138,3480,4189,4738,10553,4785,11321,3653,3445,10623,4332,4191,11341,4803,11240,11489,4804,11374,4805,3465,3746,3915,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,4003,3533,4778,10530,10533,10559,10683,10858,11068,11083,11198,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,4294,4200,11135,4248,3916,4282,3933,10686,10783,11347,4795,11086,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,3550,10678,10734,10968,11063,3551,4774,10570,10599,11107,11149,3702,10828,10919,11193,11237,11479,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,3610,10950,10980,10989,10992,3642,4071,4008,10602,4784,10550,10938,10941,11444,3570,10983,11143,4373,4781,4079,4766,4769,3526,3530,4768,4767,4797,10849,4802,11330,4157,3998,11256,11262,3847,4000,10986,3703,3814,10902,10905,10998,11169,4800,4801,10742,4430,4032,4798,10575,10578,10944,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315])). % 209.50/209.72 cnf(11510,plain, % 209.50/209.72 (P106(f335(f335(f243(f934(x115101,a922)),x115102),f250(f934(x115101,a922))))), % 209.50/209.72 inference(rename_variables,[],[3933])). % 209.50/209.72 cnf(11512,plain, % 209.50/209.72 (~P58(f928(x115121),f165(x115121,x115122))), % 209.50/209.72 inference(scs_inference,[],[3786,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,4725,10723,10823,11295,3338,3392,3510,10562,10565,10658,10661,3487,4010,3381,3447,3378,3408,3390,4023,3606,11138,3480,4189,4738,10553,4785,11321,3653,3445,10623,4332,4191,11341,4803,11240,11489,4804,11374,4805,3465,3746,3915,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,4003,3533,4778,10530,10533,10559,10683,10858,11068,11083,11198,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,4294,4200,11135,4248,3916,4282,3933,10686,10783,11347,11425,4795,11086,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,3550,10678,10734,10968,11063,3551,4774,10570,10599,11107,11149,3702,10828,10919,11193,11237,11479,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,3610,10950,10980,10989,10992,3642,4071,4008,10602,4784,10550,10938,10941,11444,3570,10983,11143,4373,4781,4079,4766,4769,3526,3530,4768,4767,4797,10849,4802,11330,4157,3998,11256,11262,3847,4000,10986,3703,3814,10902,10905,10998,11169,4800,4801,10742,4430,4032,4798,10575,10578,10944,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412])). % 209.50/209.72 cnf(11516,plain, % 209.50/209.72 (~P106(f335(f335(f263(x115161,x115162,a922,f335(f179(x115163),f120(x115163))),x115164),x115165))), % 209.50/209.72 inference(scs_inference,[],[3786,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,4725,10723,10823,11295,3338,3392,3510,10562,10565,10658,10661,3487,4010,3381,3447,3378,3408,3390,4023,3606,11138,3480,4189,4738,10553,4785,11321,3653,3445,10623,4332,4191,11341,4803,11240,11489,4804,11374,4805,3465,3746,3915,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,4003,3533,4778,10530,10533,10559,10683,10858,11068,11083,11198,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,4294,4200,11135,4248,3916,4282,3933,10686,10783,11347,11425,4795,11086,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,3550,10678,10734,10968,11063,3551,4774,10570,10599,11107,11149,3702,10828,10919,11193,11237,11479,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,3610,10950,10980,10989,10992,3642,4071,4008,10602,4784,10550,10938,10941,11444,3570,10983,11143,4373,4781,4079,4766,4769,3526,3530,4768,4767,4797,10849,4802,11330,4157,3998,11256,11262,3847,4000,10986,3703,3814,10902,10905,10998,11169,4800,4801,10742,4430,4032,4798,10575,10578,10944,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449])). % 209.50/209.72 cnf(11517,plain, % 209.50/209.72 (~P106(f335(f335(f179(x115171),f120(x115171)),x115172))), % 209.50/209.72 inference(rename_variables,[],[4783])). % 209.50/209.72 cnf(11522,plain, % 209.50/209.72 (~P106(f335(f335(f337(x115221),x115222),f195(f934(x115221,a922))))), % 209.50/209.72 inference(rename_variables,[],[4787])). % 209.50/209.72 cnf(11525,plain, % 209.50/209.72 (~P106(f335(f335(f337(f933(x115251,x115251)),f335(f335(f260(x115251,x115251),x115252),x115253)),f160(x115251,f120(f934(x115251,a927)))))), % 209.50/209.72 inference(rename_variables,[],[4802])). % 209.50/209.72 cnf(11528,plain, % 209.50/209.72 (P106(f335(f335(f243(f934(x115281,a922)),x115282),x115282))), % 209.50/209.72 inference(rename_variables,[],[3847])). % 209.50/209.72 cnf(11531,plain, % 209.50/209.72 (~P106(f335(f335(f337(x115311),x115312),f195(f934(x115311,a922))))), % 209.50/209.72 inference(rename_variables,[],[4787])). % 209.50/209.72 cnf(11533,plain, % 209.50/209.72 (P106(f335(f335(f243(f934(x115331,a922)),f335(f293(x115332,x115331,f195(f934(f933(x115332,x115331),a922))),x115333)),x115334))), % 209.50/209.72 inference(scs_inference,[],[3786,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,4725,10723,10823,11295,3338,3392,3510,10562,10565,10658,10661,3487,4010,3381,3447,3378,3408,3390,4023,3606,11138,3480,4189,4738,10553,4785,11321,3653,3445,10623,4332,4191,11341,4803,11240,11489,4804,11374,4805,3465,3746,3915,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,4003,3533,4778,10530,10533,10559,10683,10858,11068,11083,11198,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,4294,4200,11135,4248,3916,4282,3933,10686,10783,11347,11425,4795,11086,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,3550,10678,10734,10968,11063,3551,4774,10570,10599,11107,11149,3702,10828,10919,11193,11237,11479,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,3610,10950,10980,10989,10992,3642,4071,4008,10602,4784,10550,10938,10941,11444,3570,10983,11143,4373,4781,4079,4766,4769,3526,3530,4768,4767,4797,10849,4802,11330,11333,4157,3998,11256,11262,3847,11400,4000,10986,11363,3703,3814,10902,10905,10998,11169,4800,4801,10742,4430,4032,4798,10575,10578,10944,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514])). % 209.50/209.72 cnf(11534,plain, % 209.50/209.72 (P106(f335(f335(f243(f934(x115341,a922)),f195(f934(x115341,a922))),x115342))), % 209.50/209.72 inference(rename_variables,[],[4000])). % 209.50/209.72 cnf(11537,plain, % 209.50/209.72 (P106(f335(f335(f337(f933(x115371,x115371)),f335(f335(f260(x115371,x115371),x115372),x115372)),f315(x115371,x115373)))), % 209.50/209.72 inference(rename_variables,[],[4191])). % 209.50/209.72 cnf(11539,plain, % 209.50/209.72 (~P34(x115391,x115392,x115393,f335(f335(f161(x115394,x115391),x115395),f335(a119,f120(x115394))),f120(x115392))), % 209.50/209.72 inference(scs_inference,[],[3786,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,4725,10723,10823,11295,3338,3392,3510,10562,10565,10658,10661,3487,4010,3381,3447,3378,3408,3390,4023,3606,11138,3480,4189,4738,10553,4785,11321,3653,3445,10623,4332,4191,11341,11476,4803,11240,11489,4804,11374,4805,3465,3746,3915,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,4003,3533,4778,10530,10533,10559,10683,10858,11068,11083,11198,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,4294,4200,11135,4248,3916,4282,3933,10686,10783,11347,11425,4795,11086,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,3550,10678,10734,10968,11063,3551,4774,10570,10599,11107,11149,3702,10828,10919,11193,11237,11479,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,3610,10950,10980,10989,10992,3642,4071,4008,10602,4784,10550,10938,10941,11444,3570,10983,11143,4373,4781,4079,4766,4769,3526,3530,4768,4767,4797,10849,4802,11330,11333,4157,3998,11256,11262,3847,11400,4000,10986,11363,3703,3814,10902,10905,10998,11169,4800,4801,10742,4430,4032,4798,10575,10578,10944,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522])). % 209.50/209.72 cnf(11541,plain, % 209.50/209.72 (~E(f335(f335(f108(f934(f933(f928(x115411),f928(x115411)),a922)),f335(f294(f928(x115411),f928(x115411)),f165(x115411,x115412))),f315(f928(x115411),f165(x115411,x115412))),f195(f934(f933(f928(x115411),f928(x115411)),a922)))), % 209.50/209.72 inference(scs_inference,[],[3786,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,4725,10723,10823,11295,3338,3392,3510,10562,10565,10658,10661,3487,4010,3381,3447,3378,3408,3390,4023,3606,11138,3480,4189,4738,10553,4785,11321,3653,3445,10623,4332,4191,11341,11476,4803,11240,11489,4804,11374,4805,3465,3746,3915,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,4003,3533,4778,10530,10533,10559,10683,10858,11068,11083,11198,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,4294,4200,11135,4248,3916,4282,3933,10686,10783,11347,11425,4795,11086,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,3550,10678,10734,10968,11063,3551,4774,10570,10599,11107,11149,3702,10828,10919,11193,11237,11479,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,3610,10950,10980,10989,10992,3642,4071,4008,10602,4784,10550,10938,10941,11444,3570,10983,11143,4373,4781,4079,4766,4769,3526,3530,4768,4767,4797,10849,4802,11330,11333,4157,3998,11256,11262,3847,11400,4000,10986,11363,3703,3814,10902,10905,10998,11169,4800,4801,10742,4430,4032,4798,10575,10578,10944,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544])). % 209.50/209.72 cnf(11543,plain, % 209.50/209.72 (P34(x115431,x115432,x115433,f335(f335(f161(x115434,x115431),x115435),f121(x115434,f120(x115434))),f120(x115432))), % 209.50/209.72 inference(scs_inference,[],[3786,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,4725,10723,10823,11295,3338,3392,3510,10562,10565,10658,10661,3487,4010,3381,3447,3378,3408,3390,4023,3606,11138,3480,4189,4738,10553,4785,11321,3653,3445,10623,4332,4191,11341,11476,4803,11240,11489,4804,11374,4805,3465,3746,3915,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,4003,3533,4778,10530,10533,10559,10683,10858,11068,11083,11198,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,4294,4200,11135,4248,3916,4282,3933,10686,10783,11347,11425,4795,11086,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,3550,10678,10734,10968,11063,3551,4774,10570,10599,11107,11149,3702,10828,10919,11193,11237,11479,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,3610,10950,10980,10989,10992,3642,4071,4008,10602,4784,10550,10938,10941,11444,3570,10983,11143,4373,4781,4079,4766,4769,3526,3530,4768,4767,4797,10849,4802,11330,11333,4157,3998,11256,11262,3847,11400,4000,10986,11363,3703,3814,10902,10905,10998,11169,4800,4801,10742,4430,4032,4798,10575,10578,10944,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545])). % 209.50/209.72 cnf(11545,plain, % 209.50/209.72 (P106(f335(f335(f337(f933(a927,a927)),f335(f335(f260(a927,a927),x115451),f335(a119,x115451))),f315(a927,a325)))), % 209.50/209.72 inference(scs_inference,[],[3786,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,4725,10723,10823,11295,3338,3392,3510,10562,10565,10658,10661,3487,4010,3381,3447,3378,3408,3390,4023,3606,11138,3480,4189,4738,10553,4785,11321,3653,3445,10623,4332,4191,11341,11476,4803,11240,11489,4804,11374,4805,3465,3746,3915,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,4003,3533,4778,10530,10533,10559,10683,10858,11068,11083,11198,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,4294,4200,11135,4248,3916,4282,3933,10686,10783,11347,11425,4795,11086,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,3550,10678,10734,10968,11063,3551,4774,10570,10599,11107,11149,3702,10828,10919,11193,11237,11479,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,3610,10950,10980,10989,10992,3642,4071,4008,10602,4784,10550,10938,10941,11444,3570,10983,11143,4373,4781,4079,4766,4769,3526,3530,4768,4767,4797,10849,4802,11330,11333,4157,3998,11256,11262,3847,11400,4000,10986,11363,3703,3814,10902,10905,10998,11169,4800,4801,10742,4430,4032,4798,10575,10578,10944,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572])). % 209.50/209.72 cnf(11547,plain, % 209.50/209.72 (~P106(f335(f335(f337(f933(f928(x115471),f928(x115471))),f335(f335(f260(f928(x115471),f928(x115471)),x115472),f120(x115471))),f335(f294(f928(x115471),f928(x115471)),f164(x115471,x115473))))), % 209.50/209.72 inference(scs_inference,[],[3786,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,4725,10723,10823,11295,3338,3392,3510,10562,10565,10658,10661,3487,4010,3381,3447,3378,3408,3390,4023,3606,11138,3480,4189,4738,10553,4785,11321,3653,3445,10623,4332,4191,11341,11476,4803,11240,11489,4804,11374,4805,11495,3465,3746,3915,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,4003,3533,4778,10530,10533,10559,10683,10858,11068,11083,11198,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,4294,4200,11135,4248,3916,4282,3933,10686,10783,11347,11425,4795,11086,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,3550,10678,10734,10968,11063,3551,4774,10570,10599,11107,11149,3702,10828,10919,11193,11237,11479,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,3610,10950,10980,10989,10992,3642,4071,4008,10602,4784,10550,10938,10941,11444,3570,10983,11143,4373,4781,4079,4766,4769,3526,3530,4768,4767,4797,10849,4802,11330,11333,4157,3998,11256,11262,3847,11400,4000,10986,11363,3703,3814,10902,10905,10998,11169,4800,4801,10742,4430,4032,4798,10575,10578,10944,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634])). % 209.50/209.72 cnf(11548,plain, % 209.50/209.72 (~P106(f335(f335(f337(f933(f928(x115481),f928(x115481))),f335(f335(f260(f928(x115481),f928(x115481)),x115482),f120(x115481))),f164(x115481,x115483)))), % 209.50/209.72 inference(rename_variables,[],[4805])). % 209.50/209.72 cnf(11554,plain, % 209.50/209.72 (~P106(f335(f335(f337(f928(x115541)),f120(x115541)),f335(f272(f928(x115541),f928(x115541)),f152(x115541,x115542))))), % 209.50/209.72 inference(scs_inference,[],[3786,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,4725,10723,10823,11295,3338,3392,3510,10562,10565,10658,10661,3487,4010,3381,3447,3378,3408,3390,4023,3606,11138,3480,4189,4738,10553,4785,11321,3653,3445,10623,4332,4191,11341,11476,4803,11240,11489,4804,11374,4805,11495,4806,3465,3746,3915,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,4003,3533,4778,10530,10533,10559,10683,10858,11068,11083,11198,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,4294,4200,11135,4248,3916,4282,3933,10686,10783,11347,11425,4795,11086,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,3550,10678,10734,10968,11063,3551,4774,10570,10599,11107,11149,3702,10828,10919,11193,11237,11479,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,3610,10950,10980,10989,10992,3642,4071,4008,10602,4784,10550,10938,10941,11444,3570,10983,11143,4373,4781,4079,4766,4769,3526,3530,4768,4767,4797,10849,4802,11330,11333,4157,3998,11256,11262,3847,11400,4000,10986,11363,3703,3814,10902,10905,10998,11169,4800,4801,10742,4430,4032,4798,10575,10578,10944,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674])). % 209.50/209.72 cnf(11555,plain, % 209.50/209.72 (~P106(f335(f335(f337(f933(f928(x115551),f928(x115551))),f335(f335(f260(f928(x115551),f928(x115551)),f120(x115551)),x115552)),f152(x115551,x115553)))), % 209.50/209.72 inference(rename_variables,[],[4806])). % 209.50/209.72 cnf(11560,plain, % 209.50/209.72 (~P106(f335(f335(f337(f933(f934(x115601,a922),f934(x115601,a922))),f335(f335(f260(f934(x115601,a922),f934(x115601,a922)),x115602),f195(f934(x115601,a922)))),f322(x115601)))), % 209.50/209.72 inference(scs_inference,[],[3786,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,4725,10723,10823,11295,3338,3392,3510,10562,10565,10658,10661,3487,4010,3381,3447,3378,3408,3390,4023,3606,11138,3480,4189,4738,10553,4785,11321,3653,3445,10623,4332,4191,11341,11476,4803,11240,11489,4804,11374,4805,11495,4806,4807,3465,3746,3915,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,4003,3533,4778,10530,10533,10559,10683,10858,11068,11083,11198,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,4294,4200,11135,4248,3916,4282,3933,10686,10783,11347,11425,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,3550,10678,10734,10968,11063,3551,4774,10570,10599,11107,11149,3702,10828,10919,11193,11237,11479,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,3610,10950,10980,10989,10992,3642,4071,4008,10602,4784,10550,10938,10941,11444,3570,10983,11143,4373,4781,4079,4766,4769,3526,3530,4768,4767,4797,10849,4802,11330,11333,4157,3998,11256,11262,3847,11400,4000,10986,11363,3703,3814,10902,10905,10998,11169,4800,4801,10742,4430,4032,4798,10575,10578,10944,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676])). % 209.50/209.72 cnf(11563,plain, % 209.50/209.72 (P106(f335(f335(f337(x115631),x115632),f250(f934(x115631,a922))))), % 209.50/209.72 inference(rename_variables,[],[3702])). % 209.50/209.72 cnf(11568,plain, % 209.50/209.72 (P106(f335(f335(f243(f934(x115681,a922)),f195(f934(x115681,a922))),x115682))), % 209.50/209.72 inference(rename_variables,[],[4000])). % 209.50/209.72 cnf(11571,plain, % 209.50/209.72 (~P106(f335(f335(f337(x115711),x115712),f195(f934(x115711,a922))))), % 209.50/209.72 inference(rename_variables,[],[4787])). % 209.50/209.72 cnf(11574,plain, % 209.50/209.72 (P106(f335(f335(f243(f934(x115741,a922)),x115742),f250(f934(x115741,a922))))), % 209.50/209.72 inference(rename_variables,[],[3933])). % 209.50/209.72 cnf(11576,plain, % 209.50/209.72 (P106(f335(f335(f243(f934(f933(x115761,x115761),a922)),f335(f335(f297(x115761,x115761,x115761),f271(x115761,x115762)),f315(x115761,f271(x115761,x115762)))),f335(f335(f262(x115761,x115761),x115762),f335(f16(f934(x115761,a922),x115761),x115762))))), % 209.50/209.72 inference(scs_inference,[],[3786,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,4725,10723,10823,11295,3338,3392,3510,10562,10565,10658,10661,3487,4010,3381,3447,3378,3408,3390,4023,3606,11138,3480,4189,4738,10553,4785,11321,3653,3445,10623,4332,4191,11341,11476,4803,11240,11489,4804,11374,4805,11495,4806,4807,3465,3746,3915,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,4003,3533,4778,10530,10533,10559,10683,10858,11068,11083,11198,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,4294,4200,11135,4248,3916,4282,3933,10686,10783,11347,11425,11510,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,3550,10678,10734,10968,11063,3551,4774,10570,10599,11107,11149,3702,10828,10919,11193,11237,11479,11482,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,3610,10950,10980,10989,10992,3642,4071,4008,10602,4784,10550,10938,10941,11444,3570,10983,11143,4373,4781,4079,4766,4769,3526,3530,4768,4767,4797,10849,4802,11330,11333,4157,3998,11256,11262,3847,11400,4000,10986,11363,11534,3703,3814,10902,10905,10998,11169,4800,4801,10742,4430,4336,4032,4798,10575,10578,10944,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756])). % 209.50/209.72 cnf(11578,plain, % 209.50/209.72 (P106(f335(f335(f243(f934(x115781,a922)),f335(f293(x115782,x115781,x115783),f195(f934(x115782,a922)))),x115784))), % 209.50/209.72 inference(scs_inference,[],[3786,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,4725,10723,10823,11295,3338,3392,3510,10562,10565,10658,10661,3487,4010,3381,3447,3378,3408,3390,4023,3606,11138,3480,4189,4738,10553,4785,11321,3653,3445,10623,4332,4191,11341,11476,4803,11240,11489,4804,11374,4805,11495,4806,4807,3465,3746,3915,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,4003,3533,4778,10530,10533,10559,10683,10858,11068,11083,11198,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,4294,4200,11135,4248,3916,4282,3933,10686,10783,11347,11425,11510,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,3550,10678,10734,10968,11063,3551,4774,10570,10599,11107,11149,3702,10828,10919,11193,11237,11479,11482,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,3610,10950,10980,10989,10992,3642,4071,4008,10602,4784,10550,10938,10941,11444,3570,10983,11143,4373,4781,4079,4766,4769,3526,3530,4768,4767,4797,10849,4802,11330,11333,4157,3998,11256,11262,3847,11400,4000,10986,11363,11534,11568,3703,3814,10902,10905,10998,11169,4800,4801,10742,4430,4336,4032,4798,10575,10578,10944,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781])). % 209.50/209.72 cnf(11579,plain, % 209.50/209.72 (P106(f335(f335(f243(f934(x115791,a922)),f195(f934(x115791,a922))),x115792))), % 209.50/209.72 inference(rename_variables,[],[4000])). % 209.50/209.72 cnf(11581,plain, % 209.50/209.72 (~P106(f335(f71(a927,x115811,x115812,x115813,f250(f934(a927,a922))),x115814))), % 209.50/209.72 inference(scs_inference,[],[3786,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,4725,10723,10823,11295,3338,3392,3510,10562,10565,10658,10661,3487,4010,3381,3447,3378,3408,3390,4023,3606,11138,3480,4189,4738,10553,4785,11321,3653,3445,10623,4332,4191,11341,11476,4803,11240,11489,4804,11374,4805,11495,4806,4807,3465,3746,3915,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,4003,3533,4778,10530,10533,10559,10683,10858,11068,11083,11198,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,4294,4200,11135,4248,3916,4282,3933,10686,10783,11347,11425,11510,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,3550,10678,10734,10968,11063,3551,4774,10570,10599,11107,11149,3702,10828,10919,11193,11237,11479,11482,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,3610,10950,10980,10989,10992,3642,4071,4008,10602,4784,10550,10938,10941,11444,3570,10983,11143,4373,4781,4079,4766,4769,3526,3530,4768,4767,4797,10849,4802,11330,11333,4157,3998,11256,11262,3847,11400,4000,10986,11363,11534,11568,3703,3814,10902,10905,10998,11169,4800,4801,10742,4430,4336,4032,4798,10575,10578,10944,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802])). % 209.50/209.72 cnf(11592,plain, % 209.50/209.72 (P106(f335(f250(f934(x115921,a922)),x115922))), % 209.50/209.72 inference(rename_variables,[],[3610])). % 209.50/209.72 cnf(11600,plain, % 209.50/209.72 (~P106(f335(f335(f337(f933(f928(x116001),f928(x116001))),f335(f335(f260(f928(x116001),f928(x116001)),x116002),f120(x116001))),f152(x116001,x116003)))), % 209.50/209.72 inference(rename_variables,[],[4803])). % 209.50/209.72 cnf(11603,plain, % 209.50/209.72 (~P106(f335(f335(f337(f933(f928(x116031),f928(x116031))),f335(f335(f260(f928(x116031),f928(x116031)),x116032),f120(x116031))),f154(x116031,x116033)))), % 209.50/209.72 inference(rename_variables,[],[4804])). % 209.50/209.72 cnf(11606,plain, % 209.50/209.72 (~E(f335(f335(f158(x116061),x116062),x116063),x116063)), % 209.50/209.72 inference(rename_variables,[],[4738])). % 209.50/209.72 cnf(11609,plain, % 209.50/209.72 (~E(f335(a119,x116091),x116091)), % 209.50/209.72 inference(rename_variables,[],[4713])). % 209.50/209.72 cnf(11612,plain, % 209.50/209.72 (~P106(f335(f335(f337(x116121),x116122),f195(f934(x116121,a922))))), % 209.50/209.72 inference(rename_variables,[],[4787])). % 209.50/209.72 cnf(11614,plain, % 209.50/209.72 (~P106(f335(f335(f337(x116141),x116142),f335(f293(x116143,x116141,x116144),f335(f293(x116145,x116143,x116146),f195(f934(x116145,a922))))))), % 209.50/209.72 inference(scs_inference,[],[3786,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,4725,10723,10823,11295,3338,3392,3510,10562,10565,10658,10661,3487,4010,3381,3447,3378,3408,3390,4023,3606,11138,3480,4189,4738,10553,10720,4785,11321,3653,3445,10623,4332,4191,11341,11476,4803,11240,11489,4804,11374,11492,4805,11495,4806,11555,4807,3465,3746,3915,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,4003,3533,4778,10530,10533,10559,10683,10858,11068,11083,11198,4791,3990,3755,4139,3576,3578,3552,4775,4733,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,4294,4200,11135,4248,3916,4282,3933,10686,10783,11347,11425,11510,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,3550,10678,10734,10968,11063,3551,4774,10570,10599,11107,11149,3702,10828,10919,11193,11237,11479,11482,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,3610,10950,10980,10989,10992,10995,3642,4071,4008,10602,4784,10550,10938,10941,11444,3570,10983,11143,4373,4781,4079,4766,4769,3526,3530,4768,4767,4797,10849,4802,11330,11333,4157,3998,11256,11262,3847,11400,4000,10986,11363,11534,11568,3703,3814,10902,10905,10998,11169,4800,4801,10742,4430,4336,4032,4798,10575,10578,10944,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920])). % 209.50/209.72 cnf(11617,plain, % 209.50/209.72 (~P106(f335(f335(f337(x116171),x116172),f195(f934(x116171,a922))))), % 209.50/209.72 inference(rename_variables,[],[4787])). % 209.50/209.72 cnf(11620,plain, % 209.50/209.72 (~P106(f335(f335(f337(x116201),x116202),f195(f934(x116201,a922))))), % 209.50/209.72 inference(rename_variables,[],[4787])). % 209.50/209.72 cnf(11623,plain, % 209.50/209.72 (P106(f335(f335(f337(f933(f928(x116231),f928(x116231))),f335(f335(f260(f928(x116231),f928(x116231)),x116232),x116232)),f165(x116231,f315(x116231,x116233))))), % 209.50/209.72 inference(rename_variables,[],[4325])). % 209.50/209.72 cnf(11626,plain, % 209.50/209.72 (~P106(f335(f335(f337(f933(f928(x116261),f928(x116261))),f335(f335(f260(f928(x116261),f928(x116261)),x116262),f120(x116261))),f152(x116261,x116263)))), % 209.50/209.72 inference(rename_variables,[],[4803])). % 209.50/209.72 cnf(11636,plain, % 209.50/209.72 (~P106(f335(f335(f337(f933(x116361,x116361)),f335(f335(f260(x116361,x116361),x116362),x116363)),f160(x116361,f120(f934(x116361,a927)))))), % 209.50/209.72 inference(rename_variables,[],[4802])). % 209.50/209.72 cnf(11639,plain, % 209.50/209.72 (~P106(f335(f335(f337(x116391),x116392),f195(f934(x116391,a922))))), % 209.50/209.72 inference(rename_variables,[],[4787])). % 209.50/209.72 cnf(11642,plain, % 209.50/209.72 (~P106(f335(f335(f337(x116421),x116422),f195(f934(x116421,a922))))), % 209.50/209.72 inference(rename_variables,[],[4787])). % 209.50/209.72 cnf(11645,plain, % 209.50/209.72 (~P106(f335(f335(f195(f934(x116451,f934(x116452,a922))),x116453),x116454))), % 209.50/209.72 inference(rename_variables,[],[4801])). % 209.50/209.72 cnf(11648,plain, % 209.50/209.72 (P106(f335(f335(f337(x116481),x116482),f250(f934(x116481,a922))))), % 209.50/209.72 inference(rename_variables,[],[3702])). % 209.50/209.72 cnf(11651,plain, % 209.50/209.72 (~P106(f335(f335(f244(a927),x116511),f2(a927)))), % 209.50/209.72 inference(rename_variables,[],[4778])). % 209.50/209.72 cnf(11655,plain, % 209.50/209.72 (~P106(f335(f335(f337(f933(f928(x116551),f928(x116551))),f335(f335(f260(f928(x116551),f928(x116551)),x116552),x116553)),f164(x116551,f160(x116551,f120(f934(x116551,a927))))))), % 209.50/209.72 inference(scs_inference,[],[3786,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,4725,10723,10823,11295,3338,3392,3510,10562,10565,10658,10661,3487,4010,3381,3447,3378,3408,3390,4023,3606,11138,3480,4189,4738,10553,10720,4785,11321,3653,3445,10623,4332,4191,11341,11476,4803,11240,11489,11600,4804,11374,11492,4805,11495,4806,11555,4807,3465,3746,3915,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,4003,3533,4778,10530,10533,10559,10683,10858,11068,11083,11198,4791,3990,3755,4139,3576,3578,3552,4775,4733,4325,11623,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,4294,4200,11135,4248,3916,4282,3933,10686,10783,11347,11425,11510,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,3550,10678,10734,10968,11063,3551,4774,10570,10599,11107,11149,3702,10828,10919,11193,11237,11479,11482,11563,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,3610,10950,10980,10989,10992,10995,3642,4071,4008,10602,4784,10550,10938,10941,11444,3570,10983,11143,4373,4781,4079,4766,4769,3526,3530,4768,4767,4797,10849,4802,11330,11333,11525,11636,4157,3998,11256,11262,3847,11400,4000,10986,11363,11534,11568,3703,3814,10902,10905,10998,11169,4800,4801,10742,10855,4430,4336,4032,4798,10575,10578,10944,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114])). % 209.50/209.72 cnf(11656,plain, % 209.50/209.72 (~P106(f335(f335(f337(f933(x116561,x116561)),f335(f335(f260(x116561,x116561),x116562),x116563)),f160(x116561,f120(f934(x116561,a927)))))), % 209.50/209.72 inference(rename_variables,[],[4802])). % 209.50/209.72 cnf(11664,plain, % 209.50/209.72 (~E(f335(f266(x116641,x116642,x116643,x116643,f318(x116644,f934(x116644,a922),x116645),f25(x116643)),x116646),f335(f266(x116641,x116642,x116643,x116643,f316(x116644),f25(x116643)),x116646))), % 209.50/209.72 inference(scs_inference,[],[3786,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,4725,10723,10823,11295,3338,3392,3510,10562,10565,10658,10661,3487,4010,3381,3447,3378,3408,3390,4023,3606,11138,3480,4189,4738,10553,10720,4785,11321,11420,3653,3445,10623,4332,4191,11341,11476,4803,11240,11489,11600,4804,11374,11492,4805,11495,4806,11555,4807,3465,3746,3915,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,4003,3533,4778,10530,10533,10559,10683,10858,11068,11083,11198,4791,3990,3755,4139,3576,3578,3552,4775,4733,4325,11623,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,4294,4200,11135,4248,3916,4282,3933,10686,10783,11347,11425,11510,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,3550,10678,10734,10968,11063,3551,4774,10570,10599,11107,11149,3702,10828,10919,11193,11237,11479,11482,11563,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,3610,10950,10980,10989,10992,10995,3642,4071,4008,10602,4784,10550,10938,10941,11444,3570,10983,11143,4373,4781,4079,4766,4769,3526,3530,4768,4767,4797,10849,4802,11330,11333,11525,11636,4157,3998,11256,11262,3847,11400,4000,10986,11363,11534,11568,3703,3814,10902,10905,10998,11169,4800,4801,10742,10855,4430,4336,4032,4798,10575,10578,10944,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165])). % 209.50/209.72 cnf(11665,plain, % 209.50/209.72 (~E(f335(f318(x116651,f934(x116651,a922),x116652),x116653),f335(f316(x116651),x116653))), % 209.50/209.72 inference(rename_variables,[],[4785])). % 209.50/209.72 cnf(11668,plain, % 209.50/209.72 (~E(f335(f318(x116681,f934(x116681,a922),x116682),x116683),f335(f316(x116681),x116683))), % 209.50/209.72 inference(rename_variables,[],[4785])). % 209.50/209.72 cnf(11670,plain, % 209.50/209.72 (E(f335(f335(f260(a927,a927),f667(f315(a927,a325),a325,a927,f335(f335(f260(a927,a927),x116701),f335(a119,x116701)),a927,a927)),f668(f315(a927,a325),a325,a927,f335(f335(f260(a927,a927),x116701),f335(a119,x116701)),a927,a927)),f335(f335(f260(a927,a927),x116701),f335(a119,x116701)))), % 209.50/209.72 inference(scs_inference,[],[3786,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,4725,10723,10823,11295,3338,3392,3510,10562,10565,10658,10661,3487,4010,3381,3447,3378,3408,3390,4023,3606,11138,3480,4189,4738,10553,10720,4785,11321,11420,11665,3653,3445,10623,4332,4191,11341,11476,4803,11240,11489,11600,4804,11374,11492,4805,11495,4806,11555,4807,3465,3746,3915,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,4003,3533,4778,10530,10533,10559,10683,10858,11068,11083,11198,4791,3990,3755,4139,3576,3578,3552,4775,4733,4325,11623,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,4294,4200,11135,4248,3916,4282,3933,10686,10783,11347,11425,11510,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,3550,10678,10734,10968,11063,3551,4774,10570,10599,11107,11149,3702,10828,10919,11193,11237,11479,11482,11563,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,3610,10950,10980,10989,10992,10995,3642,4071,4008,10602,4784,10550,10938,10941,11444,3570,10983,11143,4373,4781,4079,4766,4769,3526,3530,4768,4767,4797,10849,4802,11330,11333,11525,11636,4157,3998,11256,11262,3847,11400,4000,10986,11363,11534,11568,3703,3814,10902,10905,10998,11169,4800,4801,10742,10855,4430,4336,4032,4798,10575,10578,10944,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168])). % 209.50/209.72 cnf(11673,plain, % 209.50/209.72 (~P106(f335(f335(f337(f933(f928(x116731),f928(x116731))),f335(f335(f260(f928(x116731),f928(x116731)),x116732),f120(x116731))),f152(x116731,x116733)))), % 209.50/209.72 inference(rename_variables,[],[4803])). % 209.50/209.72 cnf(11676,plain, % 209.50/209.72 (~P106(f335(f335(f337(f933(f928(x116761),f928(x116761))),f335(f335(f260(f928(x116761),f928(x116761)),x116762),f120(x116761))),f154(x116761,x116763)))), % 209.50/209.72 inference(rename_variables,[],[4804])). % 209.50/209.72 cnf(11679,plain, % 209.50/209.72 (~P106(f335(f335(f337(f933(f928(x116791),f928(x116791))),f335(f335(f260(f928(x116791),f928(x116791)),x116792),f120(x116791))),f152(x116791,x116793)))), % 209.50/209.72 inference(rename_variables,[],[4803])). % 209.50/209.72 cnf(11682,plain, % 209.50/209.72 (~P106(f335(f335(f337(x116821),x116822),f195(f934(x116821,a922))))), % 209.50/209.72 inference(rename_variables,[],[4787])). % 209.50/209.72 cnf(11686,plain, % 209.50/209.72 (~P106(f335(f335(f337(f933(x116861,x116862)),x116863),f335(f335(f297(x116861,x116864,x116862),f195(f934(f933(x116861,x116864),a922))),x116865)))), % 209.50/209.72 inference(scs_inference,[],[3786,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,4725,10723,10823,11295,3338,3392,3510,10562,10565,10658,10661,3487,4010,3381,3447,3378,3408,3390,4023,3606,11138,3480,4189,4738,10553,10720,4785,11321,11420,11665,3653,3445,10623,4332,4191,11341,11476,11537,4803,11240,11489,11600,11626,11673,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,3915,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,4003,3533,4778,10530,10533,10559,10683,10858,11068,11083,11198,4791,3990,3755,4139,3576,3578,3552,4775,4733,4325,11623,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,4294,4200,11135,4248,3916,4282,3933,10686,10783,11347,11425,11510,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,3550,10678,10734,10968,11063,3551,4774,10570,10599,11107,11149,3702,10828,10919,11193,11237,11479,11482,11563,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,3610,10950,10980,10989,10992,10995,3642,4071,4008,10602,4784,10550,10938,10941,11444,3570,10983,11143,4373,4781,4079,4766,4769,3526,3530,4768,4767,4797,10849,4802,11330,11333,11525,11636,4157,3998,11256,11262,3847,11400,4000,10986,11363,11534,11568,3703,3814,10902,10905,10998,11169,4800,4801,10742,10855,4430,4336,4032,4798,10575,10578,10944,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390])). % 209.50/209.72 cnf(11687,plain, % 209.50/209.72 (~P106(f335(f335(f337(x116871),x116872),f195(f934(x116871,a922))))), % 209.50/209.72 inference(rename_variables,[],[4787])). % 209.50/209.72 cnf(11690,plain, % 209.50/209.72 (~P106(f335(f335(f337(x116901),x116902),f195(f934(x116901,a922))))), % 209.50/209.72 inference(rename_variables,[],[4787])). % 209.50/209.72 cnf(11693,plain, % 209.50/209.72 (~P106(f335(f335(f337(x116931),x116932),f195(f934(x116931,a922))))), % 209.50/209.72 inference(rename_variables,[],[4787])). % 209.50/209.72 cnf(11696,plain, % 209.50/209.72 (~P106(f335(f335(f337(x116961),x116962),f195(f934(x116961,a922))))), % 209.50/209.72 inference(rename_variables,[],[4787])). % 209.50/209.72 cnf(11699,plain, % 209.50/209.72 (P106(f335(f335(f337(x116991),f335(x116992,x116993)),f335(f318(x116994,x116991,x116992),f250(f934(x116994,a922)))))), % 209.50/209.72 inference(rename_variables,[],[4157])). % 209.50/209.72 cnf(11701,plain, % 209.50/209.72 (~P106(f335(f335(f337(f933(x117011,x117012)),x117013),f335(f318(f933(x117014,x117014),f933(x117011,x117012),f266(x117014,x117011,x117014,x117012,x117015,x117016)),f160(x117014,f120(f934(x117014,a927))))))), % 209.50/209.72 inference(scs_inference,[],[3786,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,4725,10723,10823,11295,3338,3392,3510,10562,10565,10658,10661,3487,4010,3381,3447,3378,3408,3390,4023,3606,11138,3480,4189,4738,10553,10720,4785,11321,11420,11665,3653,3445,10623,4332,4191,11341,11476,11537,4803,11240,11489,11600,11626,11673,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,3915,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,4003,3533,4778,10530,10533,10559,10683,10858,11068,11083,11198,4791,3990,3755,4139,3576,3578,3552,4775,4733,4325,11623,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,4294,4200,11135,4248,3916,4282,3933,10686,10783,11347,11425,11510,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,3550,10678,10734,10968,11063,3551,4774,10570,10599,11107,11149,3702,10828,10919,11193,11237,11479,11482,11563,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,3610,10950,10980,10989,10992,10995,3642,4071,4008,10602,4784,10550,10938,10941,11444,3570,10983,11143,4373,4781,4079,4766,4769,3526,3530,4768,4767,4797,10849,4802,11330,11333,11525,11636,11656,4157,3998,11256,11262,3847,11400,4000,10986,11363,11534,11568,3703,3814,10902,10905,10998,11169,4800,4801,10742,10855,4430,4336,4032,4798,10575,10578,10944,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474])). % 209.50/209.72 cnf(11702,plain, % 209.50/209.72 (~P106(f335(f335(f337(f933(x117021,x117021)),f335(f335(f260(x117021,x117021),x117022),x117023)),f160(x117021,f120(f934(x117021,a927)))))), % 209.50/209.72 inference(rename_variables,[],[4802])). % 209.50/209.72 cnf(11710,plain, % 209.50/209.72 (E(f121(x117101,f120(x117101)),f120(x117101))), % 209.50/209.72 inference(rename_variables,[],[3392])). % 209.50/209.72 cnf(11713,plain, % 209.50/209.72 (~E(f335(a119,x117131),x117131)), % 209.50/209.72 inference(rename_variables,[],[4713])). % 209.50/209.72 cnf(11720,plain, % 209.50/209.72 (~E(f335(a119,x117201),x117201)), % 209.50/209.72 inference(rename_variables,[],[4713])). % 209.50/209.72 cnf(11725,plain, % 209.50/209.72 (E(f335(f292(x117251,x117251),f271(x117251,x117252)),x117252)), % 209.50/209.72 inference(rename_variables,[],[3510])). % 209.50/209.72 cnf(11728,plain, % 209.50/209.72 (E(f335(f292(x117281,x117281),f271(x117281,x117282)),x117282)), % 209.50/209.72 inference(rename_variables,[],[3510])). % 209.50/209.72 cnf(11734,plain, % 209.50/209.72 (~E(f335(a119,x117341),x117341)), % 209.50/209.72 inference(rename_variables,[],[4713])). % 209.50/209.72 cnf(11739,plain, % 209.50/209.72 (~E(f335(f335(f86(a1),x117391),x117391),a104)), % 209.50/209.72 inference(rename_variables,[],[4736])). % 209.50/209.72 cnf(11746,plain, % 209.50/209.72 (E(f335(f335(f23(a927),f2(a927)),x117461),f2(a927))), % 209.50/209.72 inference(rename_variables,[],[3466])). % 209.50/209.72 cnf(11749,plain, % 209.50/209.72 (~P106(f335(f335(f244(a927),x117491),f2(a927)))), % 209.50/209.72 inference(rename_variables,[],[4778])). % 209.50/209.72 cnf(11756,plain, % 209.50/209.72 (E(f335(f335(f86(a1),f335(f335(f87(a1),x117561),f335(f335(f41(a1),x117562),x117561))),f50(a1,x117562,x117561)),x117562)), % 209.50/209.72 inference(rename_variables,[],[4104])). % 209.50/209.72 cnf(11780,plain, % 209.50/209.72 (~E(f335(a119,x117801),x117801)), % 209.50/209.72 inference(rename_variables,[],[4713])). % 209.50/209.72 cnf(11783,plain, % 209.50/209.72 (~E(f335(a119,x117831),x117831)), % 209.50/209.72 inference(rename_variables,[],[4713])). % 209.50/209.72 cnf(11809,plain, % 209.50/209.72 (~P106(f335(f335(f179(x118091),f120(x118091)),x118092))), % 209.50/209.72 inference(rename_variables,[],[4783])). % 209.50/209.72 cnf(11815,plain, % 209.50/209.72 (P106(f335(f335(f244(a927),f2(a927)),f335(a119,x118151)))), % 209.50/209.72 inference(rename_variables,[],[3629])). % 209.50/209.72 cnf(11816,plain, % 209.50/209.72 (~E(f335(a119,x118161),x118161)), % 209.50/209.72 inference(rename_variables,[],[4713])). % 209.50/209.72 cnf(11819,plain, % 209.50/209.72 (P106(f335(f335(f337(x118191),x118192),f250(f934(x118191,a922))))), % 209.50/209.72 inference(rename_variables,[],[3702])). % 209.50/209.72 cnf(11831,plain, % 209.50/209.72 (~E(f335(a119,x118311),x118311)), % 209.50/209.72 inference(rename_variables,[],[4713])). % 209.50/209.72 cnf(11834,plain, % 209.50/209.72 (P106(f335(f335(f243(a1),x118341),x118341))), % 209.50/209.72 inference(rename_variables,[],[3550])). % 209.50/209.72 cnf(11841,plain, % 209.50/209.72 (P106(f335(f71(x118411,x118412,x118413,x118414,f195(f934(x118411,a922))),x118414))), % 209.50/209.72 inference(rename_variables,[],[4469])). % 209.50/209.72 cnf(11842,plain, % 209.50/209.72 (E(f335(f292(x118421,x118421),f271(x118421,x118422)),x118422)), % 209.50/209.72 inference(rename_variables,[],[3510])). % 209.50/209.72 cnf(11855,plain, % 209.50/209.72 (~P106(f335(f335(f244(a927),f335(f335(f86(a927),x118551),x118552)),x118552))), % 209.50/209.72 inference(rename_variables,[],[4798])). % 209.50/209.72 cnf(11858,plain, % 209.50/209.72 (~P106(f335(f335(f244(a1),f335(f107(a1),x118581)),f2(a1)))), % 209.50/209.72 inference(rename_variables,[],[4791])). % 209.50/209.72 cnf(11870,plain, % 209.50/209.72 (~E(f335(f335(f158(x118701),x118702),f335(f335(f141(x118701),f121(x118701,f120(x118701))),x118703)),x118703)), % 209.50/209.72 inference(scs_inference,[],[3786,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,3470,4725,10723,10823,11295,3157,3159,3167,3168,3175,3184,3191,3203,3218,3242,3243,3248,3252,3299,3300,3302,3318,3322,3338,4709,3392,11710,3510,10562,10565,10658,10661,10977,11725,11728,3487,4010,3381,4104,11756,3447,3378,3408,3390,4023,3606,11138,3480,4189,4738,10553,10720,4785,11321,11420,11665,11668,3653,3444,3445,10623,10953,3359,3466,11746,4332,4191,11341,11476,11537,4803,11240,11489,11600,11626,11673,11679,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,3915,4736,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,4003,3533,3629,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,4791,3990,3755,4139,3576,3578,3552,4775,4733,3739,4792,4325,11623,3873,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,4294,4200,11135,4248,3916,4282,3933,10686,10783,11347,11425,11510,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,3550,10678,10734,10968,11063,11185,3551,4774,10570,10599,11107,11149,3702,10828,10919,11193,11237,11479,11482,11563,11648,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,3610,10950,10980,10989,10992,10995,3642,4071,4008,10602,4784,10550,10938,10941,11444,11460,3570,10983,11143,4373,4781,4079,4766,4769,3526,3530,4768,4767,4469,4797,10849,10852,4802,11330,11333,11525,11636,11656,4157,3998,11256,11262,3847,11400,4000,10986,11363,11534,11568,3703,3814,10902,10905,10998,11169,4800,4801,10742,10855,4430,4336,4032,4798,10575,10578,10944,10947,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604])). % 209.50/209.72 cnf(11872,plain, % 209.50/209.72 (~E(f335(f335(f108(a927),f335(a119,x118721)),x118721),f335(a119,x118721))), % 209.50/209.72 inference(scs_inference,[],[3786,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,3470,4725,10723,10823,11295,3157,3159,3167,3168,3175,3184,3187,3191,3203,3218,3242,3243,3248,3252,3299,3300,3302,3318,3322,3338,4709,3392,11710,3510,10562,10565,10658,10661,10977,11725,11728,3487,4010,3381,4104,11756,3447,3378,3408,3390,4023,3606,11138,3480,4189,4738,10553,10720,4785,11321,11420,11665,11668,3653,3444,3445,10623,10953,3359,3466,11746,4332,4191,11341,11476,11537,4803,11240,11489,11600,11626,11673,11679,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,3915,4736,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,4003,3533,3629,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,4791,3990,3755,4139,3576,3578,3552,4775,4733,3739,4792,4325,11623,3873,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,4294,4200,11135,4248,3916,4282,3933,10686,10783,11347,11425,11510,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,3550,10678,10734,10968,11063,11185,3551,4774,10570,10599,11107,11149,3702,10828,10919,11193,11237,11479,11482,11563,11648,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,3610,10950,10980,10989,10992,10995,3642,4071,4008,10602,4784,10550,10938,10941,11444,11460,3570,10983,11143,4373,4781,4079,4766,4769,3526,3530,4768,4767,4469,4797,10849,10852,4802,11330,11333,11525,11636,11656,4157,3998,11256,11262,3847,11400,4000,10986,11363,11534,11568,3703,3814,10902,10905,10998,11169,4800,4801,10742,10855,4430,4336,4032,4798,10575,10578,10944,10947,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608])). % 209.50/209.72 cnf(11881,plain, % 209.50/209.72 (E(f335(f292(x118811,x118811),f271(x118811,x118812)),x118812)), % 209.50/209.72 inference(rename_variables,[],[3510])). % 209.50/209.72 cnf(11886,plain, % 209.50/209.72 (E(f335(f292(x118861,x118861),f271(x118861,x118862)),x118862)), % 209.50/209.72 inference(rename_variables,[],[3510])). % 209.50/209.72 cnf(11889,plain, % 209.50/209.72 (~P106(f335(f335(f244(a1),f335(f107(a1),x118891)),f2(a1)))), % 209.50/209.72 inference(rename_variables,[],[4791])). % 209.50/209.72 cnf(11894,plain, % 209.50/209.72 (~E(f335(a119,x118941),x118941)), % 209.50/209.72 inference(rename_variables,[],[4713])). % 209.50/209.72 cnf(11903,plain, % 209.50/209.72 (~P106(f335(f335(f179(x119031),f120(x119031)),x119032))), % 209.50/209.72 inference(rename_variables,[],[4783])). % 209.50/209.72 cnf(11924,plain, % 209.50/209.72 (~P106(f335(f335(f244(a1),f335(f107(a1),x119241)),f2(a1)))), % 209.50/209.72 inference(rename_variables,[],[4791])). % 209.50/209.72 cnf(11927,plain, % 209.50/209.72 (~P106(f335(f335(f244(a927),x119271),f2(a927)))), % 209.50/209.72 inference(rename_variables,[],[4778])). % 209.50/209.72 cnf(11928,plain, % 209.50/209.72 (P106(f335(f335(f244(a927),x119281),f335(a119,x119281)))), % 209.50/209.72 inference(rename_variables,[],[3617])). % 209.50/209.72 cnf(11931,plain, % 209.50/209.72 (~P106(f335(f335(f244(a1),f335(f107(a1),x119311)),f2(a1)))), % 209.50/209.72 inference(rename_variables,[],[4791])). % 209.50/209.72 cnf(11933,plain, % 209.50/209.72 (~P15(x119331,f337(f934(x119332,a922)))), % 209.50/209.72 inference(scs_inference,[],[3786,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,3470,4725,10723,10823,11295,3157,3159,3160,3167,3168,3175,3184,3187,3188,3191,3193,3194,3203,3218,3242,3243,3248,3252,3299,3300,3302,3318,3322,3338,4709,3392,11710,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,3487,4010,3381,4104,11756,3447,3378,3408,3403,3390,3391,4023,3606,11138,3480,4189,4738,10553,10720,4785,11321,11420,11665,11668,3653,3444,3445,10623,10953,3359,3466,11746,4332,4191,11341,11476,11537,4803,11240,11489,11600,11626,11673,11679,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,3915,4736,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,4003,3533,3629,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,4791,11858,11889,11924,3990,3755,4139,3576,3578,3552,4775,4733,3739,4792,4325,11623,3873,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,4294,4200,11135,4248,3916,4282,3933,10686,10783,11347,11425,11510,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,3550,10678,10734,10968,11063,11185,3551,4774,10570,10599,11107,11149,3702,10828,10919,11193,11237,11479,11482,11563,11648,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,3610,10950,10980,10989,10992,10995,3649,3642,4071,4008,10602,4784,10550,10938,10941,11444,11460,3570,10983,11143,4373,4781,4079,4766,4769,3526,3530,4768,4767,4469,4797,10849,10852,4802,11330,11333,11525,11636,11656,4157,3998,11256,11262,3847,11400,4000,10986,11363,11534,11568,3703,3814,10902,10905,10998,11169,4800,4801,10742,10855,4430,4336,4032,4798,10575,10578,10944,10947,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770])). % 209.50/209.72 cnf(11934,plain, % 209.50/209.72 (~P106(f335(f335(f337(x119341),x119342),f195(f934(x119341,a922))))), % 209.50/209.72 inference(rename_variables,[],[4787])). % 209.50/209.72 cnf(11935,plain, % 209.50/209.72 (P106(f335(f335(f337(f934(x119351,a922)),x119352),f335(f316(x119351),x119352)))), % 209.50/209.72 inference(rename_variables,[],[3916])). % 209.50/209.72 cnf(11950,plain, % 209.50/209.72 (~P106(f335(f335(f243(a927),f335(a119,x119501)),x119501))), % 209.50/209.72 inference(rename_variables,[],[4784])). % 209.50/209.72 cnf(11951,plain, % 209.50/209.72 (~E(f335(a119,x119511),x119511)), % 209.50/209.72 inference(rename_variables,[],[4713])). % 209.50/209.72 cnf(11961,plain, % 209.50/209.72 (~P106(f335(f335(f244(a927),f335(f335(f86(a927),x119611),x119612)),x119611))), % 209.50/209.72 inference(rename_variables,[],[4799])). % 209.50/209.72 cnf(11964,plain, % 209.50/209.72 (~P106(f335(f335(f244(a1),f335(f107(a1),x119641)),f2(a1)))), % 209.50/209.72 inference(rename_variables,[],[4791])). % 209.50/209.72 cnf(11967,plain, % 209.50/209.72 (~E(f335(a119,x119671),x119671)), % 209.50/209.72 inference(rename_variables,[],[4713])). % 209.50/209.72 cnf(11980,plain, % 209.50/209.72 (P106(f335(f335(f337(x119801),x119802),f335(f335(f317(x119801),x119802),x119803)))), % 209.50/209.72 inference(rename_variables,[],[3863])). % 209.50/209.72 cnf(11981,plain, % 209.50/209.72 (~P106(f335(f335(f243(a1),f2(a1)),f335(f85(a1),f335(f107(a1),f335(a119,x119811)))))), % 209.50/209.72 inference(rename_variables,[],[4800])). % 209.50/209.72 cnf(11984,plain, % 209.50/209.72 (P106(f335(f335(f244(a927),f335(f335(f23(a927),x119841),x119842)),f335(a119,x119841)))), % 209.50/209.72 inference(rename_variables,[],[4003])). % 209.50/209.72 cnf(11987,plain, % 209.50/209.72 (P106(f335(f335(f243(a927),f50(a927,x119871,x119872)),x119871))), % 209.50/209.72 inference(rename_variables,[],[4008])). % 209.50/209.72 cnf(11993,plain, % 209.50/209.72 (E(f335(f292(x119931,x119931),f271(x119931,x119932)),x119932)), % 209.50/209.72 inference(rename_variables,[],[3510])). % 209.50/209.72 cnf(11998,plain, % 209.50/209.72 (E(f335(f335(f141(x119981),f176(x119981,x119982,x119983)),f176(x119981,x119984,x119983)),f335(f335(f141(x119981),f176(x119981,x119984,x119983)),f176(x119981,x119982,x119983)))), % 209.50/209.72 inference(rename_variables,[],[4118])). % 209.50/209.72 cnf(12003,plain, % 209.50/209.72 (~P106(f335(f335(f243(a927),f335(a119,x120031)),x120031))), % 209.50/209.72 inference(rename_variables,[],[4784])). % 209.50/209.72 cnf(12012,plain, % 209.50/209.72 (~P106(f335(f335(f244(a927),x120121),x120121))), % 209.50/209.72 inference(rename_variables,[],[4774])). % 209.50/209.72 cnf(12015,plain, % 209.50/209.72 (P106(f335(f335(f243(a927),f50(a927,x120151,x120152)),x120151))), % 209.50/209.72 inference(rename_variables,[],[4008])). % 209.50/209.72 cnf(12016,plain, % 209.50/209.72 (P106(f335(f335(f243(a927),f2(a927)),x120161))), % 209.50/209.72 inference(rename_variables,[],[3570])). % 209.50/209.72 cnf(12033,plain, % 209.50/209.72 (~P106(f335(f335(f244(a927),x120331),x120331))), % 209.50/209.72 inference(rename_variables,[],[4774])). % 209.50/209.72 cnf(12036,plain, % 209.50/209.72 (P106(f335(f335(f337(x120361),f335(x120362,x120363)),f335(f318(x120364,x120361,x120362),f250(f934(x120364,a922)))))), % 209.50/209.72 inference(rename_variables,[],[4157])). % 209.50/209.72 cnf(12037,plain, % 209.50/209.72 (~P106(f335(f335(f243(a927),f335(a119,x120371)),x120371))), % 209.50/209.72 inference(rename_variables,[],[4784])). % 209.50/209.72 cnf(12040,plain, % 209.50/209.72 (P106(f335(f335(f337(x120401),f335(x120402,x120403)),f335(f318(x120404,x120401,x120402),f250(f934(x120404,a922)))))), % 209.50/209.72 inference(rename_variables,[],[4157])). % 209.50/209.72 cnf(12041,plain, % 209.50/209.72 (~P106(f335(f335(f244(a927),f335(f335(f86(a927),x120411),x120412)),x120412))), % 209.50/209.72 inference(rename_variables,[],[4798])). % 209.50/209.72 cnf(12046,plain, % 209.50/209.72 (~P106(f335(f335(f244(a927),f335(f335(f86(a927),x120461),x120462)),x120461))), % 209.50/209.72 inference(rename_variables,[],[4799])). % 209.50/209.72 cnf(12049,plain, % 209.50/209.72 (~P106(f335(f335(f179(x120491),f120(x120491)),x120492))), % 209.50/209.72 inference(rename_variables,[],[4783])). % 209.50/209.72 cnf(12052,plain, % 209.50/209.72 (P106(f335(f335(f243(a927),x120521),x120521))), % 209.50/209.72 inference(rename_variables,[],[3549])). % 209.50/209.72 cnf(12058,plain, % 209.50/209.72 (~P35(x120581,x120582,f120(x120581))), % 209.50/209.72 inference(rename_variables,[],[4749])). % 209.50/209.72 cnf(12061,plain, % 209.50/209.72 (P106(f335(f335(f337(x120611),x120612),f250(f934(x120611,a922))))), % 209.50/209.72 inference(rename_variables,[],[3702])). % 209.50/209.72 cnf(12062,plain, % 209.50/209.72 (~P106(f335(f335(f243(a927),f335(a119,x120621)),x120621))), % 209.50/209.72 inference(rename_variables,[],[4784])). % 209.50/209.72 cnf(12064,plain, % 209.50/209.72 (~P106(f335(f335(f244(a1),f2(a1)),f335(f85(a1),f335(f107(a1),x120641))))), % 209.50/209.72 inference(scs_inference,[],[3786,4748,4749,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,3470,4725,10723,10823,11295,3156,3157,3159,3160,3167,3168,3175,3184,3187,3188,3191,3193,3194,3203,3218,3242,3243,3248,3252,3299,3300,3302,3316,3318,3322,3338,4709,4118,11998,3392,11710,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,3487,4010,3381,3748,4104,11756,3447,3378,3408,3403,3390,3391,4023,3606,11138,3480,4189,4738,10553,10720,4785,11321,11420,11665,11668,3653,3444,3445,10623,10953,3707,3359,3466,11746,4332,4191,11341,11476,11537,4803,11240,11489,11600,11626,11673,11679,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,3915,4605,4606,4736,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,4003,11984,3533,3629,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,4791,11858,11889,11924,11931,3990,3755,4139,3576,3578,3552,4775,4733,3739,4792,4325,11623,3873,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,4294,4200,11135,4248,3916,4282,3933,10686,10783,11347,11425,11510,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,3550,10678,10734,10968,11063,11185,3551,4774,10570,10599,11107,11149,11158,12012,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,3610,10950,10980,10989,10992,10995,3649,3642,4071,4008,10602,11987,4784,10550,10938,10941,11444,11460,11950,12003,12037,3570,10983,11143,11213,4373,4781,4079,4766,4769,3526,3530,4768,4767,3863,4469,4797,10849,10852,4802,11330,11333,11525,11636,11656,4157,11699,12036,3998,11256,11262,3847,11400,4000,10986,11363,11534,11568,3703,3814,10902,10905,10998,11169,4800,11981,4801,10742,10855,4430,4336,4032,4798,10575,10578,10944,10947,11855,4799,11961,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203])). % 209.50/209.72 cnf(12074,plain, % 209.50/209.72 (E(f335(f40(x120741),f335(f335(f317(x120741),x120742),f195(f934(x120741,a922)))),f335(a119,f335(f40(x120741),f195(f934(x120741,a922)))))), % 209.50/209.72 inference(scs_inference,[],[3786,4748,4749,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,3470,4725,10723,10823,11295,3156,3157,3159,3160,3167,3168,3175,3184,3187,3188,3191,3193,3194,3203,3218,3242,3243,3248,3252,3299,3300,3302,3316,3318,3322,3338,4709,4118,11998,3392,11710,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,3487,4010,3381,3748,4104,11756,3447,3378,3408,3403,3390,3391,4023,3606,11138,3480,4189,4738,10553,10720,4785,11321,11420,11665,11668,3653,3444,3445,10623,10953,3707,3359,3466,11746,4332,4191,11341,11476,11537,4803,11240,11489,11600,11626,11673,11679,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,3915,4605,4606,4736,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,4003,11984,3533,3629,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,4791,11858,11889,11924,11931,3990,3755,4139,3576,3578,3552,4775,4733,3739,4792,4325,11623,3873,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,4294,4200,11135,4248,3916,4282,3933,10686,10783,11347,11425,11510,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,3550,10678,10734,10968,11063,11185,3551,3625,4774,10570,10599,11107,11149,11158,12012,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,3610,10950,10980,10989,10992,10995,3649,3642,4071,4008,10602,11987,4784,10550,10938,10941,11444,11460,11950,12003,12037,3570,10983,11143,11213,4373,4781,4079,4766,4769,3526,3530,4768,4767,3863,4469,4797,10849,10852,4802,11330,11333,11525,11636,11656,4157,11699,12036,3998,11256,11262,3847,11400,4000,10986,11363,11534,11568,3703,3814,10902,10905,10998,11169,4800,11981,4801,10742,10855,4430,4336,4032,4798,10575,10578,10944,10947,11855,4799,11961,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228])). % 209.50/209.72 cnf(12075,plain, % 209.50/209.72 (~P106(f335(f335(f337(x120751),x120752),f195(f934(x120751,a922))))), % 209.50/209.72 inference(rename_variables,[],[4787])). % 209.50/209.72 cnf(12078,plain, % 209.50/209.72 (E(f335(f335(f16(x120781,x120782),x120783),x120784),x120783)), % 209.50/209.72 inference(rename_variables,[],[3540])). % 209.50/209.72 cnf(12081,plain, % 209.50/209.72 (E(f335(f335(f16(x120811,x120812),x120813),x120814),x120813)), % 209.50/209.72 inference(rename_variables,[],[3540])). % 209.50/209.72 cnf(12093,plain, % 209.50/209.72 (P106(f335(f335(f244(a927),f2(a927)),f335(a119,x120931)))), % 209.50/209.72 inference(rename_variables,[],[3629])). % 209.50/209.72 cnf(12096,plain, % 209.50/209.72 (P106(f335(f335(f243(a927),x120961),x120961))), % 209.50/209.72 inference(rename_variables,[],[3549])). % 209.50/209.72 cnf(12099,plain, % 209.50/209.72 (P106(f335(f66(x120991),f335(f179(x120991),x120992)))), % 209.50/209.72 inference(rename_variables,[],[3589])). % 209.50/209.72 cnf(12102,plain, % 209.50/209.72 (P106(f335(f66(x121021),f335(f179(x121021),x121022)))), % 209.50/209.72 inference(rename_variables,[],[3589])). % 209.50/209.72 cnf(12105,plain, % 209.50/209.72 (P106(f335(f335(f243(a1),f335(f85(a1),f335(f107(a1),x121051))),f335(f107(a1),x121052)))), % 209.50/209.72 inference(rename_variables,[],[4033])). % 209.50/209.72 cnf(12108,plain, % 209.50/209.72 (~P106(f335(f335(f337(x121081),x121082),f195(f934(x121081,a922))))), % 209.50/209.72 inference(rename_variables,[],[4787])). % 209.50/209.72 cnf(12124,plain, % 209.50/209.72 (~P106(f335(f335(f337(a927),f2(a927)),f335(f312(a927),x121241)))), % 209.50/209.72 inference(scs_inference,[],[3786,4748,4749,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,3470,4725,10723,10823,11295,3156,3157,3159,3160,3163,3167,3168,3175,3177,3184,3187,3188,3191,3193,3194,3203,3218,3242,3243,3248,3252,3299,3300,3302,3307,3316,3318,3322,3338,4709,4118,11998,3392,11710,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,3487,4010,3381,3748,4104,11756,3447,3378,3408,3403,3390,3391,4023,3606,11138,3480,4189,4738,10553,10720,3540,12078,4785,11321,11420,11665,11668,3653,3444,3445,10623,10953,3707,3359,3466,11746,4332,4191,11341,11476,11537,4803,11240,11489,11600,11626,11673,11679,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,3915,4605,4606,4736,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,4003,11984,3533,3629,11815,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,4791,11858,11889,11924,11931,3990,3755,4139,3576,3578,3552,4775,4733,3739,4792,4325,11623,3873,3589,12099,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,4294,4200,11135,4248,3916,4282,3933,10686,10783,11347,11425,11510,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,3550,10678,10734,10968,11063,11185,3551,3625,4774,10570,10599,11107,11149,11158,12012,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,3610,10950,10980,10989,10992,10995,3649,3642,4071,4008,10602,11987,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,3570,10983,11143,11213,4033,4373,4781,4079,4766,4769,3526,3530,4768,4767,3863,4469,4797,10849,10852,4802,11330,11333,11525,11636,11656,4157,11699,12036,3998,11256,11262,3847,11400,4000,10986,11363,11534,11568,3703,3814,10902,10905,10998,11169,4800,11981,4801,10742,10855,4430,4336,4032,3976,4798,10575,10578,10944,10947,11855,4799,11961,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228,6239,6240,6271,6272,6276,6297,6300,6303,6324,6325,6353,6356,6364,6373,6375,6383,6387,6395,6396,6397])). % 209.50/209.72 cnf(12128,plain, % 209.50/209.72 (P106(f335(f335(f243(a1),f50(a927,x121281,f195(a927))),x121281))), % 209.50/209.72 inference(scs_inference,[],[3786,4748,4749,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,3470,4725,10723,10823,11295,3156,3157,3159,3160,3163,3167,3168,3175,3177,3184,3187,3188,3191,3193,3194,3203,3218,3242,3243,3248,3252,3299,3300,3302,3307,3316,3318,3322,3338,4709,4118,11998,3392,11710,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,3487,4010,3381,3748,4104,11756,3447,3378,3408,3403,3390,3391,4023,3606,11138,3480,4189,4738,10553,10720,3540,12078,4785,11321,11420,11665,11668,3653,3444,3445,10623,10953,3707,3359,3466,11746,4332,4191,11341,11476,11537,4803,11240,11489,11600,11626,11673,11679,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,3915,4605,4606,4736,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,4003,11984,3533,3629,11815,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,4791,11858,11889,11924,11931,3990,3755,4139,3576,3578,3552,4775,4733,3739,4792,4325,11623,3873,3589,12099,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,4294,4200,11135,4248,3916,4282,3933,10686,10783,11347,11425,11510,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,3550,10678,10734,10968,11063,11185,11834,3551,3625,4774,10570,10599,11107,11149,11158,12012,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,3610,10950,10980,10989,10992,10995,3649,3642,4071,4008,10602,11987,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,3570,10983,11143,11213,4033,4373,4781,4079,4766,4769,3526,3530,4768,4767,3863,4469,4797,10849,10852,4802,11330,11333,11525,11636,11656,4157,11699,12036,3998,11256,11262,3847,11400,4000,10986,11363,11534,11568,3703,3814,10902,10905,10998,11169,4800,11981,4801,10742,10855,4430,4336,4032,3976,4798,10575,10578,10944,10947,11855,4799,11961,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228,6239,6240,6271,6272,6276,6297,6300,6303,6324,6325,6353,6356,6364,6373,6375,6383,6387,6395,6396,6397,6398,6428])). % 209.50/209.72 cnf(12129,plain, % 209.50/209.72 (P106(f335(f335(f243(a1),x121291),x121291))), % 209.50/209.72 inference(rename_variables,[],[3550])). % 209.50/209.72 cnf(12132,plain, % 209.50/209.72 (P106(f335(f335(f243(a1),x121321),x121321))), % 209.50/209.72 inference(rename_variables,[],[3550])). % 209.50/209.72 cnf(12141,plain, % 209.50/209.72 (P106(f335(f335(f243(a1),x121411),x121411))), % 209.50/209.72 inference(rename_variables,[],[3550])). % 209.50/209.72 cnf(12144,plain, % 209.50/209.72 (~P106(f335(f335(f244(a927),x121441),f2(a927)))), % 209.50/209.72 inference(rename_variables,[],[4778])). % 209.50/209.72 cnf(12149,plain, % 209.50/209.72 (~P106(f335(f335(f244(a927),x121491),f2(a927)))), % 209.50/209.72 inference(rename_variables,[],[4778])). % 209.50/209.72 cnf(12158,plain, % 209.50/209.72 (P106(f335(f335(f243(a927),f2(a927)),x121581))), % 209.50/209.72 inference(rename_variables,[],[3570])). % 209.50/209.72 cnf(12159,plain, % 209.50/209.72 (~P106(f335(f335(f243(a927),f335(a119,x121591)),x121591))), % 209.50/209.72 inference(rename_variables,[],[4784])). % 209.50/209.72 cnf(12161,plain, % 209.50/209.72 (E(f335(f335(f86(a927),f2(a927)),f392(f2(a927),x121611,f335(f179(x121612),f120(x121612)))),x121611)), % 209.50/209.72 inference(scs_inference,[],[3786,4748,4749,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,3470,4725,10723,10823,11295,3156,3157,3159,3160,3163,3167,3168,3175,3177,3184,3187,3188,3191,3193,3194,3203,3209,3218,3242,3243,3248,3252,3299,3300,3302,3307,3311,3316,3318,3322,3338,4709,4118,11998,3392,11710,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,3487,4010,3381,3748,4104,11756,3447,3378,3408,3403,3390,3391,4023,3606,11138,3480,4189,4738,10553,10720,3540,12078,4785,11321,11420,11665,11668,3653,3444,3445,10623,10953,3707,3359,3466,11746,4332,4191,11341,11476,11537,4803,11240,11489,11600,11626,11673,11679,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,3915,4605,4606,4736,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,4003,11984,3533,3629,11815,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,4791,11858,11889,11924,11931,3990,3755,4139,3576,3578,3552,4775,4733,3739,4792,4325,11623,3873,3589,12099,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,4294,4200,11135,4248,3916,4282,3933,10686,10783,11347,11425,11510,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,3550,10678,10734,10968,11063,11185,11834,12129,12132,3551,3625,4774,10570,10599,11107,11149,11158,12012,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,3610,10950,10980,10989,10992,10995,3649,3642,4071,4008,10602,11987,12015,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,3570,10983,11143,11213,12016,4033,4373,4781,4079,4766,4769,3526,3530,4768,4767,3863,4469,4797,10849,10852,4802,11330,11333,11525,11636,11656,4157,11699,12036,3998,11256,11262,3847,11400,4000,10986,11363,11534,11568,3703,3814,10902,10905,10998,11169,4800,11981,4801,10742,10855,4430,4336,4032,3976,4798,10575,10578,10944,10947,11855,4799,11961,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228,6239,6240,6271,6272,6276,6297,6300,6303,6324,6325,6353,6356,6364,6373,6375,6383,6387,6395,6396,6397,6398,6428,6445,6496,6533,6535,6556,6557,6564,6568,6569,6572,6586,6601,6622])). % 209.50/209.72 cnf(12162,plain, % 209.50/209.72 (~P106(f335(f335(f179(x121621),f120(x121621)),x121622))), % 209.50/209.72 inference(rename_variables,[],[4783])). % 209.50/209.72 cnf(12164,plain, % 209.50/209.72 (E(f335(f335(f86(a927),f2(a927)),f393(f2(a927),x121641,f335(f179(x121642),f120(x121642)))),x121641)), % 209.50/209.72 inference(scs_inference,[],[3786,4748,4749,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,3470,4725,10723,10823,11295,3156,3157,3159,3160,3163,3167,3168,3175,3177,3184,3187,3188,3191,3193,3194,3203,3209,3218,3242,3243,3248,3252,3299,3300,3302,3307,3311,3316,3318,3322,3338,4709,4118,11998,3392,11710,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,3487,4010,3381,3748,4104,11756,3447,3378,3408,3403,3390,3391,4023,3606,11138,3480,4189,4738,10553,10720,3540,12078,4785,11321,11420,11665,11668,3653,3444,3445,10623,10953,3707,3359,3466,11746,4332,4191,11341,11476,11537,4803,11240,11489,11600,11626,11673,11679,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,3915,4605,4606,4736,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,4003,11984,3533,3629,11815,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,4791,11858,11889,11924,11931,3990,3755,4139,3576,3578,3552,4775,4733,3739,4792,4325,11623,3873,3589,12099,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,4294,4200,11135,4248,3916,4282,3933,10686,10783,11347,11425,11510,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,3550,10678,10734,10968,11063,11185,11834,12129,12132,3551,3625,4774,10570,10599,11107,11149,11158,12012,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,3610,10950,10980,10989,10992,10995,3649,3642,4071,4008,10602,11987,12015,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,3570,10983,11143,11213,12016,4033,4373,4781,4079,4766,4769,3526,3530,4768,4767,3863,4469,4797,10849,10852,4802,11330,11333,11525,11636,11656,4157,11699,12036,3998,11256,11262,3847,11400,4000,10986,11363,11534,11568,3703,3814,10902,10905,10998,11169,4800,11981,4801,10742,10855,4430,4336,4032,3976,4798,10575,10578,10944,10947,11855,4799,11961,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228,6239,6240,6271,6272,6276,6297,6300,6303,6324,6325,6353,6356,6364,6373,6375,6383,6387,6395,6396,6397,6398,6428,6445,6496,6533,6535,6556,6557,6564,6568,6569,6572,6586,6601,6622,6623])). % 209.50/209.72 cnf(12165,plain, % 209.50/209.72 (~P106(f335(f335(f179(x121651),f120(x121651)),x121652))), % 209.50/209.72 inference(rename_variables,[],[4783])). % 209.50/209.72 cnf(12168,plain, % 209.50/209.72 (~P106(f335(f335(f244(a927),x121681),f2(a927)))), % 209.50/209.72 inference(rename_variables,[],[4778])). % 209.50/209.72 cnf(12169,plain, % 209.50/209.72 (P106(f335(f335(f244(a927),x121691),f335(a119,x121691)))), % 209.50/209.72 inference(rename_variables,[],[3617])). % 209.50/209.72 cnf(12185,plain, % 209.50/209.72 (P106(f335(f335(f244(a1),f335(f85(a1),f84(a1))),f2(a1)))), % 209.50/209.72 inference(scs_inference,[],[3786,4748,4749,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,3470,4725,10723,10823,11295,3156,3157,3159,3160,3163,3167,3168,3171,3175,3177,3184,3187,3188,3191,3193,3194,3203,3209,3218,3242,3243,3248,3252,3299,3300,3302,3307,3311,3316,3318,3322,3338,4709,4118,11998,3392,11710,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,3487,4010,3381,3748,4104,11756,3447,3378,3408,3403,3390,3391,4023,3606,11138,3480,4189,4738,10553,10720,3540,12078,4785,11321,11420,11665,11668,3653,3444,3445,10623,10953,3707,3359,3466,11746,4332,4191,11341,11476,11537,4803,11240,11489,11600,11626,11673,11679,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,3915,4605,4606,4736,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,4003,11984,3533,3629,11815,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,4791,11858,11889,11924,11931,11964,3990,3755,4139,3576,3578,3552,4775,4733,3739,4792,4325,11623,3873,3589,12099,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,4294,4200,11135,4248,3916,4282,3933,10686,10783,11347,11425,11510,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,3550,10678,10734,10968,11063,11185,11834,12129,12132,3551,3625,4774,10570,10599,11107,11149,11158,12012,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,3610,10950,10980,10989,10992,10995,3649,3642,4071,4008,10602,11987,12015,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,3570,10983,11143,11213,12016,4033,4373,4781,4079,4766,4769,3526,3530,4768,4767,3863,4469,4797,10849,10852,4802,11330,11333,11525,11636,11656,4157,11699,12036,3998,11256,11262,3847,11400,4000,10986,11363,11534,11568,3703,3814,10902,10905,10998,11169,4800,11981,4801,10742,10855,4430,4336,4032,3976,4798,10575,10578,10944,10947,11855,4799,11961,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228,6239,6240,6271,6272,6276,6297,6300,6303,6324,6325,6353,6356,6364,6373,6375,6383,6387,6395,6396,6397,6398,6428,6445,6496,6533,6535,6556,6557,6564,6568,6569,6572,6586,6601,6622,6623,6626,6629,6638,6653,6674,6680,6682,6697,6698])). % 209.50/209.72 cnf(12188,plain, % 209.50/209.72 (~P106(f335(f335(f243(a927),f335(a119,x121881)),x121881))), % 209.50/209.72 inference(rename_variables,[],[4784])). % 209.50/209.72 cnf(12191,plain, % 209.50/209.72 (~P106(f335(f335(f243(a927),f335(a119,x121911)),x121911))), % 209.50/209.72 inference(rename_variables,[],[4784])). % 209.50/209.72 cnf(12194,plain, % 209.50/209.72 (~P106(f335(f335(f243(a927),f335(a119,x121941)),x121941))), % 209.50/209.72 inference(rename_variables,[],[4784])). % 209.50/209.72 cnf(12197,plain, % 209.50/209.72 (~P106(f335(f335(f243(a927),f335(a119,x121971)),x121971))), % 209.50/209.72 inference(rename_variables,[],[4784])). % 209.50/209.72 cnf(12199,plain, % 209.50/209.72 (~P106(f335(f335(f244(a927),f335(f335(f117(a927),x121991),x121992)),x121992))), % 209.50/209.72 inference(scs_inference,[],[3786,4748,4749,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,3470,4725,10723,10823,11295,3156,3157,3159,3160,3163,3167,3168,3171,3175,3177,3184,3187,3188,3191,3193,3194,3203,3209,3218,3242,3243,3248,3252,3299,3300,3302,3307,3311,3316,3318,3322,3338,4709,4118,11998,3392,11710,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,3487,4010,3381,3748,4104,11756,3447,3378,3408,3403,3390,3391,4023,3606,11138,3480,4189,4738,10553,10720,3540,12078,4785,11321,11420,11665,11668,3653,3444,3445,10623,10953,3707,3359,3466,11746,4332,4191,11341,11476,11537,4803,11240,11489,11600,11626,11673,11679,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,3915,4605,4606,4736,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,4003,11984,3533,3629,11815,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,4791,11858,11889,11924,11931,11964,3990,3755,4139,3576,3578,3552,4775,4733,3739,4792,4325,11623,3873,3589,12099,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,4294,4200,11135,4248,3916,4282,3933,10686,10783,11347,11425,11510,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,3550,10678,10734,10968,11063,11185,11834,12129,12132,3551,3625,4774,10570,10599,11107,11149,11158,12012,12033,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,3610,10950,10980,10989,10992,10995,3649,3642,4071,4008,10602,11987,12015,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,3570,10983,11143,11213,12016,4033,4373,4781,4079,4766,4769,3526,3530,4768,4767,3863,4469,4797,10849,10852,4802,11330,11333,11525,11636,11656,4157,11699,12036,3998,11256,11262,3847,11400,4000,10986,11363,11534,11568,3703,3814,10902,10905,10998,11169,4800,11981,4801,10742,10855,4430,4336,4032,3976,4798,10575,10578,10944,10947,11855,4799,11961,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228,6239,6240,6271,6272,6276,6297,6300,6303,6324,6325,6353,6356,6364,6373,6375,6383,6387,6395,6396,6397,6398,6428,6445,6496,6533,6535,6556,6557,6564,6568,6569,6572,6586,6601,6622,6623,6626,6629,6638,6653,6674,6680,6682,6697,6698,6701,6702,6704,6706,6707])). % 209.50/209.72 cnf(12200,plain, % 209.50/209.72 (~P106(f335(f335(f244(a927),x122001),x122001))), % 209.50/209.72 inference(rename_variables,[],[4774])). % 209.50/209.72 cnf(12203,plain, % 209.50/209.72 (~P106(f335(f335(f244(a927),x122031),x122031))), % 209.50/209.72 inference(rename_variables,[],[4774])). % 209.50/209.72 cnf(12206,plain, % 209.50/209.72 (~P106(f335(f335(f244(a927),x122061),x122061))), % 209.50/209.72 inference(rename_variables,[],[4774])). % 209.50/209.72 cnf(12209,plain, % 209.50/209.72 (~P106(f335(f335(f244(a927),x122091),x122091))), % 209.50/209.72 inference(rename_variables,[],[4774])). % 209.50/209.72 cnf(12226,plain, % 209.50/209.72 (P106(f335(f335(f243(a927),x122261),x122261))), % 209.50/209.72 inference(rename_variables,[],[3549])). % 209.50/209.72 cnf(12229,plain, % 209.50/209.72 (P25(a927,a927,a119,x122291)), % 209.50/209.72 inference(rename_variables,[],[3754])). % 209.50/209.72 cnf(12231,plain, % 209.50/209.72 (P106(f335(f335(f243(a1),x122311),f335(f81(a1),x122311)))), % 209.50/209.72 inference(scs_inference,[],[3786,4748,4749,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,3754,3470,4725,10723,10823,11295,3156,3157,3159,3160,3163,3167,3168,3171,3175,3177,3184,3187,3188,3191,3193,3194,3203,3209,3218,3242,3243,3248,3252,3299,3300,3302,3307,3311,3316,3318,3322,3338,4709,4118,11998,3392,11710,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,3487,4010,3381,3748,4104,11756,3447,3378,3408,3403,3390,3391,4023,3606,11138,3480,4189,4738,10553,10720,3540,12078,4785,11321,11420,11665,11668,3653,3444,3445,10623,10953,3707,3359,3466,11746,4332,4191,11341,11476,11537,4803,11240,11489,11600,11626,11673,11679,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,3915,4605,4606,4736,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,4003,11984,3533,3629,11815,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,4791,11858,11889,11924,11931,11964,3990,3755,4139,3576,3578,3552,4775,4733,3739,4792,4325,11623,3873,3589,12099,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,4294,4200,11135,4248,3916,4282,3933,10686,10783,11347,11425,11510,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,3551,3625,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,3610,10950,10980,10989,10992,10995,3649,3642,4071,4008,10602,11987,12015,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,3570,10983,11143,11213,12016,4033,4373,4781,4079,4766,4769,3526,3530,4768,4767,3863,4469,4797,10849,10852,4802,11330,11333,11525,11636,11656,4157,11699,12036,3998,11256,11262,3847,11400,4000,10986,11363,11534,11568,3703,3814,10902,10905,10998,11169,4800,11981,4801,10742,10855,4430,4336,4032,3976,4798,10575,10578,10944,10947,11855,4799,11961,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228,6239,6240,6271,6272,6276,6297,6300,6303,6324,6325,6353,6356,6364,6373,6375,6383,6387,6395,6396,6397,6398,6428,6445,6496,6533,6535,6556,6557,6564,6568,6569,6572,6586,6601,6622,6623,6626,6629,6638,6653,6674,6680,6682,6697,6698,6701,6702,6704,6706,6707,6708,6710,6712,6714,6720,6721,6723,6724,6730,6732,6774,6780,6796])). % 209.50/209.72 cnf(12232,plain, % 209.50/209.72 (P106(f335(f335(f243(a1),x122321),x122321))), % 209.50/209.72 inference(rename_variables,[],[3550])). % 209.50/209.72 cnf(12243,plain, % 209.50/209.72 (P106(f335(f335(f243(a1),x122431),x122431))), % 209.50/209.72 inference(rename_variables,[],[3550])). % 209.50/209.72 cnf(12245,plain, % 209.50/209.72 (P106(f335(f315(f928(x122451),f164(x122451,x122452)),f335(f335(f260(f928(x122451),f928(x122451)),f120(x122451)),f120(x122451))))), % 209.50/209.72 inference(scs_inference,[],[3786,4748,4749,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,3754,3470,4725,10723,10823,11295,3156,3157,3159,3160,3163,3167,3168,3171,3175,3177,3184,3187,3188,3191,3193,3194,3203,3209,3218,3242,3243,3248,3252,3299,3300,3302,3307,3311,3316,3318,3322,3338,4709,4118,11998,3392,11710,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,3487,4010,3381,3748,4104,11756,3447,3378,3408,3403,3390,3391,4023,3606,11138,3480,4189,4738,10553,10720,3540,12078,4785,11321,11420,11665,11668,3653,3444,3445,10623,10953,3707,3359,3466,11746,4332,4191,11341,11476,11537,4803,11240,11489,11600,11626,11673,11679,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,3915,4605,4606,4736,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,4003,11984,3533,3629,11815,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,4791,11858,11889,11924,11931,11964,3990,3755,4139,3576,3578,3552,4775,4733,3739,4792,4325,11623,3873,3589,12099,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,4294,4253,4200,11135,4248,3916,4282,3933,10686,10783,11347,11425,11510,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,12232,3551,3625,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,3610,10950,10980,10989,10992,10995,3649,3642,4071,4008,10602,11987,12015,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,3570,10983,11143,11213,12016,4033,4373,4781,4079,4766,4769,3526,3530,4768,4767,3863,4469,4797,10849,10852,4802,11330,11333,11525,11636,11656,4157,11699,12036,3998,11256,11262,3847,11400,4000,10986,11363,11534,11568,3703,3814,10902,10905,10998,11169,4800,11981,4801,10742,10855,4430,4336,4032,3976,4798,10575,10578,10944,10947,11855,4799,11961,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228,6239,6240,6271,6272,6276,6297,6300,6303,6324,6325,6353,6356,6364,6373,6375,6383,6387,6395,6396,6397,6398,6428,6445,6496,6533,6535,6556,6557,6564,6568,6569,6572,6586,6601,6622,6623,6626,6629,6638,6653,6674,6680,6682,6697,6698,6701,6702,6704,6706,6707,6708,6710,6712,6714,6720,6721,6723,6724,6730,6732,6774,6780,6796,6798,6799,6800,6833,6838,6840])). % 209.50/209.72 cnf(12246,plain, % 209.50/209.72 (P106(f335(f335(f243(f934(f933(f928(x122461),f928(x122461)),a922)),f165(x122461,x122462)),f315(f928(x122461),f164(x122461,x122462))))), % 209.50/209.72 inference(rename_variables,[],[4253])). % 209.50/209.72 cnf(12253,plain, % 209.50/209.72 (P106(f335(f335(f244(a927),x122531),f335(a119,x122531)))), % 209.50/209.72 inference(rename_variables,[],[3617])). % 209.50/209.72 cnf(12256,plain, % 209.50/209.72 (P106(f335(f335(f337(f934(x122561,a922)),x122562),f335(f316(x122561),x122562)))), % 209.50/209.72 inference(rename_variables,[],[3916])). % 209.50/209.72 cnf(12257,plain, % 209.50/209.72 (~E(f335(a119,x122571),x122571)), % 209.50/209.72 inference(rename_variables,[],[4713])). % 209.50/209.72 cnf(12262,plain, % 209.50/209.72 (P106(f335(f335(f243(a1),x122621),x122621))), % 209.50/209.72 inference(rename_variables,[],[3550])). % 209.50/209.72 cnf(12266,plain, % 209.50/209.72 (P106(f335(f335(f244(a927),f335(a111,f2(a1))),f335(a111,f84(a1))))), % 209.50/209.72 inference(scs_inference,[],[3786,4748,4749,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,11967,3754,3470,4725,10723,10823,11295,3156,3157,3159,3160,3163,3167,3168,3171,3175,3177,3184,3187,3188,3191,3193,3194,3203,3209,3218,3242,3243,3248,3252,3299,3300,3302,3307,3311,3316,3318,3322,3338,4709,4118,11998,3392,11710,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,3487,4010,3381,3748,4104,11756,3447,3378,3408,3403,3390,3391,4023,3606,11138,3480,4189,4738,10553,10720,3540,12078,4785,11321,11420,11665,11668,3653,3444,3445,10623,10953,3707,3359,3466,11746,4332,4191,11341,11476,11537,4803,11240,11489,11600,11626,11673,11679,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,3915,4605,4606,4736,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,4003,11984,3533,3629,11815,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,4791,11858,11889,11924,11931,11964,3990,3755,4139,3576,3578,3552,4775,4733,3739,4792,4325,11623,3873,3589,12099,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,4294,4253,4200,11135,4248,3916,11935,4282,3933,10686,10783,11347,11425,11510,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,12232,12243,12262,3551,3625,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,3610,10950,10980,10989,10992,10995,3649,3642,4071,4008,10602,11987,12015,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,3570,10983,11143,11213,12016,4033,4373,4781,4079,4766,4769,3526,3530,4768,4767,3863,4469,4797,10849,10852,4802,11330,11333,11525,11636,11656,4157,11699,12036,3998,11256,11262,3847,11400,4000,10986,11363,11534,11568,3703,3814,10902,10905,10998,11169,4800,11981,4801,10742,10855,4430,4336,4032,3976,4798,10575,10578,10944,10947,11855,4799,11961,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228,6239,6240,6271,6272,6276,6297,6300,6303,6324,6325,6353,6356,6364,6373,6375,6383,6387,6395,6396,6397,6398,6428,6445,6496,6533,6535,6556,6557,6564,6568,6569,6572,6586,6601,6622,6623,6626,6629,6638,6653,6674,6680,6682,6697,6698,6701,6702,6704,6706,6707,6708,6710,6712,6714,6720,6721,6723,6724,6730,6732,6774,6780,6796,6798,6799,6800,6833,6838,6840,6845,6846,6856,6860,6872,6895,6896,6898])). % 209.50/209.72 cnf(12267,plain, % 209.50/209.72 (P106(f335(f335(f243(a1),x122671),x122671))), % 209.50/209.72 inference(rename_variables,[],[3550])). % 209.50/209.72 cnf(12274,plain, % 209.50/209.72 (P106(f335(f66(a927),f313(a927,x122741,x122742)))), % 209.50/209.72 inference(rename_variables,[],[3756])). % 209.50/209.72 cnf(12281,plain, % 209.50/209.72 (P106(f335(f335(f243(f934(x122811,a922)),x122812),f335(f335(f317(x122811),x122813),x122812)))), % 209.50/209.72 inference(rename_variables,[],[3998])). % 209.50/209.72 cnf(12284,plain, % 209.50/209.72 (P106(f335(f335(f243(a927),x122841),x122841))), % 209.50/209.72 inference(rename_variables,[],[3549])). % 209.50/209.72 cnf(12285,plain, % 209.50/209.72 (~E(f335(a119,x122851),x122851)), % 209.50/209.72 inference(rename_variables,[],[4713])). % 209.50/209.72 cnf(12296,plain, % 209.50/209.72 (~P106(f335(f335(f244(a927),x122961),x122961))), % 209.50/209.72 inference(rename_variables,[],[4774])). % 209.50/209.72 cnf(12297,plain, % 209.50/209.72 (~E(f335(a119,x122971),x122971)), % 209.50/209.72 inference(rename_variables,[],[4713])). % 209.50/209.72 cnf(12300,plain, % 209.50/209.72 (P106(f335(f335(f243(a927),x123001),x123001))), % 209.50/209.72 inference(rename_variables,[],[3549])). % 209.50/209.72 cnf(12303,plain, % 209.50/209.72 (P106(f335(f335(f243(a927),x123031),x123031))), % 209.50/209.72 inference(rename_variables,[],[3549])). % 209.50/209.72 cnf(12306,plain, % 209.50/209.72 (P106(f335(f335(f243(a927),x123061),x123061))), % 209.50/209.72 inference(rename_variables,[],[3549])). % 209.50/209.72 cnf(12308,plain, % 209.50/209.72 (P106(f335(f335(f243(a927),f335(f335(f108(a927),x123081),x123082)),x123081))), % 209.50/209.72 inference(scs_inference,[],[3786,4748,4749,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,11967,12257,12285,3754,3470,4725,10723,10823,11295,3156,3157,3159,3160,3163,3167,3168,3171,3175,3177,3184,3187,3188,3191,3193,3194,3203,3209,3218,3242,3243,3248,3252,3299,3300,3302,3307,3311,3316,3318,3322,3338,4709,4118,11998,3392,11710,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,3487,4010,3381,3748,4104,11756,3447,3378,3408,3403,3390,3391,4023,3606,11138,3480,4189,4738,10553,10720,3540,12078,4785,11321,11420,11665,11668,3653,3444,3445,10623,10953,3707,3359,3466,11746,4332,4191,11341,11476,11537,4803,11240,11489,11600,11626,11673,11679,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,3915,4605,4606,4736,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,12253,4003,11984,3533,3629,11815,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,4791,11858,11889,11924,11931,11964,3990,3755,3756,4139,3576,3578,3552,4775,4733,3739,4792,4325,11623,3873,3589,12099,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,4294,4253,4200,11135,4248,3916,11935,4282,3933,10686,10783,11347,11425,11510,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,12226,12284,12300,12303,12306,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,12232,12243,12262,3551,3625,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,12209,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,3610,10950,10980,10989,10992,10995,3649,3642,4071,4008,10602,11987,12015,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,3570,10983,11143,11213,12016,4033,4373,4781,4079,4766,4769,3526,3530,4768,4767,3863,4469,4797,10849,10852,4802,11330,11333,11525,11636,11656,4157,11699,12036,3998,11256,11262,11282,3847,11400,4000,10986,11363,11534,11568,3703,3814,10902,10905,10998,11169,4800,11981,4801,10742,10855,4430,4336,4032,3976,4798,10575,10578,10944,10947,11855,4799,11961,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228,6239,6240,6271,6272,6276,6297,6300,6303,6324,6325,6353,6356,6364,6373,6375,6383,6387,6395,6396,6397,6398,6428,6445,6496,6533,6535,6556,6557,6564,6568,6569,6572,6586,6601,6622,6623,6626,6629,6638,6653,6674,6680,6682,6697,6698,6701,6702,6704,6706,6707,6708,6710,6712,6714,6720,6721,6723,6724,6730,6732,6774,6780,6796,6798,6799,6800,6833,6838,6840,6845,6846,6856,6860,6872,6895,6896,6898,6899,6910,6914,6917,6935,6938,6958,6987,6988,6989,6995,7009,7028,7030,7032,7034])). % 209.50/209.72 cnf(12309,plain, % 209.50/209.72 (P106(f335(f335(f243(a927),x123091),x123091))), % 209.50/209.72 inference(rename_variables,[],[3549])). % 209.50/209.72 cnf(12312,plain, % 209.50/209.72 (P106(f335(f335(f243(a1),x123121),x123121))), % 209.50/209.72 inference(rename_variables,[],[3550])). % 209.50/209.72 cnf(12315,plain, % 209.50/209.72 (~P106(f335(f335(f244(a927),x123151),x123151))), % 209.50/209.72 inference(rename_variables,[],[4774])). % 209.50/209.72 cnf(12318,plain, % 209.50/209.72 (~P106(f335(f335(f244(a927),x123181),x123181))), % 209.50/209.72 inference(rename_variables,[],[4774])). % 209.50/209.72 cnf(12319,plain, % 209.50/209.72 (P106(f335(f335(f244(a927),x123191),f335(a119,x123191)))), % 209.50/209.72 inference(rename_variables,[],[3617])). % 209.50/209.72 cnf(12326,plain, % 209.50/209.72 (~E(f335(a119,x123261),x123261)), % 209.50/209.72 inference(rename_variables,[],[4713])). % 209.50/209.72 cnf(12331,plain, % 209.50/209.72 (~P106(f335(f335(f244(a927),x123311),x123311))), % 209.50/209.72 inference(rename_variables,[],[4774])). % 209.50/209.72 cnf(12332,plain, % 209.50/209.72 (~E(f335(a119,x123321),x123321)), % 209.50/209.72 inference(rename_variables,[],[4713])). % 209.50/209.72 cnf(12335,plain, % 209.50/209.72 (P106(f335(f335(f243(a1),x123351),x123351))), % 209.50/209.72 inference(rename_variables,[],[3550])). % 209.50/209.72 cnf(12337,plain, % 209.50/209.72 (~P106(f335(f335(f243(a927),f335(a111,f84(a1))),f335(a111,f2(a1))))), % 209.50/209.72 inference(scs_inference,[],[3786,4748,4749,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,11967,12257,12285,12297,12326,3754,3470,4725,10723,10823,11295,3156,3157,3159,3160,3163,3167,3168,3171,3175,3177,3184,3187,3188,3191,3193,3194,3203,3209,3218,3242,3243,3248,3252,3299,3300,3302,3307,3311,3316,3318,3322,3338,4709,4118,11998,3392,11710,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,3487,3496,4010,4318,3381,3748,4104,11756,3447,3378,3408,3403,3390,3391,4023,3606,11138,3480,4189,4738,10553,10720,3540,12078,4785,11321,11420,11665,11668,3653,3444,3445,10623,10953,3707,3359,3466,11746,4332,4191,11341,11476,11537,4803,11240,11489,11600,11626,11673,11679,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,3915,4605,4606,4736,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,12253,4003,11984,3533,3629,11815,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,4791,11858,11889,11924,11931,11964,3990,3755,3756,4139,3576,3578,3552,4775,4733,3739,4792,4325,11623,3873,3589,12099,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,4294,4253,4200,11135,4248,3916,11935,4282,3933,10686,10783,11347,11425,11510,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,12226,12284,12300,12303,12306,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,12232,12243,12262,12267,12312,3551,3625,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,12209,12296,12315,12318,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,3610,10950,10980,10989,10992,10995,3649,3642,4071,4008,10602,11987,12015,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,12197,3570,10983,11143,11213,12016,4033,4373,4781,4079,4766,4769,3526,3530,4768,4767,3863,4469,4797,10849,10852,4802,11330,11333,11525,11636,11656,4157,11699,12036,3998,11256,11262,11282,3847,11400,4000,10986,11363,11534,11568,3703,3814,10902,10905,10998,11169,4800,11981,4801,10742,10855,4430,4336,4032,3976,4798,10575,10578,10944,10947,11855,4799,11961,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228,6239,6240,6271,6272,6276,6297,6300,6303,6324,6325,6353,6356,6364,6373,6375,6383,6387,6395,6396,6397,6398,6428,6445,6496,6533,6535,6556,6557,6564,6568,6569,6572,6586,6601,6622,6623,6626,6629,6638,6653,6674,6680,6682,6697,6698,6701,6702,6704,6706,6707,6708,6710,6712,6714,6720,6721,6723,6724,6730,6732,6774,6780,6796,6798,6799,6800,6833,6838,6840,6845,6846,6856,6860,6872,6895,6896,6898,6899,6910,6914,6917,6935,6938,6958,6987,6988,6989,6995,7009,7028,7030,7032,7034,7039,7045,7047,7061,7066,7067,7102,7103,7104])). % 209.50/209.72 cnf(12352,plain, % 209.50/209.72 (P106(f335(f335(f243(a1),x123521),x123521))), % 209.50/209.72 inference(rename_variables,[],[3550])). % 209.50/209.72 cnf(12357,plain, % 209.50/209.72 (P106(f335(f335(f243(a927),f2(a927)),x123571))), % 209.50/209.72 inference(rename_variables,[],[3570])). % 209.50/209.72 cnf(12371,plain, % 209.50/209.72 (~P106(f335(f335(f244(a927),x123711),f2(a927)))), % 209.50/209.72 inference(rename_variables,[],[4778])). % 209.50/209.72 cnf(12374,plain, % 209.50/209.72 (~P106(f335(f335(f244(a927),x123741),f2(a927)))), % 209.50/209.72 inference(rename_variables,[],[4778])). % 209.50/209.72 cnf(12377,plain, % 209.50/209.72 (~P106(f335(f335(f337(x123771),x123772),f195(f934(x123771,a922))))), % 209.50/209.72 inference(rename_variables,[],[4787])). % 209.50/209.72 cnf(12380,plain, % 209.50/209.72 (~P106(f335(f335(f337(x123801),x123802),f195(f934(x123801,a922))))), % 209.50/209.72 inference(rename_variables,[],[4787])). % 209.50/209.72 cnf(12382,plain, % 209.50/209.72 (~P106(f335(f335(f244(a927),x123821),f335(f335(f108(a927),x123822),x123821)))), % 209.50/209.72 inference(scs_inference,[],[3786,4748,4749,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,11967,12257,12285,12297,12326,3754,3470,4725,10723,10823,11295,3156,3157,3159,3160,3163,3167,3168,3171,3175,3177,3184,3187,3188,3191,3193,3194,3203,3209,3218,3242,3243,3248,3252,3299,3300,3302,3307,3311,3316,3318,3322,3338,4709,4118,11998,3392,11710,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,3487,3496,4010,4318,3381,3748,4104,11756,3447,3378,3408,3403,3390,3391,4023,3606,11138,3480,4189,4738,10553,10720,3540,12078,4785,11321,11420,11665,11668,3653,3444,3445,10623,10953,3707,3359,3466,11746,4332,4191,11341,11476,11537,4803,11240,11489,11600,11626,11673,11679,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,3915,4605,4606,4736,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,12253,4003,11984,3533,3629,11815,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,12168,12371,4791,11858,11889,11924,11931,11964,3990,3755,3756,4139,3576,3578,3552,4775,4733,3739,4792,4325,11623,3873,3589,12099,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,4294,4253,4200,11135,4248,3916,11935,4282,3933,10686,10783,11347,11425,11510,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,12226,12284,12300,12303,12306,12309,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,12232,12243,12262,12267,12312,12335,3551,3625,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,12209,12296,12315,12318,12331,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,12108,12377,3610,10950,10980,10989,10992,10995,3649,3642,4071,4008,10602,11987,12015,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,12197,3570,10983,11143,11213,12016,12158,4033,4373,4781,4045,4079,4766,4769,3526,3530,4768,4767,3863,4469,4797,10849,10852,4802,11330,11333,11525,11636,11656,4157,11699,12036,3998,11256,11262,11282,3847,11400,4000,10986,11363,11534,11568,3703,3814,10902,10905,10998,11169,4800,11981,4801,10742,10855,4430,4336,4032,3976,4798,10575,10578,10944,10947,11855,4799,11961,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228,6239,6240,6271,6272,6276,6297,6300,6303,6324,6325,6353,6356,6364,6373,6375,6383,6387,6395,6396,6397,6398,6428,6445,6496,6533,6535,6556,6557,6564,6568,6569,6572,6586,6601,6622,6623,6626,6629,6638,6653,6674,6680,6682,6697,6698,6701,6702,6704,6706,6707,6708,6710,6712,6714,6720,6721,6723,6724,6730,6732,6774,6780,6796,6798,6799,6800,6833,6838,6840,6845,6846,6856,6860,6872,6895,6896,6898,6899,6910,6914,6917,6935,6938,6958,6987,6988,6989,6995,7009,7028,7030,7032,7034,7039,7045,7047,7061,7066,7067,7102,7103,7104,7118,7119,7121,7122,7140,7142,7157,7183,7207,7218,7220,7222,7224,7225,7256,7257,7261,7262,7269])). % 209.50/209.72 cnf(12383,plain, % 209.50/209.72 (~P106(f335(f335(f244(a927),x123831),x123831))), % 209.50/209.72 inference(rename_variables,[],[4774])). % 209.50/209.72 cnf(12385,plain, % 209.50/209.72 (~P106(f335(f335(f244(a927),x123851),f335(f335(f108(a927),x123851),x123852)))), % 209.50/209.72 inference(scs_inference,[],[3786,4748,4749,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,11967,12257,12285,12297,12326,3754,3470,4725,10723,10823,11295,3156,3157,3159,3160,3163,3167,3168,3171,3175,3177,3184,3187,3188,3191,3193,3194,3203,3209,3218,3242,3243,3248,3252,3299,3300,3302,3307,3311,3316,3318,3322,3338,4709,4118,11998,3392,11710,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,3487,3496,4010,4318,3381,3748,4104,11756,3447,3378,3408,3403,3390,3391,4023,3606,11138,3480,4189,4738,10553,10720,3540,12078,4785,11321,11420,11665,11668,3653,3444,3445,10623,10953,3707,3359,3466,11746,4332,4191,11341,11476,11537,4803,11240,11489,11600,11626,11673,11679,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,3915,4605,4606,4736,3850,4067,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,12253,4003,11984,3533,3629,11815,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,12168,12371,4791,11858,11889,11924,11931,11964,3990,3755,3756,4139,3576,3578,3552,4775,4733,3739,4792,4325,11623,3873,3589,12099,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,4294,4253,4200,11135,4248,3916,11935,4282,3933,10686,10783,11347,11425,11510,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,12226,12284,12300,12303,12306,12309,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,12232,12243,12262,12267,12312,12335,3551,3625,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,12209,12296,12315,12318,12331,12383,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,12108,12377,3610,10950,10980,10989,10992,10995,3649,3642,4071,4008,10602,11987,12015,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,12197,3570,10983,11143,11213,12016,12158,4033,4373,4781,4045,4079,4766,4769,3526,3530,4768,4767,3863,4469,4797,10849,10852,4802,11330,11333,11525,11636,11656,4157,11699,12036,3998,11256,11262,11282,3847,11400,4000,10986,11363,11534,11568,3703,3814,10902,10905,10998,11169,4800,11981,4801,10742,10855,4430,4336,4032,3976,4798,10575,10578,10944,10947,11855,4799,11961,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228,6239,6240,6271,6272,6276,6297,6300,6303,6324,6325,6353,6356,6364,6373,6375,6383,6387,6395,6396,6397,6398,6428,6445,6496,6533,6535,6556,6557,6564,6568,6569,6572,6586,6601,6622,6623,6626,6629,6638,6653,6674,6680,6682,6697,6698,6701,6702,6704,6706,6707,6708,6710,6712,6714,6720,6721,6723,6724,6730,6732,6774,6780,6796,6798,6799,6800,6833,6838,6840,6845,6846,6856,6860,6872,6895,6896,6898,6899,6910,6914,6917,6935,6938,6958,6987,6988,6989,6995,7009,7028,7030,7032,7034,7039,7045,7047,7061,7066,7067,7102,7103,7104,7118,7119,7121,7122,7140,7142,7157,7183,7207,7218,7220,7222,7224,7225,7256,7257,7261,7262,7269,7270])). % 209.50/209.72 cnf(12386,plain, % 209.50/209.72 (~P106(f335(f335(f244(a927),x123861),x123861))), % 209.50/209.72 inference(rename_variables,[],[4774])). % 209.50/209.72 cnf(12389,plain, % 209.50/209.72 (~P106(f335(f335(f244(a927),x123891),x123891))), % 209.50/209.72 inference(rename_variables,[],[4774])). % 209.50/209.72 cnf(12392,plain, % 209.50/209.72 (~P106(f335(f335(f244(a927),x123921),x123921))), % 209.50/209.72 inference(rename_variables,[],[4774])). % 209.50/209.72 cnf(12395,plain, % 209.50/209.72 (P106(f335(f335(f244(a927),x123951),f335(a119,x123951)))), % 209.50/209.72 inference(rename_variables,[],[3617])). % 209.50/209.72 cnf(12402,plain, % 209.50/209.72 (P106(f335(f335(f337(f934(x124021,a922)),x124022),f335(f316(x124021),x124022)))), % 209.50/209.72 inference(rename_variables,[],[3916])). % 209.50/209.72 cnf(12407,plain, % 209.50/209.72 (P106(f335(f335(f243(f934(x124071,a922)),x124072),f335(f335(f317(x124071),x124073),x124072)))), % 209.50/209.72 inference(rename_variables,[],[3998])). % 209.50/209.72 cnf(12414,plain, % 209.50/209.72 (~P106(f335(f335(f337(x124141),x124142),f195(f934(x124141,a922))))), % 209.50/209.72 inference(rename_variables,[],[4787])). % 209.50/209.72 cnf(12423,plain, % 209.50/209.72 (P106(f335(f335(f243(f934(x124231,a922)),x124232),f250(f934(x124231,a922))))), % 209.50/209.72 inference(rename_variables,[],[3933])). % 209.50/209.72 cnf(12424,plain, % 209.50/209.72 (~E(f335(a119,x124241),x124241)), % 209.50/209.72 inference(rename_variables,[],[4713])). % 209.50/209.72 cnf(12427,plain, % 209.50/209.72 (P106(f335(f335(f243(f934(x124271,a922)),f335(f179(x124271),f335(f143(x124271,x124272),x124273))),f335(f179(x124271),x124273)))), % 209.50/209.72 inference(rename_variables,[],[4200])). % 209.50/209.72 cnf(12433,plain, % 209.50/209.72 (P106(f335(f335(f244(a927),x124331),f335(a119,x124331)))), % 209.50/209.72 inference(rename_variables,[],[3617])). % 209.50/209.72 cnf(12441,plain, % 209.50/209.72 (~P106(f335(f335(f337(f933(x124411,x124411)),x124412),f160(x124411,f120(f934(x124411,a927)))))), % 209.50/209.72 inference(scs_inference,[],[3786,4748,4749,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,11967,12257,12285,12297,12326,12332,3754,3470,4725,10723,10823,11295,3156,3157,3159,3160,3162,3163,3167,3168,3171,3175,3177,3184,3187,3188,3191,3193,3194,3203,3209,3218,3242,3243,3248,3252,3299,3300,3302,3307,3311,3316,3318,3322,3338,4709,4118,11998,3392,11710,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,11993,3487,3496,4010,4318,3381,3748,4104,11756,3447,3378,3408,3403,3390,3391,4023,3606,11138,3480,4189,4738,10553,10720,3540,12078,4785,11321,11420,11665,11668,3653,3444,3445,10623,10953,3707,3359,3466,11746,4332,4191,11341,11476,11537,4803,11240,11489,11600,11626,11673,11679,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,3915,4605,4606,4736,3850,4067,3732,3993,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,12253,12319,12395,4003,11984,3533,3629,11815,3813,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,12168,12371,4791,11858,11889,11924,11931,11964,3990,3755,3756,4139,3576,3578,3552,4775,4733,3739,4792,4325,11623,3873,3589,12099,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,4294,4253,4200,11135,4248,3916,11935,12256,4282,3933,10686,10783,11347,11425,11510,11574,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,12226,12284,12300,12303,12306,12309,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,12232,12243,12262,12267,12312,12335,3551,3625,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,12209,12296,12315,12318,12331,12383,12386,12389,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,12108,12377,12380,3610,10950,10980,10989,10992,10995,3649,3642,4071,4008,10602,11987,12015,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,12197,3570,10983,11143,11213,12016,12158,4033,4373,4781,4045,4079,4766,4769,3526,3530,4768,4767,3863,4469,4797,10849,10852,4802,11330,11333,11525,11636,11656,4157,11699,12036,3998,11256,11262,11282,12281,3847,11400,4000,10986,11363,11534,11568,3703,3814,10902,10905,10998,11169,4800,11981,4801,10742,10855,4430,4336,4032,3976,4798,10575,10578,10944,10947,11855,4799,11961,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228,6239,6240,6271,6272,6276,6297,6300,6303,6324,6325,6353,6356,6364,6373,6375,6383,6387,6395,6396,6397,6398,6428,6445,6496,6533,6535,6556,6557,6564,6568,6569,6572,6586,6601,6622,6623,6626,6629,6638,6653,6674,6680,6682,6697,6698,6701,6702,6704,6706,6707,6708,6710,6712,6714,6720,6721,6723,6724,6730,6732,6774,6780,6796,6798,6799,6800,6833,6838,6840,6845,6846,6856,6860,6872,6895,6896,6898,6899,6910,6914,6917,6935,6938,6958,6987,6988,6989,6995,7009,7028,7030,7032,7034,7039,7045,7047,7061,7066,7067,7102,7103,7104,7118,7119,7121,7122,7140,7142,7157,7183,7207,7218,7220,7222,7224,7225,7256,7257,7261,7262,7269,7270,7272,7274,7296,7305,7306,7317,7327,7367,7377,7381,7388,7399,7404,7406,7413,7421,7434,7451,7472,7474,7493])). % 209.50/209.72 cnf(12442,plain, % 209.50/209.72 (E(f335(f292(x124421,x124421),f271(x124421,x124422)),x124422)), % 209.50/209.72 inference(rename_variables,[],[3510])). % 209.50/209.72 cnf(12453,plain, % 209.50/209.72 (~P106(f335(f335(f243(a927),f335(a119,x124531)),x124531))), % 209.50/209.72 inference(rename_variables,[],[4784])). % 209.50/209.72 cnf(12454,plain, % 209.50/209.72 (~P106(f335(f335(f244(a927),x124541),f2(a927)))), % 209.50/209.72 inference(rename_variables,[],[4778])). % 209.50/209.72 cnf(12459,plain, % 209.50/209.72 (P106(f335(f66(x124591),f195(f934(x124591,a922))))), % 209.50/209.72 inference(rename_variables,[],[3625])). % 209.50/209.72 cnf(12460,plain, % 209.50/209.72 (~P106(f335(f335(f337(x124601),x124602),f195(f934(x124601,a922))))), % 209.50/209.72 inference(rename_variables,[],[4787])). % 209.50/209.72 cnf(12467,plain, % 209.50/209.72 (P106(f335(f335(f243(f934(x124671,a922)),f335(f179(x124671),f183(x124671,x124672,x124673))),f335(f179(x124671),x124672)))), % 209.50/209.72 inference(rename_variables,[],[4248])). % 209.50/209.72 cnf(12470,plain, % 209.50/209.72 (P25(x124701,x124701,f5(x124701),x124702)), % 209.50/209.72 inference(rename_variables,[],[3786])). % 209.50/209.72 cnf(12475,plain, % 209.50/209.72 (P106(f335(f335(f337(f934(x124751,a922)),x124752),f335(f316(x124751),x124752)))), % 209.50/209.72 inference(rename_variables,[],[3916])). % 209.50/209.72 cnf(12482,plain, % 209.50/209.72 (P106(f335(f335(f243(a927),x124821),x124821))), % 209.50/209.72 inference(rename_variables,[],[3549])). % 209.50/209.72 cnf(12485,plain, % 209.50/209.72 (~P106(f335(f335(f337(x124851),x124852),f195(f934(x124851,a922))))), % 209.50/209.72 inference(rename_variables,[],[4787])). % 209.50/209.72 cnf(12488,plain, % 209.50/209.72 (P106(f335(f335(f243(f934(x124881,a922)),x124882),f335(f335(f317(x124881),x124883),x124882)))), % 209.50/209.72 inference(rename_variables,[],[3998])). % 209.50/209.72 cnf(12489,plain, % 209.50/209.72 (P106(f335(f335(f243(f934(x124891,a922)),x124892),f250(f934(x124891,a922))))), % 209.50/209.72 inference(rename_variables,[],[3933])). % 209.50/209.72 cnf(12496,plain, % 209.50/209.72 (P106(f335(f335(f243(a927),x124961),x124961))), % 209.50/209.72 inference(rename_variables,[],[3549])). % 209.50/209.72 cnf(12499,plain, % 209.50/209.72 (P106(f335(f335(f243(a927),x124991),x124991))), % 209.50/209.72 inference(rename_variables,[],[3549])). % 209.50/209.72 cnf(12502,plain, % 209.50/209.72 (P106(f335(f335(f243(a927),x125021),x125021))), % 209.50/209.72 inference(rename_variables,[],[3549])). % 209.50/209.72 cnf(12505,plain, % 209.50/209.72 (P106(f335(f335(f243(a927),x125051),x125051))), % 209.50/209.72 inference(rename_variables,[],[3549])). % 209.50/209.72 cnf(12508,plain, % 209.50/209.72 (P106(f335(f335(f244(a927),x125081),f335(a119,x125081)))), % 209.50/209.72 inference(rename_variables,[],[3617])). % 209.50/209.72 cnf(12511,plain, % 209.50/209.72 (P106(f335(f335(f244(a927),x125111),f335(a119,x125111)))), % 209.50/209.72 inference(rename_variables,[],[3617])). % 209.50/209.72 cnf(12514,plain, % 209.50/209.72 (P106(f335(f335(f243(f934(x125141,a922)),x125142),x125142))), % 209.50/209.72 inference(rename_variables,[],[3847])). % 209.50/209.72 cnf(12516,plain, % 209.50/209.72 (~P106(f335(f335(f243(a1),f335(f335(f23(a1),a89),a104)),f2(a1)))), % 209.50/209.72 inference(scs_inference,[],[3786,11415,4748,4749,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,11967,12257,12285,12297,12326,12332,3754,3470,4725,10723,10823,11295,3156,3157,3159,3160,3162,3163,3166,3167,3168,3171,3175,3177,3184,3187,3188,3191,3193,3194,3203,3209,3218,3242,3243,3248,3252,3299,3300,3302,3307,3311,3316,3318,3322,3338,4709,4118,11998,3392,11710,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,11993,3487,3496,4010,4318,3381,3748,4104,11756,3447,3378,3408,3403,3390,3391,4023,3606,11138,3480,4189,4738,10553,10720,3540,12078,4785,11321,11420,11665,11668,3653,3444,3445,10623,10953,3707,3359,3466,11746,4332,4191,11341,11476,11537,4803,11240,11489,11600,11626,11673,11679,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,3915,4605,4606,4736,3850,4067,3732,3993,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,12253,12319,12395,12433,12508,4003,11984,3533,3629,11815,3813,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,12168,12371,12374,4791,11858,11889,11924,11931,11964,3990,3755,3756,4139,3576,3578,3552,4775,4733,3739,4792,4325,11623,3873,3589,12099,12102,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,4294,4253,4200,11135,4248,11344,3916,11935,12256,12402,4282,3933,10686,10783,11347,11425,11510,11574,12423,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,12226,12284,12300,12303,12306,12309,12482,12496,12499,12502,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,12232,12243,12262,12267,12312,12335,3551,3625,12459,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,12209,12296,12315,12318,12331,12383,12386,12389,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,12108,12377,12380,12414,12460,3610,10950,10980,10989,10992,10995,3649,3642,4071,4008,10602,11987,12015,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,12197,3570,10983,11143,11213,12016,12158,4033,4373,4781,4045,4079,4766,4769,3526,3530,4768,4767,3863,4469,4797,10849,10852,4802,11330,11333,11525,11636,11656,4157,11699,12036,3998,11256,11262,11282,12281,12407,3847,11400,11528,4000,10986,11363,11534,11568,3703,3814,10902,10905,10998,11169,4800,11981,4801,10742,10855,4430,4336,4032,3976,4798,10575,10578,10944,10947,11855,4799,11961,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228,6239,6240,6271,6272,6276,6297,6300,6303,6324,6325,6353,6356,6364,6373,6375,6383,6387,6395,6396,6397,6398,6428,6445,6496,6533,6535,6556,6557,6564,6568,6569,6572,6586,6601,6622,6623,6626,6629,6638,6653,6674,6680,6682,6697,6698,6701,6702,6704,6706,6707,6708,6710,6712,6714,6720,6721,6723,6724,6730,6732,6774,6780,6796,6798,6799,6800,6833,6838,6840,6845,6846,6856,6860,6872,6895,6896,6898,6899,6910,6914,6917,6935,6938,6958,6987,6988,6989,6995,7009,7028,7030,7032,7034,7039,7045,7047,7061,7066,7067,7102,7103,7104,7118,7119,7121,7122,7140,7142,7157,7183,7207,7218,7220,7222,7224,7225,7256,7257,7261,7262,7269,7270,7272,7274,7296,7305,7306,7317,7327,7367,7377,7381,7388,7399,7404,7406,7413,7421,7434,7451,7472,7474,7493,7550,7551,7552,7554,7556,7560,7561,7566,7627,7656,7671,7687,7718,7721,7743,7765,7783,7786,7787,7797,7817,7819,7821,7823,7824,7825,7850,7876])). % 209.50/209.72 cnf(12521,plain, % 209.50/209.72 (P106(f335(f335(f337(f934(x125211,a922)),x125212),f335(f316(x125211),x125212)))), % 209.50/209.72 inference(rename_variables,[],[3916])). % 209.50/209.72 cnf(12527,plain, % 209.50/209.72 (~P106(f335(f335(f244(a1),f335(f335(f86(a1),a89),a89)),f2(a1)))), % 209.50/209.72 inference(scs_inference,[],[3786,11415,4748,4749,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,11967,12257,12285,12297,12326,12332,3754,3470,4725,10723,10823,11295,3156,3157,3159,3160,3162,3163,3166,3167,3168,3171,3175,3177,3184,3187,3188,3191,3193,3194,3203,3209,3218,3242,3243,3248,3252,3299,3300,3302,3307,3311,3316,3318,3322,3338,4709,4118,11998,3392,11710,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,11993,3487,3496,4010,4318,3381,3748,4104,11756,3447,3378,3408,3403,3390,3391,4023,3606,11138,3480,4189,4738,10553,10720,3540,12078,4785,11321,11420,11665,11668,3653,3444,3445,10623,10953,3707,3359,3466,11746,4332,4191,11341,11476,11537,4803,11240,11489,11600,11626,11673,11679,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,3915,4605,4606,4736,3850,4067,3732,3993,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,12253,12319,12395,12433,12508,4003,11984,3533,3629,11815,3813,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,12168,12371,12374,4791,11858,11889,11924,11931,11964,3990,3755,3756,4139,3576,3578,3552,4775,4733,3739,4792,4325,11623,3873,3589,12099,12102,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,4294,4253,4200,11135,4248,11344,3916,11935,12256,12402,12475,4282,3933,10686,10783,11347,11425,11510,11574,12423,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,12226,12284,12300,12303,12306,12309,12482,12496,12499,12502,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,12232,12243,12262,12267,12312,12335,3551,3625,12459,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,12209,12296,12315,12318,12331,12383,12386,12389,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,12108,12377,12380,12414,12460,3610,10950,10980,10989,10992,10995,3649,3642,4071,4008,10602,11987,12015,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,12197,3570,10983,11143,11213,12016,12158,4033,4373,4781,4045,4079,4766,4769,3526,3530,4768,4767,3863,4469,4797,10849,10852,4802,11330,11333,11525,11636,11656,4157,11699,12036,3998,11256,11262,11282,12281,12407,3847,11400,11528,4000,10986,11363,11534,11568,3703,3814,10902,10905,10998,11169,4800,11981,4801,10742,10855,4430,4336,4032,3976,4798,10575,10578,10944,10947,11855,4799,11961,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228,6239,6240,6271,6272,6276,6297,6300,6303,6324,6325,6353,6356,6364,6373,6375,6383,6387,6395,6396,6397,6398,6428,6445,6496,6533,6535,6556,6557,6564,6568,6569,6572,6586,6601,6622,6623,6626,6629,6638,6653,6674,6680,6682,6697,6698,6701,6702,6704,6706,6707,6708,6710,6712,6714,6720,6721,6723,6724,6730,6732,6774,6780,6796,6798,6799,6800,6833,6838,6840,6845,6846,6856,6860,6872,6895,6896,6898,6899,6910,6914,6917,6935,6938,6958,6987,6988,6989,6995,7009,7028,7030,7032,7034,7039,7045,7047,7061,7066,7067,7102,7103,7104,7118,7119,7121,7122,7140,7142,7157,7183,7207,7218,7220,7222,7224,7225,7256,7257,7261,7262,7269,7270,7272,7274,7296,7305,7306,7317,7327,7367,7377,7381,7388,7399,7404,7406,7413,7421,7434,7451,7472,7474,7493,7550,7551,7552,7554,7556,7560,7561,7566,7627,7656,7671,7687,7718,7721,7743,7765,7783,7786,7787,7797,7817,7819,7821,7823,7824,7825,7850,7876,7877,7908,7910,7911,7912])). % 209.50/209.72 cnf(12530,plain, % 209.50/209.72 (~E(f335(a119,x125301),x125301)), % 209.50/209.72 inference(rename_variables,[],[4713])). % 209.50/209.72 cnf(12531,plain, % 209.50/209.72 (E(f335(f318(x125311,x125311,f5(x125311)),x125312),x125312)), % 209.50/209.72 inference(rename_variables,[],[3606])). % 209.50/209.72 cnf(12534,plain, % 209.50/209.72 (P32(x125341,x125342,f120(x125341),f120(x125341))), % 209.50/209.72 inference(rename_variables,[],[3795])). % 209.50/209.72 cnf(12537,plain, % 209.50/209.72 (P106(f335(f335(f243(f934(x125371,a922)),f335(f179(x125371),f183(x125371,x125372,x125373))),f335(f179(x125371),x125372)))), % 209.50/209.72 inference(rename_variables,[],[4248])). % 209.50/209.72 cnf(12538,plain, % 209.50/209.72 (P106(f335(f66(x125381),f335(f179(x125381),x125382)))), % 209.50/209.72 inference(rename_variables,[],[3589])). % 209.50/209.72 cnf(12549,plain, % 209.50/209.72 (~P106(f335(f335(f244(a927),x125491),x125491))), % 209.50/209.72 inference(rename_variables,[],[4774])). % 209.50/209.72 cnf(12551,plain, % 209.50/209.72 (~P106(f335(f335(f244(a927),f335(f259(x125511,x125512),f335(f335(f260(x125511,x125512),x125513),f165(x125514,x125515)))),x125513))), % 209.50/209.72 inference(scs_inference,[],[3786,11415,3795,4748,4749,4747,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,11967,12257,12285,12297,12326,12332,12424,3754,3470,4725,10723,10823,11295,3156,3157,3159,3160,3162,3163,3166,3167,3168,3171,3175,3177,3184,3187,3188,3191,3193,3194,3203,3209,3218,3242,3243,3248,3252,3299,3300,3302,3307,3311,3316,3318,3322,3338,4709,4118,11998,3392,11710,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,11993,3487,3496,4010,4318,3381,3748,4104,11756,3447,3378,3408,3403,3390,3391,4023,3606,11138,11265,3480,4189,4738,10553,10720,3540,12078,4785,11321,11420,11665,11668,3653,3444,3445,10623,10953,3707,3359,3466,11746,4332,4191,11341,11476,11537,4803,11240,11489,11600,11626,11673,11679,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,3915,4605,4606,4736,3850,4067,3732,3993,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,12253,12319,12395,12433,12508,4003,11984,3533,3629,11815,3813,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,12168,12371,12374,4791,11858,11889,11924,11931,11964,3990,3755,3756,4139,3576,3578,3552,4775,4733,3739,4792,4325,11623,3873,3589,12099,12102,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,4294,4253,4200,11135,4248,11344,12467,3916,11935,12256,12402,12475,4282,3933,10686,10783,11347,11425,11510,11574,12423,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,12226,12284,12300,12303,12306,12309,12482,12496,12499,12502,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,12232,12243,12262,12267,12312,12335,3551,3625,12459,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,12209,12296,12315,12318,12331,12383,12386,12389,12392,12549,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,12108,12377,12380,12414,12460,3610,10950,10980,10989,10992,10995,3649,3642,4071,4008,10602,11987,12015,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,12197,3570,10983,11143,11213,12016,12158,4033,4373,4781,4045,4079,4766,4769,3526,3530,4768,4767,3863,4469,4797,10849,10852,4802,11330,11333,11525,11636,11656,4157,11699,12036,3998,11256,11262,11282,12281,12407,3847,11400,11528,4000,10986,11363,11534,11568,3703,3814,10902,10905,10998,11169,4800,11981,4801,10742,10855,4430,4336,4032,3976,4798,10575,10578,10944,10947,11855,4799,11961,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228,6239,6240,6271,6272,6276,6297,6300,6303,6324,6325,6353,6356,6364,6373,6375,6383,6387,6395,6396,6397,6398,6428,6445,6496,6533,6535,6556,6557,6564,6568,6569,6572,6586,6601,6622,6623,6626,6629,6638,6653,6674,6680,6682,6697,6698,6701,6702,6704,6706,6707,6708,6710,6712,6714,6720,6721,6723,6724,6730,6732,6774,6780,6796,6798,6799,6800,6833,6838,6840,6845,6846,6856,6860,6872,6895,6896,6898,6899,6910,6914,6917,6935,6938,6958,6987,6988,6989,6995,7009,7028,7030,7032,7034,7039,7045,7047,7061,7066,7067,7102,7103,7104,7118,7119,7121,7122,7140,7142,7157,7183,7207,7218,7220,7222,7224,7225,7256,7257,7261,7262,7269,7270,7272,7274,7296,7305,7306,7317,7327,7367,7377,7381,7388,7399,7404,7406,7413,7421,7434,7451,7472,7474,7493,7550,7551,7552,7554,7556,7560,7561,7566,7627,7656,7671,7687,7718,7721,7743,7765,7783,7786,7787,7797,7817,7819,7821,7823,7824,7825,7850,7876,7877,7908,7910,7911,7912,7917,7938,7955,7960,7966,7968,7976,7988,7989])). % 209.50/209.72 cnf(12552,plain, % 209.50/209.72 (~P106(f335(f335(f244(a927),x125521),x125521))), % 209.50/209.72 inference(rename_variables,[],[4774])). % 209.50/209.72 cnf(12557,plain, % 209.50/209.72 (P106(f335(f335(f243(a927),f2(a927)),x125571))), % 209.50/209.72 inference(rename_variables,[],[3570])). % 209.50/209.72 cnf(12564,plain, % 209.50/209.72 (P13(a927,f335(f175(a927),f335(f335(f161(f928(x125641),a927),f196(f928(x125641))),f186(x125641,x125642))))), % 209.50/209.72 inference(rename_variables,[],[4114])). % 209.50/209.72 cnf(12567,plain, % 209.50/209.72 (P25(x125671,x125671,f5(x125671),x125672)), % 209.50/209.72 inference(rename_variables,[],[3786])). % 209.50/209.72 cnf(12570,plain, % 209.50/209.72 (P25(x125701,x125701,f5(x125701),x125702)), % 209.50/209.72 inference(rename_variables,[],[3786])). % 209.50/209.72 cnf(12573,plain, % 209.50/209.72 (P106(f335(f335(f337(f928(x125731)),f120(x125731)),f168(x125731,x125732)))), % 209.50/209.72 inference(rename_variables,[],[3746])). % 209.50/209.72 cnf(12576,plain, % 209.50/209.72 (~P106(f335(f335(f195(f934(x125761,f934(x125762,a922))),x125763),x125764))), % 209.50/209.72 inference(rename_variables,[],[4801])). % 209.50/209.72 cnf(12581,plain, % 209.50/209.72 (P106(f335(f335(f243(a927),x125811),x125811))), % 209.50/209.72 inference(rename_variables,[],[3549])). % 209.50/209.72 cnf(12582,plain, % 209.50/209.72 (P106(f335(f335(f243(a927),f2(a927)),x125821))), % 209.50/209.72 inference(rename_variables,[],[3570])). % 209.50/209.72 cnf(12585,plain, % 209.50/209.72 (~P106(f335(f335(f195(f934(x125851,f934(x125852,a922))),x125853),x125854))), % 209.50/209.72 inference(rename_variables,[],[4801])). % 209.50/209.72 cnf(12588,plain, % 209.50/209.72 (P106(f335(f335(f243(f934(f933(f928(x125881),f928(x125881)),a922)),f165(x125881,x125882)),f315(f928(x125881),f164(x125881,x125882))))), % 209.50/209.72 inference(rename_variables,[],[4253])). % 209.50/209.72 cnf(12594,plain, % 209.50/209.72 (P106(f335(f335(f243(f934(x125941,a922)),f335(f318(x125942,x125941,x125943),f335(f319(x125942,x125941,x125943),x125944))),x125944))), % 209.50/209.72 inference(rename_variables,[],[4430])). % 209.50/209.72 cnf(12597,plain, % 209.50/209.72 (P106(f335(f335(f243(f934(x125971,a922)),f335(f179(x125971),f183(x125971,x125972,x125973))),f335(f179(x125971),x125972)))), % 209.50/209.72 inference(rename_variables,[],[4248])). % 209.50/209.72 cnf(12598,plain, % 209.50/209.72 (P106(f335(f335(f243(f934(x125981,a922)),f335(f179(x125981),f335(f143(x125981,x125982),x125983))),f335(f179(x125981),x125983)))), % 209.50/209.72 inference(rename_variables,[],[4200])). % 209.50/209.72 cnf(12600,plain, % 209.50/209.72 (~P106(f335(f335(f243(f934(x126001,a922)),f250(f934(x126001,a922))),f195(f934(x126001,a922))))), % 209.50/209.72 inference(scs_inference,[],[3786,11415,12470,12567,3795,4748,4749,3421,4747,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,11967,12257,12285,12297,12326,12332,12424,3754,3470,4725,10723,10823,11295,3156,3157,3159,3160,3162,3163,3166,3167,3168,3171,3175,3177,3184,3187,3188,3191,3193,3194,3203,3209,3218,3242,3243,3248,3252,3299,3300,3302,3307,3311,3316,3318,3322,3338,4709,4118,11998,3392,11710,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,11993,3487,3496,4010,4318,3381,3748,4104,11756,3447,3378,3408,3403,3390,3391,4023,3428,3606,11138,11265,3480,4189,4738,10553,10720,3540,12078,4785,11321,11420,11665,11668,3653,3444,3445,10623,10953,3707,3359,3466,11746,4332,4191,11341,11476,11537,4803,11240,11489,11600,11626,11673,11679,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,3915,4605,4606,4736,3850,4067,4114,3732,3993,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,12253,12319,12395,12433,12508,4003,11984,3533,3629,11815,3813,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,12168,12371,12374,12454,4791,11858,11889,11924,11931,11964,3990,3755,3756,4139,3576,3578,3552,4775,4733,3739,4792,4325,11623,3873,3589,12099,12102,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,4294,4253,12246,12588,4200,11135,12427,4248,11344,12467,12537,3916,11935,12256,12402,12475,12521,4282,3933,10686,10783,11347,11425,11510,11574,12423,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,12226,12284,12300,12303,12306,12309,12482,12496,12499,12502,12505,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,12232,12243,12262,12267,12312,12335,3551,3625,12459,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,12209,12296,12315,12318,12331,12383,12386,12389,12392,12549,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,12061,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,12108,12377,12380,12414,12460,3610,10950,10980,10989,10992,10995,3649,3642,4071,4008,10602,11987,12015,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,12197,12453,3570,10983,11143,11213,12016,12158,12357,12557,4033,4373,4781,4045,4079,4766,4769,3526,3530,4768,4767,3863,4469,4797,10849,10852,4802,11330,11333,11525,11636,11656,4157,11699,12036,3998,11256,11262,11282,12281,12407,3847,11400,11528,4000,10986,11363,11534,11568,3703,3814,10902,10905,10998,11169,4800,11981,4801,10742,10855,11645,12576,4430,11126,4336,4032,3976,4798,10575,10578,10944,10947,11855,4799,11961,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228,6239,6240,6271,6272,6276,6297,6300,6303,6324,6325,6353,6356,6364,6373,6375,6383,6387,6395,6396,6397,6398,6428,6445,6496,6533,6535,6556,6557,6564,6568,6569,6572,6586,6601,6622,6623,6626,6629,6638,6653,6674,6680,6682,6697,6698,6701,6702,6704,6706,6707,6708,6710,6712,6714,6720,6721,6723,6724,6730,6732,6774,6780,6796,6798,6799,6800,6833,6838,6840,6845,6846,6856,6860,6872,6895,6896,6898,6899,6910,6914,6917,6935,6938,6958,6987,6988,6989,6995,7009,7028,7030,7032,7034,7039,7045,7047,7061,7066,7067,7102,7103,7104,7118,7119,7121,7122,7140,7142,7157,7183,7207,7218,7220,7222,7224,7225,7256,7257,7261,7262,7269,7270,7272,7274,7296,7305,7306,7317,7327,7367,7377,7381,7388,7399,7404,7406,7413,7421,7434,7451,7472,7474,7493,7550,7551,7552,7554,7556,7560,7561,7566,7627,7656,7671,7687,7718,7721,7743,7765,7783,7786,7787,7797,7817,7819,7821,7823,7824,7825,7850,7876,7877,7908,7910,7911,7912,7917,7938,7955,7960,7966,7968,7976,7988,7989,7991,8012,8018,8039,8105,8106,8107,8154,8160,8161,8185,8186,8203,8204,8205,8262,8263])). % 209.50/209.72 cnf(12601,plain, % 209.50/209.72 (~P106(f335(f335(f244(f934(x126011,a922)),x126012),f195(f934(x126011,a922))))), % 209.50/209.72 inference(rename_variables,[],[4795])). % 209.50/209.72 cnf(12609,plain, % 209.50/209.72 (P106(f335(f335(f243(f934(x126091,a922)),f335(f318(x126092,x126091,x126093),f335(f319(x126092,x126091,x126093),x126094))),x126094))), % 209.50/209.72 inference(rename_variables,[],[4430])). % 209.50/209.72 cnf(12613,plain, % 209.50/209.72 (P106(f335(f335(f337(f933(f928(a927),f928(a927))),f335(f335(f260(f928(a927),f928(a927)),f120(a927)),f121(a927,f120(a927)))),f271(f928(a927),f168(a927,x126131))))), % 209.50/209.72 inference(scs_inference,[],[3786,11415,12470,12567,3795,3803,3520,4748,4749,3418,3421,4747,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,11967,12257,12285,12297,12326,12332,12424,3754,3470,4725,10723,10823,11295,3156,3157,3159,3160,3162,3163,3166,3167,3168,3171,3175,3177,3184,3187,3188,3191,3193,3194,3203,3209,3218,3227,3242,3243,3248,3252,3299,3300,3302,3307,3311,3316,3318,3322,3338,4709,4118,11998,3392,11710,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,11993,3487,3496,4010,4318,3381,3748,4104,11756,3447,3378,3408,3403,3390,3391,4023,3428,3606,11138,11265,3480,4189,4738,10553,10720,3540,12078,4785,11321,11420,11665,11668,3653,3444,3445,10623,10953,3707,3359,3466,11746,4332,4191,11341,11476,11537,4803,11240,11489,11600,11626,11673,11679,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,12573,3915,4605,4606,4736,3850,4067,4114,3732,3993,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,12253,12319,12395,12433,12508,4003,11984,3533,3629,11815,3813,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,12168,12371,12374,12454,4791,11858,11889,11924,11931,11964,3990,3755,3756,4139,3576,3578,3552,4775,4733,3739,4792,4325,11623,3873,3589,12099,12102,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,4294,4253,12246,12588,4200,11135,12427,4248,11344,12467,12537,3916,11935,12256,12402,12475,12521,4282,3933,10686,10783,11347,11425,11510,11574,12423,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,12226,12284,12300,12303,12306,12309,12482,12496,12499,12502,12505,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,12232,12243,12262,12267,12312,12335,3551,3625,12459,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,12209,12296,12315,12318,12331,12383,12386,12389,12392,12549,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,12061,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,12108,12377,12380,12414,12460,3610,10950,10980,10989,10992,10995,3649,3642,4071,4008,10602,11987,12015,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,12197,12453,3570,10983,11143,11213,12016,12158,12357,12557,4033,4373,4781,4045,4079,4766,4769,3526,3530,4768,4767,3863,4469,4797,10849,10852,4802,11330,11333,11525,11636,11656,4157,11699,12036,3998,11256,11262,11282,12281,12407,3847,11400,11528,4000,10986,11363,11534,11568,3703,3814,10902,10905,10998,11169,4800,11981,4801,10742,10855,11645,12576,4430,11126,12594,4336,4032,3976,4798,10575,10578,10944,10947,11855,4799,11961,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228,6239,6240,6271,6272,6276,6297,6300,6303,6324,6325,6353,6356,6364,6373,6375,6383,6387,6395,6396,6397,6398,6428,6445,6496,6533,6535,6556,6557,6564,6568,6569,6572,6586,6601,6622,6623,6626,6629,6638,6653,6674,6680,6682,6697,6698,6701,6702,6704,6706,6707,6708,6710,6712,6714,6720,6721,6723,6724,6730,6732,6774,6780,6796,6798,6799,6800,6833,6838,6840,6845,6846,6856,6860,6872,6895,6896,6898,6899,6910,6914,6917,6935,6938,6958,6987,6988,6989,6995,7009,7028,7030,7032,7034,7039,7045,7047,7061,7066,7067,7102,7103,7104,7118,7119,7121,7122,7140,7142,7157,7183,7207,7218,7220,7222,7224,7225,7256,7257,7261,7262,7269,7270,7272,7274,7296,7305,7306,7317,7327,7367,7377,7381,7388,7399,7404,7406,7413,7421,7434,7451,7472,7474,7493,7550,7551,7552,7554,7556,7560,7561,7566,7627,7656,7671,7687,7718,7721,7743,7765,7783,7786,7787,7797,7817,7819,7821,7823,7824,7825,7850,7876,7877,7908,7910,7911,7912,7917,7938,7955,7960,7966,7968,7976,7988,7989,7991,8012,8018,8039,8105,8106,8107,8154,8160,8161,8185,8186,8203,8204,8205,8262,8263,8292,8322,8331,8342,8355])). % 209.50/209.72 cnf(12614,plain, % 209.50/209.72 (P106(f335(f335(f337(f928(x126141)),f120(x126141)),f168(x126141,x126142)))), % 209.50/209.72 inference(rename_variables,[],[3746])). % 209.50/209.72 cnf(12617,plain, % 209.50/209.72 (~P106(f335(f335(f337(f933(f928(x126171),f928(x126171))),f335(f335(f260(f928(x126171),f928(x126171)),x126172),f120(x126171))),f152(x126171,x126173)))), % 209.50/209.72 inference(rename_variables,[],[4803])). % 209.50/209.72 cnf(12620,plain, % 209.50/209.72 (~P106(f335(f335(f244(a927),x126201),f2(a927)))), % 209.50/209.72 inference(rename_variables,[],[4778])). % 209.50/209.72 cnf(12622,plain, % 209.50/209.72 (~P106(f335(f66(x126221),f250(f934(x126221,a922))))), % 209.50/209.72 inference(scs_inference,[],[3786,11415,12470,12567,3795,3803,3520,4748,4749,3418,3421,4747,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,11967,12257,12285,12297,12326,12332,12424,3754,3470,4725,10723,10823,11295,3156,3157,3159,3160,3162,3163,3166,3167,3168,3171,3175,3177,3184,3187,3188,3191,3193,3194,3203,3209,3218,3227,3242,3243,3248,3252,3299,3300,3302,3307,3311,3316,3318,3322,3338,4709,4118,11998,3392,11710,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,11993,3487,3496,4010,4318,3381,3748,4104,11756,3447,3378,3408,3403,3390,3391,4023,3428,3606,11138,11265,3480,4189,4738,10553,10720,3540,12078,4785,11321,11420,11665,11668,3653,3444,3445,10623,10953,3707,3359,3466,11746,4332,4191,11341,11476,11537,4803,11240,11489,11600,11626,11673,11679,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,12573,12614,3915,4605,4606,4736,3850,4067,4114,3732,3993,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,12253,12319,12395,12433,12508,4003,11984,3533,3629,11815,3813,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,12168,12371,12374,12454,4791,11858,11889,11924,11931,11964,3990,3755,3756,4139,3576,3578,3552,4775,4733,3739,4792,4325,11623,3873,3589,12099,12102,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,4294,4253,12246,12588,4200,11135,12427,4248,11344,12467,12537,3916,11935,12256,12402,12475,12521,4282,3933,10686,10783,11347,11425,11510,11574,12423,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,12226,12284,12300,12303,12306,12309,12482,12496,12499,12502,12505,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,12232,12243,12262,12267,12312,12335,3551,3625,12459,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,12209,12296,12315,12318,12331,12383,12386,12389,12392,12549,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,12061,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,12108,12377,12380,12414,12460,3610,10950,10980,10989,10992,10995,3649,3642,4071,4008,10602,11987,12015,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,12197,12453,3570,10983,11143,11213,12016,12158,12357,12557,4033,4373,4781,4045,4079,4766,4769,3526,3530,4768,4767,3863,4469,4797,10849,10852,4802,11330,11333,11525,11636,11656,4157,11699,12036,3998,11256,11262,11282,12281,12407,3847,11400,11528,12514,4000,10986,11363,11534,11568,3703,3814,10902,10905,10998,11169,4800,11981,4801,10742,10855,11645,12576,4430,11126,12594,4336,4032,3976,4798,10575,10578,10944,10947,11855,4799,11961,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228,6239,6240,6271,6272,6276,6297,6300,6303,6324,6325,6353,6356,6364,6373,6375,6383,6387,6395,6396,6397,6398,6428,6445,6496,6533,6535,6556,6557,6564,6568,6569,6572,6586,6601,6622,6623,6626,6629,6638,6653,6674,6680,6682,6697,6698,6701,6702,6704,6706,6707,6708,6710,6712,6714,6720,6721,6723,6724,6730,6732,6774,6780,6796,6798,6799,6800,6833,6838,6840,6845,6846,6856,6860,6872,6895,6896,6898,6899,6910,6914,6917,6935,6938,6958,6987,6988,6989,6995,7009,7028,7030,7032,7034,7039,7045,7047,7061,7066,7067,7102,7103,7104,7118,7119,7121,7122,7140,7142,7157,7183,7207,7218,7220,7222,7224,7225,7256,7257,7261,7262,7269,7270,7272,7274,7296,7305,7306,7317,7327,7367,7377,7381,7388,7399,7404,7406,7413,7421,7434,7451,7472,7474,7493,7550,7551,7552,7554,7556,7560,7561,7566,7627,7656,7671,7687,7718,7721,7743,7765,7783,7786,7787,7797,7817,7819,7821,7823,7824,7825,7850,7876,7877,7908,7910,7911,7912,7917,7938,7955,7960,7966,7968,7976,7988,7989,7991,8012,8018,8039,8105,8106,8107,8154,8160,8161,8185,8186,8203,8204,8205,8262,8263,8292,8322,8331,8342,8355,8384,8388,8394])). % 209.50/209.72 cnf(12623,plain, % 209.50/209.72 (P106(f335(f335(f243(f934(x126231,a922)),x126232),x126232))), % 209.50/209.72 inference(rename_variables,[],[3847])). % 209.50/209.72 cnf(12626,plain, % 209.50/209.72 (~P106(f335(f335(f337(x126261),x126262),f195(f934(x126261,a922))))), % 209.50/209.72 inference(rename_variables,[],[4787])). % 209.50/209.72 cnf(12629,plain, % 209.50/209.72 (~P106(f335(f335(f195(f934(x126291,f934(x126292,a922))),x126293),x126294))), % 209.50/209.72 inference(rename_variables,[],[4801])). % 209.50/209.72 cnf(12632,plain, % 209.50/209.72 (P106(f335(f335(f243(f934(x126321,a922)),f335(f318(x126322,x126321,x126323),f335(f319(x126322,x126321,x126323),x126324))),x126324))), % 209.50/209.72 inference(rename_variables,[],[4430])). % 209.50/209.72 cnf(12633,plain, % 209.50/209.72 (P106(f335(f335(f243(f934(x126331,a922)),x126332),x126332))), % 209.50/209.72 inference(rename_variables,[],[3847])). % 209.50/209.72 cnf(12638,plain, % 209.50/209.72 (E(f335(f292(x126381,x126381),f271(x126381,x126382)),x126382)), % 209.50/209.72 inference(rename_variables,[],[3510])). % 209.50/209.72 cnf(12641,plain, % 209.50/209.72 (P106(f335(f335(f243(f934(x126411,a922)),f335(f179(x126411),f183(x126411,x126412,x126413))),f335(f179(x126411),x126412)))), % 209.50/209.72 inference(rename_variables,[],[4248])). % 209.50/209.72 cnf(12642,plain, % 209.50/209.72 (P106(f335(f66(x126421),f335(f179(x126421),x126422)))), % 209.50/209.72 inference(rename_variables,[],[3589])). % 209.50/209.72 cnf(12645,plain, % 209.50/209.72 (P106(f335(f335(f243(a927),x126451),x126451))), % 209.50/209.72 inference(rename_variables,[],[3549])). % 209.50/209.72 cnf(12648,plain, % 209.50/209.72 (~P106(f335(f335(f244(a927),x126481),x126481))), % 209.50/209.72 inference(rename_variables,[],[4774])). % 209.50/209.72 cnf(12651,plain, % 209.50/209.73 (~P106(f335(f335(f244(a927),x126511),x126511))), % 209.50/209.73 inference(rename_variables,[],[4774])). % 209.50/209.73 cnf(12662,plain, % 209.50/209.73 (P25(x126621,x126621,f5(x126621),x126622)), % 209.50/209.73 inference(rename_variables,[],[3786])). % 209.50/209.73 cnf(12670,plain, % 209.50/209.73 (~P106(f335(f335(f337(x126701),x126702),f195(f934(x126701,a922))))), % 209.50/209.73 inference(rename_variables,[],[4787])). % 209.50/209.73 cnf(12673,plain, % 209.50/209.73 (P106(f335(f335(f337(f933(x126731,x126731)),f335(f335(f260(x126731,x126731),x126732),x126732)),f315(x126731,x126733)))), % 209.50/209.73 inference(rename_variables,[],[4191])). % 209.50/209.73 cnf(12676,plain, % 209.50/209.73 (~P106(f335(f335(f337(x126761),x126762),f195(f934(x126761,a922))))), % 209.50/209.73 inference(rename_variables,[],[4787])). % 209.50/209.73 cnf(12679,plain, % 209.50/209.73 (P106(f335(f335(f337(f933(x126791,x126791)),f335(f335(f260(x126791,x126791),x126792),x126792)),f315(x126791,x126793)))), % 209.50/209.73 inference(rename_variables,[],[4191])). % 209.50/209.73 cnf(12689,plain, % 209.50/209.73 (~E(f335(f335(f158(x126891),x126892),x126893),x126893)), % 209.50/209.73 inference(rename_variables,[],[4738])). % 209.50/209.73 cnf(12691,plain, % 209.50/209.73 (~P26(a927,a927,x126911,f250(f934(a927,a922)),f314(a927,x126912,x126913))), % 209.50/209.73 inference(scs_inference,[],[3786,11415,12470,12567,12570,3795,3803,3520,4748,4749,3418,3421,4747,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,11967,12257,12285,12297,12326,12332,12424,3754,12229,3470,4725,10723,10823,11295,3156,3157,3159,3160,3162,3163,3166,3167,3168,3171,3175,3177,3182,3184,3187,3188,3191,3193,3194,3203,3209,3218,3227,3242,3243,3248,3252,3299,3300,3302,3307,3311,3316,3318,3322,3338,4709,4118,11998,3392,11710,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,11993,12442,3487,3496,4010,4318,3381,3748,4104,11756,3447,3378,3408,3868,3403,3390,3391,4023,3428,3606,11138,11265,3480,4189,4738,10553,10720,11606,3540,12078,4785,11321,11420,11665,11668,3653,4763,3444,3445,10623,10953,3707,3359,3466,11746,4332,4191,11341,11476,11537,12673,4803,11240,11489,11600,11626,11673,11679,12617,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,12573,12614,3915,3695,4605,4606,4736,11739,3850,4067,4114,3732,3993,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,12253,12319,12395,12433,12508,12511,4003,11984,3533,3629,11815,3813,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,12168,12371,12374,12454,12620,4791,11858,11889,11924,11931,11964,3990,3755,3756,4139,3576,3578,3552,4775,4733,3739,4792,4325,11623,3873,3589,12099,12102,12538,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,4294,4253,12246,12588,4200,11135,12427,4248,11344,12467,12537,12597,12641,3916,11935,12256,12402,12475,12521,4282,3933,10686,10783,11347,11425,11510,11574,12423,12489,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,12226,12284,12300,12303,12306,12309,12482,12496,12499,12502,12505,12581,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,12232,12243,12262,12267,12312,12335,3551,3625,12459,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,12209,12296,12315,12318,12331,12383,12386,12389,12392,12549,12552,12648,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,12061,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,12108,12377,12380,12414,12460,12485,12626,12670,3610,10950,10980,10989,10992,10995,3649,3642,4071,4008,10602,11987,12015,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,12197,12453,3570,10983,11143,11213,12016,12158,12357,12557,4033,4373,4781,4045,4079,4766,4769,3526,3530,4768,4767,3863,4469,4797,10849,10852,4802,11330,11333,11525,11636,11656,11702,4157,11699,12036,3998,11256,11262,11282,12281,12407,3847,11400,11528,12514,12623,4000,10986,11363,11534,11568,3703,3814,10902,10905,10998,11169,4800,11981,4801,10742,10855,11645,12576,12585,4430,11126,12594,12609,4336,4032,3976,4798,10575,10578,10944,10947,11855,4799,11961,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,896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% 209.50/209.73 cnf(12696,plain, % 209.50/209.73 (P106(f335(f335(f337(x126961),x126962),f250(f934(x126961,a922))))), % 209.50/209.73 inference(rename_variables,[],[3702])). % 209.50/209.73 cnf(12697,plain, % 209.50/209.73 (~E(f335(a119,x126971),x126971)), % 209.50/209.73 inference(rename_variables,[],[4713])). % 209.50/209.73 cnf(12700,plain, % 209.50/209.73 (P106(f335(f335(f337(f928(x127001)),f120(x127001)),f168(x127001,x127002)))), % 209.50/209.73 inference(rename_variables,[],[3746])). % 209.50/209.73 cnf(12701,plain, % 209.50/209.73 (~E(f335(f335(f158(x127011),x127012),x127013),f120(x127011))), % 209.50/209.73 inference(rename_variables,[],[4745])). % 209.50/209.73 cnf(12704,plain, % 209.50/209.73 (P25(x127041,x127041,f5(x127041),x127042)), % 209.50/209.73 inference(rename_variables,[],[3786])). % 209.50/209.73 cnf(12707,plain, % 209.50/209.73 (P106(f335(f335(f337(x127071),f335(x127072,x127073)),f335(f318(x127074,x127071,x127072),f250(f934(x127074,a922)))))), % 209.50/209.73 inference(rename_variables,[],[4157])). % 209.50/209.73 cnf(12708,plain, % 209.50/209.73 (P25(x127081,x127081,f5(x127081),x127082)), % 209.50/209.73 inference(rename_variables,[],[3786])). % 209.50/209.73 cnf(12711,plain, % 209.50/209.73 (P106(f335(f335(f243(f934(x127111,a922)),f195(f934(x127111,a922))),x127112))), % 209.50/209.73 inference(rename_variables,[],[4000])). % 209.50/209.73 cnf(12712,plain, % 209.50/209.73 (P106(f335(f335(f243(f934(x127121,a922)),x127122),x127122))), % 209.50/209.73 inference(rename_variables,[],[3847])). % 209.50/209.73 cnf(12715,plain, % 209.50/209.73 (P106(f335(f335(f337(x127151),f335(x127152,x127153)),f335(f318(x127154,x127151,x127152),f250(f934(x127154,a922)))))), % 209.50/209.73 inference(rename_variables,[],[4157])). % 209.50/209.73 cnf(12716,plain, % 209.50/209.73 (P25(x127161,x127161,f5(x127161),x127162)), % 209.50/209.73 inference(rename_variables,[],[3786])). % 209.50/209.73 cnf(12719,plain, % 209.50/209.73 (P106(f335(f335(f337(f933(f928(x127191),f928(x127191))),f335(f335(f260(f928(x127191),f928(x127191)),f120(x127191)),f120(x127191))),f165(x127191,x127192)))), % 209.50/209.73 inference(rename_variables,[],[4332])). % 209.50/209.73 cnf(12723,plain, % 209.50/209.73 (~P106(f335(f335(f244(a927),x127231),f2(a927)))), % 209.50/209.73 inference(rename_variables,[],[4778])). % 209.50/209.73 cnf(12729,plain, % 209.50/209.73 (E(f335(f335(f141(x127291),x127292),f120(x127291)),x127292)), % 209.50/209.73 inference(rename_variables,[],[3481])). % 209.50/209.73 cnf(12730,plain, % 209.50/209.73 (~E(f335(f335(f158(x127301),x127302),x127303),x127303)), % 209.50/209.73 inference(rename_variables,[],[4738])). % 209.50/209.73 cnf(12733,plain, % 209.50/209.73 (E(f335(f335(f141(x127331),x127332),f120(x127331)),x127332)), % 209.50/209.73 inference(rename_variables,[],[3481])). % 209.50/209.73 cnf(12734,plain, % 209.50/209.73 (~E(f335(f335(f158(x127341),x127342),x127343),x127343)), % 209.50/209.73 inference(rename_variables,[],[4738])). % 209.50/209.73 cnf(12737,plain, % 209.50/209.73 (E(f335(f335(f141(x127371),x127372),f120(x127371)),x127372)), % 209.50/209.73 inference(rename_variables,[],[3481])). % 209.50/209.73 cnf(12744,plain, % 209.50/209.73 (P52(x127441,f271(x127441,x127442))), % 209.50/209.73 inference(rename_variables,[],[3422])). % 209.50/209.73 cnf(12747,plain, % 209.50/209.73 (P106(f335(f335(f243(f934(x127471,a922)),f335(f179(x127471),f335(f143(x127471,x127472),x127473))),f335(f179(x127471),x127473)))), % 209.50/209.73 inference(rename_variables,[],[4200])). % 209.50/209.73 cnf(12748,plain, % 209.50/209.73 (E(f335(f318(x127481,x127481,f5(x127481)),x127482),x127482)), % 209.50/209.73 inference(rename_variables,[],[3606])). % 209.50/209.73 cnf(12753,plain, % 209.50/209.73 (P106(f335(f335(f243(f934(x127531,a922)),x127532),f250(f934(x127531,a922))))), % 209.50/209.73 inference(rename_variables,[],[3933])). % 209.50/209.73 cnf(12757,plain, % 209.50/209.73 (~P106(f335(f335(f244(a927),x127571),x127571))), % 209.50/209.73 inference(rename_variables,[],[4774])). % 209.50/209.73 cnf(12758,plain, % 209.50/209.73 (~E(f335(a119,x127581),x127581)), % 209.50/209.73 inference(rename_variables,[],[4713])). % 209.50/209.73 cnf(12761,plain, % 209.50/209.73 (P106(f335(f335(f243(f934(x127611,a922)),f195(f934(x127611,a922))),x127612))), % 209.50/209.73 inference(rename_variables,[],[4000])). % 209.50/209.73 cnf(12764,plain, % 209.50/209.73 (P106(f335(f335(f243(a927),x127641),x127641))), % 209.50/209.73 inference(rename_variables,[],[3549])). % 209.50/209.73 cnf(12767,plain, % 209.50/209.73 (P106(f335(f335(f243(f934(x127671,a922)),x127672),x127672))), % 209.50/209.73 inference(rename_variables,[],[3847])). % 209.50/209.73 cnf(12772,plain, % 209.50/209.73 (P106(f335(f335(f243(f934(x127721,a922)),x127722),f335(f335(f317(x127721),x127723),x127722)))), % 209.50/209.73 inference(rename_variables,[],[3998])). % 209.50/209.73 cnf(12775,plain, % 209.50/209.73 (P106(f335(f335(f243(f934(x127751,a922)),x127752),x127752))), % 209.50/209.73 inference(rename_variables,[],[3847])). % 209.50/209.73 cnf(12776,plain, % 209.50/209.73 (~P106(f335(f335(f337(x127761),x127762),f195(f934(x127761,a922))))), % 209.50/209.73 inference(rename_variables,[],[4787])). % 209.50/209.73 cnf(12779,plain, % 209.50/209.73 (~P106(f335(f335(f337(x127791),x127792),f195(f934(x127791,a922))))), % 209.50/209.73 inference(rename_variables,[],[4787])). % 209.50/209.73 cnf(12788,plain, % 209.50/209.73 (P25(x127881,x127881,f5(x127881),x127882)), % 209.50/209.73 inference(rename_variables,[],[3786])). % 209.50/209.73 cnf(12791,plain, % 209.50/209.73 (E(f335(f196(f928(x127911)),f176(x127911,x127912,x127913)),x127912)), % 209.50/209.73 inference(rename_variables,[],[3616])). % 209.50/209.73 cnf(12794,plain, % 209.50/209.73 (P26(x127941,x127941,f25(x127941),x127942,x127942)), % 209.50/209.73 inference(rename_variables,[],[4215])). % 209.50/209.73 cnf(12797,plain, % 209.50/209.73 (~P106(f335(f335(f244(a927),x127971),x127971))), % 209.50/209.73 inference(rename_variables,[],[4774])). % 209.50/209.73 cnf(12798,plain, % 209.50/209.73 (P106(f335(f250(f934(x127981,a922)),x127982))), % 209.50/209.73 inference(rename_variables,[],[3610])). % 209.50/209.73 cnf(12801,plain, % 209.50/209.73 (~P106(f335(f335(f337(x128011),x128012),f195(f934(x128011,a922))))), % 209.50/209.73 inference(rename_variables,[],[4787])). % 209.50/209.73 cnf(12804,plain, % 209.50/209.73 (P106(f335(f335(f337(x128041),f335(x128042,x128043)),f335(f318(x128044,x128041,x128042),f250(f934(x128044,a922)))))), % 209.50/209.73 inference(rename_variables,[],[4157])). % 209.50/209.73 cnf(12805,plain, % 209.50/209.73 (P106(f335(f335(f337(f933(x128051,x128051)),f335(f335(f260(x128051,x128051),x128052),x128052)),f315(x128051,x128053)))), % 209.50/209.73 inference(rename_variables,[],[4191])). % 209.50/209.73 cnf(12808,plain, % 209.50/209.73 (P106(f335(f335(f337(f933(x128081,x128081)),f335(f335(f260(x128081,x128081),x128082),x128082)),f315(x128081,x128083)))), % 209.50/209.73 inference(rename_variables,[],[4191])). % 209.50/209.73 cnf(12811,plain, % 209.50/209.73 (P106(f335(f335(f243(a927),x128111),x128111))), % 209.50/209.73 inference(rename_variables,[],[3549])). % 209.50/209.73 cnf(12812,plain, % 209.50/209.73 (P106(f335(f250(f934(x128121,a922)),x128122))), % 209.50/209.73 inference(rename_variables,[],[3610])). % 209.50/209.73 cnf(12815,plain, % 209.50/209.73 (P106(f335(f335(f243(f934(x128151,a922)),x128152),f250(f934(x128151,a922))))), % 209.50/209.73 inference(rename_variables,[],[3933])). % 209.50/209.73 cnf(12816,plain, % 209.50/209.73 (P26(x128161,x128161,f25(x128161),x128162,x128162)), % 209.50/209.73 inference(rename_variables,[],[4215])). % 209.50/209.73 cnf(12819,plain, % 209.50/209.73 (P106(f335(f66(x128191),f335(f179(x128191),x128192)))), % 209.50/209.73 inference(rename_variables,[],[3589])). % 209.50/209.73 cnf(12821,plain, % 209.50/209.73 (E(f335(f335(f141(x128211),f704(x128212,x128213,f120(x128211),f335(f335(f158(x128211),x128213),x128212),x128211)),f120(x128211)),x128212)), % 209.50/209.73 inference(scs_inference,[],[4215,12794,3786,11415,12470,12567,12570,12662,12704,12708,12716,3795,3803,3520,4748,4749,3418,3421,3422,4747,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,11967,12257,12285,12297,12326,12332,12424,12530,12697,3605,3754,12229,3470,4725,10723,10823,11295,3156,3157,3159,3160,3162,3163,3166,3167,3168,3171,3175,3177,3182,3184,3187,3188,3191,3193,3194,3203,3209,3218,3227,3242,3243,3248,3252,3299,3300,3302,3307,3311,3316,3318,3322,3338,4709,4118,11998,3392,11710,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,11993,12442,3481,12729,12733,12737,3487,3496,4010,4318,3616,3381,3748,4104,11756,3447,3378,3408,3868,3403,3390,3391,4023,3428,3606,11138,11265,12531,12748,3480,4189,4738,10553,10720,11606,12689,12730,4745,12701,3540,12078,4785,11321,11420,11665,11668,3653,4763,3444,3445,10623,10953,3707,3359,3466,11746,4332,12719,4191,11341,11476,11537,12673,12679,12805,4803,11240,11489,11600,11626,11673,11679,12617,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,12573,12614,12700,3915,3695,4605,4606,4736,11739,3850,4067,4114,3732,3993,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,12253,12319,12395,12433,12508,12511,4003,11984,3533,3629,11815,3813,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,12168,12371,12374,12454,12620,4791,11858,11889,11924,11931,11964,3990,3755,3756,4139,3576,3578,3552,4775,4733,3941,3739,4792,4325,11623,3873,3589,12099,12102,12538,12642,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,12165,4294,4253,12246,12588,4200,11135,12427,12598,4248,11344,12467,12537,12597,12641,3916,11935,12256,12402,12475,12521,4282,3933,10686,10783,11347,11425,11510,11574,12423,12489,12753,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,12226,12284,12300,12303,12306,12309,12482,12496,12499,12502,12505,12581,12645,12764,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,12232,12243,12262,12267,12312,12335,3551,3625,12459,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,12209,12296,12315,12318,12331,12383,12386,12389,12392,12549,12552,12648,12651,12757,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,12061,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,12108,12377,12380,12414,12460,12485,12626,12670,12676,12776,12779,3610,10950,10980,10989,10992,10995,11592,12798,3649,3642,4071,4008,10602,11987,12015,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,12197,12453,3570,10983,11143,11213,12016,12158,12357,12557,4033,4373,4781,4045,4079,4766,4769,3526,3530,4768,4767,3863,4469,4797,10849,10852,4802,11330,11333,11525,11636,11656,11702,4157,11699,12036,12040,12707,12715,3998,11256,11262,11282,12281,12407,12488,3847,11400,11528,12514,12623,12633,12712,12767,4000,10986,11363,11534,11568,11579,12711,3703,3814,10902,10905,10998,11169,4800,11981,4801,10742,10855,11645,12576,12585,4430,11126,12594,12609,4336,4032,3976,4798,10575,10578,10944,10947,11855,4799,11961,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228,6239,6240,6271,6272,6276,6297,6300,6303,6324,6325,6353,6356,6364,6373,6375,6383,6387,6395,6396,6397,6398,6428,6445,6496,6533,6535,6556,6557,6564,6568,6569,6572,6586,6601,6622,6623,6626,6629,6638,6653,6674,6680,6682,6697,6698,6701,6702,6704,6706,6707,6708,6710,6712,6714,6720,6721,6723,6724,6730,6732,6774,6780,6796,6798,6799,6800,6833,6838,6840,6845,6846,6856,6860,6872,6895,6896,6898,6899,6910,6914,6917,6935,6938,6958,6987,6988,6989,6995,7009,7028,7030,7032,7034,7039,7045,7047,7061,7066,7067,7102,7103,7104,7118,7119,7121,7122,7140,7142,7157,7183,7207,7218,7220,7222,7224,7225,7256,7257,7261,7262,7269,7270,7272,7274,7296,7305,7306,7317,7327,7367,7377,7381,7388,7399,7404,7406,7413,7421,7434,7451,7472,7474,7493,7550,7551,7552,7554,7556,7560,7561,7566,7627,7656,7671,7687,7718,7721,7743,7765,7783,7786,7787,7797,7817,7819,7821,7823,7824,7825,7850,7876,7877,7908,7910,7911,7912,7917,7938,7955,7960,7966,7968,7976,7988,7989,7991,8012,8018,8039,8105,8106,8107,8154,8160,8161,8185,8186,8203,8204,8205,8262,8263,8292,8322,8331,8342,8355,8384,8388,8394,8406,8424,8429,8451,8497,8527,8541,8560,8563,8589,8615,8673,8674,8677,8678,8747,8781,8782,8783,8784,8811,8843,8872,8880,8881,8922,8943,8988,9004,9050,9053,9068,9075,9117,9160,9161,9179,9180,9194,9311,9317,9321,9341,9352,9375,9377,9380,9386,9388,9389,9399,9400,9419,9425,9435,9442,9484,9502,9557,9558,9564,9603,9626,9631])). % 209.50/209.73 cnf(12826,plain, % 209.50/209.73 (P106(f335(f335(f337(f933(x128261,x128261)),f335(f335(f260(x128261,x128261),x128262),x128262)),f335(f335(f297(x128261,x128261,x128261),f315(x128261,x128263)),f315(x128261,f315(x128261,x128263)))))), % 209.50/209.73 inference(scs_inference,[],[4215,12794,3786,11415,12470,12567,12570,12662,12704,12708,12716,3795,3803,3520,4748,4749,3418,3421,3422,4747,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,11967,12257,12285,12297,12326,12332,12424,12530,12697,3605,3754,12229,3470,4725,10723,10823,11295,3156,3157,3159,3160,3162,3163,3166,3167,3168,3171,3175,3177,3182,3184,3187,3188,3191,3193,3194,3203,3209,3218,3227,3242,3243,3248,3252,3299,3300,3302,3307,3311,3316,3318,3322,3338,4709,4118,11998,3392,11710,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,11993,12442,3481,12729,12733,12737,3487,3496,4010,4318,3616,3381,3748,4104,11756,3447,3378,3408,3868,3403,3390,3391,4023,3428,3606,11138,11265,12531,12748,3480,4189,4738,10553,10720,11606,12689,12730,4745,12701,3540,12078,4785,11321,11420,11665,11668,3653,4763,3444,3445,10623,10953,3707,3359,3466,11746,4332,12719,4191,11341,11476,11537,12673,12679,12805,12808,4803,11240,11489,11600,11626,11673,11679,12617,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,12573,12614,12700,3915,3695,4605,4606,4736,11739,3850,4067,4114,3732,3993,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,12253,12319,12395,12433,12508,12511,4003,11984,3533,3629,11815,3813,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,12168,12371,12374,12454,12620,4791,11858,11889,11924,11931,11964,3990,3755,3756,4139,3576,3578,3552,4775,4733,3941,3739,4792,4325,11623,3873,3589,12099,12102,12538,12642,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,12165,4294,4253,12246,12588,4200,11135,12427,12598,4248,11344,12467,12537,12597,12641,3916,11935,12256,12402,12475,12521,4282,3933,10686,10783,11347,11425,11510,11574,12423,12489,12753,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,12226,12284,12300,12303,12306,12309,12482,12496,12499,12502,12505,12581,12645,12764,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,12232,12243,12262,12267,12312,12335,3551,3625,12459,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,12209,12296,12315,12318,12331,12383,12386,12389,12392,12549,12552,12648,12651,12757,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,12061,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,12108,12377,12380,12414,12460,12485,12626,12670,12676,12776,12779,3610,10950,10980,10989,10992,10995,11592,12798,3649,3642,4071,4008,10602,11987,12015,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,12197,12453,3570,10983,11143,11213,12016,12158,12357,12557,4033,4373,4781,4045,4079,4766,4769,3526,3530,4768,4767,3863,4469,4797,10849,10852,4802,11330,11333,11525,11636,11656,11702,4157,11699,12036,12040,12707,12715,3998,11256,11262,11282,12281,12407,12488,3847,11400,11528,12514,12623,12633,12712,12767,4000,10986,11363,11534,11568,11579,12711,3703,3814,10902,10905,10998,11169,4800,11981,4801,10742,10855,11645,12576,12585,4430,11126,12594,12609,4336,4032,3976,4798,10575,10578,10944,10947,11855,4799,11961,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228,6239,6240,6271,6272,6276,6297,6300,6303,6324,6325,6353,6356,6364,6373,6375,6383,6387,6395,6396,6397,6398,6428,6445,6496,6533,6535,6556,6557,6564,6568,6569,6572,6586,6601,6622,6623,6626,6629,6638,6653,6674,6680,6682,6697,6698,6701,6702,6704,6706,6707,6708,6710,6712,6714,6720,6721,6723,6724,6730,6732,6774,6780,6796,6798,6799,6800,6833,6838,6840,6845,6846,6856,6860,6872,6895,6896,6898,6899,6910,6914,6917,6935,6938,6958,6987,6988,6989,6995,7009,7028,7030,7032,7034,7039,7045,7047,7061,7066,7067,7102,7103,7104,7118,7119,7121,7122,7140,7142,7157,7183,7207,7218,7220,7222,7224,7225,7256,7257,7261,7262,7269,7270,7272,7274,7296,7305,7306,7317,7327,7367,7377,7381,7388,7399,7404,7406,7413,7421,7434,7451,7472,7474,7493,7550,7551,7552,7554,7556,7560,7561,7566,7627,7656,7671,7687,7718,7721,7743,7765,7783,7786,7787,7797,7817,7819,7821,7823,7824,7825,7850,7876,7877,7908,7910,7911,7912,7917,7938,7955,7960,7966,7968,7976,7988,7989,7991,8012,8018,8039,8105,8106,8107,8154,8160,8161,8185,8186,8203,8204,8205,8262,8263,8292,8322,8331,8342,8355,8384,8388,8394,8406,8424,8429,8451,8497,8527,8541,8560,8563,8589,8615,8673,8674,8677,8678,8747,8781,8782,8783,8784,8811,8843,8872,8880,8881,8922,8943,8988,9004,9050,9053,9068,9075,9117,9160,9161,9179,9180,9194,9311,9317,9321,9341,9352,9375,9377,9380,9386,9388,9389,9399,9400,9419,9425,9435,9442,9484,9502,9557,9558,9564,9603,9626,9631,9670,9680])). % 209.50/209.73 cnf(12829,plain, % 209.50/209.73 (~P106(f335(f335(f195(f934(x128291,f934(x128292,a922))),x128293),x128294))), % 209.50/209.73 inference(rename_variables,[],[4801])). % 209.50/209.73 cnf(12832,plain, % 209.50/209.73 (~P106(f335(f335(f195(f934(x128321,f934(x128322,a922))),x128323),x128324))), % 209.50/209.73 inference(rename_variables,[],[4801])). % 209.50/209.73 cnf(12835,plain, % 209.50/209.73 (P106(f335(f335(f243(f934(x128351,a922)),x128352),f250(f934(x128351,a922))))), % 209.50/209.73 inference(rename_variables,[],[3933])). % 209.50/209.73 cnf(12838,plain, % 209.50/209.73 (P106(f335(f335(f337(f933(x128381,x128381)),f335(f335(f260(x128381,x128381),x128382),x128382)),f315(x128381,x128383)))), % 209.50/209.73 inference(rename_variables,[],[4191])). % 209.50/209.73 cnf(12841,plain, % 209.50/209.73 (~P106(f335(f335(f244(a927),f335(f335(f86(a927),x128411),x128412)),x128412))), % 209.50/209.73 inference(rename_variables,[],[4798])). % 209.50/209.73 cnf(12842,plain, % 209.50/209.73 (P106(f335(f335(f244(a927),x128421),f335(a119,x128421)))), % 209.50/209.73 inference(rename_variables,[],[3617])). % 209.50/209.73 cnf(12845,plain, % 209.50/209.73 (P106(f335(f335(f243(f934(x128451,a922)),x128452),f250(f934(x128451,a922))))), % 209.50/209.73 inference(rename_variables,[],[3933])). % 209.50/209.73 cnf(12848,plain, % 209.50/209.73 (E(f335(f292(x128481,x128481),f271(x128481,x128482)),x128482)), % 209.50/209.73 inference(rename_variables,[],[3510])). % 209.50/209.73 cnf(12858,plain, % 209.50/209.73 (~P106(f335(f335(f244(a927),x128581),f335(f196(f928(x128582)),f120(x128582))))), % 209.50/209.73 inference(scs_inference,[],[4215,12794,3786,11415,12470,12567,12570,12662,12704,12708,12716,3795,3803,3520,4748,4749,3418,3421,3422,4747,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,11967,12257,12285,12297,12326,12332,12424,12530,12697,3605,3754,12229,3470,4725,10723,10823,11295,3156,3157,3159,3160,3162,3163,3166,3167,3168,3171,3175,3177,3182,3184,3187,3188,3191,3193,3194,3203,3209,3218,3227,3242,3243,3248,3252,3299,3300,3302,3307,3311,3316,3318,3322,3338,4709,3888,4118,11998,3392,11710,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,11993,12442,12638,3481,12729,12733,12737,3487,3496,4010,4318,3616,3381,3748,4104,11756,3447,3378,3408,3868,3403,3390,3391,4023,3428,3606,11138,11265,12531,12748,3480,4189,4738,10553,10720,11606,12689,12730,4745,12701,3540,12078,4785,11321,11420,11665,11668,3653,4763,3444,3445,10623,10953,3707,3359,3466,11746,4332,12719,4191,11341,11476,11537,12673,12679,12805,12808,12838,4803,11240,11489,11600,11626,11673,11679,12617,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,12573,12614,12700,3915,3695,4605,4606,4736,11739,3850,4067,4114,3732,3993,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,12253,12319,12395,12433,12508,12511,4003,11984,3533,3629,11815,3813,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,12168,12371,12374,12454,12620,4791,11858,11889,11924,11931,11964,3990,3755,3756,4139,3576,3578,3552,4775,4733,3941,3739,4792,4325,11623,3873,3589,12099,12102,12538,12642,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,12165,4294,4253,12246,12588,4200,11135,12427,12598,4248,11344,12467,12537,12597,12641,3916,11935,12256,12402,12475,12521,4282,3933,10686,10783,11347,11425,11510,11574,12423,12489,12753,12815,12835,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,12226,12284,12300,12303,12306,12309,12482,12496,12499,12502,12505,12581,12645,12764,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,12232,12243,12262,12267,12312,12335,3551,3625,12459,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,12209,12296,12315,12318,12331,12383,12386,12389,12392,12549,12552,12648,12651,12757,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,12061,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,12108,12377,12380,12414,12460,12485,12626,12670,12676,12776,12779,12801,3610,10950,10980,10989,10992,10995,11592,12798,3649,3642,4071,4008,10602,11987,12015,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,12197,12453,3570,10983,11143,11213,12016,12158,12357,12557,4033,4373,4781,4045,4079,4766,4769,3526,3530,4768,4767,3863,4469,4797,10849,10852,4802,11330,11333,11525,11636,11656,11702,4157,11699,12036,12040,12707,12715,3998,11256,11262,11282,12281,12407,12488,3847,11400,11528,12514,12623,12633,12712,12767,4330,4000,10986,11363,11534,11568,11579,12711,3703,3814,10902,10905,10998,11169,4800,11981,4801,10742,10855,11645,12576,12585,12629,12829,4430,11126,12594,12609,4336,4032,3976,4798,10575,10578,10944,10947,11855,12041,4799,11961,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228,6239,6240,6271,6272,6276,6297,6300,6303,6324,6325,6353,6356,6364,6373,6375,6383,6387,6395,6396,6397,6398,6428,6445,6496,6533,6535,6556,6557,6564,6568,6569,6572,6586,6601,6622,6623,6626,6629,6638,6653,6674,6680,6682,6697,6698,6701,6702,6704,6706,6707,6708,6710,6712,6714,6720,6721,6723,6724,6730,6732,6774,6780,6796,6798,6799,6800,6833,6838,6840,6845,6846,6856,6860,6872,6895,6896,6898,6899,6910,6914,6917,6935,6938,6958,6987,6988,6989,6995,7009,7028,7030,7032,7034,7039,7045,7047,7061,7066,7067,7102,7103,7104,7118,7119,7121,7122,7140,7142,7157,7183,7207,7218,7220,7222,7224,7225,7256,7257,7261,7262,7269,7270,7272,7274,7296,7305,7306,7317,7327,7367,7377,7381,7388,7399,7404,7406,7413,7421,7434,7451,7472,7474,7493,7550,7551,7552,7554,7556,7560,7561,7566,7627,7656,7671,7687,7718,7721,7743,7765,7783,7786,7787,7797,7817,7819,7821,7823,7824,7825,7850,7876,7877,7908,7910,7911,7912,7917,7938,7955,7960,7966,7968,7976,7988,7989,7991,8012,8018,8039,8105,8106,8107,8154,8160,8161,8185,8186,8203,8204,8205,8262,8263,8292,8322,8331,8342,8355,8384,8388,8394,8406,8424,8429,8451,8497,8527,8541,8560,8563,8589,8615,8673,8674,8677,8678,8747,8781,8782,8783,8784,8811,8843,8872,8880,8881,8922,8943,8988,9004,9050,9053,9068,9075,9117,9160,9161,9179,9180,9194,9311,9317,9321,9341,9352,9375,9377,9380,9386,9388,9389,9399,9400,9419,9425,9435,9442,9484,9502,9557,9558,9564,9603,9626,9631,9670,9680,9683,9684,9686,9687,9699,9722,9737,9746,9747,9749,9751])). % 209.50/209.73 cnf(12859,plain, % 209.50/209.73 (~P106(f335(f335(f337(x128591),x128592),f195(f934(x128591,a922))))), % 209.50/209.73 inference(rename_variables,[],[4787])). % 209.50/209.73 cnf(12860,plain, % 209.50/209.73 (P106(f335(f335(f337(f933(f928(x128601),f928(x128601))),f335(f335(f260(f928(x128601),f928(x128601)),f120(x128601)),f120(x128601))),f165(x128601,x128602)))), % 209.50/209.73 inference(rename_variables,[],[4332])). % 209.50/209.73 cnf(12862,plain, % 209.50/209.73 (P106(f335(f335(f337(f933(a927,a927)),f335(f335(f260(a927,a927),f2(a927)),f335(a119,f2(a927)))),f335(f335(f297(a927,a927,a927),f315(a927,a325)),f315(a927,f315(a927,a325)))))), % 209.50/209.73 inference(scs_inference,[],[4215,12794,3786,11415,12470,12567,12570,12662,12704,12708,12716,3795,3803,3520,4748,4749,3418,3421,3422,4747,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,11967,12257,12285,12297,12326,12332,12424,12530,12697,3605,3754,12229,3470,4725,10723,10823,11295,3156,3157,3159,3160,3162,3163,3166,3167,3168,3171,3175,3177,3182,3184,3187,3188,3191,3193,3194,3203,3209,3218,3227,3242,3243,3248,3252,3299,3300,3302,3307,3311,3316,3318,3322,3338,4709,3888,4118,11998,3392,11710,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,11993,12442,12638,3481,12729,12733,12737,3487,3496,4010,4318,3616,3381,3748,4104,11756,3447,3378,3408,3868,3403,3390,3391,4023,3428,3606,11138,11265,12531,12748,3480,4189,4738,10553,10720,11606,12689,12730,4745,12701,3540,12078,4785,11321,11420,11665,11668,3653,4763,3444,3445,10623,10953,3707,3359,3466,11746,4332,12719,4191,11341,11476,11537,12673,12679,12805,12808,12838,4803,11240,11489,11600,11626,11673,11679,12617,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,12573,12614,12700,3915,3695,4605,4606,4736,11739,3850,4067,4114,3732,3993,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,12253,12319,12395,12433,12508,12511,4003,11984,3533,3629,11815,3813,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,12168,12371,12374,12454,12620,4791,11858,11889,11924,11931,11964,3990,3755,3756,4139,3576,3578,3552,4775,4733,3941,3739,4792,4325,11623,3873,3589,12099,12102,12538,12642,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,12165,4294,4253,12246,12588,4200,11135,12427,12598,4248,11344,12467,12537,12597,12641,3916,11935,12256,12402,12475,12521,4282,3933,10686,10783,11347,11425,11510,11574,12423,12489,12753,12815,12835,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,12226,12284,12300,12303,12306,12309,12482,12496,12499,12502,12505,12581,12645,12764,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,12232,12243,12262,12267,12312,12335,3551,3625,12459,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,12209,12296,12315,12318,12331,12383,12386,12389,12392,12549,12552,12648,12651,12757,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,12061,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,12108,12377,12380,12414,12460,12485,12626,12670,12676,12776,12779,12801,3610,10950,10980,10989,10992,10995,11592,12798,3649,3642,4071,4008,10602,11987,12015,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,12197,12453,3570,10983,11143,11213,12016,12158,12357,12557,4033,4373,4781,4045,4079,4766,4769,3526,3530,4768,4767,3863,4469,4797,10849,10852,4802,11330,11333,11525,11636,11656,11702,4157,11699,12036,12040,12707,12715,3998,11256,11262,11282,12281,12407,12488,3847,11400,11528,12514,12623,12633,12712,12767,4330,4000,10986,11363,11534,11568,11579,12711,3703,3814,10902,10905,10998,11169,4800,11981,4801,10742,10855,11645,12576,12585,12629,12829,4430,11126,12594,12609,4336,4032,3976,4798,10575,10578,10944,10947,11855,12041,4799,11961,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228,6239,6240,6271,6272,6276,6297,6300,6303,6324,6325,6353,6356,6364,6373,6375,6383,6387,6395,6396,6397,6398,6428,6445,6496,6533,6535,6556,6557,6564,6568,6569,6572,6586,6601,6622,6623,6626,6629,6638,6653,6674,6680,6682,6697,6698,6701,6702,6704,6706,6707,6708,6710,6712,6714,6720,6721,6723,6724,6730,6732,6774,6780,6796,6798,6799,6800,6833,6838,6840,6845,6846,6856,6860,6872,6895,6896,6898,6899,6910,6914,6917,6935,6938,6958,6987,6988,6989,6995,7009,7028,7030,7032,7034,7039,7045,7047,7061,7066,7067,7102,7103,7104,7118,7119,7121,7122,7140,7142,7157,7183,7207,7218,7220,7222,7224,7225,7256,7257,7261,7262,7269,7270,7272,7274,7296,7305,7306,7317,7327,7367,7377,7381,7388,7399,7404,7406,7413,7421,7434,7451,7472,7474,7493,7550,7551,7552,7554,7556,7560,7561,7566,7627,7656,7671,7687,7718,7721,7743,7765,7783,7786,7787,7797,7817,7819,7821,7823,7824,7825,7850,7876,7877,7908,7910,7911,7912,7917,7938,7955,7960,7966,7968,7976,7988,7989,7991,8012,8018,8039,8105,8106,8107,8154,8160,8161,8185,8186,8203,8204,8205,8262,8263,8292,8322,8331,8342,8355,8384,8388,8394,8406,8424,8429,8451,8497,8527,8541,8560,8563,8589,8615,8673,8674,8677,8678,8747,8781,8782,8783,8784,8811,8843,8872,8880,8881,8922,8943,8988,9004,9050,9053,9068,9075,9117,9160,9161,9179,9180,9194,9311,9317,9321,9341,9352,9375,9377,9380,9386,9388,9389,9399,9400,9419,9425,9435,9442,9484,9502,9557,9558,9564,9603,9626,9631,9670,9680,9683,9684,9686,9687,9699,9722,9737,9746,9747,9749,9751,9780])). % 209.50/209.73 cnf(12865,plain, % 209.50/209.73 (~P106(f335(f335(f337(x128651),x128652),f195(f934(x128651,a922))))), % 209.50/209.73 inference(rename_variables,[],[4787])). % 209.50/209.73 cnf(12870,plain, % 209.50/209.73 (P31(x128701,x128702,f120(x128701))), % 209.50/209.73 inference(rename_variables,[],[3486])). % 209.50/209.73 cnf(12873,plain, % 209.50/209.73 (E(f335(f196(f928(x128731)),f176(x128731,x128732,x128733)),x128732)), % 209.50/209.73 inference(rename_variables,[],[3616])). % 209.50/209.73 cnf(12876,plain, % 209.50/209.73 (~P106(f335(f335(f337(x128761),x128762),f195(f934(x128761,a922))))), % 209.50/209.73 inference(rename_variables,[],[4787])). % 209.50/209.73 cnf(12882,plain, % 209.50/209.73 (~P106(f335(f335(f244(a927),x128821),x128821))), % 209.50/209.73 inference(rename_variables,[],[4774])). % 209.50/209.73 cnf(12885,plain, % 209.50/209.73 (P106(f335(f335(f337(x128851),x128852),f250(f934(x128851,a922))))), % 209.50/209.73 inference(rename_variables,[],[3702])). % 209.50/209.73 cnf(12891,plain, % 209.50/209.73 (P106(f335(f335(f243(f934(x128911,a922)),x128912),x128912))), % 209.50/209.73 inference(rename_variables,[],[3847])). % 209.50/209.73 cnf(12894,plain, % 209.50/209.73 (~P106(f335(f335(f337(x128941),x128942),f195(f934(x128941,a922))))), % 209.50/209.73 inference(rename_variables,[],[4787])). % 209.50/209.73 cnf(12897,plain, % 209.50/209.73 (P106(f335(f335(f243(a1),f2(a1)),f335(f335(f252(a1),f335(f81(a1),x128971)),x128972)))), % 209.50/209.73 inference(rename_variables,[],[4032])). % 209.50/209.73 cnf(12900,plain, % 209.50/209.73 (~E(f335(a119,x129001),x129001)), % 209.50/209.73 inference(rename_variables,[],[4713])). % 209.50/209.73 cnf(12902,plain, % 209.50/209.73 (E(f335(f292(x129021,x129021),f271(x129021,x129022)),x129022)), % 209.50/209.73 inference(rename_variables,[],[3510])). % 209.50/209.73 cnf(12906,plain, % 209.50/209.73 (E(f195(f934(f933(x129061,x129061),a922)),f271(x129061,f195(f934(x129061,a922))))), % 209.50/209.73 inference(rename_variables,[],[3620])). % 209.50/209.73 cnf(12908,plain, % 209.50/209.73 (E(f195(f934(f933(x129081,x129081),a922)),f271(x129081,f195(f934(x129081,a922))))), % 209.50/209.73 inference(rename_variables,[],[3620])). % 209.50/209.73 cnf(12910,plain, % 209.50/209.73 (E(f335(f292(x129101,x129101),f271(x129101,x129102)),x129102)), % 209.50/209.73 inference(rename_variables,[],[3510])). % 209.50/209.73 cnf(12917,plain, % 209.50/209.73 (E(f335(f292(x129171,x129171),f271(x129171,x129172)),x129172)), % 209.50/209.73 inference(rename_variables,[],[3510])). % 209.50/209.73 cnf(12919,plain, % 209.50/209.73 (E(f335(f292(x129191,x129191),f271(x129191,x129192)),x129192)), % 209.50/209.73 inference(rename_variables,[],[3510])). % 209.50/209.73 cnf(12921,plain, % 209.50/209.73 (E(f335(f292(x129211,x129211),f271(x129211,x129212)),x129212)), % 209.50/209.73 inference(rename_variables,[],[3510])). % 209.50/209.73 cnf(12923,plain, % 209.50/209.73 (E(f335(f292(x129231,x129231),f271(x129231,x129232)),x129232)), % 209.50/209.73 inference(rename_variables,[],[3510])). % 209.50/209.73 cnf(12925,plain, % 209.50/209.73 (E(f335(f292(x129251,x129251),f271(x129251,x129252)),x129252)), % 209.50/209.73 inference(rename_variables,[],[3510])). % 209.50/209.73 cnf(12927,plain, % 209.50/209.73 (P37(x129271,f160(x129271,x129272))), % 209.50/209.73 inference(rename_variables,[],[3418])). % 209.50/209.73 cnf(12931,plain, % 209.50/209.73 (P52(x129311,f271(x129311,x129312))), % 209.50/209.73 inference(rename_variables,[],[3422])). % 209.50/209.73 cnf(12943,plain, % 209.50/209.73 (~E(f335(f337(f933(f928(x129431),f928(x129431))),f335(f335(f260(f928(x129431),f928(x129431)),f120(x129431)),f120(x129431))),f335(f179(x129432),f120(x129432)))), % 209.50/209.73 inference(scs_inference,[],[4215,12794,3786,11415,12470,12567,12570,12662,12704,12708,12716,3795,3803,3520,3486,12870,4748,4749,3418,12927,3421,3422,12744,4747,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,11967,12257,12285,12297,12326,12332,12424,12530,12697,12758,3605,3754,12229,3470,4725,10723,10823,11295,3156,3157,3159,3160,3162,3163,3166,3167,3168,3171,3175,3177,3182,3184,3187,3188,3191,3193,3194,3203,3209,3218,3227,3242,3243,3248,3252,3299,3300,3302,3307,3311,3316,3318,3322,4708,3338,3417,4709,3888,4118,11998,3392,11710,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,11993,12442,12638,12848,12902,12910,12917,12919,12921,12923,3481,12729,12733,12737,3487,3496,4010,4318,3616,12791,12873,3381,3748,4104,11756,3447,3378,3408,3868,3403,4671,3390,3391,4023,3428,3606,11138,11265,12531,12748,3480,4189,4738,10553,10720,11606,12689,12730,12734,4745,12701,3540,12078,4147,4785,11321,11420,11665,11668,3653,4763,3620,12906,3444,3445,10623,10953,3707,3359,3466,11746,4332,12719,12860,4191,11341,11476,11537,12673,12679,12805,12808,12838,4803,11240,11489,11600,11626,11673,11679,12617,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,12573,12614,12700,3915,3695,4605,4606,3767,4736,11739,3850,4067,4114,3732,3993,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,12253,12319,12395,12433,12508,12511,4003,11984,3533,3629,11815,3813,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,12168,12371,12374,12454,12620,4791,11858,11889,11924,11931,11964,3990,3755,3756,4139,3576,3578,3552,4775,4733,3941,3739,4792,4325,11623,3873,3589,12099,12102,12538,12642,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,12165,4294,4253,12246,12588,4200,11135,12427,12598,4248,11344,12467,12537,12597,12641,3916,11935,12256,12402,12475,12521,4282,3933,10686,10783,11347,11425,11510,11574,12423,12489,12753,12815,12835,12845,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,12226,12284,12300,12303,12306,12309,12482,12496,12499,12502,12505,12581,12645,12764,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,12232,12243,12262,12267,12312,12335,3551,3625,12459,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,12209,12296,12315,12318,12331,12383,12386,12389,12392,12549,12552,12648,12651,12757,12797,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,12061,12696,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,12108,12377,12380,12414,12460,12485,12626,12670,12676,12776,12779,12801,12859,12865,12876,3610,10950,10980,10989,10992,10995,11592,12798,3649,3642,4071,4008,10602,11987,12015,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,12197,12453,3570,10983,11143,11213,12016,12158,12357,12557,4033,4373,4781,4045,4079,4766,4769,3526,3530,4768,4767,3863,4469,11841,4797,10849,10852,4802,11330,11333,11525,11636,11656,11702,4157,11699,12036,12040,12707,12715,3998,11256,11262,11282,12281,12407,12488,3847,11400,11528,12514,12623,12633,12712,12767,12775,4330,4000,10986,11363,11534,11568,11579,12711,3703,3814,10902,10905,10998,11169,4800,11981,4801,10742,10855,11645,12576,12585,12629,12829,4430,11126,12594,12609,4336,4032,3976,4798,10575,10578,10944,10947,11855,12041,4799,11961,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590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% 209.50/209.73 cnf(12947,plain, % 209.50/209.73 (E(f335(f292(x129471,x129471),f271(x129471,x129472)),x129472)), % 209.50/209.73 inference(rename_variables,[],[3510])). % 209.50/209.73 cnf(12949,plain, % 209.50/209.73 (P25(x129491,x129491,f5(x129491),x129492)), % 209.50/209.73 inference(rename_variables,[],[3786])). % 209.50/209.73 cnf(12951,plain, % 209.50/209.73 (P25(x129511,x129511,f5(x129511),x129512)), % 209.50/209.73 inference(rename_variables,[],[3786])). % 209.50/209.73 cnf(12958,plain, % 209.50/209.73 (P56(x129581,f195(f934(x129581,a922)),x129582)), % 209.50/209.73 inference(rename_variables,[],[3568])). % 209.50/209.73 cnf(12962,plain, % 209.50/209.73 (P53(x129621,x129622,f271(x129621,x129622))), % 209.50/209.73 inference(rename_variables,[],[3519])). % 209.50/209.73 cnf(12964,plain, % 209.50/209.73 (P53(x129641,x129642,f271(x129641,x129642))), % 209.50/209.73 inference(rename_variables,[],[3519])). % 209.50/209.73 cnf(12966,plain, % 209.50/209.73 (P53(x129661,x129662,f271(x129661,x129662))), % 209.50/209.73 inference(rename_variables,[],[3519])). % 209.50/209.73 cnf(12968,plain, % 209.50/209.73 (P38(x129681,f271(x129681,x129682))), % 209.50/209.73 inference(rename_variables,[],[3419])). % 209.50/209.73 cnf(12984,plain, % 209.50/209.73 (E(f195(f934(f933(x129841,x129841),a922)),f271(x129841,f195(f934(x129841,a922))))), % 209.50/209.73 inference(rename_variables,[],[3620])). % 209.50/209.73 cnf(12990,plain, % 209.50/209.73 (P26(x129901,x129901,f25(x129901),x129902,x129902)), % 209.50/209.73 inference(rename_variables,[],[4215])). % 209.50/209.73 cnf(12992,plain, % 209.50/209.73 (P26(x129921,x129921,f25(x129921),x129922,x129922)), % 209.50/209.73 inference(rename_variables,[],[4215])). % 209.50/209.73 cnf(12994,plain, % 209.50/209.73 (P26(x129941,x129941,f25(x129941),x129942,x129942)), % 209.50/209.73 inference(rename_variables,[],[4215])). % 209.50/209.73 cnf(12999,plain, % 209.50/209.73 (E(f335(f292(x129991,x129991),f271(x129991,x129992)),x129992)), % 209.50/209.73 inference(rename_variables,[],[3510])). % 209.50/209.73 cnf(13001,plain, % 209.50/209.73 (E(f335(f292(x130011,x130011),f271(x130011,x130012)),x130012)), % 209.50/209.73 inference(rename_variables,[],[3510])). % 209.50/209.73 cnf(13003,plain, % 209.50/209.73 (P14(x130031,f934(x130031,a922),f317(x130031))), % 209.50/209.73 inference(rename_variables,[],[3523])). % 209.50/209.73 cnf(13010,plain, % 209.50/209.73 (P55(x130101,x130101,f271(x130101,x130102))), % 209.50/209.73 inference(rename_variables,[],[3520])). % 209.50/209.73 cnf(13016,plain, % 209.50/209.73 (P32(x130161,x130162,f120(x130161),f120(x130161))), % 209.50/209.73 inference(rename_variables,[],[3795])). % 209.50/209.73 cnf(13018,plain, % 209.50/209.73 (P32(x130181,x130182,f120(x130181),f120(x130181))), % 209.50/209.73 inference(rename_variables,[],[3795])). % 209.50/209.73 cnf(13022,plain, % 209.50/209.73 (P42(x130221,x130222,x130223,x130224,f195(f934(x130221,a922)),x130224)), % 209.50/209.73 inference(rename_variables,[],[4491])). % 209.50/209.73 cnf(13029,plain, % 209.50/209.73 (P24(x130291,x130292,f195(f934(f926(x130291),a922)))), % 209.50/209.73 inference(rename_variables,[],[3604])). % 209.50/209.73 cnf(13050,plain, % 209.50/209.73 (~P106(f335(f335(f244(a927),x130501),f2(a927)))), % 209.50/209.73 inference(rename_variables,[],[4778])). % 209.50/209.73 cnf(13059,plain, % 209.50/209.73 (~P106(f335(f335(f244(a1),f335(f107(a1),x130591)),f335(f85(a1),f335(f107(a1),x130592))))), % 209.50/209.73 inference(rename_variables,[],[4796])). % 209.50/209.73 cnf(13069,plain, % 209.50/209.73 (~P106(f335(f335(f244(a927),x130691),f2(a927)))), % 209.50/209.73 inference(rename_variables,[],[4778])). % 209.50/209.73 cnf(13072,plain, % 209.50/209.73 (~P106(f335(f335(f244(a927),x130721),f2(a927)))), % 209.50/209.73 inference(rename_variables,[],[4778])). % 209.50/209.73 cnf(13075,plain, % 209.50/209.73 (P106(f335(f66(a927),f313(a927,x130751,x130752)))), % 209.50/209.73 inference(rename_variables,[],[3756])). % 209.50/209.73 cnf(13078,plain, % 209.50/209.73 (P106(f335(f66(a927),f313(a927,x130781,x130782)))), % 209.50/209.73 inference(rename_variables,[],[3756])). % 209.50/209.73 cnf(13081,plain, % 209.50/209.73 (P106(f335(f66(a927),f313(a927,x130811,x130812)))), % 209.50/209.73 inference(rename_variables,[],[3756])). % 209.50/209.73 cnf(13084,plain, % 209.50/209.73 (P106(f335(f66(a927),f313(a927,x130841,x130842)))), % 209.50/209.73 inference(rename_variables,[],[3756])). % 209.50/209.73 cnf(13091,plain, % 209.50/209.73 (P106(f335(f335(f243(a1),f335(f85(a1),f335(f107(a1),x130911))),f335(f107(a1),x130912)))), % 209.50/209.73 inference(rename_variables,[],[4033])). % 209.50/209.73 cnf(13093,plain, % 209.50/209.73 (P106(f335(f335(f243(a1),f2(a1)),f335(f110(a1),f2(a1))))), % 209.50/209.73 inference(scs_inference,[],[4808,4215,12794,12816,12990,12992,3786,11415,12470,12567,12570,12662,12704,12708,12716,12788,12949,3795,12534,13016,13018,3803,3519,12962,12964,12966,3520,13010,3486,12870,4748,4749,12058,4491,13022,3523,13003,3356,3418,12927,3419,12968,3420,3421,3422,12744,12931,4747,3849,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,11967,12257,12285,12297,12326,12332,12424,12530,12697,12758,3605,3568,12958,3754,12229,3470,4725,10723,10823,11295,3156,3157,3159,3160,3162,3163,3166,3167,3168,3171,3175,3176,3177,3182,3184,3187,3188,3191,3193,3194,3203,3209,3218,3227,3242,3243,3248,3252,3299,3300,3302,3307,3311,3315,3316,3318,3322,4708,3338,3417,4709,3888,4118,11998,3392,11710,3531,3507,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,11993,12442,12638,12848,12902,12910,12917,12919,12921,12923,12925,12947,12999,3481,12729,12733,12737,3487,3496,4010,4318,3616,12791,12873,3381,3748,4104,11756,3604,13029,3447,3378,3408,3868,3403,3602,4224,4112,3931,4671,3390,3391,3362,3368,4023,3428,3606,11138,11265,12531,12748,3480,4189,4738,10553,10720,11606,12689,12730,12734,4745,12701,3540,12078,4147,4785,11321,11420,11665,11668,3950,3653,3874,4763,3620,12906,12908,12984,3444,3445,10623,10953,3707,3436,3359,3466,11746,4332,12719,12860,4191,11341,11476,11537,12673,12679,12805,12808,12838,4803,11240,11489,11600,11626,11673,11679,12617,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,12573,12614,12700,3915,3695,4605,4606,3767,4736,11739,3892,3850,4067,4114,3732,3993,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,12253,12319,12395,12433,12508,12511,4003,11984,3533,3629,11815,3813,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,12168,12371,12374,12454,12620,12723,13050,13069,4791,11858,11889,11924,11931,11964,3990,3755,3756,12274,13075,13078,13081,4139,3576,3578,3552,4775,4733,3941,4254,3739,4792,4325,11623,3873,3589,12099,12102,12538,12642,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,12165,4294,4253,12246,12588,4200,11135,12427,12598,4248,11344,12467,12537,12597,12641,3916,11935,12256,12402,12475,12521,4282,3933,10686,10783,11347,11425,11510,11574,12423,12489,12753,12815,12835,12845,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,12226,12284,12300,12303,12306,12309,12482,12496,12499,12502,12505,12581,12645,12764,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,12232,12243,12262,12267,12312,12335,3551,3625,12459,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,12209,12296,12315,12318,12331,12383,12386,12389,12392,12549,12552,12648,12651,12757,12797,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,12061,12696,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,12108,12377,12380,12414,12460,12485,12626,12670,12676,12776,12779,12801,12859,12865,12876,3610,10950,10980,10989,10992,10995,11592,12798,3649,3642,4071,4008,10602,11987,12015,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,12197,12453,3570,10983,11143,11213,12016,12158,12357,12557,4033,12105,4373,4781,4045,4079,4766,4769,4770,3526,3530,4768,4767,3863,4469,11841,4797,10849,10852,4802,11330,11333,11525,11636,11656,11702,4157,11699,12036,12040,12707,12715,3998,11256,11262,11282,12281,12407,12488,3847,11400,11528,12514,12623,12633,12712,12767,12775,4330,4000,10986,11363,11534,11568,11579,12711,3703,3814,10902,10905,10998,11169,3816,4800,11981,4796,13059,4801,10742,10855,11645,12576,12585,12629,12829,4430,11126,12594,12609,4336,4032,3976,3977,4798,10575,10578,10944,10947,11855,12041,4799,11961,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228,6239,6240,6271,6272,6276,6297,6300,6303,6324,6325,6353,6356,6364,6373,6375,6383,6387,6395,6396,6397,6398,6428,6445,6496,6533,6535,6556,6557,6564,6568,6569,6572,6586,6601,6622,6623,6626,6629,6638,6653,6674,6680,6682,6697,6698,6701,6702,6704,6706,6707,6708,6710,6712,6714,6720,6721,6723,6724,6730,6732,6774,6780,6796,6798,6799,6800,6833,6838,6840,6845,6846,6856,6860,6872,6895,6896,6898,6899,6910,6914,6917,6935,6938,6958,6987,6988,6989,6995,7009,7028,7030,7032,7034,7039,7045,7047,7061,7066,7067,7102,7103,7104,7118,7119,7121,7122,7140,7142,7157,7183,7207,7218,7220,7222,7224,7225,7256,7257,7261,7262,7269,7270,7272,7274,7296,7305,7306,7317,7327,7367,7377,7381,7388,7399,7404,7406,7413,7421,7434,7451,7472,7474,7493,7550,7551,7552,7554,7556,7560,7561,7566,7627,7656,7671,7687,7718,7721,7743,7765,7783,7786,7787,7797,7817,7819,7821,7823,7824,7825,7850,7876,7877,7908,7910,7911,7912,7917,7938,7955,7960,7966,7968,7976,7988,7989,7991,8012,8018,8039,8105,8106,8107,8154,8160,8161,8185,8186,8203,8204,8205,8262,8263,8292,8322,8331,8342,8355,8384,8388,8394,8406,8424,8429,8451,8497,8527,8541,8560,8563,8589,8615,8673,8674,8677,8678,8747,8781,8782,8783,8784,8811,8843,8872,8880,8881,8922,8943,8988,9004,9050,9053,9068,9075,9117,9160,9161,9179,9180,9194,9311,9317,9321,9341,9352,9375,9377,9380,9386,9388,9389,9399,9400,9419,9425,9435,9442,9484,9502,9557,9558,9564,9603,9626,9631,9670,9680,9683,9684,9686,9687,9699,9722,9737,9746,9747,9749,9751,9780,9901,9902,9952,9953,9992,10027,10139,10208,10279,10362,10381,10386,3,2879,2880,2881,2883,2884,2897,2899,2903,2904,2905,2908,2909,2913,2914,2915,2922,2923,2924,2925,2928,2929,2930,2933,2934,2935,2943,2944,2945,2946,2947,2948,2949,2950,2952,2953,2955,2956,2957,2959,2960,2961,2962,2964,2965,2968,2974,2975,2976,2977,2978,2993,2994,2996,2998,3010,3011,3012,3013,3014,3015,3016,3030,3032,3064,3067,3072,3073,3074,3075,3077,3078,3088,3091,3092,3093,3094,3095,3096,3103,3104,3118,3119,3140,5528,5567,5714,5715,5716,5797,5895,5925,5959,5975,5977,5983,6045,6046,6047,6048,6056,6091,6223,6260])). % 209.50/209.73 cnf(13096,plain, % 209.50/209.73 (~P106(f335(f335(f244(a927),x130961),f2(a927)))), % 209.50/209.73 inference(rename_variables,[],[4778])). % 209.50/209.73 cnf(13097,plain, % 209.50/209.73 (P106(f335(f335(f243(a927),x130971),x130971))), % 209.50/209.73 inference(rename_variables,[],[3549])). % 209.50/209.73 cnf(13104,plain, % 209.50/209.73 (P106(f335(f335(f244(a927),x131041),f335(a119,x131041)))), % 209.50/209.73 inference(rename_variables,[],[3617])). % 209.50/209.73 cnf(13106,plain, % 209.50/209.73 (P106(f335(f335(f243(a1),f2(a1)),a89))), % 209.50/209.73 inference(scs_inference,[],[4808,4215,12794,12816,12990,12992,3786,11415,12470,12567,12570,12662,12704,12708,12716,12788,12949,3795,12534,13016,13018,3803,3519,12962,12964,12966,3520,13010,3486,12870,4748,4749,12058,4491,13022,3523,13003,3356,3418,12927,3419,12968,3420,3421,3422,12744,12931,4747,3849,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,11967,12257,12285,12297,12326,12332,12424,12530,12697,12758,3605,3568,12958,3754,12229,3470,4725,10723,10823,11295,3156,3157,3159,3160,3162,3163,3166,3167,3168,3171,3175,3176,3177,3182,3184,3187,3188,3191,3193,3194,3203,3209,3218,3227,3242,3243,3248,3252,3299,3300,3302,3307,3311,3315,3316,3318,3322,4708,3338,3417,4709,3888,4118,11998,3392,11710,3531,3507,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,11993,12442,12638,12848,12902,12910,12917,12919,12921,12923,12925,12947,12999,3481,12729,12733,12737,3487,3496,4010,4318,3616,12791,12873,3381,3748,4104,11756,3604,13029,3447,3378,3408,3868,3403,3602,4224,4112,3931,4671,3390,3391,3362,3368,4023,3428,3606,11138,11265,12531,12748,3480,4189,4738,10553,10720,11606,12689,12730,12734,4745,12701,3540,12078,4147,4785,11321,11420,11665,11668,3950,3653,3874,4763,3620,12906,12908,12984,3444,3445,10623,10953,3707,3436,3359,3466,11746,4332,12719,12860,4191,11341,11476,11537,12673,12679,12805,12808,12838,4803,11240,11489,11600,11626,11673,11679,12617,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,12573,12614,12700,3915,3695,4605,4606,3767,4736,11739,3892,3850,3894,4067,4114,3732,3993,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,12253,12319,12395,12433,12508,12511,12842,4003,11984,3533,3629,11815,3813,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,12168,12371,12374,12454,12620,12723,13050,13069,13072,4791,11858,11889,11924,11931,11964,3990,3755,3756,12274,13075,13078,13081,4139,3576,3578,3552,4775,3443,4733,3941,4254,3739,4792,4325,11623,3873,3589,12099,12102,12538,12642,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,12165,4294,4253,12246,12588,4200,11135,12427,12598,4248,11344,12467,12537,12597,12641,3916,11935,12256,12402,12475,12521,4282,3933,10686,10783,11347,11425,11510,11574,12423,12489,12753,12815,12835,12845,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,12226,12284,12300,12303,12306,12309,12482,12496,12499,12502,12505,12581,12645,12764,12811,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,12232,12243,12262,12267,12312,12335,3551,3625,12459,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,12209,12296,12315,12318,12331,12383,12386,12389,12392,12549,12552,12648,12651,12757,12797,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,12061,12696,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,12108,12377,12380,12414,12460,12485,12626,12670,12676,12776,12779,12801,12859,12865,12876,3610,10950,10980,10989,10992,10995,11592,12798,3649,3642,4071,4008,10602,11987,12015,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,12197,12453,3570,10983,11143,11213,12016,12158,12357,12557,4033,12105,4373,3761,4781,4045,4079,4766,4769,4770,3526,3530,4768,4767,3863,4469,11841,4797,10849,10852,4802,11330,11333,11525,11636,11656,11702,4157,11699,12036,12040,12707,12715,3998,11256,11262,11282,12281,12407,12488,3847,11400,11528,12514,12623,12633,12712,12767,12775,4330,4000,10986,11363,11534,11568,11579,12711,3703,3814,10902,10905,10998,11169,3816,4800,11981,4796,13059,4801,10742,10855,11645,12576,12585,12629,12829,4430,11126,12594,12609,4336,4032,3976,3977,4798,10575,10578,10944,10947,11855,12041,4799,11961,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228,6239,6240,6271,6272,6276,6297,6300,6303,6324,6325,6353,6356,6364,6373,6375,6383,6387,6395,6396,6397,6398,6428,6445,6496,6533,6535,6556,6557,6564,6568,6569,6572,6586,6601,6622,6623,6626,6629,6638,6653,6674,6680,6682,6697,6698,6701,6702,6704,6706,6707,6708,6710,6712,6714,6720,6721,6723,6724,6730,6732,6774,6780,6796,6798,6799,6800,6833,6838,6840,6845,6846,6856,6860,6872,6895,6896,6898,6899,6910,6914,6917,6935,6938,6958,6987,6988,6989,6995,7009,7028,7030,7032,7034,7039,7045,7047,7061,7066,7067,7102,7103,7104,7118,7119,7121,7122,7140,7142,7157,7183,7207,7218,7220,7222,7224,7225,7256,7257,7261,7262,7269,7270,7272,7274,7296,7305,7306,7317,7327,7367,7377,7381,7388,7399,7404,7406,7413,7421,7434,7451,7472,7474,7493,7550,7551,7552,7554,7556,7560,7561,7566,7627,7656,7671,7687,7718,7721,7743,7765,7783,7786,7787,7797,7817,7819,7821,7823,7824,7825,7850,7876,7877,7908,7910,7911,7912,7917,7938,7955,7960,7966,7968,7976,7988,7989,7991,8012,8018,8039,8105,8106,8107,8154,8160,8161,8185,8186,8203,8204,8205,8262,8263,8292,8322,8331,8342,8355,8384,8388,8394,8406,8424,8429,8451,8497,8527,8541,8560,8563,8589,8615,8673,8674,8677,8678,8747,8781,8782,8783,8784,8811,8843,8872,8880,8881,8922,8943,8988,9004,9050,9053,9068,9075,9117,9160,9161,9179,9180,9194,9311,9317,9321,9341,9352,9375,9377,9380,9386,9388,9389,9399,9400,9419,9425,9435,9442,9484,9502,9557,9558,9564,9603,9626,9631,9670,9680,9683,9684,9686,9687,9699,9722,9737,9746,9747,9749,9751,9780,9901,9902,9952,9953,9992,10027,10139,10208,10279,10362,10381,10386,3,2879,2880,2881,2883,2884,2897,2899,2903,2904,2905,2908,2909,2913,2914,2915,2922,2923,2924,2925,2928,2929,2930,2933,2934,2935,2943,2944,2945,2946,2947,2948,2949,2950,2952,2953,2955,2956,2957,2959,2960,2961,2962,2964,2965,2968,2974,2975,2976,2977,2978,2993,2994,2996,2998,3010,3011,3012,3013,3014,3015,3016,3030,3032,3064,3067,3072,3073,3074,3075,3077,3078,3088,3091,3092,3093,3094,3095,3096,3103,3104,3118,3119,3140,5528,5567,5714,5715,5716,5797,5895,5925,5959,5975,5977,5983,6045,6046,6047,6048,6056,6091,6223,6260,6270,6294,6328,6365])). % 209.50/209.73 cnf(13108,plain, % 209.50/209.73 (~P106(f335(f335(f244(a1),f2(a1)),f335(f110(a1),f2(a1))))), % 209.50/209.73 inference(scs_inference,[],[4808,4215,12794,12816,12990,12992,3786,11415,12470,12567,12570,12662,12704,12708,12716,12788,12949,3795,12534,13016,13018,3803,3519,12962,12964,12966,3520,13010,3486,12870,4748,4749,12058,4491,13022,3523,13003,3356,3418,12927,3419,12968,3420,3421,3422,12744,12931,4747,3849,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,11967,12257,12285,12297,12326,12332,12424,12530,12697,12758,3605,3568,12958,3754,12229,3470,4725,10723,10823,11295,3156,3157,3159,3160,3162,3163,3166,3167,3168,3171,3175,3176,3177,3182,3184,3187,3188,3191,3193,3194,3203,3209,3218,3227,3242,3243,3248,3252,3299,3300,3302,3307,3311,3315,3316,3318,3322,4708,3338,3417,4709,3888,4118,11998,3392,11710,3531,3507,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,11993,12442,12638,12848,12902,12910,12917,12919,12921,12923,12925,12947,12999,3481,12729,12733,12737,3487,3496,4010,4318,3616,12791,12873,3381,3748,4104,11756,3604,13029,3447,3378,3408,3868,3403,3602,4224,4112,3931,4671,3390,3391,3362,3368,4023,3428,3606,11138,11265,12531,12748,3480,4189,4738,10553,10720,11606,12689,12730,12734,4745,12701,3540,12078,4147,4785,11321,11420,11665,11668,3950,3653,3874,4763,3620,12906,12908,12984,3444,3445,10623,10953,3707,3436,3359,3466,11746,4332,12719,12860,4191,11341,11476,11537,12673,12679,12805,12808,12838,4803,11240,11489,11600,11626,11673,11679,12617,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,12573,12614,12700,3915,3695,4605,4606,3767,4736,11739,3892,3850,3894,4067,4114,3732,3993,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,12253,12319,12395,12433,12508,12511,12842,4003,11984,3533,3629,11815,3813,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,12168,12371,12374,12454,12620,12723,13050,13069,13072,4791,11858,11889,11924,11931,11964,3990,3755,3756,12274,13075,13078,13081,4139,3576,3578,3552,4775,3443,4733,3941,4254,3739,4792,4325,11623,3873,3589,12099,12102,12538,12642,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,12165,4294,4253,12246,12588,4200,11135,12427,12598,4248,11344,12467,12537,12597,12641,3916,11935,12256,12402,12475,12521,4282,3933,10686,10783,11347,11425,11510,11574,12423,12489,12753,12815,12835,12845,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,12226,12284,12300,12303,12306,12309,12482,12496,12499,12502,12505,12581,12645,12764,12811,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,12232,12243,12262,12267,12312,12335,3551,3625,12459,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,12209,12296,12315,12318,12331,12383,12386,12389,12392,12549,12552,12648,12651,12757,12797,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,12061,12696,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,12108,12377,12380,12414,12460,12485,12626,12670,12676,12776,12779,12801,12859,12865,12876,3610,10950,10980,10989,10992,10995,11592,12798,3649,3642,4071,4008,10602,11987,12015,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,12197,12453,3570,10983,11143,11213,12016,12158,12357,12557,4033,12105,4373,3761,4781,4045,4079,4766,4769,4770,3526,3530,4768,4767,3863,4469,11841,4797,10849,10852,4802,11330,11333,11525,11636,11656,11702,4157,11699,12036,12040,12707,12715,3998,11256,11262,11282,12281,12407,12488,3847,11400,11528,12514,12623,12633,12712,12767,12775,4330,4000,10986,11363,11534,11568,11579,12711,3703,3814,10902,10905,10998,11169,3816,4800,11981,4796,13059,4801,10742,10855,11645,12576,12585,12629,12829,4430,11126,12594,12609,4336,4032,3976,3977,4798,10575,10578,10944,10947,11855,12041,4799,11961,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228,6239,6240,6271,6272,6276,6297,6300,6303,6324,6325,6353,6356,6364,6373,6375,6383,6387,6395,6396,6397,6398,6428,6445,6496,6533,6535,6556,6557,6564,6568,6569,6572,6586,6601,6622,6623,6626,6629,6638,6653,6674,6680,6682,6697,6698,6701,6702,6704,6706,6707,6708,6710,6712,6714,6720,6721,6723,6724,6730,6732,6774,6780,6796,6798,6799,6800,6833,6838,6840,6845,6846,6856,6860,6872,6895,6896,6898,6899,6910,6914,6917,6935,6938,6958,6987,6988,6989,6995,7009,7028,7030,7032,7034,7039,7045,7047,7061,7066,7067,7102,7103,7104,7118,7119,7121,7122,7140,7142,7157,7183,7207,7218,7220,7222,7224,7225,7256,7257,7261,7262,7269,7270,7272,7274,7296,7305,7306,7317,7327,7367,7377,7381,7388,7399,7404,7406,7413,7421,7434,7451,7472,7474,7493,7550,7551,7552,7554,7556,7560,7561,7566,7627,7656,7671,7687,7718,7721,7743,7765,7783,7786,7787,7797,7817,7819,7821,7823,7824,7825,7850,7876,7877,7908,7910,7911,7912,7917,7938,7955,7960,7966,7968,7976,7988,7989,7991,8012,8018,8039,8105,8106,8107,8154,8160,8161,8185,8186,8203,8204,8205,8262,8263,8292,8322,8331,8342,8355,8384,8388,8394,8406,8424,8429,8451,8497,8527,8541,8560,8563,8589,8615,8673,8674,8677,8678,8747,8781,8782,8783,8784,8811,8843,8872,8880,8881,8922,8943,8988,9004,9050,9053,9068,9075,9117,9160,9161,9179,9180,9194,9311,9317,9321,9341,9352,9375,9377,9380,9386,9388,9389,9399,9400,9419,9425,9435,9442,9484,9502,9557,9558,9564,9603,9626,9631,9670,9680,9683,9684,9686,9687,9699,9722,9737,9746,9747,9749,9751,9780,9901,9902,9952,9953,9992,10027,10139,10208,10279,10362,10381,10386,3,2879,2880,2881,2883,2884,2897,2899,2903,2904,2905,2908,2909,2913,2914,2915,2922,2923,2924,2925,2928,2929,2930,2933,2934,2935,2943,2944,2945,2946,2947,2948,2949,2950,2952,2953,2955,2956,2957,2959,2960,2961,2962,2964,2965,2968,2974,2975,2976,2977,2978,2993,2994,2996,2998,3010,3011,3012,3013,3014,3015,3016,3030,3032,3064,3067,3072,3073,3074,3075,3077,3078,3088,3091,3092,3093,3094,3095,3096,3103,3104,3118,3119,3140,5528,5567,5714,5715,5716,5797,5895,5925,5959,5975,5977,5983,6045,6046,6047,6048,6056,6091,6223,6260,6270,6294,6328,6365,6512])). % 209.50/209.73 cnf(13111,plain, % 209.50/209.73 (P106(f335(f335(f243(a1),x131111),x131111))), % 209.50/209.73 inference(rename_variables,[],[3550])). % 209.50/209.73 cnf(13114,plain, % 209.50/209.73 (P106(f335(f66(a927),f313(a927,x131141,x131142)))), % 209.50/209.73 inference(rename_variables,[],[3756])). % 209.50/209.73 cnf(13117,plain, % 209.50/209.73 (P106(f335(f66(a927),f313(a927,x131171,x131172)))), % 209.50/209.73 inference(rename_variables,[],[3756])). % 209.50/209.73 cnf(13120,plain, % 209.50/209.73 (P106(f335(f335(f243(a927),x131201),x131201))), % 209.50/209.73 inference(rename_variables,[],[3549])). % 209.50/209.73 cnf(13121,plain, % 209.50/209.73 (~E(f335(a119,x131211),f2(a927))), % 209.50/209.73 inference(rename_variables,[],[4725])). % 209.50/209.73 cnf(13138,plain, % 209.50/209.73 (P106(f335(f335(f243(a927),f50(a927,x131381,x131382)),x131381))), % 209.50/209.73 inference(rename_variables,[],[4008])). % 209.50/209.73 cnf(13143,plain, % 209.50/209.73 (P106(f335(f335(f244(a927),x131431),f335(a119,x131431)))), % 209.50/209.73 inference(rename_variables,[],[3617])). % 209.50/209.73 cnf(13146,plain, % 209.50/209.73 (P106(f335(f335(f244(a927),x131461),f335(a119,x131461)))), % 209.50/209.73 inference(rename_variables,[],[3617])). % 209.50/209.73 cnf(13147,plain, % 209.50/209.73 (~P106(f335(f335(f244(a927),x131471),f2(a927)))), % 209.50/209.73 inference(rename_variables,[],[4778])). % 209.50/209.73 cnf(13156,plain, % 209.50/209.73 (~P106(f335(f335(f244(a1),f335(f107(a1),x131561)),f2(a1)))), % 209.50/209.73 inference(rename_variables,[],[4791])). % 209.50/209.73 cnf(13157,plain, % 209.50/209.73 (P106(f335(f250(f934(x131571,a922)),x131572))), % 209.50/209.73 inference(rename_variables,[],[3610])). % 209.50/209.73 cnf(13160,plain, % 209.50/209.73 (~P106(f335(f335(f244(a1),f335(f107(a1),x131601)),f2(a1)))), % 209.50/209.73 inference(rename_variables,[],[4791])). % 209.50/209.73 cnf(13161,plain, % 209.50/209.73 (P106(f335(f250(f934(x131611,a922)),x131612))), % 209.50/209.73 inference(rename_variables,[],[3610])). % 209.50/209.73 cnf(13164,plain, % 209.50/209.73 (P106(f335(f250(f934(x131641,a922)),x131642))), % 209.50/209.73 inference(rename_variables,[],[3610])). % 209.50/209.73 cnf(13175,plain, % 209.50/209.73 (~P106(f335(f335(f337(x131751),x131752),f195(f934(x131751,a922))))), % 209.50/209.73 inference(rename_variables,[],[4787])). % 209.50/209.73 cnf(13176,plain, % 209.50/209.73 (P106(f335(f66(x131761),f195(f934(x131761,a922))))), % 209.50/209.73 inference(rename_variables,[],[3625])). % 209.50/209.73 cnf(13178,plain, % 209.50/209.73 (~P106(f335(f335(f243(a1),f335(f110(a1),a89)),f335(f110(a1),a104)))), % 209.50/209.73 inference(scs_inference,[],[4808,4215,12794,12816,12990,12992,3786,11415,12470,12567,12570,12662,12704,12708,12716,12788,12949,3795,12534,13016,13018,3803,3519,12962,12964,12966,3520,13010,3486,12870,4748,4749,12058,4491,13022,3523,13003,3356,3418,12927,3419,12968,3420,3421,3422,12744,12931,4747,3849,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,11967,12257,12285,12297,12326,12332,12424,12530,12697,12758,3605,3568,12958,3754,12229,3470,4725,10723,10823,11295,11395,3156,3157,3159,3160,3162,3163,3166,3167,3168,3171,3175,3176,3177,3178,3182,3184,3187,3188,3191,3193,3194,3203,3209,3218,3227,3242,3243,3248,3252,3299,3300,3302,3307,3311,3315,3316,3318,3322,4708,3338,3417,4709,3888,4118,11998,3392,11710,3531,3507,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,11993,12442,12638,12848,12902,12910,12917,12919,12921,12923,12925,12947,12999,3481,12729,12733,12737,3487,3496,4010,4318,3616,12791,12873,3381,3748,4104,11756,3604,13029,3447,3378,3408,3868,3403,3602,4224,4112,3931,4671,3390,3391,3362,3368,4023,3428,3606,11138,11265,12531,12748,3480,4189,4738,10553,10720,11606,12689,12730,12734,4745,12701,3540,12078,4147,4785,11321,11420,11665,11668,3950,3653,3874,4763,3620,12906,12908,12984,3444,3445,10623,10953,3707,3436,3359,3466,11746,4332,12719,12860,4191,11341,11476,11537,12673,12679,12805,12808,12838,4803,11240,11489,11600,11626,11673,11679,12617,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,12573,12614,12700,3915,3695,4605,4606,3767,4736,11739,3892,3850,3894,4067,4114,3732,3993,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,12253,12319,12395,12433,12508,12511,12842,13104,13143,4003,11984,3533,3629,11815,3813,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,12168,12371,12374,12454,12620,12723,13050,13069,13072,13096,4791,11858,11889,11924,11931,11964,13156,3990,3755,3756,12274,13075,13078,13081,13084,13114,4139,3576,3578,3552,4775,3443,4733,3941,4254,3739,4792,4325,11623,3873,3589,12099,12102,12538,12642,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,12165,4294,4253,12246,12588,4200,11135,12427,12598,4248,11344,12467,12537,12597,12641,3916,11935,12256,12402,12475,12521,4282,3933,10686,10783,11347,11425,11510,11574,12423,12489,12753,12815,12835,12845,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,12226,12284,12300,12303,12306,12309,12482,12496,12499,12502,12505,12581,12645,12764,12811,13097,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,12232,12243,12262,12267,12312,12335,12352,3551,3625,12459,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,12209,12296,12315,12318,12331,12383,12386,12389,12392,12549,12552,12648,12651,12757,12797,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,12061,12696,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,12108,12377,12380,12414,12460,12485,12626,12670,12676,12776,12779,12801,12859,12865,12876,12894,3610,10950,10980,10989,10992,10995,11592,12798,12812,13157,13161,13164,3649,3642,4071,4008,10602,11987,12015,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,12197,12453,3570,10983,11143,11213,12016,12158,12357,12557,4033,12105,4373,3761,4781,4045,4079,4766,4769,4770,3526,3530,4768,4767,3863,4469,11841,4797,10849,10852,4802,11330,11333,11525,11636,11656,11702,4157,11699,12036,12040,12707,12715,3998,11256,11262,11282,12281,12407,12488,3847,11400,11528,12514,12623,12633,12712,12767,12775,4330,4000,10986,11363,11534,11568,11579,12711,3703,3814,10902,10905,10998,11169,3816,4800,11981,4796,13059,4801,10742,10855,11645,12576,12585,12629,12829,4430,11126,12594,12609,4336,4032,12897,3976,3977,4798,10575,10578,10944,10947,11855,12041,4799,11961,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,648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% 209.50/209.73 cnf(13185,plain, % 209.50/209.73 (P106(f335(f335(f243(a927),f2(a927)),x131851))), % 209.50/209.73 inference(rename_variables,[],[3570])). % 209.50/209.73 cnf(13188,plain, % 209.50/209.73 (~P106(f335(f335(f337(x131881),x131882),f195(f934(x131881,a922))))), % 209.50/209.73 inference(rename_variables,[],[4787])). % 209.50/209.73 cnf(13191,plain, % 209.50/209.73 (~P106(f335(f335(f337(x131911),x131912),f195(f934(x131911,a922))))), % 209.50/209.73 inference(rename_variables,[],[4787])). % 209.50/209.73 cnf(13193,plain, % 209.50/209.73 (P106(f335(f335(f295(a927),x131931),f50(a927,x131931,x131931)))), % 209.50/209.73 inference(scs_inference,[],[4808,4215,12794,12816,12990,12992,3786,11415,12470,12567,12570,12662,12704,12708,12716,12788,12949,3795,12534,13016,13018,3803,3519,12962,12964,12966,3520,13010,3486,12870,4748,4749,12058,4491,13022,3523,13003,3356,3418,12927,3419,12968,3420,3421,3422,12744,12931,4747,3849,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,11967,12257,12285,12297,12326,12332,12424,12530,12697,12758,3605,3568,12958,3754,12229,3470,4725,10723,10823,11295,11395,3156,3157,3159,3160,3162,3163,3166,3167,3168,3171,3175,3176,3177,3178,3182,3184,3187,3188,3191,3193,3194,3203,3209,3218,3227,3242,3243,3248,3252,3299,3300,3302,3307,3311,3315,3316,3318,3322,4708,3338,3417,4709,3888,4118,11998,3392,11710,3531,3507,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,11993,12442,12638,12848,12902,12910,12917,12919,12921,12923,12925,12947,12999,3481,12729,12733,12737,3487,3496,4010,4318,3616,12791,12873,3381,3748,4104,11756,3604,13029,3447,3378,3408,3868,3403,3602,4224,4112,3931,4671,3390,3391,3362,3368,4023,3428,3606,11138,11265,12531,12748,3480,4189,4738,10553,10720,11606,12689,12730,12734,4745,12701,3540,12078,4147,4785,11321,11420,11665,11668,3950,3653,3874,4763,3620,12906,12908,12984,3444,3445,10623,10953,3707,3436,3359,3466,11746,4332,12719,12860,4191,11341,11476,11537,12673,12679,12805,12808,12838,4803,11240,11489,11600,11626,11673,11679,12617,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,12573,12614,12700,3915,3695,4605,4606,3767,4736,11739,3892,3850,3894,4067,4114,12564,3732,3993,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,12253,12319,12395,12433,12508,12511,12842,13104,13143,4003,11984,3533,3629,11815,3813,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,12168,12371,12374,12454,12620,12723,13050,13069,13072,13096,4791,11858,11889,11924,11931,11964,13156,13160,3990,3755,3756,12274,13075,13078,13081,13084,13114,4139,3576,3578,3552,4775,3443,4733,3941,4254,3739,4792,4325,11623,3873,3589,12099,12102,12538,12642,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,12165,4294,4253,12246,12588,4200,11135,12427,12598,4248,11344,12467,12537,12597,12641,3916,11935,12256,12402,12475,12521,4282,3933,10686,10783,11347,11425,11510,11574,12423,12489,12753,12815,12835,12845,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,12226,12284,12300,12303,12306,12309,12482,12496,12499,12502,12505,12581,12645,12764,12811,13097,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,12232,12243,12262,12267,12312,12335,12352,3551,3625,12459,13176,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,12209,12296,12315,12318,12331,12383,12386,12389,12392,12549,12552,12648,12651,12757,12797,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,12061,12696,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,12108,12377,12380,12414,12460,12485,12626,12670,12676,12776,12779,12801,12859,12865,12876,12894,13175,13188,3610,10950,10980,10989,10992,10995,11592,12798,12812,13157,13161,13164,3649,3642,4071,4008,10602,11987,12015,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,12197,12453,3570,10983,11143,11213,12016,12158,12357,12557,12582,4033,12105,4373,3761,4781,4045,4079,4766,4769,4770,3526,3530,4768,4767,3863,4469,11841,4797,10849,10852,4802,11330,11333,11525,11636,11656,11702,4157,11699,12036,12040,12707,12715,3998,11256,11262,11282,12281,12407,12488,3847,11400,11528,12514,12623,12633,12712,12767,12775,4330,4000,10986,11363,11534,11568,11579,12711,3703,3814,10902,10905,10998,11169,3816,4800,11981,4796,13059,4801,10742,10855,11645,12576,12585,12629,12829,4430,11126,12594,12609,4336,4032,12897,3976,3977,4798,10575,10578,10944,10947,11855,12041,4799,11961,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,64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% 209.50/209.73 cnf(13196,plain, % 209.50/209.73 (P106(f335(f335(f243(a927),x131961),x131961))), % 209.50/209.73 inference(rename_variables,[],[3549])). % 209.50/209.73 cnf(13204,plain, % 209.50/209.73 (P106(f335(f335(f244(a927),x132041),f335(a119,x132041)))), % 209.50/209.73 inference(rename_variables,[],[3617])). % 209.50/209.73 cnf(13207,plain, % 209.50/209.73 (P106(f335(f335(f243(a927),x132071),x132071))), % 209.50/209.73 inference(rename_variables,[],[3549])). % 209.50/209.73 cnf(13212,plain, % 209.50/209.73 (P106(f335(f335(f243(a927),x132121),x132121))), % 209.50/209.73 inference(rename_variables,[],[3549])). % 209.50/209.73 cnf(13215,plain, % 209.50/209.73 (P106(f335(f335(f243(a927),x132151),x132151))), % 209.50/209.73 inference(rename_variables,[],[3549])). % 209.50/209.73 cnf(13218,plain, % 209.50/209.73 (P106(f335(f335(f243(a927),x132181),x132181))), % 209.50/209.73 inference(rename_variables,[],[3549])). % 209.50/209.73 cnf(13221,plain, % 209.50/209.73 (E(f335(f335(f23(f934(x132211,a922)),f195(f934(x132211,a922))),x132212),f195(f934(x132211,a922)))), % 209.50/209.73 inference(rename_variables,[],[3818])). % 209.50/209.73 cnf(13222,plain, % 209.50/209.73 (P106(f335(f66(x132221),f195(f934(x132221,a922))))), % 209.50/209.73 inference(rename_variables,[],[3625])). % 209.50/209.73 cnf(13225,plain, % 209.50/209.73 (E(f335(f335(f23(f934(x132251,a922)),f195(f934(x132251,a922))),x132252),f195(f934(x132251,a922)))), % 209.50/209.73 inference(rename_variables,[],[3818])). % 209.50/209.73 cnf(13226,plain, % 209.50/209.73 (P106(f335(f66(x132261),f195(f934(x132261,a922))))), % 209.50/209.73 inference(rename_variables,[],[3625])). % 209.50/209.73 cnf(13229,plain, % 209.50/209.73 (E(f335(f335(f23(f934(x132291,a922)),f195(f934(x132291,a922))),x132292),f195(f934(x132291,a922)))), % 209.50/209.73 inference(rename_variables,[],[3818])). % 209.50/209.73 cnf(13230,plain, % 209.50/209.73 (P106(f335(f66(x132301),f195(f934(x132301,a922))))), % 209.50/209.73 inference(rename_variables,[],[3625])). % 209.50/209.73 cnf(13233,plain, % 209.50/209.73 (E(f335(f335(f23(f934(x132331,a922)),f195(f934(x132331,a922))),x132332),f195(f934(x132331,a922)))), % 209.50/209.73 inference(rename_variables,[],[3818])). % 209.50/209.73 cnf(13234,plain, % 209.50/209.73 (P106(f335(f66(x132341),f195(f934(x132341,a922))))), % 209.50/209.73 inference(rename_variables,[],[3625])). % 209.50/209.73 cnf(13238,plain, % 209.50/209.73 (E(f335(f292(x132381,x132381),f271(x132381,x132382)),x132382)), % 209.50/209.73 inference(rename_variables,[],[3510])). % 209.50/209.73 cnf(13243,plain, % 209.50/209.73 (E(f335(f335(f23(f934(x132431,a922)),f195(f934(x132431,a922))),x132432),f195(f934(x132431,a922)))), % 209.50/209.73 inference(rename_variables,[],[3818])). % 209.50/209.73 cnf(13244,plain, % 209.50/209.73 (P106(f335(f66(x132441),f195(f934(x132441,a922))))), % 209.50/209.73 inference(rename_variables,[],[3625])). % 209.50/209.73 cnf(13248,plain, % 209.50/209.73 (P106(f335(f66(x132481),f195(f934(x132481,a922))))), % 209.50/209.73 inference(rename_variables,[],[3625])). % 209.50/209.73 cnf(13251,plain, % 209.50/209.73 (P106(f335(f335(f243(a927),x132511),x132511))), % 209.50/209.73 inference(rename_variables,[],[3549])). % 209.50/209.73 cnf(13255,plain, % 209.50/209.73 (P106(f335(f335(f243(a1),x132551),x132551))), % 209.50/209.73 inference(rename_variables,[],[3550])). % 209.50/209.73 cnf(13262,plain, % 209.50/209.73 (P106(f335(f335(f243(a927),x132621),x132621))), % 209.50/209.73 inference(rename_variables,[],[3549])). % 209.50/209.73 cnf(13275,plain, % 209.50/209.73 (P106(f335(f335(f243(a1),x132751),x132751))), % 209.50/209.73 inference(rename_variables,[],[3550])). % 209.50/209.73 cnf(13284,plain, % 209.50/209.73 (~P106(f335(f335(f337(x132841),x132842),f195(f934(x132841,a922))))), % 209.50/209.73 inference(rename_variables,[],[4787])). % 209.50/209.73 cnf(13286,plain, % 209.50/209.73 (~P106(f335(f335(f243(a927),f335(f335(f86(a927),f335(a119,x132861)),x132862)),x132862))), % 209.50/209.74 inference(scs_inference,[],[4808,4215,12794,12816,12990,12992,3786,11415,12470,12567,12570,12662,12704,12708,12716,12788,12949,3795,12534,13016,13018,3803,3519,12962,12964,12966,3520,13010,3486,12870,4748,4749,12058,4491,13022,3523,13003,3356,3418,12927,3419,12968,3420,3421,3422,12744,12931,4747,3849,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,11967,12257,12285,12297,12326,12332,12424,12530,12697,12758,3605,3568,12958,3754,12229,3470,4725,10723,10823,11295,11395,3156,3157,3159,3160,3162,3163,3166,3167,3168,3171,3175,3176,3177,3178,3182,3183,3184,3187,3188,3191,3193,3194,3203,3209,3218,3227,3233,3242,3243,3248,3252,3268,3272,3280,3283,3299,3300,3302,3307,3311,3312,3315,3316,3317,3318,3322,4708,3338,3417,4709,3888,4118,11998,3392,11710,3531,3507,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,11993,12442,12638,12848,12902,12910,12917,12919,12921,12923,12925,12947,12999,13001,3481,12729,12733,12737,3487,3496,4010,4318,3616,12791,12873,3381,3748,4104,11756,3604,13029,3447,3378,3408,3868,3403,3602,4224,4112,3931,4671,3390,3391,3362,3368,4023,3428,3606,11138,11265,12531,12748,3480,4189,4738,10553,10720,11606,12689,12730,12734,4745,12701,3540,12078,4147,4785,11321,11420,11665,11668,3950,3653,3874,4763,3620,12906,12908,12984,3444,3445,10623,10953,3707,3436,3359,3466,11746,4332,12719,12860,4191,11341,11476,11537,12673,12679,12805,12808,12838,4803,11240,11489,11600,11626,11673,11679,12617,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,12573,12614,12700,3915,3695,4605,4606,3767,4736,11739,3892,3850,3894,4067,3818,13221,13225,13229,13233,13243,4114,12564,3732,3993,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,12253,12319,12395,12433,12508,12511,12842,13104,13143,13146,13204,4003,11984,3533,3629,11815,3813,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,12168,12371,12374,12454,12620,12723,13050,13069,13072,13096,4791,11858,11889,11924,11931,11964,13156,13160,3990,3755,3756,12274,13075,13078,13081,13084,13114,4139,3576,3578,3552,4775,3443,4733,3941,4254,3739,4792,4325,11623,3873,3589,12099,12102,12538,12642,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,12165,4294,4253,12246,12588,4200,11135,12427,12598,4248,11344,12467,12537,12597,12641,3916,11935,12256,12402,12475,12521,4282,3933,10686,10783,11347,11425,11510,11574,12423,12489,12753,12815,12835,12845,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,12226,12284,12300,12303,12306,12309,12482,12496,12499,12502,12505,12581,12645,12764,12811,13097,13120,13196,13207,13212,13215,13218,13251,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,12232,12243,12262,12267,12312,12335,12352,13111,13255,3551,3625,12459,13176,13222,13226,13230,13234,13244,13248,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,12209,12296,12315,12318,12331,12383,12386,12389,12392,12549,12552,12648,12651,12757,12797,12882,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,12061,12696,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,12108,12377,12380,12414,12460,12485,12626,12670,12676,12776,12779,12801,12859,12865,12876,12894,13175,13188,13191,3610,10950,10980,10989,10992,10995,11592,12798,12812,13157,13161,13164,3649,3642,4071,4008,10602,11987,12015,13138,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,12197,12453,3570,10983,11143,11213,12016,12158,12357,12557,12582,4033,12105,13091,4373,3761,4781,4045,4079,4766,4769,4770,3526,3530,4768,4767,3863,4469,11841,4797,10849,10852,4802,11330,11333,11525,11636,11656,11702,4157,11699,12036,12040,12707,12715,3998,11256,11262,11282,12281,12407,12488,3847,11400,11528,12514,12623,12633,12712,12767,12775,4330,4000,10986,11363,11534,11568,11579,12711,3703,3814,10902,10905,10998,11169,3816,4800,11981,4796,13059,4801,10742,10855,11645,12576,12585,12629,12829,4430,11126,12594,12609,4336,4032,12897,3976,3977,4798,10575,10578,10944,10947,11855,12041,12841,4799,11961,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084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% 209.50/209.74 cnf(13295,plain, % 209.50/209.74 (P106(f335(f335(f337(x132951),x132952),f250(f934(x132951,a922))))), % 209.50/209.74 inference(rename_variables,[],[3702])). % 209.50/209.74 cnf(13296,plain, % 209.50/209.74 (E(f335(f199(x132961,x132962),x132963),f128(x132961,x132962))), % 209.50/209.74 inference(rename_variables,[],[3464])). % 209.50/209.74 cnf(13299,plain, % 209.50/209.74 (P106(f335(f335(f337(x132991),f335(x132992,x132993)),f335(f318(x132994,x132991,x132992),f250(f934(x132994,a922)))))), % 209.50/209.74 inference(rename_variables,[],[4157])). % 209.50/209.74 cnf(13303,plain, % 209.50/209.74 (P106(f335(f335(f243(f934(x133031,a922)),x133032),f250(f934(x133031,a922))))), % 209.50/209.74 inference(rename_variables,[],[3933])). % 209.50/209.74 cnf(13306,plain, % 209.50/209.74 (P106(f335(f335(f243(f934(x133061,a922)),x133062),x133062))), % 209.50/209.74 inference(rename_variables,[],[3847])). % 209.50/209.74 cnf(13312,plain, % 209.50/209.74 (~P106(f335(f335(f244(a927),x133121),f2(a927)))), % 209.50/209.74 inference(rename_variables,[],[4778])). % 209.50/209.74 cnf(13313,plain, % 209.50/209.74 (P106(f335(f335(f243(a1),x133131),x133131))), % 209.50/209.74 inference(rename_variables,[],[3550])). % 209.50/209.74 cnf(13317,plain, % 209.50/209.74 (~P106(f335(f335(f244(a927),x133171),f2(a927)))), % 209.50/209.74 inference(rename_variables,[],[4778])). % 209.50/209.74 cnf(13318,plain, % 209.50/209.74 (P106(f335(f335(f243(a1),x133181),x133181))), % 209.50/209.74 inference(rename_variables,[],[3550])). % 209.50/209.74 cnf(13320,plain, % 209.50/209.74 (P106(f335(f335(f243(f934(a1,a922)),f311(a1,f84(a1),f2(a1))),f311(a1,f2(a1),f84(a1))))), % 209.50/209.74 inference(scs_inference,[],[4808,4215,12794,12816,12990,12992,3786,11415,12470,12567,12570,12662,12704,12708,12716,12788,12949,3795,12534,13016,13018,3803,3519,12962,12964,12966,3520,13010,3486,12870,4748,4749,12058,4491,13022,3523,13003,3356,3418,12927,3419,12968,3420,3421,3422,12744,12931,4747,3849,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,11967,12257,12285,12297,12326,12332,12424,12530,12697,12758,3605,3568,12958,3754,12229,3470,4725,10723,10823,11295,11395,3156,3157,3159,3160,3162,3163,3166,3167,3168,3171,3175,3176,3177,3178,3182,3183,3184,3187,3188,3191,3193,3194,3203,3209,3218,3227,3233,3242,3243,3248,3252,3268,3272,3280,3283,3299,3300,3302,3307,3311,3312,3315,3316,3317,3318,3322,4708,3338,3417,4709,3888,4118,11998,3392,11710,3531,3507,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,11993,12442,12638,12848,12902,12910,12917,12919,12921,12923,12925,12947,12999,13001,3481,12729,12733,12737,3487,3496,4010,4318,3464,13296,3616,12791,12873,3381,3748,4104,11756,3604,13029,3447,3378,3408,3868,3403,3602,4224,4112,3931,4671,3390,3391,3362,3368,4023,3428,3606,11138,11265,12531,12748,3480,4189,4738,10553,10720,11606,12689,12730,12734,4745,12701,3540,12078,4147,4785,11321,11420,11665,11668,3950,3653,3874,4763,3620,12906,12908,12984,3444,3445,10623,10953,3707,3436,3359,3466,11746,4332,12719,12860,4191,11341,11476,11537,12673,12679,12805,12808,12838,4803,11240,11489,11600,11626,11673,11679,12617,4804,11374,11492,11603,4805,11495,4806,11555,4807,3465,3746,12573,12614,12700,3915,3695,4605,4606,3767,4736,11739,3892,3850,3894,4067,3818,13221,13225,13229,13233,13243,4114,12564,3732,3993,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,12253,12319,12395,12433,12508,12511,12842,13104,13143,13146,13204,4003,11984,3533,3629,11815,3813,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,12168,12371,12374,12454,12620,12723,13050,13069,13072,13096,13147,13312,4791,11858,11889,11924,11931,11964,13156,13160,3990,3755,3756,12274,13075,13078,13081,13084,13114,4139,3576,3578,3552,4775,3443,4733,3941,4254,3739,4792,4325,11623,3873,3589,12099,12102,12538,12642,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,12165,4294,4253,12246,12588,4200,11135,12427,12598,4248,11344,12467,12537,12597,12641,3916,11935,12256,12402,12475,12521,4282,3933,10686,10783,11347,11425,11510,11574,12423,12489,12753,12815,12835,12845,4795,11086,11500,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,12226,12284,12300,12303,12306,12309,12482,12496,12499,12502,12505,12581,12645,12764,12811,13097,13120,13196,13207,13212,13215,13218,13251,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,12232,12243,12262,12267,12312,12335,12352,13111,13255,13275,13313,3551,3625,12459,13176,13222,13226,13230,13234,13244,13248,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,12209,12296,12315,12318,12331,12383,12386,12389,12392,12549,12552,12648,12651,12757,12797,12882,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,12061,12696,12885,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,12108,12377,12380,12414,12460,12485,12626,12670,12676,12776,12779,12801,12859,12865,12876,12894,13175,13188,13191,3610,10950,10980,10989,10992,10995,11592,12798,12812,13157,13161,13164,3649,3642,4071,4008,10602,11987,12015,13138,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,12197,12453,3570,10983,11143,11213,12016,12158,12357,12557,12582,4033,12105,13091,4373,3761,4781,4045,4079,4766,4769,4770,3526,3530,4768,4767,3863,4469,11841,4797,10849,10852,4802,11330,11333,11525,11636,11656,11702,4157,11699,12036,12040,12707,12715,12804,3998,11256,11262,11282,12281,12407,12488,3847,11400,11528,12514,12623,12633,12712,12767,12775,12891,4330,4000,10986,11363,11534,11568,11579,12711,3703,3814,10902,10905,10998,11169,3816,4800,11981,4796,13059,4801,10742,10855,11645,12576,12585,12629,12829,4430,11126,12594,12609,4336,4032,12897,3976,3977,4798,10575,10578,10944,10947,11855,12041,12841,4799,11961,12046,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228,6239,6240,6271,6272,6276,6297,6300,6303,6324,6325,6353,6356,6364,6373,6375,6383,6387,6395,6396,6397,6398,6428,6445,6496,6533,6535,6556,6557,6564,6568,6569,6572,6586,6601,6622,6623,6626,6629,6638,6653,6674,6680,6682,6697,6698,6701,6702,6704,6706,6707,6708,6710,6712,6714,6720,6721,6723,6724,6730,6732,6774,6780,6796,6798,6799,6800,6833,6838,6840,6845,6846,6856,6860,6872,6895,6896,6898,6899,6910,6914,6917,6935,6938,6958,6987,6988,6989,6995,7009,7028,7030,7032,7034,7039,7045,7047,7061,7066,7067,7102,7103,7104,7118,7119,7121,7122,7140,7142,7157,7183,7207,7218,7220,7222,7224,7225,7256,7257,7261,7262,7269,7270,7272,7274,7296,7305,7306,7317,7327,7367,7377,7381,7388,7399,7404,7406,7413,7421,7434,7451,7472,7474,7493,7550,7551,7552,7554,7556,7560,7561,7566,7627,7656,7671,7687,7718,7721,7743,7765,7783,7786,7787,7797,7817,7819,7821,7823,7824,7825,7850,7876,7877,7908,7910,7911,7912,7917,7938,7955,7960,7966,7968,7976,7988,7989,7991,8012,8018,8039,8105,8106,8107,8154,8160,8161,8185,8186,8203,8204,8205,8262,8263,8292,8322,8331,8342,8355,8384,8388,8394,8406,8424,8429,8451,8497,8527,8541,8560,8563,8589,8615,8673,8674,8677,8678,8747,8781,8782,8783,8784,8811,8843,8872,8880,8881,8922,8943,8988,9004,9050,9053,9068,9075,9117,9160,9161,9179,9180,9194,9311,9317,9321,9341,9352,9375,9377,9380,9386,9388,9389,9399,9400,9419,9425,9435,9442,9484,9502,9557,9558,9564,9603,9626,9631,9670,9680,9683,9684,9686,9687,9699,9722,9737,9746,9747,9749,9751,9780,9901,9902,9952,9953,9992,10027,10139,10208,10279,10362,10381,10386,3,2879,2880,2881,2883,2884,2897,2899,2903,2904,2905,2908,2909,2913,2914,2915,2922,2923,2924,2925,2928,2929,2930,2933,2934,2935,2943,2944,2945,2946,2947,2948,2949,2950,2952,2953,2955,2956,2957,2959,2960,2961,2962,2964,2965,2968,2974,2975,2976,2977,2978,2993,2994,2996,2998,3010,3011,3012,3013,3014,3015,3016,3030,3032,3064,3067,3072,3073,3074,3075,3077,3078,3088,3091,3092,3093,3094,3095,3096,3103,3104,3118,3119,3140,5528,5567,5714,5715,5716,5797,5895,5925,5959,5975,5977,5983,6045,6046,6047,6048,6056,6091,6223,6260,6270,6294,6328,6365,6512,6517,6554,6555,6577,6579,6581,6588,6589,6590,6591,6592,6593,6594,6595,6675,6744,6745,6832,6867,6868,6907,6908,7046,7060,7130,7131,7137,7158,7189,7191,7195,7239,7259,7260,7278,7279,7316,7361,7362,7458,7529,7530,7531,7532,7549,7582,7632,7633,7642,7647,7648,7659,7690,7691,7692,7693,7832,7834,7835,7836,7842,7843,8047,8053,8054,8064,8102,8103,8180,8221,8275,8297,8298,8370])). % 209.50/209.74 cnf(13323,plain, % 209.50/209.74 (P106(f335(f335(f243(a927),x133231),x133231))), % 209.50/209.74 inference(rename_variables,[],[3549])). % 209.50/209.74 cnf(13330,plain, % 209.50/209.74 (E(f335(f335(f16(x133301,x133302),x133303),x133304),x133303)), % 209.50/209.74 inference(rename_variables,[],[3540])). % 209.50/209.74 cnf(13333,plain, % 209.50/209.74 (P106(f335(f335(f243(f934(x133331,a922)),f335(f179(x133331),f183(x133331,x133332,x133333))),f335(f179(x133331),x133332)))), % 209.50/209.74 inference(rename_variables,[],[4248])). % 209.50/209.74 cnf(13337,plain, % 209.50/209.74 (~P106(f335(f335(f244(a927),x133371),f2(a927)))), % 209.50/209.74 inference(rename_variables,[],[4778])). % 209.50/209.74 cnf(13338,plain, % 209.50/209.74 (P106(f335(f335(f243(a1),x133381),x133381))), % 209.50/209.74 inference(rename_variables,[],[3550])). % 209.50/209.74 cnf(13342,plain, % 209.50/209.74 (~P106(f335(f335(f244(a927),x133421),f2(a927)))), % 209.50/209.74 inference(rename_variables,[],[4778])). % 209.50/209.74 cnf(13343,plain, % 209.50/209.74 (P106(f335(f335(f243(a1),x133431),x133431))), % 209.50/209.74 inference(rename_variables,[],[3550])). % 209.50/209.74 cnf(13348,plain, % 209.50/209.74 (P106(f335(f335(f243(a927),x133481),x133481))), % 209.50/209.74 inference(rename_variables,[],[3549])). % 209.50/209.74 cnf(13351,plain, % 209.50/209.74 (P106(f335(f335(f243(a927),x133511),x133511))), % 209.50/209.74 inference(rename_variables,[],[3549])). % 209.50/209.74 cnf(13354,plain, % 209.50/209.74 (~P106(f335(f335(f243(a927),f335(a119,x133541)),x133541))), % 209.50/209.74 inference(rename_variables,[],[4784])). % 209.50/209.74 cnf(13360,plain, % 209.50/209.74 (P106(f335(f335(f337(x133601),f335(x133602,x133603)),f335(f318(x133604,x133601,x133602),f250(f934(x133604,a922)))))), % 209.50/209.74 inference(rename_variables,[],[4157])). % 209.50/209.74 cnf(13361,plain, % 209.50/209.74 (P25(x133611,x133611,f5(x133611),x133612)), % 209.50/209.74 inference(rename_variables,[],[3786])). % 209.50/209.74 cnf(13366,plain, % 209.50/209.74 (P106(f335(f335(f243(f934(x133661,a922)),x133662),f250(f934(x133661,a922))))), % 209.50/209.74 inference(rename_variables,[],[3933])). % 209.50/209.74 cnf(13367,plain, % 209.50/209.74 (P25(x133671,x133671,f5(x133671),x133672)), % 209.50/209.74 inference(rename_variables,[],[3786])). % 209.50/209.74 cnf(13371,plain, % 209.50/209.74 (P106(f335(f335(f243(f934(x133711,a922)),x133712),f250(f934(x133711,a922))))), % 209.50/209.74 inference(rename_variables,[],[3933])). % 209.50/209.74 cnf(13372,plain, % 209.50/209.74 (P25(x133721,x133721,f5(x133721),x133722)), % 209.50/209.74 inference(rename_variables,[],[3786])). % 209.50/209.74 cnf(13376,plain, % 209.50/209.74 (P25(x133761,x133761,f5(x133761),x133762)), % 209.50/209.74 inference(rename_variables,[],[3786])). % 209.50/209.74 cnf(13379,plain, % 209.50/209.74 (~P106(f335(f335(f244(f934(x133791,a922)),x133792),f195(f934(x133791,a922))))), % 209.50/209.74 inference(rename_variables,[],[4795])). % 209.50/209.74 cnf(13382,plain, % 209.50/209.74 (P25(x133821,x133821,f5(x133821),x133822)), % 209.50/209.74 inference(rename_variables,[],[3786])). % 209.50/209.74 cnf(13385,plain, % 209.50/209.74 (P25(x133851,x133851,f5(x133851),x133852)), % 209.50/209.74 inference(rename_variables,[],[3786])). % 209.50/209.74 cnf(13391,plain, % 209.50/209.74 (P106(f335(f335(f243(f934(x133911,a922)),x133912),f250(f934(x133911,a922))))), % 209.50/209.74 inference(rename_variables,[],[3933])). % 209.50/209.74 cnf(13396,plain, % 209.50/209.74 (P106(f335(f335(f243(f934(x133961,a922)),f195(f934(x133961,a922))),x133962))), % 209.50/209.74 inference(rename_variables,[],[4000])). % 209.50/209.74 cnf(13398,plain, % 209.50/209.74 (~E(f120(f928(x133981)),f335(f335(f141(f928(x133981)),x133982),f335(f335(f158(f928(x133981)),f120(x133981)),x133983)))), % 209.50/209.74 inference(scs_inference,[],[4808,4215,12794,12816,12990,12992,3786,11415,12470,12567,12570,12662,12704,12708,12716,12788,12949,12951,13361,13367,13372,13376,13382,3795,12534,13016,13018,3803,3519,12962,12964,12966,3520,13010,3486,12870,4748,4749,12058,4491,13022,3523,13003,3356,3418,12927,3419,12968,3420,3421,3422,12744,12931,4747,3849,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,11967,12257,12285,12297,12326,12332,12424,12530,12697,12758,3605,3568,12958,3754,12229,3470,4725,10723,10823,11295,11395,3156,3157,3159,3160,3162,3163,3166,3167,3168,3171,3175,3176,3177,3178,3182,3183,3184,3187,3188,3191,3193,3194,3203,3209,3218,3227,3233,3242,3243,3248,3252,3268,3272,3280,3283,3299,3300,3302,3307,3311,3312,3315,3316,3317,3318,3322,4708,3338,3417,4709,3888,4118,11998,3392,11710,3531,3507,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,11993,12442,12638,12848,12902,12910,12917,12919,12921,12923,12925,12947,12999,13001,13238,3481,12729,12733,12737,3487,3496,4010,4318,3464,13296,3616,12791,12873,3381,3382,3748,4104,11756,3604,13029,3447,3378,3408,3868,3403,3602,4224,4112,3931,4671,3390,3391,3362,3368,4023,3428,3606,11138,11265,12531,12748,3480,4189,4738,10553,10720,11606,12689,12730,12734,4745,12701,3540,12078,12081,4147,4785,11321,11420,11665,11668,3950,3653,3874,4763,3620,12906,12908,12984,3444,3445,10623,10953,4772,3707,3436,3359,3466,11746,4332,12719,12860,4191,11341,11476,11537,12673,12679,12805,12808,12838,4803,11240,11489,11600,11626,11673,11679,12617,4804,11374,11492,11603,4805,11495,11548,4806,11555,4807,3465,3746,12573,12614,12700,3915,3695,4605,4606,3767,4736,11739,3892,3850,3894,4067,3818,13221,13225,13229,13233,13243,4114,12564,3732,3993,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,12253,12319,12395,12433,12508,12511,12842,13104,13143,13146,13204,4003,11984,3533,3629,11815,3813,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,12168,12371,12374,12454,12620,12723,13050,13069,13072,13096,13147,13312,13317,13337,4791,11858,11889,11924,11931,11964,13156,13160,3990,3755,3756,12274,13075,13078,13081,13084,13114,4139,3576,3578,3552,4775,3443,4733,3941,4254,3739,4792,4325,11623,3873,3589,12099,12102,12538,12642,12819,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,12165,4294,4253,12246,12588,4200,11135,12427,12598,4248,11344,12467,12537,12597,12641,3916,11935,12256,12402,12475,12521,4282,3933,10686,10783,11347,11425,11510,11574,12423,12489,12753,12815,12835,12845,13303,13366,13371,4795,11086,11500,12601,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,12226,12284,12300,12303,12306,12309,12482,12496,12499,12502,12505,12581,12645,12764,12811,13097,13120,13196,13207,13212,13215,13218,13251,13262,13323,13348,13351,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,12232,12243,12262,12267,12312,12335,12352,13111,13255,13275,13313,13318,13338,3551,3625,12459,13176,13222,13226,13230,13234,13244,13248,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,12209,12296,12315,12318,12331,12383,12386,12389,12392,12549,12552,12648,12651,12757,12797,12882,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,12061,12696,12885,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,12108,12377,12380,12414,12460,12485,12626,12670,12676,12776,12779,12801,12859,12865,12876,12894,13175,13188,13191,3610,10950,10980,10989,10992,10995,11592,12798,12812,13157,13161,13164,3649,3642,4071,4008,10602,11987,12015,13138,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,12197,12453,13354,3570,10983,11143,11213,12016,12158,12357,12557,12582,4033,12105,13091,4373,3761,4781,4045,4079,4766,4769,4770,3526,3530,4768,4767,3863,11980,4469,11841,4797,10849,10852,4802,11330,11333,11525,11636,11656,11702,4157,11699,12036,12040,12707,12715,12804,13299,3998,11256,11262,11282,12281,12407,12488,3847,11400,11528,12514,12623,12633,12712,12767,12775,12891,4330,4000,10986,11363,11534,11568,11579,12711,12761,3703,3814,10902,10905,10998,11169,3816,4800,11981,4796,13059,4801,10742,10855,11645,12576,12585,12629,12829,4430,11126,12594,12609,12632,4336,4032,12897,3976,3977,4798,10575,10578,10944,10947,11855,12041,12841,4799,11961,12046,4001,10908,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,582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7259,7260,7278,7279,7316,7361,7362,7458,7529,7530,7531,7532,7549,7582,7632,7633,7642,7647,7648,7659,7690,7691,7692,7693,7832,7834,7835,7836,7842,7843,8047,8053,8054,8064,8102,8103,8180,8221,8275,8297,8298,8370,8465,8537,8538,8542,8575,8637,8638,8705,8723,8724,8725,8726,8876,9136,9137,9208,9222,9275,9276,9396,9428,9454,9486])). % 209.50/209.74 cnf(13400,plain, % 209.50/209.74 (E(f335(f292(x134001,x134001),f271(x134001,x134002)),x134002)), % 209.50/209.74 inference(rename_variables,[],[3510])). % 209.50/209.74 cnf(13404,plain, % 209.50/209.74 (~P106(f335(f335(f337(x134041),x134042),f195(f934(x134041,a922))))), % 209.50/209.74 inference(rename_variables,[],[4787])). % 209.50/209.74 cnf(13407,plain, % 209.50/209.74 (P106(f335(f335(f243(f934(x134071,a922)),x134072),f335(f335(f317(x134071),x134073),x134072)))), % 209.50/209.74 inference(rename_variables,[],[3998])). % 209.50/209.74 cnf(13409,plain, % 209.50/209.74 (P25(x134091,x134091,f5(x134091),x134092)), % 209.50/209.74 inference(rename_variables,[],[3786])). % 209.50/209.74 cnf(13412,plain, % 209.50/209.74 (P106(f335(f335(f243(f934(x134121,a922)),x134122),f250(f934(x134121,a922))))), % 209.50/209.74 inference(rename_variables,[],[3933])). % 209.50/209.74 cnf(13420,plain, % 209.50/209.74 (E(f335(f335(f16(x134201,x134202),x134203),x134204),x134203)), % 209.50/209.74 inference(rename_variables,[],[3540])). % 209.50/209.74 cnf(13423,plain, % 209.50/209.74 (~P106(f335(f335(f337(x134231),x134232),f195(f934(x134231,a922))))), % 209.50/209.74 inference(rename_variables,[],[4787])). % 209.50/209.74 cnf(13426,plain, % 209.50/209.74 (~P106(f335(f335(f337(x134261),x134262),f195(f934(x134261,a922))))), % 209.50/209.74 inference(rename_variables,[],[4787])). % 209.50/209.74 cnf(13429,plain, % 209.50/209.74 (P106(f335(f335(f244(a927),x134291),f335(a119,x134291)))), % 209.50/209.74 inference(rename_variables,[],[3617])). % 209.50/209.74 cnf(13430,plain, % 209.50/209.74 (~E(f335(a119,x134301),x134301)), % 209.50/209.74 inference(rename_variables,[],[4713])). % 209.50/209.74 cnf(13433,plain, % 209.50/209.74 (P106(f335(f335(f244(a927),x134331),f335(a119,f335(f335(f86(a927),x134332),x134331))))), % 209.50/209.74 inference(rename_variables,[],[4001])). % 209.50/209.74 cnf(13434,plain, % 209.50/209.74 (P106(f335(f335(f244(a927),x134341),f335(a119,x134341)))), % 209.50/209.74 inference(rename_variables,[],[3617])). % 209.50/209.74 cnf(13443,plain, % 209.50/209.74 (P106(f335(f335(f243(a1),f2(a1)),f335(f107(a1),x134431)))), % 209.50/209.74 inference(rename_variables,[],[3649])). % 209.50/209.74 cnf(13446,plain, % 209.50/209.74 (P106(f335(f335(f243(a927),f2(a927)),x134461))), % 209.50/209.74 inference(rename_variables,[],[3570])). % 209.50/209.74 cnf(13450,plain, % 209.50/209.74 (~E(f335(a119,x134501),f2(a927))), % 209.50/209.74 inference(rename_variables,[],[4725])). % 209.50/209.74 cnf(13452,plain, % 209.50/209.74 (P106(f335(f335(f295(a927),f335(f335(f9(x134521,a927),x134522),f335(f179(x134521),f183(x134521,x134523,x134524)))),f335(f335(f9(x134521,a927),x134522),f335(f179(x134521),x134523))))), % 209.50/209.74 inference(scs_inference,[],[4808,4215,12794,12816,12990,12992,12994,3786,11415,12470,12567,12570,12662,12704,12708,12716,12788,12949,12951,13361,13367,13372,13376,13382,13385,3795,12534,13016,13018,3803,3519,12962,12964,12966,3520,13010,3486,12870,4748,4749,12058,4491,13022,3523,13003,3356,3418,12927,3419,12968,3420,3421,3422,12744,12931,4747,3849,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,11967,12257,12285,12297,12326,12332,12424,12530,12697,12758,12900,13430,3605,3568,12958,3754,12229,3470,4725,10723,10823,11295,11395,13121,3156,3157,3159,3160,3162,3163,3166,3167,3168,3171,3175,3176,3177,3178,3182,3183,3184,3187,3188,3191,3193,3194,3203,3209,3215,3218,3227,3233,3242,3243,3248,3252,3262,3268,3269,3272,3280,3283,3299,3300,3302,3307,3311,3312,3315,3316,3317,3318,3322,3334,4708,3338,3417,4709,3888,4118,11998,3392,11710,3531,3507,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,11993,12442,12638,12848,12902,12910,12917,12919,12921,12923,12925,12947,12999,13001,13238,3481,12729,12733,12737,3487,3496,4010,4318,3464,13296,3616,12791,12873,3381,3382,3748,4104,11756,3604,13029,3447,3378,3408,3868,3403,3602,4224,4112,3931,4671,3390,3391,3362,3368,4023,3428,3606,11138,11265,12531,12748,3480,4189,4738,10553,10720,11606,12689,12730,12734,4745,12701,3540,12078,12081,13330,4147,4785,11321,11420,11665,11668,3950,3537,3653,3874,4763,3620,12906,12908,12984,3444,3445,10623,10953,4772,3707,3436,3359,3466,11746,4332,12719,12860,4191,11341,11476,11537,12673,12679,12805,12808,12838,4803,11240,11489,11600,11626,11673,11679,12617,4804,11374,11492,11603,4805,11495,11548,4806,11555,4807,3465,3746,12573,12614,12700,3915,3695,4605,4606,3767,4736,11739,3892,3850,3894,4067,3818,13221,13225,13229,13233,13243,4114,12564,3732,3993,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,12253,12319,12395,12433,12508,12511,12842,13104,13143,13146,13204,13429,4003,11984,3533,3629,11815,3813,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,12168,12371,12374,12454,12620,12723,13050,13069,13072,13096,13147,13312,13317,13337,4791,11858,11889,11924,11931,11964,13156,13160,3990,3755,3756,12274,13075,13078,13081,13084,13114,4139,3576,3578,3552,4775,3443,4733,3941,4254,3739,4792,4325,11623,3873,3589,12099,12102,12538,12642,12819,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,12165,4294,4253,12246,12588,4200,11135,12427,12598,4248,11344,12467,12537,12597,12641,13333,3916,11935,12256,12402,12475,12521,4282,3933,10686,10783,11347,11425,11510,11574,12423,12489,12753,12815,12835,12845,13303,13366,13371,13391,4795,11086,11500,12601,13379,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,12226,12284,12300,12303,12306,12309,12482,12496,12499,12502,12505,12581,12645,12764,12811,13097,13120,13196,13207,13212,13215,13218,13251,13262,13323,13348,13351,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,12232,12243,12262,12267,12312,12335,12352,13111,13255,13275,13313,13318,13338,3551,3625,12459,13176,13222,13226,13230,13234,13244,13248,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,12209,12296,12315,12318,12331,12383,12386,12389,12392,12549,12552,12648,12651,12757,12797,12882,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,12061,12696,12885,13295,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,12108,12377,12380,12414,12460,12485,12626,12670,12676,12776,12779,12801,12859,12865,12876,12894,13175,13188,13191,13284,13404,13423,3610,10950,10980,10989,10992,10995,11592,12798,12812,13157,13161,13164,3649,3642,4071,4008,10602,11987,12015,13138,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,12197,12453,13354,3570,10983,11143,11213,12016,12158,12357,12557,12582,13185,4033,12105,13091,4373,3761,4781,4045,4079,4766,4769,4770,3526,3530,4768,4767,3863,11980,4469,11841,4797,10849,10852,4802,11330,11333,11525,11636,11656,11702,4157,11699,12036,12040,12707,12715,12804,13299,13360,3998,11256,11262,11282,12281,12407,12488,12772,3847,11400,11528,12514,12623,12633,12712,12767,12775,12891,4330,4000,10986,11363,11534,11568,11579,12711,12761,3703,3814,10902,10905,10998,11169,3816,4800,11981,4796,13059,4801,10742,10855,11645,12576,12585,12629,12829,4430,11126,12594,12609,12632,4336,4032,12897,3976,3977,4798,10575,10578,10944,10947,11855,12041,12841,4799,11961,12046,4001,10908,11175,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228,6239,6240,6271,6272,6276,6297,6300,6303,6324,6325,6353,6356,6364,6373,6375,6383,6387,6395,6396,6397,6398,6428,6445,6496,6533,6535,6556,6557,6564,6568,6569,6572,6586,6601,6622,6623,6626,6629,6638,6653,6674,6680,6682,6697,6698,6701,6702,6704,6706,6707,6708,6710,6712,6714,6720,6721,6723,6724,6730,6732,6774,6780,6796,6798,6799,6800,6833,6838,6840,6845,6846,6856,6860,6872,6895,6896,6898,6899,6910,6914,6917,6935,6938,6958,6987,6988,6989,6995,7009,7028,7030,7032,7034,7039,7045,7047,7061,7066,7067,7102,7103,7104,7118,7119,7121,7122,7140,7142,7157,7183,7207,7218,7220,7222,7224,7225,7256,7257,7261,7262,7269,7270,7272,7274,7296,7305,7306,7317,7327,7367,7377,7381,7388,7399,7404,7406,7413,7421,7434,7451,7472,7474,7493,7550,7551,7552,7554,7556,7560,7561,7566,7627,7656,7671,7687,7718,7721,7743,7765,7783,7786,7787,7797,7817,7819,7821,7823,7824,7825,7850,7876,7877,7908,7910,7911,7912,7917,7938,7955,7960,7966,7968,7976,7988,7989,7991,8012,8018,8039,8105,8106,8107,8154,8160,8161,8185,8186,8203,8204,8205,8262,8263,8292,8322,8331,8342,8355,8384,8388,8394,8406,8424,8429,8451,8497,8527,8541,8560,8563,8589,8615,8673,8674,8677,8678,8747,8781,8782,8783,8784,8811,8843,8872,8880,8881,8922,8943,8988,9004,9050,9053,9068,9075,9117,9160,9161,9179,9180,9194,9311,9317,9321,9341,9352,9375,9377,9380,9386,9388,9389,9399,9400,9419,9425,9435,9442,9484,9502,9557,9558,9564,9603,9626,9631,9670,9680,9683,9684,9686,9687,9699,9722,9737,9746,9747,9749,9751,9780,9901,9902,9952,9953,9992,10027,10139,10208,10279,10362,10381,10386,3,2879,2880,2881,2883,2884,2897,2899,2903,2904,2905,2908,2909,2913,2914,2915,2922,2923,2924,2925,2928,2929,2930,2933,2934,2935,2943,2944,2945,2946,2947,2948,2949,2950,2952,2953,2955,2956,2957,2959,2960,2961,2962,2964,2965,2968,2974,2975,2976,2977,2978,2993,2994,2996,2998,3010,3011,3012,3013,3014,3015,3016,3030,3032,3064,3067,3072,3073,3074,3075,3077,3078,3088,3091,3092,3093,3094,3095,3096,3103,3104,3118,3119,3140,5528,5567,5714,5715,5716,5797,5895,5925,5959,5975,5977,5983,6045,6046,6047,6048,6056,6091,6223,6260,6270,6294,6328,6365,6512,6517,6554,6555,6577,6579,6581,6588,6589,6590,6591,6592,6593,6594,6595,6675,6744,6745,6832,6867,6868,6907,6908,7046,7060,7130,7131,7137,7158,7189,7191,7195,7239,7259,7260,7278,7279,7316,7361,7362,7458,7529,7530,7531,7532,7549,7582,7632,7633,7642,7647,7648,7659,7690,7691,7692,7693,7832,7834,7835,7836,7842,7843,8047,8053,8054,8064,8102,8103,8180,8221,8275,8297,8298,8370,8465,8537,8538,8542,8575,8637,8638,8705,8723,8724,8725,8726,8876,9136,9137,9208,9222,9275,9276,9396,9428,9454,9486,9527,9720,9843,9987,10177,10233,10235,6658,6659,6747,6767,6768,7180,7397,8718])). % 209.50/209.74 cnf(13453,plain, % 209.50/209.74 (P106(f335(f335(f243(f934(x134531,a922)),f335(f179(x134531),f183(x134531,x134532,x134533))),f335(f179(x134531),x134532)))), % 209.50/209.74 inference(rename_variables,[],[4248])). % 209.50/209.74 cnf(13458,plain, % 209.50/209.74 (~P106(f335(f335(f337(x134581),x134582),f195(f934(x134581,a922))))), % 209.50/209.74 inference(rename_variables,[],[4787])). % 209.50/209.74 cnf(13461,plain, % 209.50/209.74 (P106(f335(f66(a927),f313(a927,x134611,x134612)))), % 209.50/209.74 inference(rename_variables,[],[3756])). % 209.50/209.74 cnf(13462,plain, % 209.50/209.74 (E(f335(f335(f241(a927),f335(a119,x134621)),f335(a119,x134622)),f335(a119,f335(f335(f241(a927),x134621),x134622)))), % 209.50/209.74 inference(rename_variables,[],[3720])). % 209.50/209.74 cnf(13465,plain, % 209.50/209.74 (P106(f335(f66(a927),f313(a927,x134651,x134652)))), % 209.50/209.74 inference(rename_variables,[],[3756])). % 209.50/209.74 cnf(13466,plain, % 209.50/209.74 (E(f335(f335(f242(a927),f335(a119,x134661)),f335(a119,x134662)),f335(a119,f335(f335(f242(a927),x134661),x134662)))), % 209.50/209.74 inference(rename_variables,[],[3721])). % 209.50/209.74 cnf(13469,plain, % 209.50/209.74 (P106(f335(f66(a927),f313(a927,x134691,x134692)))), % 209.50/209.74 inference(rename_variables,[],[3756])). % 209.50/209.74 cnf(13473,plain, % 209.50/209.74 (P106(f335(f66(a927),f313(a927,x134731,x134732)))), % 209.50/209.74 inference(rename_variables,[],[3756])). % 209.50/209.74 cnf(13478,plain, % 209.50/209.74 (~P106(f335(f335(f337(x134781),x134782),f195(f934(x134781,a922))))), % 209.50/209.74 inference(rename_variables,[],[4787])). % 209.50/209.74 cnf(13479,plain, % 209.50/209.74 (E(f335(f335(f16(x134791,x134792),x134793),x134794),x134793)), % 209.50/209.74 inference(rename_variables,[],[3540])). % 209.50/209.74 cnf(13482,plain, % 209.50/209.74 (P106(f335(f335(f243(f934(x134821,a922)),f335(f179(x134821),f335(f143(x134821,x134822),x134823))),f335(f179(x134821),x134823)))), % 209.50/209.74 inference(rename_variables,[],[4200])). % 209.50/209.74 cnf(13483,plain, % 209.50/209.74 (E(f335(f335(f16(x134831,x134832),x134833),x134834),x134833)), % 209.50/209.74 inference(rename_variables,[],[3540])). % 209.50/209.74 cnf(13486,plain, % 209.50/209.74 (P106(f335(f335(f243(f934(x134861,a922)),f335(f179(x134861),f335(f335(f182(x134861),x134862),x134863))),f335(f179(x134861),x134863)))), % 209.50/209.74 inference(rename_variables,[],[4243])). % 209.50/209.74 cnf(13487,plain, % 209.50/209.74 (E(f335(f335(f16(x134871,x134872),x134873),x134874),x134873)), % 209.50/209.74 inference(rename_variables,[],[3540])). % 209.50/209.74 cnf(13491,plain, % 209.50/209.74 (E(f335(f335(f16(x134911,x134912),x134913),x134914),x134913)), % 209.50/209.74 inference(rename_variables,[],[3540])). % 209.50/209.74 cnf(13504,plain, % 209.50/209.74 (P106(f335(f335(f243(a1),f2(a1)),f335(f107(a1),x135041)))), % 209.50/209.74 inference(rename_variables,[],[3649])). % 209.50/209.74 cnf(13509,plain, % 209.50/209.74 (P25(x135091,x135091,f5(x135091),x135092)), % 209.50/209.74 inference(rename_variables,[],[3786])). % 209.50/209.74 cnf(13512,plain, % 209.50/209.74 (~P106(f335(f335(f337(x135121),x135122),f195(f934(x135121,a922))))), % 209.50/209.74 inference(rename_variables,[],[4787])). % 209.50/209.74 cnf(13513,plain, % 209.50/209.74 (E(f335(f292(x135131,x135131),f271(x135131,x135132)),x135132)), % 209.50/209.74 inference(rename_variables,[],[3510])). % 209.50/209.74 cnf(13514,plain, % 209.50/209.74 (P25(x135141,x135141,f5(x135141),x135142)), % 209.50/209.74 inference(rename_variables,[],[3786])). % 209.50/209.74 cnf(13518,plain, % 209.50/209.74 (E(f335(f292(x135181,x135181),f271(x135181,x135182)),x135182)), % 209.50/209.74 inference(rename_variables,[],[3510])). % 209.50/209.74 cnf(13519,plain, % 209.50/209.74 (P25(x135191,x135191,f5(x135191),x135192)), % 209.50/209.74 inference(rename_variables,[],[3786])). % 209.50/209.74 cnf(13523,plain, % 209.50/209.74 (P106(f335(f335(f244(f934(a1,a922)),f311(a1,f84(a1),f2(a1))),f311(a1,f2(a1),f84(a1))))), % 209.50/209.74 inference(scs_inference,[],[4808,4215,12794,12816,12990,12992,12994,3786,11415,12470,12567,12570,12662,12704,12708,12716,12788,12949,12951,13361,13367,13372,13376,13382,13385,13409,13509,13514,3795,12534,13016,13018,3803,3519,12962,12964,12966,3520,13010,3486,12870,4748,4749,12058,4491,13022,3523,13003,3356,3418,12927,3419,12968,3420,3421,3422,12744,12931,4747,3849,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,11967,12257,12285,12297,12326,12332,12424,12530,12697,12758,12900,13430,3605,3568,12958,3754,12229,3470,4725,10723,10823,11295,11395,13121,3156,3157,3159,3160,3162,3163,3166,3167,3168,3171,3175,3176,3177,3178,3182,3183,3184,3187,3188,3191,3193,3194,3203,3209,3215,3218,3227,3233,3242,3243,3248,3252,3262,3268,3269,3272,3280,3283,3299,3300,3302,3307,3311,3312,3315,3316,3317,3318,3322,3334,4708,3338,3417,4709,3888,4118,11998,3392,11710,3531,3507,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,11993,12442,12638,12848,12902,12910,12917,12919,12921,12923,12925,12947,12999,13001,13238,13400,13513,3481,12729,12733,12737,3487,3496,4010,4318,3464,13296,3616,12791,12873,3381,3382,3748,4104,11756,3604,13029,3447,3378,3408,3868,3403,3602,4224,4112,3931,4671,3390,3391,3362,3368,4023,3428,3606,11138,11265,12531,12748,3480,4189,4738,10553,10720,11606,12689,12730,12734,4745,12701,3540,12078,12081,13330,13420,13479,13483,13487,13491,4147,4785,11321,11420,11665,11668,3950,3537,3653,3874,3645,4763,3620,12906,12908,12984,3444,3445,10623,10953,4772,3707,3436,3359,3466,11746,4332,12719,12860,4191,11341,11476,11537,12673,12679,12805,12808,12838,4803,11240,11489,11600,11626,11673,11679,12617,4804,11374,11492,11603,4805,11495,11548,4806,11555,4807,3465,3746,12573,12614,12700,3915,3695,4605,4606,3767,4736,11739,3892,3850,3894,4067,3818,13221,13225,13229,13233,13243,4114,12564,3732,3993,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,12253,12319,12395,12433,12508,12511,12842,13104,13143,13146,13204,13429,4003,11984,3533,3629,11815,3813,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,12168,12371,12374,12454,12620,12723,13050,13069,13072,13096,13147,13312,13317,13337,4791,11858,11889,11924,11931,11964,13156,13160,3990,3755,3756,12274,13075,13078,13081,13084,13114,13117,13461,13465,13469,4139,3720,13462,3721,13466,3576,3578,3552,4775,3443,4733,3941,4254,3739,4792,4325,11623,3873,3589,12099,12102,12538,12642,12819,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,12165,4294,4253,12246,12588,4200,11135,12427,12598,12747,13482,4243,13486,4248,11344,12467,12537,12597,12641,13333,13453,3916,11935,12256,12402,12475,12521,4282,3933,10686,10783,11347,11425,11510,11574,12423,12489,12753,12815,12835,12845,13303,13366,13371,13391,13412,4795,11086,11500,12601,13379,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,12226,12284,12300,12303,12306,12309,12482,12496,12499,12502,12505,12581,12645,12764,12811,13097,13120,13196,13207,13212,13215,13218,13251,13262,13323,13348,13351,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,12232,12243,12262,12267,12312,12335,12352,13111,13255,13275,13313,13318,13338,3551,3625,12459,13176,13222,13226,13230,13234,13244,13248,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,12209,12296,12315,12318,12331,12383,12386,12389,12392,12549,12552,12648,12651,12757,12797,12882,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,12061,12696,12885,13295,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,12108,12377,12380,12414,12460,12485,12626,12670,12676,12776,12779,12801,12859,12865,12876,12894,13175,13188,13191,13284,13404,13423,13426,13458,13478,13512,3610,10950,10980,10989,10992,10995,11592,12798,12812,13157,13161,13164,3649,13443,3642,4071,4008,10602,11987,12015,13138,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,12197,12453,13354,3570,10983,11143,11213,12016,12158,12357,12557,12582,13185,4033,12105,13091,4373,3761,4781,4045,4079,4766,4769,4770,3526,3530,4768,4767,4542,3863,11980,4469,11841,4797,10849,10852,4802,11330,11333,11525,11636,11656,11702,4157,11699,12036,12040,12707,12715,12804,13299,13360,3998,11256,11262,11282,12281,12407,12488,12772,3847,11400,11528,12514,12623,12633,12712,12767,12775,12891,13306,4330,4000,10986,11363,11534,11568,11579,12711,12761,13396,3703,3814,10902,10905,10998,11169,3816,4800,11981,4796,13059,4801,10742,10855,11645,12576,12585,12629,12829,4430,11126,12594,12609,12632,4336,4032,12897,3976,3977,4798,10575,10578,10944,10947,11855,12041,12841,4799,11961,12046,4001,10908,11175,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,53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,3094,3095,3096,3103,3104,3118,3119,3140,5528,5567,5714,5715,5716,5797,5895,5925,5959,5975,5977,5983,6045,6046,6047,6048,6056,6091,6223,6260,6270,6294,6328,6365,6512,6517,6554,6555,6577,6579,6581,6588,6589,6590,6591,6592,6593,6594,6595,6675,6744,6745,6832,6867,6868,6907,6908,7046,7060,7130,7131,7137,7158,7189,7191,7195,7239,7259,7260,7278,7279,7316,7361,7362,7458,7529,7530,7531,7532,7549,7582,7632,7633,7642,7647,7648,7659,7690,7691,7692,7693,7832,7834,7835,7836,7842,7843,8047,8053,8054,8064,8102,8103,8180,8221,8275,8297,8298,8370,8465,8537,8538,8542,8575,8637,8638,8705,8723,8724,8725,8726,8876,9136,9137,9208,9222,9275,9276,9396,9428,9454,9486,9527,9720,9843,9987,10177,10233,10235,6658,6659,6747,6767,6768,7180,7397,8718,8797,9044,9233,9234,9302,9303,9481,9575,9576,9577,9578,9783,10051,10065,10442,10443,6729,8629])). % 209.50/209.74 cnf(13532,plain, % 209.50/209.74 (P106(f335(f335(f243(a927),f2(a927)),x135321))), % 209.50/209.74 inference(rename_variables,[],[3570])). % 209.50/209.74 cnf(13533,plain, % 209.50/209.74 (P106(f335(f335(f244(a927),f2(a927)),f335(a119,x135331)))), % 209.50/209.74 inference(rename_variables,[],[3629])). % 209.50/209.74 cnf(13534,plain, % 209.50/209.74 (E(f335(f292(x135341,x135341),f271(x135341,x135342)),x135342)), % 209.50/209.74 inference(rename_variables,[],[3510])). % 209.50/209.74 cnf(13559,plain, % 209.50/209.74 (~E(f335(f335(f158(x135591),x135592),x135593),f335(f175(x135591),f120(x135591)))), % 209.50/209.74 inference(scs_inference,[],[4808,4215,12794,12816,12990,12992,12994,3786,11415,12470,12567,12570,12662,12704,12708,12716,12788,12949,12951,13361,13367,13372,13376,13382,13385,13409,13509,13514,3795,12534,13016,13018,3803,3519,12962,12964,12966,3520,13010,3486,12870,4748,4749,12058,4491,13022,3523,13003,3356,3418,12927,3419,12968,3420,3421,3422,12744,12931,4747,3849,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,11967,12257,12285,12297,12326,12332,12424,12530,12697,12758,12900,13430,3605,3568,12958,3754,12229,3470,4725,10723,10823,11295,11395,13121,13450,3156,3157,3159,3160,3162,3163,3166,3167,3168,3171,3175,3176,3177,3178,3182,3183,3184,3187,3188,3191,3193,3194,3203,3209,3215,3218,3227,3231,3233,3242,3243,3248,3252,3253,3262,3268,3269,3272,3280,3283,3299,3300,3302,3307,3311,3312,3315,3316,3317,3318,3322,3334,4708,3338,3417,4709,3888,4118,11998,3392,11710,3531,3507,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,11993,12442,12638,12848,12902,12910,12917,12919,12921,12923,12925,12947,12999,13001,13238,13400,13513,13518,13534,3481,12729,12733,12737,3487,3496,4010,4318,3464,13296,3616,12791,12873,3381,3382,3748,4104,11756,3604,13029,3447,3378,3408,3868,3403,3602,4224,4112,3931,4671,3390,3391,3362,3368,4023,3428,3606,11138,11265,12531,12748,3480,4189,4738,10553,10720,11606,12689,12730,12734,4745,12701,3540,12078,12081,13330,13420,13479,13483,13487,13491,4147,4785,11321,11420,11665,11668,3950,3537,3653,3874,3645,4763,3620,12906,12908,12984,3444,3445,10623,10953,4772,3707,3436,3359,3466,11746,4332,12719,12860,4191,11341,11476,11537,12673,12679,12805,12808,12838,4803,11240,11489,11600,11626,11673,11679,12617,4804,11374,11492,11603,4805,11495,11548,4806,11555,4807,3465,3746,12573,12614,12700,3915,3695,4605,4606,3730,3767,4736,11739,3892,3850,3894,4067,3818,13221,13225,13229,13233,13243,4114,12564,3732,3993,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,12253,12319,12395,12433,12508,12511,12842,13104,13143,13146,13204,13429,13434,4003,11984,3533,3629,11815,12093,13533,3813,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,12168,12371,12374,12454,12620,12723,13050,13069,13072,13096,13147,13312,13317,13337,13342,4791,11858,11889,11924,11931,11964,13156,13160,3990,3755,3756,12274,13075,13078,13081,13084,13114,13117,13461,13465,13469,4139,3720,13462,3721,13466,3576,3578,3552,4775,3443,4733,3941,4254,3739,4792,4325,11623,3873,3589,12099,12102,12538,12642,12819,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,12165,4294,4253,12246,12588,4200,11135,12427,12598,12747,13482,4243,13486,4248,11344,12467,12537,12597,12641,13333,13453,4249,3916,11935,12256,12402,12475,12521,4282,3933,10686,10783,11347,11425,11510,11574,12423,12489,12753,12815,12835,12845,13303,13366,13371,13391,13412,4795,11086,11500,12601,13379,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,12226,12284,12300,12303,12306,12309,12482,12496,12499,12502,12505,12581,12645,12764,12811,13097,13120,13196,13207,13212,13215,13218,13251,13262,13323,13348,13351,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,12232,12243,12262,12267,12312,12335,12352,13111,13255,13275,13313,13318,13338,13343,3551,3625,12459,13176,13222,13226,13230,13234,13244,13248,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,12209,12296,12315,12318,12331,12383,12386,12389,12392,12549,12552,12648,12651,12757,12797,12882,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,12061,12696,12885,13295,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,12108,12377,12380,12414,12460,12485,12626,12670,12676,12776,12779,12801,12859,12865,12876,12894,13175,13188,13191,13284,13404,13423,13426,13458,13478,13512,3610,10950,10980,10989,10992,10995,11592,12798,12812,13157,13161,13164,3649,13443,13504,3642,4071,4008,10602,11987,12015,13138,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,12197,12453,13354,3570,10983,11143,11213,12016,12158,12357,12557,12582,13185,13446,13532,4033,12105,13091,4373,3761,4781,4045,4079,4766,4769,4770,3526,3530,4768,4767,4542,3863,11980,4469,11841,4797,10849,10852,4802,11330,11333,11525,11636,11656,11702,4157,11699,12036,12040,12707,12715,12804,13299,13360,3998,11256,11262,11282,12281,12407,12488,12772,3847,11400,11528,12514,12623,12633,12712,12767,12775,12891,13306,4330,4000,10986,11363,11534,11568,11579,12711,12761,13396,3703,3814,10902,10905,10998,11169,3816,4800,11981,4796,13059,4801,10742,10855,11645,12576,12585,12629,12829,4430,11126,12594,12609,12632,4336,4032,12897,3976,3977,4798,10575,10578,10944,10947,11855,12041,12841,4799,11961,12046,4001,10908,11175,13433,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228,6239,6240,6271,6272,6276,6297,6300,6303,6324,6325,6353,6356,6364,6373,6375,6383,6387,6395,6396,6397,6398,6428,6445,6496,6533,6535,6556,6557,6564,6568,6569,6572,6586,6601,6622,6623,6626,6629,6638,6653,6674,6680,6682,6697,6698,6701,6702,6704,6706,6707,6708,6710,6712,6714,6720,6721,6723,6724,6730,6732,6774,6780,6796,6798,6799,6800,6833,6838,6840,6845,6846,6856,6860,6872,6895,6896,6898,6899,6910,6914,6917,6935,6938,6958,6987,6988,6989,6995,7009,7028,7030,7032,7034,7039,7045,7047,7061,7066,7067,7102,7103,7104,7118,7119,7121,7122,7140,7142,7157,7183,7207,7218,7220,7222,7224,7225,7256,7257,7261,7262,7269,7270,7272,7274,7296,7305,7306,7317,7327,7367,7377,7381,7388,7399,7404,7406,7413,7421,7434,7451,7472,7474,7493,7550,7551,7552,7554,7556,7560,7561,7566,7627,7656,7671,7687,7718,7721,7743,7765,7783,7786,7787,7797,7817,7819,7821,7823,7824,7825,7850,7876,7877,7908,7910,7911,7912,7917,7938,7955,7960,7966,7968,7976,7988,7989,7991,8012,8018,8039,8105,8106,8107,8154,8160,8161,8185,8186,8203,8204,8205,8262,8263,8292,8322,8331,8342,8355,8384,8388,8394,8406,8424,8429,8451,8497,8527,8541,8560,8563,8589,8615,8673,8674,8677,8678,8747,8781,8782,8783,8784,8811,8843,8872,8880,8881,8922,8943,8988,9004,9050,9053,9068,9075,9117,9160,9161,9179,9180,9194,9311,9317,9321,9341,9352,9375,9377,9380,9386,9388,9389,9399,9400,9419,9425,9435,9442,9484,9502,9557,9558,9564,9603,9626,9631,9670,9680,9683,9684,9686,9687,9699,9722,9737,9746,9747,9749,9751,9780,9901,9902,9952,9953,9992,10027,10139,10208,10279,10362,10381,10386,3,2879,2880,2881,2883,2884,2897,2899,2903,2904,2905,2908,2909,2913,2914,2915,2922,2923,2924,2925,2928,2929,2930,2933,2934,2935,2943,2944,2945,2946,2947,2948,2949,2950,2952,2953,2955,2956,2957,2959,2960,2961,2962,2964,2965,2968,2974,2975,2976,2977,2978,2993,2994,2996,2998,3010,3011,3012,3013,3014,3015,3016,3030,3032,3064,3067,3072,3073,3074,3075,3077,3078,3088,3091,3092,3093,3094,3095,3096,3103,3104,3118,3119,3140,5528,5567,5714,5715,5716,5797,5895,5925,5959,5975,5977,5983,6045,6046,6047,6048,6056,6091,6223,6260,6270,6294,6328,6365,6512,6517,6554,6555,6577,6579,6581,6588,6589,6590,6591,6592,6593,6594,6595,6675,6744,6745,6832,6867,6868,6907,6908,7046,7060,7130,7131,7137,7158,7189,7191,7195,7239,7259,7260,7278,7279,7316,7361,7362,7458,7529,7530,7531,7532,7549,7582,7632,7633,7642,7647,7648,7659,7690,7691,7692,7693,7832,7834,7835,7836,7842,7843,8047,8053,8054,8064,8102,8103,8180,8221,8275,8297,8298,8370,8465,8537,8538,8542,8575,8637,8638,8705,8723,8724,8725,8726,8876,9136,9137,9208,9222,9275,9276,9396,9428,9454,9486,9527,9720,9843,9987,10177,10233,10235,6658,6659,6747,6767,6768,7180,7397,8718,8797,9044,9233,9234,9302,9303,9481,9575,9576,9577,9578,9783,10051,10065,10442,10443,6729,8629,8630,9100,9118,10052,10441,4864,4896,4897,4900,4948])). % 209.50/209.74 cnf(13609,plain, % 209.50/209.74 (~P106(f335(f335(f244(a1),f2(a1)),f2(a1)))), % 209.50/209.74 inference(scs_inference,[],[4808,4215,12794,12816,12990,12992,12994,3786,11415,12470,12567,12570,12662,12704,12708,12716,12788,12949,12951,13361,13367,13372,13376,13382,13385,13409,13509,13514,3795,12534,13016,13018,3803,3519,12962,12964,12966,3520,13010,3486,12870,4748,4749,12058,4491,13022,3523,13003,3356,3418,12927,3419,12968,3420,3421,3422,12744,12931,4747,3849,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,11967,12257,12285,12297,12326,12332,12424,12530,12697,12758,12900,13430,3605,3568,12958,3754,12229,3470,4725,10723,10823,11295,11395,13121,13450,3156,3157,3159,3160,3162,3163,3166,3167,3168,3171,3175,3176,3177,3178,3182,3183,3184,3187,3188,3191,3193,3194,3203,3209,3215,3218,3227,3231,3233,3242,3243,3248,3252,3253,3262,3268,3269,3272,3280,3283,3299,3300,3302,3307,3311,3312,3315,3316,3317,3318,3322,3334,4708,3338,3417,4709,3888,4118,11998,3392,11710,3531,3507,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,11993,12442,12638,12848,12902,12910,12917,12919,12921,12923,12925,12947,12999,13001,13238,13400,13513,13518,13534,3481,12729,12733,12737,3487,3496,4010,4318,3464,13296,3616,12791,12873,3381,3382,3748,4104,11756,3604,13029,3447,3378,3408,3868,3403,3602,4224,4112,3931,4671,3390,3391,3362,3368,4023,3428,3606,11138,11265,12531,12748,3480,4189,4738,10553,10720,11606,12689,12730,12734,4745,12701,3540,12078,12081,13330,13420,13479,13483,13487,13491,4147,4785,11321,11420,11665,11668,3950,3537,3653,3874,3645,4763,3620,12906,12908,12984,3444,3445,10623,10953,4772,3707,3436,3359,3466,11746,4332,12719,12860,4191,11341,11476,11537,12673,12679,12805,12808,12838,4803,11240,11489,11600,11626,11673,11679,12617,4804,11374,11492,11603,4805,11495,11548,4806,11555,4807,3465,3746,12573,12614,12700,3915,3695,4605,4606,3730,3767,4736,11739,3892,3850,3894,4067,3818,13221,13225,13229,13233,13243,4114,12564,3732,3993,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,12253,12319,12395,12433,12508,12511,12842,13104,13143,13146,13204,13429,13434,4003,11984,3533,3629,11815,12093,13533,3813,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,12168,12371,12374,12454,12620,12723,13050,13069,13072,13096,13147,13312,13317,13337,13342,4791,11858,11889,11924,11931,11964,13156,13160,3990,3755,3756,12274,13075,13078,13081,13084,13114,13117,13461,13465,13469,4139,3720,13462,3721,13466,3576,3578,3552,4775,3443,4733,3941,4254,3739,4792,4325,11623,3873,3589,12099,12102,12538,12642,12819,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,12165,4294,4253,12246,12588,4200,11135,12427,12598,12747,13482,4243,13486,4248,11344,12467,12537,12597,12641,13333,13453,4249,3916,11935,12256,12402,12475,12521,4282,3933,10686,10783,11347,11425,11510,11574,12423,12489,12753,12815,12835,12845,13303,13366,13371,13391,13412,4795,11086,11500,12601,13379,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,12226,12284,12300,12303,12306,12309,12482,12496,12499,12502,12505,12581,12645,12764,12811,13097,13120,13196,13207,13212,13215,13218,13251,13262,13323,13348,13351,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,12232,12243,12262,12267,12312,12335,12352,13111,13255,13275,13313,13318,13338,13343,3551,3625,12459,13176,13222,13226,13230,13234,13244,13248,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,12209,12296,12315,12318,12331,12383,12386,12389,12392,12549,12552,12648,12651,12757,12797,12882,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,12061,12696,12885,13295,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,12108,12377,12380,12414,12460,12485,12626,12670,12676,12776,12779,12801,12859,12865,12876,12894,13175,13188,13191,13284,13404,13423,13426,13458,13478,13512,3610,10950,10980,10989,10992,10995,11592,12798,12812,13157,13161,13164,3649,13443,13504,3642,4071,4008,10602,11987,12015,13138,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,12197,12453,13354,3570,10983,11143,11213,12016,12158,12357,12557,12582,13185,13446,13532,4033,12105,13091,4373,3761,4781,4045,4079,4766,4769,4770,3526,3530,4768,4767,4542,3863,11980,4469,11841,4797,10849,10852,4802,11330,11333,11525,11636,11656,11702,4157,11699,12036,12040,12707,12715,12804,13299,13360,3998,11256,11262,11282,12281,12407,12488,12772,3847,11400,11528,12514,12623,12633,12712,12767,12775,12891,13306,4330,4000,10986,11363,11534,11568,11579,12711,12761,13396,3703,3814,10902,10905,10998,11169,3816,4800,11981,4796,13059,4801,10742,10855,11645,12576,12585,12629,12829,4430,11126,12594,12609,12632,4336,4032,12897,3976,3977,4798,10575,10578,10944,10947,11855,12041,12841,4799,11961,12046,4001,10908,11175,13433,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228,6239,6240,6271,6272,6276,6297,6300,6303,6324,6325,6353,6356,6364,6373,6375,6383,6387,6395,6396,6397,6398,6428,6445,6496,6533,6535,6556,6557,6564,6568,6569,6572,6586,6601,6622,6623,6626,6629,6638,6653,6674,6680,6682,6697,6698,6701,6702,6704,6706,6707,6708,6710,6712,6714,6720,6721,6723,6724,6730,6732,6774,6780,6796,6798,6799,6800,6833,6838,6840,6845,6846,6856,6860,6872,6895,6896,6898,6899,6910,6914,6917,6935,6938,6958,6987,6988,6989,6995,7009,7028,7030,7032,7034,7039,7045,7047,7061,7066,7067,7102,7103,7104,7118,7119,7121,7122,7140,7142,7157,7183,7207,7218,7220,7222,7224,7225,7256,7257,7261,7262,7269,7270,7272,7274,7296,7305,7306,7317,7327,7367,7377,7381,7388,7399,7404,7406,7413,7421,7434,7451,7472,7474,7493,7550,7551,7552,7554,7556,7560,7561,7566,7627,7656,7671,7687,7718,7721,7743,7765,7783,7786,7787,7797,7817,7819,7821,7823,7824,7825,7850,7876,7877,7908,7910,7911,7912,7917,7938,7955,7960,7966,7968,7976,7988,7989,7991,8012,8018,8039,8105,8106,8107,8154,8160,8161,8185,8186,8203,8204,8205,8262,8263,8292,8322,8331,8342,8355,8384,8388,8394,8406,8424,8429,8451,8497,8527,8541,8560,8563,8589,8615,8673,8674,8677,8678,8747,8781,8782,8783,8784,8811,8843,8872,8880,8881,8922,8943,8988,9004,9050,9053,9068,9075,9117,9160,9161,9179,9180,9194,9311,9317,9321,9341,9352,9375,9377,9380,9386,9388,9389,9399,9400,9419,9425,9435,9442,9484,9502,9557,9558,9564,9603,9626,9631,9670,9680,9683,9684,9686,9687,9699,9722,9737,9746,9747,9749,9751,9780,9901,9902,9952,9953,9992,10027,10139,10208,10279,10362,10381,10386,3,2879,2880,2881,2883,2884,2897,2899,2903,2904,2905,2908,2909,2913,2914,2915,2922,2923,2924,2925,2928,2929,2930,2933,2934,2935,2943,2944,2945,2946,2947,2948,2949,2950,2952,2953,2955,2956,2957,2959,2960,2961,2962,2964,2965,2968,2974,2975,2976,2977,2978,2993,2994,2996,2998,3010,3011,3012,3013,3014,3015,3016,3030,3032,3064,3067,3072,3073,3074,3075,3077,3078,3088,3091,3092,3093,3094,3095,3096,3103,3104,3118,3119,3140,5528,5567,5714,5715,5716,5797,5895,5925,5959,5975,5977,5983,6045,6046,6047,6048,6056,6091,6223,6260,6270,6294,6328,6365,6512,6517,6554,6555,6577,6579,6581,6588,6589,6590,6591,6592,6593,6594,6595,6675,6744,6745,6832,6867,6868,6907,6908,7046,7060,7130,7131,7137,7158,7189,7191,7195,7239,7259,7260,7278,7279,7316,7361,7362,7458,7529,7530,7531,7532,7549,7582,7632,7633,7642,7647,7648,7659,7690,7691,7692,7693,7832,7834,7835,7836,7842,7843,8047,8053,8054,8064,8102,8103,8180,8221,8275,8297,8298,8370,8465,8537,8538,8542,8575,8637,8638,8705,8723,8724,8725,8726,8876,9136,9137,9208,9222,9275,9276,9396,9428,9454,9486,9527,9720,9843,9987,10177,10233,10235,6658,6659,6747,6767,6768,7180,7397,8718,8797,9044,9233,9234,9302,9303,9481,9575,9576,9577,9578,9783,10051,10065,10442,10443,6729,8629,8630,9100,9118,10052,10441,4864,4896,4897,4900,4948,4952,4957,4998,5095,5142,5143,5174,5233,5236,5295,5427,5466,5467,5469,5476,5477,5501,5544,5575,5597,5730,5802,5803,5804,5921])). % 209.50/209.74 cnf(13611,plain, % 209.50/209.74 (P106(f335(f335(f244(a1),f2(a1)),f335(f81(a1),f84(a1))))), % 209.50/209.74 inference(scs_inference,[],[4808,4215,12794,12816,12990,12992,12994,3786,11415,12470,12567,12570,12662,12704,12708,12716,12788,12949,12951,13361,13367,13372,13376,13382,13385,13409,13509,13514,3795,12534,13016,13018,3803,3519,12962,12964,12966,3520,13010,3486,12870,4748,4749,12058,4491,13022,3523,13003,3356,3418,12927,3419,12968,3420,3421,3422,12744,12931,4747,3849,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,11967,12257,12285,12297,12326,12332,12424,12530,12697,12758,12900,13430,3605,3568,12958,3754,12229,3470,4725,10723,10823,11295,11395,13121,13450,3156,3157,3159,3160,3162,3163,3166,3167,3168,3171,3175,3176,3177,3178,3182,3183,3184,3187,3188,3191,3193,3194,3203,3209,3215,3218,3227,3231,3233,3242,3243,3248,3252,3253,3262,3268,3269,3272,3280,3283,3299,3300,3302,3307,3311,3312,3315,3316,3317,3318,3322,3334,4708,3338,3417,4709,3888,4118,11998,3392,11710,3531,3507,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,11993,12442,12638,12848,12902,12910,12917,12919,12921,12923,12925,12947,12999,13001,13238,13400,13513,13518,13534,3481,12729,12733,12737,3487,3496,4010,4318,3464,13296,3616,12791,12873,3381,3382,3748,4104,11756,3604,13029,3447,3378,3408,3868,3403,3602,4224,4112,3931,4671,3390,3391,3362,3368,4023,3428,3606,11138,11265,12531,12748,3480,4189,4738,10553,10720,11606,12689,12730,12734,4745,12701,3540,12078,12081,13330,13420,13479,13483,13487,13491,4147,4785,11321,11420,11665,11668,3950,3537,3653,3874,3645,4763,3620,12906,12908,12984,3444,3445,10623,10953,4772,3707,3436,3359,3466,11746,4332,12719,12860,4191,11341,11476,11537,12673,12679,12805,12808,12838,4803,11240,11489,11600,11626,11673,11679,12617,4804,11374,11492,11603,4805,11495,11548,4806,11555,4807,3465,3746,12573,12614,12700,3915,3695,4605,4606,3730,3767,4736,11739,3892,3850,3894,4067,3818,13221,13225,13229,13233,13243,4114,12564,3732,3993,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,12253,12319,12395,12433,12508,12511,12842,13104,13143,13146,13204,13429,13434,4003,11984,3533,3629,11815,12093,13533,3813,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,12168,12371,12374,12454,12620,12723,13050,13069,13072,13096,13147,13312,13317,13337,13342,4791,11858,11889,11924,11931,11964,13156,13160,3990,3755,3756,12274,13075,13078,13081,13084,13114,13117,13461,13465,13469,4139,3720,13462,3721,13466,3576,3578,3552,4775,3443,4733,3941,4254,3739,4792,4325,11623,3873,3589,12099,12102,12538,12642,12819,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,12165,4294,4253,12246,12588,4200,11135,12427,12598,12747,13482,4243,13486,4248,11344,12467,12537,12597,12641,13333,13453,4249,3916,11935,12256,12402,12475,12521,4282,3933,10686,10783,11347,11425,11510,11574,12423,12489,12753,12815,12835,12845,13303,13366,13371,13391,13412,4795,11086,11500,12601,13379,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,12226,12284,12300,12303,12306,12309,12482,12496,12499,12502,12505,12581,12645,12764,12811,13097,13120,13196,13207,13212,13215,13218,13251,13262,13323,13348,13351,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,12232,12243,12262,12267,12312,12335,12352,13111,13255,13275,13313,13318,13338,13343,3551,3625,12459,13176,13222,13226,13230,13234,13244,13248,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,12209,12296,12315,12318,12331,12383,12386,12389,12392,12549,12552,12648,12651,12757,12797,12882,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,12061,12696,12885,13295,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,12108,12377,12380,12414,12460,12485,12626,12670,12676,12776,12779,12801,12859,12865,12876,12894,13175,13188,13191,13284,13404,13423,13426,13458,13478,13512,3610,10950,10980,10989,10992,10995,11592,12798,12812,13157,13161,13164,3649,13443,13504,3642,4071,4008,10602,11987,12015,13138,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,12197,12453,13354,3570,10983,11143,11213,12016,12158,12357,12557,12582,13185,13446,13532,4033,12105,13091,4373,3761,4781,4045,4079,4766,4769,4770,3526,3530,4768,4767,4542,3863,11980,4469,11841,4797,10849,10852,4802,11330,11333,11525,11636,11656,11702,4157,11699,12036,12040,12707,12715,12804,13299,13360,3998,11256,11262,11282,12281,12407,12488,12772,3847,11400,11528,12514,12623,12633,12712,12767,12775,12891,13306,4330,4000,10986,11363,11534,11568,11579,12711,12761,13396,3703,3814,10902,10905,10998,11169,3816,4800,11981,4796,13059,4801,10742,10855,11645,12576,12585,12629,12829,4430,11126,12594,12609,12632,4336,4032,12897,3976,3977,4798,10575,10578,10944,10947,11855,12041,12841,4799,11961,12046,4001,10908,11175,13433,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228,6239,6240,6271,6272,6276,6297,6300,6303,6324,6325,6353,6356,6364,6373,6375,6383,6387,6395,6396,6397,6398,6428,6445,6496,6533,6535,6556,6557,6564,6568,6569,6572,6586,6601,6622,6623,6626,6629,6638,6653,6674,6680,6682,6697,6698,6701,6702,6704,6706,6707,6708,6710,6712,6714,6720,6721,6723,6724,6730,6732,6774,6780,6796,6798,6799,6800,6833,6838,6840,6845,6846,6856,6860,6872,6895,6896,6898,6899,6910,6914,6917,6935,6938,6958,6987,6988,6989,6995,7009,7028,7030,7032,7034,7039,7045,7047,7061,7066,7067,7102,7103,7104,7118,7119,7121,7122,7140,7142,7157,7183,7207,7218,7220,7222,7224,7225,7256,7257,7261,7262,7269,7270,7272,7274,7296,7305,7306,7317,7327,7367,7377,7381,7388,7399,7404,7406,7413,7421,7434,7451,7472,7474,7493,7550,7551,7552,7554,7556,7560,7561,7566,7627,7656,7671,7687,7718,7721,7743,7765,7783,7786,7787,7797,7817,7819,7821,7823,7824,7825,7850,7876,7877,7908,7910,7911,7912,7917,7938,7955,7960,7966,7968,7976,7988,7989,7991,8012,8018,8039,8105,8106,8107,8154,8160,8161,8185,8186,8203,8204,8205,8262,8263,8292,8322,8331,8342,8355,8384,8388,8394,8406,8424,8429,8451,8497,8527,8541,8560,8563,8589,8615,8673,8674,8677,8678,8747,8781,8782,8783,8784,8811,8843,8872,8880,8881,8922,8943,8988,9004,9050,9053,9068,9075,9117,9160,9161,9179,9180,9194,9311,9317,9321,9341,9352,9375,9377,9380,9386,9388,9389,9399,9400,9419,9425,9435,9442,9484,9502,9557,9558,9564,9603,9626,9631,9670,9680,9683,9684,9686,9687,9699,9722,9737,9746,9747,9749,9751,9780,9901,9902,9952,9953,9992,10027,10139,10208,10279,10362,10381,10386,3,2879,2880,2881,2883,2884,2897,2899,2903,2904,2905,2908,2909,2913,2914,2915,2922,2923,2924,2925,2928,2929,2930,2933,2934,2935,2943,2944,2945,2946,2947,2948,2949,2950,2952,2953,2955,2956,2957,2959,2960,2961,2962,2964,2965,2968,2974,2975,2976,2977,2978,2993,2994,2996,2998,3010,3011,3012,3013,3014,3015,3016,3030,3032,3064,3067,3072,3073,3074,3075,3077,3078,3088,3091,3092,3093,3094,3095,3096,3103,3104,3118,3119,3140,5528,5567,5714,5715,5716,5797,5895,5925,5959,5975,5977,5983,6045,6046,6047,6048,6056,6091,6223,6260,6270,6294,6328,6365,6512,6517,6554,6555,6577,6579,6581,6588,6589,6590,6591,6592,6593,6594,6595,6675,6744,6745,6832,6867,6868,6907,6908,7046,7060,7130,7131,7137,7158,7189,7191,7195,7239,7259,7260,7278,7279,7316,7361,7362,7458,7529,7530,7531,7532,7549,7582,7632,7633,7642,7647,7648,7659,7690,7691,7692,7693,7832,7834,7835,7836,7842,7843,8047,8053,8054,8064,8102,8103,8180,8221,8275,8297,8298,8370,8465,8537,8538,8542,8575,8637,8638,8705,8723,8724,8725,8726,8876,9136,9137,9208,9222,9275,9276,9396,9428,9454,9486,9527,9720,9843,9987,10177,10233,10235,6658,6659,6747,6767,6768,7180,7397,8718,8797,9044,9233,9234,9302,9303,9481,9575,9576,9577,9578,9783,10051,10065,10442,10443,6729,8629,8630,9100,9118,10052,10441,4864,4896,4897,4900,4948,4952,4957,4998,5095,5142,5143,5174,5233,5236,5295,5427,5466,5467,5469,5476,5477,5501,5544,5575,5597,5730,5802,5803,5804,5921,5922])). % 209.50/209.74 cnf(13633,plain, % 209.50/209.74 (~P106(f335(f66(x136331),f42(f934(x136331,a922),f250(f934(f934(x136331,a922),a922)))))), % 209.50/209.74 inference(scs_inference,[],[4808,4215,12794,12816,12990,12992,12994,3786,11415,12470,12567,12570,12662,12704,12708,12716,12788,12949,12951,13361,13367,13372,13376,13382,13385,13409,13509,13514,3795,12534,13016,13018,3803,3519,12962,12964,12966,3520,13010,3486,12870,4748,4749,12058,4491,13022,3523,13003,3356,3418,12927,3419,12968,3420,3421,3422,12744,12931,4747,3849,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,11967,12257,12285,12297,12326,12332,12424,12530,12697,12758,12900,13430,3605,3568,12958,3754,12229,3470,4725,10723,10823,11295,11395,13121,13450,3156,3157,3159,3160,3162,3163,3166,3167,3168,3171,3175,3176,3177,3178,3182,3183,3184,3187,3188,3191,3193,3194,3203,3209,3215,3218,3227,3231,3233,3242,3243,3248,3252,3253,3262,3268,3269,3272,3280,3283,3299,3300,3302,3307,3311,3312,3315,3316,3317,3318,3322,3334,4708,3338,3417,4709,3888,4118,11998,3392,11710,3531,3507,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,11993,12442,12638,12848,12902,12910,12917,12919,12921,12923,12925,12947,12999,13001,13238,13400,13513,13518,13534,3481,12729,12733,12737,3487,3496,4010,4318,3464,13296,3616,12791,12873,3381,3382,3748,4104,11756,3604,13029,3447,3378,3408,3868,3403,3602,4224,4112,3931,4671,3390,3391,3362,3368,4023,3428,3606,11138,11265,12531,12748,3480,4189,4738,10553,10720,11606,12689,12730,12734,4745,12701,3540,12078,12081,13330,13420,13479,13483,13487,13491,4147,4785,11321,11420,11665,11668,3950,3537,3653,3874,3645,4763,3620,12906,12908,12984,3444,3445,10623,10953,4772,3707,3436,3359,3466,11746,4332,12719,12860,4191,11341,11476,11537,12673,12679,12805,12808,12838,4803,11240,11489,11600,11626,11673,11679,12617,4804,11374,11492,11603,4805,11495,11548,4806,11555,4807,3465,3746,12573,12614,12700,3915,3695,4605,4606,3730,3767,4736,11739,3892,3850,3894,4067,3818,13221,13225,13229,13233,13243,4114,12564,3732,3993,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,12253,12319,12395,12433,12508,12511,12842,13104,13143,13146,13204,13429,13434,4003,11984,3533,3629,11815,12093,13533,3813,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,12168,12371,12374,12454,12620,12723,13050,13069,13072,13096,13147,13312,13317,13337,13342,4791,11858,11889,11924,11931,11964,13156,13160,3990,3755,3756,12274,13075,13078,13081,13084,13114,13117,13461,13465,13469,4139,3720,13462,3721,13466,3576,3578,3552,4775,3443,4733,3941,4254,3739,4792,4325,11623,3873,3589,12099,12102,12538,12642,12819,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,12165,4294,4253,12246,12588,4200,11135,12427,12598,12747,13482,4243,13486,4248,11344,12467,12537,12597,12641,13333,13453,4249,3916,11935,12256,12402,12475,12521,4282,3933,10686,10783,11347,11425,11510,11574,12423,12489,12753,12815,12835,12845,13303,13366,13371,13391,13412,4795,11086,11500,12601,13379,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,12226,12284,12300,12303,12306,12309,12482,12496,12499,12502,12505,12581,12645,12764,12811,13097,13120,13196,13207,13212,13215,13218,13251,13262,13323,13348,13351,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,12232,12243,12262,12267,12312,12335,12352,13111,13255,13275,13313,13318,13338,13343,3551,3625,12459,13176,13222,13226,13230,13234,13244,13248,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,12209,12296,12315,12318,12331,12383,12386,12389,12392,12549,12552,12648,12651,12757,12797,12882,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,12061,12696,12885,13295,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,12108,12377,12380,12414,12460,12485,12626,12670,12676,12776,12779,12801,12859,12865,12876,12894,13175,13188,13191,13284,13404,13423,13426,13458,13478,13512,3610,10950,10980,10989,10992,10995,11592,12798,12812,13157,13161,13164,3649,13443,13504,3642,4071,4008,10602,11987,12015,13138,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,12197,12453,13354,3570,10983,11143,11213,12016,12158,12357,12557,12582,13185,13446,13532,4033,12105,13091,4373,3761,4781,4045,4079,4766,4769,4770,3526,3530,4768,4767,4542,3863,11980,4469,11841,4797,10849,10852,4802,11330,11333,11525,11636,11656,11702,4157,11699,12036,12040,12707,12715,12804,13299,13360,3998,11256,11262,11282,12281,12407,12488,12772,3847,11400,11528,12514,12623,12633,12712,12767,12775,12891,13306,4330,4000,10986,11363,11534,11568,11579,12711,12761,13396,3703,3814,10902,10905,10998,11169,3816,4800,11981,4796,13059,4801,10742,10855,11645,12576,12585,12629,12829,4430,11126,12594,12609,12632,4336,4032,12897,3976,3977,4798,10575,10578,10944,10947,11855,12041,12841,4799,11961,12046,4001,10908,11175,13433,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228,6239,6240,6271,6272,6276,6297,6300,6303,6324,6325,6353,6356,6364,6373,6375,6383,6387,6395,6396,6397,6398,6428,6445,6496,6533,6535,6556,6557,6564,6568,6569,6572,6586,6601,6622,6623,6626,6629,6638,6653,6674,6680,6682,6697,6698,6701,6702,6704,6706,6707,6708,6710,6712,6714,6720,6721,6723,6724,6730,6732,6774,6780,6796,6798,6799,6800,6833,6838,6840,6845,6846,6856,6860,6872,6895,6896,6898,6899,6910,6914,6917,6935,6938,6958,6987,6988,6989,6995,7009,7028,7030,7032,7034,7039,7045,7047,7061,7066,7067,7102,7103,7104,7118,7119,7121,7122,7140,7142,7157,7183,7207,7218,7220,7222,7224,7225,7256,7257,7261,7262,7269,7270,7272,7274,7296,7305,7306,7317,7327,7367,7377,7381,7388,7399,7404,7406,7413,7421,7434,7451,7472,7474,7493,7550,7551,7552,7554,7556,7560,7561,7566,7627,7656,7671,7687,7718,7721,7743,7765,7783,7786,7787,7797,7817,7819,7821,7823,7824,7825,7850,7876,7877,7908,7910,7911,7912,7917,7938,7955,7960,7966,7968,7976,7988,7989,7991,8012,8018,8039,8105,8106,8107,8154,8160,8161,8185,8186,8203,8204,8205,8262,8263,8292,8322,8331,8342,8355,8384,8388,8394,8406,8424,8429,8451,8497,8527,8541,8560,8563,8589,8615,8673,8674,8677,8678,8747,8781,8782,8783,8784,8811,8843,8872,8880,8881,8922,8943,8988,9004,9050,9053,9068,9075,9117,9160,9161,9179,9180,9194,9311,9317,9321,9341,9352,9375,9377,9380,9386,9388,9389,9399,9400,9419,9425,9435,9442,9484,9502,9557,9558,9564,9603,9626,9631,9670,9680,9683,9684,9686,9687,9699,9722,9737,9746,9747,9749,9751,9780,9901,9902,9952,9953,9992,10027,10139,10208,10279,10362,10381,10386,3,2879,2880,2881,2883,2884,2897,2899,2903,2904,2905,2908,2909,2913,2914,2915,2922,2923,2924,2925,2928,2929,2930,2933,2934,2935,2943,2944,2945,2946,2947,2948,2949,2950,2952,2953,2955,2956,2957,2959,2960,2961,2962,2964,2965,2968,2974,2975,2976,2977,2978,2993,2994,2996,2998,3010,3011,3012,3013,3014,3015,3016,3030,3032,3064,3067,3072,3073,3074,3075,3077,3078,3088,3091,3092,3093,3094,3095,3096,3103,3104,3118,3119,3140,5528,5567,5714,5715,5716,5797,5895,5925,5959,5975,5977,5983,6045,6046,6047,6048,6056,6091,6223,6260,6270,6294,6328,6365,6512,6517,6554,6555,6577,6579,6581,6588,6589,6590,6591,6592,6593,6594,6595,6675,6744,6745,6832,6867,6868,6907,6908,7046,7060,7130,7131,7137,7158,7189,7191,7195,7239,7259,7260,7278,7279,7316,7361,7362,7458,7529,7530,7531,7532,7549,7582,7632,7633,7642,7647,7648,7659,7690,7691,7692,7693,7832,7834,7835,7836,7842,7843,8047,8053,8054,8064,8102,8103,8180,8221,8275,8297,8298,8370,8465,8537,8538,8542,8575,8637,8638,8705,8723,8724,8725,8726,8876,9136,9137,9208,9222,9275,9276,9396,9428,9454,9486,9527,9720,9843,9987,10177,10233,10235,6658,6659,6747,6767,6768,7180,7397,8718,8797,9044,9233,9234,9302,9303,9481,9575,9576,9577,9578,9783,10051,10065,10442,10443,6729,8629,8630,9100,9118,10052,10441,4864,4896,4897,4900,4948,4952,4957,4998,5095,5142,5143,5174,5233,5236,5295,5427,5466,5467,5469,5476,5477,5501,5544,5575,5597,5730,5802,5803,5804,5921,5922,5948,5952,6011,6013,6022,6028,6107,6187,6335,6391,6499])). % 209.50/209.74 cnf(13663,plain, % 209.50/209.74 (~P106(f335(f335(f243(f934(a1,a922)),f335(f318(a927,a1,f107(a1)),f311(a927,f2(a927),f2(a927)))),f335(f318(a927,a1,f107(a1)),f311(a927,f335(a119,f2(a927)),x136631))))), % 209.50/209.74 inference(scs_inference,[],[4808,4215,12794,12816,12990,12992,12994,3786,11415,12470,12567,12570,12662,12704,12708,12716,12788,12949,12951,13361,13367,13372,13376,13382,13385,13409,13509,13514,3795,12534,13016,13018,3803,3519,12962,12964,12966,3520,13010,3486,12870,4748,4749,12058,4491,13022,3523,13003,3356,3418,12927,3419,12968,3420,3421,3422,12744,12931,4747,3849,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,11967,12257,12285,12297,12326,12332,12424,12530,12697,12758,12900,13430,3605,3568,12958,3754,12229,3470,4725,10723,10823,11295,11395,13121,13450,3156,3157,3159,3160,3162,3163,3166,3167,3168,3171,3175,3176,3177,3178,3182,3183,3184,3187,3188,3191,3193,3194,3203,3209,3215,3218,3227,3231,3233,3242,3243,3248,3252,3253,3262,3268,3269,3272,3280,3283,3299,3300,3302,3307,3311,3312,3315,3316,3317,3318,3322,3334,4708,3338,3417,4709,3888,4118,11998,3392,11710,3531,3507,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,11993,12442,12638,12848,12902,12910,12917,12919,12921,12923,12925,12947,12999,13001,13238,13400,13513,13518,13534,3481,12729,12733,12737,3487,3496,4010,4318,3464,13296,3616,12791,12873,3381,3382,3748,4104,11756,3604,13029,3447,3378,3408,3868,3403,3602,4224,4112,3931,4671,3390,3391,3362,3368,4023,3428,3606,11138,11265,12531,12748,3480,4189,4738,10553,10720,11606,12689,12730,12734,4745,12701,3540,12078,12081,13330,13420,13479,13483,13487,13491,4147,4785,11321,11420,11665,11668,3950,3537,3653,3874,3645,4763,3620,12906,12908,12984,3444,3445,10623,10953,4772,3707,3436,3359,3466,11746,4332,12719,12860,4191,11341,11476,11537,12673,12679,12805,12808,12838,4803,11240,11489,11600,11626,11673,11679,12617,4804,11374,11492,11603,4805,11495,11548,4806,11555,4807,3465,3746,12573,12614,12700,3915,3695,4605,4606,3730,3767,4736,11739,3892,3850,3894,4067,3818,13221,13225,13229,13233,13243,4114,12564,3732,3993,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,12253,12319,12395,12433,12508,12511,12842,13104,13143,13146,13204,13429,13434,4003,11984,3533,3629,11815,12093,13533,3813,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,12168,12371,12374,12454,12620,12723,13050,13069,13072,13096,13147,13312,13317,13337,13342,4791,11858,11889,11924,11931,11964,13156,13160,3990,3755,3756,12274,13075,13078,13081,13084,13114,13117,13461,13465,13469,4139,3720,13462,3721,13466,3576,3578,3552,4775,3443,4733,3941,4254,3739,4792,4325,11623,3873,3589,12099,12102,12538,12642,12819,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,12165,4294,4253,12246,12588,4200,11135,12427,12598,12747,13482,4243,13486,4248,11344,12467,12537,12597,12641,13333,13453,4249,3916,11935,12256,12402,12475,12521,4282,3933,10686,10783,11347,11425,11510,11574,12423,12489,12753,12815,12835,12845,13303,13366,13371,13391,13412,4795,11086,11500,12601,13379,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,12226,12284,12300,12303,12306,12309,12482,12496,12499,12502,12505,12581,12645,12764,12811,13097,13120,13196,13207,13212,13215,13218,13251,13262,13323,13348,13351,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,12232,12243,12262,12267,12312,12335,12352,13111,13255,13275,13313,13318,13338,13343,3551,3625,12459,13176,13222,13226,13230,13234,13244,13248,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,12209,12296,12315,12318,12331,12383,12386,12389,12392,12549,12552,12648,12651,12757,12797,12882,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,12061,12696,12885,13295,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,12108,12377,12380,12414,12460,12485,12626,12670,12676,12776,12779,12801,12859,12865,12876,12894,13175,13188,13191,13284,13404,13423,13426,13458,13478,13512,3610,10950,10980,10989,10992,10995,11592,12798,12812,13157,13161,13164,3649,13443,13504,3642,4071,4008,10602,11987,12015,13138,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,12197,12453,13354,3570,10983,11143,11213,12016,12158,12357,12557,12582,13185,13446,13532,4033,12105,13091,4373,3761,4781,4045,4079,4766,4769,4770,3526,3530,4768,4767,4542,3863,11980,4469,11841,4797,10849,10852,4802,11330,11333,11525,11636,11656,11702,4157,11699,12036,12040,12707,12715,12804,13299,13360,3998,11256,11262,11282,12281,12407,12488,12772,3847,11400,11528,12514,12623,12633,12712,12767,12775,12891,13306,4330,4000,10986,11363,11534,11568,11579,12711,12761,13396,3703,3814,10902,10905,10998,11169,3816,4800,11981,4796,13059,4801,10742,10855,11645,12576,12585,12629,12829,4430,11126,12594,12609,12632,4336,4032,12897,3976,3977,4798,10575,10578,10944,10947,11855,12041,12841,4799,11961,12046,4001,10908,11175,13433,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228,6239,6240,6271,6272,6276,6297,6300,6303,6324,6325,6353,6356,6364,6373,6375,6383,6387,6395,6396,6397,6398,6428,6445,6496,6533,6535,6556,6557,6564,6568,6569,6572,6586,6601,6622,6623,6626,6629,6638,6653,6674,6680,6682,6697,6698,6701,6702,6704,6706,6707,6708,6710,6712,6714,6720,6721,6723,6724,6730,6732,6774,6780,6796,6798,6799,6800,6833,6838,6840,6845,6846,6856,6860,6872,6895,6896,6898,6899,6910,6914,6917,6935,6938,6958,6987,6988,6989,6995,7009,7028,7030,7032,7034,7039,7045,7047,7061,7066,7067,7102,7103,7104,7118,7119,7121,7122,7140,7142,7157,7183,7207,7218,7220,7222,7224,7225,7256,7257,7261,7262,7269,7270,7272,7274,7296,7305,7306,7317,7327,7367,7377,7381,7388,7399,7404,7406,7413,7421,7434,7451,7472,7474,7493,7550,7551,7552,7554,7556,7560,7561,7566,7627,7656,7671,7687,7718,7721,7743,7765,7783,7786,7787,7797,7817,7819,7821,7823,7824,7825,7850,7876,7877,7908,7910,7911,7912,7917,7938,7955,7960,7966,7968,7976,7988,7989,7991,8012,8018,8039,8105,8106,8107,8154,8160,8161,8185,8186,8203,8204,8205,8262,8263,8292,8322,8331,8342,8355,8384,8388,8394,8406,8424,8429,8451,8497,8527,8541,8560,8563,8589,8615,8673,8674,8677,8678,8747,8781,8782,8783,8784,8811,8843,8872,8880,8881,8922,8943,8988,9004,9050,9053,9068,9075,9117,9160,9161,9179,9180,9194,9311,9317,9321,9341,9352,9375,9377,9380,9386,9388,9389,9399,9400,9419,9425,9435,9442,9484,9502,9557,9558,9564,9603,9626,9631,9670,9680,9683,9684,9686,9687,9699,9722,9737,9746,9747,9749,9751,9780,9901,9902,9952,9953,9992,10027,10139,10208,10279,10362,10381,10386,3,2879,2880,2881,2883,2884,2897,2899,2903,2904,2905,2908,2909,2913,2914,2915,2922,2923,2924,2925,2928,2929,2930,2933,2934,2935,2943,2944,2945,2946,2947,2948,2949,2950,2952,2953,2955,2956,2957,2959,2960,2961,2962,2964,2965,2968,2974,2975,2976,2977,2978,2993,2994,2996,2998,3010,3011,3012,3013,3014,3015,3016,3030,3032,3064,3067,3072,3073,3074,3075,3077,3078,3088,3091,3092,3093,3094,3095,3096,3103,3104,3118,3119,3140,5528,5567,5714,5715,5716,5797,5895,5925,5959,5975,5977,5983,6045,6046,6047,6048,6056,6091,6223,6260,6270,6294,6328,6365,6512,6517,6554,6555,6577,6579,6581,6588,6589,6590,6591,6592,6593,6594,6595,6675,6744,6745,6832,6867,6868,6907,6908,7046,7060,7130,7131,7137,7158,7189,7191,7195,7239,7259,7260,7278,7279,7316,7361,7362,7458,7529,7530,7531,7532,7549,7582,7632,7633,7642,7647,7648,7659,7690,7691,7692,7693,7832,7834,7835,7836,7842,7843,8047,8053,8054,8064,8102,8103,8180,8221,8275,8297,8298,8370,8465,8537,8538,8542,8575,8637,8638,8705,8723,8724,8725,8726,8876,9136,9137,9208,9222,9275,9276,9396,9428,9454,9486,9527,9720,9843,9987,10177,10233,10235,6658,6659,6747,6767,6768,7180,7397,8718,8797,9044,9233,9234,9302,9303,9481,9575,9576,9577,9578,9783,10051,10065,10442,10443,6729,8629,8630,9100,9118,10052,10441,4864,4896,4897,4900,4948,4952,4957,4998,5095,5142,5143,5174,5233,5236,5295,5427,5466,5467,5469,5476,5477,5501,5544,5575,5597,5730,5802,5803,5804,5921,5922,5948,5952,6011,6013,6022,6028,6107,6187,6335,6391,6499,6621,6778,6982,7234,7402,7634,7697,8025,8027,8272,8278,8969,9098,9205,9305])). % 209.50/209.74 cnf(13683,plain, % 209.50/209.74 (~P106(f335(f335(f243(a927),f335(a119,f335(f149(a927,a927,f86(a927),f2(a927)),f176(a927,f335(a119,f2(a927)),f335(a119,f2(a927)))))),f335(a119,f2(a927))))), % 209.50/209.74 inference(scs_inference,[],[4808,4215,12794,12816,12990,12992,12994,3786,11415,12470,12567,12570,12662,12704,12708,12716,12788,12949,12951,13361,13367,13372,13376,13382,13385,13409,13509,13514,3795,12534,13016,13018,3803,3519,12962,12964,12966,3520,13010,3486,12870,4748,4749,12058,4491,13022,3523,13003,3356,3418,12927,3419,12968,3420,3421,3422,12744,12931,4747,3849,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,11967,12257,12285,12297,12326,12332,12424,12530,12697,12758,12900,13430,3605,3568,12958,3754,12229,3470,4725,10723,10823,11295,11395,13121,13450,3156,3157,3159,3160,3162,3163,3166,3167,3168,3171,3175,3176,3177,3178,3182,3183,3184,3187,3188,3191,3193,3194,3203,3209,3215,3218,3227,3231,3233,3242,3243,3248,3252,3253,3262,3268,3269,3272,3280,3283,3299,3300,3302,3307,3311,3312,3315,3316,3317,3318,3322,3334,4708,3338,3417,4709,3888,4118,11998,3392,11710,3531,3507,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,11993,12442,12638,12848,12902,12910,12917,12919,12921,12923,12925,12947,12999,13001,13238,13400,13513,13518,13534,3481,12729,12733,12737,3487,3496,4010,4318,3464,13296,3616,12791,12873,3381,3382,3748,4104,11756,3604,13029,3447,3919,3378,3408,3868,3403,3602,4224,4112,3931,4671,3390,3391,3362,3368,4023,3428,3606,11138,11265,12531,12748,3480,4189,4738,10553,10720,11606,12689,12730,12734,4745,12701,3540,12078,12081,13330,13420,13479,13483,13487,13491,4147,4785,11321,11420,11665,11668,3950,3537,3653,3874,3645,4763,3620,12906,12908,12984,3444,3445,10623,10953,4772,3707,3436,3359,3466,11746,4332,12719,12860,4191,11341,11476,11537,12673,12679,12805,12808,12838,4803,11240,11489,11600,11626,11673,11679,12617,4804,11374,11492,11603,11676,4805,11495,11548,4806,11555,4807,3465,3746,12573,12614,12700,3915,3695,4605,4606,3730,3767,4736,11739,3892,3850,3894,4067,3818,13221,13225,13229,13233,13243,4114,12564,3732,3993,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,12253,12319,12395,12433,12508,12511,12842,13104,13143,13146,13204,13429,13434,4003,11984,3533,3629,11815,12093,13533,3813,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,12168,12371,12374,12454,12620,12723,13050,13069,13072,13096,13147,13312,13317,13337,13342,4791,11858,11889,11924,11931,11964,13156,13160,3990,3755,3756,12274,13075,13078,13081,13084,13114,13117,13461,13465,13469,13473,4139,3720,13462,3721,13466,3576,3578,3552,4775,3443,4733,3941,4254,3739,4792,4325,11623,3873,3589,12099,12102,12538,12642,12819,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,12165,4294,4253,12246,12588,4200,11135,12427,12598,12747,13482,4243,13486,4248,11344,12467,12537,12597,12641,13333,13453,4249,3916,11935,12256,12402,12475,12521,4282,3933,10686,10783,11347,11425,11510,11574,12423,12489,12753,12815,12835,12845,13303,13366,13371,13391,13412,4795,11086,11500,12601,13379,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,12226,12284,12300,12303,12306,12309,12482,12496,12499,12502,12505,12581,12645,12764,12811,13097,13120,13196,13207,13212,13215,13218,13251,13262,13323,13348,13351,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,12232,12243,12262,12267,12312,12335,12352,13111,13255,13275,13313,13318,13338,13343,3551,3625,12459,13176,13222,13226,13230,13234,13244,13248,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,12209,12296,12315,12318,12331,12383,12386,12389,12392,12549,12552,12648,12651,12757,12797,12882,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,12061,12696,12885,13295,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,12108,12377,12380,12414,12460,12485,12626,12670,12676,12776,12779,12801,12859,12865,12876,12894,13175,13188,13191,13284,13404,13423,13426,13458,13478,13512,3610,10950,10980,10989,10992,10995,11592,12798,12812,13157,13161,13164,3649,13443,13504,3642,4071,4008,10602,11987,12015,13138,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,12197,12453,13354,3570,10983,11143,11213,12016,12158,12357,12557,12582,13185,13446,13532,4033,12105,13091,4373,3761,4781,4045,4079,4766,4769,4770,3526,3530,4768,4767,4542,3863,11980,4469,11841,4797,10849,10852,4802,11330,11333,11525,11636,11656,11702,4157,11699,12036,12040,12707,12715,12804,13299,13360,3998,11256,11262,11282,12281,12407,12488,12772,3847,11400,11528,12514,12623,12633,12712,12767,12775,12891,13306,4330,4000,10986,11363,11534,11568,11579,12711,12761,13396,3703,3814,10902,10905,10998,11169,3816,4800,11981,4796,13059,4801,10742,10855,11645,12576,12585,12629,12829,12832,4430,11126,12594,12609,12632,4336,4032,12897,3976,3977,4798,10575,10578,10944,10947,11855,12041,12841,4799,11961,12046,4001,10908,11175,13433,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228,6239,6240,6271,6272,6276,6297,6300,6303,6324,6325,6353,6356,6364,6373,6375,6383,6387,6395,6396,6397,6398,6428,6445,6496,6533,6535,6556,6557,6564,6568,6569,6572,6586,6601,6622,6623,6626,6629,6638,6653,6674,6680,6682,6697,6698,6701,6702,6704,6706,6707,6708,6710,6712,6714,6720,6721,6723,6724,6730,6732,6774,6780,6796,6798,6799,6800,6833,6838,6840,6845,6846,6856,6860,6872,6895,6896,6898,6899,6910,6914,6917,6935,6938,6958,6987,6988,6989,6995,7009,7028,7030,7032,7034,7039,7045,7047,7061,7066,7067,7102,7103,7104,7118,7119,7121,7122,7140,7142,7157,7183,7207,7218,7220,7222,7224,7225,7256,7257,7261,7262,7269,7270,7272,7274,7296,7305,7306,7317,7327,7367,7377,7381,7388,7399,7404,7406,7413,7421,7434,7451,7472,7474,7493,7550,7551,7552,7554,7556,7560,7561,7566,7627,7656,7671,7687,7718,7721,7743,7765,7783,7786,7787,7797,7817,7819,7821,7823,7824,7825,7850,7876,7877,7908,7910,7911,7912,7917,7938,7955,7960,7966,7968,7976,7988,7989,7991,8012,8018,8039,8105,8106,8107,8154,8160,8161,8185,8186,8203,8204,8205,8262,8263,8292,8322,8331,8342,8355,8384,8388,8394,8406,8424,8429,8451,8497,8527,8541,8560,8563,8589,8615,8673,8674,8677,8678,8747,8781,8782,8783,8784,8811,8843,8872,8880,8881,8922,8943,8988,9004,9050,9053,9068,9075,9117,9160,9161,9179,9180,9194,9311,9317,9321,9341,9352,9375,9377,9380,9386,9388,9389,9399,9400,9419,9425,9435,9442,9484,9502,9557,9558,9564,9603,9626,9631,9670,9680,9683,9684,9686,9687,9699,9722,9737,9746,9747,9749,9751,9780,9901,9902,9952,9953,9992,10027,10139,10208,10279,10362,10381,10386,3,2879,2880,2881,2883,2884,2897,2899,2903,2904,2905,2908,2909,2913,2914,2915,2922,2923,2924,2925,2928,2929,2930,2933,2934,2935,2943,2944,2945,2946,2947,2948,2949,2950,2952,2953,2955,2956,2957,2959,2960,2961,2962,2964,2965,2968,2974,2975,2976,2977,2978,2993,2994,2996,2998,3010,3011,3012,3013,3014,3015,3016,3030,3032,3064,3067,3072,3073,3074,3075,3077,3078,3088,3091,3092,3093,3094,3095,3096,3103,3104,3118,3119,3140,5528,5567,5714,5715,5716,5797,5895,5925,5959,5975,5977,5983,6045,6046,6047,6048,6056,6091,6223,6260,6270,6294,6328,6365,6512,6517,6554,6555,6577,6579,6581,6588,6589,6590,6591,6592,6593,6594,6595,6675,6744,6745,6832,6867,6868,6907,6908,7046,7060,7130,7131,7137,7158,7189,7191,7195,7239,7259,7260,7278,7279,7316,7361,7362,7458,7529,7530,7531,7532,7549,7582,7632,7633,7642,7647,7648,7659,7690,7691,7692,7693,7832,7834,7835,7836,7842,7843,8047,8053,8054,8064,8102,8103,8180,8221,8275,8297,8298,8370,8465,8537,8538,8542,8575,8637,8638,8705,8723,8724,8725,8726,8876,9136,9137,9208,9222,9275,9276,9396,9428,9454,9486,9527,9720,9843,9987,10177,10233,10235,6658,6659,6747,6767,6768,7180,7397,8718,8797,9044,9233,9234,9302,9303,9481,9575,9576,9577,9578,9783,10051,10065,10442,10443,6729,8629,8630,9100,9118,10052,10441,4864,4896,4897,4900,4948,4952,4957,4998,5095,5142,5143,5174,5233,5236,5295,5427,5466,5467,5469,5476,5477,5501,5544,5575,5597,5730,5802,5803,5804,5921,5922,5948,5952,6011,6013,6022,6028,6107,6187,6335,6391,6499,6621,6778,6982,7234,7402,7634,7697,8025,8027,8272,8278,8969,9098,9205,9305,9539,9816,5175,5318,5322,5518,5914,6157])). % 209.50/209.74 cnf(13695,plain, % 209.50/209.74 (P106(f335(f335(f243(a927),f335(f335(f86(a927),f2(a927)),x136951)),x136951))), % 209.50/209.74 inference(scs_inference,[],[4808,4215,12794,12816,12990,12992,12994,3786,11415,12470,12567,12570,12662,12704,12708,12716,12788,12949,12951,13361,13367,13372,13376,13382,13385,13409,13509,13514,3795,12534,13016,13018,3803,3519,12962,12964,12966,3520,13010,3486,12870,4748,4749,12058,4491,13022,3523,13003,3356,3418,12927,3419,12968,3420,3421,3422,12744,12931,4747,3849,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,11967,12257,12285,12297,12326,12332,12424,12530,12697,12758,12900,13430,3605,3568,12958,3754,12229,3470,4725,10723,10823,11295,11395,13121,13450,3156,3157,3159,3160,3162,3163,3166,3167,3168,3171,3175,3176,3177,3178,3182,3183,3184,3187,3188,3191,3193,3194,3203,3209,3215,3218,3227,3231,3233,3242,3243,3248,3252,3253,3262,3268,3269,3272,3280,3283,3299,3300,3302,3307,3311,3312,3315,3316,3317,3318,3322,3334,4708,3338,3417,4709,3888,4118,11998,3392,11710,3531,3507,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,11993,12442,12638,12848,12902,12910,12917,12919,12921,12923,12925,12947,12999,13001,13238,13400,13513,13518,13534,3481,12729,12733,12737,3487,3496,4010,4318,3464,13296,3616,12791,12873,3381,3382,3748,4104,11756,3604,13029,3447,3449,3919,3378,3408,3868,3403,3602,4224,4112,3931,4671,3390,3391,3362,3368,4023,3428,3606,11138,11265,12531,12748,3480,4189,4738,10553,10720,11606,12689,12730,12734,4745,12701,3540,12078,12081,13330,13420,13479,13483,13487,13491,4147,4785,11321,11420,11665,11668,3950,3537,3653,3874,3645,4763,3620,12906,12908,12984,3444,3445,10623,10953,4772,3707,3436,3359,3466,11746,4332,12719,12860,4191,11341,11476,11537,12673,12679,12805,12808,12838,4803,11240,11489,11600,11626,11673,11679,12617,4804,11374,11492,11603,11676,4805,11495,11548,4806,11555,4807,3465,3746,12573,12614,12700,3915,3695,4605,4606,3730,3767,4736,11739,3892,3850,3894,4067,3818,13221,13225,13229,13233,13243,4114,12564,3732,3993,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,12253,12319,12395,12433,12508,12511,12842,13104,13143,13146,13204,13429,13434,4003,11984,3533,3629,11815,12093,13533,3813,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,12168,12371,12374,12454,12620,12723,13050,13069,13072,13096,13147,13312,13317,13337,13342,4791,11858,11889,11924,11931,11964,13156,13160,3990,3755,3756,12274,13075,13078,13081,13084,13114,13117,13461,13465,13469,13473,4139,3720,13462,3721,13466,3576,3578,3552,4775,3443,4733,3941,4254,3739,4792,4325,11623,3873,3589,12099,12102,12538,12642,12819,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,12165,4294,4253,12246,12588,4200,11135,12427,12598,12747,13482,4243,13486,4248,11344,12467,12537,12597,12641,13333,13453,4249,3916,11935,12256,12402,12475,12521,4282,3933,10686,10783,11347,11425,11510,11574,12423,12489,12753,12815,12835,12845,13303,13366,13371,13391,13412,4795,11086,11500,12601,13379,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,12226,12284,12300,12303,12306,12309,12482,12496,12499,12502,12505,12581,12645,12764,12811,13097,13120,13196,13207,13212,13215,13218,13251,13262,13323,13348,13351,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,12232,12243,12262,12267,12312,12335,12352,13111,13255,13275,13313,13318,13338,13343,3551,3625,12459,13176,13222,13226,13230,13234,13244,13248,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,12209,12296,12315,12318,12331,12383,12386,12389,12392,12549,12552,12648,12651,12757,12797,12882,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,12061,12696,12885,13295,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,12108,12377,12380,12414,12460,12485,12626,12670,12676,12776,12779,12801,12859,12865,12876,12894,13175,13188,13191,13284,13404,13423,13426,13458,13478,13512,3610,10950,10980,10989,10992,10995,11592,12798,12812,13157,13161,13164,3649,13443,13504,3642,4071,4008,10602,11987,12015,13138,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,12197,12453,13354,3570,10983,11143,11213,12016,12158,12357,12557,12582,13185,13446,13532,4033,12105,13091,4373,3761,4781,4045,4079,4766,4769,4770,3526,3530,4768,4767,4542,3863,11980,4469,11841,4797,10849,10852,4802,11330,11333,11525,11636,11656,11702,4157,11699,12036,12040,12707,12715,12804,13299,13360,3998,11256,11262,11282,12281,12407,12488,12772,3847,11400,11528,12514,12623,12633,12712,12767,12775,12891,13306,4330,4000,10986,11363,11534,11568,11579,12711,12761,13396,3703,3814,10902,10905,10998,11169,3816,4800,11981,4796,13059,4801,10742,10855,11645,12576,12585,12629,12829,12832,4430,11126,12594,12609,12632,4336,4032,12897,3976,3977,4798,10575,10578,10944,10947,11855,12041,12841,4799,11961,12046,4001,10908,11175,13433,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228,6239,6240,6271,6272,6276,6297,6300,6303,6324,6325,6353,6356,6364,6373,6375,6383,6387,6395,6396,6397,6398,6428,6445,6496,6533,6535,6556,6557,6564,6568,6569,6572,6586,6601,6622,6623,6626,6629,6638,6653,6674,6680,6682,6697,6698,6701,6702,6704,6706,6707,6708,6710,6712,6714,6720,6721,6723,6724,6730,6732,6774,6780,6796,6798,6799,6800,6833,6838,6840,6845,6846,6856,6860,6872,6895,6896,6898,6899,6910,6914,6917,6935,6938,6958,6987,6988,6989,6995,7009,7028,7030,7032,7034,7039,7045,7047,7061,7066,7067,7102,7103,7104,7118,7119,7121,7122,7140,7142,7157,7183,7207,7218,7220,7222,7224,7225,7256,7257,7261,7262,7269,7270,7272,7274,7296,7305,7306,7317,7327,7367,7377,7381,7388,7399,7404,7406,7413,7421,7434,7451,7472,7474,7493,7550,7551,7552,7554,7556,7560,7561,7566,7627,7656,7671,7687,7718,7721,7743,7765,7783,7786,7787,7797,7817,7819,7821,7823,7824,7825,7850,7876,7877,7908,7910,7911,7912,7917,7938,7955,7960,7966,7968,7976,7988,7989,7991,8012,8018,8039,8105,8106,8107,8154,8160,8161,8185,8186,8203,8204,8205,8262,8263,8292,8322,8331,8342,8355,8384,8388,8394,8406,8424,8429,8451,8497,8527,8541,8560,8563,8589,8615,8673,8674,8677,8678,8747,8781,8782,8783,8784,8811,8843,8872,8880,8881,8922,8943,8988,9004,9050,9053,9068,9075,9117,9160,9161,9179,9180,9194,9311,9317,9321,9341,9352,9375,9377,9380,9386,9388,9389,9399,9400,9419,9425,9435,9442,9484,9502,9557,9558,9564,9603,9626,9631,9670,9680,9683,9684,9686,9687,9699,9722,9737,9746,9747,9749,9751,9780,9901,9902,9952,9953,9992,10027,10139,10208,10279,10362,10381,10386,3,2879,2880,2881,2883,2884,2897,2899,2903,2904,2905,2908,2909,2913,2914,2915,2922,2923,2924,2925,2928,2929,2930,2933,2934,2935,2943,2944,2945,2946,2947,2948,2949,2950,2952,2953,2955,2956,2957,2959,2960,2961,2962,2964,2965,2968,2974,2975,2976,2977,2978,2993,2994,2996,2998,3010,3011,3012,3013,3014,3015,3016,3030,3032,3064,3067,3072,3073,3074,3075,3077,3078,3088,3091,3092,3093,3094,3095,3096,3103,3104,3118,3119,3140,5528,5567,5714,5715,5716,5797,5895,5925,5959,5975,5977,5983,6045,6046,6047,6048,6056,6091,6223,6260,6270,6294,6328,6365,6512,6517,6554,6555,6577,6579,6581,6588,6589,6590,6591,6592,6593,6594,6595,6675,6744,6745,6832,6867,6868,6907,6908,7046,7060,7130,7131,7137,7158,7189,7191,7195,7239,7259,7260,7278,7279,7316,7361,7362,7458,7529,7530,7531,7532,7549,7582,7632,7633,7642,7647,7648,7659,7690,7691,7692,7693,7832,7834,7835,7836,7842,7843,8047,8053,8054,8064,8102,8103,8180,8221,8275,8297,8298,8370,8465,8537,8538,8542,8575,8637,8638,8705,8723,8724,8725,8726,8876,9136,9137,9208,9222,9275,9276,9396,9428,9454,9486,9527,9720,9843,9987,10177,10233,10235,6658,6659,6747,6767,6768,7180,7397,8718,8797,9044,9233,9234,9302,9303,9481,9575,9576,9577,9578,9783,10051,10065,10442,10443,6729,8629,8630,9100,9118,10052,10441,4864,4896,4897,4900,4948,4952,4957,4998,5095,5142,5143,5174,5233,5236,5295,5427,5466,5467,5469,5476,5477,5501,5544,5575,5597,5730,5802,5803,5804,5921,5922,5948,5952,6011,6013,6022,6028,6107,6187,6335,6391,6499,6621,6778,6982,7234,7402,7634,7697,8025,8027,8272,8278,8969,9098,9205,9305,9539,9816,5175,5318,5322,5518,5914,6157,6233,6252,6262,6286,6299,6553])). % 209.50/209.74 cnf(13706,plain, % 209.50/209.74 (~P25(x137061,x137062,f199(x137063,x137064),f335(f335(f317(x137061),x137065),f250(f934(x137061,a922))))), % 209.50/209.74 inference(scs_inference,[],[4808,4215,12794,12816,12990,12992,12994,3786,11415,12470,12567,12570,12662,12704,12708,12716,12788,12949,12951,13361,13367,13372,13376,13382,13385,13409,13509,13514,3795,12534,13016,13018,3803,3519,12962,12964,12966,3520,13010,3486,12870,4748,4749,12058,4491,13022,3523,13003,3356,3418,12927,3419,12968,3420,3421,3422,12744,12931,4747,3849,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,11967,12257,12285,12297,12326,12332,12424,12530,12697,12758,12900,13430,3605,3568,12958,3754,12229,3470,4725,10723,10823,11295,11395,13121,13450,3156,3157,3159,3160,3162,3163,3166,3167,3168,3171,3175,3176,3177,3178,3182,3183,3184,3187,3188,3191,3193,3194,3203,3209,3215,3218,3227,3231,3233,3242,3243,3248,3252,3253,3262,3268,3269,3272,3280,3283,3299,3300,3302,3307,3311,3312,3315,3316,3317,3318,3322,3334,4708,3338,3417,4709,3888,4118,11998,3392,11710,3531,3507,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,11993,12442,12638,12848,12902,12910,12917,12919,12921,12923,12925,12947,12999,13001,13238,13400,13513,13518,13534,3481,12729,12733,12737,3487,3496,4010,4318,3464,13296,3616,12791,12873,3381,3382,3748,4104,11756,3604,13029,3447,3449,3919,3378,3408,3868,3403,3602,4224,4112,3931,4671,3390,3391,3362,3368,4023,3428,3606,11138,11265,12531,12748,3480,3505,4189,4738,10553,10720,11606,12689,12730,12734,4745,12701,3540,12078,12081,13330,13420,13479,13483,13487,13491,4147,4785,11321,11420,11665,11668,3950,3537,3653,3874,3645,4763,3620,12906,12908,12984,3444,3445,10623,10953,4772,3707,3436,3359,3466,11746,4332,12719,12860,4191,11341,11476,11537,12673,12679,12805,12808,12838,4803,11240,11489,11600,11626,11673,11679,12617,4804,11374,11492,11603,11676,4805,11495,11548,4806,11555,4807,3465,3746,12573,12614,12700,3915,3695,4605,4606,3730,3767,4736,11739,3892,3850,3894,4067,3818,13221,13225,13229,13233,13243,4114,12564,3732,3993,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,12253,12319,12395,12433,12508,12511,12842,13104,13143,13146,13204,13429,13434,4003,11984,3533,3629,11815,12093,13533,3813,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,12168,12371,12374,12454,12620,12723,13050,13069,13072,13096,13147,13312,13317,13337,13342,4791,11858,11889,11924,11931,11964,13156,13160,3990,3755,3756,12274,13075,13078,13081,13084,13114,13117,13461,13465,13469,13473,3760,4139,3720,13462,3721,13466,3576,3578,3552,4775,3443,4733,3941,4254,3739,4792,4325,11623,3873,3589,12099,12102,12538,12642,12819,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,12165,4294,4253,12246,12588,4200,11135,12427,12598,12747,13482,4243,13486,4248,11344,12467,12537,12597,12641,13333,13453,4249,3916,11935,12256,12402,12475,12521,4282,3933,10686,10783,11347,11425,11510,11574,12423,12489,12753,12815,12835,12845,13303,13366,13371,13391,13412,4795,11086,11500,12601,13379,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,12226,12284,12300,12303,12306,12309,12482,12496,12499,12502,12505,12581,12645,12764,12811,13097,13120,13196,13207,13212,13215,13218,13251,13262,13323,13348,13351,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,12232,12243,12262,12267,12312,12335,12352,13111,13255,13275,13313,13318,13338,13343,3551,3625,12459,13176,13222,13226,13230,13234,13244,13248,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,12209,12296,12315,12318,12331,12383,12386,12389,12392,12549,12552,12648,12651,12757,12797,12882,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,12061,12696,12885,13295,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,12108,12377,12380,12414,12460,12485,12626,12670,12676,12776,12779,12801,12859,12865,12876,12894,13175,13188,13191,13284,13404,13423,13426,13458,13478,13512,3610,10950,10980,10989,10992,10995,11592,12798,12812,13157,13161,13164,3649,13443,13504,3642,4071,4008,10602,11987,12015,13138,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,12197,12453,13354,3570,10983,11143,11213,12016,12158,12357,12557,12582,13185,13446,13532,4033,12105,13091,4373,3761,4781,4045,4079,4766,4769,4770,3526,3530,4768,4767,4542,3863,11980,4469,11841,4797,10849,10852,4802,11330,11333,11525,11636,11656,11702,4157,11699,12036,12040,12707,12715,12804,13299,13360,3998,11256,11262,11282,12281,12407,12488,12772,13407,3847,11400,11528,12514,12623,12633,12712,12767,12775,12891,13306,4330,4000,10986,11363,11534,11568,11579,12711,12761,13396,3703,3814,10902,10905,10998,11169,3816,4800,11981,4796,13059,4801,10742,10855,11645,12576,12585,12629,12829,12832,4430,11126,12594,12609,12632,4336,4032,12897,3976,3977,4798,10575,10578,10944,10947,11855,12041,12841,4799,11961,12046,4001,10908,11175,13433,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228,6239,6240,6271,6272,6276,6297,6300,6303,6324,6325,6353,6356,6364,6373,6375,6383,6387,6395,6396,6397,6398,6428,6445,6496,6533,6535,6556,6557,6564,6568,6569,6572,6586,6601,6622,6623,6626,6629,6638,6653,6674,6680,6682,6697,6698,6701,6702,6704,6706,6707,6708,6710,6712,6714,6720,6721,6723,6724,6730,6732,6774,6780,6796,6798,6799,6800,6833,6838,6840,6845,6846,6856,6860,6872,6895,6896,6898,6899,6910,6914,6917,6935,6938,6958,6987,6988,6989,6995,7009,7028,7030,7032,7034,7039,7045,7047,7061,7066,7067,7102,7103,7104,7118,7119,7121,7122,7140,7142,7157,7183,7207,7218,7220,7222,7224,7225,7256,7257,7261,7262,7269,7270,7272,7274,7296,7305,7306,7317,7327,7367,7377,7381,7388,7399,7404,7406,7413,7421,7434,7451,7472,7474,7493,7550,7551,7552,7554,7556,7560,7561,7566,7627,7656,7671,7687,7718,7721,7743,7765,7783,7786,7787,7797,7817,7819,7821,7823,7824,7825,7850,7876,7877,7908,7910,7911,7912,7917,7938,7955,7960,7966,7968,7976,7988,7989,7991,8012,8018,8039,8105,8106,8107,8154,8160,8161,8185,8186,8203,8204,8205,8262,8263,8292,8322,8331,8342,8355,8384,8388,8394,8406,8424,8429,8451,8497,8527,8541,8560,8563,8589,8615,8673,8674,8677,8678,8747,8781,8782,8783,8784,8811,8843,8872,8880,8881,8922,8943,8988,9004,9050,9053,9068,9075,9117,9160,9161,9179,9180,9194,9311,9317,9321,9341,9352,9375,9377,9380,9386,9388,9389,9399,9400,9419,9425,9435,9442,9484,9502,9557,9558,9564,9603,9626,9631,9670,9680,9683,9684,9686,9687,9699,9722,9737,9746,9747,9749,9751,9780,9901,9902,9952,9953,9992,10027,10139,10208,10279,10362,10381,10386,3,2879,2880,2881,2883,2884,2897,2899,2903,2904,2905,2908,2909,2913,2914,2915,2922,2923,2924,2925,2928,2929,2930,2933,2934,2935,2943,2944,2945,2946,2947,2948,2949,2950,2952,2953,2955,2956,2957,2959,2960,2961,2962,2964,2965,2968,2974,2975,2976,2977,2978,2993,2994,2996,2998,3010,3011,3012,3013,3014,3015,3016,3030,3032,3064,3067,3072,3073,3074,3075,3077,3078,3088,3091,3092,3093,3094,3095,3096,3103,3104,3118,3119,3140,5528,5567,5714,5715,5716,5797,5895,5925,5959,5975,5977,5983,6045,6046,6047,6048,6056,6091,6223,6260,6270,6294,6328,6365,6512,6517,6554,6555,6577,6579,6581,6588,6589,6590,6591,6592,6593,6594,6595,6675,6744,6745,6832,6867,6868,6907,6908,7046,7060,7130,7131,7137,7158,7189,7191,7195,7239,7259,7260,7278,7279,7316,7361,7362,7458,7529,7530,7531,7532,7549,7582,7632,7633,7642,7647,7648,7659,7690,7691,7692,7693,7832,7834,7835,7836,7842,7843,8047,8053,8054,8064,8102,8103,8180,8221,8275,8297,8298,8370,8465,8537,8538,8542,8575,8637,8638,8705,8723,8724,8725,8726,8876,9136,9137,9208,9222,9275,9276,9396,9428,9454,9486,9527,9720,9843,9987,10177,10233,10235,6658,6659,6747,6767,6768,7180,7397,8718,8797,9044,9233,9234,9302,9303,9481,9575,9576,9577,9578,9783,10051,10065,10442,10443,6729,8629,8630,9100,9118,10052,10441,4864,4896,4897,4900,4948,4952,4957,4998,5095,5142,5143,5174,5233,5236,5295,5427,5466,5467,5469,5476,5477,5501,5544,5575,5597,5730,5802,5803,5804,5921,5922,5948,5952,6011,6013,6022,6028,6107,6187,6335,6391,6499,6621,6778,6982,7234,7402,7634,7697,8025,8027,8272,8278,8969,9098,9205,9305,9539,9816,5175,5318,5322,5518,5914,6157,6233,6252,6262,6286,6299,6553,7595,7657,8077,8116])). % 209.50/209.74 cnf(13711,plain, % 209.50/209.74 (P106(f335(f335(f244(f934(a1,a922)),f335(f318(a1,a1,f5(a1)),f311(a1,f84(a1),f2(a1)))),f335(f318(a1,a1,f5(a1)),f311(a1,f2(a1),f84(a1)))))), % 209.57/209.75 inference(scs_inference,[],[4808,4215,12794,12816,12990,12992,12994,3786,11415,12470,12567,12570,12662,12704,12708,12716,12788,12949,12951,13361,13367,13372,13376,13382,13385,13409,13509,13514,13519,3795,12534,13016,13018,3803,3519,12962,12964,12966,3520,13010,3486,12870,4748,4749,12058,4491,13022,3523,13003,3356,3418,12927,3419,12968,3420,3421,3422,12744,12931,4747,3849,4713,10490,10500,10513,10524,10527,10631,10634,10637,10739,10874,11188,11385,11388,11407,11410,11609,11713,11720,11734,11780,11783,11816,11831,11894,11951,11967,12257,12285,12297,12326,12332,12424,12530,12697,12758,12900,13430,3605,3568,12958,3754,12229,3470,4725,10723,10823,11295,11395,13121,13450,3156,3157,3159,3160,3162,3163,3166,3167,3168,3171,3175,3176,3177,3178,3182,3183,3184,3187,3188,3191,3193,3194,3203,3209,3215,3218,3227,3231,3233,3242,3243,3248,3252,3253,3262,3268,3269,3272,3280,3283,3299,3300,3302,3307,3311,3312,3315,3316,3317,3318,3322,3334,4708,3338,3417,4709,3888,4118,11998,3392,11710,3531,3507,3510,10562,10565,10658,10661,10977,11725,11728,11842,11881,11886,11993,12442,12638,12848,12902,12910,12917,12919,12921,12923,12925,12947,12999,13001,13238,13400,13513,13518,13534,3481,12729,12733,12737,3487,3496,4010,4318,3464,13296,3616,12791,12873,3381,3382,3748,4104,11756,3604,13029,3447,3449,3919,3378,3408,3868,3403,3602,4224,4112,3931,4671,3390,3391,3362,3368,4023,3428,3606,11138,11265,12531,12748,3480,3505,4189,4738,10553,10720,11606,12689,12730,12734,4745,12701,3540,12078,12081,13330,13420,13479,13483,13487,13491,4147,4785,11321,11420,11665,11668,3950,3537,3653,3874,3645,4763,3620,12906,12908,12984,3444,3445,10623,10953,4772,3707,3436,3359,3466,11746,4332,12719,12860,4191,11341,11476,11537,12673,12679,12805,12808,12838,4803,11240,11489,11600,11626,11673,11679,12617,4804,11374,11492,11603,11676,4805,11495,11548,4806,11555,4807,3465,3746,12573,12614,12700,3915,3695,4605,4606,3730,3767,4736,11739,3892,3850,3894,4067,3818,13221,13225,13229,13233,13243,4114,12564,3732,3993,3617,10642,10762,10840,10913,10916,10956,11060,11311,11928,12169,12253,12319,12395,12433,12508,12511,12842,13104,13143,13146,13204,13429,13434,4003,11984,3533,3629,11815,12093,13533,3813,4778,10530,10533,10559,10683,10858,11068,11083,11198,11651,11749,11927,12144,12149,12168,12371,12374,12454,12620,12723,13050,13069,13072,13096,13147,13312,13317,13337,13342,4791,11858,11889,11924,11931,11964,13156,13160,3990,3755,3756,12274,13075,13078,13081,13084,13114,13117,13461,13465,13469,13473,3760,4139,3720,13462,3721,13466,3576,3578,3552,4775,3443,4733,3941,4254,3739,4792,4325,11623,3873,3589,12099,12102,12538,12642,12819,4783,10518,10521,10691,10786,10805,10812,10835,10843,10846,10863,11051,11298,11517,11809,11903,12049,12162,12165,4294,4253,12246,12588,4200,11135,12427,12598,12747,13482,4243,13486,4248,11344,12467,12537,12597,12641,13333,13453,4249,3916,11935,12256,12402,12475,12521,4282,3933,10686,10783,11347,11425,11510,11574,12423,12489,12753,12815,12835,12845,13303,13366,13371,13391,13412,4795,11086,11500,12601,13379,3549,10651,10749,10899,10963,11040,11089,11092,11123,11146,11182,11220,11259,12052,12096,12226,12284,12300,12303,12306,12309,12482,12496,12499,12502,12505,12581,12645,12764,12811,13097,13120,13196,13207,13212,13215,13218,13251,13262,13323,13348,13351,3550,10678,10734,10968,11063,11185,11834,12129,12132,12141,12232,12243,12262,12267,12312,12335,12352,13111,13255,13275,13313,13318,13338,13343,3551,3625,12459,13176,13222,13226,13230,13234,13244,13248,4774,10570,10599,11107,11149,11158,12012,12033,12200,12203,12206,12209,12296,12315,12318,12331,12383,12386,12389,12392,12549,12552,12648,12651,12757,12797,12882,3702,10828,10919,11193,11237,11479,11482,11563,11648,11819,12061,12696,12885,13295,4787,11116,11229,11250,11253,11324,11327,11338,11441,11449,11463,11503,11522,11531,11571,11612,11617,11620,11639,11642,11682,11687,11690,11693,11696,11934,12075,12108,12377,12380,12414,12460,12485,12626,12670,12676,12776,12779,12801,12859,12865,12876,12894,13175,13188,13191,13284,13404,13423,13426,13458,13478,13512,3610,10950,10980,10989,10992,10995,11592,12798,12812,13157,13161,13164,3649,13443,13504,3642,4071,4008,10602,11987,12015,13138,4784,10550,10938,10941,11444,11460,11950,12003,12037,12062,12159,12188,12191,12194,12197,12453,13354,3570,10983,11143,11213,12016,12158,12357,12557,12582,13185,13446,13532,4033,12105,13091,4373,3761,4781,4045,4079,4766,4769,4770,3526,3530,4768,4767,4542,3863,11980,4469,11841,4797,10849,10852,4802,11330,11333,11525,11636,11656,11702,4157,11699,12036,12040,12707,12715,12804,13299,13360,3998,11256,11262,11282,12281,12407,12488,12772,13407,3847,11400,11528,12514,12623,12633,12712,12767,12775,12891,13306,4330,4000,10986,11363,11534,11568,11579,12711,12761,13396,3703,3814,10902,10905,10998,11169,3816,4800,11981,4796,13059,4801,10742,10855,11645,12576,12585,12629,12829,12832,4430,11126,12594,12609,12632,4336,4032,12897,3976,3977,4798,10575,10578,10944,10947,11855,12041,12841,4799,11961,12046,4001,10908,11175,13433,4268,4817,4843,4898,4902,4932,4947,4954,4956,4992,4997,5026,5032,5118,5144,5145,5160,5182,5210,5211,5234,5235,5249,5252,5277,5283,5299,5303,5304,5305,5310,5311,5334,5359,5361,5362,5372,5377,5383,5419,5420,5428,5436,5440,5442,5456,5459,5465,5470,5471,5484,5490,5493,5494,5498,5531,5545,5554,5556,5557,5560,5561,5562,5572,5574,5580,5581,5582,5588,5592,5593,5594,5602,5606,5607,5612,5625,5633,5645,5647,5655,5657,5658,5661,5665,5692,5706,5707,5722,5734,5756,5762,5784,5785,5788,5807,5815,5816,5821,5822,5832,5834,5846,5850,5859,5860,5862,5863,5879,5884,5893,5894,5905,5912,5926,5930,5933,5939,5940,5941,5944,5949,5985,5986,5989,5991,5993,5995,5996,5997,5999,6001,6003,6008,6015,6030,6044,6050,6051,6054,6065,6066,6073,6077,6079,6084,6092,6128,6141,6150,6153,6162,6166,6167,6168,6169,6170,6174,6179,6189,6195,6213,6217,6226,6255,6269,6295,6312,6313,6316,6330,6332,6334,6336,6351,6352,6355,6357,6360,6361,6376,6384,6385,6386,6388,6390,6425,6426,6431,6434,6440,6444,6478,6480,6482,6484,6493,6495,6497,6503,6505,6510,6513,6521,6529,6531,6532,6538,6559,6560,6561,6562,6563,6565,6571,6576,6609,6610,6613,6614,6615,6617,6618,6619,6620,6628,6660,6661,6662,6671,6692,6693,6713,6715,6727,6728,6734,6764,6766,6781,6785,6820,6822,6823,6877,6900,6943,6957,6964,6973,6974,6975,6976,6993,6994,7001,7013,7016,7018,7019,7020,7022,7024,7038,7049,7050,7051,7064,7116,7127,7129,7150,7151,7185,7192,7199,7229,7258,7314,7343,7398,7419,7427,7430,7490,7503,7565,7567,7581,7590,7591,7592,7608,7612,7614,7660,7670,7673,7688,7735,7737,7740,7781,7782,7800,7868,7886,7909,7932,7944,7958,7969,7980,7981,8007,8009,8011,8020,8056,8067,8092,8119,8151,8183,8216,8255,8271,8273,8289,8290,8352,8363,8428,8452,8457,8472,8499,8500,8539,8540,8557,8596,8598,8600,8607,8622,8626,8641,8662,8670,8672,8682,8687,8691,8692,8693,8694,8695,8696,8715,8730,8731,8749,8750,8755,8756,8757,8758,8759,8777,8778,8779,8789,8802,8805,8816,8821,8823,8825,8826,8827,8834,8840,8848,8851,8868,8869,8878,8879,8887,8906,8919,8923,8944,8966,8967,8970,8971,8977,8986,8987,9010,9021,9031,9032,9033,9036,9059,9060,9071,9120,9126,9132,9134,9150,9153,9164,9165,9166,9177,9241,9272,9273,9274,9289,9306,9314,9315,9343,9344,9412,9443,9449,9459,9460,9461,9470,9498,9514,9518,9522,9544,9545,9572,9634,9639,9642,9674,9675,9676,9700,9701,9717,9738,9744,9756,9781,9802,9811,9812,9813,9814,9829,9831,9836,9866,9867,9873,9874,9919,9920,9931,9932,9957,9975,9977,9978,9986,9991,9998,10022,10046,10057,10059,10063,10114,10149,10159,10161,10165,10166,10168,10178,10179,10199,10204,10300,10390,10391,10392,10393,10456,10474,2,8,9,4830,4831,4849,4891,4892,4894,4917,4925,4926,4936,4981,4983,5031,5161,5162,5176,5199,5255,5256,5262,5263,5265,5267,5276,5279,5280,5288,5301,5302,5308,5329,5330,5348,5353,5354,5355,5356,5360,5368,5371,5378,5433,5438,5439,5444,5450,5481,5491,5496,5512,5529,5530,5537,5538,5539,5550,5568,5570,5571,5578,5585,5586,5598,5599,5600,5601,5603,5604,5608,5609,5610,5611,5641,5642,5643,5651,5652,5653,5654,5698,5703,5705,5741,5743,5744,5746,5747,5749,5750,5752,5761,5766,5767,5768,5770,5772,5773,5774,5775,5776,5777,5786,5796,5799,5810,5826,5827,5830,5840,5842,5843,5844,5871,5881,5896,5897,5906,5907,5909,5911,5916,5951,5956,5958,6017,6052,6053,6058,6064,6067,6068,6069,6070,6089,6093,6094,6103,6125,6154,6173,6177,6178,6180,6203,6207,6210,6211,6212,6228,6239,6240,6271,6272,6276,6297,6300,6303,6324,6325,6353,6356,6364,6373,6375,6383,6387,6395,6396,6397,6398,6428,6445,6496,6533,6535,6556,6557,6564,6568,6569,6572,6586,6601,6622,6623,6626,6629,6638,6653,6674,6680,6682,6697,6698,6701,6702,6704,6706,6707,6708,6710,6712,6714,6720,6721,6723,6724,6730,6732,6774,6780,6796,6798,6799,6800,6833,6838,6840,6845,6846,6856,6860,6872,6895,6896,6898,6899,6910,6914,6917,6935,6938,6958,6987,6988,6989,6995,7009,7028,7030,7032,7034,7039,7045,7047,7061,7066,7067,7102,7103,7104,7118,7119,7121,7122,7140,7142,7157,7183,7207,7218,7220,7222,7224,7225,7256,7257,7261,7262,7269,7270,7272,7274,7296,7305,7306,7317,7327,7367,7377,7381,7388,7399,7404,7406,7413,7421,7434,7451,7472,7474,7493,7550,7551,7552,7554,7556,7560,7561,7566,7627,7656,7671,7687,7718,7721,7743,7765,7783,7786,7787,7797,7817,7819,7821,7823,7824,7825,7850,7876,7877,7908,7910,7911,7912,7917,7938,7955,7960,7966,7968,7976,7988,7989,7991,8012,8018,8039,8105,8106,8107,8154,8160,8161,8185,8186,8203,8204,8205,8262,8263,8292,8322,8331,8342,8355,8384,8388,8394,8406,8424,8429,8451,8497,8527,8541,8560,8563,8589,8615,8673,8674,8677,8678,8747,8781,8782,8783,8784,8811,8843,8872,8880,8881,8922,8943,8988,9004,9050,9053,9068,9075,9117,9160,9161,9179,9180,9194,9311,9317,9321,9341,9352,9375,9377,9380,9386,9388,9389,9399,9400,9419,9425,9435,9442,9484,9502,9557,9558,9564,9603,9626,9631,9670,9680,9683,9684,9686,9687,9699,9722,9737,9746,9747,9749,9751,9780,9901,9902,9952,9953,9992,10027,10139,10208,10279,10362,10381,10386,3,2879,2880,2881,2883,2884,2897,2899,2903,2904,2905,2908,2909,2913,2914,2915,2922,2923,2924,2925,2928,2929,2930,2933,2934,2935,2943,2944,2945,2946,2947,2948,2949,2950,2952,2953,2955,2956,2957,2959,2960,2961,2962,2964,2965,2968,2974,2975,2976,2977,2978,2993,2994,2996,2998,3010,3011,3012,3013,3014,3015,3016,3030,3032,3064,3067,3072,3073,3074,3075,3077,3078,3088,3091,3092,3093,3094,3095,3096,3103,3104,3118,3119,3140,5528,5567,5714,5715,5716,5797,5895,5925,5959,5975,5977,5983,6045,6046,6047,6048,6056,6091,6223,6260,6270,6294,6328,6365,6512,6517,6554,6555,6577,6579,6581,6588,6589,6590,6591,6592,6593,6594,6595,6675,6744,6745,6832,6867,6868,6907,6908,7046,7060,7130,7131,7137,7158,7189,7191,7195,7239,7259,7260,7278,7279,7316,7361,7362,7458,7529,7530,7531,7532,7549,7582,7632,7633,7642,7647,7648,7659,7690,7691,7692,7693,7832,7834,7835,7836,7842,7843,8047,8053,8054,8064,8102,8103,8180,8221,8275,8297,8298,8370,8465,8537,8538,8542,8575,8637,8638,8705,8723,8724,8725,8726,8876,9136,9137,9208,9222,9275,9276,9396,9428,9454,9486,9527,9720,9843,9987,10177,10233,10235,6658,6659,6747,6767,6768,7180,7397,8718,8797,9044,9233,9234,9302,9303,9481,9575,9576,9577,9578,9783,10051,10065,10442,10443,6729,8629,8630,9100,9118,10052,10441,4864,4896,4897,4900,4948,4952,4957,4998,5095,5142,5143,5174,5233,5236,5295,5427,5466,5467,5469,5476,5477,5501,5544,5575,5597,5730,5802,5803,5804,5921,5922,5948,5952,6011,6013,6022,6028,6107,6187,6335,6391,6499,6621,6778,6982,7234,7402,7634,7697,8025,8027,8272,8278,8969,9098,9205,9305,9539,9816,5175,5318,5322,5518,5914,6157,6233,6252,6262,6286,6299,6553,7595,7657,8077,8116,9065,9138])). % 209.57/209.75 cnf(13773,plain, % 209.57/209.75 (~P106(f335(f335(f337(x137731),x137732),f335(f318(x137733,x137731,x137734),f335(f318(x137735,x137733,x137736),f195(f934(x137735,a922))))))), % 209.57/209.75 inference(rename_variables,[],[11505])). % 209.57/209.75 cnf(13783,plain, % 209.57/209.75 (E(f335(x137831,f538(x137831,x137832,f335(x137831,x137833))),f335(x137831,x137833))), % 209.57/209.75 inference(rename_variables,[],[11279])). % 209.57/209.75 cnf(13790,plain, % 209.57/209.75 (E(f335(x137901,f538(x137901,x137902,f335(x137901,x137903))),f335(x137901,x137903))), % 209.57/209.75 inference(rename_variables,[],[11279])). % 209.57/209.75 cnf(13793,plain, % 209.57/209.75 (P106(f335(f335(f244(a1),x137931),f335(f335(f86(a1),x137931),f84(a1))))), % 209.57/209.75 inference(rename_variables,[],[11184])). % 209.57/209.75 cnf(13796,plain, % 209.57/209.75 (P106(f335(f335(f244(a1),x137961),f335(f335(f86(a1),x137961),f84(a1))))), % 209.57/209.75 inference(rename_variables,[],[11184])). % 209.57/209.75 cnf(13801,plain, % 209.57/209.75 (~P106(f335(f335(f244(a927),x138011),f335(f196(f928(x138012)),f120(x138012))))), % 209.57/209.75 inference(rename_variables,[],[12858])). % 209.57/209.75 cnf(13814,plain, % 209.57/209.75 (E(f335(x138141,f538(x138141,x138142,f335(x138141,x138143))),f335(x138141,x138143))), % 209.57/209.75 inference(rename_variables,[],[11279])). % 209.57/209.75 cnf(13836,plain, % 209.57/209.75 (~P106(f335(f335(f337(x138361),x138362),f335(f318(x138363,x138361,x138364),f335(f318(x138365,x138363,x138366),f195(f934(x138365,a922))))))), % 209.57/209.75 inference(rename_variables,[],[11505])). % 209.57/209.75 cnf(13839,plain, % 209.57/209.75 (E(f335(x138391,f538(x138391,x138392,f335(x138391,x138393))),f335(x138391,x138393))), % 209.57/209.75 inference(rename_variables,[],[11279])). % 209.57/209.75 cnf(13845,plain, % 209.57/209.75 (E(f335(x138451,f538(x138451,x138452,f335(x138451,x138453))),f335(x138451,x138453))), % 209.57/209.75 inference(rename_variables,[],[11279])). % 209.57/209.75 cnf(13848,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(x138481,x138482)),x138483),f335(f318(f933(x138484,x138484),f933(x138481,x138482),f266(x138484,x138481,x138484,x138482,x138485,x138486)),f160(x138484,f120(f934(x138484,a927))))))), % 209.57/209.75 inference(rename_variables,[],[11701])). % 209.57/209.75 cnf(13851,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(x138511,x138512)),x138513),f335(f318(f933(x138514,x138514),f933(x138511,x138512),f266(x138514,x138511,x138514,x138512,x138515,x138516)),f160(x138514,f120(f934(x138514,a927))))))), % 209.57/209.75 inference(rename_variables,[],[11701])). % 209.57/209.75 cnf(13854,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(x138541,x138542)),x138543),f335(f318(f933(x138544,x138544),f933(x138541,x138542),f266(x138544,x138541,x138544,x138542,x138545,x138546)),f160(x138544,f120(f934(x138544,a927))))))), % 209.57/209.75 inference(rename_variables,[],[11701])). % 209.57/209.75 cnf(13857,plain, % 209.57/209.75 (~P106(f335(f335(f337(x138571),x138572),f335(f318(x138573,x138571,x138574),f335(f318(x138575,x138573,x138576),f195(f934(x138575,a922))))))), % 209.57/209.75 inference(rename_variables,[],[11505])). % 209.57/209.75 cnf(13860,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(x138601,x138602)),x138603),f335(f318(f933(x138604,x138604),f933(x138601,x138602),f266(x138604,x138601,x138604,x138602,x138605,x138606)),f160(x138604,f120(f934(x138604,a927))))))), % 209.57/209.75 inference(rename_variables,[],[11701])). % 209.57/209.75 cnf(13863,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(x138631,x138632)),x138633),f335(f318(f933(x138634,x138634),f933(x138631,x138632),f266(x138634,x138631,x138634,x138632,x138635,x138636)),f160(x138634,f120(f934(x138634,a927))))))), % 209.57/209.75 inference(rename_variables,[],[11701])). % 209.57/209.75 cnf(13866,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(x138661,x138662)),x138663),f335(f318(f933(x138664,x138664),f933(x138661,x138662),f266(x138664,x138661,x138664,x138662,x138665,x138666)),f160(x138664,f120(f934(x138664,a927))))))), % 209.57/209.75 inference(rename_variables,[],[11701])). % 209.57/209.75 cnf(13869,plain, % 209.57/209.75 (~P106(f335(f335(f337(x138691),x138692),f335(f318(x138693,x138691,x138694),f335(f318(x138695,x138693,x138696),f195(f934(x138695,a922))))))), % 209.57/209.75 inference(rename_variables,[],[11505])). % 209.57/209.75 cnf(13872,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(x138721,x138721)),x138722),f271(x138721,f195(f934(x138721,a922)))))), % 209.57/209.75 inference(rename_variables,[],[11249])). % 209.57/209.75 cnf(13875,plain, % 209.57/209.75 (~P106(f335(f335(f263(x138751,x138752,a922,f335(f179(x138753),f120(x138753))),x138754),x138755))), % 209.57/209.75 inference(rename_variables,[],[11516])). % 209.57/209.75 cnf(13878,plain, % 209.57/209.75 (E(f335(x138781,f538(x138781,x138782,f335(x138781,x138783))),f335(x138781,x138783))), % 209.57/209.75 inference(rename_variables,[],[11279])). % 209.57/209.75 cnf(13888,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(f928(x138881),f928(x138881))),f335(f335(f260(f928(x138881),f928(x138881)),x138882),x138883)),f164(x138881,f160(x138881,f120(f934(x138881,a927))))))), % 209.57/209.75 inference(rename_variables,[],[11655])). % 209.57/209.75 cnf(13893,plain, % 209.57/209.75 (~P106(f335(f335(f244(a927),x138931),f335(f196(f928(x138932)),f120(x138932))))), % 209.57/209.75 inference(rename_variables,[],[12858])). % 209.57/209.75 cnf(13904,plain, % 209.57/209.75 (P106(f335(f335(f295(a927),x139041),x139041))), % 209.57/209.75 inference(rename_variables,[],[3551])). % 209.57/209.75 cnf(13909,plain, % 209.57/209.75 (~E(f335(f266(x139091,x139092,x139093,x139093,f318(x139094,f934(x139094,a922),x139095),f25(x139093)),x139096),f335(f266(x139091,x139092,x139093,x139093,f316(x139094),f25(x139093)),x139096))), % 209.57/209.75 inference(rename_variables,[],[11664])). % 209.57/209.75 cnf(13914,plain, % 209.57/209.75 (E(f335(x139141,f538(x139141,x139142,f335(x139141,x139143))),f335(x139141,x139143))), % 209.57/209.75 inference(rename_variables,[],[11279])). % 209.57/209.75 cnf(13919,plain, % 209.57/209.75 (E(f335(f85(f934(x139191,a922)),f335(f85(f934(x139191,a922)),x139192)),x139192)), % 209.57/209.75 inference(rename_variables,[],[3676])). % 209.57/209.75 cnf(13922,plain, % 209.57/209.75 (P106(f335(f335(f243(a1),f50(a927,x139221,f195(a927))),x139221))), % 209.57/209.75 inference(rename_variables,[],[12128])). % 209.57/209.75 cnf(13925,plain, % 209.57/209.75 (P106(f335(f335(f244(a1),f335(f335(f23(a1),x139251),f84(a1))),x139251))), % 209.57/209.75 inference(rename_variables,[],[11062])). % 209.57/209.75 cnf(13930,plain, % 209.57/209.75 (E(f335(f85(f934(x139301,a922)),f335(f85(f934(x139301,a922)),x139302)),x139302)), % 209.57/209.75 inference(rename_variables,[],[3676])). % 209.57/209.75 cnf(13940,plain, % 209.57/209.75 (~E(f335(f335(f86(a1),x139401),x139401),f335(f335(f23(a1),f335(f335(f86(a1),x139402),x139402)),a104))), % 209.57/209.75 inference(rename_variables,[],[4794])). % 209.57/209.75 cnf(13948,plain, % 209.57/209.75 (~P106(f335(f335(f243(a927),f335(f335(f86(a927),f335(a119,x139481)),x139482)),x139482))), % 209.57/209.75 inference(rename_variables,[],[13286])). % 209.57/209.75 cnf(13962,plain, % 209.57/209.75 (P106(f335(f335(f243(a927),x139621),f335(f335(f86(a927),x139622),x139621)))), % 209.57/209.75 inference(rename_variables,[],[3815])). % 209.57/209.75 cnf(13965,plain, % 209.57/209.75 (P106(f335(f335(f337(f933(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922))),f335(f335(f260(f934(f933(a927,a927),a922),f934(f933(a927,a927),a922)),x139651),f195(f934(f933(a927,a927),a922)))),a77))), % 209.57/209.75 inference(rename_variables,[],[4522])). % 209.57/209.75 cnf(13968,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(x139681,x139681)),x139682),f271(x139681,f195(f934(x139681,a922)))))), % 209.57/209.75 inference(rename_variables,[],[11249])). % 209.57/209.75 cnf(13971,plain, % 209.57/209.75 (~P106(f335(f335(f72(f928(x139711),f928(x139711),f152(x139711,x139712)),x139713),f120(x139711)))), % 209.57/209.75 inference(rename_variables,[],[11371])). % 209.57/209.75 cnf(13983,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(x139831,x139832)),x139833),f335(f318(f933(x139834,x139834),f933(x139831,x139832),f266(x139834,x139831,x139834,x139832,x139835,x139836)),f160(x139834,f120(f934(x139834,a927))))))), % 209.57/209.75 inference(rename_variables,[],[11701])). % 209.57/209.75 cnf(13988,plain, % 209.57/209.75 (~E(f335(f335(f158(x139881),x139882),x139883),f335(f175(x139881),f120(x139881)))), % 209.57/209.75 inference(rename_variables,[],[13559])). % 209.57/209.75 cnf(13993,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(f928(x139931),f928(x139931))),f335(f335(f260(f928(x139931),f928(x139931)),x139932),x139933)),f164(x139931,f160(x139931,f120(f934(x139931,a927))))))), % 209.57/209.75 inference(rename_variables,[],[11655])). % 209.57/209.75 cnf(13996,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(x139961,x139961)),x139962),f160(x139961,f120(f934(x139961,a927)))))), % 209.57/209.75 inference(rename_variables,[],[12441])). % 209.57/209.75 cnf(13999,plain, % 209.57/209.75 (P106(f335(f335(f243(f934(x139991,a922)),f335(f293(x139992,x139991,f195(f934(f933(x139992,x139991),a922))),x139993)),x139994))), % 209.57/209.75 inference(rename_variables,[],[11533])). % 209.57/209.75 cnf(14010,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(f934(x140101,a922),f934(x140101,a922))),f335(f335(f260(f934(x140101,a922),f934(x140101,a922)),x140102),f195(f934(x140101,a922)))),f322(x140101)))), % 209.57/209.75 inference(rename_variables,[],[11560])). % 209.57/209.75 cnf(14013,plain, % 209.57/209.75 (E(f335(x140131,f538(x140131,x140132,f335(x140131,x140133))),f335(x140131,x140133))), % 209.57/209.75 inference(rename_variables,[],[11279])). % 209.57/209.75 cnf(14018,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(f928(x140181),f928(x140181))),f335(f335(f260(f928(x140181),f928(x140181)),x140182),x140183)),f164(x140181,f160(x140181,f120(f934(x140181,a927))))))), % 209.57/209.75 inference(rename_variables,[],[11655])). % 209.57/209.75 cnf(14021,plain, % 209.57/209.75 (P106(f335(f335(f244(a927),x140211),f335(a119,f335(f335(f86(a927),x140211),x140212))))), % 209.57/209.75 inference(rename_variables,[],[4002])). % 209.57/209.75 cnf(14028,plain, % 209.57/209.75 (E(f335(x140281,f538(x140281,x140282,f335(x140281,x140283))),f335(x140281,x140283))), % 209.57/209.75 inference(rename_variables,[],[11279])). % 209.57/209.75 cnf(14037,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(f928(x140371),f928(x140371))),f335(f335(f260(f928(x140371),f928(x140371)),x140372),x140373)),f164(x140371,f160(x140371,f120(f934(x140371,a927))))))), % 209.57/209.75 inference(rename_variables,[],[11655])). % 209.57/209.75 cnf(14043,plain, % 209.57/209.75 (~P106(f335(f335(f72(f928(x140431),f928(x140431),f152(x140431,x140432)),x140433),f120(x140431)))), % 209.57/209.75 inference(rename_variables,[],[11371])). % 209.57/209.75 cnf(14048,plain, % 209.57/209.75 (P106(f335(f335(f243(a927),f335(f335(f86(a927),f2(a927)),x140481)),x140481))), % 209.57/209.75 inference(rename_variables,[],[13695])). % 209.57/209.75 cnf(14062,plain, % 209.57/209.75 (P106(f335(f335(f243(f934(x140621,a922)),x140622),f335(f335(f117(f934(x140621,a922)),x140623),x140622)))), % 209.57/209.75 inference(rename_variables,[],[4144])). % 209.57/209.75 cnf(14068,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(f928(x140681),f928(x140681))),f335(f335(f260(f928(x140681),f928(x140681)),f120(x140681)),x140682)),f335(f294(f928(x140681),f928(x140681)),f152(x140681,x140683))))), % 209.57/209.75 inference(rename_variables,[],[11497])). % 209.57/209.75 cnf(14074,plain, % 209.57/209.75 (~P106(f335(f335(f337(x140741),x140742),f335(f318(x140743,x140741,x140744),f335(f318(x140745,x140743,x140746),f195(f934(x140745,a922))))))), % 209.57/209.75 inference(rename_variables,[],[11505])). % 209.57/209.75 cnf(14077,plain, % 209.57/209.75 (E(f335(f85(f934(x140771,a922)),f335(f85(f934(x140771,a922)),x140772)),x140772)), % 209.57/209.75 inference(rename_variables,[],[3676])). % 209.57/209.75 cnf(14094,plain, % 209.57/209.75 (~E(f250(f934(x140941,a922)),f195(f934(x140941,a922)))), % 209.57/209.75 inference(rename_variables,[],[4739])). % 209.57/209.75 cnf(14106,plain, % 209.57/209.75 (~P106(f335(f335(f337(x141061),x141062),f335(f318(x141063,x141061,x141064),f335(f318(x141065,x141063,x141066),f195(f934(x141065,a922))))))), % 209.57/209.75 inference(rename_variables,[],[11505])). % 209.57/209.75 cnf(14109,plain, % 209.57/209.75 (P106(f335(f335(f244(a1),f335(f335(f23(a1),x141091),f84(a1))),x141091))), % 209.57/209.75 inference(rename_variables,[],[11062])). % 209.57/209.75 cnf(14114,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(x141141,x141142)),x141143),f335(f318(f933(x141144,x141144),f933(x141141,x141142),f266(x141144,x141141,x141144,x141142,x141145,x141146)),f160(x141144,f120(f934(x141144,a927))))))), % 209.57/209.75 inference(rename_variables,[],[11701])). % 209.57/209.75 cnf(14139,plain, % 209.57/209.75 (~P106(f335(f335(f263(x141391,x141392,a922,f335(f179(x141393),f120(x141393))),x141394),x141395))), % 209.57/209.75 inference(rename_variables,[],[11516])). % 209.57/209.75 cnf(14142,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(x141421,x141422)),x141423),f335(f318(f933(x141424,x141424),f933(x141421,x141422),f266(x141424,x141421,x141424,x141422,x141425,x141426)),f160(x141424,f120(f934(x141424,a927))))))), % 209.57/209.75 inference(rename_variables,[],[11701])). % 209.57/209.75 cnf(14147,plain, % 209.57/209.75 (E(f335(f335(f161(x141471,x141471),f5(x141471)),x141472),x141472)), % 209.57/209.75 inference(rename_variables,[],[3564])). % 209.57/209.75 cnf(14156,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(f928(x141561),f928(x141561))),f335(f335(f260(f928(x141561),f928(x141561)),x141562),x141563)),f164(x141561,f160(x141561,f120(f934(x141561,a927))))))), % 209.57/209.75 inference(rename_variables,[],[11655])). % 209.57/209.75 cnf(14159,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(x141591,x141591)),x141592),f271(x141591,f195(f934(x141591,a922)))))), % 209.57/209.75 inference(rename_variables,[],[11249])). % 209.57/209.75 cnf(14175,plain, % 209.57/209.75 (P106(f335(f335(f243(f934(x141751,a922)),f335(f335(f23(f934(x141751,a922)),x141752),x141753)),x141752))), % 209.57/209.75 inference(rename_variables,[],[4267])). % 209.57/209.75 cnf(14178,plain, % 209.57/209.75 (~P106(f335(f335(f263(x141781,x141782,a922,f335(f179(x141783),f120(x141783))),x141784),x141785))), % 209.57/209.75 inference(rename_variables,[],[11516])). % 209.57/209.75 cnf(14184,plain, % 209.57/209.75 (P106(f335(f335(f243(a927),x141841),f335(f335(f86(a927),x141842),x141841)))), % 209.57/209.75 inference(rename_variables,[],[3815])). % 209.57/209.75 cnf(14194,plain, % 209.57/209.75 (P106(f335(f335(f244(a1),f335(f335(f23(a1),x141941),f84(a1))),x141941))), % 209.57/209.75 inference(rename_variables,[],[11062])). % 209.57/209.75 cnf(14213,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(x142131,x142132)),x142133),f335(f318(f933(x142134,x142134),f933(x142131,x142132),f266(x142134,x142131,x142134,x142132,x142135,x142136)),f160(x142134,f120(f934(x142134,a927))))))), % 209.57/209.75 inference(rename_variables,[],[11701])). % 209.57/209.75 cnf(14218,plain, % 209.57/209.75 (E(f335(f85(f934(x142181,a922)),f335(f85(f934(x142181,a922)),x142182)),x142182)), % 209.57/209.75 inference(rename_variables,[],[3676])). % 209.57/209.75 cnf(14225,plain, % 209.57/209.75 (~P106(f335(f335(f263(x142251,x142252,a922,f335(f179(x142253),f120(x142253))),x142254),x142255))), % 209.57/209.75 inference(rename_variables,[],[11516])). % 209.57/209.75 cnf(14236,plain, % 209.57/209.75 (P106(f335(f335(f243(a927),x142361),f335(f335(f86(a927),x142362),x142361)))), % 209.57/209.75 inference(rename_variables,[],[3815])). % 209.57/209.75 cnf(14245,plain, % 209.57/209.75 (P106(f335(f335(f243(f934(x142451,a922)),f335(f335(f23(f934(x142451,a922)),x142452),x142453)),x142452))), % 209.57/209.75 inference(rename_variables,[],[4267])). % 209.57/209.75 cnf(14252,plain, % 209.57/209.75 (P106(f335(f335(f243(a927),x142521),f335(f335(f86(a927),x142522),x142521)))), % 209.57/209.75 inference(rename_variables,[],[3815])). % 209.57/209.75 cnf(14259,plain, % 209.57/209.75 (~P34(x142591,x142592,x142593,f335(f335(f161(x142594,x142591),x142595),f335(a119,f120(x142594))),f120(x142592))), % 209.57/209.75 inference(rename_variables,[],[11539])). % 209.57/209.75 cnf(14262,plain, % 209.57/209.75 (P106(f335(f335(f244(a1),f335(f335(f23(a1),x142621),f84(a1))),x142621))), % 209.57/209.75 inference(rename_variables,[],[11062])). % 209.57/209.75 cnf(14270,plain, % 209.57/209.75 (~P106(f335(f335(f72(f928(x142701),f928(x142701),f152(x142701,x142702)),x142703),f120(x142701)))), % 209.57/209.75 inference(rename_variables,[],[11371])). % 209.57/209.75 cnf(14277,plain, % 209.57/209.75 (P106(f335(f335(f243(f934(x142771,a922)),x142772),f335(f335(f117(f934(x142771,a922)),x142773),x142772)))), % 209.57/209.75 inference(rename_variables,[],[4144])). % 209.57/209.75 cnf(14287,plain, % 209.57/209.75 (P106(f335(f335(f243(f934(x142871,a922)),f335(f293(x142872,x142871,f195(f934(f933(x142872,x142871),a922))),x142873)),x142874))), % 209.57/209.75 inference(rename_variables,[],[11533])). % 209.57/209.75 cnf(14300,plain, % 209.57/209.75 (P106(f335(f335(f244(a1),f335(f335(f23(a1),x143001),f84(a1))),x143001))), % 209.57/209.75 inference(rename_variables,[],[11062])). % 209.57/209.75 cnf(14305,plain, % 209.57/209.75 (~E(f335(f78(x143051,x143052,x143053,a119),x143054),x143054)), % 209.57/209.75 inference(rename_variables,[],[11187])). % 209.57/209.75 cnf(14308,plain, % 209.57/209.75 (E(f335(x143081,f538(x143081,x143082,f335(x143081,x143083))),f335(x143081,x143083))), % 209.57/209.75 inference(rename_variables,[],[11279])). % 209.57/209.75 cnf(14317,plain, % 209.57/209.75 (~P106(f335(f335(f244(a927),x143171),f335(f196(f928(x143172)),f120(x143172))))), % 209.57/209.75 inference(rename_variables,[],[12858])). % 209.57/209.75 cnf(14329,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(f928(x143291),f928(x143291))),f335(f335(f260(f928(x143291),f928(x143291)),x143292),x143293)),f164(x143291,f160(x143291,f120(f934(x143291,a927))))))), % 209.57/209.75 inference(rename_variables,[],[11655])). % 209.57/209.75 cnf(14334,plain, % 209.57/209.75 (P106(f335(f335(f243(f934(x143341,a922)),f335(f179(x143341),f335(f335(f145(x143341),x143342),x143343))),f335(f179(x143341),x143343)))), % 209.57/209.75 inference(rename_variables,[],[4244])). % 209.57/209.75 cnf(14352,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(f928(x143521),f928(x143521))),f335(f335(f260(f928(x143521),f928(x143521)),x143522),x143523)),f164(x143521,f160(x143521,f120(f934(x143521,a927))))))), % 209.57/209.75 inference(rename_variables,[],[11655])). % 209.57/209.75 cnf(14357,plain, % 209.57/209.75 (P106(f335(f335(f243(a1),f50(a927,x143571,f195(a927))),x143571))), % 209.57/209.75 inference(rename_variables,[],[12128])). % 209.57/209.75 cnf(14364,plain, % 209.57/209.75 (~P106(f335(f335(f244(a927),f335(f335(f117(a927),x143641),x143642)),x143642))), % 209.57/209.75 inference(rename_variables,[],[12199])). % 209.57/209.75 cnf(14367,plain, % 209.57/209.75 (~P106(f335(f335(f263(x143671,x143672,a922,f335(f179(x143673),f120(x143673))),x143674),x143675))), % 209.57/209.75 inference(rename_variables,[],[11516])). % 209.57/209.75 cnf(14375,plain, % 209.57/209.75 (P106(f335(f335(f243(f934(x143751,a922)),f335(f293(x143752,x143751,f195(f934(f933(x143752,x143751),a922))),x143753)),x143754))), % 209.57/209.75 inference(rename_variables,[],[11533])). % 209.57/209.75 cnf(14381,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(f928(x143811),f928(x143811))),f335(f335(f260(f928(x143811),f928(x143811)),x143812),f120(x143811))),f335(f294(f928(x143811),f928(x143811)),f164(x143811,x143813))))), % 209.57/209.75 inference(rename_variables,[],[11547])). % 209.57/209.75 cnf(14392,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(x143921,x143922)),x143923),f335(f318(f933(x143924,x143924),f933(x143921,x143922),f266(x143924,x143921,x143924,x143922,x143925,x143926)),f160(x143924,f120(f934(x143924,a927))))))), % 209.57/209.75 inference(rename_variables,[],[11701])). % 209.57/209.75 cnf(14402,plain, % 209.57/209.75 (~P106(f335(f335(f263(x144021,x144022,a922,f335(f179(x144023),f120(x144023))),x144024),x144025))), % 209.57/209.75 inference(rename_variables,[],[11516])). % 209.57/209.75 cnf(14411,plain, % 209.57/209.75 (~P106(f335(f335(f337(x144111),x144112),f335(f319(x144111,x144113,x144114),f195(f934(x144113,a922)))))), % 209.57/209.75 inference(rename_variables,[],[11252])). % 209.57/209.75 cnf(14432,plain, % 209.57/209.75 (~P106(f335(f335(f263(x144321,x144322,a922,f335(f179(x144323),f120(x144323))),x144324),x144325))), % 209.57/209.75 inference(rename_variables,[],[11516])). % 209.57/209.75 cnf(14438,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(f928(x144381),f928(x144381))),f335(f335(f260(f928(x144381),f928(x144381)),x144382),f120(x144381))),f335(f294(f928(x144381),f928(x144381)),f164(x144381,x144383))))), % 209.57/209.75 inference(rename_variables,[],[11547])). % 209.57/209.75 cnf(14441,plain, % 209.57/209.75 (~P106(f335(f335(f263(x144411,x144412,a922,f335(f179(x144413),f120(x144413))),x144414),x144415))), % 209.57/209.75 inference(rename_variables,[],[11516])). % 209.57/209.75 cnf(14455,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(x144551,x144551)),x144552),f271(x144551,f195(f934(x144551,a922)))))), % 209.57/209.75 inference(rename_variables,[],[11249])). % 209.57/209.75 cnf(14458,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(x144581,x144582)),x144583),f335(f318(f933(x144584,x144584),f933(x144581,x144582),f266(x144584,x144581,x144584,x144582,x144585,x144586)),f160(x144584,f120(f934(x144584,a927))))))), % 209.57/209.75 inference(rename_variables,[],[11701])). % 209.57/209.75 cnf(14461,plain, % 209.57/209.75 (P106(f335(f335(f337(f933(x144611,x144611)),f335(f335(f260(x144611,x144611),x144612),x144612)),f335(f335(f297(x144611,x144611,x144611),f315(x144611,x144613)),f315(x144611,f315(x144611,x144613)))))), % 209.57/209.75 inference(rename_variables,[],[12826])). % 209.57/209.75 cnf(14468,plain, % 209.57/209.75 (P106(f335(f335(f243(a927),x144681),f335(f335(f86(a927),x144682),x144681)))), % 209.57/209.75 inference(rename_variables,[],[3815])). % 209.57/209.75 cnf(14471,plain, % 209.57/209.75 (~P106(f335(f71(a927,x144711,x144712,x144713,f250(f934(a927,a922))),x144714))), % 209.57/209.75 inference(rename_variables,[],[11581])). % 209.57/209.75 cnf(14483,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(x144831,x144831)),x144832),f271(x144831,f195(f934(x144831,a922)))))), % 209.57/209.75 inference(rename_variables,[],[11249])). % 209.57/209.75 cnf(14493,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(f928(x144931),f928(x144931))),f335(f335(f260(f928(x144931),f928(x144931)),f120(x144931)),x144932)),f335(f294(f928(x144931),f928(x144931)),f152(x144931,x144933))))), % 209.57/209.75 inference(rename_variables,[],[11497])). % 209.57/209.75 cnf(14506,plain, % 209.57/209.75 (P106(f335(f335(f243(f934(x145061,a922)),x145062),f335(f335(f117(f934(x145061,a922)),x145063),x145062)))), % 209.57/209.75 inference(rename_variables,[],[4144])). % 209.57/209.75 cnf(14525,plain, % 209.57/209.75 (P106(f335(f335(f243(f934(x145251,a922)),x145252),f335(f335(f117(f934(x145251,a922)),x145253),x145252)))), % 209.57/209.75 inference(rename_variables,[],[4144])). % 209.57/209.75 cnf(14531,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(x145311,x145312)),x145313),f335(f318(f933(x145314,x145314),f933(x145311,x145312),f266(x145314,x145311,x145314,x145312,x145315,x145316)),f160(x145314,f120(f934(x145314,a927))))))), % 209.57/209.75 inference(rename_variables,[],[11701])). % 209.57/209.75 cnf(14536,plain, % 209.57/209.75 (P106(f335(f335(f243(a1),f50(a927,x145361,f195(a927))),x145361))), % 209.57/209.75 inference(rename_variables,[],[12128])). % 209.57/209.75 cnf(14539,plain, % 209.57/209.75 (~P106(f335(f335(f263(x145391,x145392,a922,f335(f179(x145393),f120(x145393))),x145394),x145395))), % 209.57/209.75 inference(rename_variables,[],[11516])). % 209.57/209.75 cnf(14542,plain, % 209.57/209.75 (E(f335(x145421,f538(x145421,x145422,f335(x145421,x145423))),f335(x145421,x145423))), % 209.57/209.75 inference(rename_variables,[],[11279])). % 209.57/209.75 cnf(14545,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(x145451,x145451)),x145452),f271(x145451,f195(f934(x145451,a922)))))), % 209.57/209.75 inference(rename_variables,[],[11249])). % 209.57/209.75 cnf(14557,plain, % 209.57/209.75 (P106(f335(f335(f243(f934(x145571,a922)),f335(f335(f23(f934(x145571,a922)),x145572),x145573)),x145572))), % 209.57/209.75 inference(rename_variables,[],[4267])). % 209.57/209.75 cnf(14566,plain, % 209.57/209.75 (P34(x145661,x145662,x145663,f335(f335(f161(x145664,x145661),x145665),f121(x145664,f120(x145664))),f120(x145662))), % 209.57/209.75 inference(rename_variables,[],[11543])). % 209.57/209.75 cnf(14581,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(x145811,x145812)),x145813),f335(f318(f933(x145814,x145814),f933(x145811,x145812),f266(x145814,x145811,x145814,x145812,x145815,x145816)),f160(x145814,f120(f934(x145814,a927))))))), % 209.57/209.75 inference(rename_variables,[],[11701])). % 209.57/209.75 cnf(14587,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(f928(x145871),f928(x145871))),f335(f335(f260(f928(x145871),f928(x145871)),x145872),x145873)),f164(x145871,f160(x145871,f120(f934(x145871,a927))))))), % 209.57/209.75 inference(rename_variables,[],[11655])). % 209.57/209.75 cnf(14592,plain, % 209.57/209.75 (~P106(f335(f335(f263(x145921,x145922,a922,f335(f179(x145923),f120(x145923))),x145924),x145925))), % 209.57/209.75 inference(rename_variables,[],[11516])). % 209.57/209.75 cnf(14597,plain, % 209.57/209.75 (P106(f335(f335(f243(f934(x145971,a922)),f335(f293(x145972,x145971,x145973),f195(f934(x145972,a922)))),x145974))), % 209.57/209.75 inference(rename_variables,[],[11578])). % 209.57/209.75 cnf(14602,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(x146021,x146021)),x146022),f160(x146021,f120(f934(x146021,a927)))))), % 209.57/209.75 inference(rename_variables,[],[12441])). % 209.57/209.75 cnf(14614,plain, % 209.57/209.75 (P106(f335(f335(f244(a1),f335(f335(f23(a1),x146141),f84(a1))),x146141))), % 209.57/209.75 inference(rename_variables,[],[11062])). % 209.57/209.75 cnf(14619,plain, % 209.57/209.75 (E(f335(x146191,f538(x146191,x146192,f335(x146191,x146193))),f335(x146191,x146193))), % 209.57/209.75 inference(rename_variables,[],[11279])). % 209.57/209.75 cnf(14629,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(x146291,x146292)),x146293),f335(f318(f933(x146294,x146294),f933(x146291,x146292),f266(x146294,x146291,x146294,x146292,x146295,x146296)),f160(x146294,f120(f934(x146294,a927))))))), % 209.57/209.75 inference(rename_variables,[],[11701])). % 209.57/209.75 cnf(14635,plain, % 209.57/209.75 (P106(f335(f335(f244(a927),x146351),f335(a119,f335(f335(f86(a927),x146351),x146352))))), % 209.57/209.75 inference(rename_variables,[],[4002])). % 209.57/209.75 cnf(14638,plain, % 209.57/209.75 (P106(f335(f335(f243(a1),f50(a927,x146381,f195(a927))),x146381))), % 209.57/209.75 inference(rename_variables,[],[12128])). % 209.57/209.75 cnf(14641,plain, % 209.57/209.75 (P106(f335(f335(f243(a1),f50(a927,x146411,f195(a927))),x146411))), % 209.57/209.75 inference(rename_variables,[],[12128])). % 209.57/209.75 cnf(14649,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(x146491,x146491)),x146492),f271(x146491,f195(f934(x146491,a922)))))), % 209.57/209.75 inference(rename_variables,[],[11249])). % 209.57/209.75 cnf(14652,plain, % 209.57/209.75 (P106(f335(f335(f243(f934(x146521,a922)),x146522),f335(f335(f117(f934(x146521,a922)),x146523),x146522)))), % 209.57/209.75 inference(rename_variables,[],[4144])). % 209.57/209.75 cnf(14664,plain, % 209.57/209.75 (E(f335(x146641,f538(x146641,x146642,f335(x146641,x146643))),f335(x146641,x146643))), % 209.57/209.75 inference(rename_variables,[],[11279])). % 209.57/209.75 cnf(14672,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(x146721,x146721)),x146722),f271(x146721,f195(f934(x146721,a922)))))), % 209.57/209.75 inference(rename_variables,[],[11249])). % 209.57/209.75 cnf(14696,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(x146961,x146961)),x146962),f271(x146961,f195(f934(x146961,a922)))))), % 209.57/209.75 inference(rename_variables,[],[11249])). % 209.57/209.75 cnf(14726,plain, % 209.57/209.75 (P106(f335(f335(f244(a1),f335(f335(f23(a1),x147261),f84(a1))),x147261))), % 209.57/209.75 inference(rename_variables,[],[11062])). % 209.57/209.75 cnf(14729,plain, % 209.57/209.75 (P106(f335(f335(f243(a927),x147291),f335(f335(f86(a927),x147292),x147291)))), % 209.57/209.75 inference(rename_variables,[],[3815])). % 209.57/209.75 cnf(14736,plain, % 209.57/209.75 (P106(f335(f335(f243(a927),x147361),f335(f335(f86(a927),x147362),x147361)))), % 209.57/209.75 inference(rename_variables,[],[3815])). % 209.57/209.75 cnf(14748,plain, % 209.57/209.75 (~P106(f335(f335(f263(x147481,x147482,a922,f335(f179(x147483),f120(x147483))),x147484),x147485))), % 209.57/209.75 inference(rename_variables,[],[11516])). % 209.57/209.75 cnf(14774,plain, % 209.57/209.75 (E(f335(f85(f934(x147741,a922)),f335(f85(f934(x147741,a922)),x147742)),x147742)), % 209.57/209.75 inference(rename_variables,[],[3676])). % 209.57/209.75 cnf(14785,plain, % 209.57/209.75 (P106(f335(f335(f243(f934(x147851,a922)),f335(f335(f23(f934(x147851,a922)),x147852),x147853)),x147852))), % 209.57/209.75 inference(rename_variables,[],[4267])). % 209.57/209.75 cnf(14812,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(x148121,x148121)),x148122),f271(x148121,f195(f934(x148121,a922)))))), % 209.57/209.75 inference(rename_variables,[],[11249])). % 209.57/209.75 cnf(14852,plain, % 209.57/209.75 (~P106(f335(f335(f337(f933(x148521,x148521)),x148522),f271(x148521,f195(f934(x148521,a922)))))), % 209.57/209.75 inference(rename_variables,[],[11249])). % 209.57/209.75 cnf(14856,plain, % 209.57/209.75 ($false), % 209.57/209.75 inference(scs_inference,[],[4105,3676,13919,13930,14077,14218,14774,4058,4522,13965,3815,13962,14184,14236,14252,14468,14729,14736,3787,4244,14334,4159,4002,14021,14635,4739,14094,3564,14147,3504,4771,4097,4164,4267,14175,14245,14557,14785,3642,3551,13904,3552,4177,4144,14062,14277,14506,14525,14652,4552,4768,11279,13783,13790,13814,13839,13845,13878,13914,14013,14028,14308,14542,14619,14664,11267,11543,14566,10753,11512,12943,12821,11371,13971,14043,14270,13559,13988,11486,12245,11497,14068,14493,11547,14381,14438,11002,11554,10589,10811,11181,12826,14461,10690,13398,11870,11261,11664,13909,13611,12862,10832,11655,13888,13993,14018,14037,14156,14329,14352,14587,11701,13848,13851,13854,13860,13863,13866,13983,14114,14142,14213,14392,14458,14531,14581,14629,11505,13773,13836,13857,13869,14074,14106,11614,11686,12337,10854,11560,14010,10982,13523,11545,13706,11249,13872,13968,14159,14455,14483,14545,14649,14672,14696,14812,14852,12441,13996,14602,11236,11252,14411,11192,11516,13875,14139,14178,14225,14367,14402,14432,14441,14539,14592,14748,11404,11533,13999,14287,14375,11576,11231,11578,14597,12164,12161,11233,11539,14259,13711,11187,14305,10985,13663,13178,12266,12600,13320,13633,11581,14471,10873,12622,12858,13801,13893,14317,13108,10499,13695,14048,12551,12124,12199,14364,12308,13452,13286,13948,11541,12382,12385,12064,11062,13925,14109,14194,14262,14300,14614,14726,12128,13922,14357,14536,14638,14641,13683,11015,11412,11670,12613,11933,12231,13093,11184,13793,13796,13193,11459,11872,10644,10796,10585,13609,10892,12074,12527,12185,12516,11155,13106,12691,10639,3198,3607,3581,3495,3546,3757,4794,13940,3918,4462,4807,4253,3570,3863,4853,5007,5682,5780,5781,5947,6005,6014,6248,6319,6341,6490,6716,6746,6787,7073,7128,7555,7956,8143,8195,8196,8197,8931,9099,9224,4839,5112,5291,5474,5475,5650,6983,7310,7311,7812,9034,9035,9051,9052,9629,5864,5375,9444,5706,6351,9460,8363,5305,5785,6050,7567,5588,5582,5498,10165,6107,4952,7740,6538,6521,5860,7735,8290,8626,8757,10063,5303,7490,7150,9071,6391,6426,8756,5427,6495,7013,8670,9919,6994,8428,6217,6336,6609,8789,9814,9874,7151,10391,9033,6562,5470,5607,6693,7127,9975,5476,7781,8692,5572,9289,9813,4902,5234,5236,6179,9991,6079,10059,5545,6727,7932,8009,8987,9811,5372,8472,9518,8056,9166,6982,5310,7185,5863,5174,5905,5026,5816,8821,5560,5722,9514,6478,8827,5948,6671,10159,7064,6001,5993,8919,5304,5420,6386,7800,9977,5926,5939,6150,10114,5428,5594,6715,6976,7980,8694,9831,7402,7660,6008,8539,9449,8823,8216,6167,8278,6357,5655,5490,9031,5834,6316,5456,6335,5862,6661,9701,8879,6529,6993,5277,4992,6778,8777,6044,6153,8255,4843,8969,6360,9802,6332,6975,6510,9153,5554,6571,8805,5991,8272,5562,8011,5493,5210,6505,7782,9060,5233,5484,7022,6563,5575,7258,7581,5665,5802,6066,8622,5557,4900,6187,5295,6713,7737,8944,5788,10179,5762,8696,6162,7199,7673,8778,8825,8840,5734,6030,6431,9998,5986,6877,8986,9572,6482,5144,5459,6213,6565,9829,9866,5606,5999,7688,6621,9738,6013,4947,7049,6170,5645,6384,8970,10474,7670,5283,6226,6618,6973,8020,6785,7016,6781,4948,9274,8598,7612,5469,5531,7051,8672,9032,9120,9164,5235,5944,7590,6169,6614,6561,5707,6660,8151,9634,10161,6957,9675,6073,8607,8755,7697,9717,8868,5730,5095,4997,9126,5930,6943,8869,9059,5556,9010,5952,5859,5145,4998,10022,5625,6766,8273,8540,8851,4864,6692,8779,9545,5544,5592,6822,7565,9873,5804,7343,10393,5933,5995,7944,6493,7981,9315,5561,5612,5661,6051,6065,6128,8682,5593,6513,8557,9461,9920,6361,5501,6390,6531,10204,8183,9744,5850,6497,8816,4896,8352,9177,10390,5211,5803,5494,6620,9314,6334,5118,5941,6352,9932,6330,8906,5466,5597,8687,9459,6255,6615,7020,9343,9522,5997,7591,5657,7116,7129,5647,10300,9812,6168,10046,4956,6823,9305,9544,5361,6388,6617,6734,6764,8067,9241,8289,8119,8271,5894,6355,6425,6434,8662,5419,7608,4898,7001,6619,7419,9036,8641,9498,6484,5032,9639,9642,2,6295,7886,10199,5756,6628,5989,9836,5832,6054,6900,9470,9931,7192,4932]), % 209.57/209.75 ['proof']). % 209.57/209.75 % SZS output end Proof % 209.57/209.75 % Total time :194.890000s %------------------------------------------------------------------------------